The actual area of the apartment will be 960 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
A blueprint shows an apartment with an area of 15 square inches.
If the blueprint's scale is 1 inch : 8 feet.
Then the scale factor will be 8/1 feet per inch.
Then the actual area square footage of the apartment will be
Actual area = 15 x (scale factor)²
Then the actual area of the footage will be
Actual area = 15 x (8/1)²
Actual area = 15 x 64
Actual area = 960 square feet
Thus, the actual area of the apartment will be 960 square feet.
More about the dilation link is given below.
https://brainly.com/question/2856466
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Matthew bought 3 pounds of cheese. He sliced the cheese into 8 equal sized pieces. How much does each piece of cheese weigh A. 6 oz B 12 oz C. 24 oz D. 48 oz
Answer:
6
Step-by-step explanation:
There are 48 oz in 3 pounds, or 16 oz in a pound. Now divide the oz by the equal sizes
48/8=6
A spinner has five sections labeled a,b,c,d,e. The spinner is spun 45 times
Answer:
40
Step-by-step explanation: pls I need points make brainpy
Plz write/type the answers, I pray u can help
How many 3/4 cup servings are in 1/2 cup of yougurt? Simplest fraction form
Answer:
2/3 serving
Step-by-step explanation:
(1/2)/(3/4) = 1/2 x 4/3 = 4/6 = 2/3 serving
A sweater costs $25. The store marks up the price by 85%. What is the selling price of the sweater?
Rewrite the function by completing the square. 2x^2 - 9x + 7 = 0.
Answer will look like this: (x + ____)^2 = ____
I need the blanks, any help?
Answer:
9=5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x²-9x+7=0
2x²-9x=-7
x²-9/2 x +(-9/4)²=-7+(-9/4)²
(x-9/4)²=-7+81/16=(-112+81)/16=-31/16
(x+(-9/4))²=-31/16
How many faces does a triangular pyramid have?
A. 3
B. 6
C. 4
D. 5
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
C. 4.
thanks hope it helpsFarmer Bob can get 10 gallons of milk from 4 cows. How many gallons of milk can he get from 14 cows?
Answer:
40 gallons of milk
Step-by-step explanation:
trust me that's the answer
The farmer will get 35 gallons of milk from 14 cows.
Process:
1) find the unit rate. do this by taking the independent value and divide it by the dependent value
10/4=2.5
2) Take this number and multiply it by the next dependent value
2.5 x 14 = 35
The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal? Do not write probability in terms of percentage. Round your answer to two decimal places.
Answer:
0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F.
This means that [tex]\mu = 57, \sigma = 10[/tex]
Sample of 25:
This means that [tex]n = 25, s = \frac{10}{\sqrt{25}} = 2[/tex]
of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal?
This is 1 subtracted by the pvalue of Z when X = 59. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{59 - 57}{2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.84
1 - 0.84 = 0.16
0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.
I WILL GIVE 50 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. The zeros of a function H are -2,3 and -4 which of the following could be h(x)
Answer:
a
Step-by-step explanation:
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Answer:
a. h(x)=(x+2) (x-3) (x+4)
Step-by-step explanation:
The zeros of the function are -2, 3 and -4:
(x=-2) (x=3) (x=-4)
(x+2) (x-3) (x+4)
Let's say you have a 4 gallon and a 10 gallon pailHow can you measure exactly 2 gallons of water?
You can fill the 10 gallon pail all the way up. After that, you can pour the water from the 10 gallon pail, into the 4 gallon pail 2 times. That will leave you with 2 gallons in the 10 gallon pail.
The only solution to x^2+bx+c=0 is x=5 find a and b
Answer:
b=-10
c=25
Step-by-step explanation:
if the only solution is 5 so
x^2+bx+c=(x-5)²=x²-10x+25
b=-10
c=25
help me please!!!!! and thank you!
Answer:
After 5 minutes, the submarine is at 240 ft below sea level.
Step-by-step explanation:
-300 + 16z
After 5 minutes, z = 5.
-300 + 16(5) = -300 + 80 = -240
After 5 minutes, the submarine is at 240 ft below sea level.
Someone help need this to pass last question for today!
Answer: Reflection=simply flipping an object across a line without changing its size or shape. While Translation just slide a figure in any direction without changing its size, shape or orientation.
Hopes that helps have a blessing day/night :)
1. Suppose the positive numbers a և b are such that a + b = 7.
A. b-1:
B. 1:
Գ. 0:
D. -1:
E. a
In sixteen years Paul will be 48 years old.
How old is he now?
Answer:
32 years old
Step-by-step explanation:
48-16=32
Answer:
Paul is 32 years old
Step-by-step explanation:
48 - 16 = 32
Challenge:
Put these in order (least to greatest)
Answer:
1 1/4, -1, -1/4, 0, 1/4, 1
Step-by-step explanation:
Answer:
-1 1/4, -1, -1/4, 0, 1/4, 1,
Step-by-step explanation:
What are some of the applications for exponential functions?
Designing identification tags
Conversion of measurements
Assigning phone numbers
Finding perimeter
Determining the number of subsets in a given set
Answer:
Option B and D are correct
Step-by-step explanation:
Exponential functions are really useful in the real world situation. They can be used to solve following
a) Population Models
b) Determination of area and perimeters
c) Determine time related things such as half life, time of happening of an event etc.
d) Useful for solving financial problems such as computing investments etc.
Hence, option B and D
answer all of them please
easy math questions for 20 points
14. On Monday, a work group eats at Ava's café,
where a lunch special is $8 and a dessert is
$2. The total is $108. On Friday, the group
eats at Bo's café, where a lunch special Is
$6 and a dessert is $3. The total is $90. Each
time, the group orders the same number of
lunches and the same number of desserts.
How many lunches and desserts are
ordered?
what the x and y value.
Answer:
no. who eat lunch special = 12
no. who eat dessert = 6
Step-by-step explanation:
Let x = no. who eat lunch special
y = no. who eat dessert
(1) 8x + 2y = 108 (2) 6x + 3y = 90
Divide thru by 2 Divide thru by 3
4x + y = 54 2x + y = 30
-2x - y = -30
2x = 24
x = 12 2(12) + y = 30
24 + y = 30
y = 6
Plz need helppp Quick !!!!!!!
Step-by-step explanation:
A. 1 cup of blue rate for 3/5 cup of red paint
B. 1 cup of flour for 2.5 muffins
C. r = d/t = 420 miles/7 hours = 60 miles per hour.
D. 48/3 = $16 for every hour
E. $15/6 = $2.5 for every hot dog
HELP HELP HELP ME OUT PLEASE WHATS THE ANSWER TO THIS YOU'LL GET 50+ BRAINLIEST POINTS PLEASE ANSWER CORRECTLY
what is the difference between Whole numbers and Natural numbers
Answer:
Whole no includes positive as well as negative integer but Natural numbers includes positive integer .
The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.
Answer:
45
Step-by-step explanation:
1/2×9×10
since the formula says half base times height, so therefore
Area =45
The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inches to safely hold 3 guppies. How many guppies can a fish tank that is 24 inches long, 12 inches wide, and 16 inches high safely hold? It can safely hold ___ guppies.
How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form
y=2/3x-2
Explanation:
The equation of a line can be written as y=mx+c
m=slope and c = y-intercept
The point at the x−intercept has coordinates (-3,0)
In y=mx+c
0=2/3(3)+c
0=2+c
-2=c
The equation is y=2/3x-2
Answer:
[tex] y = \frac{2}{3} x - 3[/tex]
Step-by-step explanation:
Slope (m) = 2/3
y-intercept (b) = - 3
Equation of line in slope intercept form is given as:
[tex] y = mx + b[/tex]
Plug the values of m and b in the above equation, we find:
[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]
Which fraction is the product of 5/4 x 6?
Answer:
15 x /2
Step-by-step explanation:
X+4y=8 and 3x+4y=0 find the slope-intercept form
Answer:
Step-by-step explanation:
Slope intercept form: y =mx + c
1) x + 4y = 8
4y = -x + 8
Divide the equation by 4
[tex]\frac{4y}{4}=\frac{-x}{4}+\frac{8}{4}\\\\y = \frac{-1}{4}x + 2[/tex]
Here, m = -1/4 and y-intercept = 2
2) 3x + 4y = 0
4y = -3x
Divide the equation by 4
y = [tex]\frac{-3}{4}x[/tex]
What is sec 0 when cot 0 = -4/2?
Answer:
[tex]sec 0=\frac{\sqrt{66} }{8}[/tex]
Step-by-step explanation:
[tex]Cot0=-4\sqrt{2}[/tex]
[tex]sec0=\frac{\sqrt{33} }{4\sqrt{2} }[/tex]
[tex]=\frac{\sqrt{33} }{4\sqrt{4} } *\frac{4\sqrt{2} }{4\sqrt{2} }[/tex]
[tex]=\frac{4\sqrt{66} }{32}[/tex]
[tex]=\frac{\sqrt{66} }{8}[/tex]
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hope it helps...
have a great day!!
Please help I’ll mark you as brainliest if correct!
Answer:
D. 50.24
Step-by-step explanation:
The circumference based on the diameter of 16 is 50.27. Since its asking for the closest I would believe its D. :) hope this helps