Answer: The volume of the tent is 293.33 ft.
Explanation: 11 x 10 x 8 = 880
The formula for the volume of a right rectangular pyramid is lwh/3.
880/3 = approximately 293.33
3/8 ÷ 2/3 and express the answer in simplest form
Answer: 9/16
Step-by-step explanation:
One spring day, Chloe noted the time of day and the temperature, in degrees Fahrenheit. Her findings are as follows: At 6 a.m., the temperature was 54° F. For the next 2 hours, the temperature rose 2° per hour. For the next 4 hours, it rose 3° per hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the temperature dropped 1° per hour. The temperature then dropped steadily until the temperature was 63° at midnight. On the set of axes below, graph Chloe's data.
The graph of Chloe's temperature of the day is plotted
Given data ,
To graph Chloe's data, we can use a line graph with time (in hours) on the x-axis and temperature (in degrees Fahrenheit) on the y-axis. Here is the graph:
The graph has five line segments:
From 6 a.m. to 8 a.m., the temperature rises from 54°F to 58°F. This is a line with a slope of 2/2 = 1, passing through the points (6, 54) and (8, 58).
From 8 a.m. to 12 p.m., the temperature rises from 58°F to 70°F. This is a line with a slope of 3/4, passing through the points (8, 58) and (12, 70).
From 12 p.m. to 2 p.m., the temperature stays at 70°F. This is a horizontal line passing through the point (12, 70).
From 2 p.m. to 4 p.m., the temperature drops from 70°F to 68°F. This is a line with a slope of -1/2, passing through the points (2, 70) and (4, 68).
From 4 p.m. to 12 a.m., the temperature drops from 68°F to 63°F. This is a line with a slope of -5/8, passing through the points (4, 68) and (12, 63).
Hence , the graph is plotted
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Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Hey there!
Formula: 1/2 * base * height = area
Equation: 1/2 * 6 * 8
Simplifying:
1/2 * 6 * 8
= 1/2 * 6/1 * 8/1
= 1 * 6 * 8 / 2 * 1 * 1
= 6 * 8 / 2 * 1
= 48 / 2
= 24
Therefore, your answer should be:
24 square units
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
A chocolate bar contains 6 grams of fat. If you eat no fewer than 5 and no more than 9 bars, how many grams of fat will you consume?
5 x 6 = 30
9 x 6 = 54
54 + 30 = 84
you would be intaking 84 grams of fat
You are tasked with analyzing a design that has been drawn for a bridge over an existing two-lane road. The arch over the road is in the shape of a half-ellipse that is 40 feet wide at the base of the arch and it is 15 feet tall at the center of the arch. The bridge must have a 13-foot clearance for vehicles on the road. The 22-foot-wide road is centered directly beneath the highest point of the arch. a) the semi-truck will NOT be able to pass under the bridge,so it is time to make an adjustment. You will need to modify the design of the bridge. Keep the arch shape as half an ellipse, and the base as 40 feet wide. You may adjust the bridge’s arch up to 18 feet above the center line of the two-lane road below, but no more than that because of restrictions concerning the road crossing over the bridge. Give a new equation for the ellipse that represents your modified design.
We are asked to determine the equation of an ellipse that has a base of 40 feet and a height of 18 feet. This can be visualized in the following diagram:
The general form of the equation of an ellipse is:
\(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)We have set the origin of the coordinate system to be in the middle of the ellipse. The value of "a" is the x-intercept of the ellipse and the value of "b" is the y-intercept of the ellipse. Therefore, the equation is:
\(\frac{x^2}{(20)^2}+\frac{y^2}{(9)^2}=1\)Now, we solve the squares:
\(\frac{x^2}{400}+\frac{y^2}{81}=1\)And thus we have determined the equation of the ellipse.
the equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. find the value of the card 25 years later.
Answer:
1.39
Step-by-step explanation:
\(5\cdot \left(1-0.05\right)^{25}=1.39\)
Answer:
$60.50
Step-by-step explanation:
i dont know I wouldnt trust it but think that's the answer I think
A rectangle has a length of x inches and a width 2 inches less than the length. If the dimensions were doubled, which expression best represents the area of the new rectangle in terms of x?.
The area of the new rectangle in terms of x is 4x^2 – 8x square inches. We can calculate it using rectangle area formula.
A rectangle has a length of x inches and a width 2 inches less than the length, so:
Length = x
Width = x-2
We can formulate the area is:
Length x Width
X(x-2) = x^2 – 2x
The new rectangle’s dimension is double from the first rectangle, so we can conclude:
Length : 2(x) = 2x
Width = 2(x-2) = 2x-4
So the area of the new rectangle is:
Length x Width
2x(2x-4) = 4x^2 – 8x
Hence the area of the new rectangle in terms of x is 4x^2 – 8x square inches
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How many degrees is arc PQ?
Answer:
Step-by-step explanation:
Arc PQ is 60°
Answer:
\(\boxed {\boxed {\sf Arc \ { PQ } = \ 60 \ degrees}}\)
Step-by-step explanation:
The angle that forms arc PQ is a central angle, because the angle's vertex is at the center of the circle.
According to arc-angle relationships, the measure of a central angle is equal to the arc.
Since the central angle is equal to 60 degrees, arc PQ is also equal to 60 degrees.
help its math lol please actually know the answer
Answer:
c
Step-by-step explanation:
The amount of money they get is 9n so it will be a multiple of 9, and it cannot be negative because there cannot be negative customers
why is the axis of action also called the 180-degree system?
The 180-degree system and the axis of action are fundamental principles of filmmaking that help create a cohesive and engaging visual experience for the viewer.
The axis of action is a fundamental principle in film and video production, which is used to ensure that the continuity of a scene is maintained and that the viewer's spatial orientation is not disrupted.
It is also known as the 180-degree system because it is based on a visual guideline that involves maintaining a consistent spatial relationship between the camera and the subjects within the scene.
The 180-degree system establishes an imaginary line, also known as the axis of action, between two subjects or objects in a scene. The camera is then positioned on one side of this line, and the subjects are positioned on the other side, allowing the viewer to maintain their spatial orientation throughout the scene.
By maintaining a consistent axis of action, filmmakers can avoid disorienting the viewer and maintain continuity throughout the scene. This technique is especially important in dialogue scenes where the interaction between characters is a critical component of the story.
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which term describes the percent of voters casting ballots?
The term which is used for describing the number of voters who casted their votes using the ballots is called as voter turnout.
The process of selecting a candidate for a suitable post who takes care of the policies which will be framed for the people is called as voting. In this process, the members/ citizens casts their vote in the favor of their suitable candidate. Many times voters are not valid and their votes are considered as null and void.
The voter turnout is either the percentage of registered voters, eligible voters, or all voting-age people ( this varies from place to place depending upon the minimum voting age required). The voter turnout is also referred to the number of people who go to it or take part in it. High voter turnout is generally considered a sign of a healthy democracy.
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Pleaseee helpp!!
Jack manages a café. Each day he buys watermelons and mangoes in the (respective) ratio of 3:2. If on one day he buys 200 mangoes how many water melons would he have bought?
Answer:
300 watermelons
Step-by-step explanation:
3:2 ratio
3 is water melons and 2 is mangoes.
200 mangoes were purchased.
200/2=100
The unit rate is 100, so multiply 3 by 100, which is 300.
So Jack bought 300 watermelons, and 298 of which will be devoured by yours truly.
---
hope it helps
Which type of function is most likely the best-fit curve for the scatter plot?
Look at the photo
Math Solve the equation:-
Answer:
y = -27
Step-by-step explanation:
Multiply the entire equation by 6\(\sf 6*\dfrac{y+1}{3}-6*\dfrac{3y-1}{6}=6*5\\\\\\\)
2*(y + 1) - (3y - 1 ) = 30
Multiply (y +1) by 2 and (3y - 1) by (-1)2y + 2 - 3y + 1 = 30
Isolate y term by taking the constant term to RHS2y - 3y = 30 - 2 - 1
Combine like terms-y = 27
y = -27
Hello !
Answer:
\(\Large \boxed{\sf y=-27}\)
Step-by-step explanation:
We want to find the value of y that satisfies the following equation :
\(\sf \dfrac{y+1}{3} -\dfrac{3y-1}{6} =5\)
First, multiply both sides by 6 :
\(\sf 6(\sf \dfrac{y+1}{3} -\dfrac{3y-1}{6}) =6\times5\)
Now let's expand the left side :
\(\sf 2y+2-(3y-1)=30\)
Combine like terms :
\(\sf -y+3=30\)
Now let's substract 3 from both sides :
\(-\sf y+3-3=30-3\\-y=27\)
Finally, let's multiply both sides by -1 :
\(\boxed{\sf y=-27}\)
Have a nice day ;)
Which are solutions of the linear equation?
Select all that apply.
3x + y = -10
Answer:
3x + y = -10
y = -3x-10
Answer:
Ans is in the attachment
Plz mark as brainliest
Hope it helps :)
he neighborhood of 1250 people has 30 city blocks. each block is $\frac{1}{16}$ mile long by $\frac{1}{8}$ mile wide. find the population density of the neighborhood in people per square mile.
The population density of the neighborhood of 1250 people in people per square mile is 1534 people per square mile
What is the population density?Population density is the number of people per unit area of a location.
The population density is the number of people per square mile in the neighborhood
The population of the neighborhood = 1,250 people
The number of city blocks in the neighborhood = 30
The length of each city block = (1/16) mile
The width of each neighborhood = (1/8) mile
The area of each neighborhood = (1/16) × (1/8) = 1/128 square miles
The area of the whole neighborhood = 30 × 1/128 = 15/64 square miles
The population density = 1250/(15/64) = 16,000/3 ≈ 5334 people per square mile (rounding up)
The number of people per square mile, the population density, therefore is 5333 people per square mile
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Can someone please help me with b?
Answer:
x = -π/2, π/6, 5π/6
Step-by-step explanation:
You are given a quadratic equation in sin(x) and cos(x) and asked for the values of x that make it true. The domain of interest is given.
Trig identityThe trig identity ...
cos(x)² = 1 -sin(x)²
is useful for turning this equation into a quadratic in sin(x). Making use of it, the equation becomes ...
1 -sin(x)² -sin(x)² = sin(x)
SolutionSubtracting the left-side expression from both sides gives the standard-form equation ...
2sin(x)² +sin(x) -1 = 0
Factoring this equation, we have ...
(2sin(x) -1)(sin(x) +1) = 0
The values of x that make these factors zero are ...
2sin(x) -1 = 0 ⇒ sin(x) = 1/2 ⇒ x = π/6 or 5π/6
sin(x) +1 = 0 ⇒ sin(x) = -1 ⇒ x = -π/2
__
Additional comment
Sometimes the quadratic nature of the equation is easier to see if you make a substitution for the trig function.
sin(x) = z ⇒ 2z² +z -1 = 0 ⇒ (2z -1)(z +1) = 0 ⇒ z = 1/2 or -1
At this point, you need to find the values of x that correspond to these values of z. (In short, you're not quite done yet when you find the solutions for z.)
who's faster a dog or a fish plz help me
Answer:
fish
Step-by-step explanation:
Please help me solve problems a - d.
By defining and solving systems of equations, we will see that:
a) the fraction is 40/56
d) the fraction is 15/21.
How to write the equations?
We have the fraction 5/7 and we want to write it in different ways.
a) First we want to find a number a/b such that:
a/b = 5/7
a + b = 96
This is a little system of equations, to solve this, first we can rewrite the first equation as:
7a = 5b
Now we can isolate a on the second equation:
a = 96 - b
And replace that on the other equation:
7*(96 - b) = 5b
And now we can solve this for b.
672 - 7b = 5b
672 = 5b + 7b = 12b
672/12 = b = 56
And we know that:
a = 96 - b = 96 - 56 = 40
Then the fraction is 40/56
d) This time we want the denominator to be 9 less than twice the numerator.
in a/b, a is the numerator and b is the denominator.
So this time we have:
a/b = 5/7
b = 2a - 9
We can rewrite the first equation again:
7a = 5b
And then replace the other equation in the right side:
7a = 5*(2a - 9)
And now solve this for a.
7a = 10a - 45
45 = 10a - 7a = 3a
45/3 = a = 15.
And:
b = 2a - 9 = 2*15 - 9 = 21
Then the fraction is 15/21.
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The box and whisker plot shows the test scores of
23 students in a class.
Use the box and whisker plot
to answer the question.
Student Test Scores
What was the highest score
that a student got on the
test?
+
40
30
50
60
70
80
90
100
A. 90
B. 38
Student Test Scores:
38, 61, 62, 66, 68, 68, 72, 75, 75, 75, 78, 80, 82,
84, 88, 88, 88, 88, 90, 92, 94, 96, 100
C. 88
D. 100
Answer: The highest test score was 100
Step-by-step explanation: 100 is the highest test score.
Which expression described a correct to find the missing number
Answer:
c
Step-by-step explanation:
it's 12x2 divided by 3
Answer:
c multiply by 2 divide by 3
Step-by-step explanation:
think of 12 as 12/1
multiply the numbers
it will be 24/3
divide
you get 8
A formula for the perimeter of a rectangle is P=2l+2w
a. Solve the formula for w = _____
Use the new formula to find the width w (in meters) of a rectangle with a perimeter of 2 meters and a length of 40 centimeters. w= ___ m
(04.05 MC)
Eric measured the height of a window frame as 5.43 feet, but the actual height was 6 feet. What is the percentage of error in Eric's measurement?
Answer:
9.50%
Step-by-step explanation:
You want to set up the formula which is Exact-Approximate/Exact.
So your set up should be 6.00-5.43/6.00. Subtract the top hich should get you 0.57 and then divide by 6.00.
In the end you should've gotten 0.095. You want to make sure you place the decimals i the right area, but just by looking at your quotient, you should have figured out that the answer's 9.50%.
All in all your final correct answer will be 9.50%. Please tell me if I'm incorrect.
Thank You For Your Time!
Calculate the area of the quarter circle estimate using 3.14 for pi
(Please do say click this link for the answer and I didn’t mean to click that answer)
The area of the quarter circle with radius 3ft is \(7.065 ft^2\)
Area of a quarter circle is given by the formula:
\(Area = \frac{\pi r^2}{4}\)
Where r represents the radius of the circle
In the quarter circle shown, the radius, r = 3 feet
π = 3.14
Substitute π = 3.14 and r = 3 into the formula \(Area = \frac{\pi r^2}{4}\)
\(Area = \frac{3.14 \times 3^2}{4}\\\\Area = \frac{3.14 \times 9}{4}\\\\Area = \frac{28.26}{4}\\\\Area = 7.065 ft^2\)
The area of the quarter circle with radius 3ft is \(7.065 ft^2\)
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Alice invests some money at an annually compounded interest rate of r%. Bob invests the same amount at a simple interest rate of s%. If their investsments are worth the same after 10 years, then which of their investments is worth more after 11 years?
What is Compound Interest rate?
Compound interest is interest on interest. This is the addition of interest to the principal amount of the loan or deposit. It is created by reinvesting interest instead of paying it out. In the next period, the principal plus the previously accrued interest accrues interest.
Alice invests some money at an annually compounded interest rate of r%. Bob invests the same amount at a simple interest rate of s%. If their investsments are worth the same after 10 years, then which of their investments is worth more after 11 years?
ChatGPT
To compare the worth of Alice's and Bob's investments after 11 years, we need to consider the formulas for compound interest and simple interest.
Compound Interest Formula:
A = P(1 + r/100)^n
Simple Interest Formula:
A = P(1 + s/100 * n)
Where:
A is the final amount
P is the principal amount (initial investment)
r is the annual compound interest rate
s is the annual simple interest rate
n is the number of years
Given that their investments are worth the same after 10 years, we can equate the final amounts for Alice and Bob:
For Alice:
A_Alice = P(1 + r/100)^10
For Bob:
A_Bob = P(1 + s/100 * 10)
To compare the worth of their investments after 11 years, we need to calculate the final amounts for Alice and Bob after 11 years:
For Alice:
A_Alice_11 = P(1 + r/100)^11
For Bob:
A_Bob_11 = P(1 + s/100 * 11)
To determine which investment is worth more after 11 years, we need to compare A_Alice_11 and A_Bob_11. However, without knowing the specific values of r and s, we cannot determine which investment is worth more after 11 years. The comparison depends on the specific interest rates chosen by Alice and Bob.
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How do you find the scale factor given a center of dilation an image and a Preimage?
STEPS to find the find the scale factor given a center of dilation an image and a Preimage are given below
What is Scale factor, pre-image and dilation?
Dilation: A dilation is a stretch or a contraction in a figure or point's size and placement.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.
Scale Factor: In a dilatation, the scale factor refers to how much the figure is enlarged or contracted.
Step 1:
By comparing the length of one side of the pre-image to the corresponding side of the post-image, one may determine the dilation scale factor. The pre-image must be multiplied by the scaling factor to equal the post-image. If the side of the pre-image is the length of \(lpre\)and the length of the corresponding side of the post-image is \(lpost\),
, then the scale factor is given by k in the equation = \(lpre\) \(k\)=\(lpost\).
We can solve for k algebraically.
Step 2:-
Choose a matching group of spots on the pre-image and picture. the main point
(x1,y1) being the focal point of the pre-image (x2,y2) be the Centre of the enlarged picture.
By resolving the following two equations, you may get the coordinates of the Centre of dilation,
Step 3:-
Find the coordinate of center of dilation,
\(x_{0}=\frac{kx1 - x2}{k-1} \\\\y_{0}=\frac{ky1 - y2}{k -1}\)
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help me find the perimeter please:)
Answer:
79.2 cm
Step-by-step explanation:
Add up all the lengths of all of the sides of the figure:
16.2 + 7.5 + 7.5 + 18 + 18 + 12 = 79.2
Answer:
79.2 m
Step-by-step explanation:
Well since all the units are the same and you have already labeled the missing/ congruent sides. Just add up all the sides and you’d end up with 79.2
Find te slope of the graph
Answer:
It is d. 3/2
Step-by-step explanation:
slope formula is rise over run or x2-x1/y2-y1. So it would be 6-0/4-0. That equals 6/4. You just need to simplify that by dividing both 6 and 4 by 2 and you get 3/2.
Find the image of the set S under the given transformation.
S = {(u, v) |o≤u≤3,0≤v≤2}; x = 2u + 3v, y = u-v
Under the given transformation, the image of the set S = {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 2} is the set {(x, y) | 0 ≤ x ≤ 12, -2 ≤ y ≤ 3}.
To find the image of the set S under the given transformation, we substitute the bounds of S into the equations for x and y and determine the resulting range of values.
The set S is defined as {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 2}. We will find the image of each boundary point and then determine the range of values for the transformed set.
For u = 0 and v = 0:
x = 2(0) + 3(0) = 0
y = 0 - 0 = 0
The point (0, 0) is transformed to (0, 0).
For u = 3 and v = 0:
x = 2(3) + 3(0) = 6
y = 3 - 0 = 3
The point (3, 0) is transformed to (6, 3).
For u = 0 and v = 2:
x = 2(0) + 3(2) = 6
y = 0 - 2 = -2
The point (0, 2) is transformed to (6, -2).
For u = 3 and v = 2:
x = 2(3) + 3(2) = 12
y = 3 - 2 = 1
The point (3, 2) is transformed to (12, 1).
Now, let's consider the range of transformed points for the x and y coordinates.
For the x-coordinate, we observe that the minimum value is 0 (from point 1) and the maximum value is 12 (from point 4). Therefore, the range of x is [0, 12].
For the y-coordinate, we observe that the minimum value is -2 (from point 3) and the maximum value is 3 (from point 2). Therefore, the range of y is [-2, 3].
Combining the ranges of x and y, we have the image of set S as:
{(x, y) | 0 ≤ x ≤ 12, -2 ≤ y ≤ 3}
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10) The surface of a swimming pool was 4 meters wide and 2 meters long. What is the perimeter of the surface?
Answer
the answer is 10
Step-by-step explanation