URGENT!
Translate the sentence into an equation.
The sum of 2 times a number and 3 is 9.
Use the variable x for the unknown number.

Answer:

The distance between the points is \(\sqrt{72}\)  which agrees with the first answer option listed.

Step-by-step explanation:

Notice that the given points are: (-5, 8), and (1, 2), therefore using the distance formula:

\(distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\distance=\sqrt{(1-(-5))^2+(2-8)^2} \\distance=\sqrt{(6)^2+(-6)^2}\\distance=\sqrt{36+36} \\distance=\sqrt{72}\)

The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

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The solution of the inequality is,

⇒ x > - 2

And, The graph of solution is shown in image.

Given that;

The value of inequality is,

⇒ - 4x - 5 < 3

Now, We can simplify as;

⇒ - 4x - 5 < 3

⇒ - 4x - 5 + 5 < 3 + 5

⇒ - 4x < 8

⇒ - x < 2

⇒ x > - 2

Thus, The solution of the inequality is,

⇒ x > - 2

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Answer:

Step-by-step explanation:

In the tossing of a fair coin, there are equal probabilities of getting a HEAD and getting a TAIL.

Total probability is always 1 and a coin has 2 faces - Head & Tail.

The probability of getting a Head is 1/2 = 0.5

The probability of getting a Tail is 1/2 = 0.5

E1 is the event that TAIL comes up when the coin is tossed the first time

E2 is the event that HEAD comes up when the coin is tossed the second time

The probability value for EVENT 1 is 0.5

The probability value for EVENT 2 is 0.5

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

We know that two vertical angles are equal.

\(108° \: = \: (12x \: + \: 24)°\)

\( - 12x \: = \: 24 \: - \: 108\)

\( - 12x \: = \: -84\)

\( \boxed{ \bold{x \: = \: 7°}}\)

We know that a complete angle measures 360°.

\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)

\(216 \: + \: 2z \: = \: 360\)

\(2z \: = \: 360 \: - \: 216\)

\(2z \: = \: 144\)

\( \boxed{ \bold{z \: = \: 72°}}\)

Answer:

\(2 \frac{8}{13} = 2.61\)

Step-by-step explanation:

\(1. \: \frac{3 \times 5 + 2}{5} \div 1\frac{3}{10} \\ 2. \: \frac{15 + 2}{5} \div 1 \frac{3}{10} \\ 3. \: \frac{17}{5} \div 1 \frac{3}{10} \\ 4. \: \frac{17}{5} \div \frac{1 \times 10 + 3}{10} \\ 5. \: \frac{17}{5} \div \frac{10 + 3}{10} \\ 6. \: \frac{17}{5} \div \frac{13}{10} \\ 7. \: \frac{17}{5} \times \frac{10}{13} \\ 8. \: \frac{17 \times 10}{5 \times 13} \\ 9. \: \frac{170}{5 \times 13} \\ 10. \: \frac{170}{65} \\ 11. \: \frac{34}{13} \\ 12. \: 2 \frac{8}{13} = 2.61\)

If x + 1 is a factor of p(x) = x³ + k x² + x + 6, then by the remainder theorem, we have

p (-1) = (-1)³ + k (-1)² + (-1) + 6 = 0   →   k = -4

So we have

p(x) = x³ - 4x² + x + 6

Dividing p(x) by x + 1 (using whatever method you prefer) gives

p(x) / (x + 1) = x² - 5x + 6

Synthetic division, for instance, might go like this:

-1   |   1    -4     1     6

...   |         -1    5    -6

----------------------------

...   |   1    -5    6     0

Next, we have

x² - 5x + 6 = (x - 3) (x - 2)

so that, in addition to x = -1, the other two zeros of p(x) are x = 3 and x = 2

Answer:

b

Step-by-step explanation:

rate of change in a 25

"" in b is 40

Given:

Function is:

Find-:

Check the value of "x" for the function is valid.

Explanation-:

The function is:

Solve the function for "x."

When the value of "x" is greater and equal to 4, the function is True.

Check for given "x" is:

The above value of "x" is less than four; the function is False.

The value of "x" at -2, 0 and 2 are function is False.

The value of "x" at 4 and 6 are function is True.

Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

A Type I error occurs when the null hypothesis is rejected, even though it is true.

In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.

Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.

This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.

So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."

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Answer:

x = 5cm

Step-by-step explanation:

We Know

The x-scale is 1:5

Find x.

We Take

25 ÷ 5 = 5 cm

So, x = 5cm

9514 1404 393

Answer:

  -49/4

Step-by-step explanation:

The product of a positive number and a negative number will be negative. Its value will be minimized (most negative) when the magnitudes of the two numbers are the same. That is, the numbers that are 7 apart are symmetrically located about 0, so each has a magnitude of 7/2.

The product being sought is (7/2)(-7/2) = -49/4.

Answer: -49/4

Step-by-step explanation:

First set up two equations; a primary and a secondary equation.

Primary: P=xy

Secondary: x=7+y

Substitute the secondary equation into the primary equation: P=(7+y)(y), then simply: 7y+y^.



Next find the derivative of the simplified equation: 7+2y, then find the zeros: y = -7/2

Finally substitute y value into the secondary equation and solve for x:

x = 7 - 7/2

= 14/2 - 7/2

= 7/2



Multiply the two values together: -7/2 * 7/2 = -49/4

Answer:

who knows

Step-by-step explanation:

who knows

We conclude that after 7/4 years the value of the jet ski is $4,784

The value of the jet ski is given by the exponential equation:

f(t) = 8,500*(0.72)^t

Where t is the time in years, to get the value of the jet ski after 7/4 years, we just need to evaluate the above function in t = 7/4, where evaluating means that we need to replace the variable t by the given number, then we will get:

f(7/4) = 8,500*(0.72)^(7/4) = 4,783.55

If now we need to round it to the nearest dollar, then we round upwards to 4,784

In this way, we conclude that after 7/4 years the value of the jet ski is $4,784

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The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

x = 7 , -1

Step-by-step explanation:

SOLUTION :-

\(4(x-3)^2-11 = 53\)

\(=> 4(x-3)^2-11+11=53+11\)

\(=> 4(x-3)^2 = 64\)

\(=> \frac{4(x-3)^2}{4} = \frac{64}{4}\)

\(=> (x-3)^2 = 16\)

\(=> \sqrt{(x-3)^2} = \sqrt{16}\)

\(=> x-3 = +4 \; or -4\)

Here , x will have two values -

1) \(x-3 = 4\)

\(=> x = 4 + 3 = 7\)

2) \(x - 3 = -4\)

\(=> x = -4 + 3 = -1\)

VERIFICATION :-

When x = 7 ,

\(4(x-3)^2 - 11 = 4(7 - 3)^2 - 11\)

                       \(= 4 \times 4^2 - 11\)

                       \(= 4 \times 16 - 11\)

                       \(= 64 - 11\)

                       \(= 53\)

When x = -1 ,

\(4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11\)

                       \(= 4 \times (-4)^2 - 11\)

                       \(= 4 \times 16 - 11\)

                       \(= 64 - 11\)

                       \(= 53\)

Answer:

-18

Step-by-step explanation:

Hope This Helps :)

Answer: 1st friend = 13333 x 6

2nd friend = 13333 x 2

3rd friend = 13333

(this is rounded off the actual amount of 1 unit is 13333.3333333)

Step-by-step explanation:

1st friend = 6 units

2nd friend =2 units

3rd friend =1 unit

6+2+1 = 9

120000 divided 9 = 13333

1st friend = 13333 x 6

2nd friend = 13333 x 2

3rd friend = 13333

The figure that shows a reflection of pre-image ABC over the y-axis is Figure D, which has negative x-coordinates for each point.

A figure's reflection over the y-axis is obtained by flipping the figure across the y-axis. This means that each point's x-coordinates are negated while its y-coordinates remain unchanged.

We can see from the figures in the image that the pre-image ABC has positive x-coordinates, and a reflection over the y-axis results in a new image with negative x-coordinates.

As a result, Figure D, which has negative x-coordinates for each point, depicts a reflection of pre-image ABC over the y-axis.

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Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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The pivot positions of the matrix are 1, 3, 5, and 7.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

In this case, all the given options (A, B, C, and D) contain the same numbers and have the same structure, so we can examine any one of them to determine the pivot positions.

The pivot positions in the given matrix can be found as follows:

The first pivot position is in the first row, first column (1).

The second pivot position is in the second row, second column (3).

The third pivot position is in the third row, third column (5).

The fourth pivot position is in the fourth row, fourth column (7).

So, the pivot positions in the matrix are 1, 3, 5, and 7. These are the bold values in the matrix and indicate the leading entries after row operations have been performed.

Complete Question:

Identify the pivot positions in the original matrix. The pivot positions are indicated by bold values. Choose the correct answer below.

A.1 2 3 4 3 4 5 6 5 6 7 8

B.1 2 3 4 3 4 5 6 5 6 7 8

C.1 2 3 4 3 4 5 6 5 6 7 8

D.1 2 3 4 3 4 5 6 5 6 7 8

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The answer is 8/7

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

The multiplication of 4/5 and 10/7 is 8/7 in its simplest form.

To multiply 4/5 by 10/7,

We simply multiply the numerators (4 and 10) to get 40 as the new numerator and multiply the denominators (5 and 7) to get 35 as the new denominator.

Therefore, 4/5 x 10/7 = 40/35.

To simplify this fraction,

We can first find the greatest common factor (GCF) of the numerator and denominator,

Which is 5. We can divide both the numerator and denominator by 5 to get:

40/35 = (5 x 8) / (5 x 7)

          = 8/7

So the answer in simplest form is 8/7.

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(Option D.) Shows the distribution of sample means from all possible samples given size.

A sampling distribution is a probability distribution of a statistic computed from a random sample of a population.

It shows the distribution of the sample means from all possible samples given size. This is helpful when trying to understand the behavior of a statistic and to make inferences about the population from which the sample was drawn. The sampling distribution will approximate the shape of the population distribution as the sample size increases. It also provides a way to estimate the variability of the statistic, which can be used in hypothesis testing.

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Answer:

- 59/40

Step-by-step explanation:

Answer:

-1 39/40

Step-by-step explanation:

1.Calculate the value  

9/10 - 2 3/8 = −1.975

convert to a fraction

-1.975 = -1 39/40

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

A piece of material measures 38 inches.

Courtney cuts the piece of material into two pieces.

One piece measures 19 inches.

Let x be the length of other pieces.

An addition equation that could be used to find the length of the other piece of material is,

38 = 19 + x

Therefore, 19 + x = 38 is an addition equation.

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