A kitchen measures 20 feet and 10 feet wide. A scale drawing is made using a scale factor of 1/24. What is the length of the kitchen in the scale drawing. Pls right now!!!
Answers
By applying the change of scale, we will see that the drawing has a length of 0.83ft and a width of 0.42ft.
What is the length of the kitchen in the scale drawing?
When we apply a scale factor, we just need to multiply all the dimensions by the scale factor.
Here we know that the real length of the kitchen is 20ft, and the scale factor is K = 1/24.
Then the length of the kitchen in the drawing will be:
L = 20ft*(1/24) = (5/6) ft = 0.83 ft.
And the original width is 10ft, so the width on the scale drawing is:
W = 10ft*(1/24) = (5/12) ft = 0.42ft
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The change of scale, we will see that the drawing has a length of 0.83ft and a width of 0.42ft.
What is Scale Factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures.
Here, we know that the real length of the kitchen is 20ft, and the scale factor is k = 1/24.
Length = 20ft*(1/24) = (5/6) ft = 0.83 ft.
and, Width = 10 X (1/24) = (5/12) ft = 0.42ft
Thus, the change of scale, we will see that the drawing has a length of 0.83ft and a width of 0.42ft.
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Related Questions
Which graph represents a reflection across the x-axis of g(x) = (3)x?
Answers
The graph we need is \(y=-3^x\), which is shown in the attached image.
Axel runs 10 kilometers in 85 minutes. At the same rate, how many minutes would he take to run 8 kilometers?
Answers
Answer:
68
Step-by-step explanation:
85/10= 8.5 (sp he's running each km in 8.5 mins)
8.5x8= 68
is the binomial probability mass function formula related to the compound interest formula?
binomial has : (1 - p)^(n - k)
compound interest has : (1+r)^(nt)
Answers
For binomial probability mass function formula and compound interest formula, These both involve the use of exponents, they are not otherwise related to each other in any significant way.
What is Compound interest?
Compound interest is the interest that is earned not only on the initial principal amount of an investment, but also on any interest that has accumulated over time. In other words, it is interest that is "compounded" or added to the principal amount at specific intervals, such as daily, monthly, quarterly, or annually.
Now,
The binomial probability mass function formula and the compound interest formula are not directly related to each other, as they are used to model different types of phenomena.
The binomial probability mass function is used to calculate the probability of obtaining a certain number of successes in a fixed number of independent trials, where each trial has two possible outcomes (success or failure) and the probability is same. The binomial probability mass function is
P(x) = pˣ (1-p)ⁿ⁻ˣ
where X is the number of successes, k is the specific number of successes we are interested in, n is the total number of trials, p is the probability of success on each trial, and represents the binomial coefficient.
The compound interest formula, on the other hand, is used to calculate the value of an investment over time, assuming a fixed interest rate and compounding periods. The future value is
FV = PV x (1 + r/n)ⁿˣ
where FV is the future value of the investment, PV is the present value of the investment, r is the interest rate (expressed as a decimal), n = number of times interest is compounded per year, and x = number of years.
While both formulas involve the use of exponents, they are not otherwise related to each other in any significant way.
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The binomial probability mass function formula and the compound interest formula are not directly related to each other.
The binomial probability mass function formula is used to calculate the probability of observing a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials. The formula is:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
where X is the random variable representing the number of successes, k is the number of successes we want to observe, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.
On the other hand, the compound interest formula is used to calculate the value of an investment that earns a fixed interest rate over a certain period of time, assuming that the interest is compounded at regular intervals. The formula is:
A = P * (1 + r/n)^(nt)
where A is the final amount of the investment, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the number of years, and (1 + r/n)^(nt) represents the growth factor of the investment.
While both formulas involve exponents and use the terms (1 - p) and (1 + r/n), they are fundamentally different in their purpose and application.
The table shows three unique functions. (TABLE IN PIC) Which statements comparing the functions are true? Select three options. Only f(x) and h(x) have y-intercepts. Only f(x) and h(x) have x-intercepts. The minimum of h(x) is less than the other minimums. The range of h(x) has more values than the other ranges. The maximum of g(x) is greater than the other maximums.
Answers
Answer:
(A)Only f(x) and h(x) have y-intercepts.
(C)The minimum of h(x) is less than the other minimums.
(E)The maximum of g(x) is greater than the other maximums.
Step-by-step explanation:
From the table
f(0)=0 and h(0)=0, therefore, Only f(x) and h(x) have y-intercepts. (Option A)
Minimum of f(x)=-14Minimum of g(x)=1/49Minimum of h(x)=-28Therefore, the minimum of h(x) is less than the other minimums. (Option C).
Maximum of f(x)=14
Maximum of g(x)=49
Maximum of h(x)=0
Therefore, the maximum of g(x) is greater than the other maximums. (Option E)
Answer: It's B,C, and E
Step-by-step explanation:
Jason started a company that makes and sells banjos. He spent $15,000 to start the company and spends $50 to make each banjo. The company sells each banjo for $150. The graph of the system of linear equations representing Jason’s company’s costs and revenue for making and selling x banjos is shown below.
How many banjos will his company need to sell for costs and revenue to be equal?
Answers
9514 1404 393
Answer:
150
Step-by-step explanation:
Each banjo sold contributes $100 toward profit. Then $15000/$100 = 150 banjos need to be sold to cover the $15,000 in start-up costs. A properly extended graph shows this.
I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
much money did I spend?
Answers
Answer:
6.07
Step-by-step explanation:
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
Which statements are true about the graph of y < 2x+1? Check all that apply 3 The slope of the line is 1 The line is solid The area below the line is shaded. A solution to the inequality is (2, 3) The x-intercept of the boundary line is (-2, 0) Graph y
Answers
The statements that are true about the graph of y < 2x+1 include the following:
C. The area below the line is shaded.
D. A solution to the inequality is (2, 3).
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided, we have the following equation (inequality);
y < 2x + 1
The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).
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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
Answers
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Two pools are being filled with water. To start, the first pool contains 707 liters of water and the second pool is empty. Water is being added to the first pool at a
rate of 18.25 liters per minute. Water is being added to the second pool at a rate of 43.5 liters per minute.
After how many minutes will the two pools have the same amount of water?
How much water will be in each pool when they have the same amount?
Answers
Let t be the number of minutes that have passed since water started being added to the two pools. The total amount of water in the first pool after t minutes is 707 + 18.25t liters, and the total amount of water in the second pool after t minutes is 43.5t liters. We are looking for the value of t that makes these two quantities equal, which represents the time when the two pools have the same amount of water.
We can set the two quantities equal to each other and solve for t to find the value of t that makes the two pools have the same amount of water:
707 + 18.25t = 43.5t
707 = 25.75t
t = 27.5
Therefore, after 27.5 minutes, the two pools will have the same amount of water.
To find the amount of water that will be in each pool when they have the same amount of water, we can substitute the value of t that we found above into the expressions for the total amount of water in each pool:
First pool: 707 + 18.25 * 27.5 = 707 + 501.875 = 1208.875
Second pool: 43.5 * 27.5 = 1208.875
Therefore, when the two pools have the same amount of water, each pool will have 1208.875 liters of water.
a fabric designer is mapping out a new design. part of the pattern is formed by a repeating polygon the inital polygon has vertices ( -7, 3), (- 4,6), ( -1, 3) and (-4, 0) The next polygon is a translation of the first along the vector {3, -3}. Which is not a vertex of the image?
Answers
Considering the given translation, the vertex that is not part of the image is:
H(3,0).
What are the translations to an image?
The translations to an image are represented as follows:
The vector notation of a translation is given as follows:
{x ± a, y ± a}
In this problem, this notation is:
{3, -3}.
Hence the rule applied to each vertex of the image is:
(x,y) -> (x + 3, y - 3).
The vertices of the original figure are as follows:
( -7, 3), (- 4,6), ( -1, 3) and (-4, 0)
Applying the translation rule, the vertices of the image are given as follows:
(-4, 0), (-1, 3), (2, 0), (-1, -3).
The lone coordinate without a vertex of the image is H(3,0).
Missing InformationThe problem is given by the image at the end of the answer.
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? Question
Select the graph of the transformation.
The graph f(x)=√√ is transformed to form
shows g(x).
Answers
Answer: The vertex of the graph of \(y=x^2\) is shifted to the right 4 units and up 3 units.
Factor using the identity:
a3 + b3 = (a + b)(a? - ab + b2)
Z3+8
Answers
I had plugged z^3 + 8 into the (a^3 + b^3) and got that but I don’t wanna tell you this would be completely correct
What mapping best represents the function: f(x)=2x^2+5x+3 when the domain is: {-1,0,3}?
Answers
Answer:
The second option
x ==> f(x)
-1 ==> 0
0 ==> 3
3 ==> 36
Step-by-step explanation:
Given:
f(x) = 2x² + 5x + 3
{-1, 0, 3}
Required:
Determine the best mapping representing the function
SOLUTION:
First, find f(x) each domain value.
To find f(x), plug in the domain value into the function.
For -1, we have:
f(-1) = 2(-1)² + 5(-1) + 3
f(-1) = 2 - 5 + 3
f(-1) = 0
For 0, we have:
f(0) = 2(0)² + 5(0) + 3
f(0) = 0 + 0 + 3
f(0) = 3
For 3, we have:
f(3) = 2(3)² + 5(3) + 3
f(3) = 18 + 15 + 3
f(3) = 36
The mapping that best represents the function would be:
x (domain) ==> f(x) (range)
-1 ==> 0
0 ==> 3
3 ==> 36
The second option is the answer.
g(t)=−(t−1)
2
+5g, left parenthesis, t, right parenthesis, equals, minus, left parenthesis, t, minus, 1, right parenthesis, squared, plus, 5
What is the average rate of change of
�
gg over the interval
−
4
≤
�
≤
5
−4≤t≤5minus, 4, is less than or equal to, t, is less than or equal to, 5?
Answers
The average rate of change over is 1.
Given that;
the function is,
⇒ g (t) = - (t - 1)² + 5
Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.
The value of G(-4):
The value of G(-4) can be determined by substituting t = -4 in the function
⇒ g (t) = - (t - 1)² + 5
Thus, we have,
⇒ g (t) = - (-4 - 1)² + 5
⇒ g (t) = - 20
Thus, the value of G(-4) = -20
The value of G(5):
The value of G(5) can be determined by substituting t = 5 in the function , we get,
⇒ g (t) = - (t - 1)² + 5
⇒ g (t) = - (5 - 1)² + 5
⇒ g (t) = - 11
Thus, the value of G(5) is, -11
Now, Average rate of change:
The average rate of change can be determined using the formula,
⇒ G(b) - G (a) / (b - a)
where, a = - 4 and b = 5
Substituting the values, we get,
⇒ G(5) - G (-4) / (5 - (-4))
⇒ ( - 11 - (- 20)) / 9
⇒ 9/9
⇒ 1
Thus, the average rate of change over the interval is. 1.
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What is -17 mod 8 I’m confused at the moment
Answers
Answer:
-136
Step-by-step explanation:
Given :
-17(|8|)
Mod of positive number is positive
So, |8|=8
-17(8)
=-136
Therefore,-17 mod 8 is -136
What is the domain of the relation described by the set of ordered pairs (-2,8), (-1,1) (0,0) (3,5), (4,-2)?
Answers
Step-by-step explanation:
(-2,-1,0,3,4) are the domain
(x,y)=(domain,range)
simply x components are the domain whereas y components are the range
what is the value of n when 3/5 of n is 27?
Answers
Answer:
n=45
Step-by-step explanation:
divide 27 by 3 and you get 1/5 of n. Then multiply the number you got (9) by 5 to get 1 whole. your answer is then 45
Which one of the following statements must be true about the kite shown?
A. AB ≅ CB
B. BD ≅ AC
C. CD≅ BC
D)
≅
Answers
Answer:
answer is Afridi.AB=CB
convert an effective rate of 14,5% per annum, to a nominal rate per annum compounded half yearly
Answers
The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.
To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:
Nominal rate \(= (1 + r/m)^m - 1\)
Where:
r = effective rate
m = number of compounding periods per year
In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.
Since compounding is done semi-annually, m would be 2.
Plugging in the values:
Nominal rate \(= (1 + 0.145/2)^2 - 1\)
Simplifying the expression inside the parentheses:
Nominal rate \(= (1 + 0.0725)^2 - 1\)
Calculating the exponent:
Nominal rate \(= (1.0725)^2-1\)
Performing the calculations:
Nominal rate = 1.14900625 - 1
Nominal rate = 0.14900625
Converting the nominal rate to a percentage:
Nominal rate = 14.900625%
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For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
−66,5
Answers
Answer:
22+_3 because I don't know
If you use the amount of flour that was used on Day 4, how many
cups of flour will you use?
Answers
There's another silence as Steve looks toward the crowd and then toward Tommy. He wears a tight grin.
STEVE
Based on the clues in this passage, what will most likely happen next?
• The neighbors will stop doubting Tommy.
Well, I guess what we'd better do then is to run a check on the neighborhood and see which ones of us are really human.
• The neighbors will stop taking Steve seriously.
• The neighbors will continue to joke about the situation.
There's laughter at this, but it's a laughter that comes
from a desperate attempt to lighten the atmosphere. It's a • The neighbors will begin checking to see who is release kind of laugh.
really human.
36. GROUP SHOT - THE PEOPLE 36.
As they look at one another in the middle of their laughter.
-The Monsters Are Due on Maple Street,
Rod Serling
Answers
Answer:
5
Step-by-step explanation:
I will mark you brainiest!
What is the length of EF?
A) 2.4
B) 3.8
C) 0.5
D) 1.2
Answers
Answer: 2.4
Step-by-step explanation: Given the angles below, the length of EF will be 2.4
Answer:
B) 3.8.
EF = 3.8
Use the law of sines to find the unknown length EF
Solve x2 + 13x + 22 = 0 using the quadratic formula.
Answers
x^2 + 13x + 22 = 0
( x + 11 )( x + 2 ) = 0
x = - 11 Or x = - 2
Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution? (1 point)
Select one:
a. Divide both sides by 6 and then add 3. The solution is x = 5.
b. Add 6 to both sides of the equation and then divide by 3. The solution is x = 9.
c. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 8.
d. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 5.
Answers
Answer:
d
Step-by-step explanation:
3x+6=21
-6+21= 15
15÷3=5
Write the faction ration for each of the following.
If m
Answers
Answer:
\(\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0\)
Step-by-step explanation:
In any right triangle, the following is true:
The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)
The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)
Thus,
\(\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},\)
\(\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}\)
FILL IN THE BLANK there usually is some degree of variability in a sample (golfers do not use only titleist balls; students do not always eat at taco bell). the ________ is a measure of the variability in a sampling distribution.
Answers
The standard error is a measure of the variability in a sampling distribution.
The estimated standard deviation of a statistical sample population is known as the standard error (SE) of a statistic.
By utilizing standard deviation, the standard error is a statistical concept that assesses how well a sample distribution represents a population. In statistics, the difference between a sample mean and the population's actual mean is known as the standard error of the mean.
The term "standard error" is used to refer to the standard deviation of various sample statistics, such as the mean or median. For example, the "standard error of the mean" refers to the standard deviation of the distribution of sample means taken from a population. The smaller the standard error, the more representative the sample will be of the overall population.
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If y=x2? - 5, find f(-4).
A-9
B-21
O
C 11
D -13
Answers
y = x²-5
f(x) = x² - 5
f(-4) = (-4)² - 5
f(-4) = 16 - 5
f(-4) = 11
Answer : C.11give me brainliest pls hehe
Jesus loves you so much and he died for you. Trust in him and give your life to him, he will never fail you. Your worth so much in the eyes of God. Turn to him before it’s to late, it’s the best decision you will ever make. I love you and so does God❤️
Answers
The only god i know is time and truth! i worship him and whenever i do mistakes i apologise them :)