Given what we know, we can confirm that the perimeter of the image is 9 units.
Perimeter and Scale factor.To calculate the perimeter of a shape, we must add the length of all of its sides. When we dilate a shape, we multiply each of its sides by our scale factor.Our scale factor is [tex]\frac{3}{5}[/tex], which corresponds to 0.6 in decimal form Taking the sum of 15 as the perimeter of the preimage and multiplying by 0.6 gives us the perimeter of the image which is 9 units.Therefore, given that [tex]15units * \frac{3}{5} = 9 units[/tex], we can confirm that the perimeter of the image is 9 units.
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Ben put $6,500 into a savings account that earns 2.5% interest each year. How much interest will he earn after 6 years in the savings account?
Answer:
$1,038
Step-by-step explanation:
the equation for annual compound interest is y=p(1±r)^t, where p is the principal (starting amount), r is the rate (as a decimal), and t is the number of years (time).
2.5% as a decimal is 0.025
We will add that to 1, because when we earn interest, we are gaining money.
So we will substitute our given numbers into the equation:
y=6500(1.025)^6
solve:
y=$7,5638 (rounded)
That's the total amount he earned (principal + interest). To find out how much interest he earned over those 6 years, subtract our new amount from our starting amount
75638-6500
$1,038
So he made $1,038 in interest
Duncan is running to raise awareness and money for cancer. He finds 2 people who have pledged to
donate money based on the distance he runs. His neighbor says he will donate $0.25 for every 40 feet
Duncan runs. His aunt also says that she will donate $12 for every mile he runs. If Duncan runs a total of
7 miles during the cancer awareness run, how much money will he have raised based on these two
donations?
Answer:
$1008
Step-by-step explanation:
12 x 7 = $84 his aunt gives him.
1 mile = 5,280 feet
5,280 x 7 = 36,960 feet he ran.
5,280 ÷ 40 = 132 for every mile he runs
132 x 7 = $924 from his neighbor.
924 + 84 = 1,008
Evaluate: C(14, 10)
no pic just answer it
Given:
The combination C(14,10).
To find:
The value of the given combination.
Solution:
We know that,
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Using this formula, we get
[tex]C(14,10)=\dfrac{14!}{10!(14-10)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11\times 10!}{10!(4)!}[/tex]
[tex]C(14,10)=\dfrac{14\times 13\times 12\times 11}{4\times 3\times 2\times 1}[/tex]
[tex]C(14,10)=7\times 13\times 11[/tex]
[tex]C(14,10)=1001[/tex]
Therefore, the value of C(14,10) is 1001 and the correct option is B.
The equivalent expression of "[tex]C(14,10)[/tex]" is "1001".
Equivalent expression:using formula:
[tex]\to ^n C_r=\frac{n!}{r!(n-r)!}[/tex]
putting the given value into the above formula:
[tex]\to ^{14} C_{10}=\frac{14!}{10!(14-10)!}[/tex]
[tex]=\frac{14 \times 13 \times 12 \times 11 \times 10! }{10! \times 4 \times 3 \times 2 \times 1}\\\\=\frac{14 \times 13 \times 12 \times 11 }{ 4 \times 3 \times 2 \times 1}\\\\={7 \times 13 \times 11 }{}\\\\=1001[/tex]
Therefore, the final answer is "1001".
Find out more information on the equivalent here:
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answer for both and explain B
20+ points
Answer:
Given function:
g(x) = x² - 6x + ca)
c = 2Th x-intercept found when g(x) = 0
x² - 6x + 2 = 0Solve the equation to find the values of x:
x² - 6x + 2 = 0x² - 6x + 9 = 7(x - 3)² = 7x - 3 = ±√7x = 3 ± √7The x-intercepts are (3 + √7, 0) and (3 - √7, 0)
b)
c = 10Solve as above:
x² - 6x + 10 = 0x² - 6x + 9 + 1 = 0(x - 3)² = -1The left side is a square of a number which is always positive, the right side is negative.
It means there is no solution, so no-x-intercepts.
The graph of the function lies above the x-axis.
Urgent!
E is directly proportional to F.
When E = 2, F = 8
(a) Find an equation for E in terms of F.
(b) Find the value of E when F = 30
(C) Find the value of F when E = 100
Answer:
a. 4×2 = 8
b. E = 120
c. F = 400
Help Please ASAP all answers are greatly appreciated!
Answer:
its either a or b not entirely sure on which
Step-by-step explanation:
the area of the rectangle is 180 (15x12) so it cant be 180 and the semicircle is smaller then the rectangle so it cant be more than 360 hope this helps
Answer:
236.5
Step-by-step explanation:
Sorry if it looks messy, I messed up in the middle!
0.4x - 1.2 = 0.15x + 0.8 ?????????
Answer:
x = 8
Step-by-step explanation:
0.4x - 1.2 = 0.15x + 0.8
0.4x - 1.2 + 1.2 = 0.4x
0.15x + 0.8 + 1.2 = 0.15x + 2
0.4x = 0.15x + 2
0.4x - 0.15x = 0.25x
0.15x + 2 - 0.15x = 2
0.25x = 2
0.25x / 0.25 = x
2 / 0.25 = 8
x = 8
PLEASE HELP ME!! ASAP
Given f(x) = x^2 – 10x + k, and the remainder
when f (x) is divided by x + 2 is 32, then what is
the value of k?
Answer:
Step-by-step explanation:
PLEASE HELP ME!! ASAP
Given f(x) = x^2 – 10x + k, and the remainder
when f (x) is divided by x + 2 is 32, then what is
the value of k?
Leilani hung a triangular pennant for her favorite baseball team in her room as shown below.
If the area of Leilani’s pennant is 82.65 in.2, what is the measure of the base in inches?
Answer:
Step-by-step explanation:
recall the area of a triangle is Area = 1/2* Base* height
then we know the height, and the area solve for the base
I'll do the algebra symbolically so you can see how
A = 1/2 *B * H ( start here)
2A/H = B ( move to here )
Now plug in what you know on the left side
2*82.65/17.4 = base
9.5 = base :)
Round the following real number to the nearest hundredth: 67.498
Answer:
67.50
Step-by-step explanation:
Answer:
67.5The hundredth is always the second number after the decimal point (to the right).
So, when rounding to that number look at the number on the right of it, which in this case is 9.
Then, if the number is 5 to 9, round up, but if it is 0 to 4, round down.
In this case, the number above 0.49 is 0.5.
Hope this helps! I would really appreciate it if you would mark me brainliest! Have a blessed day!
Please help! 20 points!
Answer:
i dont know sorry
Step-by-step explanation:
Please answer help thank you
sebuah pesawat penyelam terbang dengan kecepatan 55.0 m/s dengan ketinggian konatan h 400m dengann gaya gravitasi 9.8 m/s kuadrat.tentukan sudut elevasi !!
help
Answer:
Step-by-step explanation:
Hand d hands. I Nnendjejw ndndnenend nsdnd nsrjer
please help me ill mark you brainly and please show your work
Step-by-step explanation:
[tex] \frac{5}{8} (4x - 16) = 20[/tex]
[tex] \frac{5}{2} x - 10 = 20[/tex]
[tex] \frac{5}{2}x = 20 - 10[/tex]
[tex]x = 4[/tex]
Solve system of linear equations by graphing.
-2x - 5y = -10
3x + 6y= 18
Answer:
this is the answer bb
Step-by-step explanation:
Which values are solutions to the inequality below?
Check all that apply.
X < 9 HELPPP MEEE PLSSS
Answer:
is 5 i hope it helps
Step-by-step explanation:
okay remember that this < stand for less numbers
Answer:
80, 75
Step-by-step explanation:
[tex]\sqrt{x}[/tex] < 9
x < 9²
x < 81
Thus, 8 is lesser than 81. 80 and 75 are the only numbers lesser than 81 so they are the answer.
The dimensions of a box are (x+3),(3x-4),(5x+1). What is the volume of the box? 9x 9x^3 15x^3+28x^2-55x-12
Answer:
15x^3+28x^2-55x-12
Step-by-step explanation:
Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.
assuming the box is cuboidal
Therefore, volume of the box = Length× width× height
⇒volume of the box = (x+3)×(3x-4)×(5x+1)
now, (x+3)×(3x-4) = (3x^2+5x-12)
Now, volume of the box = (3x^2+5x-12)×(5x+1)
= 15x^3+28x^2-55x-12
PLEASE HELP! :) IMAGE IS BELOW!! QUESTION: Describe a series of transformations that will transform ∆ABC to ∆A'B'C'.
Answer:
Dilation and translation.
Hope that helps!
Step-by-step explanation:
PLZ PLZ PLZ PLZ HELP WILL GIVE BRAINLIST IF CORRECT!
Answer:
104.92
Step-by-step explanation:
$480 is shared in the ratio 4:3:5
Here are four number cards. 7,1,8,4. Using only three of the cards, write down the three digit number closest to 800 that can be made.
Answer:
784 or 814
Step-by-step explanation:
these two numbers can be the closest written to the value of 800
Henry's dinner bill is $132 the sales tax of 10% he lives at it of 15% how much will I pay in tax how much does it pay in tip what is his total bill
Answer:
$165
Step-by-step explanation:
Dinner bill = $132
Sales tax = 10% of dinner bill
Tip left = 15% of dinner bill
Amount of sales tax :
10% of $132
0.1 * $132 = $13.2
Amount of tip left :
15% * $132
0.15 * $132 = $19.8
Total bill :
Dinner cost + sales tax + tip
$132 + $13.2 + $19.8
= $165
what is the value of z?
Answer:
3 (z = 35)
Step-by-step explanation:
(22 + 19) + 104 + z = 180° => triangle sum theorem
41 + 104 + z = 180
145 + z = 180
145 + z - 145 = 180 - 145
z = 35
Neptune's average distance from the Sun is 4.503 × 109 km. Mercury's average distance from the Sun is 5.791 × 107 km. About how many times farther from the Sun is Neptune than Mercury
9514 1404 393
Answer:
Step-by-step explanation:
The ratio of distances is ...
Neptune distance / Mercury distance = (4.503×10^9)/(5.791×10^7)
= 450.3/5.791 = 77.76 . . . . cancelling factors of 10^7
Neptune is about 77.76 times as far from the Sun as Mercury is.
Someone plz help in this math question
Answer:
BDA=52 angles at the centre is equal to 2× angles at circumference
Leo ran 1 1/8 miles every day and for 7 days. He wrote the equation below to help him find the total number of miles he ran for the week.
Answer:
7.875
Step-by-step explanation:
1 1/8 times 7= 7.875
which of the following statements is correct
The graph below shows the distance a car can
travel, y, using x gallons of gasoline.
300
200
Distance (miles)
100-
1 2 3 4 5 6 7 8 9
Amount of Gasoline
(gallons)
HELPP!!
Answer:
yyyyyyyyyy
Step-by-step explanation:
yyyyyyyyyyyyyyy
i need help pls and thank you
A city pool has 3 wading pools. Each pool is in the shape of a parallelogram with a
base of 4.2 meters and a height of 3.2 meters. What is the total area of the splash
pads?
40.32 m2
O
13.44 m2
O m
10.4 m2
Answer:
i think it's 13.44
Step-by-step explanation:
im not really sure, but let me know if im wright pls!!
hope this helped!!