Describe the transformation that moved the Red-figure to the Blue figure.
A) Rotate 90 degrees clockwise about the origin
B) Rotate 90 degrees counterclockwise about the origin
C) Reflect over the x-axis
D) Translate 2 units up

Answer:

39

Step-by-step explanation:

I don't exactly know how to explain it.

I followed the formula

a^2+b^2= c^2

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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Answer:the 10 is the base

Step-by-step explanation:

The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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The half-life of the unknown radioactive element is approximately 463.4 days.

The half-life of an element is the amount of time it takes for half of the sample to decay into non-radioactive substances. In this case, the sample has decreased by 58 percent in 300 days.

To find the half-life of the element, we can use the formula:
A = A0 * (1/2)^(t/h)

Where A is the final amount of the sample, A0 is the initial amount of the sample, t is the amount of time that has passed, and h is the half-life of the element.

Rearranging the formula to solve for h, we get:

h = (t * log(1/2)) / log(A/A0)

Plugging in the given values, we get:

h = (300 * log(1/2)) / log(0.42)

Solving for h, we get:

h ≈ 463.4 days

Therefore, the half-life of the unknown radioactive element is approximately 463.4 days.

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Answer:

I can't understand.. can you add pictures also

The required cubic polynomial is

f(x) = \(-2x^3-2x^2-28x+48\)

What is a polynomial?

An algebraic expression of the form \(a_0 + a_1x+ .... + a_nx^n\) (\(a_0 \neq 0\)) is called a polynomial of degree n.

The zeroes of the cubic polynomial are -4, 2, 3

Let the cubic polynomial is

f(x) = a(x - (-4))(x - 2)(x - 3)

f(x) = a(x + 4)(x - 2)(x - 3)

If x = -5, f(x) = 112

112 = a(-5 + 4) (-5 - 2)(-5 - 3)

112 = -56a

a = \(-\frac{112}{56}\)

a = -2

f(x) = -2(x+ 4)(x - 2)(x - 3)

\(f(x) = -2(x+ 4)(x^2 -3x -2x +6)\\f(x) = -2(x + 4)(x^2 - 5x + 6)\\f(x) = -2(x^3 - 5x^2+4x^2+6x - 20x+24)\\f(x) = -2(x^3 - x^2 - 14x +24)\\f(x) = -2x^3 -2x^2 - 28x + 48\)

(x +4)(x - 2)(x - 3)

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Hey there mate ;)

Explanation:-

As per question, we can solve by splitting 40 into :-

\(10 \: \: \: \: 20 \: \: \: \: 10\)

Proof:

● As its told that the second number must be twice the first number , which means 20 should be the double of 10 (Proved)

● Next it is told that the third number must be the same as first number, which means that 10 must be equal to 10, which is true.

So, the answer is (10 20 10)

The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Answer: 1/6

Step-by-step explanation: if he has 3 shirts you multiply that by 2 which would make 6 and that would become the denominator and the white shirt matching out with the tan pants would be a probability of 1 as there are 6 different possibilities. The probability of 1 will also be the numerator

Answer:

71/50

Step-by-step explanation:

142                                                                                                                             100

Both numbers are even. Divide by two.

71                                                                                                                           50

Can't be simplified any further

Make it a mixed number.

1  21/50

The number 142 % in mixed number form is 1 21/50

What are Mixed Numbers?

A mixed number is a whole number, and a proper fraction represented together. A mixed number is formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper fraction that makes the mixed number.

Given data ,

The number given is = 142 %

On simplifying , we get

142 % = 100 % + 42%

We know that 100 % = 1

So ,

42 % = 42 / 100

Divide by 2 on both numerator and denominator , we get

21 / 50

So , the number 142 % is written as 1 21/50

Or ,

Simplifying 142 / 100 , we get

142 / 100 = 71 / 50

Converting 71 / 50 into mixed number , we get 21 as the remainder ,

Therefore , the mixed number form of 71 / 50 is 1 21/50

Hence , the mixed number form is 1 21/50

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\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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secθ is undefined for θ equal to pie/2 (π/2).

option A.

The true statements about secθ is calculated as follows;

Applying trig identity, the value of secθ is calculated as follows;

sec θ = 1/cos θ

For π/2, the value of sec θ is calculated as;

1/cos (π/2) = undefined

For π, the value of sec θ is calculated as;

1/cos (π) = 0

For 3π/2, the value of sec θ is calculated as;

1/cos (3π/2) = 0

For 0, the value of sec θ is calculated as;

1/cos (0) = 1

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Answer:

Let x= the ones digit

Then x+5=the tens digit

Hence the equation is: 10(x+5)+x=x+5+x+63

10(x+5)+x=x+5+x+63

10x+50+x=2x+68

11x+50=2x+68

-2x-50  -2x-50

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

       9x=18  Divide both sides of the equation by 9

         x=2

Hence the number is 10(2+5)+2=10(7)+2=70+2=72.

Based on the provided information, we can test the claim that a higher proportion of women prefer white wine compared to men. Using a 0.05 level of significance, the statistical test suggests that there is evidence to support the claim.

To test the claim, we can use a two-sample proportion hypothesis test. The null hypothesis (H0) assumes that there is no difference in the proportions of men and women who prefer white wine, while the alternative hypothesis (Ha) suggests that there is a higher proportion of women who prefer white wine.

Calculating the test statistic and comparing it to the critical value at a significance level of 0.05, we can determine whether to reject or fail to reject the null hypothesis. In this case, with 210 out of 500 women and 120 out of 500 men preferring white wine, the test statistic is computed using the formula:

(test statistic) = (p1 - p2 - 0) / sqrt((p1(1 - p1) / n1) + (p2(1 - p2) / n2))

where p1 and p2 are the proportions of women and men preferring white wine, and n1 and n2 are the respective sample sizes.

Upon calculation, if the test statistic falls beyond the critical value, we can reject the null hypothesis and conclude that there is evidence to support the claim that a higher proportion of women prefer white wine compared to men.

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Answer:

Perimeter: 26 units

Area: 24 units²

Step-by-step explanation:

12 + 9 + 5 = 26

A = 1/2BH

A = 1/2 12(4)

A = 1/2 48

A = 24

The standard deviation of the data represented is 4.

The standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

From the question, We were given the terms,

4 8 12 24

The number of terms=5

We will obtain the mean value and then calculate the square of the difference between each term and the mean.

The mean=Sum of terms/Number of terms

Mean=(4+8+10+12+16)/5

=50/5

=10

Now, the difference between terms and the mean is as follows:

4-10= -6

8-10= -2

10-10=0

12-10=2

16-10=6

Squaring the obtained values and adding them,

=36+4+4+36

=80

The standard deviation of the terms=

Square root of the sum of squares of values divided by the number of terms

\(\sqrt{80/5}\)

\(\sqrt{16}\)

4

Hence the standard deviation is 4.

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Given that a table is 6 feet long and 3 feet wide. You extend the length of the table by inserting two identical table leaves. The extended table is rectangular with an area of (18+6x) square feet.

The area of a rectangle is the product of the width and the length

The required values are given as;

6 + 2x

Here x represents the width of the leaves

Total length = (6 + 2x) feet

Width = 3 feet

Area, A = (6 + 2x) ft. × 3 ft. = (18 + 6x) ft.²

The expression that represents the length of the table is 6 + 2x

The variable x represents the width of the leaves

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The two consecutive odd integers are less than 76 is the numbers are 37 and 39.

Any integer's reverse and sum are both equal to zero.

A positive sum results from adding two positive numbers, whereas a negative sum results from adding two negative integers.

Take the absolute value of each integer, then subtraction, to obtain the total of a positive and a negative integer.

Let two consecutive odd numbers be x and x+2

According to question

⇒ x........... equation (1)

⇒ x+2........equation (2)

by adding equation 1 and 2

⇒ x+x+2=76

⇒ 2x+2=76

⇒ 2x=76-2

⇒ 2x=74    

⇒  x=74/2

⇒ x=37

We apply the value of x=37 in equation (2)

⇒ x+2

⇒ 37+2

⇒ 39

so, the numbers are 37 and 39.

Therefore, the two consecutive odd integers are less than 76 is the numbers are 37 and 39

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The average number of completed good units is 920

A Markov chain is a type of sequential machine that can be used to model the process of inspection and reworking in this question. The Markov chain will have four states: Machine I, Machine II, Inspection, and Junked.

(a) To determine the average number of visits to each state for a part starting at Machine I, we can create a transition matrix with the probabilities of moving from one state to another. The transition matrix will look like this:

| 0.92  0.05  0.03  0    |
| 0.07  0.85  0.03  0.05 |
| 0    1     0     0    |
| 0    0     0     1    |

The first row represents the probabilities of moving from Machine I to each of the other states. The second row represents the probabilities of moving from Machine II to each of the other states. The third row represents the probabilities of moving from Inspection to each of the other states. The fourth row represents the probabilities of moving from Junked to each of the other states.

To find the average number of visits to each state, we can multiply the transition matrix by a vector representing the initial state. In this case, the initial state is Machine I, so the vector will be [1 0 0 0]. Multiplying the transition matrix by this vector will give us the average number of visits to each state:

| 0.92  0.05  0.03  0    |   | 1 |   | 0.92 |
| 0.07  0.85  0.03  0.05 | * | 0 | = | 0.07 |
| 0    1     0     0    |   | 0 |   | 0.03 |
| 0    0     0     1    |   | 0 |   | 0    |

So the average number of visits to Machine I is 0.92, the average number of visits to Machine II is 0.07, the average number of visits to Inspection is 0.03, and the average number of visits to Junked is 0.

(b) If a batch of 1000 units is started on Machine I, we can use the same transition matrix to find the average number of completed good units. We will multiply the transition matrix by a vector representing the initial state of 1000 units on Machine I:

| 0.92  0.05  0.03  0    |   | 1000 |   | 920 |
| 0.07  0.85  0.03  0.05 | * | 0    | = | 70  |
| 0    1     0     0    |   | 0    |   | 30  |
| 0    0     0     1    |   | 0    |   | 0   |

The average number of completed good units is 920.

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The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer:

a) It is not the case that the dress is yellow

a) The dress is multicolored

b) Mary has been exercising

step-by-step explanation:

The saying negates that the dress is yellow and saying the dress is multicolored implies that the dress is not just one color or just yellow.

For part b, the condition is, is Mary wearing tennis shoes. The conclusion then is that Mary has been exercising because she is wearing tennis shoes.

The interest paid on a loan can be calculated using the formula:
Interest = Total Payment - Principal

To find the total payment, we need to determine the number of payments and the payment amount.

In this case, the loan was repaid in five years with end-of-quarter payments of $1200.

Since there are four quarters in a year, the number of payments is 5 * 4 = 20.

The interest rate is given as 9.5% compounded semi-annually. To calculate the payment amount, we need to convert the annual interest rate to a semi-annual interest rate.

The semi-annual interest rate can be calculated by dividing the annual interest rate by 2. In this case, the semi-annual interest rate is 9.5% / 2 = 4.75%.

Next, we can use the formula for calculating the payment amount on a loan:

Payment Amount = Principal * \(\frac{(r(1+r)^n)}{((1+r)^{n - 1})}\)

Where:
- Principal is the initial loan amount
- r is the semi-annual interest rate expressed as a decimal
- n is the number of payments

Since we are looking to find the interest paid, we can rearrange the formula to solve for Principal:

Principal = Payment Amount * \(\frac{((1+r)^n - 1)} {(r(1+r)^n)}\)

Substituting the given values, we have:

Principal = $1200 * \(\frac{ ((1 + 0.0475)^{20} - 1)} {(0.0475 * (1 + 0.0475)^{20})}\)

Calculating this expression gives us the Principal amount.

Finally, we can calculate the interest paid by subtracting the Principal from the total payment:

Interest = Total Payment - Principal
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Answer:

11. A) x = 2 .    B) x=-1 .   C) x = 0

12. A) y = 20 . C) y = -3 . D) y = 0

Step-by-step explanation:

When the line is vertical, take the x coordinate

When the line is horizontal, take the y coordinate

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

The answer to the question given is 785.639 .

Step-by-step explanation:

According to the rules of mathematics i.e. BODMAS

We'll first multiply,

7x100 = 700

8x10 = 80

5x1 = 5

6x\(\frac{1}{10}\) = \(\frac{3}{5}\) = 0.6

3x\(\frac{1}{100}\) = 0.03

9x \(\frac{1}{1000}\) = 0.009

So, after adding.

We get,

700 + 80 + 5 + 0.6 + 0.03 + 0.009 = 785.639

Answer:

(-2,-1)

Step-by-step explanation:

On the graph, the vertex is where the bottom of the U is. In general, it's always that same place on the U, but the U could be turned upside down or left or right. Looking at the bottom of the U, count on the x axis first (left 2, which is negative). That's your first number. Then count on the y axis (down 1, again, negative). That's your second number. Hope this helps!

Answer:

275 - 11=264

Step-by-step explanation: