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Comparing the distances AB and A'B ', we notice that AB = 3 and A'B' '= 9.
We can say that:
AB · X = A'B'
3 · X = 9
3X = 9
X = 9 ÷ 3
X = 3
Thus, figure B is 3x larger than figure A
scale factor = 3x larger
Answer:
x=3
Step-by-step explanation:
AB = 3 and A'B' '= 9.
hope this helps
Grace read 9 books in 3 months what was her rate of reading Books per month
Answer:
3 books per month
Step-by-step explanation:
9 books ÷ 3 months = 3 books per month :)
12(a−4) simplified I am confused with this question
Answer:
-48
Step-by-step explanation:
Last year, Mrs. Sclair's annual salary was $88,441. This year she
received a raise and now earns $96,402 annually. She is paid weekly.
a. What was her weekly salary last year?
b. What is Mrs. Sclair's weekly salary this year?
c. On a weekly basis, how much more does Mrs. Sclair earn as a result
of her raise?
Answer:
A. she made $1,694.92 weekly last year
B.she makes $1,847.49 weekly this year
C. she makes $152.57 more weekly this year than ast year.
Step-by-step explanation:
a ) Her weekly salary last year is $1842
b ) Mrs Sinclair's weekly salary this year is $2008.375
c ) On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
What is the salary?The amount of money paid by any company to their employees on a weekly or monthly basis is called a salary.
Given that:
Last year, Mrs Sclair's annual salary was $88,441. This year sheReceived a raise and now earn $96,402 annually.a ) Her weekly salary last year is $1842
Annual salary = $88441
Weekly salary = 88441 / 48 = $1842
b ) Mrs Sinclair's weekly salary this year is $2008.375
Annual salary = $ 96,402
Weekly salary = 96,402 / 48 = $2008.137
c ) On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
= 2008.137 - 1842
= $158.37
Therefore Her weekly salary last year is $1842, Mrs Sinclair's weekly salary this year is $2008.375, On a weekly basis, Mrs Sclair's earn as a result of her raise is $158.37
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PLEASE HELP!!! i’ve been stuck on this for so long!!!
Determine the number of terms in the geometric series 2+8+32+...+2048
Answer:
6 terms
Step-by-step explanation:
we have
[tex]2+8+32+..+2048[/tex]
we need to identify a pattern so
from 2 to 8 what could have happened?
well you could have added 6 and get 8
so that means that to 8 you have to add 6 and get 32
WRONG
so adding is not an option
what else could have happened?
well you could have multiplied by 4 and get 8
so that means that to 8 you have to multiply by 4 and get 32
which is true
so the geometric series is
[tex]2+4(2)+4(4(2))+4(4(4(2)))+...+[/tex] what?
you can see that in the 2nd term we have 1 four, in the 3rd we have 2 fours
so we can conclude in the nth term we have n-1 fours
so the formula is
[tex]2+8+32+...+4^{n-1} *2[/tex]
so we need to determine when
[tex]4^{n-1}*2=2048[/tex]
[tex]4^{n-1}*2*\frac{1}{2} =2048*\frac{1}{2} \\\\4^{n-1}=1024[/tex]
if we factorize 4 as [tex]2^2[/tex] and 1024 as [tex]2^{10}[/tex]
we have
[tex](2^2)^{n-1}=2^{10}\\\\2^{2(n-1)}=2^{10}\\\\2^{2n-2}=2^{10}[/tex]
so we see that the bases are equal, that must mean the exponents are equal
[tex]2n-2=10\\\\2n=10+2\\\\2n=12\\\\n=6[/tex]
so there are 6 terms
The point A (-10,-5) has undergone the transformation T3, -1. Which point is the preimage of A?
a. (-13, -6)
b. (-13, 4)
C. (-7,-6)
d. (-7, 4)
EA-2
Answer:
C. (-7, -6)
Step-by-step explanation:
-10+3=-7
-5+(-1)= -5-1= -6
Review the graph of function h(x). Which point is on the graph of the inverse function h–1(x)?
A. (2, 4)
B. (0, one-half)
C. (0, 1)
D. (–5, 1)
Answer:
C
Step-by-step explanation:
Point (0, 1) is on the graph of the inverse function h⁻¹(x).
What is an Inverse Function?If f(x) is an original function with output y, then we can get inverse of the original function by putting y in the inverse function to obtain x.The domain of original function becomes the range of its inverse function and the range of the original function becomes the domain of its inverse function.Given: The graph of function y = h(x).
According to the graph, the function is a straight line:
y-intercept is (c) = 2
Consider two points on the graph, y = h(x).
Let (x₁, y₁) = (0, 2) and (x₂, y₂) = (2, -2).
Now, the slope (m) of the function will be calculated as:
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (-2 - 2) / (2 - 0)
⇒ m = -2
Now, with c = 2 and m = -2 the equation of a given line will be calculated as:
The general equation of line is:
⇒ y = mx + c
⇒ y = -2x + 2
∴ y = h(x) = -2x + 2 is the given equation of line.
Now to find the h⁻¹(x), we have to interchange the values of x and y from the function h(x) and then obtain the relation for the general equation of line.
h⁻¹(x) will be calculated as:
⇒ x = -2y + 2
⇒ x - 2 = -2y
⇒ y = (2 - x)/2
∴ y = h⁻¹(x) = (2 - x)/2
Now, we will find which point is on the graph of h⁻¹(x).
Option (A): (2, 4)
put, x = 2 in the equation y = (2 - x)/2
⇒ y = 0
⇒ (2, 0) ≠ (2, 4)
∴ (2, 4) is not the point on h⁻¹(x).
Option (B): (0, 1/2)
put x = 0 in the equation y = (2 - x)/2
⇒ y = 1
⇒ (0, 1) ≠ (0, 1/2)
∴ (0, 1/2) is not the point on h⁻¹(x).
Option (C): (0, 1)
put x = 0 in the equation y = (2 - x)/2
⇒ y = 1
⇒ (0, 1) = (0, 1)
∴ (0, 1) is the point on h⁻¹(x).
Option (D): (–5, 1)
put x = -5 in the equation y = (2 - x)/2
⇒ y = 3.5
⇒ (-5, 3.5) ≠ (–5, 1)
∴ (–5, 1) is not the point on h⁻¹(x).
Therefore, the point on the graph of the inverse function of h⁻¹(x) is (0, 1).
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If 20% of a number is 720 what is the 50% of that same number
Answer:
1,800
Step-by-step explanation:
Find the coordinates
of A' given a dilation
of 2
A(3,-6), B(0,9), C(2,-1)
3x + 1/2y = 3 and 6x - y = 2 (use elimination with multiplication to solve)
Answer:
i prefer substitution methon for this one
i really prefer try using thatThe measure of the supplement of an angle is twice the measure of the angle. What is the measure of each angle?
Answer:
120° and 60°
Step-by-step explanation:
Suplementary angles sum 180°
then:
a + b = 180°
b = 2a
then:
a + 2a = 180°
3a = 180°
a = 180/3
a = 60°
b = 2a
b = 2*60
b = 120°
Check:
120° + 60° = 180°
Simplify this algebraic expression.
z-4/4+8
Answer:
z+7
Step-by-step explanation:
use PEMDAS!
1. divide 4/4, which is 1. (z-1+8)
2. combine like terms! -1 and 8 are like terms, so add them together. (z+7)
3. after that, you have the answer!! z+7!!
PLS HELP! THIS IS DUE IN 30 MINUTES!! I'LL GIVE BRAINLIEST AND 60 POINTS IN TOTAL IF U GET BRAINLIEST.
Answer:
Perimeter: 14a+2b
Tickets:7x+6
Step-by-step explanation:
Perimeter: Add all the functions together
Tickets: Subtract 15x+1 by 8x-5.
Which numbers are irrational?
a. 11
b. Square root of 15
C. -14
d. 5/7
e. 9/4
f. 0.151155111555....
Answer:
the answer is b and f I believe
Solve for u.
M=1/6uh
Multiply both sides by 6:
6M = uh
Then divide both sides by h:
u = (6M)/h
What is the missing steph in solving the inequality 5 - 8x < 2x + 3
Answer:
x > 1/5
Step-by-step explanation:
5 - 8x < 2x + 3
-8x < 2x -2
-8x -2x < -2
-10x < -2
x > 1/5
help?? Thank u if you do help btw!
Answer:
10,000lbs
Step-by-step explanation:
There are 2000lbs in 1 ton
So
5 x 2000 = 10000lbs
Answer:
10,000 pounds is the the correct answer
Subtract – 7x + 6 from – 2x^2 + 9x-2
Answer:-2x^2+16x-8
Step-by-step explanation:
the other person subtracted backwards ♀️
Which of the following lines is parallel to x = 7? (2 points)
a. 3y = 7
b. y = 7
c. X = y
d. X = 4
24
Let f(x) = 3x - 2. Find f(-2). (1 point)
O 1) -6
2) -3
3) 3
4) 6
Answer:
f(-2) = - 8Step-by-step explanation:
f(x) = 3x - 2
In order to find f(-2) , substitute the value of x that's - 2 into f (x) that is for every x in f (x) replace it with - 2
So we have
f(-2) = 3(-2) - 2
= - 6 - 2
We have the final answer as
f(-2) = - 8Hope this helps you
Pleaseee help !!
If the temperature is predicted to be -1°F, but could be 10 degrees colder, what is the least
possible temperature?
А
-11°F
B
-6°F
с
-1°F
D
9°F
Answer:
-11°F
Step-by-step explanation:
when it is cold temperatures lower
-1°F-10°F= -11°F
Please I need help !!
Which of these is an action by a person who chooses immediate spending over
saving?
Taking the bus
Opening a savings account
Financing a brand-new car
O Setting 10 percent of each paycheck aside
Answer:
C. Financing a brand new Car
Step-by-step explanation:
Financing a brand new car means that someone takes out a car loan that has to be paid over time, and that is something a spender would do because they are not saving money
Does the number 404,500 have 6 significant figures?
Answer:
It has 4 significant figures, not 6
Step-by-step explanation:
4045 are the significant figures here
Answer:
4
Step-by-step explanation:
well cause it four numbers so i dont think its six
List all the sets that the number -6 belongs to.
Answer:
Integers
Step-by-step explanation:
3. Write the number below in standard form: (3.N
one hundred three thousand, forty-seven
Answer:
103,047
I hope this helped.
Answer:
103,047
Step-by-step explanation:
good luck with any other questions
Use the expression you wrote to predict the number of dreams that include people you know out of 28
Answer:
the number of dreams that include people you know out of 28 is 21
Step-by-step explanation:
Here is the complete question:
It is believed that about [tex]\frac{3}{4}[/tex] of our dreams involve people that we know.
So the expression to describe the number of dreams that feature people you know if you have "d" dreams is:
[tex]\frac{3}{4} d[/tex]
Now using the above expression we can predict number of dreams that include people you know out of 28. Here 28 represents number of dreams i.e. "d". So expression becomes:
[tex]\frac{3}{4} (28)[/tex]
Now simplify the above expression:
[tex]\frac{3}{4} (28)[/tex] = [tex]\frac{3*28}{4}[/tex] = [tex]\frac{84}{4}[/tex] = [tex]21[/tex]
Hence the number of dreams that include people you know out of 28 is 21
Could someone please solve this and explain their answer? 2x+39<9
Step-by-step explanation:
i hope you understood....
What is the domain of the relation given by the ordered pairs?
(2,-1), (-4, 1), (-2,-1), (3,-3), (2,3)
O (-4,-2,2,3)
O (-3,-1, 1,3)
O(-4,-1, 1,3)
O (-3,-2,1,3)
Answer:
{-4, -2, 2, 3}
Step-by-step explanation:
The domain is the set of first numbers in the pairs, so includes 2, -4, -2, 3, 2. When we write this as a set, we eliminate duplicates. Often, we list them in order: {-4, -2, 2, 3}
Simplify for a = 3, b= -4 and c=-1.
16a - 3c + 5b =
Answer:
31
Step-by-step explanation:
16(3)-3(-1)+5(-4)
48+3-20
51-21
31
A baseball travels at an average rate of speed of 5280 feet per minute. At this rate of speed, how many feet will the ball travel in 5 seconds? Select one: a. 88 b. 440 c. 1056 d. 63,360
Answer:
440
Step-by-step explanation: