Hank is thinking of a number. If he multiplies his number by
seven and then adds 10, he gets 59. What is Hank’s number?

The length of the panel is 0.5 meter.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

Given that,

Area of the panel = 0.8 \(m^{2}\)

width of the panel = 1.6 meter

Here, solar panel is in the form of rectangle.

Area of rectangle = length× width

                     0.8 =   1.6 × length

                   length = \(\frac{0.8}{1.6}\)

                   length = 0.5 meter

Hence, The length of the panel is 0.5 meter.

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Answer:

-1

Step-by-step explanation:

y=mx+b

m=slope

-1x meaning that -1 is your slope

Answer:-1

Step-by-step explanation:

Answer:

area=22/7×13=40.85=41 is the nearest whole number

Step 1

The formula the area is given as;

Where;

Answer;

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

According to the given information, Julie's new bank balance was $1,609.01

To calculate Julie's new bank balance, we need to subtract the total amount of checks she wrote from her initial balance, and then add the total amount of deposits she made.

Total amount of checks = $62.41 + $224.14 + $12.92 + $357.16 = $656.63

Total amount of deposits = $197.34 + $879.13 = $1,076.47

New bank balance = Initial balance - Total amount of checks + Total amount of deposits

New bank balance = $1,189.17 - $656.63 + $1,076.47

New bank balance = $1,609.01

Therefore, Julie's new bank balance was $1,609.01.

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Answer:A- direct variation function

Step-by-step explanation:

h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.

So,  h(x) = [x] + 4 is in direct variation.

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The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer:C

Step-by-step explanation:

Answer:

Nolan's time is 100 seconds.

Step-by-step explanation:

Kong took 85 seconds.

Nolan took x seconds.

Kong took 15% fewer seconds than Nolan, so Kong's time is 85% of Nolan's time.

Kong's time is

85% of x or 0.85x

Kong's time is 85 seconds

0.85x = 85

x = 85/0.85

x = 100

Nolan's time is 100 seconds.

Answer:

14

Step-by-step explanation:

7(8−6)

7(8−6)

=14

Hope it helps :)

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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If Sarah uses 3/4 yard of ribbon to make a hair bow, she will need 6 and 3/4 yards of ribbon to make 9 hair bows.

To find out how many yards of ribbon Sarah will use to make 9 hair bows, we need to multiply the amount of ribbon used for one hair bow (3/4 yard) by the number of hair bows she wants to make (9).

So, the equation we need to use is:

3/4 yard of ribbon per hair bow x 9 hair bows = ? yards of ribbon

To solve for the answer, we can simplify the equation:

3/4 x 9 = 27/4

So Sarah will need 27/4 yards of ribbon to make 9 hair bows.

To convert this fraction to a mixed number, we can divide the numerator (27) by the denominator (4) and write the remainder as a fraction:

27 ÷ 4 = 6 with a remainder of 3

In summary, Sarah will need 6 and 3/4 yards of ribbon to make 9 hair bows, if she uses 3/4 yard of ribbon to make one hair bow.

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The paint cans and the spaces serve as examples of equivalent ratios. 5.5 cans of paint will be required to cover 2200 sq. unit.

Two ratios that have the same values are said to be equivalent. The same number can be used to multiply or divide both sums to get an equivalent ratio. The method is the same as determining equivalent fractions. When two or more ratios are reduced to their most basic form, they have the same value. Examples of equivalent ratios are 1:2, 2:4, and 4:8. In their most basic form, all three ratios have the same value, which is 1:2. They are in proportion if two ratios are equal. Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same.

To paint a 2200 square unit space, 5.5 cans are required.

The given parameter is:

Cans: Area\(=1:400\)

Express as fraction

Cans/Area\(=1/400\)

Multiply both sides by Area

Cans\(=\frac{1}{400}*Area\)

When the area is 2200, we have:

Cans\(=\frac{1}{400}*2200\)

Cans\(=5.5\)

5.5 cans are therefore required to paint a 2200 units square space.

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The question does not provide enough information to answer this question. Please provide the relevant part c of the question to be able to determine the sample size and make a judgment on whether it was large enough for inference.

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Answer:

The simplest terms is, tan W=4.

Explanation:

Trigonometry is a discipline of mathematics that deals with certain angle functions and how to use them in computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and acronyms (csc).

Step by step:

Simplest term of tan W are calculated as:

We know that, \(tan\)θ \(=\frac{opposite}{adjacent}\)

According to the question:

\(tan W=\frac{VU}{VW} \\\\tan W=\frac{24}{6} \\\\tan W =4\)

Hence,  The simplest form of tan W is 4.

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Answer:

3) D. (-3, -3)       4) B. (3, 2)

Step-by-step explanation:

2(6) - 3(-4) < 9     2(-1) - 3(-9) < 9    2(2) - 3(-5) < 9     2(-3) - 3(-3) < 9

12 - (-12) < 9          -2 - (-27) <9        4 - (-15) < 9           -6 - (-9) < 9

    24 < 9                    25 < 9               29 < 9                    3 < 9

5 > -2(-1) + 7     2 > -2(3) + 7     -8 > -2(2) + 7    0 > -2(-4) + 7

5 > 2 + 7           2 > -5 + 7          -8 > -4 + 7       0 > 8 + 7

   5 > 9                 2 > 2                 -8 > 3             0 > 15

The missing statement are:

The essential difference between a worm and a virus is that a worm is a standalone program that can spread and replicate itself over a network without needing a host program. A virus, on the other hand, is a malicious code that attaches itself to a host program and requires the execution of the host program to spread.

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Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

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When we want to determine the goodness of fit in a linear regression model, we need to review R2 and the F statistic. Option D .

R2, or the coefficient of determination, is a measure of how well the linear regression model fits the data. It represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s). R2 ranges from 0 to 1, where 0 indicates no fit and 1 indicates a perfect fit.

The F statistic, on the other hand, tests whether the linear regression model as a whole is statistically significant. It compares the variation explained by the model to the variation that cannot be explained by the model. If the F statistic is greater than the critical value at a certain level of significance (e.g., 0.05), then we can reject the null hypothesis that the model is not significant.

Therefore, to determine the goodness of fit in a linear regression model, we need to review R2 to understand how well the model fits the data, and the F statistic to test the overall significance of the model. Other coefficients, such as B1 (slope) and the alpha test (test for significance of individual regression coefficients), may also be useful for understanding the model, but they are not the primary measures of goodness of fit.

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In order to write a function myMedian that takes a vector as input and returns the median of the vector as output, we can follow these steps:

Step 1: Define a function named myMedian that takes a vector as input.

Step 2: Sort the elements of the vector in ascending order.

Step 3: Find the length of the vector.

Step 4: If the length of the vector is even, then calculate the average of the middle two elements.

Step 5: If the length of the vector is odd, then return the middle element.

Step 6: Display the median of the vector as output. We can use the myMedian function in the command window and verify the result by comparing with the output of the built-in function median.

Here's the code for the function myMedian in MATLAB:

```function med = myMedian(vector)
 sortedVector = sort(vector);
 n = length(sortedVector);
 
 if mod(n, 2) == 0
   med = (sortedVector(n/2) + sortedVector(n/2 + 1)) / 2;
 else
   med = sortedVector((n+1)/2);
 end
 
end```

To verify the output, we can run the following code in the command window:```
v = [2, 5, 1, 7, 3];
m1 = myMedian(v) % output should be 3
m2 = median(v) % output should be 3

```Here, we have created a vector v and passed it to the myMedian function. We have stored the output in m1 variable. We have also used the built-in median function to calculate the median of the vector v and stored it in m2 variable. Finally, we have displayed both the medians and compared them. They should be equal.

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Answer: x≠±2, x<±2, x>1, x<1, and x>±2

explanation:

for this equation to be true

Case 1

either (x-1) should be a negative while (x²-4) should be positive

which gives:-

x-1<0

so, x<1

also, x²-4>0

so, x²>4

⇒x>±2

Case 2:-

x-1>0 and x²-4<0

which gives

x>1 and x²-4<0

so, x>1 or x<±2

Case 3:-

either way, the denominator can't be 0

so, x²-4≠0

which gives,

x≠±2

compiling all, we have,

x≠±2, x<±2, x>1, x<1, and x>±2

These solutions can be pointed to as points on a number line and the behavior shows their discontinuity.

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f (9) =  15  is the output for the given input .

How can you tell whether a function is linear or not?

f(x)= 2 x   - 33

Put x = 9    ⇒   2 × 9  - 33

                ⇒     18 - 33

                ⇒       15

Therefore f (9) =  15

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Answer: the one that passes through the y-intercept of -3

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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The solution to the given initial value problem is \(y(t) = 7t^2 + 7\). To solve the initial value problem, we first find the characteristic equation by substituting \(y = e^{(rt)\) into the given differential equation.

This gives us the equation \(r^2 - 7r = 0\). Factoring out r, we get r(r - 7) = 0. Thus, we have two possible values for r: r = 0 and r = 7.

For the case of r = 0, the corresponding solution is \(y_1(t) = c_1,\) where c_1 is a constant.

For the case of r = 7, the corresponding solution is \(y_2(t) = c_2e^{(7t)\), where c_2 is another constant.

To find the particular solution that satisfies the initial conditions, we substitute \(y = y_1(t) + y_2(t)\) into the initial conditions y(0) = 7 and y'(0) = 0. We obtain the following equations:

\(y_1(0) + y_2(0) = 7,\\y_1'(0) + y_2'(0) = 0.\)

Substituting the solutions for y_1(t) and y_2(t), we have:

\(c_1 + c_2 = 7,\\c_2 * 7 = 0.\)

From the second equation, we find \(c_2 = 0\). Substituting this value into the first equation, we get \(c_1 = 7.\)

Therefore, the particular solution satisfying the initial conditions is \(y(t) = 7t^2 + 7.\)

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In statistical hypothesis testing, the null hypothesis is the status-quo hypothesis, while the alternative hypothesis is the research hypothesis.

The Null Hypothesis is a statement that there is no significant difference between two or more populations, or no significant effect of an intervention or treatment.

This represents the current state of knowledge or understanding and assumes that any observed differences or effects are due to chance.

The Alternative Hypothesis is a statement that there is a significant difference between two or more populations, or a significant effect of an intervention or treatment. 0

This  represents the researcher's hypothesis, which they aim to test with the data.

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The given question is incomplete , the complete question is

Which hypothesis, the null or the alternative, is the status-quo hypothesis? Which is the Research hypothesis?

Answer: It has 13 sides

Step-by-step explanation: