Layla is making a square pyramid teepee outside a museum. She needs to know how much space she needs for the base of the teepee. Layla wants the teepee to be 9 feet tall. Determine the dimensions of the base of the teepee if the volume is 432 cubic feet.

Answer:

The answer is 2 6/8

Step-by-step explanation:

Answer:

21 - (8 x 2) = 5

We've now simplified 21/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 5/8

Answer:

$10579.49

Step-by-step explanation:

The formula for amount gotten after a period of time (in years) on a principal which is compounded continuously is given as:

\(A = P(1 + r)^t\)

where P = principal (amount borrowed)

r = interest rate

t = number of years

Peter accumulated $7,500 in credit card debt with interest rate as 3.5% per year and he does not make any payments for 10 years.

Therefore, his debt is:

\(A = 7500(1 + \frac{3.5}{100})^{10}\\ \\A = 7500 (1 + 0.035)^{10}\\\\A = 7500(1.035)^{10}\\\)

A = $10579.49

He will owe $10579.49 after 10 years

Answer:

A= $10,643.01

Step-by-step explanation:

if you are rounded to the nearest cent

Identify the values of each variable in the formula. Remember to express the percent as a decimal.

A=?

P= $7,500

r= 0.035

t= 10 years

For compounding continuously, use the formula A=Pert.

Substitute the values in the formula and compute the amount to find

A= 7,500e \(x^0.035.10\)\(x^{0.035.10}\)

A= $10,643.01

In the given diagram of circle O, we need to find various measurements. Let's consider the following measurements:

Diameter (d): The diameter of a circle is the distance across it, passing through the center. To find the diameter, we can measure the distance between any two points on the circle that pass through the center. Let's say we measure it as 12 units.

Radius (r): The radius of a circle is the distance from the center to any point on the circumference. It is half the length of the diameter. In this case, the radius would be 6 units (12 divided by 2).

Circumference (C): The circumference of a circle is the distance around it. It can be found using the formula C = 2πr, where π is approximately 3.14 and r is the radius. Using the radius of 6 units, we can calculate the circumference as C = 2 * 3.14 * 6 = 37.68 units. Rounding to the nearest whole number, the circumference is approximately 38 units.

Area (A): The area of a circle is the measure of the surface enclosed by it. It can be calculated using the formula A = πr^2. Substituting the radius of 6 units, we can find the area as A = 3.14 * 6^2 = 113.04 square units. Rounding to the nearest whole number, the area is approximately 113 square units.

In summary, for circle O, the diameter is 12 units, the radius is 6 units, the circumference is approximately 38 units, and the area is approximately 113 square units.

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Answer:

8 Hours

Step-by-step explanation:

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

\(\frac{220}{5}x=352\)

Multiply both sides by 5

\(220x=1760\)

Divide both sides by 220

\(x=8\)

Therefore it would take 8 hours.

8 Hours long would it take to travel 352 miles,

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined. The SI unit system is most frequently used to express speed units. In that system, since distance is measured in metres and time is measured in seconds, speed is expressed in metres per second, or m/s. Three components make up the speed formula: distance, time, and speed.

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

Multiply both sides by 5

Divide both sides by 220

Hence, it would take 8 hours.

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Answer:

The probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.

Step-by-step explanation:

Since a drawer contains only blue, black, and white socks, and there are 8 blue socks, 5 black socks, and 3 white socks, to determine the probability of selecting, without looking, a blue sock and then a blue, black or white sock the following calculations must be performed:

Blue = 8/16 x 7/15 = 0.5 x 0.46 = 0.2333

Black = 8/16 x 5/15 = 0.5 x 0.333 = 0.1666

White = 8/16 x 3/15 = 0.5 x 0.2 = 0.10

Therefore, the probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.

Answer:

x≤-0.5

Step-by-step explanation:

-48x-24≤0

-48x≤24

x≤-0.5

Answer:

(x + 5) /2

Step-by-step explanation:

"a number" (this will represent as "x")

"increased" another way to say add or "+"

then divided by 2

If you wrote it out like this "x+5/2"it would be wrong because of PEMDAS making you want to divide first instead of after.

The probability that the proportion of successes in a sample of 500 items and 200 items will be between 0.28 and 0.33 is approximately 0.826 and 0.972 respectively.


a. To calculate the probability that the proportion of successes in a sample of 500 items will be between 0.28 and 0.33, we use the z-score formula and the standard normal distribution. First, we calculate the z-scores for the lower and upper bounds:
Lower z-score = (0.28 – 0.30) / sqrt((0.30 * (1 – 0.30)) / 500)
Upper z-score = (0.33 – 0.30) / sqrt((0.30 * (1 – 0.30)) / 500)

Using these z-scores, we find the area under the normal curve between them, which represents the probability. The calculated probability is approximately 0.826.
b. Similarly, for a sample size of 200, we calculate the z-scores using the adjusted sample size in the denominator of the formula. The probability of the proportion of successes being between 0.28 and 0.33 is approximately 0.972. As the sample size decreases, the probability of observing a given proportion within a range becomes more certain.

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The midsegment is equal to the average of the lengths of the bases, so:

Where:

and

Therefore:

Answer:

90

Step-by-step explanation:

each dot = 45 bc 540 / how many dots there are which is 12 = 45 then there are 2 dots worth of 45 making it 90

math

540/12=45

45 x 2 = 90

Answer: 135 students

Step-by-step explanation:

1. Divide 540 (total number of students) by the number of dots (12)

2. So then 540/12= 45

3. Then see how many dots are more then 5 miles away so that is 3 dots (2dots on 6 miles, and 1 dot on 7 miles)

4. After 45*3= 135

The total surface area of the triangular prism is 636 square meters

From the question, we have the following parameters that can be used in our computation:

The triangular prism

The surface area of the triangular prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the triangular prism

Using the above as a guide, we have the following:

Area = 1/2 * 10 * 24 * 2 + 11 * 26 + 10 * 11

Evaluate

Area = 636

Hence, the surface area is 636 square meters

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Answer:

A I believe?

Step-by-step explanation:

Answer: $84

Steps:

70 * 10%

70 * 0.10 = $7 sales tax

70 * 10%

70 * 0.10 = $7 tip

$70 lunch cost + $7 sales tax + $7 tip = $84

We need to calculate the 8% of $45

The total charge will be

ANSWER

The total charge is $48.60

It sells twice as many kitten as lizards:

Kittens sold = 15 x 2 = 30 total kittens.

It sells 6 times the amount of fish:

Fish sold = 6 x 30 = 180 total fish.

Lizards = 15

Kittens = 30

Fish = 180

Answer:

They sell 225 pets each week.

Step-by-step explanation:

Let f be fish, k be kittens, and l be lizards.

\(f\)÷6=\(k\)

\(k\)÷2=\(l\)

If \(l=15\), then:

\(k=30\\f=180\)

180+30+15=225 pets

They sell 225 pets each week.

(I hope this isn't wrong but that answer seems wrong)

The volume of the prism ( above fig.) is equals to the 900 cubic units. So, first one option is right answer of this problem.

Prisms and pyramids are very important solid shapes. They have many uses in real life. Each type of pyramid or prism has different formulas for volume and area. The general formula of volume, V = Base area × Height

Here, we take the triangular part of the prism as the base. We have, a prism with triangular base.

Triangular base area = 1/2 × B × H

Base length of triangle, H = 15

Height of triangle, B = 8

Triangular base area = 1/2×15×8 = 60 square units

Volume of prism , V = 60 sq. units × 15 units

= 900 cubic units

Hence, the volume of prism is 900 cubic units.

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Answer:

A) c=3

Step-by-step explanation:

This question is asking you to find a quantity that makes the inequality true. For this is to be true the right side of the inequality must be less than 2.

A, c=3, satisfies the inequality because when 3 is plugged in for c the inequality becomes 2 > 3/3. This simplifies to 2 > 1, which is a true statement. The other constants do not satisfy the inequality

Answer:

y=2x

Step-by-step explanation:

y=mx+b

Slope/m:

(8-(-4))/(4-(-2)=12/6=2

Y-intercept or b:

0 because it passes through the point of origin

Check by Substituting:

8=2(4)

8=8

True

9514 1404 393

Answer:

Step-by-step explanation:

For l laps around a 1/4 mile track, the total distance is ...

  l×(1/4)

After adding 2 1/2 miles to that, Gabriella's total distance was 4 miles:

  l×(1/4) +(2 1/2) = 4 . . . . an equation to find l

__

We can solve this equation by subtracting 2 1/2, then multiplying by 4.

  l×(1/4) = 1 1/2

  l = 4(1 1/2)

  l = 6

Gabriella ran 6 laps on the track.

Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

The mean of sample mean for sample size of 10 is e. 3.05.

To find the mean of sample means for a sample size of 10 from a normally distributed population with mean 30.5 and standard deviation 3.5, we use the formula:

mean of sample means = population mean = 30.5

So the answer is not affected by the sample size or standard deviation. The mean of the sample means will always be equal to the population mean.

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We must combine the numerators and denominators together in order to find the product of rational expressions. Here are the facts: The correct option is B

What is rational expressions?

(2/(2x + 3)) * (9/x)

The product of the numerators is 2 * 9 = 18.

The product of the denominators is (2x + 3) * x = 2x^2 + 3x.

Therefore, the product of the rational expressions is:

\(18 / (2x^2 + 3x)\)

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The length of the required chord is approximately equal to 11.8 units.

In Mathematics and Geometry, the chord of a circle refers to a line segment that typically join any two (2) points on a circle.

Based on the equation of the circle, the radius can be determined as follows;

x² + y² = 36

Radius, r = √36

Radius, r = 6 units.

By applying Pythagorean's theorem, side OA can be calculated as follows;

6² - 1² = OA²

OA² = 36 - 1

OA = √35

OA = 5.9

Length of chord = 2 × OA

Length of chord = 2 × 5.9

Length of chord = 11.8 units.

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Answer:

\(\sqrt{15.76}\)

Step-by-step explanation:

\(\sqrt{9.6230 \frac{2.340}{5.310}3.721 }\)

Lets solve the fraction first

\(\frac{2.340}{5.310} =0.44\)

9.6230 x 0.44 = 4.23

4.23 x 3.721 = 15.76

\(\sqrt{15.76}\)

Answer:

rectangle

6 faces

12 edges

8 vertices

10ft height

hope this helps

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

To find the counterclockwise circulation of the vector field C around the triangle with vertices (0, 0), (1, 0), and (1, 4), we can break it down into three line integrals along each side of the triangle.

1. Line integral along the line segment from (0, 0) to (1, 0):

We parameterize this line segment as r(t) = (t, 0) for t ranging from 0 to 1.
The differential vector dr(t) = (dt, 0).

The circulation along this line segment can be calculated as:

C1 = ∫C F · dr = ∫[from 0 to 1] (xy dx + x²y³ dy) · (dt, 0) = ∫[from 0 to 1] (t * 0) dt = 0.

2. Line integral along the line segment from (1, 0) to (1, 4):

We parameterize this line segment as r(t) = (1, t) for t ranging from 0 to 4.

The differential vector dr(t) = (0, dt).

The circulation along this line segment can be calculated as:

C2 = ∫C F · dr = ∫[from 0 to 4] (xy dx + x²y³ dy) · (0, dt) = ∫[from 0 to 4] (0 + t⁴) dt = ∫[from 0 to 4] t⁴ dt = (1/5) * t⁵ [from 0 to 4] = (1/5) * (4⁵) = 102.4.

3. Line integral along the line segment from (1, 4) to (0, 0):

We parameterize this line segment as r(t) = (1 - t, 4 - 4t) for t ranging from 0 to 1.

The differential vector dr(t) = (-dt, -4dt).

The circulation along this line segment can be calculated as:

C3 = ∫C F · dr = ∫[from 0 to 1] (xy dx + x²y³ dy) · (-dt, -4dt) = ∫[from 0 to 1] (-t(1 - t) dt - (1 - t)²(4 - 4t)³ * 4dt) = ∫[from 0 to 1] (-t + t² - 4(1 - t)²(4 - 4t)³) dt.

To calculate C, we need to add up C1, C2, and C3:
C = C1 + C2 + C3 = 0 + 102.4 + ∫[from 0 to 1] (-t + t² - 4(1 - t)²(4 - 4t)³) dt.

To find the final value of C, we need to evaluate the remaining integral..

However, since the integrand involves higher powers and nested functions, it might not have a simple closed-form solution.

You can evaluate the integral using numerical methods or a computer algebra system for a more precise result.

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The line integral of $C$ over the given triangle is $2 + \frac{16}{5} + \frac{64}{7}$.

The line integral of $C$ over the given triangle is equal to the integral of the function $Cxy\,dx + x^2y^3\,dy$ over the curve $C$, where $C$ represents the counterclockwise path around the triangle with vertices $(0, 0)$, $(1, 0)$, and $(1, 4)$.

To evaluate this line integral, we need to parametrize the curve $C$. Since $C$ is a triangle, we can split it into three line segments.

First, let's consider the line segment from $(0, 0)$ to $(1, 0)$. We can parametrize this segment as $x = t$ and $y = 0$, where $t$ ranges from 0 to 1.

Next, we have the line segment from $(1, 0)$ to $(1, 4)$. We can parametrize this segment as $x = 1$ and $y = 4t$, where $t$ ranges from 0 to 1.

Finally, we consider the line segment from $(1, 4)$ to $(0, 0)$. We can parametrize this segment as $x = 1 - t$ and $y = 4(1 - t)$, where $t$ ranges from 0 to 1.

Now, we can substitute these parametric equations into the line integral expression:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = \int_{0}^{1} (t)(0)\,dt + (t^2)(0)^3(0)\,dt + \int_{0}^{1} (1)(4t)\,dt + (1^2)(4t)^3\,dt + \int_{0}^{1} (1 - t)(4(1 - t))\,dt + (1 - t)^2(4(1 - t))^3\,dt\]

Simplifying this expression, we get:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = \int_{0}^{1} 4t\,dt + \int_{0}^{1} 64t^3\,dt + \int_{0}^{1} 4(1 - t)(1 - t)^2(4(1 - t))^3\,dt\]

Evaluating each integral, we find:

\[\int_{C} Cxy\,dx + x^2y^3\,dy = 2 + \frac{16}{5} + \frac{64}{7}\]

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Answer:

I can't tell what it says so I can't solve it

Answer:

I can't tell what that is , sorry