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Digital Genius manufactures a cell phone charging pad that can fully charge any cell phone that is placed on it in 15 minutes.
The analytics department determined that at a price of $103.00 each, the demand would be 6 thousand pads, and at $53.00
each, the demand would be 16 thousand pads. Based on the assumption that a linear relationship exists between price and
demand, the price-demand equation is given by
p(x) = 5x + 133,
OA $23.80
OB. $70.00
OC. $63.00
OD. $26.60
where x is the number of thousands of pads in demand. At what price point should they sell the pads to have a demand of
14 thousand pads?
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Answer:

B. 215.8

Step-by-step explanation:

To determine how many gallons of paint are needed, divide the total number of square feet by 350.0. You will receive the necessary number of gallons with this without any formatting.

To calculate how many gallons of paint are needed to cover the specified area, divide the total square feet by 350.0. You will receive the necessary number of gallons with this without any formatting.  many gallons of paint are needed, divide the total number of square feet by 350.0. You will receive the necessary number of gallons with this without any formatting. For example, 250.0 square feet divided by 350.0 square feet would result in 0.7142857142857143. 0.7142857142857143 gallons of paint are needed to paint the walls. It's important to keep in mind that neither the calculation nor the result should be structured. You can then determine the exact quantity of paint required.

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Answer: A  y=4x -5 and y=4x+5

Step-by-step explanation:

They have no solutions because they have the same slopes but different y intercepts. That works with any equation.

Answer:

the answer is A

Step-by-step explanation:

Answer:

400 feet

Step-by-step explanation:

We just need to find h when t = 5. To do so, we can plug t = 5 into the function, which would be:

h = -16t² + 120t + 200

  = -16 * 5² + 120 * 5 + 200

  = -400 + 600 + 200 = 400 feet

Answer:

h = 400 feet

Step-by-step explanation:

given t = 5 seconds

h = -16t² + 120t + 200

just substitute t = 5

h = -16(5)² + 120(5) + 200

h = 400 feet

Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

Answer:

Rate of boat in still water = 56 km per hour

Rate of the current = 8 km per hour

Step-by-step explanation:

This question is incomplete; to understand how to solve these questions let the question is,

A motorboat takes 4 hours to travel 192 km going upstream. The return trip takes 3 hours going downstream. What is the rate of the boat in still water and what is the rate of current.

Let the rate of current = u km per hour

And the rate of boat in still water = v km per hour

Then going upstream, rate of the boat = Rate of the boat in still water - Rate of current

= (v - u) km per hour

Similarly, going downstream, rate of the boat = Rate of boat in still water + Rate of current

= (v + u) km per hour

Since, the boat takes 4 hours upstream,

By using the formula,

Rate = \(\frac{\text{Distance}}{\text{Time}}\)

Distance traveled = Rate × Time

For upstream,

192 = 4(v - u)

v - u = 48 ------(1)

For downstream,

192 = 3(v + u)

v + u = 64 ------(2)

By adding equation (1) and (2),

(v - u) + (v + u) = 48 + 64

2v = 112

v = 56 km per hour

From equation (1),

56 - u = 48

u = 56 - 48

u = 8 km per hour

Rate of boat in still water = 56 km per hour

Rate of the current = 8 km per hour

Answer:

N

36

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Answer: False

Step-by-step explanation:

The financing section deals with only the transactions that have to do with equity and debt. The Investing section deals with capital expenditure such as fixed assets and investments in other company securities.

The $50,000 should therefore be recorded in the Investing section as a Cash outflow.

The $100,000 is not a cash transaction but will be recorded in the Notes to the Statement of Cashflows as a Non-Cash transaction for disclosure purposes.

Answer:

x=15/19

Step-by-step explanation:

You have to start by multiplying the denominators by the numerators. I doesn't matter which you do first, as you can see, I chose to multiply the 6 by the 4x first.

Once that is completed, it is a simple matter of rearranging the equation so it begins with x=...

To do this, just subtract 5x and then divide by 19 on both sides to get the final fraction.

I have attached a photograph of my workings.

We can determine if the process is in control by checking if any of the data points fall outside the control limits.

To construct a control chart for monitoring the proportion of incorrect forms, we will use the P chart because we are interested in monitoring the proportion of defects relative to the total number of forms processed.

To calculate the standard deviation of p (sigma_p) for the P chart, we can use the formula:

sigma_p = sqrt((p * (1 - p)) / n)

where:

p = average proportion of defective forms

n = number of forms processed

First, let's calculate the average proportion of defective forms (p):

p = Sum of incorrect forms / (200 * Number of days)

p = 143 / (200 * 10)

p ≈ 0.0715

Next, let's calculate sigma_p using the formula mentioned above:

sigma_p = sqrt((0.0715 * (1 - 0.0715)) / (200 * 10))

sigma_p ≈ 0.0093

For the P chart, the Upper Control Limit (UCL) is given by:

UCL = p + 3 * sigma_p

UCL ≈ 0.0715 + 3 * 0.0093

UCL ≈ 0.0994

The Lower Control Limit (LCL) for the P chart is typically set to zero since the proportion cannot be negative:

LCL = 0

Now, we can determine if the process is in control by checking if any of the data points fall outside the control limits.

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Answer:

18

Step-by-step explanation:

each possibility needs to exclude one tree so:

mmoobbbb is when you exclude a maple

mmmobbbb is when you exclude an oak

mmmoobbb is when you exclude a birtch

then you can mix them up to get 6 ways per exclusion

6x3=18

so 18 is your answer!

Answer:

Number is -10

Step-by-step explanation:

Let Number be x

so, 5x= 30+8x

Take 30 other side and 5x other side

so, 8x-5x=-30

3x=-30

x=-10

HOPE THIS HELPS... THANK YOU

Answer:x=-9

Step-by-step explanation:

Add 12 to both sides: 4x - 12 = 8x + 24

                                    4x - 12 + 12= 8x + 24 + 12

Simplify:  4x - 12 + 12= 8x + 24 + 12

                 4x= 8x + 24 + 12

Simplify:   4x= 8x + 24 + 12

                 4x= 8x + 36

Subtract 8x from both sides: 4x= 8x + 36

                                                 4x-8x=8x+36-8x

Combine like terms: 4x-8x=8x+36-8x

                                   -4x+ 8x + 36 - 8x

Combine like terms: -4x+ 8x + 36 - 8x

                                 -4x = 36

Divide both sides by the same factor: -4x = 36

                                                               -4x/-4 = 36/-4

Simplify:    -4x/-4 = 36/-4

                  x=36/-4

Divide the numbers: x=36/-4

                                   x= -9

Answer: x= -9

Answer:

He rented 82 games

Step-by-step explanation:

296=3x+50

246=3x

x=82

Answer:

spent on game rented

= $296 - $50

= $246

games rented

= $246 ÷ $3

= 82

One student correctly identified the sequence -6,1,8,15,22,... as an arithmetic sequence, and provided a sufficient explanation.

Arithmetic sequences have a constant difference between consecutive terms, while geometric sequences have a constant ratio between consecutive terms. To determine if a sequence is arithmetic or geometric, one can examine the difference or ratio between consecutive terms.

For the sequence -6,1,8,15,22,..., the difference between consecutive terms is 1-(-6) = 7, 8-1 = 7, 15-8 = 7, 22-15 = 7, and so on. Since there is a constant difference of 7 between consecutive terms, this sequence is an arithmetic sequence.

The student's explanation correctly identified the constant difference and used it to classify the sequence as arithmetic. Therefore, this student provided a correct and sufficient answer.

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Hello there. To solve this question, we have to remember some properties about angles.

Given the following diagram:

We know that:

And the image shows that

We want to determine the measure of

That is, the following angle in blue:

For this, notice that

Therefore we found an equation that can give us the answer.

Plugging the values, we have that

Subtract 78º on both sides of the equation.

This is the measure in degrees that we're looking for.

The value of the number will be;

⇒ x = - 11

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Three times the quantity of a number increased by 7 is equal to the same number decreased by 15''

Now,

Let the quantity of a number = x

So, We can formulate;

⇒ 3x + 7 = x - 15

Solve for x as;

⇒ 3x - x = - 15 - 7

⇒ 2x = - 22

⇒ x = - 11

Thus, The value of the number will be;

⇒ x = - 11

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Answer:

hope this helps you

...............

Answer:

$66.70 for 10 sets

Step-by-step explanation:

Multiply the cost of 1 set by the number of sets wanted

$6.67 * 10

66.70 for 10 sets

Answer:

$66.70

Step-by-step explanation:

In order to figure out the cost of 10 sets of napkins, you have to multiply the cost of one set by 10.

Answer:no

Step-by-step explanation:

2 1/3 2 1/2

2 8/24 2 12/24

Answer:

1. F=y/x

2. F(x)= fx

3. -6< x <-1

This is what I think, It look like it going to be the same answer for me but I don’t know if you want it

Step-by-step explanation: I try really I did

1. The polynomial 9x² - 16 is in the form of ax² + c. Therefore, the value of ac is (9)(-16) = -144.

2. The coefficient of the x-term in the polynomial 9x² - 16 is 0. Therefore, the value of b is 0.

3. Two numbers that multiply to get ac = -144 and add to get b = 0 are 12 and -12.

4. The factored form of 9x² - 16 is (3x + 4)(3x - 4).

What are the multipliers?

3. We need to find two numbers that multiply to get ac = -144 and add to get b = 0. Let's find the prime factorization of ac = -144:

-144 = -1 × \(2^{4}\) × 3²

We need to choose two factors whose product is -144 and whose sum is 0. Since the product is negative, one factor must be positive and the other negative. Also, since the sum is 0, the absolute values of the two factors must be equal. The only pair of factors that satisfies these conditions is 12 and -12. Indeed, 12 × (-12) = -144 and 12 + (-12) = 0.

What is factored form?

4. The factored form is a way of representing a polynomial expression as the product of its factors. The factored form of a polynomial is important in algebraic calculations and is often used to solve equations. For example, the factored form of the quadratic expression ax² + bx + c is (mx + n)(px + q), where m, n, p, and q are constants.

the factored form of 9x² - 16 can be found using the difference of squares formula, which states that a² - b² = (a + b)(a - b). In this case, a = 3x and b = 4. Therefore:

9x² - 16 = (3x)² - 4²

= (3x + 4)(3x - 4)

Thus, the factored form of 9x² - 16 is (3x + 4)(3x - 4).

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If polynomial 9x2 - 16 then the factored form of 9x² - 16 is (3x-4)(3x+4).

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

In the polynomial 9x² - 16, a = 9 and c = -16. Therefore, the product of a and c is ac = 9*(-16) = -144.

In the polynomial 9x² - 16, b is the coefficient of the x term, which is 0. Therefore, b = 0.

To find two numbers that multiply to get ac and add to get b, we need to find two factors of -144 that add up to 0. The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. The factors that add up to 0 are -9 and 16. Therefore, ac = -144, b = 0, and the two numbers that multiply to get ac and add to get b are -9 and 16.

The factored form of 9x² - 16 is (3x-4)(3x+4). We can check this by expanding the expression using the distributive property:

(3x-4)(3x+4) = 9x² + 12x - 12x - 16

= 9x² - 16

Therefore, the factored form of 9x² - 16 is (3x-4)(3x+4).

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Step-by-step explanation:

You can say that a function take input and outputs something back. for example, let's y = X + 3. You may think this is a equation.Yeah it is but it is also a function. The original function notation is for example f(X) = X+3.But we set y = f(X) so it turn out to be y=X+3.Basically these two have the same meaning.X is a input in the function above.If you set X= 5,the input is now 5 and you will get a kinda output of 5+3 =8.so y= 8 or f(5) = 8.That's all.You can check out more on the internet.

We will have the following:

First, we determine the volume of the tomato sauce can:

Now, we determine the density of the object:

So, the density of the object is approximately 0.91 g/cm^3.

Answer:

≈ 7.85 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 225π , then

πr² = 225π ( divide both sides by π )

r² = 225 ( take square root of both sides )

r = \(\sqrt{225}\) = 15

the arc length is calculated as

arc = circumference × fraction of circle

      = 2πr × \(\frac{30}{360}\)

      = 2π × 15 × \(\frac{1}{12}\)

      = 30π × \(\frac{1}{12}\)

      = \(\frac{30\pi }{12}\)

      ≈ 7.85 cm ( to 2 dec. places )