Answer:
The equation of the line that passes through the point (-7, -8) and parallel to the given line is y = 5/7·x - 3
Step-by-step explanation:
The coordinates of the point the line passes = (-7, -8)
The equation of the line the required line is parallel to is y = 5/7·x - 5
The slope of of the given line is therefore in slope and intercept form with the slope = 5/7 and the y-intercept = -5
The slope of a line parallel to another line are equal, therefore the slope of the required line = The slope of the given line = 5/7
The equation of the required line in point slope form is therefore;
y - (-8) = 5/7 × (x - (-7))
y + 8 = 5/7 × x + 5/7 × 7
y + 8 = 5/7 × x + 5
∴ y = 5/7 × x + 5 - 8 = 5/7 × x - 3
y = 5/7 × x - 3
The equation of the line that passes through the point (-7, -8) and parallel to y = 5/7x - 5 is y = 5/7·x - 3.
Kathy deposits $25 into an investment account with an
annual rate of 5%, compounded annually. The amount in
her account can be determined by the formula A = P(1 + R),
where P is the amount deposited, R is the annual interest
rate, and t is the number of years the money is invested. If
she makes no other deposits or withdrawals, how much
money will be in her account at the end of 15 years?
Answer:
25 x 1.05^15 = $51.97
I NEED HELP ASAP PLEASE!! -4(w+1)=-24 w= what?
GiveN:
-4(w + 1) = -24wWhat to do?
We have to solve for wStep-by-step explanation:
For solving the Equation, we need to simplify it first. Expanding the parentheses.
⇒ -4w - 4 = -24 w
Shifting -24 w to the LHS to isolate m and shifting 4 to the RHS[tex].[/tex]
⇒ -4w + 24w = 4
⇒ 20w = 4
Dividing the equation by 20, So that we will get w in the LHS of the equation.
⇒ w = 4/20
⇒ w = 1/5
The required value of w is 1/5.
A teacher assigns 5 points for a correct answer and -2 points for an incorrect answer and 0 points for leaving the questioned unanswered. What is the score for Mohit who had 22 correct answers and 15 incorrect answers and 7 unanswered questions?
Answer:
Mohit has a score of 80
Step-by-step explanation:
Answer: Mohit got a scoe of 70
Step-by-step explanation: had this question on my assigment
Solve the equation, justify
each step with an algebraic
property
50 + 3x = 7x- 2
Answer:
13
Step-by-step explanation:
Step 1:
50 + 3x = 7x - 2 Equation
Step 2:
50 = 4x - 2 Subtract 3x on both sides
Step 3:
52 = 4x Add 2 on both sides
Step 4:
x = 52 ÷ 4 Divide
Answer:
x = 13
Hope This Helps :)
Convert 50.0 mL to liters. Use the appropriate significant figures
Answer:
50 ml = 0.050 liters
Step-by-step explanation:
The solution is:
The mass/volume percent = 16/50 x 100% = 32%
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Explanation
Given:
Mass of NaCl, m = 16.0 g
Volume of solution, v = 50.0 mL
What to find:
The mass/volume percent.
Solution
The mass/volume percent of the solution can be calculated using the formula below
The mass/volume percent = mass/volume x 100%
so, we get,
The mass/volume percent
= 16/50 x 100%
= 32%
Hence, The mass/volume percent is 32%.
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complete question;
Calculate the mass/volume percent (m/v) of 16.0 g NaCl in 50.0 mL of solution.Express your answer to three significant figures.
State the degree of the polynomial.
3x2y + 4xy + 1 − 5x4y − 6y,
Answer:
The degree of the given polynomial is 5
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of its monomials with non-zero coefficients.
The degree of a monomial is the sum of the exponents of the variables that appear in it.
We have the following polynomial:
[tex]3x^2y + 4xy + 1 - 5x^4y - 6y[/tex]
Degree of the first monomial: 2+1=3
Degree of the next monomial: 1+1=2
Degree of the next monomial: 0
Degree of the next monomial: 4+1=5
Degree of the next monomial: 1
Thus, the degree of the given polynomial is 5
How do you solve 60/5/90 can anyone divide that, please I will give brainliest
Answer:
Step-by-step explanation:
60/5 is 12
12/90 is .133repeated
Explain in your own words what happens when a car's tires are changed from the original size to a LARGER size. How is the odometer affected? How is the speedometer
affected?
Answer:
Step-by-step explanatin
it affects it because your going from smaller tires witch make it easier to make turns go faster things like that when you put bigger tires on the car it is gonna raise the car and have a whole differnt outlook
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1 year. From past studies, she knows the population standard deviation is 8.265. How many first-year residents must she survey to be 95% confident?
Answer: The number of first-year residents she must survey to be 95% confident= 263
Step-by-step explanation:
When population standard deviation ([tex]\sigma[/tex]) is known and margin of error(E) is given, then the minimum sample size (n) is given by :-
[tex]n=(\dfrac{z^*\sigma}{E})^2[/tex], z* = Two-tailed critical value for the given confidence interval.
For 95% confidence level , z* = 1.96
As, [tex]\sigma[/tex] = 8.265, E = 1
So, [tex]n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}][/tex]
Hence, the number of first-year residents she must survey to be 95% confident= 263
4> 9 + 10
whats the anwsers?
Answer:
4>19
The statement is false 4 is not bigger than 19.
PLEASE HELP!
You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
0.33% and 1 time
3% and 4 times
3% and 144 times
0.33% and 144 times
Answer:
The final balance is $1,612.23.
The total compound interest is $612.23.
Step-by-step explanation:
The required equivalent interest rate and money compounded is 0.33% and 144 times respectively. Option b is correct.
Equivalent interest rate for 4% and how many times the money will be compounded to be determine.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the equivalent interest rate = 4%/12
= 1/3
= 0.33%
Now, number of times money compounded = 12 years
= 12 x 12 months
= 144
Thus, the required equivalent interest rate and money compounded is 0.33% and 144 times respectively.
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HELP ILL AWARD BRAINLIEST
Answer:
Think about it
Step-by-step explanation:
If you made $20 in 2 hrs you made $10 per hour
To find out how much you make per certain number of hrs multiply $10 by the number of hours
The equation is y = 10x + 0 <-- this is also answer to number 4
10x is the constant of proportionality I think.
3. Solve for x.
4d = txy
Answer:
[tex]\huge\boxed{x=\frac{4d}{ty}}[/tex]
Step-by-step explanation:
If we have an equation ([tex]4d=txy[/tex]) and we want to solve for x, we want to reverse the equation until we have x on one side. Basically - what's stopping x from being alone?
The answer would be the t and the y that are being multiplied by x. So we can divide both sides by t and y to get our answer.
This is the same as dividing both sides by [tex]ty[/tex].
[tex]4d \div ty = txy \div ty[/tex]
[tex]\frac{4d}{ty}=x[/tex]
Hope this helped!
What is the factored form of the binomial expansion?
256x4 − 1,536x3y + 3,456x2y2 − 3,456xy3 + 1,296y4
(4x – 6y)3
(4x – 6y)4
(16x – 36y)3
(16x – 36y)4
The factored form of the binomial expansion of 256x4 − 1,536x3y + 3,456x2y2 − 3,456xy3 + 1,296y4 is (4x-6y)^4
Answer:
B
Step-by-step explanation:
For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 8. There were no ties, disqualifications, or withdrawals. If no team earned more than 10 points, what is the least possible score a team could have earned?
A) 0
B) 1
C) 2
D) 3
E) 4
Answer:
D. 3 Points
Step-by-step explanation:
Given
[tex]Members = 3[/tex]
[tex]Point = 9 - n[/tex]
[tex]1 \leq\ n \leq 8[/tex]
Required
Determine the least possible score
The least point a member of a team can get is when n = 8.
i.e.
[tex]Point = 9 - n[/tex]
[tex]Point = 9- 8[/tex]
[tex]Point = 1[/tex]
To get the least score, each of the 3 members must have 1 point each.
So:
[tex]Total = 3 * 1[/tex]
[tex]Total = 3[/tex]
Help!
Let f(x)= 7x² + 4x and g(x) = -9x -- 2. What function represents a new function, h(x), for which h(x)=(f+g)(x)
a. h(x)= -2x² + 2x
b. h(x) = 7x2 + 5x - 2
c. h(r)= -2x² + 4x - 2
d. h(x) = 7x- 5x - 2
Answer:
Option D
Step-by-step explanation:
h(x) = (f+g)(x) = f(x) + g(x)
= 7x² + 4x +(-9x-2)
= 7x² -5x -2
2 2/3 divided by 1 1/3
Answer:
2
Step-by-step explanation:
Answer:
It is 2
Step-by-step explanation:
I do not have a true explanation its just quick math to my brain.
55 in feet and inches
Answer:
1 foot 8 inches
Step-by-step explanation:
which are the possible size lengths of a triangle?
Answer:
All of those which summed are more that the third side, so the second is the only possible answer.
Step-by-step explanation:
4+8 = 12 which is greather than 10
Answer:
D
Step-by-step explanation:
you need to be able to add all the numbers up and divide by three. D is the only one that makes sense because 8+10=18 18+18=36 36/3=12
Which of the following equations have the same solution as 3x-5=5x×11
Answer:
-5=2x+11
Step-by-step explanation:
Y
The triangles shown below must be congruent.
True or false
Answer:
true
Step-by-step explanation:
they're not dilated in anyway.
Beth wants to paint the four walls of her rectangular bedroom. Her room is 10 feet wide, 13 feet long, and 8 feet high. She will not paint her rectangular door, which is 3 feet wide and 7 feet high. What is the total area of the walls that Beth needs to paint?
A. 347 square feet
B. 368 square feet
C.578 square feet
D. 1019 square feet
E. 1040 square feet
Answer:
D; 1019 square feet
Step-by-step explanation:
10 x 13 x 8 = 1040 square feet
3 x 7 = 21 square feet
1040 - 21 = 1019 square feet (:
Answer:
10x13 is 130
130x8 is 1040
Step-by-step explanation:
Simplify
(sec ∅ - 1)(sec ∅+ 1)
Answer:
[tex]tan^2(x)[/tex]
Step-by-step explanation:
[tex](sec(x)-1)(sec(x)+1)\\sec^2(x) - 1\\\frac{1}{cos^2(x)} -1\\\frac{1-cos^2(x)}{cos^2(x)} \\\frac{sin^2(x)}{cos^2(x)}\\ \\tan^2(x)[/tex]
Hey, I need help with a math question. thank you <3
Answer:
B
Step-by-step explanation:
ASAP!! If quadrilateral PQRS is a square, what are the coordinates of point E?
Answer:
E - (28, 25)
Hope this helps!
The 240 ninth-graders at a high school are divided into homeroom groups of 10 or 12 students. This equation models the
situation, where x represents the number of 10-student groups and y represents the number of 12-student groups:
10x +12y = 240.
? Question
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
The x-intercept is located at ( ,0).
The y-intercept is located at (0, )
The slope of the line represented by this equation is[ ]
Answer: The X intercept is located at (24,0) The Y intercept is located at (0,20)
The slope of the line represented by this equation is -5/6
Step-by-step explanation:
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
We have,
Equation:
10x + 12y = 240
This can be written in the slope-intercept form.
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
10x + 12y = 240
12y = 240 - 10x
12y = -10x + 240
y = (-10/12)x + 240/12
y = (-5/6)x + 20
Now,
The y-intercept is 20.
This is when x = 0.
And,
The x-intercept is when y = 0.
0 = (-5/6)x + 20
(5/6)x = 20
x = 4 x 6
x = 24
And,
The slope is (-5/6)
Thus,
The x-intercept is located at (24, 0).
The y-intercept is located at (0, 20)
The slope of the line represented by this equation is (-5/6).
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In the diagram, AC=BD. Show that AB=CD
9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
What is the median for the set of data?
Answer:
3.5
Step-by-step explanation:
9, 2, 1,5,9, 7, 1, 2, 2, 5, 6
rearrange
1, 1, 2, 2, 2, 5, 5, 6, 9, 9
2+5=7
7/2=3.5
Answer:
its either 3.5
Step-by-step explanation:
1, 1, 2, 2, 2, 5, 5, 6, 7, 9, 9 basically see which number is in the middle basically your adding the middle and then dividing by 2 and eureka...
Calculate the slope between the points: (4, -3) and (4,7)
a
m=-1.25
b
m=undefined
C
m=0.5
m=0
Answer:
B
Step-by-step explanation:
Slope = 10/0 = undefined
Which of the following is equal to 5/7-4/7 (a) 0 (b) 1 (c) undefined (d) 1/7
Answer:
It's 0.142857
Step-by-step explanation:
Answer:
your answer is d.1/7
Step-by-step explanation:
all you have to do is subtract 5-4 which is 1 then add 7 as the denominator