A rectangle that is 2 cm by 3 cm has been scaled by a factor of 5. What are the dimensions of the new rectangle? A.7 cm by 8 cm B.10 cm by 15 cm C.25 cm by 35 cm D.12 cm by 15 cm

Answer:

\((\frac{6}{11} )*(\frac{6}{11} )\) = 36/121 =.297

Step-by-step explanation:

Answer:

36/121

Step-by-step explanation:

We have 5+6 = 11 marbles

P(red) = number of red/ total = 6/11

We replace the marble so we still have 11 marbles

P(red) = number of red/ total = 6/11

P(red, red) = 6/11*6/11 = 36/121

If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be (1,-2), (1,-7), (-3, -6), and (-3, -1).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Parallelogram JKLM has vertices J(2, 1), K(7, 1), L(6, −3), and M(1, −3).

If the parallelogram is rotated 270° about the origin. Then the coordinate of the image will be

J(2, 1) → (1, -2)

K(7, 1) → (1, -7)

L(6, −3) → (-3, -6)

M(1, −3) → (-3, -1).

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The given equation's solution is x = 5i or x = i.

An equation has been provided.

x⁴+6x²+5 = 0

We to settle it utilizing replacement.

If u = x2, then u2 = x4 In the above equation, we find that u2+6u+5 = 0. Now, use the factorization method.

Divide the middle term of the previous equation as follows: u2+5u+u+5 = 0; u(u+5)+1(u+5) = 0; u(u+5)(u+1) = 0 Using the zero-product property, we can determine that u+5 or u+1 equals 0; u = -5 or u = -1; x2 equals -5 or x2 equals -1; taking the square root of both sides of.

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For  the quadratic function f(x) = x^2 - 5x + 6, the values of the coefficients and constant are:

a = 1
b = -5
c = 6.

To identify the coefficients and constant in the quadratic function f(x) = x^2 - 5x + 6, let's examine the standard form of a quadratic equation:

f(x) = ax^2 + bx + c

Comparing this with the given quadratic function, we can determine the values of the coefficients and constant:

a = 1 (coefficient of x^2 term)
b = -5 (coefficient of x term)
c = 6 (constant term)

Therefore, for the quadratic function f(x) = x^2 - 5x + 6, the values of the coefficients and constant are:

a = 1
b = -5
c = 6.

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Answer:

600000

Step-by-step explanation:

Cuz it is in the 100000 spot

Answer:

600000

Step-by-step explanation:

Based on the place value system, the digits are ordered from the right to left. So the 6th digit is 6 located in the hundreds of thousands column. The value of the 6th digit is obtained by multiplying the digit by the value of it's place value column

i.e 6 * 100,000 = 600, 000

Ans: 600,000

Answer:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit.

Step-by-step explanation:

For this case we have the following dataset given:

9,16,9,15,20,13,7,26,9,44

The first step is order the data on increasing way and we got:

7,9,9,9, 13,15, 16,20,26,44

And we can create the stem plot like this:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit

Answer:

D. 24

Step-by-step explanation:

Let's name the diagram

Row 1: a1, a2, a3

Row 2: b1, b2, b3

Row 3: c1, c2, c3

From the diagram,

b2 and c2 have been given

All rows, columns and diagonal must sum up to 18

If b2=6 and c2=4

a2=18-(6+4)

=18-10

=8

a2=8

Assume a1=4

Diagonals a1+b3+c3=18

4+6+c3=18

10+c3=18

c3=18-10

=8

Assume a3=6

Diagonals a3+b2+c1=18

6+6+c1=18

12+c1=18

c1=18-12

=6

So b1=18-(6+4)

=18-10

=8

b1=8

b3=18-(6+8)

=18-14

=4

b3=4

Input all the numbers into the boxes

We have,

4 8 6

8 6 4

6 4 8

Corner numbers are a1,a3,c1,c3

=4,6,6,8

Sum of all the corner numbers=4+6+6+8

=24

D. 24

Using the digits 7,8 and 9, the positive seven-digit integers can be made that are palindromes are 729.

When constructing a seven-digit palindrome out of the digits 7, 8, and 9, the first three digits must be the same as the last three digits in reverse order.

This means that each of the first three digits can be either a 7, 8, or 9. Therefore, the total number of combinations for the first three digits is 3 x 3 x 3 = 27.

Since the last three digits must match the first three, the total number of possible combinations of integers is 27 x 27 = 729.

Thus, the total number of positive seven-digit palindromes that can be created using the digits 7, 8 and 9 is 729.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Let's solve your equation step-by-step.

\(2x-3x+5=18\)

Step 1: Simplify both sides of the equation.

\(2x-3x+5=18\\2x + -3x + 5 = 18\)

\(( 2x + -3x ) + ( 5) = 18\) (Combine Like Terms)

\(-x + 5 = 18\\-x + 5 = 18\)

Step 2: Subtract 5 from both sides.

\(-x + 5 - 5 = 18 - 5 \\-x = 13\)

Step 3: Divide both sides by -1.

\(\frac{-x}{-1} = \frac{13}{-1} \\x = -13\)

Answer : \(\boxed {x = -13}\)

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Have a great day/night!

❀*May*❀

Answer:

Step-by-step explanation:

\( \mathsf{2x - 3x + 5 = 18}\)

Collect like terms

\( \mathsf{ - x + 5 = 18}\)

Move constant to R.H.S and change it's sign

\( \mathsf{ - x = 18 - 5} \)

Calculate the difference

\( - x = 13\)

Change the signs on both sides of the equation

\( \mathsf{x = - 13}\)

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

\( \blue{ \mathsf{verification}}\)

\( \mathsf{LHS \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: RHS}\)

\( \mathsf{2x - 3x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 18}\)

\( \mathsf{ = 2 \times ( - 13) - 3 \times ( - 13) + 5}\)

\( \mathsf{ - 26 + 39 + 5}\)

\( \mathsf{ = 13 + 5}\)

\( = 18\)

Thus, LHS = RHS

hope I helped!

Best regards!

The probability distribution for the difference between actual and predicted weekly sales of the company is a uniform distribution between $2800 and $2800. Actualsale of under predicted  is 4/7 and with in predicted sale is 13/14

(a) To find the probability that the actual sale is under predicted by at least $1200, we need to determine the area under the PDF to the left of $1200. Since the PDF is constant within the range, the probability is equal to the ratio of the difference between $1200 and $2800 to the total range of $2800. Therefore, the probability is (2800 - 1200) / 2800 = 1600 / 2800 = 4/7, or approximately 0.5714.
(b) To find the probability that the actual sale is within $1300 of the predicted sale, we need to determine the area under the PDF between $-1300 and $1300. Again, since the PDF is constant within the range, the probability is equal to the ratio of the difference between $1300 and $-1300 to the total range of $2800. Therefore, the probability is (1300 - (-1300)) / 2800 = 2600 / 2800 = 13/14, or approximately 0.9286.
In summary, the probability that the actual sale is under predicted by at least $1200 is 4/7, and the probability that the actual sale is within $1300 of the predicted sale is 13/14.

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Answer:

The answer is "10 and 40".

Step-by-step explanation:

\(\to f + 5 = 3(s + 5) = 3s + 15\\\\\to f - 5 = 7(s - 5) = 7s - 35\\\\\)

Subtracting the equations to get

\(\to 10 = -4s + 50\\\\\to -40 = -4s\\\\\to s = \frac{40}{4} \\\\\to s=10\\\\\to f = 40\\\\\)

So the Son age is 10, and the father's age is 40.

Answer:

First one: true        Second one: true

Step-by-step explanation:

First Question: the lines will be parellel even though the shape grows or gets smaller

Second Question: the angle will stay the same even if it grows into a larger or smaller shape.

Answer:

-131

Step-by-step explanation:

2×2×3×4-15×2×2×3+-1

48-179

=-131

19a + 44 - 19a

Group like terms.

\(19a - 19a + 44\)

Add similar elements.

\(19a - 19a = 0\)

\(=44\)

Answer:

44

Step-by-step explanation:

Hahaha, fair enough.

This one may look more difficult than it is. In algebra, there are variables and there are constants.

A constant is a number that is constantly the same, in the example you posted, 44 is the constant.

A variable is like a place holder, it indicates that there is a number that will be substituted in, we just don't know what that number is yet. In your example, the variable is represented by the letter "a."

If youre still a little unsure what a variable is, think of it like this:

Every morning, you like to have one, single cup of coffee, but some days you feel like putting 1 spoon of sugar in, some mornings you want no sugar, and some mornings you really want something sweet and so you have 3 spoons of sugar.

In algebra, your morning cup of coffee is represented 1 + s. 1 is the number of cups of coffee you have and "s" represents how much sugar you put in it. "s" can equal 1, 3, or even 0 spoons of sugar. "s" will represent the number of spoons of sugar consistantly, BUT, keep in mind that while the value of a variable is the same within that one term or equation it can represent a different value in another term or equation.

1 + s on Monday could equal 4 because you really want some sugar at the beginning of your week so you put 3 sugars in. 1 + 3 = 4. But on Thursday, you don't want any sugar, so 1 + 0 = 1. Monday and Thursday are different terms/equations.

SO, because a variable always has the same value within a term/equation, in your example 19a + 44 - 19a, "a" will always have the same value. if a = 1 then your example is 19(1) + 44 - 19(1). If the value of "a" is 1,000,000, then your example looks like 19(1,000,000) + 44 - 19(1,000,000).

We can rewrite your question a little to make it clearer. 19a - 19a + 44, we just swapped the positions of 44 and -19a. So you can see, that no matter what value "a" represents, they will cancel each other out. leaving you with 44 as your answer.

Answer:

a > -5

Step-by-step explanation:

Step 1: Flip the inequality.

Step 2: Add 16 to both sides.

Therefore, a > -5.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

a > -5

Step-by-step explanation:

-21-(a-16)<0

Pull out like factors :

-5 - a = -1 • (a + 5)

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

a+5 > 0

Subtract 5 from both sides

a > -5

a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

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Answer:

Send me a clarity question.

Answer\((-1)^{x}\)×\(x^{2}\)

Step-by-step explanation:

The fully factored expression is:

8(x² - x - 2)(-x² - 4x - 3)

First, we can simplify (4x²+ 16x)(2) by factoring out 4x:

(4x²+ 16x)(2) = 8x(2x + 1)

Next, we can factor (-8x - 16) by factoring out -8:

(-8x - 16) = -8(x + 2)

Now our expression can be written as:

-8(x + 2)(x² - x - 2)² + 8x(2x + 1)(x² - x - 2)(2x - 1)

We can factor out 8 from both terms to get:

8[-(x + 2)(x² - x - 2)² + x(2x + 1)(x² - x - 2)(2x - 1)]

Now we can see that both terms have a common factor of (x² - x - 2). We can factor this out to get:

8(x² - x - 2)[-(x + 2)² + x(2x + 1)(2x - 1)]

Now we can simplify the expression inside the square brackets:

-(x + 2)² + x(2x + 1)(2x - 1)

= -(x + 2)² + 4x² - 1

= -x² - 4x - 3

So our fully factored expression is:

8(x² - x - 2)(-x² - 4x - 3)

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The actual numerical differences or intervals between the categories may not be equal or well-defined. Therefore, the measurement level is ordinal.

The level of measurement for the given age categories (0-16, 17-19, 20-24, 25-29, 30-34, 35-39, 40+) is ordinal.

In an ordinal scale of measurement, the values assigned to variables have a meaningful order or ranking. In this case, the age categories are arranged in a specific order, from the youngest (0-16) to the oldest (40+). This order represents a meaningful progression of age groups. However, the actual numerical differences or intervals between the categories may not be equal or well-defined. Therefore, the measurement level is ordinal.

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An object's average speed is a measurement of how quickly it moves over a predetermined amount of time. The calculation is done by dividing the overall distance travelled by the overall travel time. In other words, it reveals the average amount of distance an object has travelled per unit of time.

 In the case provided, we can apply the following calculation to get the average speed of the car:

average speed = total distance / total time

In this instance, a total of 400 kilometers was travelled and 8 hours were expended.

   average speed = 400 km / 8 hours

                             = 50 km/h

   This means that the average speed of the car is 50 kilometers per hour. This is the average speed at which the car traveled over the 8 hour period. It does not necessarily mean that the car was traveling at exactly 50 km/h for the entire 8 hour period, It could have gone faster or slower at different times, but on average it traveled at 50 km/h.

  Therefore ,average speed of the car is 50 km/h .

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The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

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p=2(l+b) =2(3x-3) =6x=48=x=8

Answer: It’s 8

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

360-70-60-65-40

= 125

Answered by GAUTHMATH

Answe$12.15

Step-by-step explanation:

She paid 60% of the price...

x + .6x = 32.40

1.6x = 32.40

x=20.25

20.25 * .60 = 12.15

Answer:

7/4

Step-by-step explanation:

i am sooo sure that  the answer is 1.75

The left-hand limit of g(x) at 0 for the given function, f(x) = (1 + arctan x)3() is 0.

First, we need to find the expression for g(x) in terms of f(x).
From the given information, we know that f(x) = (1 + arctan x)^3.
Let's simplify this expression:
f(x) = (1 + arctan x)^3
= (1 + arctan x)(1 + arctan x)(1 + arctan x)
= (1 + 3arctan x + 3(arctan x)^2 + (arctan x)^3)
Now, we need to find g(x), which is defined as g(x) = f(x) - f(-x).
So,
g(x) = f(x) - f(-x)
= [(1 + 3arctan x + 3(arctan x)^2 + (arctan x)^3)] - [(1 + 3arctan(-x) + 3(arctan(-x))^2 + (arctan(-x))^3)]
= [(1 + 3arctan x + 3(arctan x)^2 + (arctan x)^3)] - [(1 - 3arctan x + 3(arctan x)^2 - (arctan x)^3)]
= 6arctan x - 2(arctan x)^3
Now, we need to find the left-hand limit of g(x) as x approaches 0.
To do this, we can simply substitute x = 0 into the expression for g(x):
lim x→0- g(x) = lim x→0- [6arctan x - 2(arctan x)^3]
= 6arctan 0 - 2(arctan 0)^3
= 0
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Answer: its (4f 5) ^3

Step-by-step explanation: