How much will a person pay for 14.9 pounds of bananas at a price of $2.36 per pound?

Answer:

\(x=-2,y=6\)

Step-by-step explanation:

We can add these 2 equations together to eliminate \(x\) from the equation, leaving us to solve for \(y\).

\((4x+8y) + (-4x+y) = (40) + (14)\\9y = 54\\\boxed{y = 6}\)

Now we can solve for \(x\) through substituting \(y\).

\(4x+8y=40\\4x+8(6)=40\\4x+48=40\\4x=-8\\\boxed{x=-2}\)

We can check our answers by substituting \(x\) and \(y\) into one of the equations and seeing if the equation is true.

\(-4x+y=14\\-4(-2)+6=14\\8+6=14\\14=14\)

LHS = RHS so our answers are correct.

Answer:

Hey there!

11 meters is about 36 feet tall.

Let me know if this helps :)

Answer:

you answer is :33.8328

Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

To find the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we are given sides a = 10 and b = 12, and we need to find the missing side c.

Using the Pythagorean theorem:

c^2 = a^2 + b^2

Substituting the given values:

c^2 = 10^2 + 12^2

c^2 = 100 + 144

c^2 = 244

Taking the square root of both sides to solve for c:

c = √244

c ≈ 15.62

Rounding to 2 decimal places, the missing side of the right triangle is approximately 15.62 units.

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1/2 of 32 is equal to 16.

Answer:

16

Step-by-step explanation:

Step 1:

0.5 × 32

Answer:

16

Hope This Helps :)

The required linear model is y = 5800 + 324x.

What is a linear equation?

Equations whose variables have a power of one are called linear equations.

Given, a bakery sells 5800 muffins in 2010

the bakery sells 7420 muffins in 2015

So, the number of muffins sold after 2010 through 2015:

7,420 - 5,800 = 1,620

Then, the sales per year:

1,620 muffins sold since 2010 / 5 years = 324 muffins per year.

Then our linear model will be:

y = 5800 + 324x

Hence, the required linear model is y = 5800 + 324x.

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Using the diagram and given measurements the area of the shaded potion is solved to be 46 cm^2

Area of the shaded portion is solved using the following factors

Entire area of the rectangle

= length *  width

= 42 * 21

= 882 cm^2

Area of the smaller rectangle

= length * width

= 28 * 15

= 420 cm^2

Area of the shaded portion

= Entire area of the rectangle  -  Area of the smaller rectangle

= 882 cm^2 - 420 cm^2

= 462 cm^2

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Answer:

39

Step-by-step explanation:

If ZABC is a 90 degree angle all together and ZDBC is 51 degrees

Subtract 51 from 90 to get the angle for ZABD

90-51=39

\( \purple{ \huge{ \tt{ \: ✨ Answer ✨ \: }}}\)

\(The \: \: answer \: \: is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: c. \: \frac{2}{7} \: \: }}}} }\)

Answer:

D

Step-by-step explanation:

\( \sin(60) = \frac{6 \sqrt{3} }{x} \\ x = \frac{6 \sqrt{3} }{ \sin(60) } = 12 \\ \tan(60) = \frac{6 \sqrt{3} }{y} \\ y = \frac{6 \sqrt{3} }{ \tan(60) } = 6\)

Answer:21,000 profit

Step-by-step explanation:

Answer:

75in^2

Step-by-step explanation:

5×5×4/2=50

5×5=25

50+25=75

Using the definition of the derivative of a function at a point, we can show that the derivative of a constant function is equal to 0.

To understand why this is the case, recall that the derivative of a function f at a point c is defined as the limit of the difference quotient as h approaches 0:

f'(c) = lim (h -> 0) [f(c + h) - f(c)] / h

Now, let's consider a constant function f(x) = k, where k is some constant. Then, for any value of x, we have f(x) = k.

Using the definition of the derivative, we can find the derivative of f at any point c:

f'(c) = lim (h -> 0) [f(c + h) - f(c)] / h

= lim (h -> 0) [k - k] / h

= lim (h -> 0) 0 / h

= 0

Since f'(c) = 0 for all values of c, we can conclude that the derivative of a constant function is equal to 0.In conclusion, using the definition of the derivative of a function at a point, we can show that the derivative of a constant function is equal to 0. This is because the difference quotient simplifies to 0 for any constant function, regardless of the value of the constant.

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Answer: 12.25

Step-by-step explanation:

Every day the bag of bird food decreases by 1 3/4 or 1.75.

It decreases for 7 days, so the amount decreased for a week would be 1.75(7) which is 12.25.

Research Question: Does the overall GPA of students differ according to student gender (Gender) and whether the student GPA has increased or decreased since the previous semester?
Null Hypothesis: There is no difference in overall GPA of students according to gender and whether the student GPA has increased or decreased since the previous semester.
Alternative Hypothesis: There is a difference in overall GPA of students according to gender and whether the student GPA has increased or decreased since the previous semester.

Before conducting the ANOVA, it is necessary to ensure that all assumptions have been met. These include normality, homogeneity of variance, and linearity. A data transformation may be necessary if assumptions are not met.

Conducting an ANOVA revealed that there was a statistically significant difference in the overall GPA of students according to gender and whether the student GPA had increased or decreased since the previous semester. Furthermore, an interaction effect between student gender and modality was found, with males tending to perform better in the on-ground and hybrid modalities, while females tended to perform better in the online modality.

In conclusion, this study found that there was a statistically significant difference in the overall GPA of students according to gender and whether the student GPA had increased or decreased since the previous semester. Furthermore, an interaction effect between student gender and modality was found, with males tending to perform better in the on-ground and hybrid modalities, while females tended to perform better in the online modality.

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The values for the mean and standard deviation for the original sample are Moriginal = 0.625 and Soriginal = 0.9661, respectively.

Compute the mean and standard deviation for the new sample.

The mean of the original sample Soriginal is 0.625.

Moriginal = 0.625.

For the given sample of n = 8 scores: 0, 1, 1/2, 0, 3, 1/2,0,1.

We have to simplify the arithmetic by first multiplying each score by 2 to obtain a new sample of 0, 2, 1, 0, 6, 1, 0, and 2. Then, we will compute the mean and standard deviation for the new sample.

The calculations are:

\($\overline{x}_{\text{new}}=\frac{\sum x_{\text{new}}}{n}=\frac{0+2+1+0+6+1+0+2}{8}=1.25$$\)

This implies that the mean of the new sample is 1.25.Mnew = 1.25

Now, let us calculate the standard deviation.

To do so, we have to calculate the variance of the data. The variance is the average of the squared deviation from the mean.

That is,

\($\sigma_{\text{new}}^2=\frac{\sum(x_{\text{new}}-\overline{x}_{\text{new}})^2}{n-1}\)

\(=\frac{(0-1.25)^2+(2-1.25)^2+(1-1.25)^2+(0-1.25)^2+(6-1.25)^2+(1-1.25)^2+(0-1.25)^2+(2-1.25)^2}{8-1}\\=3.7321\)

This implies that the variance of the new sample is 3.7321.

Now, we calculate the standard deviation as:

\($\sigma_{\text{new}}=\sqrt{3.7321}=1.9322$\)

Thus, the standard deviation of the new sample is 1.9322.

Snew = 1.9322

We will use the formula for calculating the standard deviation of a new sample from an old sample, as follows:

\($\sigma_{\text{old}}=\frac{\sigma_{\text{new}}}{2}=\frac{1.9322}{2}=0.9661$$\)

So, the standard deviation of the original sample is 0.9661.

Soriginal = 0.9661

To find the mean of the original sample, we will use the following formula:

\($\overline{x}_{\text{old}}=\frac{\overline{x}_{\text{new}}}{2}=\frac{1.25}{2}=0.625$$\)

Therefore, the mean of the original sample is 0.625.

Moriginal = 0.625

Thus, the values for the mean and standard deviation for the original sample are Moriginal = 0.625 and Soriginal = 0.9661, respectively.

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Answer:

not you cheating on mr lane test

Step-by-step explanation:

Answer:b=3

Step-by-step explanation:

\(\begin{array}{c|c|c|c|c|c|c|c}&x^6&x^5&x^4&x3&x^2&x&1\\---&---&---&---&---&---&---&---\\&1&b&0&-2&0&-5&6\\x=-2&&-2&-2b+4&4b-8&-8b+20&16b-40&-32b+90\\---&---&---&---&---&---&---&---\\&1&b-2&-2b+4&4b-10&-8b+20&16b-45&-32b+96=0\\\end {array}\\\\\\-32b+96=0\\\\b=\dfrac{96}{32} \\\\\boxed{b=3}\\\)

Answer:

82

Step-by-step explanation:

&&'&_555555555----&&&&---

Answer:

9X10-8=82

Step-by-step explanation:

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

At the null hypothesis, it is tested if the students study 20 hours, that is:

\(H_0: \mu = 20\).

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

\(H_1: \mu < 20\).

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

The parameters are:

In this problem, the values of the parameters are given as:

\(\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33\).

Hence, the value of the test statistic is:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}\)

\(t = -3.39\)

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

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The given expression is $\frac{6}{t}+\frac{8}{u}-\frac{9}{v}$ and we need to rewrite this expression without any denominator in it. Step-by-step explanation: We can use the concept of the Least Common Multiple (LCM) of the denominators to remove the fractions in the expression. By taking the LCM of the denominators of the given expression, we have,$LCM\text{ of }t, u, v = t \cdot u \cdot v$ Now, multiplying each term of the given expression with the LCM $t \cdot u \cdot v$, we get,$\frac{6}{t}\cdot t \cdot u \cdot v+\frac{8}{u}\cdot t \cdot u \cdot v-\frac{9}{v}\cdot t \cdot u \cdot v$$6uv + 8tv - 9tu$$\therefore \text{The given expression without any denominator is } 6uv + 8tv - 9tu.$Thus, we can rewrite the given expression $\frac{6}{t}+\frac{8}{u}-\frac{9}{v}$ without any denominator in it as $6uv + 8tv - 9tu$.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM. Take the positive integers 4 and 6 as an illustration.

There are four multiples: 4,8,12,16,20,24.

6, 12, 18, and 24 are multiples of 6.

12, 24, 36, 48, and so on are frequent multiples for the numbers 4 and 6. In that lot, 12 would be the least frequent number. Now let's attempt to get the LCM of 24 and 15.

LCM of 24 and 15 is equal to 222235 = 120.

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We are given a path c, and a vector field f. The path c is defined by r(t) = (t³, t², -2t) for 0 ≤ t ≤ 1. The vector field f = (-4sin x, 5cos y, 10xz). We are required to evaluate the line integral ∫cf ⋅ dr using the given information.To evaluate the line integral, we use the following formula:∫cf ⋅ dr = ∫abf(r(t)) ⋅ r'(t) dt.

Here, we can see that r(t) is already in vector form, so we don't need to convert it. We just need to find r'(t).Differentiating r(t) with respect to t, we get:r'(t) = (3t², 2t, -2)Substituting the given values of f and r'(t), we get:∫cf ⋅ dr = ∫₀¹ (-4sin t³, 5cos t², -20t³) ⋅ (3t², 2t, -2) dt= ∫₀¹ (-12t⁴ sin t³ + 10t cos t² - 20t⁴) dt= (-3t⁴ cos t³ + 5t³ sin t² - 5t⁵) from 0 to 1= -3 cos 1 + 5 sin 1 - 5The final answer is -3 cos 1 + 5 sin 1 - 5.

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Answer:

the moment of inertia of the uniform cylinder is 0.154 kg * m^2.

Step-by-step explanation:

Answer:

(-∞, -1]∪{5}

Step-by-step explanation:

We know that:

f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.

So we can just look at the graph, we can see that in the interval:

(-∞, -1]   (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)

the graph is below or intersecting the x-axis

and this also happens at x = 5 or just denoted as {5}

Then the correct notation is:

(-∞, -1]∪{5}

Answer:

Distance = 5 units

Slope = \(\displaystyle\frac{4}{3}\)

Step-by-step explanation:

Hi there!

1) Finding the distance of the line

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) where two endpoints of a line are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (-7,2) and (-4,6):

\(d=\sqrt{(-4-(-7))^2+(6-2)^2}\\d=\sqrt{(-4+7)^2+(6-2)^2}\\d=\sqrt{(3)^2+(4)^2}\\d=\sqrt{9+16}\\d=\sqrt{25}\\d=5\)

Therefore, the length of the line/distance of the line is 5 units.

2) Finding the slope of the line

\(m=\displaystyle\frac{y_2-y_1}{x_2-x_1}\) where two points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the points (-7,2) and (-4,6):

\(m=\displaystyle\frac{6-2}{-4-(-7)}\\\\m=\displaystyle\frac{6-2}{-4+7}\\\\m=\displaystyle\frac{4}{3}\)

Therefore, the slope of the line is \(\displaystyle\frac{4}{3}\).

I hope this helps!

Answer:

$25.44

Step-by-step explanation:

35% of $39 is $13.65

$39-$13.65=$25.44

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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