Answer:
[tex]d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 3)
Point (5, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract: [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents: [tex]d = \sqrt{16+36}[/tex]Add: [tex]d = \sqrt{52}[/tex]Simplify: [tex]d = 2\sqrt{13}[/tex]What is 2 divided by 1/7
Answer:
The answer is 14
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
Complete the multiplication and the equation becomes
The two fractions now have like denominators so you can add the numerators.
there....
The solution of the expression ''2 divided by 1/7'' is 14.
Used the concept of the divide that states,
The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.
Given that,
2 divided by 1/7
Now it can be written as,
2 divided by 1/7
[tex]2 \div \dfrac{1}{7}[/tex]
[tex]2 \times 7[/tex]
[tex]14[/tex]
Therefore, the solution of the expression is 14.
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Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16
What is the slope of the function f(x) = 6x + 10 *
1
10
6
16
Other:
Answer:
6
Step-by-step explanation:
6 is the slope of the function
The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a rate of 3 cm/sec. When l=5 cm and w=12 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
a) The rate of changes of the area of the rectangle is _______ cm^2/sec
Is the area increasing, decreasing, or constant?
b) The rate of change of the perimeter of the rectangle is ____ cm/sec.
Is the perimeter increasing, decreasing, or constant?
c) The rate of change of the length of the diagonals of the rectangle is ____ cm/sec.
Is the length of the diagonals increasing, decreasing, or constant.
Answer:
1) dA/dt = -21 cm²/s and Area is decreasing
2)dP/dt = 0 and perimeter is constant
3) dD/dt = 21/13 cm/s and diagonal is increasing
Step-by-step explanation:
We are given that;
length l of a rectangle is decreasing at a rate of 3 cm/sec.
Thus, dl/dt = -3 cm/sec
Also, the width w is increasing at a rate of 3 cm/sec. Thus;
dw/dt = 3 cm/sec
When l=5 cm and w=12 cm;
A) Area is given by the formula;
A = lw
The rate at which area is increasing is;
dA/dt = l(dw/dt) + w(dl/dt)
Plugging in the relevant values;
dA/dt = 5(3) + 12(-3)
dA/dt = 15 - 36
dA/dt = -21 cm²/s
This is less than 0.thus, A is decreasing.
B) Formula for perimeter is;
P = 2l + 2w
rate of change of perimeter is;
dP/dt = 2(dw/dt) + 2(dl/dt)
Plugging in the relevant values, we have;
dP/dt = 2(-3) + 2(3)
dP/dt = 0
Thus,Perimeter is constant
C) the length of the diagonal of a rectangle is given by;
D = √(w² + l²)
Rate of change of diagonal is;
dD/dt = [2w(dw/dt) + 2l(dl/dt)]/(2√(w² + l²))
2 will cancel out in numerator and denominator to give;
dD/dt = [w(dw/dt) + l(dl/dt)]/(√(w² + l²))
Plugging in the relevant values gives;
dD/dt = [12(3) + 5(-3)]/(√(12² + 5²))
dD/dt = (36 - 15)/13
dD/dt = 21/13 cm/s
This is greater than 0.
Thus, diagonal is increasing.
find the slope of the line that contains (-2,-2) and (-10,-9)
Answer:
[tex] \huge \frac{7}{8} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]
We have the final answer as
[tex] \frac{7}{8} \\ [/tex]
Hope this helps you
Answer:
7/8
Step-by-step explanation:
A customer at a store paid $96 for 5 large candles and 7 small candles. At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies Write a system that could be used find the price in dollars of each large candle, x, and each small candle, Y
Answer:
The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:
5x + 7y = 96...... Equation 1
4x + 8y = 88..... Equation 2
Step-by-step explanation:
From the question:
Let cost of:
large candles = x
Small candles = y
A customer at a store paid $96 for 5 large candles and 7 small candles.
Hence:
5x + 7y = 96...... Equation 1
At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies
Hence:
4x + 8y = $96 - $8
4x + 8y = 88..... Equation 2
The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:
5x + 7y = 96...... Equation 1
4x + 8y = 88..... Equation 2
I need help on this
Solve the system by graphing 3x+y=4 and x-y=4
multiple of 3 and 5 less than 47 but greater than 42....
Answer:
45
Step-by-step explanation:
45 > 42 but < 47 and it's a multiple of 3 and 5
A card is randomly selected out of a standard 52 deck of cards. What is the probability of selecting a queen or a
heart?
Leave your answer as a fraction in lowest terms
what is the midpoint of the segment shown below ?
please help me thanks
If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance, what are the alternative hypothesis and rejection region?
Answer:
The alternative hypothesis is
[tex]H_a : p_1 \ne \ p_2[/tex]
The rejection region is the region outside the interval
[tex]-1.96 < z_{critical} < 1.96[/tex]
Step-by-step explanation:
From the question we are told that
The significance level is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : p_1 = p_2[/tex]
The alternative hypothesis is [tex]H_a : p_1 \ne \ p_2[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Hence the rejection region is the region outside the interval [tex]-1.96 < z_{critical} < 1.96[/tex]
The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex] .
And the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .
Given that,
If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance.
We have to determine,
What is the alternative hypothesis and rejection region?
According to the question,
The significance level is, [tex]\alpha = 5 \ percent = 0.05[/tex]
The null hypothesis is [tex]H_0 ; P_1 = P_2[/tex]
The alternative hypothesis is, [tex]H _a; \ P_1\neq P_2[/tex]
In the normal distribution table, the critical value [tex]\dfrac{\alpha}{2}[/tex] is,
[tex]Z _\frac{\alpha}{2} = 1.96[/tex]
Hence, the rejection region is the region outside the interval is [tex]-1.96< Z_c_r_i_t_i_c_a_l <1.96[/tex] .
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If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
volume=------------cm^3
Answer:
8586.7cm^3
Step-by-step explanation:
We can denote the side of the base square as "x" in cm
We can also denote the height as "y" in cm
(x^2 * y) = V(x,y)
The surface area can be written as
(x^2 + 4xy = 2000)
We can make "y" as subject of the formula
4xy = 2000 - x^2
y=( 2000 - x^2)/ 4x----------eqn(*)
Substitute "y" into V(x,y)
(x*y)= x^2 * (2000-x^2)/4x = V(x)
We can divide the numerator by the denominator
y= x^2 (500/x - x/4)----------eqn#)
We can take the derivatives
V'(x)= 500 - 3/4x^2
If we set V'(x)=0 we have
500=3/4x^2
2000=3x^2
x^2=666.7
x=√666.7
x=25.8cm
From eqn(*)
y=( 2000 - x^2)/ 4x
y=(2000 - 25.8^2)/(4×25.8)
y=12.9cm
(x^2 * y) = V(x,y)
25.8^2 × 12.9
V(x,y)= 8586.7cm^3
Hence find the largest possible volume of the box is 8586.7cm^3
Can u help me plz fast
Answer:
the answer is smallest to biggest
Step-by-step explanation:
A used automobile dealership recently reduced the price of a used compact car by 10%. If the price of the car before discount was $18,100, find the discount and the new price.
Answer:
The discounted price would be 16290 as 18100 times 10 over 100 is 1810 so subtract that from 18100 and you get 16290
Step-by-step explanation:
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PLEASE HELP ME
RALPH DID 165 jumping jacks last week. He did 237 jumping jacks this week. how many jumping jacks (j) did ralph do over these two weeks? write an equation then solve.
Answer: 402
Step-by-step explanation:
165 + 237 = j
Answer:
165+237= 402
Step-by-step explanation:
in one week he did 165 and in the second week he did 237, so you add them together to get the total.
equation: j= 165 + 237
Lisa has scored 24, 21, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average
(mean) is 21 points per game?
Explanation
Check
She needs to score AT LEAST 19 points
Step-by-step explanation:
24 + 21 + 20 + 19 = 84
84 ÷ 2 = 21
how many times does 12 go into 60?
Answer:
5 times
Step-by-step explanation:
Write an integer for: A bank deposit of $175
Answer:
175
Step-by-step explanation:
A deposit is adding money to the bank, so the integer will be positive.
That makes our integer: 175
The population of Whoville is given by the LaTeX: y=56,000\left(1.03\right)^xy = 56 , 000 ( 1.03 ) xwhere x is the years since 2010.
a) What was the population in 2010?
b) What is the population in 2020?
c) When will the population reach 100,000?
Answer:
Step-by-step explanation:
(a) 56000*1.03^0 = 56000
(b) 56000*1.03^10 = 75259
(c) 56000*1.03^x = 100000
1.03^x = 1.7857
x = 19.6
So that will happen in the 2nd half of 2029
Use the order of operations to simplify 8.6 - 4.2+ 3/10
Answer:
4.7
Step-by-step explanation:
Answer:
if you are on the exam on A PE X, the answer is 9/10
Step-by-step explanation:
hope this helps!!
:)
A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?
please help me asap, i was absent the day we learned this and haven't been able to pick it up
Answer:
Your dead meat then...
Step-by-step explanation:
But I’m pretty sure its b?
sorry if it’s wrong
Answer:
the answer is c took this before
I AM WILLING TO PAY IF YOU HELP ME WITH MY ASSIGNMENT! Pls dm me if you know how to do this and have paypal
Answer:
55860
Step-by-step explanation:
This way super dupper easy
Answer:
V is approximately 11.81
Step-by-step explanation:
We use the sine rule
V/sin 98 = 10/sin 57
Cross multiply
V * sin 57 = 9.90268068
V = 9.90268068/sin 57
V= 11.80759295
V ~ 11.81
A rectangular pool has a perimeter of 72 feet. The equation below shows
the relationship between the length, L, and the width, W, of the pool.
2L + 2W = 72
The width, W, of the pool is 12 feet. What is the length, L, of the pool?
A. 25 feet
B. 24 feet
C. 22 feet
D. 12 feet
Answer:
2L + 24 = 72
2L = 72-24
L = 48 ÷ 2
= 24 feet
Help me please i beed this now
Answer:
well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.
I need help for math plz :(
Answer:
Option D
Step-by-step explanation:
Set of data in terms of ordered pairs represents a function when output value of each input value is different.
Option A
Since, for every value of x there is a different value of y, it's a function.
Option B
In each ordered pair, for every value of x there is a different value of y.
Therefore, it's a function.
Option C
From the given graph, for every value of x there is a different value of y.
Therefore, it's a function.
Option D
From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).
Therefore, the given set of ordered pairs doesn't represent a function.
Option D is the answer.
part two thinking a number between 1 and 10 but doble the money!
how did you get that answer tho I gotta show my work