8
) Joan had 263 deer stickers. Joan gave 74 stickers to Sally, 51 stickers to her sister
and an additional 60 stickers to Jason. How many stickers does Joan still have?

Answer:

  2x -1

Step-by-step explanation:

You want to show that (3x+4) is a factor of f(x) = 6x^2+5x-4, and you want the other factor.

When the product, f(x), is divided by one of its factors, the remainder will be zero and the quotient will be the other factor.

The attached long division shows the remainder (bottom line) is zero, and the quotient (top line) is (2x -1), the other factor.

The other factor is (2x -1).

To maximize the profit 29.6 units must be produced.

What is the maxima or minima?

The maxima and minima of a function collectively referred to as extrema in mathematical analysis, are the highest and lowest values of the function, either on the whole domain or within a specific range.

We have given,

The revenue function is,

R(x)=3x

Cost function,

C(x)=0.05x^2+0.04x+10,

Where

x = number of units produced.

Thus, profit = revenue - cost

P(x) = 3x - (0.05x^2+0.04x+10)

= -0.05x^2 + 2.96x - 10

Differentiating with respect to x,

P'(x) = -0.1x + 2.96

Again differentiating with respect to x,

P''(x) = -0.1

For maxima or minima,

P'(x) = 0,

0 = -0.1x + 2.96

-0.1x = -2.96

x = 2.96/0.1

For x = 29.6,

P''(x) = negative,

Hence, to maximize the profit 29.6 units must be produced.

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Answer:

The rate of change is -0.75

Step-by-step explanation:

For each unit of t the volume of water is decreasing by 0.75.

At t=13.333 the volume of water is 0. at t=0 the volume of water is 10

Hope this helps

( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.

In the given expression, \( A \cdot C \), the variables \( A \) and \( C \) are being multiplied together.

However, the question also provides additional information, stating that \( x = 0 \) and \( a \). It is not clear what value \( a \) represents, so we will need more information to determine its significance in the expression.

As for the value of \( x \), since it is given that \( x = 0 \), we can substitute this value into the expression.

So, \( A \cdot C \) becomes \( A \cdot C \cdot 0 \).

Multiplying any number by zero will always result in zero, regardless of the value of \( A \) or \( C \).

Therefore, \( A \cdot C \cdot 0 = 0 \).

To summarize, when \( x = 0 \) and \( a \), the expression \( A \cdot C \) simplifies to 0.

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The amount of fertilizer needed for a 200 square foot garden is obtained with the numeric value of the function at x = 200.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

For this problem, the variables are given as follows:

The problem is incomplete, hence the general procedure was presented.

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Considering the perimeter concept, we have that:

The perimeter of a polygon is given by the sum of all the lengths of the outside edges of the polygon.

For this problem, the outside edges are given as follows:

Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3. Considering all the edges, the perimeter is given by:

P = 2(6x - 4) + 2(12x + 3) + 14x + 13

P = 12x - 8 + 24x + 6 + 14x + 13

P = 12x + 24x + 14x + 8 + 6 + 13

P = 50x + 27.

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Based on the absolute deviations and the predicted values, the sum of absolute deviations will be 4.8.

This can be found as:

= ∑ (Observed value - Predicted value)

The observed values are given in the table and the predicted values will be calculated using y = 3.6x - 0.4.

Solving gives:

=  [3 - (3.6 x 1 - 0.4)] + [7 - (3.6 x 2 - 0.4)] + [ 9 - (3.6 x 3 - 0.4)] + [14 - (3.6 x 4 - 0.4)] + [15 - (3.6 x 5 - 0.4)] + [21 - (3.6 x 6 - 0.4)] + [25 - (3.6 x 7 - 0.4)]

= 0.2 + 0.2 + 1.4 + 0 + 2.6 + 0.2 + 0.2

= 4.8

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The exact area of the surface obtained by rotating the curve x=3+5y^2 about the x-axis is approximately 37.78 square units.

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Answer:

$160

Step-by-step explanation:

Step one:

It costs $100 to rent the bowling alley

plus $4 per person

the expression for the cost is

\(C=100 + 4n\)

where n is the number of people

for n= 15

Step two:

let us substitute

\(C= 100+4(15)\\\\C= 100+60\\\\C= 160\)

Answer:

Hope this helps

Answer:

Middle and far right one

Step-by-step explanation:

X values cannot repeat

Answer:

3d^2-9d

=3d(d-3)

Therefore,GCF IS 3d

Over the past 10 years, you have paid off $1,80,000 - $1,12,681 = $67,319 of the original loan.

This amount represents the reduction in the loan balance over the years. It is essential to consider that your monthly payments were not entirely directed towards the loan principal; a portion went towards paying interest charges. As a result, the loan balance was gradually reduced over time.

The interest on the loan accumulated each month, which affected the allocation of your payments. Initially, a significant portion of your payments likely went towards interest, with a smaller fraction reducing the principal balance. However, as time progressed, the interest portion decreased, and more of your payments started chipping away at the loan's principal.

It is crucial to recognize the impact of interest on loans, especially over extended periods. The difference between the current value of your house and the remaining loan balance illustrates the progress you have made in building equity over the years. As you continue making payments, the loan balance will further diminish, and your equity will continue to grow.

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Answer:  -63

Work Shown:

\(\sqrt{-81} *\sqrt{-49}\\\\9i *7i\\\\63i^2\\\\63(-1)\\\\-63\\\\\)

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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Answer:

-16.5

Step-by-step explanation:

1) -5*3.3

2) (Multiplying with 1 negative number makes it negative)

3) -16.5

Answer:

43

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

Answer:

x=43

Step-by-step explanation:

78+59

180-137=43

This is the Step-by-step explanation:

Allow a random number generator to come up with 100 families within a 50 radius of the amusement park.

A random number selector can be used to select 100 families out of the total number of families living within a 50 mile radius of the amusement park.

Random sampling refers to the process of randomly selecting a set of samples from a population in random manner without bias.

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Answer:

Ab and Xz are congruent, and B=X, A=Z, which proves it is with SAS

Step-by-step explanation:

By using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

The reason that can be used to fill in the numbered blank space is the Angle Addition Postulate.

The Angle Addition Postulate states that the sum of the measures of two adjacent angles is equal to the measure of the larger angle formed by their union. In the context of triangle ABC, we can use this postulate to prove that the sum of the measures of the interior angles of the triangle totals 180°.

By applying the Angle Addition Postulate to each pair of adjacent angles in triangle ABC, we can show that the sum of all three angles is equal to 180°. The three angles in triangle ABC are angle A, angle B, and angle C.

Using the Angle Addition Postulate, we can write the following equations:

angle A + angle B = measure of angle A + B

angle A + angle B + angle C = measure of angle A + B + C

Since the measure of angle A + B + C represents the measure of the larger angle formed by the union of angles A, B, and C, we can conclude that angle A + angle B + angle C is equal to 180°.

Therefore, by using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

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Answer:

g(x) = - 16x² + 100

Step-by-step explanation:

Given the model:

First drop:

h(x) = - 16x² + 4

Second drop hits the ground 2 seconds later

Function g(x) to model the second drop:

-16t² + V0t + h0

h(x) = - 16x² + 4

0 = - 16x² + 4

16x² = 4

x² = 4/16

x² = 1/4

x = 1/2

2 seconds later :

X = 1/2 + 2

x = 2.5

0 = - 16(2.5)² + 0 + h0

0 = - 100 + h0

h0 = 100

Hence,

g(x) = - 16x² + 100

Answer:

If he wrote the check, then I assume he gave it to someone else to cash in. If that is the case, his bank account balance is -$13. If he got a check for $86 and cashed it in, then he has $159 in his bank account.

Step-by-step explanation:

The graph with all the solutions can be seen in the image at the end of the answer.

We want to solve the 3 quadratic equations and then graph them in a coordinate axis.

Remember that for a complex number z = a + bi, the real part a goes in the horizontal axis and the complex part b goes in the vertical axis.

a) We start with:

m² = 16

m = √16

m = ±4

b) x² = -9

x = ±√-9

x = ±3i

c) t² = -25

t = ±√-25

t = ±5i

The graph of all of these points can be seen in the image at the end.

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the clown would need to buy 138 packs of balloons to have a total of 275 balloons for the party.

IfIf the balloons only come in packs of 2, we need to determine how many packs the clown would need to buy in order to have a total of 275 balloons.

To find the number of packs needed, we divide the total number of balloons (275) by the number of balloons in each pack (2).

275 balloons ÷ 2 balloons per pack = 137.5 packs

Since we cannot have a fraction of a pack, we round up to the nearest whole number.

Therefore, the clown would need to buy 138 packs of balloons to have a total of 275 balloons for the party.

Note: Rounding up to the nearest whole number ensures that the clown has enough balloons and avoids having a fractional number of packs.

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Answer: 184 cm^2

Step-by-step explanation:

1st: separate the figure into smaller shapes

-> one large rectangle (20 cm x 7 cm) =140 cm

-> one triangle ( (15-7)= 1/2 (8 cm x 3 cm ) = (20-13-4) = 12 cm

-> one rectangle (4 cm x 8 cm ) = 32 cm

140 + 32 + 12 = 184 cm

Answer: 184 cm2

Step-by-step explanation: Break the shape into common shapes. If you continue the line of 13 cm you now have a rectangle and trapezoid.

The rectangle area is 140

20 x 7 = 140

The trapezoid area is 44

The 15 cm line is cut into 7 and 8

the height of the shape is now 8

Base A ( the top ) is 4 cm

Base B (the bottom) is 7

A = a+b over 2h = 4+7 over 2·8 = 44

now add the numbers

Step-by-step explanation:

7x^3 -4x^2 + 3x + 6

I hope it's helpful

The probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321. The expected amount of time until the first bulb goes out is 10 minutes. The probability density function (pdf) of the random variable T, representing the time when you leave the room after the last light bulb goes out, is given by \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\).

To find the probability that a single bulb will burn out within the next 10 minutes, we can use the exponential distribution. The exponential distribution with a mean of 10 minutes has a rate parameter λ = 1/10.

The probability density function (pdf) for an exponential distribution is given by \(f(x) = λ * e^{(-λx)}\)

In this case, we want to find the probability that a bulb burns out within the next 10 minutes, which corresponds to the cumulative distribution function (CDF) at x = 10. The CDF is given by \(F(x) = 1 - e^{(-λx)\)

So, substituting the values, we have:

\(F(10) = 1 - e^{(-(1/10)*10)\)

\(= 1 - e^{(-1)\)

= 1 - 0.3678794412

≈ 0.6321

Therefore, the probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321.

The amount of time until the first bulb goes out follows an exponential distribution with a rate parameter of λ = 1/10 (since it has a mean of 10 minutes).

The probability density function (pdf) for the time until the first bulb goes out is given by\(f(t) = λ * e^{(-λt).\)

To find the expected amount of time until the first bulb goes out, we need to calculate the mean (or expected value) of this distribution.

The expected value of an exponential distribution with rate parameter λ is equal to 1/λ. In this case, the expected value is 1/(1/10) = 10 minutes.

Therefore, the expected amount of time until the first bulb goes out is 10 minutes.

To find the probability density function (pdf) of the random variable T, which represents the time when you leave the room (after the last light bulb goes out), we need to consider the distribution of the maximum of the exponential random variables.

Since there are 20 light bulbs in the room, and each follows an exponential distribution with a rate parameter λ = 1/10, the time until the last bulb goes out can be modeled as the maximum of 20 exponential random variables.

The pdf of the maximum of independent exponential random variables with the same rate parameter λ is given by \(g(t) = n * λ * e^{(-λt)} * (1 - e^{(-λt))^(n-1)}\), where n is the number of random variables.

In this case, n = 20, and λ = 1/10. Thus, the pdf of T is \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\)

This expression represents the pdf of the random variable T, which denotes the time when you leave the room after the last light bulb goes out.

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