Answer:
1. Translate circle G T₍₁, ₃₎, 1 right, 3 up
2. Dilate circle 'G' by a scale factor of 1/3 ro
Step-by-step explanation:
The parameters of the two circles are;
The center of circle G = (-4, 2)
The radius of circle G, r₁ = 6
The center of circle H = (-3, 5)
The radius of circle H, r₂ = 2
The transformations that will show that circle G is similar to circle H are;
1. Translate circle G 1 unit right and 3 units up to locate the center of circle 'G' at the center of circle 'H'
Therefore the translation of circle 'G' to circle 'H' = T₍₁, ₃₎
2. The scale factor required to dilate circle 'G' to circle 'H', S.F. = r₂/r₁
Therefore;
S.F. = 2/6 = 1/3
The scale factor required to dilate circle 'G' to circle 'H' = 1/3
Therefore;
The radius of circle 'H' with a radius of 2 and center at (-3, 5) can be obtained from circle 'H', by a translation of T₍₋₁, ₋₃₎, and a dilation with a scale factor of 1/3
A prime number that is 1 more or 1 less than the value of a factorial is called a factorial prime. Which of the following numbers is not a factorial prime?
4! - 1 = 23
6! - 1 = 719
5! - 1 = 119
3! - 1 = 5
Answer:
Step-by-step explanation:
Jack took out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answer: $32,732.58
Step-by-step explanation:
To calculate the total loan payment over the course of the loan period, use the future value formula:
= Loan amount * (1 + rate) ^ number of years
As this loan is compounded monthly, you need to convert certain terms to monthly figures:
Number of periods = 6 * 12 months = 72 months
Interest = 4.5 / 12 = 0.375%
Total payment:
= 25,000 * ( 1 + 0.375%)⁷²
= $32,732.58
He will have to pay $34,236.31 over the course of the loan.
Using the compound interest formula expressed as:
[tex]A =P(1+r/n)^{nt}[/tex]
P is the principal = $25000
r is the rate = 4.5% = 0.045
t is the time in years = 6 years
n is the compounding amount = (12)monthly
Substitute into the formula:
[tex]A =25000(1+0.045/12)^{12(7)}\\A=25000(1.36945)\\A = \$34,236.31[/tex]
Hence he will have to pay $34,236.31 over the course of the loan
Learn more on compound interest here: https://brainly.com/question/24274034
Laura has a 12-foot ladder. The safety instructions recommend the base of the ladder be placed 4 feet from the base of the wall. How high will the ladder be able to reach on the wall? BRAINLIEST FOR CORRECT ANSWER!!!!
Answer:
3
Step-by-step explanation:
12÷4=3
Have a good day:)
Kunicki uses a medium and a large measuring cup to measure the ingredients to make his famous Buttery Oatmeal Raisin Cookies. He wants to know how many ounces of liquid each measuring cup can hold. He first filled a 80 ounce mixing bowl with 8 large cups and 4 medium cups of liquid. 4 large cups and 12 medium cups of liquid. How many ounces each cup holds?
Answer:
L = 16oz
M = 12oz
S = 8oz
Step-by-step explanation:
8 large equal to 128oz ( 8 x 16 = 128 )
4 medium equal to 48oz ( 4 x 12 = 48
4 large equal to 64oz ( 4 x 16 = 64
12 medium equal to 144oz ( 12 x 12 = 144 )
Total of oz equal 384oz
384 - 80 = 304/80 = 3.8
3 more bowl of 80oz and 5 Mcup and 1/2 Scup
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories. About how many servings are in the package?
Answer:
Number of servings= 48.05
Step-by-step explanation:
Giving the following information:
One package of cookies contains 3,460 calories. Each serving of cookies contains 72 calories.
To calculate the number of servings, we need to use the following formula:
Number of servings= total calories / calories per serving
Number of servings= 3,460 / 72
Number of servings= 48.05
Write the standard equation of each circle below
I need help please!!:)
Answer:
No bcuz its not on the line
Step-by-step explanation:
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1279 visitors entered the park. 280 visitors bought tickets for either the Slingshot or the Scream Flyer. 247 visitors bought a ticket for the Slingshot and 237 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer
Answer: [tex]\frac{204}{1279}[/tex]
Step-by-step explanation:
Formula for intersection:
n(A and B) = n(A)+n(B)-n(A or B)
Given: n(Slingshot) = 247
n(Scream Flyer)= 237
n(Slingshot or the Scream Flyer) = 280
n (Slingshot and Scream Flyer)= 247+237-280
=204
Probability of any event = [tex]\frac{\text{Number of favourable outcomes}}{\text{total outcomes}}[/tex]
P(both the Slingshot and the Scream Flyer)= [tex]\frac{204}{1279}[/tex]
Required probability = [tex]\frac{204}{1279}[/tex]
Area of triangle please help
Answer:
A= 18
Step-by-step explanation:
Answer:
18 your answer is correct
Step-by-step explanation:
12x3=36
36÷2=18
If f (x) = 6x – 5,
find x for f (x = 13
Step-by-step explanation:
f(x)=136x-5=136x=13+5x=18/6x=3hope it helps stay safe healthy and happy....Answer:
Solution :-here,
f (x)= 13
or, 6x-5= 13
or, 6x =13+5
or, 6x = 18
or, x = 18/6
or, x = 3
hope it is helpful to you
Help me solve this! |2x-8|+4>-3
Answer:
true for all x
Step-by-step explanation:
|2x-8|+4>-3
Subtract 4 from each side
|2x-8|+4-4>-3-4
|2x-8|>-7
An absolute value is always positive so this is true for all x
which statement is not guaranteed to be true
Answer:
Diagonal AC is NOT perpendicular to diagonal BD
Step-by-step explanation:
factorizar A- m⁹+125
B - 125a³ + 150a² b + 60ab³ + 8b³
Answer:
Kya Hua Hai Bhai Sab Kuchh khae Duniya Mein Sab Koi pata nahin to Aap To Pyar Karte
A website 500,000 members in 2010. The number y of members increases by 15% each year. Write an exponential growth function that represents the website membership t years after 2010. How many members will there be in 2016? Round your answer to the nearest ten thousands
Answer:
a = 500,000(1.15)^t
1,160,000
Step-by-step explanation:
a = 500,000(1.15)^t
in 2016
a = 500,000(1.15)^6
a = 1,156,530
Rounded
1,160,000
The number of members present in 2016 is 1,156,530. It can be rounded to 1,160,000.
What is an exponential function?
The function is expressed in the form like f(x) = a^x are called exponential function. Where x is a variable and a is a constant.
The number of members in the website in 2010 is 500,000.
Each year y members increased by 15%.
The exponential relation of members and year is
y = 500,000(1.15)^t
Then in 2016 the number of members present are given by,
y = 500,000(1.15)^6 = 1,156,530.
Hence, 1,156,530 members present in 2016. It can rounded to 1,160,000.
To learn more about exponential function, use the link given below:
https://brainly.com/question/29162975
#SPJ2
what is the formula of gradient
Answer:
m=slope
(x_1, y_1)=coordinates of the first point in the line
(x_2, y_2)=coordinates of the second point in the line
Step-by-step explanation:
I need to find X and Y
Can someone pls help me
What would be the second step in simplifying the expression 4 2 ÷ (2 • 9) + 5?
Answer:
7.333
Step-by-step explanation:
(42 ÷ 18 ) +5 =
7/3 +5 =
7/3 + 15/3 =
22/3 =
7.333
Answer:
4.33
Step-by-step explanation:
Find the value of x (Best answer is brainliest)
Answer:
35
Step-by-step explanation:
180-110=70
70/2=35
x=35
You take 180-110=70 and divide it by two because you have to know each angle measure. That causes you to get 35. Therefore, X=35
Hope this helps:)
Need help
Pls explain
9514 1404 393
Answer:
y = -1.5x +3
Step-by-step explanation:
The two points marked on the line are ...
(-4, 9) and (6, -6)
The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (-6 -9)/(6 -(-4)) = -15/10 = -1.5
The intercept formula can be used to find the y-intercept:
b = y -mx
b = 9 -(-1.5)(-4) = 9 -6 = 3
The slope-intercept form of the equation for a line is ...
y = mx + b . . . . . . . line with slope m and y-intercept b
y = -1.5x +3
_____
Additional comment
We can see that the line crosses the y-axis at y=3, so this is the value of b. We only need to read it from the graph. We don't really need the formula shown above.
The line also crosses the x-axis at x=2. This means the line decreases 3 units (from y=3 to y=0) as x increases by 2 units (from x=0 to x=2). Then the slope is ...
m = rise/run = (-3)/(2) = -3/2 = -1.5 . . . . as calculated above
That is, we can find the parameters of interest by simply counting grid squares on the graph.
Five children have heights of 138cm, 135cm, 140cm, 139cm, and 141cm.
What is the range of their heights?
Answer:
6 cm
Step-by-step explanation:
To find the range take the largest number and subtract the smallest number
The largest number is 141 and the smallest number is 135
141 - 135 = 6 cm
I need Answer Immediately!!!!!!
Answer:
24.2424242424242%
Step-by-step explanation:
16+17+33=66
16÷66=0.2424242424242
What is the radius of a circle with a circumference of 26 meters?
Answer: 4.14 m.
Step-by-step explanation:
CAN SOMEONE HELP WITH THESE 2 questions please!! Reposting cause someone said too !!! Will mark u brainlist and give u points!!!
Answer:
do u need help with the whole page?
Step-by-step explanation:
Find the volume.
A. 103 yd
B. 54 yd
C. 74 yd
D. 84 yd
Answer:
d. 84 yd
Step-by-step explanation:
[tex] \frac{1}{2} (12 + 36)(3.5) \\ \frac{1}{2} (48)(3.5) \\ \frac{168}{2} = 84[/tex]
What is the least common denominator of the equation 2/9x + 2/3x =7 ?
Answer:
that would be 9 as the least common denominator
Step-by-step explanation:
please help ASAP
ITS 14 points
Answer:
area= 62.88
Step-by-step explanation:
to find the area of the whole figure take the diameter of the circle witch is 8 and multiply it by 11. the area of the whole figure including the semi-circle is 88.
now find the area of the whole circle and divide it in half.
A= pi * r^2 / 2
A= 3.14 * 4^2 /2
A= 3.14 * 16 / 2
A= 25.12
Now take the area of the semi-circle and subtract it from the whole figure.
88-25.12=62.88
find three consecutive odd integers such that the sum of the last two is 15 less than 5 times the first
2n + 1 , 2n + 3 , 2n + 5
____________________________
( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15
4n + 8 = 10n + 5 - 15
4n + 8 = 10n - 10
Add both sides 10
4n + 8 + 10 = 10n - 10 + 10
4n + 18 = 10n
Subtract both sides 4n
4n - 4n + 18 = 10n - 4n
18 = 6n
Divide both sides by 6
18 ÷ 6 = 6n ÷ 6
n = 3
_________________________________
Thus that three numbers are :
2(3) + 1 , 2(3) + 3 , 2(3) + 5
6 + 1 , 6 + 3 , 6 + 5
7 , 9 , 11
And we're done ....
What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
Answer:
8
Step-by-step explanation:
The average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
What is a function?A relation is a function if it has only One y-value for each x-value.
The average rate of a function f(x) from x=a to x=b is given as:
= f(b)-f(a)/b-a
Clearly we are asked to find the average rate of change from x=0 to x=2.
i.e. a=0 and b=2
Also, from the graph it could be observed that:
f(0)=1
and f(2)=-3
=f(2)-f(0)/2-0
=-3-1/2
=-4/2
=-2
Hence, the average rate of change for this quadratic function for the interval from x = 0 to x = 2 is -2
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ7
The period of function is 4 pie how many cycles of the function occur in a horizontal length of 12 pie
Answer: 3
Step-by-step explanation:
Given
The period of the function is [tex]4\pi[/tex] i.e. function completes a full cycle in this zone.
For a horizontal length of [tex]12\pi[/tex]
Number of cycles is
[tex]\Rightarrow \dfrac{12\pi }{4\pi }=3[/tex]
So, there are 3 ycles of the function in length of [tex]12\pi[/tex].
Answer:
3
Step-by-step explanation:
I just did it and it was correct.
Any help plssssssssssss I need to pass
Answer:
(-4,-5)
Step-by-step explanation:
hope you pass ur exams!!