From a Word Problem
An online camera store charges $3 for every
8x10 picture that you order. The
shipping cost is $8. Write an equation to
model this situation. How much will it cost to
get 5 pictures printed?

Answer:

\(V=80x-36x^2+4x^3\)

Step-by-step explanation:

The volume of a box of dimensions a, b, c is:

V=abc

The box shown in the image has dimensions 8-2x, 10-2x, x, thus its volume is:

\(V=(8-2x)(10-2x)(x)\)

Operating the first two brackets:

\(V=(80-16x-20x+4x^2)(x)\)

Joining like terms:

\(V=(80-36x+4x^2)(x)\)

Multiplying again:

\(V=80x-36x^2+4x^3\)

The volume of the box is

\(\boxed{V=80x-36x^2+4x^3}\)

Answer:

The answer is 60

Step-by-step explanation:

2x5x6

rearrange by the commutative property

(2x5)x6

Calculate

10x6

calculate the product or quotient to 60

hence the answer is 60

Hoped this helped:D

Alison has five different hats, six different bracelets, and seven cats. She wants to take a selfie with a hat, a bracelet, and two cats. So she can take 630 different selfies.

         She wants to take selfies with what she has, and the question asks how many different selfies can she take.

    Let's solve the question below:

         The total number of selfies Alison can take is 5 × 6 × ( ₇C₂ )

          As Alison wants to take a selfie with a hat, a bracelet, and two cats, there are 5 hats and 6 bracelets she can select from, and she needs to select 2 cats out of 7 available cats.

          We can use the combination formula to calculate the total number of ways:

            ₇C₂ = \((7 * 6)/2\)

                   = 21

  Hence, Alison can take \(5 * 6 * 21\) = 630 different selfies with a hat, a bracelet, and two cats.

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Answer:

B is it

Step-by-step explanation:

Answer:

When x = 1, then y = -2

Answer:

B-at the second line

Step-by-step explanation:

hope it can help you lovelots

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\(x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9\)

you can reduce it to factors of degree 2 or less).

The two dice do not need to be identical. If it is possible, do it. If it is not possible, prove that it is not possible.

Some hints I got were to try to construct a pair of nonstandard dice such that the generating function for their sum matches the corresponding g.f. for a pair of standard dice and to note that the g.f. for a pair of standard dice can be factored quite a bit (you can reduce it to factors of degree 2 or less).

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The TRE score of 4532 is relatively better than the LSVT score of 35.

Calculate the z-score for the TRE score of 4532:

z_TRE = (4532 - 5277) / 324 ≈ -0.23

Subtract the mean TRE score (5277) from the individual score (4532), and divide it by the standard deviation of the TRE scores (324).

Calculate the z-score for the LSVT score of 35:

z_LSVT = (35 - 44.2) / 4 ≈ -2.30

Subtract the mean LSVT score (44.2) from the individual score (35), and divide it by the standard deviation of the LSVT scores (4).

Compare the z-scores:

The z-score tells us how many standard deviations a particular score is away from the mean. A higher z-score indicates a better relative score.

In this case, the z-score for the TRE score of 4532 is approximately -0.23, while the z-score for the LSVT score of 35 is approximately -2.30.

Determine the relatively better score:

Since the z-score for the TRE score (-0.23) is closer to zero compared to the z-score for the LSVT score (-2.30), the TRE score of 4532 is relatively better than the LSVT score of 35.

Therefore, based on the z-scores, the TRE score of 4532 is relatively better than the LSVT score of 35.

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The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.

The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for

A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:

F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:

F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:

E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.

d. The variance of the given random variable X can be obtained using the following formula:

Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6

Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6

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With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, 3/4 = Dimensions of the new shape/12

= 3/4 × 12

= 3 × 3

= 9 units

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

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Answer:

x = 18 units

w = 20 units

n = 6.9 units

Step-by-step explanation:

Given: Similar figures

To find: value of the variable in each pair of similar figures

Solution:

Figures are said to be similar if they have same shape and not necessarily same size.

Corresponding sides of similar figures are always proportional.

\(ABCD\sim JKLM\\\frac{AB}{JK}=\frac{AD}{JM}\\\frac{12}{x}=\frac{6}{9}\\x=\frac{12\times 3}{6}=18\,\,units\)

\(\Delta NOP\sim \Delta XYZ\\\frac{XZ}{NP}=\frac{YZ}{OP}\\\frac{12}{3}=\frac{w}{5}\\w=\frac{12\times 5}{3}=20\,\,units\)

\(\Delta GHI\sim \Delta PQR\\\frac{GI}{PR}=\frac{GH}{PQ}\\\frac{3}{n}=\frac{7}{16}\\n=\frac{3\times 16}{7}=\frac{48}{7}=6.9\,\,units\)

The probabilities are given as follows:

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

Each dice has six outcomes, hence the total number of outcomes when two dice are rolled is given as follows:

6² = 36.

The possible outcomes for the pair of dice are given as follows:

We can see a pattern of the sum, even-odd-even-odd and so on, hence the probability of an odd sum is given as follows:

p = 18/36 = 1/2.

For a sum greater than 6, the number of outcomes is given as follows

1 + 2 + 3 + 4 + 5 + 6 = 21.

Hence the probability is of:

p = 21/36

p = 7/12.

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Answer:

2/15

Step-by-step explanation:

BRANIEST PLS

Answer: 2/15 is the answer hope this help

Step-by-step explanation:

Answer:

4. 1/3

Step-by-step explanation:

You can use RISE/RUN from the bottom point! You end up with 1/3!

I hope this helps!

Answer:

2!! aka -1/3

Step-by-step explanation:

so you are looking for the slope!! slope equations are always rise over run!! in this you have a negative line because it is going down. you had to rise one to get to the other point and move three points! this would get you -1/3!

Answer:

I would help but I dont want to cheat so the other person gets it.

Step-by-step explanation:

Answer:

1300.00%

Step-by-step explanation:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Solution details:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

There are four 2s and four 4s in the deck.

Therefore, the probability of drawing one of these cards is 4/52.

Simplifying it, 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

There are four Kings in the deck, and there are 13 spades in the deck, including the King of spades.

There are four Kings, including the King of spades.

Four plus 13 equals 16 total cards.

The probability of drawing one of these cards is 16/52.

Simplifying it, 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

There are 13 hearts in the deck, and we’re assuming that you’re drawing with replacement.

As a result, the probability of drawing two hearts is (13/52) × (13/52).

Simplifying it, 169/2704.  

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Since the first ace has a probability of 4/52, or 1/13, the probability of the second ace is 3/51.

This is since one card has been removed from the deck, making it 51 instead of 52.

Multiplying the two probabilities gives us (4/52) × (3/51) or 12/2652. Simplifying it, 1/221.

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Answer:

answer is y = 3/4x - 5

Step-by-step explanation:

picture below.

The 3/4 comes from the line. You would use rise over run to find the slope, which in this case is 3/4. and the -5 is basically the y-intercept

To show that every amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills, we can use a technique called "proof by induction."

First, let's check the base case: can we make 18 dollars using only 3-dollar and 10-dollar bills? Yes, we can use two 3-dollar bills and one 10-dollar bill: 3 + 3 + 10 = 16.

Now, let's assume that we can make any amount greater than n dollars using only 3-dollar and 10-dollar bills. We want to prove that we can make any amount greater than n+1 dollars as well.

To do this, we can consider two cases:

1. The amount we want to make includes at least one 10-dollar bill. In this case, we can subtract 10 dollars from the amount and use our induction hypothesis to make the remaining amount using only 3-dollar and 10-dollar bills. Then we add the 10-dollar bill back in, and we have made the original amount.

2. The amount we want to make does not include any 10-dollar bills. In this case, we can use our induction hypothesis to make the amount n-7 using only 3-dollar and 10-dollar bills (since 10 - 3 = 7). Then we add a 10-dollar bill and a 3-dollar bill to get n+3, and we can add another 3-dollar bill to get n+6. Finally, we add one more 3-dollar bill to get n+9, which is greater than n+1.

Therefore, we have shown that any amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills using proof by induction.

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The percentage of the large pizza they ate is 100%

To calculate the percentage of pizza they both ate we have to add and then covert the fractions to percentage.

Given from the question

Frank ate 20% of the large pizza and Joey ate 4/5 portion of the large pizza

Converting 4/5 into percentage

For converting into percentage we have to multiply 100 to the fraction

= 4/5 x 100

= 80%

Now, let us proceed by adding the collected two percentages to find out the total percentage of pizza consumed by Frank and Joey

20% + 80%

= 100%

The percentage of the large pizza they ate is 100%.

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1. The payment amount and the interest on the loan, we need to use the formula for calculating compound interest. The formula is: A = P(1 + r)^n

Where:
A is the total amount after n years,
P is the principal amount (loan amount),
r is the interest rate per period (in this case, 10% per year),
n is the number of periods (in this case, 2 years).

(a) To find the amount of the payment, we need to calculate the total amount (A) and subtract the principal amount (P):

A = P(1 + r)^n
A = $1,600,000(1 + 0.10)^2
A = $1,600,000(1.10)^2
A = $1,600,000(1.21)
A = $1,936,000

Payment amount = A - P = $1,936,000 - $1,600,000 = $336,000

(b) To find the amount of interest, we subtract the principal amount from the total amount:

Interest = A - P = $1,936,000 - $1,600,000 = $336,000

Therefore, the amount of the payment is $336,000 and the amount of interest is also $336,000.

2. To find the interest rate, we can use the formula for compound interest:

A = P(1 + r)^n

Where:
A is the future amount ($2.42 million),
P is the present amount ($2 million),
r is the interest rate per period (unknown),
n is the number of periods (1 year).

We can rearrange the formula to solve for r:

r = (A/P)^(1/n) - 1
r = ($2.42 million / $2 million)^(1/1) - 1
r = 1.21 - 1
r = 0.21

Therefore, the interest rate is 21%.

3. To find the original loan amount, we can use the formula for calculating the future amount with compound interest:

A = P(1 + r)^n

Where:
A is the total cost of repaying the loan ($82 million),
P is the original loan amount (unknown),
r is the interest rate per period (8% per year),
n is the number of periods (1 year).

We can rearrange the formula to solve for P:

P = A / (1 + r)^n
P = $82 million / (1 + 0.08)^1
P = $82 million / 1.08
P ≈ $75.93 million

Therefore, the amount of the original loan was approximately $75.93 million.

4. To find the number of years required for the investment to reach at least $425,000, we can use the formula for compound interest:

A = P(1 + r)^n

Where:
A is the future amount ($425,000),
P is the initial investment ($280,000),
r is the interest rate per period (15% per year),
n is the number of periods (unknown).

We can rearrange the formula to solve for n:

n = log(A/P) / log(1 + r)
n = log($425,000/$280,000) / log(1 + 0.15)
n ≈ 4.61 years

Therefore, it would take approximately 4.61 years for the investment to cumulate to at least $425,000 at a 15% per year interest rate.

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The given number which is in scientific notation that is 9.4 x 10³ is equivalent to 9400 in standard form.

9.4 x 10³ is a number in scientific notation, which is a way of writing numbers that makes them easier to read and work with, especially when dealing with very large or very small numbers.

To convert this number to standard form, we need to move the decimal point three places to the right, since 10³ is equivalent to 1,000 (10 to the power of 3). This gives us:

9.4 x 10³ = 9,400

Therefore, the standard form of 9.4 x 10³ is simply 9,400.

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Answer:

Step-by-step explanation:

by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x. v(x).

The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.

The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:

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Answer:

Step-by-step explanation:

B and C

If 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

Given:

Volume of cube=64cm³

Hence:

Volume of the cube = a³

Volume of the cube, a³= 64 cm³

Using this formula

Cube edge length =∛(side)³

Let plug in the formula

Cube edge length =∛(64cm³)

Cube edge length=4cm

Therefore if 64 is a perfect cube the length of each edge of the block can be found. The edge length of a cube is: 4cm.

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Answer:

6200 rupees

Step-by-step explanation:

Think the monthly income x

According to the question

The equation is

x×28%=1736

x×28/100=1736

x=1736÷28/100

x=1736×100/28

x=62×100

x=6200

So monthly income is 6200 rupees

Answer:

\(6200\ Rupees\)

Step-by-step explanation:

\(We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\\)

\(\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\\)

Answer:

64

Step-by-step explanation:

Marcello sells coupon books to his neighbors

4 neighbors each buy 2 coupon books

Each book have 8 coupons

Therefore the total number of coupons that all neighbors will get can be calculated as follows

Each neighbor will get 16 coupon

Hence the whole neighbors will get

16×4

= 64 coupons

Answer:

27

Step-by-step explanation:

90 x 0.3

Answer:

Step-by-step explanation:

Hence, Pepper got 27 problems correct.

Hoped this helped.

\(BrainiacUser1357\)

When we replace the population standard deviation (σ) with the sample standard deviation (s), we introduce a new source of variability, known as the standard error (SE), and the sampling distribution becomes the t-distribution.

The t-distribution is a probability distribution that is used when working with small sample sizes or when the population standard deviation is unknown. It is similar to the standard normal distribution (z-distribution) but has thicker tails, which accounts for the increased uncertainty when estimating population parameters based on limited sample data.

By using the sample standard deviation (s) in place of the population standard deviation (σ), we acknowledge the inherent uncertainty in estimating the population parameters from a sample. The t-distribution allows us to make inferences and calculate confidence intervals for population parameters, such as the mean, using sample statistics.

It is important to note that as the sample size increases, the t-distribution approaches the standard normal distribution. Therefore, for large sample sizes (typically considered to be n > 30), the t-distribution and the z-distribution are practically equivalent.

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