What is the decimal multiplier to decrease by 60%?

The solution to 0.5^(x + 2) > 9 is x  > -5.170

The inequality expression is given as:

0.5^(x + 2) > 9

Take the logarithm of both sides of the inequality expression

log(0.5^(x + 2)) > log(9)

Rewrite the inequality expression as

(x + 2)log(0.5) > log(9)

Divide both sides by log(0.5)

x + 2 > -3.170

Subtract 2 from both sides

x  > -5.170

Hence, the solution to 0.5^(x + 2) > 9 is x  > -5.170

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The number which represents the common difference of the arithmetic sequence given is 6.

Given that :

For an arithmetic sequence :

The first term, a1 = 6

The fifth term, a5 = 30

Now the nth term of an arithmetic sequence is given by the formula :

an = a1 + (n - 1)d, where d is the common difference.

Substitute.

6 + (5 - 1)d = 30

4d = 24

d = 6

Hence the common difference is 6.

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The taxpayer who would most likely benefit from an installment sale is Allan, who sold a business use car at a net gain that was less than the amount of depreciation.

An installment sale is a transaction in which the sales price is received over a period of time that spans more than one tax year. Installment sales may have tax advantages, which is why taxpayers should consider them.

The taxable profit in an installment sale is not calculated using the entire sales price. Instead, it is calculated by applying the gross profit percentage to each installment's payments received during the year. In general, if an installment sale meets the definition, the taxpayer reports income from the sale as the payments are received, rather than in the year of sale.

However, in some situations, taxpayers might choose to report the entire profit from an installment sale in the year of sale. In such instances, an election to do so must be made.

The difference between the sales price and the adjusted cost basis of the asset is known as the gain. The gain is reduced by selling expenditures to arrive at the net gain. Net gain occurs when the sales price of a commodity is higher than its cost of acquisition and other fees or expenses related to its purchase and sale.

Depreciation is a term used in accounting and finance to describe the systematic decrease in the value of an asset over time due to wear and tear. It is an expense that lowers a company's net income and lowers the value of an asset on the balance sheet.

Hence, Allan, who sold a business use car at a net gain that was less than the amount of depreciation, will most likely benefit from an installment sale.

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Answer: 33.375 feet

Step-by-step explanation:

To find the maximum height, we need to find the vertex of the parabolic function h = 16t² + 12t + 30.

The vertex of a parabola with equation y = ax^2 + bx + c is located at x = -b/2a and y = c - b^2/4a.

In this case, a = 16, b = 12, and c = 30.

So,

t = -b/2a = -12/(2*16) = -3/8

h = 16(-3/8)² + 12(-3/8) + 30 = 33.375

Therefore, the maximum height reached is 33.375 feet.

Answer:

the number of grams of zinc contain is 78

Step-by-step explanation:

The computation of the number of grams of zinc contain is shown below:

Given that the ratio of zinc to copper is 3:16

And, the jar of the chemical has 416 grams copper

So, the number of zinc grams would be

here we assume the zinc grams be x

Now the equation would be

3 ÷ 16 = x ÷ 416

Now applied the cross multiplication

16x = 416 × 3

x = (416 × 3) ÷ 16

= 78

Therefore the number of grams of zinc contain is 78

Answer:

hi

Step-by-step explanation:

pog

The area of each k-th rectangle is

Thus, after summing the areas of the n rectangles, we obtain:

Then, to find the area under the curve we need to take the limit as n approaches infinity. So, we obtain:

Therefore, option A is correct.

Answer:

The answer is A in the picture above

Step-by-step explanation:

I took the test with 100 percent, im confident in my answer.

have a great day

Answer: 50.4

Step-by-step explanation:

The area of a triangle is base multiplied by height, then divided by two.

8* 6.3= 50.4

since theres two triangles you don't divide it

The dimensions of the posters are 21 inches and 6 inches

What is the area of the rectangle?

Rectangle is a quadrilateral with opposite sides parallel and equal. And every angle is a right angle. The area of the rectangle equals the product of length and breadth

We are given that, The length of a rectangular poster is 9 more inches than two times its width.

Let the length be l and width be w

Hence the relation can be given as,

l = 2w+9

Also the area of the rectangle is 126

hence

126 = l*w

126 = (2w+9)*w

126 = 2w^2+9w

2 w^2+9w-126=0

On solving the equation we get the value of w as

w= 6 and w =-10.5

The length and width cannot be negative hence

W =6

Hence length equals

L =2w+9

L= 12+9

L=21

Hence the dimensions are length = 21 inches and width = 6inches

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Answer:bdbehayssbeu

Step-by-step explanation:

dhdheheyshshsvv55557

There are 82 people you should survey if you want to know, at a 98% confidence level, that the sample mean SAT score is within 50 points of the true mean SAT score.

We have,

a college board sample estimated the standard deviation of 2016 SAT scores to be 194 points.

We used the formula,

= x ± Z (α/2) × σ/√n

Here, α = 1 - 98% = 0.02

Z (α/2) = Z (0.02/2) = 2.326

Hence, We get;

Z (α/2) × σ/√n = 50

2.326 x 194 /√n = 50

√n = 2.326 x 194 / 50

n = 82

Therefore, There are 82 people you should survey if you want to know, at a 98% confidence level, that the sample mean SAT score is within 50 points of the true mean SAT score.

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Answer:

You'd get 25.3333 or you could also express 76/3 as a mixed fraction: 25 1/3.

                         ↑  

                  the arrow pointing shows what the remainder means

remainder is the one which is down

Answer:

B

Step-by-step explanation:

The Laplace transform of the solution y(t) to the given initial value problem y"+y=g(t), y(0) = -4, y'(0) = 0, where g(t) = t, t<6; 5, t>6 is represented by the function Y(s) (in terms of s).

To solve the initial value problem y"+y=g(t) with the given initial conditions, we can take the Laplace transform of both sides of the equation. This transforms the differential equation into an algebraic equation in the Laplace domain.

Applying the initial conditions to the transformed equation, we can find the Laplace transform, Y(s), of the solution y(t). The exact expression for Y(s) can be obtained by using the table of Laplace transforms and the properties of Laplace transforms.

By substituting the Laplace transform of the input function, g(t), into the transformed equation, we can solve for Y(s) in terms of the Laplace variable s.

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Answer:

1. 74 because 8(10) - 6

2.4(4) - 5(3) = 1

3. 7(3)+8(4) * 2 = 106

4. A

5.a

6. 20.5

7.26

8.a

9.a

10a

Step-by-step explanation:

The probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0539.

To find the probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

- P(X = k) is the probability of exactly k successes,

- n is the number of trials,

- k is the number of successes,

- p is the probability of success in a single trial, and

- C(n, k) is the combination of n choose k.

In this case, n = 12, k can be 0, 1, or 2, and p = 0.59 (the probability of using smartphones in meetings or classes).

Now we can calculate the probabilities for each value of k and sum them up:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = 0) = C(12, 0) * 0.59^0 * (1 - 0.59)^(12 - 0)

P(X = 1) = C(12, 1) * 0.59^1 * (1 - 0.59)^(12 - 1)

P(X = 2) = C(12, 2) * 0.59^2 * (1 - 0.59)^(12 - 2)

Calculating these probabilities and summing them up will give us the desired probability that fewer than 3 out of 12 users use their smartphones in meetings or classes.

Let's calculate the probabilities.

P(X = 0) = C(12, 0) * 0.59^0 * (1 - 0.59)^(12 - 0)

Using the combination formula, C(12, 0) = 1, and simplifying the equation:

P(X = 0) = 1 * 1 * (1 - 0.59)^12 = 0.0003159

P(X = 1) = C(12, 1) * 0.59^1 * (1 - 0.59)^(12 - 1)

Using the combination formula, C(12, 1) = 12, and simplifying the equation:

P(X = 1) = 12 * 0.59^1 * (1 - 0.59)^11 = 0.0065294

P(X = 2) = C(12, 2) * 0.59^2 * (1 - 0.59)^(12 - 2)

Using the combination formula, C(12, 2) = 66, and simplifying the equation:

P(X = 2) = 66 * 0.59^2 * (1 - 0.59)^10 = 0.0470972

Now, let's sum up these probabilities to find P(X < 3):

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.0003159 + 0.0065294 + 0.0470972 = 0.0539425

Therefore, the probability that fewer than 3 out of 12 randomly selected adult smartphone users use their smartphones in meetings or classes is approximately 0.0539.

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The probability that when he enters the restaurant today it will be at least 5 minutes until he is served is  0.2676 and probability that average time until he is served in eight randomly selected visits is 0.0409.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation can be calculated as the square root of variance.

Given that mean μ = 4.2 , standard deviation σ = 1.3

1. P(X >= 5) = P((X - μ)/σ >

                    = (5 - 4.2) /1.3

                    = P(Z ≥ 0.6154)

                    = 1 - P(Z < 0.6154)

                    = 1 - 0.7324

                    = 0.2676

The required probability is 0.2676.

2.Given that n = 8 then  \(\bar x\) = σ/\(\sqrt{(n)\)  = 1.3/√(8) = 0.4596

P(x-bar ≥ 5) = P((\(\bar x\) - μ)/σx-bar ≥ (5 - 4.2)/0.4596)

                        = P(Z ≥ 1.7406)

                        = 1 - P(Z < 1.7406)

                        = 1 - 0.9591

                        = 0.0409

The required probability is 0.0409.

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Answer:

24/35

Step-by-step explanation:

The p-value (0.0055) is less than the significance level. Therefore, there is sufficient evidence to conclude that there is a difference in price among the three websites.

To test for significant differences in the mean price of a one-way airline ticket for the three travel agency websites, we will use a one-way ANOVA test. The null hypothesis is that all the population means are equal, while the alternative hypothesis is that at least two of the population means are different.

Based on the table provided, we can calculate the sample means and variances for each website:

Website Sample Size Sample Mean Sample Variance

Expedia   4            126.80                  215.4228

TripAdvisor 4            142.25            235.1304

Priceline   4             151.10                175.7749

The total sample size is 12, and the total sum of squares (SST) is 10165.4075. We can calculate the sum of squares between groups (SSB) and the sum of squares within groups (SSW) as follows:

SSB = (4*((126.8-140.05)^2 + (142.25-140.05)^2 + (151.1-140.05)^2)) = 2613.62

SSW = (3*((215.4228+235.1304+175.7749)/2)) = 305.51

The degrees of freedom for the ANOVA test are dfB = k-1 = 2 and dfW = N-k = 9, where k is the number of groups (in this case, 3) and N is the total sample size. The F-statistic can be calculated as F = (SSB/dfB) / (SSW/dfW) = 9.19, which has an associated p-value of 0.0055.

Using a significance level of 0.05, since the p-value (0.0055) is less than the significance level, we reject the null hypothesis. Therefore, there is sufficient evidence to conclude that there is a difference in price among the three websites.

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The values of θ, i.e. the general solution of the given trigonometric equation that satisfy the given equation are: 5π/12, π/12.

The general solution of a trigonometric equation is a formula employing the integer n that provides all solutions.

Given:

TO find: Values of θ.

Finding:

In the given equation: 2 cos( 4θ) - 1 = 0,

=> cos (4θ) = 1/2

=> cos (4θ) = cos (π/3)

=> 4θ = 2nπ ± π/3

=> θ = nπ/2 ± π/12

For n = 0, θ = ± π/12

For n = 1, θ = π/2 ± π/12

Since θ ∈ [0, π/2],  the possible values of θ = π/12, π/2 - π/12 = 5π/12.

Hence, The values of θ that satisfy the given equation are: 5π/12, π/12.

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Leala writes essay in 10 minutes contains roughly 83 words.We can find by unitary method.

The unitary method is a technique for solving a problem by first finding the value of a single unit and then finding the necessary value by multiplying the single unit value.We can find multiplying by other values.

Multiplication is one of the basic mathematical operations. When two or more numbers are multiplied together the answer obtained is called the product. In the case of the multiplication of two numbers the first number in which the other is being multiplied is called the multiplicand.

Now

Number of word=500

Number of minutes=10

she writes in 60 minute= 500

she writes in 10 minute= 500/60 *10

                                       =500/6

                                        =83.33 words

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x = 70°

Step-by-step explanation:

\( \alpha = 180 - 105 \\ \alpha = 75\)

\( \beta = 35\)

\(x + \alpha + \beta = 180 \\ x + 75 + 35 = 180 \\ x = 180 - 35 - 75 \\ x = 70\)

Answer:

70 degrees

Step-by-step explanation:

105 degrees - 35 degrees = 70 degrees

For this study, we would use a t test for independent means to compare the job skills test scores of the workers who received the new job skill training program and those who received the standard job skills program.

For this study, we would use a t test for independent means. The reason for this is because the two groups of workers (the ones assigned to the new job skill training program and the ones receiving the standard job skills program) are independent of each other. The researcher randomly assigned the workers to each group, so there is no relationship or dependence between the two groups.

In a t test for independent means, we compare the means of two independent groups to determine if there is a statistically significant difference between them. We would calculate the t-statistic and the p-value to determine if the difference in job skills test scores between the two groups is significant or just due to chance.

In summary, for this study, we would use a t test for independent means to compare the job skills test scores of the workers who received the new job skill training program and those who received the standard job skills program.

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Answer :

A) y = 7x + 4

Step-by-step explanation:

we need to see the equations 1 by 1

instead of y and x we need to put the value given

I am taking the last x and yes values as they are small numbers and will be easy to calculate

x = -1

y = -3

placing the values in equation :

A) y = 7x + 4

-3 = 7 × -1 + 4

-3 = -7 + 4

-3 = -3

So we got the answer same ! so the correct answer will be A) y = 7x + 4

let's check other one too to confirm overselves

b) y = 4x + 7

-3 = 4 × -1 + 7

-3 = -4 + 7

-3 = 3 NOT AN ANSWER

Answer:

Find the X value bring the X value to the left side then bring the remaining value to the right side Then simplify the value to find the result

Step-by-step explanation:

The predicted number of popcorn pieces a participant will eat if it has been 20 days since their last diet is approximately 25.78 pieces.

To predict the number of popcorn pieces a participant will eat based on the number of days since their last diet, we can use the given correlation and data. Let's solve each problem separately:

   To predict the number of popcorn pieces if it has been 10 days since the participant's last diet, we will use the formula for a simple linear regression:

Ŷ = a + bX

where Ŷ is the predicted number of popcorn pieces, X is the number of days since the participant's last diet, a is the intercept, and b is the slope of the regression line.

Given the correlation (r = 0.60), we can calculate the slope (b) using the formula:

b = r * (S_y / S_x)

where S_y is the standard deviation of Y (the number of popcorn pieces) and S_x is the standard deviation of X (the number of days since the last diet).

Plugging in the values:

r = 0.60

S_y = 5

S_x = 50

b = 0.60 * (5 / 50) = 0.06

To find the intercept (a), we can use the formula:

a = mean(Y) - b * mean(X)

mean(Y) = 25 (given)

mean(X) = 7 (given)

a = 25 - 0.06 * 7 = 24.58

Now we can substitute X = 10 into the regression equation to predict the number of popcorn pieces:

Ŷ = 24.58 + 0.06 * 10 = 25.18

Therefore, the predicted number of popcorn pieces a participant will eat if it has been 10 days since their last diet is approximately 25.18 pieces.

To compute the standard error of the estimate, we can use the formula:

SE = S_y * sqrt(1 - r^2)

Plugging in the values:

S_y = 5

r = 0.60

SE = 5 * sqrt(1 - 0.60^2) = 3.06

So, the standard error of the estimate is approximately 3.06.

   To predict the number of popcorn pieces if it has been 20 days since the participant's last diet, we can use the same regression equation:

Ŷ = 24.58 + 0.06 * X

Substituting X = 20 into the equation:

Ŷ = 24.58 + 0.06 * 20 = 25.78

Therefore, the predicted number of popcorn pieces a participant will eat if it has been 20 days since their last diet is approximately 25.78 pieces.

Regarding the standard error of the estimate, it will be the same as in the previous question (3.06) because the standard error is a measure of the overall precision of the regression line, and it does not depend on the specific value of X being predicted.

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Step-by-step explanation:

angle 1 = 73°

angle 2 = 107°

angle 3 = 73°

angle 4 = 107°

angle 5 = 73°.

hope this helps you.

Answer:

I am assuming when you say 2x2 you mean 2x squared so using that, your answer should be -35 if Im correct.

Step-by-step explanation:

Brainliest?!?

Answer:

21

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

All of a triangles angles equal 180 degrees. We know that one angle is 48 degrees and 1 angles is 90 degrees. We just have to subtract 138 from 180 to get 42.