A toolbox has the dimensions of 8 in by 6 in by 7 in. If Jenny plans to double all three dimensions to build a larger toolbox, she believes she would double the volume of the toolbox. Is she correct

Answer:

the correct answer is 7.50x

:)

The linear equation in slope intercept form for the given model of the data with slope 7.50 and y-intercept 0 is equal to y = 7.50x.

To model the data in the table with a linear equation in slope-intercept form, use the formula:

y = mx + b

where:

y represents the dependent variable (Wages Earned),

x represents the independent variable (Time Worked),

m is the slope of the line, and

b is the y-intercept (the value of y when x = 0).

To find the slope (m) and the y-intercept (b), we need to use the given data points (x, y).

Let's calculate the slope first:

Slope (m) = (change in y) / (change in x)

Take any two points from the table to calculate the slope. Let's use the first and last data points:

(x₁, y₁) = (1, 7.50)

(x₂, y₂) = (9, 67.50)

Slope (m) = (67.50 - 7.50) / (9 - 1)

Slope (m) = 60.00 / 8

Slope (m) = 7.50

Now, let's calculate the y-intercept (b) using any data point, use the first data point:

(x₁, y₁) = (1, 7.50)

Now, substitute the slope and one of the data points into the slope-intercept form equation to find the y-intercept (b):

y = mx + b

7.50 = 7.50(1) + b

7.50 = 7.50 + b

Subtract 7.50 from both sides to isolate b:

b = 7.50 - 7.50

b = 0

So, the y-intercept (b) is 0.

Now, the values for the slope (m) and y-intercept (b), and the linear equation in slope-intercept form is:

y = 7.50x + 0

However, since the y-intercept is 0, it doesn't affect the equation, so the final simplified linear equation in slope-intercept form is:

y = 7.50x

Interpretation:

The slope (7.50) represents the rate at which wages are earned per hour worked.

It tells us that for every additional hour worked, the wages earned increase by $7.50.

The y-intercept (0 in this case) represents the starting point of the wages when no time has been worked.

It means that when the employee has not worked any hours (x = 0), they have not earned any wages (y = 0).

However, since the y-intercept is 0, it doesn't contribute to the equation.

Therefore, the linear equation in slope intercept form is y = 7.50x.

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A random sample taken with replacement from the original sample, and having the same size as the original sample, is known as a "bootstrap sample" or "bootstrap replication."

Bootstrapping is a resampling technique used to estimate the sampling distribution of a statistic. When we have a limited sample size and want to draw inferences about the population, we can use bootstrapping to create multiple resamples by randomly selecting observations from the original sample with replacement.

Here's how it works:

The key idea behind bootstrapping is that the original sample serves as a proxy for the population, and by repeatedly resampling from it, we can approximate the sampling distribution of the statistic of interest. This approach is especially useful when the underlying population distribution is unknown or non-normal.

By using a bootstrap sample that is the same size as the original sample, we maintain the same sample size and capture the variability present in the original data.

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The number that Bethany thinks of is 104, and 1/13 of that number is 8.

Word problems in mathematics involve arithmetic operations and the use of variables to solve those problems. Word problems are problems we encounter in our daily life and with the use of correct mathematical interpretation, we can provide accurate solutions to them.

Let the number that  Bethany thinks of be (x) for example. So, 6/13 of x is equal to 48.

i.e.

(6/13) * (x) = 48

By dividing both sides with (6/13), we have:

x = 48 ÷ (6/13)

x = 48 × (13/6)

x = 8 × 13

x = 104

Thus, 6/13 of the number that Bethany thinks of that gives us 48 is 104. Now, to find 1/13 of 104, we have:

1/13 × 104

= 8

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Answer:

There is no question attached.

Step-by-step explanation:

Answer:

1/5 * 1/2 = 1/10

Step-by-step explanation:

Choose any two factor fractions less than 1. The result (product) will be necessarily smaller than each of the factors. Above answer is an example

1/5 * 1/2 = 1/10, where it is clear that

1/10 < 1/5 and

1/10 < 1/2

Answer: It's the third one / C

Step-by-step explanation:

Answer:

$1.47 per yard

Step-by-step explanation:

3 feet = 1 yard

9 feet = 3 yards

set up a proportion

\(\frac{3}{4.41} = \frac{1}{x}\)

cross multiply; 3x = 4.41 * 1

3x = 4.41

divide both sides by 3

x = 1.47

$1.47 per yard

Answer:

857.96

Step-by-step explanation:

964/100=9.64

9.64x11=106.04

964-106.04=857.96

\(QUESTION:\)

a body of mass 10kg at rest is subjected force of 16N. Find the kinetic energy at end of 20s.

\(SOLUTION:\)

\(Given\) \(that:\)

» Finding for the acceleration:

\(a=F/m\)

\(a=16N/10kg\)

\(a=1.6/s^2\)

» Then velocity after 20 seconds will be:

\(v=u+at\)

\(v=0+1.6m/s^2(20s)\)

\(v=32/s^\)

» Now , Finding for the kinetic energy:

\(K=1*2mv^2\)

\(K=1/2(10)(32)^2\)

\(K=5(1024)\)

\(K=5120\) \(J\)

\(ANSWER:\)

===================================

\( \large \sf \underline{Problem:}\)

===================================

\( \large \sf \underline{Answer:}\)

\( \huge \qquad \quad \sf{5,120 \: Joules}\)

===================================

\( \large \sf \underline{Solution:}\)

Firstly, find the acceleration:

Secondly, the velocity after 20 seconds will be:

Lastly, find the kinetic energy:

Hence, the kinetic energy at the end is 5,120 Joules.

===================================

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Step-by-step explanation:

Hey there!

Your answer is Option B and C.

For option B: the exterior angle is equal to sum of two opposite interior angles. (theorem of triangle).

For Option C: angle 4 and angle 3 is 180° (i.e angle 3 + angle 4 = 180°) Or (angle 4= 180°-angle 3).

Therefore, answer: Option B and C.

Hope it helps...

Answer:

x=6just did this on ed!!

Step-by-step explanation:

Answer:

X=6 is the right answer

Step-by-step explanation:

The values of determinant ,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

The given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right| = -6\)

This is possible when we take,

a = -1 , e = 1, i = 6, b = c = 1

And d = g = h = 0

The the determinant becomes,

\(\left|\begin{array}{ccc}-1&1&1\\0&1&1\\0&0&6\end{array}\right|\)

Since this is an upper triangular matrix,

Therefore,

Determinant be the product of diagonal element,

Thus,

⇒  -1x1x6 = -6

Now using these values we can calculate the further given determinants,

Q4: Given that,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right|\)

Therefore put the values of a, b, c, d, e, f, g, h, and i defined above,

\(\left|\begin{array}{ccc}3(-1)&3(1)&3(1)\\0&-1&-1\\0&0&4(6)\end{array}\right|\)

Therefore, Determinant be,

⇒ -3 x  (-1) x 24 = 72

Hence,

\(\left|\begin{array}{ccc}3a&3b&3c\\-d&-e&-f\\4g&4h&4i\end{array}\right| = 72\)

Q5 : Given determinant is,

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right|\)

put the values of a, b, c, d, e, f, g, h, and i defined above,

we get,

\(\left|\begin{array}{ccc}-1&1&1\\0&2&2\\-3&3&9\end{array}\right|\)

= -1(12) -1(6) + 1(6)

= -12

Hence, The determinant be

\(\left|\begin{array}{ccc}a&b&c\\2d&2e&2f\\g+3a&h+3b&+3ci\end{array}\right| = - 12\)

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The complete question is attached below:

Answer:

2 1/3

Step-by-step explanation:

8-1=7

9-6=3

7/3= 2 1/3

Assuming these triangles are similar, first find the standard ratio between them by dividing the corresponding sides of triangle VUT by RSQ:

\(R=\frac{36}{54} =\frac{2}{3}\)

Now we know that if we multiply any side of triangle RSQ by the ratio (2/3), we can find the corresponding side of triangle VUT. Using this logic, multiply side RQ by our common ratio to find what UT should equal:

\(24*\frac{2}{3} =UT\)

\(16=UT\)

Finally, set up an equation for this side:

\(x+5=16\)

Solve for x:

\(x=11\)

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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Answer:

SAS, because vertical angles are congruent.

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

so I believe we can do 15% of 45, so that is 6.75.

so now we do:

 45.00

+  6.75

 51.75 is your answer!

please mark brainliest if correct!

The length of the function y = 3x over the given interval [0, 2] is 3.2 units

For given question,

We have been given a function  y = 3x

We need to find the length of the function on the interval x = 0 to x = 2.

Let f(x) = 3x where f(x) = y

We have  f'(x) = 3,  so  [f'(x)]² = 9.  

Then the arc length is given by,

\(\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2\)

This means, the arc length is 3.2 units.

Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units

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Answer:

2 1/3hrs→ $18.20

1 hr→ $7.80

5 1/4hrs→ $7.80x5 1/4= $40.95

Step-by-step explanation:

here u go pls make me brainliest

Answer:

just above 41 dollars but since there is only two decimals $41.00

Step-by-step explanation:

A reliable test is one that can measure what it is supposed to measure consistently, yield the same results when given a second time, and provide an unbiased score, ensuring that the results obtained are valid and reliable. Answer is D.

The reliability of a test refers to its consistency and stability over time and under different conditions. It is the extent to which a test is able to yield the same results repeatedly. A reliable test should be able to measure what it is supposed to measure consistently, without any errors or fluctuations. Additionally, it should provide an unbiased score, which means that it should not be influenced by any external factors such as personal biases or environmental factors. Therefore, the answer to the question is D, all of the above.

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The value of x + y is  (xy -115)/4 .

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

given expression is ,

3x + 2y + xy = 115 + 7x + 6y

so, we have to find the value of x + y

take the value of x and y at one side ,

xy = 7x + 6y - 3x - 2y +115

xy = 4x + 4y + 115

take the integer on other side,

4x + 4y = xy -115

take 4 common from left hand side,

4( x + y) = xy - 115

x + y = (xy -115)/4

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Answer:

9.1 kilograms

Step-by-step explanation:

9+.1 = 9.1 kilograms

Answer:

Step-by-step explanation:

This is an arithmetic sequence with a common difference of -12. To find the recursive formula, let's start by finding a general formula for the nth term.

Let a be the first term (3 in this case) and d be the common difference (-12 in this case). The nth term of the sequence can be found using the formula:

an = a + (n-1)d

Using this formula, the first four terms of the sequence are:

a1 = a + (1-1)d = 3 + (1-1)(-12) = 3

a2 = a + (2-1)d = 3 + (2-1)(-12) = 3 - 12 = -9

a3 = a + (3-1)d = 3 + (3-1)(-12) = 3 - 24 = -21

a4 = a + (4-1)d = 3 + (4-1)(-12) = 3 - 36 = -33

So, the sequence is: 3, -9, -21, -33, ...

We can now use this information to write the recursive formula for the sequence:

an = a(n-1) + d

So, for the sequence 3, -9, -21, -33, ... the recursive formula is:

an = an-1 + (-12)

This formula tells us how to find the nth term of the sequence given the (n-1)th term. The sequence starts with the first term a1 = 3 and the common difference is d = -12. By repeatedly applying the formula, we can find the values for the subsequent terms in the sequence.

x² + 6x + 5 = 0

To find the solution, we can use the quadratic formula.

The solutions are (-1, 0) and (-5, 0)

The expression 126 \(m^4\) - 63\(m^3\) is equivalent to the given expression                  7m² * (2m -1 )*(m9).

The properties of multiplication are:

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

Here, you should apply the distributive property and power rules for solving this expression and finding an equivalent expression.

First, you should multiply the factors (2m -1)*(9m). As result, you find 18m²-9m.

After that, you should do the product between the previous result (18m²-9m) and the factor 7m². Thus,

(18m²-9m) * 7m²= 126 \(m^4\) - 63\(m^3\).

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Responda:

GRÁFICO DE TEMPO DE VELOCIDADE

Explicação passo a passo:

Para a pergunta, encontre o gráfico de velocidade-tempo no anexo.

O gráfico que melhor representa a velocidade desse avião em função do tempo é o gráfico velocidade-tempo. O gráfico de velocidade e tempo é um gráfico que representa o movimento de um objeto esquematicamente usando linhas. Ele é plotado em um plano de coordenadas com o eixo xe o eixo y.

A função de velocidade é posicionada no eixo y, enquanto o tempo gasto ao longo da viagem está no eixo x.

Pelo anexo, pode-se ver que o avião acelera em OA, possui velocidade constante em AB e CD e tem aceleração (desaceleração) negativa em BC e DE.

Answer:

C is the answer because it makes the most sense

Answer:

\(\{-12,12\}\)

Step-by-step explanation:

\(-|-x|=-12\\|-x|=12\\|x|=12\\\therefore x\in\{-12,12\}\)