32. A company's profit varies directly as the number of products it sells. The company makes a
profit of $13,000 on 325 products. What is the company's profit when 999 products are sold?
This is a proportion.

Answer:

A (2,2) B (3,0) and C (1, -1)

Step-by-step explanation:

just ÷ everything by 3

6/3=2

6/3=2

9/3=3

0/3=0

3/3=1

-3/3=-1

The shape would you expect to have more lines of symmetry is  a regular octagon.

Regular octagon:

A regular octagon has 8 lines of symmetry as it has 8 sides.

Every regular polygon has as many lines of symmetry as the number of sides.

lines of symmetry = 8

Irregular decagon:

If a decagon is not a regular decagon, meaning its sides do not all have equal length, then the number of lines of symmetry varies.

we cannot decide lines of symmetry here because it depends on the length and angles of sides.

Therefore the shape would you expect to have more lines of symmetry is  a regular octagon.

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Answer:

$324

Step-by-step explanation:

We need to make a proportion:

\( \frac{259.20}{x} = \frac{80}{100} \)

\(25920 = 80x\)

\(x = 324\)

x is 1%. So 100% = 324*100 = 32400 cents = $324

Hope I helped :)

Answer:

Linear

Step-by-step explanation:

The equation is in y intercept form.

The linear regression equation from the given scatter plot is:

y = -1.62x + 215.64.

Using this function, the estimate of his weight 15 weeks into the diet is:

191.34 pounds.

The linear regression equation is obtained inserting the points of the scatter plot of the situation into a linear regression calculator.

From the given scatter plot, the points are given as follows:

(0,216), (1,214), (2,213), (3,210), (4,210), (5,207), (6,206), (7,202), (8,203), (9,202), (10,200)

Inserting these points into a calculator, the line of best fit is given as follows:

y = -1.62x + 215.64.

The estimate weight at the 15th week of the diet is the numeric value of the function when x = 15, that is, the lone instance of x in the function is replaced by 15, as follows:

y = -1.62(15) + 215.64 = 191.34 pounds.

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we can find the decimal which is equivalent to 3/15 as following

At first we have simplified 3/15 to 1/5

Then to convert to decimal, we need to make the denominator 10 or 100 or 1000 , ....

so, we need to multiply both of the numerator and denominator by 2

So, we have reached to 2/10 which is equivalent to 0.2

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

Answer:160 1/2

4√10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You need to shift the graph of cos  UP >1   or DOWN > 1  to get no x -axis intercepts  so  answer B  depicts the value of c

there exists an integer that is greater than 5 and whose square is smaller than 40, express as a mathematical quantifiers ∃x∈ℤ: x > 5 ∧ x² < 40

1.  Start by writing down the equation: x² < 40

2.  Take the square root of both sides of the equation to isolate the variable x: √x² < √40

3.  Simplify both sides of the equation: x < √40

4.  Check that the result makes sense: x < 6.3

5.  Take the integer part of the result: x < 6

6.  Since the requirement is that x is greater than 5, the answer is x = 6.

We start by writing the equation x² < 40 and then take the square root of both sides to get x < √40. We check that the result is reasonable and then take the integer part of the result to get x < 6. Since the requirement is that x is greater than 5, the answer is x = 6. To confirm, we can calculate that x² = 36 which is smaller than 40, and indeed, 6 is greater than 5. Therefore, the integer that is greater than 5 and whose square is smaller than 40 is 6. This can be expressed mathematically as ∃x∈ℤ: x > 5 ∧ x² < 40 which translates to: There exists an integer x such that x is greater than 5 and the square of x is smaller than 40.

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

333234

Step-by-step explanation:

333234$ for the next 4 years and the ecvation is 69$+-2$

Answer:

$135000

Step-by-step explanation:

150000*(1-0.1)=150000*0.9=135000

The calculated values of x and y in the figure are x = 2 and y = 4

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

The figure

Where, we have

equal side lengths

This means that

2y - 1 = 3y - 5

Evaluate

y = 4

Next, we have

x + 3 = 3/2x + 2

So, we have

1/2x = 1

This gives

x = 2

Hence, the values of x and y in the figure are x = 2 and y = 4

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Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

-2<=y<=-7

Step-by-step explanation:

Answer:

B. 27in

Answer:

Cardinal, Ordinal, and Nominal Numbers

Step-by-step explanation:

Answer:

A Cardinal Number is a number that says how many of something there are, such as one, two, three, four, five. An Ordinal Number is a number that tells the position of something in a list, such as 1st, 2nd, 3rd, 4th, 5th etc

Answer:

1672.50 = 37.75x + 1068.50

x = 16

There were 16 players brought to the tournament.

Step-by-step explanation:

y = mx + b

y= the total cost

m = cost of each meal

x = the number of players

b = cost of the bus

Plug in what you know and solve for x

1672.50 =  37.75x + 1068.50  Subtract 1068.50 from both sides.

604 = 37.75x  Divide both sides by 37.75

16 = x

Equation: 1068.50 + 37.75x =1,672.50

Answer: X= 16

If 1,672.50 is our total it will go behind the equal sign. 37.75x and 1068.50 must be added together to help us receive our total.

Our written equation should look like this

1068.50 + 37.75x =1,672.50

X is the number of players on the team.To find out we must first subtract the amount of money spent on the bus, from the total amount spent.

1,672.50-1068.50 is 604. This means our equation now looks like this

37.75x=604. The next and final step is to divide 37.75 into 604.

604/ 37.75 is 16. Which means that there are 16 players on the team.

I hope this helps & Good luck.

Answer:

A non negative ration number is a point between a whole number a a decimal fraction (i.e. 1.25) fractions. any part of a group number or whole. numerator. number above the line of a fraction, showing number of parts of the whole.

Step-by-step explanation:

Answer:the what:0

Step-by-step explanation:

Answer:

should be -7.5

Step-by-step explanation:

4.9×5=24.5

17-24.5=-7.5

Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

Answer:

Transform the given function f(x) as described.

f(x)= |x|

Reflect across the x-axis

Translate up 1 unit

A g(x) = |x-3|- 1

B g(x) = |x+3|+ 1

C g(x) = 2|x| - 1

D g(x) = -|x| +1

Answer:

x=6.54138

x=0.458619

Step-by-step explanation:

using the Quadratic Formula where

a = 1, b = -7, and c = 3

x=−b±\(\sqrt{b^{2} -4ac}\)/2a

x=−(−7)±√[(−7)2−4(1)(3)]/2(2)

x=7±√(49−12)/2

x=7±√37/2

The discriminant b2−4ac>0

so, there are two real roots.

Cannot Simplify the Radical:

x=\(\frac{7+-\\\sqrt{37} }{2}\)

which becomes

x=6.54138

x=0.458619

We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.

a) The problem asks for the volume of ice cream in one scoop.

b) The given fact is that the radius of the scoop is 2 inches.

c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.

d) Number Sentence:

  - Given: Radius (r) = 2 inches

  - Formula: V = (4/3)πr³

  - Substituting the value: V = (4/3)π(2)³

  - Simplifying: V = (4/3)π(8)

  - Evaluating: V = (4/3)(3.14)(8)

  - Multiplying: V = 33.49333333 (approx.)

e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.

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Answer:

first one y: -3, 0, 3, 6, 12

second one y:5, 2, 0, 2, 5

Step-by-step explanation:

for the first one the equation is y=3x

so when it goes as x:-1, 0, 1, 2, 4

so you should multiply each number by 3 as the equation does

(just replace each number by x in the equation)

so y: -3, 0, 3, 6, 12

next one: equation is y=\(x^{2}\)+1

so do the same as up there: replace x with every number

x:-2, -1, 0, 1, 2

so y will be

y:5, 2, 0, 2, 5