The volume of a rectangular pyramid is 1020 units. If the length of the rectangular
base measures 10 units and the width of the rectangular base measures 18 units, find
the height of the pyramid.

Interal angles sum: 180(3-2) = 180

6x + 2x + 40 + 2x + 40 = 180

10x + 80 = 180

10x = 100

x = 10

x(6) = 60

Your answer: 60

Answer:

9.6 calories/min

Step-by-step explanation:

Here Bryce burns 144 calories in 15 mins

Therefore, For each min value you need to:-  Divide the Total Number of calories by Total Time Taken

i.e. 144 calories / 15 min = 9.6 calories/min

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Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Answer:

when substituting x = -0.5, 0, and 1 into the equation, we get the results -8, -7, and -5, respectively.

Step-by-step explanation:

Part A:

To solve the equation 5 + x - 12 = 2x - 7, follow these steps:

Combine like terms on each side of the equation:

-7 + 5 + x - 12 = 2x - 7

-14 + x = 2x - 7

Simplify the equation by moving all terms containing x to one side:

x - 2x = -7 + 14

-x = 7

To isolate x, multiply both sides of the equation by -1:

(-1)(-x) = (-1)(7)

x = -7

Therefore, the solution to the equation is x = -7.

Part B:

Now let's substitute the given values of x and evaluate the equation:

For x = -0.5:

5 + (-0.5) - 12 = 2(-0.5) - 7

4.5 = -1 - 7

4.5 = -8

For x = 0:

5 + 0 - 12 = 2(0) - 7

-7 = -7

For x = 1:

5 + 1 - 12 = 2(1) - 7

-6 = -5

Answer:

Step-by-step explanation:

The angle of depression is the downward angle the air traffic controller

looks down from in the tower.  It also equals the angle of elevation which is the angle formed by the runway and the line of sight.

With this information you can find the remaining angle:

180 - (90 + 18)

180 - 108 = 72

Let Angle B = 72°

Angle A = 18°

Angle C =90°

We have one side - 140 feet - this is side a - it is across from angle A.

There is a right triangle formed by the runway (side b) the tower, side a, and the line of sight (side c)

Using the law of sines:

sin A/a = sinB/b

sin 18°/a = sin72°/b

.3090/140 = .9510/x

cross multiply and then divide

140 × .9510/.3090

133.14/.3090

430.873 ft

round to a tenth = 430.9 ft

The solution of the given expression is 9*\(x^{4}\)/100.

GIven an expression equal to 27\(x^{12}\)/300\(x^{8}\).

We have to simplify the expression in which variable comes only once.

Expression is combination of numbers ,symbols, fraction, coefficients, indeterminants,determinants, etc. It is mostly not found in equal to form. It expresses a relationship between variables.

The given fraction is 27\(x^{12}\)/300\(x^{8}\).

When we observe we find that in numerator x has large power and denominator x has small power as compared to power in numerator. So we will deduct the powers so that they will give only one power to us.

=27\(x^{4}\)/300

Now divide numerator an denominator by 3.

=9\(x^{4}\)/300

Hence the expression 27\(x^{12} /300x^{8}\) will look like \(9x^{4} /100\) after simplifying.

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Answer:

\(Simplify:\sqrt\frac{27x^{12} }{300x^{8} }\)

\(O \frac{9}{100}x^{4}\)

✔ \(\frac{3}{10} x^{2}\)

\(O \frac{27}{300} x^{4}\)

\(O\frac{9}{10} x^{2}\)

The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×\(\frac{22}{7}\)×14=88 feet.

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Answer:

5.40

Step-by-step explanation:

The formula to find the radius of a circle is:

r = c / (2π)

where c is the circumference of the circle and π is approximately 3.14159.

Substituting the given value, we get:

r = 34 / (2π)

r ≈ 5.40

Rounding to the nearest hundredth, the radius of the circle is approximately 5.40.

Answer:

which one is correct about HRM?

The cost of the order can be expressed as 7x + 5, where x is the number of t-shirts ordered.

In this expression, "7x" represents the cost of the t-shirts, where each shirt is $7 and the number of shirts is represented by "x". The "$5" represents the flat shipping fee for the entire order, which does not change regardless of the number of shirts being ordered.

By adding the cost of the shirts and the shipping fee, we can find the total cost of the order. It's important to understand that the value of "x" must be specified to evaluate the expression.

For example, if 3 shirts are ordered, then x = 3 and the expression becomes:

So the total cost of the order would be $26.

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Answer:

12/12

This is because you multiply the denominator and the numerator by 2 you get 12/12

Answer:

Any fraction with the same number as the numerator and denominator.

Step-by-step explanation:

There should be options for this question, but the answer would be any fraction that has the same number as the numerator and as the denominator, like 1/1, 2/2, 3/3, etc.  The fraction 6/6 is equal to 1, and so is every other fraction with identical numerators and denominators.  Hope this helps :)

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer:

F and H are both 121 degrees

Step-by-step explanation:

"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math

Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer:

Step-by-step explanation:

The answer is B

Answer:

a= 20

b= 169.7

c= 29.71

Step-by-step explanation:

The formula of a triangle is (h*b)/2

a= (5*8)/2

b= to find the height, you can use the pythagorean theorem 18^2 - 6^2 = square root of 288. Which is 12root 2 or 16.97. (16.97*20)/2

c= using the pythagorean theorem- 11^2 = 7^2 - c^2 = square root 73, or 6root 2, or 8.49. (8.49* 7)/2

Answer:

A) ∃y(¬P(y))

B) ∀y(P(y) ^ Q(y))

C) ∀y(P(y) ^ Q(y))

D) ¬∃y(P(y) ^ Q(y))

E) ∃y(¬P(y) ^ Q(y))

Step-by-step explanation:

We will use the following symbols to answer the question;

∀ means for all

∃ means there exists

¬ means "not"

^ means "and"

A) Something(y) is not in the correct place is represented by;

∃y(¬P(y))

B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).

Thus, we have;

∀y(P(y) ^ Q(y))

C) Similar to B above;

∀y(P(y) ^ Q(y))

D) For Nothing is in the correct place and is in excellent condition:

It can be expressed as;

¬∃y(P(y) ^ Q(y))

E) For One of your tools is not in the correct place, but it is in excellent condition:

It can be expressed as;

∃y(¬P(y) ^ Q(y))

Answer:

the answer 1.25

Step-by-step explanation:

i think sorry if im wrong.

90 divided by 72 = 1.25

Answer:

The answer is 1.25

Answer:

1. A

2. C

Step-by-step explanation:

The graph could be the graph of exponential function of option b)

\(F(x) = 2 • (0.5)^{x} \)

The general form of an exponential function is

\(f(x) = {ab}^{x} \)

Here, a is the function's starting value and b is its growth factor.

F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function

The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.

Given that the graph indicates that the function is decreasing, b must be less than 1.

It indicates that the necessary function is in the form of

\(f(x) = 2(b)^{x} \)

Where it is b<1

By checking option B, b=0.5<1. Hence, option B is the correct answer

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Note that the full question is:

(check the attached image)

The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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The difference between depths in January and July is 14 feets

The depth of a local river averages 16 ft., which is represented as |−16|.

In January,  The depth of a local river measured 4 ft. deep, or |−4|

in July, The depth of a local river  18 ft., or |−18|

The average depth of a local river  is measured as -16 because it is below the ground level and hence measured or plotted on -y axis

the difference between depths in January and July can be measured as

|−18| -  |−4|

This is absolute sign which means every number inside this sign should be treated as positive

18 - 4 = 14

Hence, the difference between depths in January and July is 14 feets

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Answer:

1/3

Step-by-step explanation:

i hope this helped !!!!!!!!!

1/6 fraction of bottle of lemonade will each friend gets.

A fraction represents a part of a whole.

Given,

Half a bottle of lemonade is shared between 3 friends .

Half means 1/2.

One divided by two is half.

This half is shared between three friends.

So we need to divide half by three of friends.

1/2/(3/1)

When a fraction is divided by another fraction, the denominator is multiplied as reciprocal to numerator.

1/2×1/3

1/6

Hence, 1/6 fraction of  bottle of lemonade will each friend gets.

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Answer:

10m The answer is D

Step-by-step explanation:

Answer:

Slope-intercept form:

\(y=\dfrac12x+\dfrac{13}2\)

Standard form:

\(x-2y=-13\)

Step-by-step explanation:

Point-slope form of a linear equation: \(y-y_1=m(x-x_1)\)

(where \(m\) is the slope and \((x_1,y_1)\) is the point)

Given:

Substituting these values into the point-slope formula:

\(\implies y-4=\dfrac12(x+5)\)

\(\implies y-4=\dfrac12x+\dfrac52\)

\(\implies y=\dfrac12x+\dfrac{13}2\)

Slope-intercept form:

\(y=\dfrac12x+\dfrac{13}2\)

Standard form:

\(x-2y=-13\)

Answer:

Carlotta needs 24 orange beads for her necklace.

Step-by-step explanation:

For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2

Total beads given to make a necklace is = 60

Let the number of orange beads be = x

The ratio is 2 orange beads out of 5 total beads

So, we can represent the ratio as:

x=24

Hence, Carlotta needs 24 orange beads for her necklace.

Blue beads needed =  

We can also check the ratio for blue beads to orange beads:

Divide by 4, we get

Divide by 3, we get

 ...... (the given ratio)

Therefore, Carlotta needs 24 orange beads for her necklace

Answer:

HEYO!! soo the answer is A!! I tried B like the other person said but i got it wrong! so its A!

Step-by-step explanation:

Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

Two or more expressions with an Equal sign is called as Equation.

Given that Mary bought \(10\frac{1}{2}\) pounds of turkey for a picnic.

There were \(4\frac{3}{4}\) pounds of turkey left after making 25 turkey sandwiches.

We need to find which statement will be true from the given options.

The solution we get by using the division process.

Division is nothing but splitting something to equal parts.

The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich is the true statement.

Hence, Option A is correct. The quotient −534÷25=−23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich.

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Answer:

If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!

Step-by-step explanation:

4x+5 = 2x+19

2x=14

x=7

4(7)+5+2(7)+19 = 42+24 = 66