Answer:
slope = -7/8
y-intercept = 8
Step-by-step explanation:
slope intercept form is
y = mx + b
m is slope
b is y-intercept
------------------------
f(x) = 8 - 7/8x
Rearrange into slope intercept form
f(x) = -7/8x + 8
slope = -7/8
y-intercept = 8
Answer:
Slope = -7/8
Y-intercept = 8
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
f(x) = 8-7/8x
Given the above, rearrange it in slope-intercept form to help us find the slope and y-intercept:
f(x) = -7/8x+8
Now, we can see clearly that -7/8 is in place of m and 8 is in place of b. This means that -7/8 is the slope of the line and 8 is the y-intercept.
I hope this helps!
please answer this , like ASAP
Answer:
let total be U and strawberry be S and.apple be A .
now
n[U]=200
n[S]=56% 0f 200=112
n[A]=44%of 200=88
n[A n S]=30%of 200=60
now
[tex] \bar {A U S}=?[/tex]
we have
n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]
[tex] \bar{A U S}[/tex]=200-112-88+60=60
option C. 60 is a required answer.
Hope this help!!!
Have a nice day!!!
What is the value of X?
Answer:
The answer is 46'
Step-by-step explanation:
The first triangle is:85'+53'+Y=180' so y=42'
The second triangle with X is:92+42'+X=180' so X=46'
Nori had 2 bags of apples. He used 1. bags of apples to make pies. How
many bags of apples does Nori have left?
Answer:
8/12 left
Step-by-step explanation:
8/12 of a bag left
2 1/12 = 25/12
1 5/12 = 17/12
25-17 = 8
The answer is 8/12
Answer:
1
Step-by-step explanation:
2 there are 2 and 1 Number before 2 is 1 so it one
Identify the: a) class width, b) class midpoints, and c) class boundaries for the given frequency distribution. Ages of Best Actors Age % 26-35 30 36-45 35 46-55 25 56-65 4 66-75 3 76-85 3
Answer:
Kindly check table below :
Step-by-step explanation:
Given :
Ages of Best Actors Age %
26-35 30
36-45 35
46-55 25
56-65 4
66-75 3
76-85 3
The class width = difference between the intervals = (35 - 26) = 10
Class midpoint = (sum of interval) / 2 = (26 + 35) / 2 = 61 / 2 = 30.5
The class boundaries :
Lower - 0.5 = 26 - 0.5 = 25.5
Upper + 0.5 = 35 + 0.5 = 35.5
Ages _ F ___Class Bound.__ classW__midpoint
26-35 _ 30 _ 25.5-35.5 ____ 10 _____ 30.5
36-45 _ 35 _ 35.5-45.5 ____ 10 _____ 40.5
46-55 _ 25 _ 45.5-55.5 ____ 10 _____ 50.5
56-65 _ 4 __ 55.5-65.5 ____ 10 _____ 60.5
66-75 _ 3 __ 65.5-75.5 _____10 _____ 70.5
76-85 _ 3 __ 75.5-85.5 _____ 10 _____ 80.5
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 4, 0), (-2, -5, 2), and (-2, 2, 1).
17 cubic units.
Step-by-step explanation:
The volume (V) of a parallelepiped with one vertex at the origin is given by the absolute value of the scalar vector product of the vectors at the adjacent vertices.
V = |(a x b) · c|
In this case,
a = (1,4,0) = i + 4k + 0j
b = (-2,-5,2) = -2i -5j + 2k
c = (-2,2,1) = -2i + 2j + k
First, let's calculate the cross product of vectors a and b. i.e a x b as follows:
(i) Arrange the vectors in a matrix form
a x b = | i j k |
| 1 4 0 |
| -2 -5 2 |
(ii) Calculate the determinant of the matrix
a x b = i(8 - 0) -j(2-0) + k(-5+8)
a x b = i(8) -j(2) + k(3)
a x b = 8i - 2j + 3k
Secondly, calculate the scalar product of the cross product found above and the vector c as follows;
(a x b) . c = (8i - 2j + 3k) · (-2i + 2j + k)
Multiply like terms
(a x b) . c = (8 * -2)(i.i) + (-2 * 2)(j.j) + (3 * 1)(k.k) [i.i = j.j = k.k = 1]
(a x b) . c = (-16) + (-4) + (3)
(a x b) . c = -16 - 4 + 3
(a x b) . c = -17
Thirdly, find the absolute value of the result found above. i.e
|(a x b) . c| = |-17|
|(a x b) . c| = 17
Therefore, the volume of the parallelepiped is 17 cubic units.
The rule as a mapping for the translation of a rectangle is (x, y) = (x - 2, y + 7). Which describes this translation?
O a translation of 2 units down and 7 units to the right
O a translation
of 2 units down and 7 units to the left
O a translation of 2 units to the right and 7 units up
O a translation of 2 units to the left and 7 units up
Mark this and retum
Answer:
a translation of 2 units to the left and 7 units up
Step-by-step explanation:
Translation of points (x,y)
At point x, the function can be translated to the left or to the right.
(x-a) is the translation of the point a units to the left, and (x+a) is the translation of the point a units to the right.
At point x, the function can be translated up or down. y+a represents a shift of a units up, and y-a represents a shift of a units down.
(x, y) = (x - 2, y + 7)
x - 2: 2 units to the left.
y + 7: 7 units up
So the fouth option is correct.
x+y=13
2x-y=5
solve using any method
Answer:
x = 6 , y = 7
Step-by-step explanation:
solving by substitution method
x + y = 13
x = 13 - y equation (i)
2x - y = 5
substitute the value of x
2(13 - y) - y = 5
26 - 2y - y = 5
26 - 3y = 5
26 - 5 = 3y
21/3 = y
7 = y
substitute the value of y in equation (i)
x = 13 - y
x = 13 - 7
x = 6
HELP HELPP PLS QUICK
Customers at a restaurant can build their own burrito by choosing one item from each category shown in the table.
Answer:
E
Step-by-step explanation:
Beans: 2 possibilities
Meat: 3 possibilities
Vegetables: 4 posibilities
Toppings: 4 possibilities
Then mulltiply the numbers:
2 x 3 x 4 x 4 which equals 96
If g(x)=x2 - 5 and 1(x)=7x-11, then what is the value of h(g(3)) ?
Answer:
The value of h(g(3)) is 17.
Step-by-step explanation:
We are given these following functions:
[tex]g(x) = x^2 - 5[/tex]
[tex]h(x) = 7x - 11[/tex]
h(g(3)) ?
[tex]h(g(x)) = h(x^2-5) = 7(x^2-5) - 11 = 7x^2 - 35 - 11 = 7x^2 - 46[/tex]
At x = 3
[tex]h(g(3)) = 7(3)^2 - 46 = 63 - 46 = 17[/tex].
The value of h(g(3)) is 17.
You get a $600 bonus from work and want to share with your two kids. How much money will each of the three of you get if you split it evenly?
Answer:
$200 each.
Step-by-step explanation:
You are sharing the $600 bonus with 2 of your kids, meaning that the money will be evenly divided between 3 people. Divide the total amount of money with the total amount of people:
$600/3 persons = $200/person
Each person obtains $200.
~
example of expressions to represent length and width
Answer:
lxwxh
Step-by-step explanation:
Length x width x height
How many rows of seats are needed to seat 673 people at a concert when the rows seat 37 people each?
Answer:
18.189 rows
Step-by-step explanation:
673 / 37 = 18.189189189
Hope this helps!
How much would nick have over the span of 20 years if he put $1000 in his savings account with 10% of simple interest
Step-by-step explanation:
use the simple interest formula
Parameterize the curve of intersection of the surfaces so that the direction is clockwise when viewed from above. Include a sketch of each surface and the curve. x + z = 1 and 2 = 4 - x2 - y2
Answer:
Answer is attached in images
Step-by-step explanation:
Given:
x+z=1 and
[tex]z=4-x^{2} -y^{2}[/tex]
Now,
[tex]1-x=4-x^{2} 2-y^{2} 2\\x^{2} -x+y^{2} \\x^{2} -x+1/4+y^{2} =3\\(x-1/2)^{2} +y^{2} =3+1/4\\(x-1/2)^{2} +y^{2} =(\sqrt(13)/2)^{2}[/tex]
Which is circle with center (1/2,0) radius
[tex]\sqrt{13/2}[/tex] take, [tex]x=1/2+\sqrt{3} /2 cos\alpha \\y=\sqrt{13}/2 sin\alpha 0\leq \alpha \leq 2\pi[/tex]
Now,
Sam asks five of his friends in his accelerated ELA class.
He finds that the average number of books read for this sample was 6.
Give two reasons why this sample might not be representative of the population that Sam is
trying to study
Answer:
1) Sam only interviewed five people out of his entire ELA class, so he doesn't have a very wide demographic to study
2) All of these people were Sam's friends, so they might all have similar interests or only enjoy certain things, and that doesn't allow for a wide range of data collection
Question 2 (Essay Worth 10 points)
(02.03, 02.05 MC)
The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average
test score in your science class, where x is the number of the test taken.
x g(x)
1 81
2 83
3 85
Part A: Determine the test average for your math class after completing test 2. (2 points)
Part B: Determine the test average for your science class after the completing test 2. (2 points)
Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)
Answer:
(a) [tex]f(2) = 81[/tex]
(b) [tex]g(2) = 83[/tex]
(c) Test average for maths class after test 2 is greater
Step-by-step explanation:
Given
[tex]f(x) = 0.5x + 80[/tex]
[tex]x \to g(x)[/tex]
[tex]1 \to 81[/tex]
[tex]2 \to 83[/tex]
[tex]3 \to 85[/tex]
Solving (a): f(2)
We have:
[tex]f(x) = 0.5x + 80[/tex]
[tex]f(2) = 0.5*2+80[/tex]
[tex]f(2) = 1 + 80[/tex]
[tex]f(2) = 81[/tex]
Solving (b): g(2)
From the table:
[tex]g(x) = 83[/tex] when [tex]x = 2[/tex]
So:
[tex]g(2) = 83[/tex]
Solving (c): Which is greater f(2) or g(2)
In (a) and (b),
[tex]f(2) = 81[/tex]
[tex]g(2) = 83[/tex]
Hence, test average for maths class is greater
A person must score in the upper of the population on an IQ test to qualify for membership in Mensa, the international high-IQ society. If IQ scores are normally distributed with a mean of and a standard deviation of , what score must a person have to qualify for Mensa (to whole number)
Answer:
The person must score at least [tex]X = \mu + Z\sigma[/tex], in which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score, [tex]\mu[/tex] is the mean IQ score for the population and [tex]\sigma[/tex] is the standard deviation.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
In this question:
Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex]
What score must a person have to qualify for Mensa?
Score of at least X, given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]X - \mu = Z\sigma[/tex]
[tex]X = \mu + Z\sigma[/tex]
In which Z has a p-value of [tex]1 - \frac{p}{100}[/tex], considering p the upper percentage the person must score.
how do you find the rate of change for a function over a given interval
Step-by-step explanation:
Differentiate it. You will be given a value of x. Substitute into the differentiated equation use the formula for rate of change. You will find the answerFormula:
[tex]\frac{\alpha y}{\alpha x} =\frac{dy}{dx }[/tex]
How would write 0.5, 0.65, 2.35, and 1.06 in expanded forms
Answer:
0 + 0.5, 0 + 0.6 + 0.05, 2 + 0.3 + 0.05, 1 + 0.06
Step-by-step explanation:
expanded form is just taking the number apart from ones to tenths to hundreds and so on, or from ones to tens to hundreds and then so on. then you just split it and put the numbers in added form.
Does anyone know the answer?
Answer:
lx-3l
Step-by-step explanation:
negative in the abs means moving to the right
=========================================================
Explanation:
We start with the parent function y = |x|
Shifting it 3 units to the right will make the equation y = |x-3| and that's the equation of the green curve shown.
The x-3 is because each input is 3 units smaller than it used to be. Imagine the xy axis moved 3 units to the left while the V shaped graph stayed fixed in place. It would give the illusion the V shape moved while the xy axis stay fixed.
The graph doesn't shift up or down, so k = 0
The value of 'a' stays the same at a = 1.
i need help, this is for a final
Step-by-step explanation:
Since the two triangles are similar
Then the ratio of sides are equal
Then MK:ML =JH:JI
Sub in this and you will get x =64.1
Help with number 4 I'm stuck on this algebra test with my kid and neither of us understand it
Answer:
a) x = 4
b) x = 8
c) y = -7
d) y = -10
Step-by-step explanation:
Solve by substitution on all
a)
3x + 2y = -5
3x +2 * -17/2 = -5
3x - 17 = -5
3x = -5+17
3x = 12
x = 12/3
x = 4
if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240
Answer:
C. b²< 40
Step-by-step explanation:
2x²+ bx + 5=0 has no real solutions
=> D< 0
b² < 4ac
b²< 4(2)(5)
b²< 40
A store donated a percent of every sale to charity The total sales were $9,850 so the store donated $591. What percent of $9,850 was donated?
I need the answer asap!
Answer:
Well, 10% of 6640 is $664, and $332 is half of that, so 5%
Missing: $9850 $591.
Step-by-step explanation:
Answer:
espero ayudarte ..............
Which fraction is represented by point A on the number line?
0
А
-0 -1
о
IT
os
O 1
Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days. In how many days can
all three of them achieve the sales target together?
Answer:all three of them achieve the sales target together in 120 days.
Step-by-step explanation:
Given: Adam and Paul an achieve the sales target of the company in 30 days, Paul and Charles In 40 days while Charles and Adam In 60 days.
Then, the number of days taken by all of them to achieve the sales target together = [tex]\dfrac1{30}+\dfrac{1}{40}+\dfrac{1}{60}[/tex]
[tex]=\dfrac{1}{120}[/tex] [LCM(30,40,60)=120]
Thus, all three of them achieve the sales target together in 120 days.
Andy is comparing how long two tablets can be used after being fully charged.
-
Tablet A Tablet B
(minutes) (minutes)
540
593
Mean
Median
580
589
NOR
21
13
MAD
6
2
Answer:
Part A: On average Tablet B's battery will last longer.
Part B: The MAD is lower in tablet B's battery life so Tablet B is more consistent.
Step-by-step explanation:
Deandra traded $2800 for Swiss francs, immediately changed her mind, and
then promptly traded her Swiss francs back into dollars. Which of these
amounts is she most likely to have?
A. More than $0 but less than $2800
B. $0
C. $2800
D. More than $2800
SUBMIT
Answer:
A
Step-by-step explanation:
More than $0 but less than $2800
The correct option is (A).
What is data?Data is referred to as a collection of information gathered by observations, measurements, research, or analysis. It may comprise facts, figures, numbers, names, or even general descriptions of things. Data can be organized in the form of graphs, charts, or tables for ease in our study. Data scientists help in analyzing the collected data through data mining.
Given:
Deandra traded $2800 for Swiss francs.
So, she would have More than $0 but less than $2800.
This is because she will not get the same amount back she has only has more than 0 and less than 2800.
Learn more about data here:
https://brainly.com/question/10980404
#SPJ2
Which of the following is most likely the next step in the series?
Answer:
B
Step-by-step explanation:
Hi there!
TL;DR: Observe the vertices of the shapes inside the circles and their relationship with the circle.
For the first figure, the rectangle has 4 vertices and there are 4 dots on the perimeter of the circle.
For the second figure, the triangle has 3 vertices and there are 3 dots on the perimeter of the circle.
For the third figure, the line has 2 points and there are 2 dots on the perimeter of the circle.
For the fourth figure, there would most likely be only one dot on the perimeter of the circle (4, 3, 2, 1). The only option that shows this is B.
I hope this helps!
