Answer:
875 ft^2
Step-by-step explanation:
If 5 goes to 25 then the scale factor is 5
35 ft^2 x 5 x 5 = 875 ft^2
Answer:
875 ft²
Step-by-step explanation:
Finding area of similar rectangles:
Scale factor = EF : AB
= 25 : 5
= 5 : 1
\(\sf \dfrac{Area \ of \ bigger \ rectangle}{Area \ of \ smaller \ rectangle}= (Scale \ factor)^2\)
\(\dfrac{Area \ of \ bigger \ rectangle}{35} =\left(\dfrac{5}{1}\right)^2\)
\(\text{Area of bigger rectangle = $\dfrac{25}{1}*35$}\)
Area or rectangle EFGH = 875 ft²
You spin each spinner and flip a
coin. How many outcomes are
possible?
Answer:
10
Step-by-step explanation:
for E abs F its 2 possible. For the penny also two possible. And 6 for the spinner. Since you would count all the slices from the first two and add a 2 for the penny.
when choosing between one-tailed and two-tailed tests, group of answer choices use a two-tailed test only if you have a convincing reason for not predicting a direction. use the one that is most likely to produce significant results. use a one-tailed test only if you have a convincing reason for predicting the direction. always use two-tailed tests.
The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.
The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.
If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.
If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.
This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.
And is more conservative in its estimation of significance.
If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.
This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.
And is more powerful in detecting significant results in that specific direction.
Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.
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the base of a triangle is 2 feet greater in length than its height. If the area of the triangle is 40 square feet, find the length of the base and the height of the triangle.
Please answer question 2. Show work.
What is an equation of the line that passes through the points (2, -4) and (2,8)?
Answer:
x+y−6=0
Step-by-step explanation:
Explanation:
You can find the line by the following formula:
y
−
y
1
y
2
−
y
1
=
x
−
x
1
x
2
−
x
1
where
(
x
1
;
y
1
)
and
(
x
2
;
y
2
)
are the given points.
Then the line is:
y
−
4
8
−
4
=
x
−
2
−
2
−
2
y
−
4
4
=
x
−
2
−
4
y
−
4
=
−
x
+
2
x
+
y
−
6
=
0
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. You randomly select a marble from the bag, record the color, and then put that marble back in the bag. If you were to do this 200 times, how many times would you expect to pull out a blue marble?
Answer:
70
Step-by-step explanation:
We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.
This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.
plz help me asap I need help 1k point
Answer:
y=27
Step-by-step explanation:
Hello There!
The shown angles are alternate exterior angles
Alternate exterior angles are congruent so
3y+53=7y-55
step 1 add 55 to each side
-55+55 cancels out
53+55=108
now we have
3y+108=7y
step 2 subtract 3y from each side
7y-3y=4y
now we have
4y=108
step 3 divide each side by 4
4/4y=y
108/4=27
we're left with y = 27
Answer:
y = 27
Step-by-step explanation:
The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.
7y - 55 = 3y + 53
4y = 108
y = 27
Which of the following number lines depicts the solution to 4(x+1) > 16 + 7x?
9514 1404 393
Answer:
b) x < -4
Step-by-step explanation:
Eliminate parentheses and you have ...
4x +4 > 16 +7x
-12 > 3x . . . . . . . . subtract 4x+16
-4 > x . . . . . . . . divide by 3
The number line will have an open circle at -4 and be shaded to the left. The pictures are a bit fuzzy, but we think choice B has that description.
A growing animal gained pound. Write a igned number to repreent thi weight change
The growing animal gained a weight of +1 pound.
A positive signed number is used to represent a gain or increase in something, while a negative signed number is used to represent a loss or decrease. In this case, the growing animal gained weight, so a positive signed number should be used to represent the weight change.
The number +1 is a positive number that represents an increase of 1 unit. Therefore, +1 pound would be the appropriate signed number to represent the weight change of the growing animal.
It's important to note that the plus sign is not always necessary when writing a positive number, as the positive sign is implied when no sign is present. However, in cases where the signed number might be confused with a different quantity (such as a weight), it can be helpful to include the plus sign to make the meaning clear.
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FIND THE MEASUREMENT FOR RS PLEASE!!!!
Using the equations for trapezoids:
VW = 1/2(RS + UT)
3x+5 = 1/2(2x+15 + 6x-37)
Do inside parenthesis first:
3x+5 = 1/2(8x -22)
Multiply inside the parenthesis by 1/2:
3x+5 = 4x-11
Add 11 to both sides:
3x +16 = 4x
Subtract 3x from both sides:
16 = x
Now you know x = 16 solve for RS:
2(16) + 15 = 32 +15 = 47
RS = 47
How do I get the exact value of sin 480?
Step 1
Remove full rotations of 360 degrees until the angle is between 0 and 360 degrees
\(480-360=120^o\)Step 2
Hence, we find sin 120 using reference angles in the first quadrant
\(\begin{gathered} \sin \text{ 60=}\frac{\sqrt[]{3}}{2} \\ \text{Hence} \\ \sin 120=\frac{\sqrt[]{3}}{2} \end{gathered}\)Therefore,
\(\begin{gathered} \sin 480=\sin 120=\sin 60=\frac{\sqrt[]{3}}{2} \\ \sin \text{ 480=}\frac{\sqrt[]{3}}{2} \end{gathered}\)Answer sin 480 =(√3)/2
Alice is willing to spend $30 on a pair of jeans, and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Jeff finds some steaks for $16 for which he would have been willing to pay $20. The butcher notices the meat is near the expiration Jeffs surplus: date and gives him an extra 75% off.
Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
Let's calculate the final amount paid by Alice and Jeff for their purchases.
Alice:
Alice has a budget of $30 for a pair of jeans, and a coupon for $10 off.The price of the jeans she selects is $35 before the coupon.To find the final price she paid, we need to subtract the coupon discount from the original price of the jeans: $35 - $10 = $25.So Alice paid $25 for her pair of jeans.Jeff:
Jeff finds a pack of steaks for $16 and is willing to pay up to $20.This means he has a surplus of $20 - $16 = $4 that he is willing to spend on the steaks.The butcher notices the meat is near the expiration date and gives Jeff an extra 75% off.To calculate the discount, we first need to find 75% of the original price: 0.75 * $16 = $12.So Jeff gets a discount of $12, and the final price he paid is the original price minus the discount: $16 - $12 = $4.Therefore, Jeff paid $4 for the steaks.So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
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for which of the following functions is the chain rule an appropriate method to find the derivative with respect to x ? y
f′(x)=ex,g′(x)=cosx,h′(x)=2x, thus, the result is esinx2⋅cosx2⋅2x.
What is differentiation ?Using differentiated education in your classroom has a lot of advantages. With consideration for each student's unique needs, differentiation aims to maximize learning for all children. Following that thought, the following are some benefits of differentiation in the classroom:
It accommodates diversity. For instance, it's crucial that students with disabilities in your class feel included and supported on an equal basis with everyone else. This can entail modifying your classroom's design, giving them modified resources, and making sure everyone can participate in activities.
Students have more energy for learning. Every youngster is different, with their own passions and interests. Why not benefit from that? Additionally, differentiation.
According to our question-
Use the chain rule,
(f(g(x))′=f′(g(x))g′(x)
For three functions,
(f(g(h(x))))′=f′(g(h(x)))g′(h(x))h′(x)
Set f(x)=ex,g(x)=sinx,h(x)=x2
if this e is the well-known Euler' constant then lne=1 and you get
y′=2xcos(x2)esin(x2)
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.
A rectangle’s length is 9 more than 4 times its width. The area of the rectangle is 90 square inches. What is the width of the rectangle?
Answer:
15/4 in or 3.75 in
Step-by-step explanation:
Find your equations:
L = 4w + 9 in
A = L*w = 90 in^2
Substitute L:
L*w = 90 in^2 <-- L = 4w + 9
(4w + 9in)w = 90 in^2
4w^2 in^2 + 9w in = 90in^2
Solve Simultaneously:
w = -6 in, 15/4 in
Width is positive so it is 15/4 in or 3.75 in.
Double check:
(4w + 9in)w = 90 in^2
(4*3.75in + 9in)(3.75in) = 90 in^2
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A baseball team plays the same opponent six times in a season. The set {0,1,2,3,4,5,6} describes the possible number of wins for the six games.
Set A contains the number of wins when exactly four games are won.
Set B contains the number of wins when at least four games are won.
Which of these statements are true? Choose all that are correct.
The union of set A and B is an empty set
The complement of the union of set A and B is {0,1,2,3} set A
The complement of set B is {0,1,2,3}
The intersection of set A and set B is an empty set
The complement of set B is {1,2,3}
The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 190 380 570
Create a description in words for the table.
Following is a description of the proportionate relationship in the table:
The number of hours spent exercising determines the quantity of calories expended. 190 calories are burned after a one-hour workout, and 380 calories are burned during a two-hour workout.
What does "proportional relationship" mean?The definition of a proportionate relationship is as follows:
y = kx.
where k is the proportionality constant.
The following are the factors for this issue:
Number of hours to enter.
Calorie burned as an output.
Because of this, the constant is stated as k = 570/3 = 380/2 = 190/1 = 190 calories burned per hour.
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The complete question is:
The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 190 380 570
Create a description in words for the table.
The number of calories burned is dependent on the number of hours working out. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned.
The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there are 380 calories burned.
The number of hours working out is dependent on the number of calories burned. For every 190-hour workout, there is 1 calorie burned, and for every 380-hour workout, there are 2 calories burned.
The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 190 calories burned, and for a two-hour workout, there
How do you find the base of a shape given the dimensions of the cross section?
Ex. An eight feet long plank has a cross section of two by three, what is the base?
Answer:
2
Step-by-step explanation:
The base of a shape can be found by measuring the width of the cross section. In the example you provided, the base of the plank is 2 feet.
Which expressions are equivalent to z + (z + 6)z+(z+6)z, plus, left parenthesis, z, plus, 6, right parenthesis ?
question- z+(z+6)=
Answer:
\(2(z+3)\)
Step-by-step explanation:
We are given that the expression
\(z+(z+6)\)
We have to find the expression which is equivalent to given expression.
\(z+z+6\)
To find the equivalent expression we will combine like terms
Now, combine like terms we get
\((z+z)+6\)
\(2z+6\)
By using the property
\(a+a+..+a(n times)=na\)
Therefore, the expression we get
\(2z+6\)
Now, taking common 2
\(2(z+3)\)
Hence, the expression which is equivalent to given expression is given by
\(2(z+3)\)
Which ordered pair is a solution for the equation y = 3x - 2?
Answer:
(2,4)
Step-by-step explanation:
Because
3(2) - 2=4
Ashley can ride her bicycle 15 miles in 2 hours. Ther are 60 minutes in 1 hour and there are 1,760 yard in 1 mile. How many yards does Ashley travel each minute ?
Answer:
440
Step-by-step explanation:
Answer:440
Step-by-step explanation:
a handicap parking space is required when more than how many parking spaces are provided in total...?
According to the Americans with Disabilities Act (ADA), when a parking lot or facility provides 25 or more total parking spaces, at least one of those spaces must be designated as a handicap parking space.
If the total number of spaces provided in the lot or facility falls between 26 and 50, then two of those spaces must be designated as handicap parking. For facilities with 51 to 75 total parking spaces, three handicap spaces are required. And so on, with the requirement increasing by one additional handicap parking space for every additional increment of 25 total parking spaces provided. It's important for businesses and organizations to adhere to these regulations in order to ensure accessibility for individuals with disabilities.
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An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is
Answer: 0.2
Step-by-step explanation:
The first hundred natural numbers are 1 to 100.
Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
So in the range, we have 20 multiples of 5.
Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.
we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:
P = 20/100 = 0.2
Determine the intercepts of the line.
Answer:
Hi!
The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).
Hope this helps!
xx gloriouspurpose xx
if a six sided die is tossed two times, the probability of obtaining two "4s" in a row is
Answer:
\(\frac{1}{36}\)
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
Using the multiplication rule, the required probability is \((1/6)^2=\frac{1}{36}\).
how to adding and subtracting polynomials worksheet ?
Adding and subtracting polynomials worksheets assist pupils in becoming acquainted with the idea of polynomial addition and subtraction.
Adding and subtracting polynomial worksheets provide pupils with a platform to access a variety of well-structured problems. Because these worksheets progress in complexity, they are simple to use and allow pupils to reinforce their concepts.
Children must study in accordance with their learning curve, and these worksheets are designed to allow young brains to work at their own speed. These math worksheets also address the logical and reasoning aspects of arithmetic, assisting pupils in real-life situations.
Students may have a better grasp and explore these worksheets more quickly with the aid of pictures. These worksheets' step-by-step approach helps pupils better comprehend ideas and reinforce their comprehension.
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A right circular cylinder has a height of 2214 ft and a diameter 225 times its height. What is the volume of the cylinder? Enter your answer as a decimal in the box. Use 3. 14 for pi and round only your final answer to the nearest hundredth. Ft³.
The volume of the cylinder depends on its radius and height. The volume of the cylinder is 49806.05 ft3.
What is the volume of the cylinder?The volume of the cylinder is defined as the three-dimensional space occupied by a cylinder.
Given that the height h of the cylinder is 22 1/4 ft. The diameter d of the cylinder is 2 2/5 times its height.
h = 22 1\4 ft = 89/4 ft
The diameter of the cylinder is calculated as given below.
\(d = \dfrac {12}{5} \times h\)
\(d = \dfrac {12}{5} \times \dfrac {89}{4}\)
\(d = 53.4 \;\rm ft\)
The radius of the cylinder is given below.
\(r = \dfrac {d}{2}\)
\(r = \dfrac { 53.4}{2}\)
\(r = 26.7 \;\rm ft\)
The volume of the cylinder is calculated as given below.
\(V = \pi r^2 h\)
\(V = 3.14 \times (26.7)^2 \times \dfrac {89}{4}\)
\(V = 49806.05 \;\rm ft^3\)
Hence we can conclude that the volume of the cylinder is 49806.05 ft3.
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The question is: The law of formation is 2(n - 1)², in which N is a number i natural bigger then 1.
Given data,
The law of formation is 2(n - 1)², in which N is a number is natural bigger then 1.
So,
We can write,
2(n - 1)² ≤ n!
True when n=1,
since 2^0 ≤ 1^1 (1=1)
Assume true for n
That is, 2^(n-1) ≤ n!
When n increases to n+1 then L.H.S.
= 2^n
= 2.2^(n-1)
≤2.n! (using our assumption)
and 2.n! is smaller than (n+1)!
That is, 2^n ≤ (n+1)!
So,
If it works for n also works for n+1.
But it works for 1 so must work for 2 and hence for 3 etc. Must work for all n.
Therefore,
The law of formation is 2(n - 1)² ≤ n! is True.
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Solve 17 < 5x – 8 < 22. How many integer solutions are there?
Answer:
0
Step-by-step explanation:
To find the number of integer solutions there are to the inequality, we need to separate \(x\) so it is on its own.
\(17<5x-8 < 22\) (given inequality)
\(25 < 5x < 30\) (add \(8\) )
\(5 < x < 6\) (divide by \(5\) )
Since there are no integers between \(5\) and \(6\), it means there are 0 integer solutions for the inequality \(17 < 5x - 8 < 22\).
Hope this helps :)
Does this graph show a function? Explain how you know.
5
-5
-5
A. No; there are y-values that have more than one x-value.
B. No; the graph fails the vertical line test.
C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
Answer:
Option (C).
Step-by-step explanation:
To check a graph whether it's a function or not we use a vertical line test. In this test first we draw a vertical line on the given graph. If this line intersects the graph at more than one point, the graph is not a function.
In the given parabola, opening upwards passes the vertical line test.
Therefore, this graph shows a function.
Option (C) will be the answer.
Option (c) Yes; the graph passes the vertical line test. And
(d) Yes; there are no y-values that have more than one x-value are correct options. Hence, a given graph is a function.
This is a graph of \(y = x^2\)
Which is a graph of parabola.
To determine the given graph is a function or not, we do a vertical line test.
The vertical line test says that if a vertical line intersects a graph more than once, then that graph is not a function. And in this case, y-values have more than one x-values.
Let’s draw a vertical line in the given graph (attached below)
We see that the vertical line touches the graph only at once. That’s why it is a function, and so there are no y-values that have more than one x-value.
Hence, the given graph is a function and option (3) and (4) are correct options.
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What add this /6=25/30
Answer:5/6
Step-by-step explanation:
simplify