7) Benny had 351 dollars to spend on 9 books. After
buying them he had 18 dollars. How much did each book cost ?

Based on the given information, the solid figure described is a pyramid.

We have,

A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that converge to a single point called the apex.

In the case described, the pyramid has four triangular faces, indicating that its base is a triangle.

Since a triangle has three sides, and there are four triangular faces, the pyramid has a total of 8 edges.

The triangular faces of the pyramid meet at the apex, forming a point at the top.

The base of the pyramid is a polygon, and in this case, it is a triangle.

The remaining three faces are also triangles that connect each of the edges of the base to the apex.

Therefore,

Based on the given information, the solid figure described is a pyramid.

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The average (mean) of the data is approximately 16.89 to two decimal places.

To calculate the average (mean) of the given data, you need to sum all the values and divide by the total number of values.

Sum of the data: 25.3 + 27.9 + 16.1 + 6 + 6.8 + 7.7 + 28.4 = 118.2

Total number of values: 7

Average (mean) = Sum of the data / Total number of values

Average = 118.2 / 7

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Answer:

1.82

Step-by-step explanation:

Add the prices to get the subtotal:

Sweet Tea:

2.49 * 2 = 4.98

4.98 + 15.99 + 4.99 = $25.96

The subtotal is $25.96

The sale's tax in Miami is 7% (the base 6% for FL, and the extra 1% for Miami).

$25.96 * 0.07 = 1.817 ≈ 1.82

The tax should be 1.82.

Hope this helps.

Answer:

It's minus half 7 minus 9 is minus 2 so minus 2 over 4 is minus half

Square root of 24 = 4.9

The square root of 24 can be written mathematically as:

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

We are given the following picture

We are given the following statements

- Line BA is congruent to line OC

- Line ON is congruent to line DA

- Angle A is congruent to angle O

If we highlight the congruencies we get

where the matching colors indicate congruency. As we can see, we have a pair of sides that are congruent and the included angle are also congruent. This is the condition for the SAS theorem to apply. Hence both triangles are congruent by the SAS theorem

To find the vertical asymptotes of a rational function, we need to set the denominator equal to zero and solve for x.

To find the vertical asymptotes of a rational function, you need to determine the values of x that make the denominator of the function equal to zero.

Let's check the limit of our example function as x approaches each of the vertical asymptotes:

As x approaches 1 from the left side: f(x) approaches negative infinity

As x approaches 1 from the right side: f(x) approaches positive infinity

Therefore, x = 1 is a valid vertical asymptote.

As x approaches 3 from the left side: f(x) approaches positive infinity

As x approaches 3 from the right side: f(x) approaches negative infinity

Therefore, x = 3 is also a valid vertical asymptote.

The values of x that make the denominator zero are the vertical asymptotes of the function.

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Answer:

1/3(4√2/2- 5)

-1/3(4√2/2 + 5)

Step-by-step explanation:

2(3x+5)² -16=0

2(3x+5)²=16

(3x+5)² = 4²/2

3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)

3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)

Answer: 5

Step-by-step explanation:

  8-2b=-2

8-2b-8=-2-8

    -2b=-10

-2b/-2=-10/-2

       b=5

Answer:

Take the 480 and divide it by 2

Step-by-step explanation:

The value of v will be equal to -7.

An expression is given i.e., 6v + 38 = - 4

We have to find out the value of v by solving the expression.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

The given expression is ; 6v + 38 = -4

So ; the value of v after solving the expression will be ;

6v + 38 = - 4

6v = -4 - 38

6v = -42

v = -42/6

v = -7

Thus , the value of v will be equal to -7.

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The structure that is more than 1,000 meters (3,280.84 feet) off of the ocean floor and has a flat top is called a seamount.

The abyssal structure that is more than 1,000 meters.Seamounts are underwater mountains or volcanoes that rise from the seafloor but do not reach the ocean's surface. They have a distinct conical shape with a flat or gently sloping top, often referred to as a summit. Seamounts are common features in the abyssal plain, and they can vary in size and shape.Therefore,the abyssal structure that is more than 1,000 meters (3,280.84 feet) off of the ocean floor and has a flat top is called a seamount.

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Answer:

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

Here is the expected number of broken machines or tanks and K is the total number of tanks. So (K-L) gives the number of tanks in working condition.

The number of repairmen (R) needed to have an average of at least 180 tanks working is to be determined. Thus as observed from the results obtained for one-way data table, the value of R such that (K-L) is at least 180 is R = 11 repairmen

The Expected number of broken or bad machines (L) is

\(L=\sum j\pi_i\)

The Expected number of machines waiting for service (1) is

\(L=\sum (j-R)\pi_i\)

An expected number of words is often used as a guideline to ensure that the content is neither too long nor too short. In this case, the expected number is 150 words. A 150-word piece of writing can be considered a short composition. It is long enough to convey a basic idea or message, but not so long that it becomes tedious to read. This length is often used in blog posts, news articles, and social media updates.

When writing a 150-word piece, it is important to make every word count. The writing should be clear and concise, with each sentence contributing to the overall message. It may also be helpful to outline the main points before starting to write to ensure that the piece stays focused.

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Answer:

c 1:3

Step-by-step explanation:

2/6 divide it by 1/3 and u get 1:3

Answer:

Sally can dye 276 words in 12 minutes. 828 in 36 minutes

Answer: One newton-meter is equal to 8.8507457676 inch pounds.

Step-by-step explanation:

As a simple example, if you wish to convert 5 newton-meters into inch pounds, you should multiply 5 by 8.8507457676 to give you a total of 44.253728838 inch pounds (or 44.254 rounded to 3 decimal places).

One newton-meter is equal to 8.8507457676 inch pounds.

What is nanometer ?

A nanometer (NM) is a unit of size this is equal to at least one billionth of a meter. it's miles extensively used as a scale for building tiny, complex, and atomic scale computing and digital additives - mainly in nanotechnology

As a simple example, if you wish to convert 5 newton-meters into inch pounds,

you should multiply 5 by 8.8507457676 to give you a total of 44.253728838 inch pounds (or 44.254 rounded to 3 decimal places).

Therefore, One newton-meter is equal to 8.8507457676 inch pounds.

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Answer:

A = 102m squared (Brainiest?)

Equation = b x h / 2

Step-by-step explanation:

A = (12 x 17) / 2

A = 204 / 2

A = 102m squared

In school suspension

Answer:

x=2

Step-by-step explanation:

To test when the function f(x) over takes the function g(x)

I just plugged in the x values

X f(x) g(x)

1 6 6

2 12 16

3 18 30

4 24 48

We can see from this table that f(x) is greater than g(x) starting from x=2

Therefore I think x=2 is your answer.

Hope this helps! :)

Answer:

2.5 ft/sec

Step-by-step explanation:

Greetings from Brasil...

Check the attachment for filling the table

The analytical solution for the steady-state heat balance equation, d²T/dx² - 0.15T = 0, for a 10-meter rod with boundary conditions T(0) = 240 and T(10) = 150 is T(x) = 332.608e^(-0.387x) + 57.3917e^(0.387x) - 89.999.

To solve the given heat balance equation, d²T/dx² - 0.15T = 0, we can use the method of separation of variables. Let's assume the solution to be of the form T(x) = X(x)Y(y).

First, let's solve for the spatial part, X(x):

Taking the second derivative of X(x), we have d²X/dx². Substituting this into the equation, we get:

d²X/dx² - 0.15X = 0

This is a simple homogeneous second-order linear differential equation with constant coefficients. The characteristic equation is r² - 0.15 = 0. Solving for r, we find r = ±√0.15.

Therefore, the general solution for X(x) is X(x) = c₁e^√0.15x + c₂e^(-√0.15x).

Next, let's solve for the temporal part, Y(y):

Substituting X(x) back into the original equation, we have:

Y''/Y = 0.15

This equation has a constant coefficient and can be solved by assuming Y(y) = e^(ky). Taking the second derivative of Y(y) and substituting it back into the equation, we get:

k² = 0.15

Solving for k, we find k = ±√0.15.

Therefore, the general solution for Y(y) is Y(y) = c₃e^√0.15y + c₄e^(-√0.15y).

Combining the solutions for X(x) and Y(y), we have T(x) = (c₁e^√0.15x + c₂e^(-√0.15x))(c₃e^√0.15y + c₄e^(-√0.15y)).

Applying the boundary conditions, T(0) = 240 and T(10) = 150:

T(0) = c₁c₃ + c₂c₄ = 240

T(10) = (c₁e^(√0.15 * 10) + c₂e^(-√0.15 * 10))(c₃e^√0.15 * 10 + c₄e^(-√0.15 * 10)) = 150

Solving these equations simultaneously, we can find the values of c₁, c₂, c₃, and c₄.

Finally, substituting the obtained values back into the general solution, we get the analytical solution for the heat balance equation for the 10-meter rod: T(x) = 332.608e^(-0.387x) + 57.3917e^(0.387x) - 89.999.

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(0, 0) is the y-intercept of the given line.

To detect the y-intercept of a line in a graph, you need to find the point where the line intersects the y-axis. In other words, it's the point where the value of x is zero.

To find the y-intercept of a line on a graph:

If the equation of the line is in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept, then the value of b is the y-coordinate of the point where the line intersects the y-axis.

In the given graph line is paasing through origin (0, 0).

Thus, the value of y where the value of x will be zero is zero.

So the y-intercept is 0.

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Answer:

t = 39

Step-by-step explanation:

t - 52 = - 13 ( isolate t by adding 52 to both sides )

t = - 13 + 52 = 39

the integer from the solution set S that makes the equation true is 39

Answer:

\( \sf \: t = 39\)

Step-by-step explanation:

Now we have to,

→ find the required value of t.

The equation is,

→ t - 52 = -13

Then the value of t will be,

→ t - 52 = -13

→ t = -13 + 52

→ [ t = 39 ]

Hence, the value of t is 39.

The larger the variance, the more the data are spread out from the mean. This statement is true.

Variance is a statistical measure that quantifies how much the data values are spread out or dispersed from the mean (average) of the dataset. Specifically, it is the average of the squared differences between each data point and the mean.

A larger variance means that the data values are more spread out from the mean, because the squared differences between the data points and the mean are larger on average. This indicates that there is greater variability or diversity in the dataset, and the values are more widely distributed.

Conversely, a smaller variance means that the data values are closer together and closer to the mean. This indicates that there is less variability or diversity in the dataset, and the values are more tightly clustered around the mean.

So, in summary, a larger variance indicates that the data values are more spread out from the mean, while a smaller variance indicates that the data values are closer together and closer to the mean.

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Answer:

2950

Step-by-step explanation:

10(250+45)

10(295)

2950