im stuck pls help me​

Answer:

Correct answer is option d. increase of $1 in advertising is associated with an increase of $4000 in sales.

Step-by-step explanation:

Given the equation of regression analysis is given as:

\(y= 30,000 + 4x\)

where \(x\) is the cost on advertising in Dollars.

and \(y\) is the sales in Thousand Dollars.

To find:

The correct increase in sales when there is increase in the advertising cost.

Solution:

Suppose there is an increase of \(\$1\) in the advertising cost.

Let the initial cost be \(x\) then the cost will be \((x+1)\).

Initial sales

\(y= 30,000 + 4x\) ....... (1)

After increase of $1 in advertising cost, final cost:

\(y'= 30,000 + 4(x+1)\\\Rightarrow y' = 30,000+4x+4\\\Rightarrow y' = 30,004+4x ..... (2)\)

Subtracting (2) from (1) to find the increase in the sales:

\(y'-y=30004+4x-30000-4x = 4\)

The units of sales is Thousand Dollars ($1000).

So, increase in sales = \(4 \times1000 = \bold{\$4000}\)

So, correct answer is:

d. increase of $1 in advertising is associated with an increase of $4000 in sales.

Answer:

35.54° = 36°

Step-by-step explanation:

Answer:

32.5%

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

divided by 100 to get percentage

Answer:

The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.

Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:

y = 40,000(0.93)^3

where y is the value of the boat after three years, and 40,000 is the initial value of the boat.

Simplifying this equation, we get:

y = 40,000(0.7951)

y = 31,804

However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.

To find the correct equation, we can use the formula for exponential decay:

y = a(1 - r)^t

where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.

In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.

So we can set up an equation:

32,174.28 = 40,000(0.93)^3

Simplifying this equation, we get:

32,174.28 = 31,804.00

This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:

y = 40,000(0.93)^t

where t is the time in years.

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

On solving, the given system reduces to x1 = 12, & x2 = —7 which is the required solution.

Linear algebra is a subfield of mathematics that mostly uses matrices. When you start solving linear equation systems, linear algebra first starts to seem good. You may concentrate on the figures and greatly simplify the procedure by condensing all the information into a single large chart and leaving out the rest.

Almost as their name implies, square, symmetric, triangular, and diagonal matrices. All-zero identity matrices except along the major diagonal, where the values are

T he augmented matrix of the given system is B =

\([AB] = \left[\begin{array}{ccc}2&4&-4\\5&7&11\\\end{array}\right] \\on solving we get \\ [AB] = \left[\begin{array}{ccc}1&0&12\\0&1&-7\\\end{array}\right] \\\)

Hence the given system reduces to x1 = 12   x2 = -7

Hence the given system reduces to

x1 = 12, & x2 = —7

which is the required solution.

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The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.

To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.

In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )

Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³

Therefore, the simplified expression is x³ - x²y - xy² + y³.

Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.

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By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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Answer:

\left(3a^2b\right)^3\left(2a^3b\right)(3a2b)3(2a3b) = 5832a^{11}b^6  

hope this helped

Answer:

(3•2a5b6)

Step-by-step explanation:

durr

Answer: 10

Step-by-step explanation:

The answer to the question is 9.33333 which would be 10 rounded

Answer:6/5 or 1.2

Step-by-step explanation:

4/5 divided by 2/3

=4/5 *3/2

=12/10

=6/5

=1.2

The number of burgers Steve can make = 18

In this question, Steve has 6 3/4 pounds of ground beef to make hamburgers for a party.

It takes 3/8 of ground beef to make a hamburger.

We need to find the number of burgers Steve can make.

First we convert the improper fraction 6 3/4 into a proper fraction.

6 3/4 = 27/4

For 1 hamburger 3/8 of ground beef is required.

Let n be the number of burgers Steve can make.

n = (27 / 4) / (3 / 8)

n = 27/4 × 8/3

n = 9 × 2

n = 18

Therefore, the number of burgers Steve can make = 18

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Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The answer to the questions of volumes are given as follows

a) \(v=128 \pi\)

b) \(v=\frac{128}{3} \pi\)

 c)\(v=\frac{1024}{5} \pi\)

d)\(V=\frac{13568}{15} \pi\)

Generally, the questions are  mathematically solved below

\(y=\sqrt{x}, y=4, x=0\)

a) x-axis

if $y=4, x=16, x=0$

Using disk method

\(} v=\pi \int_{0}^{16}(\sqrt{x})^{2} d x \\\)

\(v=\pi\left(\frac{x^{2}}{2}\right)_{0}^{16} \\\)

\(v=\frac{\pi}{2} \times 16 \times 16 \\\)

\(v=128 \pi\)

b)  line y=4

if x=0, y=0 ;

\(y=\sqrt{x} \Rightarrow x=y^{2}\)

Using shell method

\(v = \int_{0}^{4} 2 \pi(4-y) \cdot y^{2} d y \\\)

\(v=2 \pi \int_{0}^{4}\left(4 y^{2}-y^{3}\right) d y\)

\(v=2 \pi\left[\frac{4 y^{3}}{3}-\frac{y^{4}}{4}\right]_{0}^{4} \\\)

\(v=\frac{2 \pi}{12}[1024-768] \\\)

\(v=\frac{512 \pi}{12} \\\)

\(v=\frac{128}{3} \pi\)

c) y-axis

0 ≤ y ≤ 4

x=y^2

Using disk method

volume

\(v=\pi \int_{0}^{4} y^{4} d y$\)

\(v=\pi\left(\frac{y 5}{5}\right)_{0}^{4} \\\)

\(v=\frac{1024}{5} \pi\)

d) line x=-1

y=√x, y=4, x=0

0 ≤ x ≤ 6

Using shell method

volume is

\(V=\int_{0}^{16} 2 \pi(1+x) \sqrt{x} d x$\)

\(V=2 \pi\int_{0}^{16}(x^{1 / 2}+x^{3 / 2}\right) )d x\right. \\\)

\(V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\\)

\(V=2 \pi\left[2 / 3 \cdot\left(4^{2}\right)^{3 / 2}+2 / 5\left(4^{2}\right)^{5 / 2}\right] \\\)

\(V=4 \pi / 3 \cdot 4^{3}+4 \pi / 5 \cdot 4^{5} \\\)

\(V=4 \pi\left(\frac{1}{3}+\frac{4^{2}}{5}\right)\)

\(V=\frac{256}{15}(5+48) \pi \\\)

\(V=\frac{256 \times 53}{15} \pi \\\)

\(V=\frac{13568}{15} \pi\)

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Hello! I have done this test and the answer is!..... D: S=7

Have a great day!!!

Answer:

64 fl oz

Step-by-step explanation:

To find the best price you take the cost and divide it by the number of fluid ounces ($1.99/32). For the 32 oz it costs .062, for the 64 oz it costs .057, and for the 96 oz it costs .060 (these are all approximate number btw). Therefore, since 64 oz has the lowest number it has the lowest price per fluid oz.

Your answer would be C.

He did not go insane

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

5c-5=45

Step-by-step explanation:

Since he didn't have the dessert you have to take away the five and the total was 45 which means something has to equal it.

The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

\(\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}\)

Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .

Hence here ,

Figure :-

\(\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4\ in.}}\put(9,17.5){\sf{12\ in.}}\end{picture}\)

\(\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}\)

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.

Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.

Now, the surface area of the cylinder is,

Surface area of the cylinder = Area of the bases + Area of the curved surface

= 2(πr²) + 2πrh

= 2(π × 4²) + (2 × π × 4 × 12)

= 2(50.265) + 301.5928

= 100.5309 + 301.5928

= 402.124 inches²

Hence, the surface area of the cylinder is 402.124 inches².

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Answer: a = 3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

7+2=9

hope it helps

...

The value of 10% as a fraction and a decimal will be 1/10 and 0.1.

From the information, we want to write the percentage as a fraction as well as a decimal. A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100.

10% as a fraction will be calculated by dividing 10 by 100. This will be:

= 10 / 100

= 1 / 10

10% as a decimal will be calculated by dividing 10 by 100 and giving it in decimal form.

= 1/10

= 0.1

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. Complete question

Write 10% as a fraction and a decimal

the counting number just before C5F16 is 3,072.