19.875 kg = ___________ g

Answer:

A

Step-by-step explanation:

The mean is 3, the median is 3, and the mode is 5, and there is no gap in the data.

Step-by-step explanation:

(1/8 - X) = -1/8

or, (1/8+1/8) = X

or, X=1/4

it's the final answer you can check it if you want

Answer:

7300 is the write answer

Answer:

A

Step-by-step explanation:

Rearrange the function making y the subject

y - 3x = - 14 ( add 3x to both sides )

y = 3x - 14 , that is y = g(x) , so

g(x) = 3x - 14 → A

Answer:

A

Step-by-step explanation:

The expression that shows 2 as a factor of each term in 20 + 24 is

2 ( 10 + 12 ).

An expression is any mathematical statement that consists of numbers, variables, and an arithmetic operation such as addition, subtraction, multiplication, and division between them.

We have,

20 + 24

We need to find a common factor 2 of each term.

In the expression 20 + 24 we have two terms, 20 and 24.

20 = 2 x 10

24 = 2 x 12

Now we see that both terms have 2 as a factor.

So we can write as:

= 2 ( 10 + 12 )

Thus the expression that shows 2 as a factor of each term in 20 + 24 is

2 ( 10 + 12 ).

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Answer:

Step-by-step explanation:

If it shrunk by 2/7 in the wash it is equal to the equation:

Original length x 2/7 = 70cm so we just have to work backwards so the answer is

Original length = 70/(5/7) = 98cm

OR

WE KNOW THAT 5/7 = 70 so 1/7 = 70/5 = 14 so we times 14 by 7 to get 98cm

Answer:

22 + x = 43

Step-by-step explanation:

let x = vanessa's savings

22 + x = 43

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Answer:

Multiplying the first equation by 2, we get:

6x - 4y = 12

Adding the second equation, we get:

6x - 4y + x + 4y = 2 + 12

Simplifying, we get:

7x = 14

This is the same equation given in the problem statement. So any system of equations that has this equation and the second equation will also have the solution (2, 0). For example:

3x - 2y = 6

7x = 14

Answer:

we know that

The volume of the prism is equal to

V=L*W*H

where

L is the length side of the base of the prism

W is the width side of the base of the prism

H is the height of the prism

In this problem we have

L=\frac{d-2}{3d-9}=\frac{d-2}{3(d-3)}

W=\frac{4}{d-4}

H=\frac{2d-6}{2d-4}=\frac{2(d-3)}{2(d-2)}=\frac{(d-3)}{(d-2)}

Substitute the values in the formula

V=\frac{d-2}{3(d-3)}*\frac{4}{d-4}*\frac{(d-3)}{(d-2)}=\frac{4}{3(d-4)}=\frac{4}{3d-12}

therefore

the answer is the option

4/3d-12

Step-by-step explanation:

The solution is, 4/(3d - 12)  is an expression for the volume of the following prism​.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

we know that

The volume of the prism is equal to

V=L*W*H

where

L is the length side of the base of the prism

W is the width side of the base of the prism

H is the height of the prism

In this problem we have

L=(d - 2 ) / 3(d-3)

W=4/(d-4)

H=(d -3 ) / (d-2)

Substitute the values in the formula

V= (d - 2 ) / 3(d-3) * 4/(d-4) * (d -3 ) / (d-2)

  = 4/ 3(d-4)

  = 4/ (3d - 12)

Therefore,

the answer is the option 4/(3d - 12).

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Answer:

486 pi or 1526.81 km^3

Step-by-step explanation:

The volume of a hemisphere is found by the equation: 2/3(pi*r^3)

Insert the radius 9 km into the equation, 2/3(pi*9^3) -> and solve

2/3(729pi)

(1458/3) pi

486 pi OR multiply by 3.1415926 and get 1526.81 km^3

Answer:

x = 5.83 inches

Step-by-step explanation:

Given that,

The base of a right triangle, b = 5 inches

Perpendicular distance of a right anged triangle, h = 4 inches

We need to find the value of x. x is the Hypotenuse of the triangle.

We can use the Pythagoras theorem to find it.

According to Pythagoras theorem,

\(H^2=b^2+h^2\)

H is Hypotenuse

\(H^2=3^2+5^2\\\\H^2=9+25\\\\H=5.83\ \text{inches}\)

So, the value of x is equal to 5.83 inches.

Answer:

it droped 40 degres

Step-by-step explanation:

Answer:

The temperature dropped 4 degrees per 1000 feet.

Step-by-step explanation:

90 - 50)/(10,000:1,000) = 40/10 = 4 degrees per 1000 ft

Polynomial: 6x^3 + 12x^2 - 18x

Form 1: 6(x^3 + 2x^2 - 3x)

Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.

Form 2: 6x(x^2 + 2x - 3)

Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.

In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.

To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:

Polynomial: 6x^3 + 12x^2 - 18x

To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.

Form 1: 6(x^3 + 2x^2 - 3x)

In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.

Form 2: 6x(x^2 + 2x - 3)

In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.

We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.

In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.

In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.

By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.

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Answer:

(x, y) = (4,-3)

Step-by-step explanation:

...............

.

.

.

.

Confidence interval for population proportion is

sample proportion +/- confidence coefficient*standard error of p

Sample proportion = p = x/n = 180/300 = 0.6

Confidence coefficient is the critical value of z for 95% confidence level = 1.96

Standard error of p = sqrt [p*(1-p)/n]

= sqrt [0.6*0.4/300]

= 0.0283

The CI is

0.6 +/- 1.96*0.0283

0.6 +/- 0.055

lower boundary is 0.6-0.055 = 0.545

upper boundary is 0.6+0.055 = 0.655

The CI is (0.545, 0.655)

Given the below function;

If the mass is 20.5 grams, then you have to replace y = 20.5 in the equation.

20.5 = 0.3x - 2

and solve for x, as follows:

20.5 + 2 = 0.3x

22.5 = 0.3x

22.5/0.3 = x

75 = x

The approximate length is 75 cm

The triangle is Obtuse and scalene , Option C is the correct answer.

A triangle is a polygon with three sides , three angles and three vertices.

A triangle can be classified as Acute , Right or Obtuse on the basis of the angle in a Triangle .

and it is classified as scalene , equilateral and isosceles on the basis of the length of the sides of a triangle.

The triangle given in the question has all the sides different , so it is a scalene triangle.

One of the angle is obtuse angle and so it can be classified as a Obtuse Angle Triangle.

Therefore , Option C is the correct answer.

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Answer:

right angle

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

5(2x - 8) + 15 = -15

First, let's move the 15 to the opposite side of the equation. We'll do this by subtracting 15 from BOTH sides of the equation.

5(2x - 8) + 15-15 = -15-15

5(2x-8) + 0 = -30

5(2x-8) = -30

Now let's expand that first term.

5(2x)-5(8) = -30

10x - 40 = -30

Now let's move the -40 to the opposite side of the equation. We'll do this by ADDING 40 to both sides of the equation.

10x - 40 + 40 = -30 + 40

10x -0 = 10

10x = 10

Now to solve for x, we divide BOTH sides by 10 to "isolate the variable" aka get x alone.

10x/10 = 10/10

x = 1

The answer is x = 1.

Let's check if our answer is correct!

Original equation: 5(2x - 8) + 15 = -15

Substitute 1 for x.

5(2*1-8) + 15 =

5(2-8) + 15 =

5(-6) + 15 =

-30 + 15 = -15 >>> which is exactly what we started with! So x is 1.

Answer:

68°

Step-by-step explanation:

Since angle 1=68° and angle 5 is a corresponding angle, thus, angle1=angle 5

therefore angle 5 is 68°

it has one solution (-5;5)

Answer:

It has one solution (-5,5).

Step-by-step explanation:

Answer:

Similarity: sinusoidal function has the same general shape as a sine or cosine function.      Differences: y = sin x and y = cos x

Step-by-step explanation: