Answer:
it would be -90⁰ because its clockwise its the opposite direction
Solve using substitution and show your work:
-3x-3y=3
y=-5x-17
Answer:
Step-by-step explanation:
Isolate any variable, x or y, but since y has already been isolated, use y to solve for x.
Substitute y into the first equation -3x-3y=3
This equals -3x - 3 (-5x - 17) = 3
Distribute to get -3x + 15x + 51 = 3
Then bring like terms together. -3x + 15x = 3 - 51
12x = -48
Solve for x
x = -4
Substitute -4 for x in the equation: y = -5x - 17
y = − 5x − 17
y = (−5) (−4) − 17
y = 20 - 17
y = 3 ( Simplify both sides of the equation)
Answer:
x = − 4 and y = 3
The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find the z-score thay correspondes to a lifespan of 2470 hours. A. 2.5 B.1.5 C.-1.5 D-2.4
Answer: C.-1.5
Step-by-step explanation:
Given: The burning time of a very large candle is normally distributed with mean[tex](\mu)[/tex] of 2500 hours and standard deviation[tex](\sigma)[/tex] of 20 hours.
Let X be a random variable that represent the burning time of a very large candle.
Formula: [tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
For X = 2470
[tex]Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5[/tex]
So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5
Hence, the correct option is C.-1.5.
in an effort to improve a statistics course, we want to interview randomly chosen students about their attitudes toward the class. there are 800 students currently enrolled, and six instructors who teach sections of the course.
Stratified random sample would be the sampling design for the best information.
• In statistics, stratified sampling is an method of sampling from a population which can be divided into subpopulations. In surveys based on statistics, when subpopulation within an overall population var, it could be advantageous to sample each population separately.
• For example one may divide a sample of children into subgroups by age like 1-5,6-10,11-15 and above.
• The benefits of stratified sampling is that you can obtain reasonably precise estimate for subgroups related to the research.
• One disadvantage of stratified sampling is that the selection of appropriate strata for a sample of your research may be difficult.
• The effective use of stratified sampling can be Analysing 30% of the items under $30,000.
In this question we use stratified sampling.
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In their last game of the basketball season, Jessica has made 7 out of 10 shots so far, and Linda has made 12 out of 15 shots. As the coach, you must decide which player will shoot the final deciding shot for the game. (You want to choose the girl with the higher percent of shots made so far). What is the percent for each girl and which girl would you choose? * Your answer
Answer:
Linda
Step-by-step explanation:
8 1/4 divided by 3/8
Answer:
11over32
Step-by-step explanation:
(picture included) brainliest
Answer: 20
Step-by-step explanation:
Sara says, "If you subtract 11 from my number and multiply the difference by -5 , the result is -125 ." What is 's number?
Answer:
36
Step-by-step explanation:
x is the number
(x-11)(-5) = -125
x - 11 = 25
x = 25 + 11
x= 36
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............................................................................................
Does the table below represent a proportional relationship?
x 1 2 3 4
y -4 -8 -12 -16
A.
Yes, because all the ratios of y to x are equal to -2.
B.
No, because the table has negative numbers.
C.
Yes, because all the ratios of y to x are equal to -4.
D.
No, because the ratios of y to x are not equal.
Answer:
C
Step-by-step explanation:
Here, we want to know if the table represents a proportional relationship
Looking at the table, if we multiply the x-terms by -4, we get the y-terms
So the answer here is that Yes, because all the ratios of y to x are equal to -4
10000000000 in standard form
Answer: 10^10
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
y = __x + __
Answer: y= x-5
Step-by-step explanation:
It already gave you the y-intercept, which is on the y-axis. It is: (0,-5)
So your equation is: y = mx-5
Now you find your slope by using the two points it gives us: (0,-5) and (5,0)
-5 - 0= -5(from the two y- coordinates) and 0 - 5 = -5(from the two x-coordinates)
That is -5 divided by -5 so the answer would be 1
Your equation is: y = 1x-5
But you don't have to put the 1 because the x itself counts as 1
Brandon and his children went into a bakery and where they sell donuts for $1.25 each and cookies for $0.25 each. Brandon has $5.50 to spend and must buy a minimum of 10 donuts and cookies altogether. If Brandon decided to buy 2 cookies, determine the maximum number of donuts that he could buy. If there are no possible solutions, submit an empty answer.
Answer:he can buy four donuts
Step-by-step explanation:
He bought two cookies which is .50 cents
Subtract .50 cent from the total amount which is $5
Divide that by 1.25
I got 4
HELPPPPPPPP PLEASEEEEEEEE
You buy 80 of your favorite songs from a Web site that charges $0.99 for each song What is the cost of 80 songs?
Answer:
$79.20
Step-by-step explanation:
0.99 x 80 = 79.2
Hope this helps. (:
multiply (5x+2)(x-5)
need help please
Answer:
5x^2-25x+2x-10
5x^2-23x-10
Step-by-step explanation:
need thanks and make me brainiest if it helps you
Answer:
5x2 -35 +2x
Step-by-step explanation:
(5x+2)(x-5)
5x(x-5) +2(x-5)
5x2- 25 +2x -10
5x2 - 25 -10 +2x
5x2 -35 +2x
Solve for X. 20 points !!!!
Answer:
4) x = - 12
5) x = 4
Step-by-step explanation:
4)
Since points T and S are mid points of sides ML and MN of triangle MLN.
Therefore, by mid point theorem,
TS is half of LN
so,
[tex]x + 26 = \frac{1}{2} (x + 40) \\ \\ 2(x + 26) =x + 40 \\ \\ 2x + 52 = x + 40 \\ \\ 2x - x = 40 - 52 \\ \\ x = - 12[/tex]
5) In the same way x = 4 will be the correct answer in question number 5.
Andrea, Dina, and Lindsay invested in a partnership in the ratio of 79:14, respectively. Ten years later, their partnership was worth $1,800,000. Dina decided to move to Europe and sold her part of the partnership to Andrea a. How much did Andrea pay Dina for her share of the partnership? Round to the nearest dollar b . What percent of the business did Andrea own after she bought out Dina? Round to the nearest tenth of a percent.
The amount that Andrea pay Dina for her share of the partnership will be $810,000
The percent of the business did Andrea own after she bought out Dina will be 80%.
How to calculate the value?The amount that Andrea pay Dina for her share of the partnership will be:
= 9/(7 + 9 + 4) × $1800000
= 9/20 × $1,800,000
= $810,000
The percent of the business did Andrea own after she bought out Dina will be:
= (7 + 9)/20
= 16/20 × 100
= 80%
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Find the inverse of the following function: f(x)=√(2x +3) - 4
Determine the domain for which this inverse function will be defined. Write your answer as an inequality.
I have this question for GMM and I got the inverse right, but I don't know how to get the domain. I thought it was x<(or equal to) 3/2 but it says it's wrong
The domain of the inverse function in inequality is written as x ≥ √3 -4.
What is domain and range ?
The is the set of possible input values, and the range is the set of all possible output values of the graph.
Here, the given function is :
f(x) = √(2x +3) - 4
and it is already found that its inverse is :
f⁻¹(x) = {(x+4)² - 3}/ -2
Therefore, to find the domain of this inverse function we equate the numerator to greater then equals to zero that is :
(x+4)² - 3 ≥ 0
(x+4)² ≥ 3
(x+4) ≥ √3
x ≥ √3 -4
Therefore, the domain of the inverse function in inequality is written as x ≥ √3 -4.
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What are the coordinates of the point that is one half the distance between A(−3, −5) and B(2, 7)?
Enter your answer by filling in the boxes.
(_____ , ______)
Answer:
[tex](\frac{-1}{2},1)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
A (-3, -5)
B (2, 7)
Step 2: Find midpoint
Substitute: [tex](\frac{-3+2}{2},\frac{-5+7}{2})[/tex]Add: [tex](\frac{-1}{2},\frac{2}{2})[/tex]Divide: [tex](\frac{-1}{2},1)[/tex]Nick climbed a hill with an elevation of feet. Later that day, he returned home descending 700 feet. Jacob deposited his paycheck of $ . Later that week, he withdrew the same amount of $225 to buy a new TV. Janine was scuba diving and dove 25 feet to look at the fish on the coral reef. She then swam feet to the surface. The temperature started at -25 degrees. During the day, the temperature rose 5 degrees and then dropped 5 degrees. At the end of the day, the temperature was degrees.
Answer:
700, 225, 25, -25
Step-by-step explanation:
In the question given, we have to fill the blanks in the situations to describe an opposite quantities which combines to make zero.
1. Nick returned home descending 700 feet later at the day because he climbed a hill that was 700 feet high.
2. Jack deposited an amount of $225 in his account but later that week, he bought a new TV by withdrawing the amount of $225 from his account.
3. Janine dove into the sea to look at the coral reefs to a depth of 25 feet, and then she swam back to the sea surface by swimming 25 feet upwards.
4. The final temperature at the end of the day was -25 degrees, as the morning temperature was -25 degrees and then at daytime, it rose for 5 degrees and then again dropped by 5 degrees.
5x - 3x - (-1) = x-4
Answer:
x=-5
Step-by-step explanation:
Which equation represents a line which is parallel to the line 7y - 4x = -49
a) y= 7/4x+3
b) y= -7/4x+1
c) y=4/7x+7
d) y= -4/7x+4
From the option given, we can see that the equation that represents a line that is parallel to the line 7y - 4x = -49 is y=4/7x+7. Option D
The standard equation of a line is expressed as y = mx + b where
m is the slopeGiven the equation of a line expressed as 7y - 4x = -49
Make y the subject of the formula:
[tex]7y - 4x = -49\\7y=4x-49\\y=\frac{4}{7}x-\frac{49}{7}\\y= \frac{4}{7}x-7[/tex]
Hence the slope of the given line is 4/7
The equation parallel to this line will also have a slope of 4/6. Hence the correct option will be the equation with a slope of 4/7
From the option given, we can see that the equation that represents a line that is parallel to the line 7y - 4x = -49 is y=4/7x+7
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Please help!
How do you find the slope of this equation
y = 7x-3
Answer:
Step-by-step explanation:
H
Answer:
The slope is 7
Step-by-step explanation:
y = mx + b
m is the slope and as we can see in the equation, 7 is there instead of m, therefore 7 is the slope
A tree initially measured 3812 feet tall. Over the next 512 years, it grew to a final height of 4912 feet. During those 512 years, what was the average yearly growth rate of the height of the tree?
Answer:
2 feet per year
Step-by-step explanation:
I think you meant 38 1/2
and 5 1/2
but if you didn't then its
2.1484375
because
4912-3812=1100
1100÷512= 2.1484375
Eli wants to purchase some new school supplies. He wants to buy a calculator that costs $24 and some notebooks for school. Each notebook costs $2. Eli only has $37 to spend.
Let n represent the number of notebooks that Eli buys.
Which inequality describes this scenario?
37 Greater than or equal to 2n+24
37 < 2n+24
37 > 2n+24
37 Less than or equal to 2n+24
The inequality that models the scenario is the first one:
$24 + $2*n ≤ $37
Solving that we conclude that Eli can buy at most 6 notebooks.
Which inequality describes this scenario?
We know that Eli wants to buy a calculator that costs $24 and some notebooks, such that each notebook costs $2.
Then If Eli buys the calculator and n notebooks the total cost will be:
$24 + $2*n
We know that Eli has a total of $37 to spend, so that is the maximum amount he can spend. Thus, we can write the inequality:
$24 + $2*n ≤ $37
So the correct option is the first one.
Now also let's solve the inequality for n.
$24 + $2*n ≤ $37
$2*n ≤ $37 - $24
$2*n ≤ $13.
n ≤ $13/$2
n ≤ 6.5
So Eli can buy at most 6 notebooks.
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(x)(x⁷)(7x³) =
(15x⁶y²) (1/5 x3y3) =
(2c²d³/3c-²d-⁴) =
The result of the following questions are
[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]
Given,
We have to solve the questions using exponent rules
Part 1
[tex](x)(x^{7})(7x^{3})=7x^{1+7+3}\\=7x^{11}[/tex]
Part 2
[tex](15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3} )=\frac{15}{5} (x^{6+3}y^{2+3})\\ =3(x^{9}y^{5})[/tex]
Part 3
[tex]\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}{c^{2--2}d^{3--4}\\=\frac{2}{3}c^{4}d^{7}[/tex]
Hence, the result of the following questions are
[tex](x)(x^{7})(7x^{3})=7x^{11} \\(15x^{6}y^{2})(\frac{1}{5}x^{3}y^{3})=3x^{9}y^{5}\\\frac{2c^{2}d^{3} }{3c^{-2}d^{-4} }=\frac{2}{3}c^{4}d^{7}[/tex]
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If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.
If m< EBC = 3y+10 and m< ABE = 2y-20, the value of m< EBF is 56 degrees
How to solve for the angleThe questions says that If m< EBC = 3y+10 and m< ABE = 2y-20, find m< EBF.
We have to solve this using the rule of supplementary angles that says that
m<EBC + m<ABE = 180 degrees
This would be written as
3y+10 + 2y-20 = 180
collect like terms
3y + 2y + 10 - 20 = 180
5y - 10 = 180
5y = 180 + 10
5y = 190
then y = 190/5
y = 38 degrees
We have to put the value of y in 2y-20
= 2 * 38 - 20
= 76 - 20
= 56
Given that
m< ABE = m< EBF
Then the value of m< EBF = 56
12. we have < EBF = < ABE - < ABF
then 2b - (7b - 24)
when we open the bracket
< EBF = -5b + 24
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what is the multiplicative inverse of 10 raise to the power 10
Answer:
10*10*10*10*10*10*10*10*10*10
first person who awnsers gets brainlist
Please check the attached image for the answer. Hope this helps :)
What is 10,000, 000,000,000,000,000 x 38=?
Answer:
380000000000000000000
Step-by-step explanation: