Write two numbers that multiply to the value on top and add to the value on bottom
Submit Answer
45
X
-14

Write Two Numbers That Multiply To The Value On Top And Add To The Value On BottomSubmit Answer45X-14

Answers

Answer 1

Answer:

-9 and -5

Step-by-step explanation:

-9 + -5 = -14

-9 * -5 = 45

Answer 2

Answer:

- 9 and - 5

Step-by-step explanation:

- 9 × - 5 = 45 and - 9 + (- 5) = - 9 - 5 = - 14


Related Questions

sion Problems
How you solve each problem.
Yuki and Jake made 52 snowballs if they wanted to
share them evenly with 2 other friends, how many
snowbalis would each of the 4 of them get?

Answers

The answer is each of the 4 friends would get 13 snowballs.

52 divided by 4 = 13

Answer: 52 divided by 4 is 13 each of them would get 13 snowballlllsssssss!!!!

Step-by-step explanation:

Write the inverse of the function p(x)=4x - 8. Show all work for full credit.

Answers

Answer:

To find the inverse of the function p(x) = 4x - 8, we need to switch the x and y variables and solve for y.

Step 1: Replace p(x) with y.

y = 4x - 8

Step 2: Switch x and y variables.

x = 4y - 8

Step 3: Solve for y.

Add 8 to both sides:

x + 8 = 4y

Divide both sides by 4:

y = (x + 8)/4

Therefore, the inverse of the function p(x) = 4x - 8 is q(x) = (x + 8)/4.

Step-by-step explanation:

2) You are given the following time line; CFs are at the end of the year. Years: 0 1 2 3 4 5 CF $s 0 1500 1500 3000 4500 5000 Rate: 12.00% bgs a) Calculate the PV of the CFs

Answers

According the question given above the present value of the cash flows is $12,114.36.

What is Algebraic expressiοn ?

Algebraic expressiοn can be defined as cοmbinatiοn οf variables and cοnstants.

Tο calculate the present value (PV) οf the cash flοws (CFs), we need tο discοunt each cash flοw tο its present value using the given rate οf 12%. The fοrmula tο calculate the present value οf a cash flοw is:

[tex]PV = CF / (1 + r)^n[/tex]

where:

PV = present value οf the cash flοw

CF = cash flοw amοunt

r = discοunt rate

n = number οf periοds (in this case, the number οf years)

Using this fοrmula, we can calculate the present value οf each cash flοw as fοllοws:

[tex]PV(CF0) = 0 / (1 + 0.12)^0 = 0[/tex]

[tex]PV(CF1) = 1500 / (1 + 0.12)^1 = 1339.29[/tex]

[tex]PV(CF2) = 1500 / (1 + 0.12)^2 = 1191.08[/tex]

[tex]PV(CF3) = 3000 / (1 + 0.12)^3 = 2382.16[/tex]

[tex]PV(CF4) = 4500 / (1 + 0.12)^4 = 3221.56[/tex]

[tex]PV(CF5) = 5000 / (1 + 0.12)^5 = 3080.27[/tex]

Tο find the present value οf all the cash flοws, we simply add up the present values οf each cash flοw:

PV = PV(CF0) + PV(CF1) + PV(CF2) + PV(CF3) + PV(CF4) + PV(CF5)

= 0 + 1339.29 +1191.08 + 2382.16 + 3221.56 + 3080.27

= 12114.36

Therefοre, the present value οf the cash flοws is $12,114.36.

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1.) The following two arguments are Invalid arguments, so each breaks at least 1 of the rules. Tell which
of the rules are broken in the following and briefly explain:
ALL P are Q
NO Q are S
Some Pare R
All A are B
All B are C
All Care A

Answers

The rule broken in the first argument is of undistributed middle.

The rule broken in the second argument is of exclusive middle.

What is Converse?

In logic and mathematics,  converse of statement is formed by switching  hypothesis and conclusion of original statement. For example,  converse of the statement "If it rains, the streets get wet" is "If the streets get wet, it is raining."

The first argument violates the rule of the undistributed middle. The argument appears to be the fallacy of the converse of the inverse. This is a form of invalid reasoning where the contrapositive of a true statement is used as evidence for the original statement. The argument could be stated in syllogistic form as:

Premise 1: All P are Q.

Premise 2: No Q are S.

Conclusion: Some P are not S.

This argument is invalid because it violates the rule of the undistributed middle. The middle term Q is not distributed in either premise, which means that we cannot logically conclude anything about the relationship between P and S.

The second argument violates the rule of the exclusive middle. The argument appears to be the fallacy of the illicit conversion. This is a form of invalid reasoning where the subject and predicate terms of a statement are switched without changing the truth value of the statement. The argument could be stated in syllogistic form as:

Premise 1: All A are B.

Premise 2: All B are C.

Conclusion: All C are A.

This argument is invalid because it violates the rule of the exclusive middle. The argument assumes that there are only three categories of things: A, B, and C. However, this assumption is not justified, and there may be other categories that are not included in the argument.

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At the end of the spring semester, the dean of students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year.

The average was a gain of µ = 15 pounds with a standard deviation of
= 6. The distribution of scores was approximately normal.

A sample of n = 4 students is selected, and the average weight change is computed for the sample.

What is the probability that the sample mean will be greater than M = 10 pounds? In symbols, what is p (M > 10) (four decimals)

Answers

The probability that the sample mean weight change is greater than 10 pounds is p(M > 10) = 0.9088.

What is the probability?

To find the probability that the sample mean will be greater than M = 10 pounds, we need to standardize the sample mean using the formula for z-score:

z = (M - µ) / (σ / √n)

Substituting the given values, we get:

z = (10 - 15) / (6 / √4)

z = -1.33

Using a standard normal distribution table or calculator, we can find the probability that z is greater than -1.33, which is approximately 0.9088.

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Find all the remaining zeros if 1-2i is a zero. f(x)=4x^(4)+17x^(2)+14x+65

Answers

Answer:

Step-by-step explanation:

If 1-2i is a zero of the polynomial, then its conjugate 1+2i is also a zero. This is because complex zeros of a polynomial with real coefficients always occur in conjugate pairs.

Let's use synthetic division to factor out the polynomial with the given zeros:

1-2i | 4 0 17 14 65

| 4 -8i -9+2i -12

-------------------

4 4 -8i -9+2i 53

So we have factored the polynomial as:

f(x) = (x - 1 + 2i)(x - 1 - 2i)(4x^2 + 4x - 53)

Now we need to find the zeros of the quadratic factor:

4x^2 + 4x - 53 = 0

Using the quadratic formula, we get:

x = (-4 ± sqrt(16 + 4453)) / 8

x = (-4 ± sqrt(848)) / 8

x = (-4 ± 4sqrt(53)) / 8

x = (-1 ± sqrt(53)) / 2

So the remaining zeros are (-1 + sqrt(53))/2 and (-1 - sqrt(53))/2.

If the product of two numbers is 23 and the sum of the reciprocals is 2, what is the sum of these numbers?

Answers

Answer:

Let the two numbers be x and y. We know that:

xy = 23

We also know that:

1/x + 1/y = 2

Multiplying both sides of the second equation by xy, we get:

y + x = 2xy

Substituting the value of xy from the first equation, we get:

y + x = 2(23)

y + x = 46

Therefore, the sum of the two numbers is 46.

Step-by-step explanation:


Determine the slope of the line passing through the points (9, 4) and (-6, -7).

Answers

Answer:

slope = [tex]\frac{11}{15}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-x_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 4 ) and (x₂, y₂ ) = (- 6, - 7 )

m = [tex]\frac{-7-4}{-6-9}[/tex] = [tex]\frac{-11}{-15}[/tex] = [tex]\frac{11}{15}[/tex]

Find the indicated terms of the geometric sequence with the given description.

The fourth term is 18 and the seventh term is (16/3). Find the first and nth terms.

Answers

Answer: Let's denote the first term of the geometric sequence as "a", and the common ratio as "r". Then, we can use the given information to set up a system of equations:

a * r^3 = 18 (the fourth term is 18, so ar^3 is the fourth term)

a * r^6 = 16/3 (the seventh term is 16/3, so ar^6 is the seventh term)

To solve for "a" and "r", we can divide the second equation by the first equation:

(a * r^6) / (a * r^3) = (16/3) / 18

Simplifying this expression, we get:

r^3 = (16/3) / 18 = 16/54 = 8/27

Taking the cube root of both sides, we get:

r = 2/3

Substituting this value of "r" into the first equation, we can solve for "a":

a * (2/3)^3 = 18

a = 18 / (2/3)^3

a = 27

Therefore, the first term of the geometric sequence is 27, and the nth term is given by:

a * r^(n-1) = 27 * (2/3)^(n-1)

Step-by-step explanation:

Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 14, 16, 18, ...14,16,18,....

Answers

The n-th term οf the sequence is given by the fοrmula a_n = 2n + 12.

What is Arithmetic Prοgressiοn?

An arithmetic prοgressiοn is a sequence οf numbers where each term is οbtained by adding a fixed value (called the cοmmοn difference) tο the previοus term. It is a type οf sequence that fοllοws a specific pattern, where the difference between cοnsecutive terms is cοnstant. Arithmetic prοgressiοns are cοmmοnly used in mathematics and variοus fields such as finance, physics, and cοmputer science.

The given sequence has a cοmmοn difference οf 2 between cοnsecutive terms. Therefοre, we can find the n-th term by adding (n-1) times the cοmmοn difference tο the first term οf the sequence.

The first term οf the sequence is 14, and the cοmmοn difference is 2.

Sο, the explicit fοrmula fοr the n-th term οf the sequence is:

a_n = 14 + 2(n-1)

Simplifying, we get:

a_n = 2n + 12

Therefοre, the n-th term οf the sequence is given by the fοrmula a_n = 2n + 12.

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the area is 32cm2 pls solve find the total shaded area

Answers

The triangular system has, by means of fractions, a total shaded area of 27 / 2 square centimeters.

How to determine the total shaded area of a triangle

In this problem we have the area of an entire triangle, from which we need to determine the total shaded area, this can be done by subtracting triangles from the entire triangle, by means of fractions, whose complete operation is shown below:

A = 32 - (1 / 4) · 32 - (3 / 4) · (1 / 4) · 32 - (3 / 4)² · (1 / 4) · 32

A = [1 - 1 / 4 - (3 / 4) · (1 / 4) - (3 / 4)² · (1 / 4)] · 32

A = 27 / 2 cm²

Please notice that shaded areas are positive and blank areas are negative.

By means of fractions, the total shaded area of the triangular system is equal to 27 / 2 square centimeters.

Remark

The statement is incomplete. After a quick investigation we conclude that the complete statement is the following:

The area of a complete triangle (without blank spaces) is 32 square centimeters, please compute the total shaded area, that is, the area of the composite figure seen in the figure.

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The combination of your locker contains 3 non-repeating digits from the numbers 0-9.

What would the answer be to the question above if you absolutely choose 9 as your first digit?

Answers

There are total 56 combination of your locker contains 3 non-repeating digits from the numbers 0-9.

Combinations are mathematical operations that count all possible arrangements of a set of components when the order in which they are selected is irrelevant. Components for combos can be selected in any hierarchy.

Moreover, there are two other kinds of combinations (the specific sequence is not relevant at this time): It's acceptable to repeat phrases like "coins in your pocket" (5,5,5,10,10) In the same way, lottery numbers (2,14,15,27,30,33)

Combinations are mathematical operations that count all possible arrangements of a set of components when the order in which they are selected is irrelevant. Components for combos can be selected in any hierarchy.

Permutations and combinations are compatible.

As the first digit is fixed i.e. 9,

So, there are 2 non-repeating digits left,

Using permutations,

we are left with 8 × 7 = 56 ways.

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The mean weight of all Goliath grouper caught on the Treasure coast is 418 pounds, with a standard deviation of 74 pounds. Suppose a random sample of 39 Goliath Grouper from the Treasure Coast are caught and weighed.

Determine the probability that the average weight of the sample of 39 Goliath Grouper is within 14 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary.

Answers

Therefore, the probability that the average weight of the sample of 39 Goliath Grouper is within 14 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast is approximately 0.2342 or 23.42%.

What is mean?

In mathematics and statistics, the mean is a measure of central tendency of a set of numerical data. It is also known as the arithmetic mean or average, and is calculated by summing up all the values in the dataset and then dividing by the number of values. The mean provides a useful summary of the data as it gives an idea of the typical or average value in the dataset. It is commonly used in various fields, including finance, science, and social sciences, to analyze and interpret data. However, the mean can be sensitive to extreme values or outliers in the dataset, so it is important to consider other measures of central tendency, such as the median and mode, in addition to the mean.

Here,

We can approach this problem using the central limit theorem, which states that the distribution of sample means will be approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Let's first calculate the standard error of the mean:

standard error of the mean = standard deviation / sqrt(sample size)

= 74 / √(39)

≈ 11.83

Next, we need to find the z-score corresponding to a sample mean within 14 pounds of the population mean:

z = (sample mean - population mean) / standard error of the mean

= (418 - 14 - 418) / 11.83

= -1.19

Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than -1.19 is about 0.1171. Since we're interested in the probability that the sample mean is within 14 pounds of the population mean, we can multiply this probability by 2 to account for the area under the curve in both tails:

P(sample mean within 14 pounds of population mean) ≈ 2 * 0.1171 ≈ 0.2342

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Which value must be added to the expression x^2 + 12x to make it a perfect-squared trinormal?

Answers

To make X^2+12x a perfect square, divide the coefficient of x by 2 and the add the square of the result to make this a perfect square.
Hence
12/2=6 and 6^2=36


We should add 36 to make x^2+12x a perfect square.

Which inequality is true when the value of x is -5?

Answers

The true inequality from the list of options is (c) -x - 6 > -3.5

How to determine the true inequality

To determine which inequality is true when x is -5, we need to substitute -5 for x in each inequality and simplify.

a) -x – 6 < -3.5

Substituting x = -5, we get:

-(-5) - 6 < -3.5

5 - 6 < -3.5

-1 < -3.5

This is false, so option a) is not true.

b) -x – 6 > 3.5

Substituting x = -5, we get:

-(-5) - 6 > 3.5

5 - 6 > 3.5

-1 > 3.5

This is false, so option b) is not true.

c) -x - 6 > -3.5

Substituting x = -5, we get:

-(-5) - 6 > -3.5

5 - 6 > -3.5

-1 > -3.5

This is true, so option c) is true.

Hence, the correct option is (c) -x - 6 > -3.5

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Complete question

Which inequality is true when the value of x is -5?

a) -x – 6 < -3.5

b) -x – 6 > 3.5

c) -x - 6 > -3.5

d) x - 6 > -3.5

Find the Value of X using trigonometry. Round your answer to the nearest tenth.​

Answers

Answer:

x ≈ 46.1

Step-by-step explanation:

using the sine ratio in the right triangle

sin19° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )

x × sin19° = 15 ( divide both sides by sin19° )

x = [tex]\frac{15}{sin19}[/tex] ≈ 46.1 ( to the nearest tenth )

12 people sit down for dinner at gullo's. 1/6 order a shrimp poboy. 1/2 order a cheese burger . The rest order a salad
What expression would you use to determine how many people ordered the salad
What expression would you use to determine how many people did not order the
How many people order a salad

Answers

We may take the number of people who ordered a salad out of the total to find the number of individuals who did not order one:

12 - 4 = 8 people did not order a salad.

The expression to use to estimate the number of persons that ordered the salad would be

(1/3) x 12 = 4 people ordered a salad

what is an expression?

Every mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Everything with a variable value is anything whose value changes over time. Typically, alphabetical letters like a, b, c, m, n, p, x, y, and z are used to denote expression variables. A combination of several variables and integers can be used to create a variety of expressions.

from the question:

We can utilize the information that 1/6 of customers ordered a shrimp po'boy and 1/2 ordered a cheeseburger to estimate how many individuals ordered the salad. Hence, the proportion of customers that choose a salad is:

1 - (1/6 + 1/2) = 1 - 2/3 = 1/3

Hence, to count how many people ordered the salad, the statement would be:

4 individuals (1/3) x 12 ordered salads.

We may take the number of people who ordered a salad out of the total to find the number of individuals who did not order one:

Those who did not order a salad were 12 - 4 = 8.

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what should be added to 6x²+9x-8 to obtain 4x²-8x+6 ?​

Answers

Hence, in answering the stated questiοn, we may say that As a result, we  equatiοn must add (2x - 1)2 + 5 tο 6x² + 9x - 8 tο get 4x² - 8x + 6.

What is equatiοn?

A algebraic equatiοn is a strategy fοr linking twο prοpοsitiοns and expressing equivalence using the equals symbοl (=). A mathematical sentence that shοws the equivalency οf twο fοrmulas is knοwn as an equatiοn in algebra. In the calculatiοn 3x + 5 = 14, fοr example, the equal sign puts a space between the values 3x + 5 and 14. Tο describe the relatiοnship between the twο sentences printed alοng either side οf a letter, a mathematical fοrmula can be utilised. Usually, the insignia and the prοgramme are the same. 2x - 4 = 2, fοr example.

Tο identify what shοuld be added tο 6x² + 9x - 8 tο create 4x² - 8x + 6, we need tο undertake a methοd called "cοmpleting the square".

We can cοnclude frοm cοmparing the twο fοrmulas that a = 4, b = -8, and c = 6.

Sο we must "finish the square" by adding and remοving a term equal tο (b/2a)2. In this instance, we have:

(b/2a)² = (-8/2(4))

a² = 1

4x² - 8x + 6 + 1 - 1

(4x² - 8x + 1) + (6 - 1) (6 - 1)

(4x² - 8x + 1) is a perfect square trinοmial, which may be factοred as (2x - 1)².

As a result, the ultimate sοlutiοn is:

6x² + 9x - 8 + 1 - 1 + (2x - 1) (2x - 1)

a² + 5

As a result, we must add (2x - 1)² + 5 tο 6x² + 9x - 8 tο get 4x² - 8x + 6.

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The list below shows the scores for each of Sarah’s homework assignments.
100, 95, 47, 83, 87, 89, 89
If the score 47 is removed from the list, which of the following statements is true?
Group of answer choices

The mean will decrease.

The mean will increase by about 6.

The mean will increase by 47.

The mean will remain the same.

Answers

Answer:

i think it will decrease

Step-by-step explanation:

5 On a scale drawing, the height of a tree is 3.75 inches.
Part A
If the scale of the drawing is 1 in.: 50 ft, how tall is the tree?
A
13.3 in.
B
13.3 ft
C 187.5 in.
D 187.5 ft
Part B
If the same tree is shown as 6 inches tall in a new scale drawing, mademulov ort
what is the new scale?
1 in.:.what about part b

Answers

Part A:

We are given that the height of a tree in a scale drawing is 3.75 inches. The scale of the drawing is 1 inch: 50 feet.

To find the height of the actual tree, we can use the ratio of the drawing scale to the real-life scale. For every 1 inch on the drawing, there are 50 feet in real life.

Therefore, we can set up a proportion:

[tex]$\frac{1 \ \text{inch}}{50 \ \text{feet}} = \frac{3.75 \ \text{inches}}{x \ \text{feet}}$where $x$ is the height of the actual tree in feet.We can solve for $x$ by cross-multiplying:$1 \ \text{inch} \cdot x = 3.75 \ \text{inches} \cdot 50 \ \text{feet}$$x = \frac{3.75 \ \text{inches} \cdot 50 \ \text{feet}}{1 \ \text{inch}} = 187.5 \ \text{feet}$Therefore, the height of the tree is $\boxed{D \ 187.5 \ \text{ft}}$.[/tex]

[tex]Part B:We are now given a new scale drawing where the height of the same tree is 6 inches. We need to find the new scale.Since the tree's height in the new drawing is different, we can use a new proportion to find the new scale.Let the new scale be $1$ inch to $x$ feet. We can set up a proportion:[/tex]

[tex]$\frac{1 \ \text{inch}}{x \ \text{feet}} = \frac{6 \ \text{inches}}{187.5 \ \text{feet}}$where $187.5$ feet is the height of the tree in real life.We can solve for $x$ by cross-multiplying:$1 \ \text{inch} \cdot 187.5 \ \text{feet} = 6 \ \text{inches} \cdot x \ \text{feet}$$x = \frac{1 \ \text{inch} \cdot 187.5 \ \text{feet}}{6 \ \text{inches}} = 31.25 \ \text{ft}$Therefore, the new scale is $\boxed{1 \ \text{inch} : 31.25 \ \text{ft}}$.[/tex]

Answer:

Step-by-step explanation:

Part A:

We can use a proportion to solve for the height of the tree:

1 inch on the drawing represents 50 feet in real life.

So, 3.75 inches on the drawing would represent:

3.75 inches * (50 feet/1 inch) = 187.5 feet

Therefore, the height of the tree is 187.5 feet.

The answer is D) 187.5 ft.

Part B:

The ratio of the height of the tree on the new scale drawing to its actual height must be the same as the ratio of the height of the tree on the original scale drawing to its actual height.

Let the new scale be 1 in. : x feet.

Then, we have the proportion:

1 in. / 50 ft. = 6 in. / (x) ft.

Solving for x, we get:

x = (6 in. * 50 ft.) / 1 in.

x = 300 ft.

Therefore, the new scale is 1 in. : 300 ft.

The answer is 1 in. : 300 ft.

what is the answer to this ?

Answers

Answer:

-f(x+3) and -2f(x)+4

Step-by-step explanation:

it is all the ones with a negative in front of the function, so that is -f(x+3) and -2f(x)+4.

Find the (unique) solution to the following systems of equations, if possible, using Cramer's Rule.


(a) x + y = 34 2x - y = 30


(b) 2x - 3y = 5 -4x + 6y = 10


(c) 3x + y = 7 2x - 2y = 7

Answers

After answering the presented question, we can conclude that As a equation result, the system of equations solution is [tex]x = 64/3 \\and \\y = 62/3.[/tex]

What is equation?

In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). The argument "2[tex]x + 3 = 9,"[/tex] for example, states that the sentence "2x Plus 3" equals the value "9." The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. In the equation [tex]"x^2 + 2x - 3 = 0,"[/tex] the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.

[tex](a) x + y = 34[/tex]

[tex]2x - y = 30[/tex]

The matrix of coefficients is | 1 1 | | 2 -1 |

This matrix's determinant is 130 - 342 = -62.

We can obtain the values of x and y using Cramer's Rule as follows:

[tex]x = det(A1)/det(A) = (-64)/(-3), = 64/3.[/tex]

[tex]y = det(A2)/det(A) = (-62)/(-3), = 62/3.[/tex]

As a result, the system of equations solution is [tex]x = 64/3 and y = 62/3.[/tex]

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Johnathan is using a hose to fill his pool with water. The pool already had 2,000 gallons of water in it before he started, and the hose puts water into the pool at a rate of 360 gallons per hour. Let g represent the number of gallons that the hose has put into the pool after a given number of hours. Let h represent the number of hours that the hose has put water into the pool. Let w represent the total number of gallons of water in the pool. Complete the equations so that: Equation 1 shows the relationship between g and h. Equation 2 shows the relationship between g and w.

Answers

Therefore, Equations 1 and 2 are: Equation 1: g = 360h

Equation 2: w = 2,000 + 360h.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides separated by an equal sign (=). The expressions on both sides of the equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal in solving an equation is to find the value of the variable that makes the equation true. Equations are used extensively in mathematics and science to model real-world phenomena and solve problems.

by the question.

We know that the hose puts water into the pool at a rate of 360 gallons per hour. Therefore, after h hours, the hose has put g gallons of water into the pool. We can express this relationship using the following equation:

Equation 1: g = 360h

We also know that the pool already had 2,000 gallons of water in it before Johnathan started filling it with the hose. Therefore, the total number of gallons of water in the pool after h hours is given by:

w = 2,000 + g

We can substitute the expression for g from Equation 1 into this equation to obtain an equation that relates g and w:

Equation 2: w = 2,000 + 360h

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Choose ALL answers that describe the polygon.

Answers

Answer:

ParallelogramQuadrilateralRectangle

Step-by-step explanation:

You want to know the names of a 4-sided figure with opposite sides congruent and adjacent sides perpendicular.

Congruent sides

A 4-sided figure is a quadrilateral.

When opposite sides are the same length, the quadrilateral is a parallelogram.

When corners of a parallelogram are right angles, it is a rectangle.

__

Additional comment

A rhombus also has congruent adjacent sides, as does a square. We are not told that is the case here. A trapezoid is not a parallelogram.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $1,575/month. The interest rate for the mortgage is 4.65%. What must their realized income be before each month?

Be sure to include the following in your response:

The answer to the original question

The mathematical steps for solving the problem demonstrating mathematical reasoning

Answers

Their realized income must be $567,000 per year to make the monthly payments on the mortgage.

How much does a mortgage interest rate cost?

The average interest rate on a 30-year fixed mortgage as of today, March 9, 2023, is 7.13%, up 7 basis points from one week ago. The average 30-year fixed refinancing interest rate is currently 7.12%, which is a decrease of 2 basis points over the previous week.

We must apply the following calculation to compute the amount of money needed each month to pay the mortgage:

Payment each month is (P * r) / (1 - (1 + r)(-n))

where:

P is the principal sum (the amount of the house minus the down payment)

r is the ongoing interest rate (annual interest rate divided by 12)

n is the overall number of payments (number of years multiplied by 12)

The major sum, as far as we are aware, is:

P = $187,500 - (20% * $187,500) = $150,000

The monthly interest rate is as follows because we also know that the interest rate is 4.65%:

r = 0.0465 / 12 = 0.003875

Finding the total number of payments is our last step. The number of months it will take to pay off the mortgage may be calculated using the knowledge that they will be paying $1,575 per month:

$1,575 = ($150,000 * 0.003875) / (1 - (1 + 0.003875)^(-n))

This equation is simplified, and the result is:

1 - (1 + 0.003875)^(-n) = ($150,000 * 0.003875) / $1,575

(1 + 0.003875)^(-n) = 1 - (($150,000 * 0.003875) / $1,575)

(-n) * log(1 + 0.003875) = log(1 - (($150,000 * 0.003875) / $1,575))

n = log(1 - (($150,000 * 0.003875) / $1,575)) / log(1 + 0.003875)

Calculating n, we discover that it roughly corresponds to 360 months (or 30 years).

Their realised income must therefore be:

Realized income is $1,575 multiplied by 12 months in a year for 30 years, or $567,000 annually.

Their realised income must be $567,000 annually in order to cover the mortgage payments.

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Which is a solution to the equation StartAbsoluteValue StartFraction y Over 4 EndFraction minus 2 EndAbsoluteValue = 22?
y = negative 6
y = negative 5
y = 80
y = 96

Answers

Answer:see answer

Step-by-step explanation:see answer

Answer:

y=96                                          

     




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Elsa has completed 56 deliveries so far this week. She needs to make 70 deliveries for the week. What percentage of her deliveries has Elsa completed?

Answers

Answer:

80 percent

Step-by-step explanation:

One side of a parallelogram is 30cm, and its area is 540cm². Find the height corresponding to the given side.​

Answers

The height corresponding to the given side is 18cm

How to determine the height

Some of the properties of a parallelogram are given below as;

The opposite sides of a parallelogram are equal.The opposite angles of a parallelogram are congruent or equal.The measure of the sum of the interior angles are 360 degrees.The interior alternating angles are supplementary, that is, their sum is 180 degrees.

The formula for calculating the area of a parallelogram is expressed as;

Area = bh

Given that;

b is the base side of the parallelogram and h is the height

Substitute the values

540 = 30h

Divide by the coefficient of h

h = 18 cm

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Find the diameter. Round to the nearest whole number.

Answers

Answer : 14

Explanation : Divide The Circumference By π, Or 3.14 For The Answer.

Answer: 14

Step-by-step explanation:

To find the diameter, divide your circumference by pi "3.14".

43.9/3.14 = 13.9808917197

Rounded to the nearest whole number is: 14

Have a good day!

Help ASAP PLEASE Determine the scale factor used to create the image

A 1/2

B 2

C1/4

D 4

Answers

Answer:

The answer is B)2

Step-by-step explanation:

As you can see, the length and height of the bigger rectangle is twice the length and height of the smaller rectangle.

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