7= -5x
Select one:
O1. Multiply each side by 5.
O2. Multiply each side by -5.
O3. Multiply each side by 1/5.
04. Multiply each side by -1/5.

The volume of the pencil cup is 31 1/2. Option D is answer.

To find the volume of a right rectangular prism, you need to multiply its length, width, and height. Here, the base area is given as 9, which means the length times width of the base is 9. As the shape is a right rectangular prism, we can assume that the length and width are equal to 3. So, the volume can be calculated as follows:

Volume = Base area x Height

Volume = 9 x 3 1/2

Volume = 31 1/2

Therefore, the correct answer is Option D, 31 1/2.

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Answer:

Option 2

Step-by-step explanation:

if an input produces more than one output, the table does not represent a function.

Answer:

83/100

Step-by-step explanation:

Decimals to fractions

Based on the normal probability table, the value of x corresponding to the random number U = 0.9 is approximately 1.28.

a. In the graphical version of the inverse transform method, the random number U represents a point on the y-axis of the graph of the normal cumulative distribution function (CDF). The CDF of a standard normal distribution ranges from 0 to 1. Since the given random number U = 0.9 is close to the upper end of the range, it is expected that the corresponding x value will be positive.

b. To determine the value of x using a normal probability table, we need to find the z-score that corresponds to the cumulative probability of 0.9. In this case, we are using a standard normal distribution with a mean (μ) of 0 and a standard deviation (σ) of 1.

Looking up the cumulative probability of 0.9 in a normal probability table, we find that the closest value is 0.8997. The corresponding z-score is approximately 1.28.

To find the value of x, we can use the formula: x = μ + (z * σ). Since μ = 0 and σ = 1, the formula simplifies to x = z.

Therefore, based on the normal probability table, the value of x corresponding to the random number U = 0.9 is approximately 1.28.

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Correlation or co variation  a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) .

What is general deterrence?

In contrast to "specific" deterrence, which refers to the effects of legal punishment on those who actually receive them, "general" deterrence refers to the consequences of legal punishment on the broader population (possible offenders).

How do you explain correlation?

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The complete question is -

--------------- a criterion of causality that requires a change in a predictor variable (X) to be consistently associated with some change in the explanatory variable (Y) ?

Answer:

Are there certain options?

Step-by-step explanation:

2^5 is in other words 2x2x2x2x2

the answer to this is 32

Hope I helped?

Answer:

32

Step-by-step explanation:

the value of the iterated integral is (π/8) (2 - e^(-16)).

We have the iterated integral:

∫[0,4] ∫[0,√(16-x^2)] e^(-x^2-y^2) dy dx

To convert this to polar coordinates, we need to express x and y in terms of r and θ.

We have:

x = r cos(θ)

y = r sin(θ)

We also need to express the differential element dA in terms of polar coordinates. We have:

dA = r dr dθ

Substituting these expressions into the given integral, we get:

∫[0,π/2] ∫[0,4] e^(-r^2) r dr dθ

The limits of integration for θ are 0 to π/2 because the region lies in the first and second quadrants.

We can evaluate this integral using the fact that the integral of e^(-r^2) is √π/2:

∫[0,π/2] ∫[0,4] e^(-r^2) r dr dθ

= ∫[0,π/2] [-1/2 e^(-r^2)] [0,4] dθ

= ∫[0,π/2] (1/2 - 1/2 e^(-16)) dθ

= π/4 - π/8 (1 - e^(-16))

= (π/8) (2 - e^(-16))

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The given curve is y = x³ − 2x and it has to be rotated about the x-axis to find the area of the surface. The formula to find the surface area of a curve obtained by rotating about the x-axis is given by:$$
A = 2\pi \int_a^b y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx
$$Differentiating the curve with respect to x, we get:$$
y = x^3 - 2x
$$$$
\frac{dy}{dx} = 3x^2 - 2$$Now, squaring it, we get:$$
\left(\frac{dy}{dx}\right)^2 = 9x^4 - 12x^2 + 4$$$$
1 + \left(\frac{dy}{dx}\right)^2 = 1 + 9x^4 - 12x^2 + 4$$$$
= 9x^4 - 12x^2 + 5$$Putting the values in the formula, we get:$$
A = 2\pi \int_a^b y \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx$$$$
= 2\pi \int_{-1}^2 (x^3 - 2x) \sqrt{9x^4 - 12x^2 + 5} dx$$Simplifying it further, we get:$$
A = 2\pi \int_{-1}^2 (x^3 - 2x) \sqrt{(3x^2 - 1)^2 + 4} dx$$$$
= 2\pi \int_{-1}^2 (x^3 - 2x) \sqrt{9x^4 - 6x^2 + 5} dx$$Now, substituting $9x^4 - 6x^2 + 5 = t^2$, we get:$$(18x^3 - 12x)dx = tdt$$$$
(3x^2 - 2)dx = \frac{tdt}{3}$$When $x = -1$, $t = \sqrt{20}$ and when $x = 2$, $t = 5\sqrt{5}$Substituting the values in the formula, we get:$$
A = 2\pi \int_{\sqrt{20}}^{5\sqrt{5}} \frac{t^2}{27} dt$$$$
= \frac{28\pi}{27} \left[ t^3 \right]_{\sqrt{20}}^{5\sqrt{5}}$$$$
= \frac{28\pi}{27} \left[ 125\sqrt{5} - 20\sqrt{20} - 5\sqrt{5} + 2\sqrt{20} \right]$$$$
= \frac{28\pi}{27} \left[ 120\sqrt{5} - 18\sqrt{20} \right]$$$$
= \frac{56\pi}{27} \left[ 30\sqrt{5} - 9\sqrt{20} \right]$$$$
= \frac{56\pi}{27} \left[ 30\sqrt{5} - 18\sqrt{5} \right]$$$$
= \frac{56\pi}{27} \cdot 12\sqrt{5}$$$$
= \boxed{224\sqrt{5}\pi/3}$$Therefore, the area of the surface obtained by rotating the curve $y = x^3 - 2x$ about the x-axis is $\boxed{224\sqrt{5}\pi/3}$.

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The total area of the regions between the curves is 1.134π square units

From the question, we have the following parameters that can be used in our computation:

x = ∛y

We have the interval to be

0 ≤ y ≤ 1

The area of the regions between the curves is then calculated using

\(A =2\pi \int\limits^a_b {f(x) * \sqrt{1 + (dy/dx)^2} } \, dx\)

From x = ∛y, we have

y = x³

Differentiate

dy/dx = 3x²

So, the area becomes

\(A =2\pi \int\limits^1_0 {x^3 * \sqrt{1 + (3x^2)^2} } \, dx\)

Expand

\(A =2\pi \int\limits^1_0 {x^3 * \sqrt{1 + 9x^4 } \, dx\)

Integrate

\(A =2\pi \frac{(9x^4 + 1)^{\frac{3}{2}}}{54}|\limits^1_0\)

Expand

\(A = 2\pi [\frac{(9(1)^4 + 1)^{\frac{3}{2}}}{54} - \frac{(9(0)^4 + 1)^{\frac{3}{2}}}{54}]\)

This gives

A = 2π * 0.5671

Evaluate the products

A = 1.1342π

Approximate

A = 1.134π

Hence, the total area of the regions between the curves is 1.134π square units

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The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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The correct answer is D. All of the above. When the spread of scores around the arithmetic mean gets smaller, it means that the data points are closer to the mean.

This has several implications:
A. The coefficient of variation (CV) gets smaller: The coefficient of variation is the ratio of the standard deviation to the mean. When the standard deviation decreases (due to smaller spread of scores), the CV also decreases.
B. The interquartile range (IQR) gets smaller: The IQR represents the range between the first quartile and the third quartile. When the spread of scores decreases, the values at the first and third quartiles are closer together, resulting in a smaller IQR.
C. The standard deviation gets smaller: The standard deviation measures the average distance of data points from the mean. As the spread of scores decreases, the data points are closer to the mean, resulting in a smaller standard deviation.
In summary, when the spread of scores around the arithmetic mean gets smaller, the coefficient of variation, interquartile range, and standard deviation all decrease.

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Answer:

5/72

Step-by-step explanation:

I am pretty sure its right

Answer:

No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

Step-by-step explanation:

4c + 6a < = 120 ...4(20) + 6(6) = 116 ← correct

4c + 4a < = 100....4(20) + 4(6) = 104 ←incorrect

Hope this helpsʕ•ᴥ•ʔ

The median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.

]The median of any given data set is the data value that lies at the center of the data set when ordered.

Given the data set, 30,17,47,47,26,17,36,31,21,17, order the data set from the least to the greatest:

17, 17, 17, 21, 26, 30, 31, 36, 47, 47

The center or middle of the data set is 28.

Thus, the median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.

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Yes. Parabola is possible to write an equation in the form f(x) = (x-a)(x-b)

Parabola is a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

A parabola can be described in the form of a general equation

\(y=ax^{2} +bx+c\), with a, b, c is integers.

The form f(x)=(x-a)(x-b) can be made in other forms :

\(y=(x-a)(x-b)\)

\(y=x^{2} -bx-ax+ab\)

\(y=x^{2} -(b+a)x+ab\)

That form of the equation is the same as : \(y=ax^{2} +bx+c\)

With :  

a = 1

b = -(b+a)

c = ac  

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Step-by-step explanation:

P = R - C

to get R alone on one side I need to add C on both sides, and we get

P + C = R

Answer:

the first answer choice 4/16.

Answer:

x < - 3

Step-by-step explanation:

Given

4x + 6 < - 6 ( subtract 6 from both sides )

4x < - 12 ( divide both sides by 4 )

x < - 3

Answer:

9π

Step-by-step explanation:

6÷2=3 to find the radius

3^2=9 to find the area

so it's B. 9π because u times it by π

Area = πr² where r represents the radius of the circle

Since we're given the diameter, we divide by 2 to find the radius.

Remember, the radius is just the straight line from the center of a circle to its circumference of (perimeter).

So our radius is 6/2 or 3 cm

Since we're given that the radius of our circle is 3,

we have π(3 cm)² or π(9 cm²) which is written as 9π cm².

JB Hi Fi is an Australian electronics retailer with over 250 stores in Australia and New Zealand. The company faces a number of financial and non-financial risks.

Financial risks

Non-financial risks

JB Hi Fi can manage these risks by implementing a number of risk management techniques.

By implementing these risk management techniques, JB Hi Fi can reduce its exposure to financial and non-financial risks and improve its chances of long-term success.

In addition to the above, JB Hi Fi can also take steps to improve its ESG performance. This could include:

By improving its ESG performance, JB Hi Fi can attract more customers and investors, and build a more sustainable business.

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Answer:

$192

Step-by-step explanation:

8 x 12 = 96

2.00 x 96 = 192

Answer:

6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

[9 × (10 - 2)] ÷ [2 + (5 × 2)]

Step 2: Bracket Parenthesis

[9 × 8] ÷ [2 + 10]

Step 3: Brackets

72 ÷ 12

Step 4: Divide

6

Answer:

A. x1/15

Step-by-step explanation:

Answer:

It would be \(x^{\frac{8}{15}}\) or D

Hope this helps

Answer:

the answer is

3a/2

Step-by-step explanation:

1/2 × 3a = 3a/2

Step-by-step explanation:

1/2 times 3a=3a/2

hence one and a half a, or 1 and 1/2a

The missing points from the Column is:

Game Free-Throw Percentage:        60  20  60  80

Average Free-Throw Percentage:    70  60  55  56.67

Game       Game           Total              Game                              Average

               Result                               Free-Throw                       Free-Throw

                                                       Percentage                       Percentage

1                8/10              8/10                 80                                  80

2                 6/10            14/20               60                                  70          

3                1/5               15/25                20                                  60        

4                3/5              18/30                60                                  55        

5                8/10             26/40               80                                  56.67                                                          

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The question attached here seems to be incomplete, the complete question is

Fill in the columns with Dmitri's free-throw percentage for each game and his overall free-throw average after each game.

Game       Game Result         Total      Game Free-Throw Percentage    Average Free-Throw Percentage

1                        8/10                        8/10                   80                                                           80

2                        6/10                        14/20                    

3                        1/5                        15/25  

4                        3/5                        18/30  

5                        8/10                       26/40  

Its slope is m = 1 on the right side of the vertex, and m = - 1 on the left side of the vertex.

Absolute Value Function:

An absolute value function is a function that contains an algebraic expression within the absolute value sign. Remember that the absolute value of a number is its distance from 0 on the number line. To graph the absolute value function, select some values ​​of x and find some ordered pairs.

In mathematics, the absolute value or modulus of the real number x, represented as.

|x| is the non-negative value of x, regardless of sign.

x is positive and |xI =-x}.  For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3. The absolute value of a number can be thought of as the distance from zero.

Generalizations of the absolute value of real numbers are made in a variety of mathematical contexts. For example, absolute value is also defined for complex numbers, quaternions, ordinal rings, fields, and vector spaces. Absolute value is closely related to the concepts of magnitude, distance, and norm in various mathematical and physical contexts.

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Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

Answer:

Yes

Step-by-step explanation:

4 is greater than 0, and 4 is less than 7

Answer:

yes

Step-by-step explanation:

x is greater than 0 and also less than 7 in this case.

(hi again furydrill! i just answered one of your questions a minute ago!)