Sadie is buying pizza for a family reunion. She
bought 18 pizzas. Of these pizzas, 2/3 are
cheese. The cost the cheese pizza is $10,
including tax. What was the total cost of only
the cheese pizzas?

Answer:

7^3

Step-by-step explanation:

since seven is being multiplied by itself 3 times, it is being cubed. So it needs to be raised to the third power.

hope this helps!!! :3

Answer: (-7)(-7)(-7) is equal to -7^3 (just imagine that the three is on the top right outer corner of the 7)

Step-by-step explanation:

A power is when you multiply a number by itself a certain number of times, in this case, we are multiplying the number 7 by itself 3 times. Every time it is multiplied by its self, the power of that number goes up (if you are using a power of one for any number, it will stay the same). Here is an example:

-7 to the first power is just -7.

-7 to the second power, or squared is just (-7)(-7) or (-7) x (-7).

-7 to the third power, or cubed, is just (-7)(-7)(-7) or (-7) x (-7) x (-7).

Hope this helps!!!

The number of ways the foreign language club can choose 4 movies from the available is \(nC4 = n! / 4!(n-4)!\).

To calculate the number of ways the foreign language club can choose four movies from the available subtitled movies, we need to use the combination formula, which is:

\(nCr = n! / r!(n-r)!\)

Where n is the total number of available subtitled movies and r is the number of movies to choose (in this case, r=4).

Assuming there are at least four subtitled movies available, the number of ways to choose four movies would be:

\(nC4 = n! / 4!(n-4)!\)

Simplifying the equation further, we have:

\(nC4 = (n * (n-1) * (n-2) * (n-3)) / 4 * 3 * 2 *1\)

Therefore, the number of ways the foreign language club can choose four movies from the available subtitled movies is given by the formula nC4.

The formula calculates the number of possible combinations of four movies that can be selected from the total number of available subtitled movies, without regard to the order in which they are shown.

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The ratios of the right triangle to solve for x is as follows;

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sides of a right angle triangle can be named base on the position of the angles.  

The sides of a right angle triangles are hypotenuse sides, opposite and adjacent side. The hypotenuse side is the longest side of the right triangle.

Therefore, let's find the ratio that can be used to find the angle x.

Triangle PNM

sin x = opposite / hypotenuse

sin x = 6 / 10

Triangle ABC

cos x = adjacent / hypotenuse

cos x = 5 / 10

Triangle DEF

tan x = opposite / adjacent

tan x = 4 / 6

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is this for the test on schoolobjects?

Answer:

The answer is d 390cubic feet

Step-by-step explanation:

multiply 5x13x6=390

The minimum recommended temperature for the cold temperature run (\#7) is 15 degrees below room temperature.

The cold temperature run, marked as \#7, requires a specific temperature range to ensure optimal performance and safety. The minimum recommended temperature for this run is 15 degrees below room temperature.

Running at temperatures below room temperature allows for a more controlled environment that mimics colder conditions, which can be beneficial for various purposes such as testing equipment, evaluating performance, or assessing durability in colder climates. It helps identify potential issues or limitations that may arise in colder environments.

Setting the minimum recommended temperature at 15 degrees below room temperature provides a sufficient cold environment without excessively low temperatures that could pose risks or potential damage.

This temperature range strikes a balance between achieving the desired cold conditions for testing purposes while ensuring the safety and integrity of the equipment or system being evaluated.

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The derivative of H(z) is H'(z) = -2zd^2/[(d^2-z^2)(d^2+z^2)].

To differentiate the function H(z) = ln[(d^2-z^2)/(d^2+z^2)]^(1/2), we will use the chain rule and the power rule of differentiation.

First, we can simplify the expression inside the natural logarithm using the laws of exponents:

[(d^2-z^2)/(d^2+z^2)]^(1/2) = [(d^2-z^2)^(1/2)/(d^2+z^2)^(1/2)]

Now we can differentiate H(z) as follows:

H'(z) = d/dz [ln[(d^2-z^2)/(d^2+z^2)]^(1/2)]

= (1/2)[(d^2+z^2)^(1/2)/(d^2-z^2)^(1/2)] * d/dz [(d^2-z^2)/(d^2+z^2)]

Using the quotient rule, we can simplify the derivative:

d/dz [(d^2-z^2)/(d^2+z^2)] = [(2z)(d^2+z^2) - (d^2-z^2)(2z)]/(d^2+z^2)^2

= -4zd^2/(d^2+z^2)^2

Substituting this back into H'(z), we get:

H'(z) = (1/2)[(d^2+z^2)^(1/2)/(d^2-z^2)^(1/2)] * (-4zd^2/(d^2+z^2)^2)

= -2zd^2/[(d^2-z^2)(d^2+z^2)]

Therefore, the derivative of H(z) is:

H'(z) = -2zd^2/[(d^2-z^2)(d^2+z^2)]

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Answer: SERCA DE DOO SA LOL E

Step-by-step explanation: I DONT SPEAK UR LANGUAGE :)

The equation for the transformed logarithm that passes through the points (3,0) and (0,2) can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants to be determined.

To find the equation for the transformed logarithm, we need to use the given points (3,0) and (0,2) to determine the values of a, b, h, and k. Let's start with the point (3,0). Plugging the x-coordinate (3) into the equation, we have:

0 = -b * log(base a)(3 - h) + k

Next, we'll use the point (0,2) to obtain another equation. Plugging the x-coordinate (0) into the equation, we get:

2 = -b * log(base a)(0 - h) + k

Simplifying these equations, we have a system of equations to solve for a, b, h, and k. However, since the equation involves a logarithm, we need more information to determine the specific values of a, b, h, and k.The transformed logarithm function includes transformations such as vertical stretches/compressions (b), horizontal shifts (h), and vertical shifts (k). Without more specific information about these transformations or the base of the logarithm, it is not possible to determine the equation uniquely.

In general, the equation for a transformed logarithm can be written as f(x) = -b * log(base a)(x - h) + k, where a, b, h, and k are constants determined by the specific transformations applied to the logarithm function. It's important to have additional information or instructions to determine the values of a, b, h, and k and provide an equation that accurately represents the given transformed logarithm.

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Answer: Let us assume that the radius of the circle is r where the corresponding sector area and arc length are 37.5sq. cm and 7.5cm. From the given arc length of 7.5cm, the subtended angle at the circle center theta radian can be Theta /2π =7.5/2πr or

Theta radian =7.5/r. For the radian, 7.5/r subtended angle sector area can be 7.5/r/2π^2 or 7.5/2πr*πr^2 or 7.5r/2. We already have given sector area as 37.5, then 7.5r/2=37.5, or r will be 37.5*2/7.5 which gives us 10.

Step-by-step explanation:

Let us assume that the radius of the circle is r where the corresponding sector area and arc length are 37.5sq. cm and 7.5cm

By the arc length of 7.5cm, the subtended angle at the circle center theta radian will be

Theta /2π =7.5/2πr or

Theta radian =7.5/r

For the 7.5/r radian subtended angle sector area is

7.5/r/2π^2 or 7.5/2πr*πr^2 or 7.5r/2

We have given the sector area 37.5, so now 7.7r/2=37.5, or

r=37.5*2/7.5=10cm

Answer:

Separating the 3x and -5 apart from the (x+1)

Step-by-step explanation:

It would turn out to be (3x-5)(x+1) !

Factor out x+1 from the expression

(x+1) x (3x-5)

Out of 5,000 drivers, there 1,850 are person drive the car.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

From a survey of 100 drivers, 37 said they drove cars, 43 said they drove trucks, 12 said they drove vans, and 8 said they drove motorcycles.

Now,

Since, From a survey of 100 drivers, 37 said they drove cars.

Hence, Out of 5,000 drivers;

Let the number of person drive the car = x

So, By definition of proportion, we get;

⇒ 100 / 37 = 5000/x

Solve for x as;

⇒ x = 5000 × 37 / 100

⇒ x = 50 × 37

⇒ x = 1,850

Thus, The number of person drive the car = 1,850

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Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

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Answer:

1/3 or 1:3

Step-by-step explanation:

since there is a 10/30 chance

to simplify divide by 2

10/30 ÷ 2/2 = 5/15

then divide by 5

5/15 ÷ 5/5 = 1/3

your answer is 1/3

another simple way to simplify

since there is a zero (0) in both the ones (1s) spot on both the numerator and denominator in 10/30, you may just cross out both zeros (0s) to simplify the value

10/30 simplified/taken away 0s = 1/3

hope this helps:)

The correct answer is,

x = 13, 3

Answer:

Step-by-step explanation

The first choice is the correct one.

Sample space consists of all available possibilities. it is the collection of sall possible outcomes.

It is possible for the cube to land on any number 1 thru 9.

so it's - S = 1, 2, 3, 4, 5, 6, 7, 8, 9

Answer: The answer is A.(1,2,3,4,5,6,7,8,9)

Step-by-step explanation: because it is the sample space it have to have every outcome on it

Answer:

\(\boxed{\sf \:Slope(m)=2}\)

Step-by-step explanation:

Let's use the slope formula to find the slope of (2,2) and (3,4):-

Slope formula :- m=(y2-y1)/(x2-x1)

\(\sf \left(x_1,\:y_1\right)=\left(2,\:2\right)\)

\(\sf \:\left(x_2,\:y_2\right)=\left(3,\:4\right)\)

\(\sf m=\cfrac{4-2}{3-2}\)

\(\sf m=\cfrac{2}{1}\)

\(\sf m=2\)

Therefore, the slope is 2!!

_____________________

Hope this helps!

Have a great day!

Step-by-step explanation:

AD= 10cm DC=10cm

while in part 2

DE= 5m

Answer:  D = r*t + r*t   372 3/4 = (63 * 2 3/4) + (57 * 3 1/2)

  OR

D1 + D2 = Total  173 1/4 + 199 1/2 = 372 3/4

D1 = r1 *t1       63 * 2 3/4 = 173 1/4

D2 = r2 * t2      57 * 3 1/2 = 199 1/2

Step-by-step explanation:

The trip is in two segments, so calculate the distance driven in each portion, then add the two distances together to get the total.

Another way to write the expression would be  D = r*t + r*t  

The total distance that Wendy drove to Cleveland will be 372.75 miles.

For the first 2 3/4 hours of her trip, she drove an estimated 63 mph. Then, the distance traveled will be:

= 63 × 2 3/4

= 173.25 miles.

For the second portion of her trip, which took her 3 1/2 hours, she drove at an estimated rate of 57 mph, the distance will be:

= 57 × 3 1/2

= 199.5 miles

The total distance traveled will then be:

= 173.25 miles + 199.5 miles

= 372.75 miles.

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Answer:

there would be 20

Step-by-step explanation:

Answer:

1.25 cups

Step-by-step explanation:

50 / 10 = 5

that means there are 5 cups in 1 gallon

5 / 4 = 1.25

So there are 1.25 or as a fraction 1 1/4 cups in 1/4 of a gallon of water

Yes, it is possible for the sum of two lower triangular matrices to be a non-lower triangular matrix.

To see why, consider the following example:

Suppose we have two lower triangular matrices A and B, where:

A =

[1 0 0]

[2 3 0]

[4 5 6]

B =

[1 0 0]

[1 1 0]

[1 1 1]

The sum of A and B is:

A + B =

[2 0 0]

[3 4 0]

[5 6 7]

This matrix is not lower triangular, as it has non-zero entries above the main diagonal.

Therefore, the sum of two lower triangular matrices can be a non-lower triangular matrix if their corresponding entries above the main diagonal do not cancel out.

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The shape of a histogram of the distribution of scores on a midterm exam in a graduate statistics course is likely to be bell-shaped, symmetrical, and normally distributed. The bell curve, or the normal distribution, is a common pattern that emerges in many natural and social phenomena, including test scores.

The mean, median, and mode coincide in a normal distribution, making the data symmetrical on both sides of the central peak.In a graduate statistics course, it is reasonable to assume that students have a good understanding of the subject matter, and as a result, their scores will be evenly distributed around the average, with a few outliers at both ends of the spectrum.The histogram of the distribution of scores will have an approximately normal curve that is bell-shaped, with most of the scores falling in the middle of the range and fewer scores falling at the extremes.

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The measure of the value of 'x' from the expression is 8.8712

The given image is a triangle with the following parameters:

Opposite = 8

Hypotenuse = x

acute angle = 46 degrees

Required

The measure of the angle 'x'

Applying the rule of trigonometry

sin theta = opposite/hypotenuse

sin 46 = 8/x

x = 8/sin46

x = 8.8713

Hence the value of x from then given triangle is 8.8712

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Answer:

i got

Step-by-step explanation:

seventy-nine

From the given measurements a. obtuse b. obtuse c. acute d. obtuse e. With the measurements we can't form a triangle f. obtuse.

A triangle can be named based on its angles as follows:

Acute Triangle: A triangle where all three angles are less than 90 degrees is called an acute triangle.

Obtuse Triangle: A triangle where one angle is greater than 90 degrees is called an obtuse triangle.

Right Triangle: A triangle where one angle is exactly 90 degrees is called a right triangle.

a. The set of lengths 5 cm, 6 cm, and 7 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 5² + 6² < 7², the triangle will be obtuse.

b. The set of lengths 2 cm, 11 cm, and 15 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 2² + 11² < 15², the triangle will be obtuse.

c. The set of lengths 10 cm, 15 cm, and 20 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 10² + 15² > 20², the triangle will be acute.

d. The set of lengths 10 cm, 24 cm, and 26 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 10² + 24² < 26², the triangle will be obtuse.

e. The set of lengths 1 cm, 3 cm, and 9 cm will not form a triangle because the sum of the two smaller sides is not greater than the largest side.

f. The set of lengths 2 cm, 10 cm, and 11 cm will form a triangle because the sum of the two smaller sides is greater than the largest side. Since 2² + 10² < 11², the triangle will be obtuse.

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The arithmetic operation (f − g)x which can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours is (f − g)x = - 5x + 25

Camp counselor:

Earnings function

f(x) = 10x + 50

Lifeguard:

Earnings function

g(x) = 15x + 25

So,

(f − g)x = f(x) - g(x)

= (10x + 50) - (15x + 25)

= 10x + 50 - 15x - 25

(f − g)x = - 5x + 25

Therefore the function (f − g)x is (f − g)x = - 5x + 25

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Answer: (f − g)x = - 5x + 25

Step-by-step explanation: I got it right!

Answer:

77

Step-by-step explanation:

In a given study that the null hypothesis asserts the expected value of a phenomenon is 100 resulting in a 95% confidence interval reported as [98.76, 105.24], then we fail to reject the null hypothesis.

Therefore the answer is d) Fail to reject the null hypothesis.

A 95% confidence interval is a range of values that there is a 95% chance that the true value of a population parameter falls within. In this case, the 95% confidence interval is [98.76, 105.24], which includes the expected value of 100 that is stated in the null hypothesis.

Therefore, we fail to reject the null hypothesis because the data does not provide sufficient evidence to suggest that the true value of the population parameter is different from what is stated in the null hypothesis.

It's worth to mention that, Failing to reject the null hypothesis doesn't mean accepting it, it means that we don't have enough evidence to say that the parameter is different from the null hypothesis, it could be due the sample size, or other factors.

--The question is incomplete, complete question is as follows--

"Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 100. A research study results in a 95% confidence interval reported as [98.76, 105.24]. What decision would you make based on this confidence interval?

a) A decision cannot be made on a confidence interval; a hypothesis test is required.

b) Retain the null hypothesis.

c) Reject the null hypothesis.

d) Fail to reject the null hypothesis."

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