How do I solve for x? (Please Show Work)

Answer:

\(a=\sqrt[3]{\frac{27}{64}} = 0.75\)

edge length = 0.75

Equation: \(a=\sqrt[3]{V}\)

The solution of the quadratic equation is x = 2. Therefore, \(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)  or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

The quadratic formula can be use to solve the quadratic equation as follows:

x² - 4x + 4 = 0

Modelling it to quadratic equation, ax² + bx + c

Hence,

using quadratic formula,

\(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\) or \(\frac{-b-\sqrt{b^{2}-4ac } }{2a}\)

where

Hence,

a = 1

b = -4

c = 4

Therefore,

\(\frac{4+\sqrt{-4^{2}-4(1)(4) } }{2(1)}\) or \(\frac{4-\sqrt{-4^{2}-4(1)(4) } }{2(1)}\)

Finally

x = 2

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When we are not sure if the distribution of a population was normal, we use t-procedures. These procedures are safe in most conditions.

However, there is a situation where we would not be safe using a t-procedure that is if the stemplot of the data has a large outlier. Therefore, option A is correct.Let's look at the other options:B. The sample standard deviation is large: A large standard deviation would lead to large variation in the data and the sample mean might not be an accurate representation of the population mean. In this case, we can use the t-procedure to calculate the confidence interval for the population mean, but the interval may not be very precise. Therefore, this option does not make the t-procedure unsafe.C.

A histogram of the data shows moderate skewness: We use t-procedures when the population is not normally distributed. A histogram of the data showing moderate skewness indicates that the distribution may not be normal, but it does not make the t-procedure unsafe. Therefore, this option is incorrect.D. The mean and median of the data are nearly equal: The mean and median of a dataset being nearly equal is a characteristic of a normal distribution. So, it is not a reason to avoid using the t-procedure. Therefore, this option is incorrect.In summary, we would not be safe using a t-procedure if the stemplot of the data has a large outlier.

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Answer:

The value of x is 3.

Step-by-step explanation:

5x-7=y

5x-7=8

5x=8+7

5x=15

x=15/5

x=3

Hey there!

5x - 7 = y

5x - 7 = 8

ADD 7 to BOTH SIDES

5x - 7 + 7 = 8 + 7

CANCEL out: -7 + 7 because it give you 0

KEEP: 8 + 7 because it help solve for the x-value

NEW EQUATION: 5x = 8 + 7

SIMPLIFY IT!

5x = 15

DIVIDE 5 to BOTH SIDES

5x/5 = 15/5

CANCEL out: 5/5 because it give you 1

KEEPs 15/5 because it give you the x-value

NEW EQUATION: x = 15/5

SIMPLIFY IT!

x = 3

Therefore, your answer is: x = 3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

B

Step-by-step explanation:

Take the second equation for example, just solve like there is an equal sign.

13x+25< -1

13x<-26

X '='-2

X<-2

Answer:

B

Step-by-step explanation:

ssacar Los factores semejantes y dividir por 113

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

11/36 = 0,305556 = 30,5556%

Step-by-step explanation:

5/6 * 5/6 = 25/36

36/36 - 25/36 = 11/36

The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997

We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.

Thereafter, it is a pyramid.

Now, formula for volume of a cuboid is;

V = lwh

V = 20 * 20 * 10

V = 4000 m³

Formula for volume of a pyramid is;

V = lwh/3

V = (20 * 20 * h)/3

V = 400h/3

Total volume is 4800 of the entire tent house. Thus;

4000 + (400h/3) = 4800

400h/3 = 800

h = (800 * 3)/400

h = 6 m

Now, from online calculation, the surface area of the pyramid excluding the base is;

TSA_p = 466.48 m²

Total surface area of cuboid excluding the top is;

S.A = 1200 m²

Total surface area of canvas = 1200 + 466.48 = 1666.48 m²

Since cost per sq.m is Rs. 15 per m², then;

Total cost = 15 * 1666.48

Total Cost = Rs. 24,997

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Answer:

8 students

Step-by-step explanation:

17 ÷ 2  1/8 = 8

Answer:

-3x-3y=-24

divide the equation by 3

-x-y=-8

multiply -1

x+y=8

second equation

x+y=8

same equation

so answer is

x+y=8

Step-by-step explanation:

The proportional relationship graph that shows the situation is: Graph C.

A proportional relationship is defined as y = kx, where k is the constant of proportionality between x and y, and k = y/x.

Given the equation, M = 3n,

k = 3.

Thus, the graph that has a constant of proportionality (k) of 3, will correspond to the situation.

In graph C, using a point, (400, 1,200), we have:

k = 1,200/400

k = 3

Therefore, the graph that corresponds to the situation is: C.

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Answer:

1) x = 7

2) x = 4

3) x = 1/9

Step-by-step explanation:

1) 3x +6 = 27

        -6     -6           Subtract 6 to both sides

   3x = 21                Then divide both sides by 3

     x = 7

2) 6x +3 = 27

         -3      -3         Subtract 3 to both sides

   6x = 24               Then divide both sides by 6

     x = 4

3) 27x +3 = 6

           -3   -3          Subtract 3 to both sides

   27x = 3                Then divide both sides by 27

       x = 3/27            Reduce

       x = 1/9

Answer:

$36.12

Step-by-step explanation:

56*40%=22.40 amount off

56-22.40=33.60 price of sweater

33.60*7.5%=2.52 tax amount

33.60+2.52=36.12 total amount

Answer:

this the answer 4.5m

Step-by-step explanation:

formula 1/2(a+b)h

9514 1404 393

Answer:

  18 square meters

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

The bases are the parallel line segments, and the height is the perpendicular distance between them.

  A = (1/2)(7 m + 5 m)(3 m) = 1/2(12 m)(3 m) = 18 m^2

The area of the trapezoid is 18 square meters.

The predicted sales based on the equation were $7,820, but the actual sales deviated from this prediction by $300.

To determine the actual sales for a particular day, we can use the given best fit line equation and the high temperature for the day. The equation, y = 4.1 + 0.12x, represents the relationship between average daily sales (y) in thousands of dollars and the high temperature (x) in Celsius.

Given a high temperature of 31°C and a residual of $300, we can substitute the temperature into the equation and solve for the actual sales.

Explanation:

Substituting x = 31 into the equation y = 4.1 + 0.12x, we have:

y = 4.1 + 0.12 * 31

= 4.1 + 3.72

= 7.82

Therefore, the actual sales for that day, represented by y, is $7.82 thousand or $7,820.

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Answer:

80 and 120 for 3 pointers

Step-by-step explanation:

Answer:

60 ft

Step-by-step explanation:

a² + b² = c²

20² + 15² = c²

c = √625

c = 25

total distance = 20 ft + 15 ft + 25 ft = 60 ft

The missing term in the equation is n = -2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the missing term be represented as n

-2x + 18 = nx + 18

Subtracting 18 on both sides of the equation , we get

-2x = nx

Divide by x on both sides of the equation , we get

n = -2

Therefore , the missing term is n = -2

Hence , the equation is n = -2

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Answer:

Step-by-step explanation:

Solve the inequalities and match with the graphs

Answer:

7x < 42

x + 1 < 8

3x > 15

2x > 12

Step-by-step explanation:

> means "more than" (shading to the right)

< means "less than" (shading to the left)

Solve the given inequalities

    7x < 42  

⇒ 7x ÷ 7 < 42 ÷ 7

⇒  x < 6

An open circle on 6, shading to the left

   3x > 15  

⇒ 3x ÷ 3 > 15 ÷ 3

⇒ x > 5

An open circle on 5, shading to the right

   x + 1 < 8  

⇒ x + 1 - 1 < 8 - 1

⇒ x < 7

An open circle on 7, shading to the left

   2x > 12  

⇒ 2x ÷ 2 > 12 ÷ 2

⇒ x > 6

An open circle on 6, shading to the right

The probability that a randomly chosen card from a standard deck of playing cards will be a red card or an ace is 7/13

The term probability in statistics is defined as possibility of getting the particular event.

Here we have given that a standard deck of playing cards, there are 52 total cards

Here we know that  half of the cards are red and half of the cards are black.

Which means that there are 26 red cards and 26 black cards.

In the given deck there are 4 ace which means 1 ace in each 13 cards.

Therefore, the possibility of getting red card or ace card is

=> 26 + 2

Here we take two because the red card contains 2 ace in it.

=> 28.

Therefore, the probability is '28 out of 52', so we make this fraction as

=> 28/52

When we reduce it then we get the probability as

=> 7/13

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Answer:

0.5*13*15 = 97.5 square units

Step-by-step explanation:

If the diagonals of the rhombus are 13 and 15 then its area is 0.5*13*15 = 97.5 square units

The area of the rhombus is,

A. 97.5 square units

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Rhombus ABCD with the following dimensions:

diagonal 1 (d1) = BD = 15

diagonal 2 (d2) = AC = 13

AB = 9.9

Hence, Area of the rhombus;

Since we know the length of the 2 diagonals, area of the rhombus can be calculated using;

A = 1/2 × d1 × d2

A = 1/2 × 15 × 13

A = 1/2 × 195

A = 97.5 square units

Thus, The area of the rhombus is,

A. 97.5 square units

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Answer:

-3.5, -3, -1, 3, 4.5

Answer:

Step-by-step explanation:

The graph of this curve is concave (opening up) and the vertex has a negative ordinate. So all values between the intersections of the parabola with x axis will be negative as well.

Therefore, the right statement is the option B

The function is negative for all real values of x where: -6<X<-2

Answer:

x = 7, − 5

Step-by-step explanation:

the truth value of the proposition [A ⊃ ~(B · Y)] ≡ ~[B ⊃ (X · ~A)] when A and B are true and X and Y are false is also true.

we can break down the proposition into two parts:

1. A ⊃ ~(B · Y)
2. ~[B ⊃ (X · ~A)]

Since A and B are both true, we can simplify the first part to A ⊃ ~Y. Since Y is false, we know that ~Y is true. Therefore, the first part of the proposition is true.

For the second part, we can simplify it to ~(~B ∨ (X · ~A)). Since A and B are true, we can simplify this further to ~(~B ∨ X). Since X is false and B is true, we know that ~B ∨ X is true. Therefore, ~(~B ∨ X) is false.

Taking the equivalence of the two parts, we get true ≡ false, which is false. However, we are given that A and B are true and X and Y are false, so the main answer is that the truth value of the proposition is true.

the proposition [A ⊃ ~(B · Y)] ≡ ~[B ⊃ (X · ~A)] is true when A and B are true and X and Y are false.

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Answer:

-10

Step-by-step explanation:

f(-4)=-(-4)-5

f(-4)=-1

g(-6)=2(-6)+3

-12+3

g(-6)=-9

add together:

-1+-9

=-10

Homoskedasticity and heteroskedasticity are terms used to describe the variability of errors in a multiple linear regression model.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Homoskedasticity refers to a situation where the variance of the errors (residuals) is constant across all levels of the independent variables. This means that the spread of the residuals is the same throughout the range of predicted values. In other words, the variability of the errors is consistent and does not change systematically.

Heteroskedasticity, on the other hand, occurs when the variance of the errors is not constant across all levels of the independent variables. In this case, the spread of the residuals tends to vary as the predicted values change. Heteroskedasticity implies that the variability of the errors is not consistent and may exhibit patterns or trends.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Residual plot: Plotting the residuals against the predicted values or the independent variables can reveal patterns or trends in the spread of the residuals. If the spread of the residuals appears to fan out or there is a clear pattern, it suggests the presence of heteroskedasticity.

Breusch-Pagan test: This is a statistical test that formally tests for heteroskedasticity in the residuals. The test assesses the relationship between the squared residuals and the independent variables. If the test result is statistically significant, it indicates the presence of heteroskedasticity.

White's test: Similar to the Breusch-Pagan test, White's test also examines the relationship between the squared residuals and the independent variables. It is another statistical test commonly used to detect heteroskedasticity in regression models.

Goldfeld-Quandt test: This test divides the data into two groups based on a selected independent variable and compares the variances of the residuals between the two groups. If the variances significantly differ, it suggests the presence of heteroskedasticity.

By conducting these tests and examining the graphical plots, one can assess whether heteroskedasticity is present in the multiple linear regression model. If heteroskedasticity is detected, it may be necessary to address the issue by using heteroskedasticity-robust standard errors, transforming variables, or considering alternative regression techniques designed to handle heteroskedastic data.

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The performance is likely to increase, as the feature size will be reduced, leading to increased efficiency of the processor.

Effect of Decreasing Feature Size on Processor Performance

The performance of a processor is largely determined by its feature size. As the feature size decreases, the processor can process more information in a given time due to the increased efficiency of its components. In this case, the designer has chosen to use a manufacturing process that decreases the feature size of the processor. This means that the processor will be able to process more information in a given time, leading to an increase in performance. All else being constant, the performance of the processor is likely to increase.

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