The measures of the angles of a triangle are 55°, 25, and 100°. What is the measure of the largest exterior angle
of the triangle
180°
155°
80°

125

The volume of the pyramid is 576 cubic inches.

To find the volume of a square base pyramid, you can use the formula:

Volume = (1/3) x base area x height

In this case, the side of the square base is given as 12 inches, and the height is given as 12.5 inches.

First, calculate the base area of the pyramid:

Base area = side²

= 12²

= 144 square inches

Now, substitute the values into the volume formula:

Volume = (1/3) x 144 x 12.5

Volume = 576 cubic inches

Therefore, the volume of the pyramid is 576 cubic inches.

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The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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There are 15 cats in the animal shelter.

An equation in which is  the highest power of to the  variables 1 is knowns as the  linear equation. Mathematically: it is an  algebraic equations that can be also  written in the form of  ax + b = 0 or ax + by + c = 0, where a, b and c are definitely real numbers and x and y are variables with the highest power one.
In order to solve this problem, we must set up a proportion. Proportions are an equation that states that two ratios are equal. In this case, we are looking for the number of cats (c) in the animal shelter.

Let's set up the proportion.

5/3 = 25/c

We can then solve for c by multiplying both sides by c.

5c/3 = 25

c = 15

Therefore, there are 15 cats in the animal shelter.

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A) horizontal asymptote: y = 7 B) vertical asymptote: x = -4, 5 is the required answers for horizontal and vertical asymptotes of the curve.

The horizontal asymptote of a curve is a horizontal line that the curve approaches as x approaches infinity or negative infinity. The vertical asymptote of a curve is a vertical line that the curve approaches but never crosses as x approaches a certain value. In this case, the horizontal asymptote is found by letting x approach infinity in the fraction and observing what the value of y approaches. In the limit as x approaches infinity, the x^2 term dominates and thus y approaches 7, which is the horizontal asymptote. To find the vertical asymptote, we find the values of x where the denominator equals 0 and the numerator is not equal to 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5. Thus, the vertical asymptotes are x = -4 and x = 5. To find the vertical asymptotes, we look for the values of x where the denominator of the function equals 0 and the numerator does not equal 0. In this case, the denominator x^2 + x - 20 = 0 has roots of -4 and 5, which means that x = -4 and x = 5 are the vertical asymptotes of the function. These values of x represent the values at which the function is undefined, and as x approaches these values from either side, the value of the function approaches positive or negative infinity.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

1/5

Step-by-step explanation:

Answer:

y-2=0

Step-by-step explanation:

Add the 2 to the other side and it would be y=2

Answer:

380,000

i am not sure how to explain, sorry.

Answer:

A. He will have to work 40 hours to buy the headphones

B.  1200 ≤ 10.25x ≤ 2000    where x is # of hrs worked

He can work anywhere between 118 and 196 hours.

Step-by-step explanation:

A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour

B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.

To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.

To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.

The expected value of the game to the player is $5.95, and if they play 1000 times, they would expect to lose $5950.

The expected value of the game to the player is the average amount of money they can expect to win or lose in the long run. To calculate the expected value, we must multiply the probability of winning (1/38) by the amount of money won ($210) and subtract the probability of losing (37/38) by the amount of money paid to play ($6). This gives us an expected value of (1/38) x ($210) - (37/38) x ($6) = $5.95. If you played the game 1000 times, you would expect to lose $5950 in total, as the expected value of each game is -$5.95. This means that, on average, you would lose $5.95 for every game you play. Multiplying this amount by 1000 gives us our expected total loss of $5950.

The calculation for the expected value of the game and the total expected loss for playing it 1000 times is as follows:

Expected value = (1/38) x ($210) - (37/38) x ($6)

= ($5.526) - ($5.684)

= -$0.158

Therefore, the expected value of each game is -$0.158, which means that on average, a player can expect to lose $0.158 for every game played.

Total expected loss for playing 1000 times = (-$0.158) x 1000

= -$158

Therefore, if the game is played 1000 times, the total expected loss is -$158

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Answer:

que que

Step-by-step explanation:

que

Answer:

its D hope this helps

Step-by-step explanation:

pls mark brainliest

Answer:

-12

Step-by-step explanation:

explanation in the picture bruv

The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1

An equation is an expression that shows how numbers and variables are related to each other.

Given the quadratic equation:

-x² + 4 = x + 2

Collecting like terms:

x² + x - 2 = 0

Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.

The solution is at x = -2 and x = 1

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The calculated value of Thomas's age based on the given parameters is 23 years

Let's use T to represent Thomas's age.

From the problem, we know that Huilan is 15 years younger than Thomas, so we can represent Huilan's age as T - 15.

The sum of their ages is given as 31, so we can write an equation:

T + (T - 15) = 31

Simplifying the left side of the equation, we get:

2T - 15 = 31

Adding 15 to both sides of the equation, we get:

2T = 46

Dividing both sides by 2, we get:

T = 23

Therefore, Thomas is 23 years old.

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The ratio of the floor width to the side wall height that minimizes the total material cost of the tunnel is  (3/2)^(1/3) / (2π)^(2/3), by using lagrange multipliers.

Let the width of the floor be w and the height of the side walls be h. The volume constraint of the tunnel is V = al, where V is the volume of the tunnel. The total cost C of the tunnel is given by:

C = 2whP + 2lhP + πr^2LQ

where P is the price per unit area of the floor, L is the length of the tunnel, Q is the price per unit area of the ceiling, r is the radius of the cylindrical ceiling, and hP is the price per unit area of the side walls.

The Lagrangian is:

L = 2whP + 2lhP + πr^2LQ + λ(al - V)

Taking partial derivatives with respect to w, h, r, and λ, and setting them equal to zero, we get:

2hP + λa = 0

2wP + λa = 0

2πrLQ = λa

al - V = 0

Solving for w/h, we get:

w/h = (2πrLQ - 2hP) / (2hP - 2λa)

Substituting the values for P, Q, a, and L, and simplifying, we get:

w/h = (3/2)^(1/3) / (2π)^(2/3)

Therefore, the ratio of the floor width to the side wall height that will minimize the total material cost of the entire tunnel is (3/2)^(1/3) / (2π)^(2/3).

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The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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Answer:

1.99%. (2% rounded)

Step-by-step explanation:

The total number of ways to select 4 children out of 40 is given by the combination formula:

C(40,4) = 40! / (4! * (40-4)!) = 91,390

The number of ways to select 4 girls out of 16 is given by the combination formula as well:

C(16,4) = 16! / (4! * (16-4)!) = 1,820

Therefore, the probability of selecting 4 girls out of the group of 40 children is:

P(4 girls) = C(16,4) / C(40,4) = 1,820 / 91,390 ≈ 0.0199 or 1.99%

So the probability that all 4 helpers will be girls is approximately 1.99%

Hope this helps!.

Answer:

The value of h is \(\frac{5}{2}\) units

Step-by-step explanation:

In the given figure

∵ Every two opposite sides of the parallelogram are equal

∴ The length of the base of the height h is 3 units

∵ The area of the parallelogram = \(\frac{15}{2}\) units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ \(\frac{15}{2}\) = 3 × h

∴ \(\frac{15}{2}\) = 3h

→ Divide both sides by 3 to find h

∵  \(\frac{15}{2}\) ÷ 3 = 3h ÷ 3

∴ \(\frac{15}{6}\) = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

∴ h = \(\frac{5}{2}\) units

Answer:

If it's the 5th sequence I would guess 2,5, and 11. Sorry if I'm wrong or if I misunderstood the question.

Step-by-step explanation:

Answer:

  x = 3

Step-by-step explanation:

Your knowledge of excluded values tells you that x=2 and x=4 must be excluded from the solution set, because they make the equation undefined. That only leaves x=3. A quick check shows it is the solution.

  x = 3

The condition probability of a given b must be smaller than the intersection of the same two events a and b:

This statement is False.

The condition probability of event "b" given event "a" (P(b|a)) must be less than or equal to the probability of event "b" (P(b)). This is because the occurrence of event "a" restricts the sample space to only those outcomes that belong to event "a", and thus the probability of event "b" given event "a" cannot be greater than the unconditional probability of event "b".

The concept of conditional probability is used to describe the probability of an event given that another event has already occurred.

The formula for conditional probability is

where P(b|a) represents the probability of event "b" given that event "a" has already occurred.

In order for this to be meaningful, it is required that P(b|a) <= P(b). This means that the probability of event "b" given that event "a" has already occurred cannot be greater than the unconditional probability of event "b".

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Answer: Simplifying

17.75x + 24 = 18.95x + 18

Reorder the terms:

24 + 17.75x = 18.95x + 18

Reorder the terms:

24 + 17.75x = 18 + 18.95x

Solving

24 + 17.75x = 18 + 18.95x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18.95x' to each side of the equation.

24 + 17.75x + -18.95x = 18 + 18.95x + -18.95x

Combine like terms: 17.75x + -18.95x = -1.2x

24 + -1.2x = 18 + 18.95x + -18.95x

Combine like terms: 18.95x + -18.95x = 0.00

24 + -1.2x = 18 + 0.00

24 + -1.2x = 18

Add '-24' to each side of the equation.

24 + -24 + -1.2x = 18 + -24

Combine like terms: 24 + -24 = 0

0 + -1.2x = 18 + -24

-1.2x = 18 + -24

Combine like terms: 18 + -24 = -6

-1.2x = -6

Divide each side by '-1.2'.

x = 5

Simplifying

x = 5



Step-by-step explanation:

Answer:

A) -6

Step-by-step explanation:

f(0) means that the line x=0 passes through the function and only touches the x-coordinate -6

Answer:

Answer: The Expression (f + g)(4) is equal to f(4) + g(4).

Step-by-step explanation: