Using the slope formula, find the slope of the line through the given points.
(9,4) and (6,7)

Answer:

true

Step-by-step explanation:

That is a true statement.

The density of steel is approx. 7.85 g/cm³.

The density of water is approximately 1 g/cm³.

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

We know that GE = [tex]x+21[/tex] = [tex]2x+23+9[/tex]

Calculate accordingly!

[tex]x+21=2x+23+9[/tex] ( minus [tex]2x[/tex] and minus 21 )

[tex]x-2x=-21+23+9[/tex]

[tex]-x=11[/tex]

Therefore,

[tex]x=-11[/tex]

( You can test this out by substituting the values )

Answer:

27 minutes

Step-by-step explanation:

Hello!

500 and 900 are both multiples of 100, so let's first find the rate at which it takes Kofi to type 100 pages.

It takes 3 minutes to type 100 papers.

Since 900 is 9 times 100, we can also multiply the time by 9.

It takes 27 minutes to type 900 papers.

The inverse function of the function is s'1(t) = 1/7(10t + 85)

Inverse functions are the opposite of an original equation.

This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function f(x) is given as

s(t) = -(85 - 7t)/10

As a general rule, we start by writing s(t) as a variable (say s(t) = s).

So, the equation of the function becomes

s = -(85 - 7t)/10

The next step is to switch/swap the positions of s and t in the above equation s = -(85 - 7t)/10

The equation becomes

t = -(85 - 7s)/10

The next step is to make s the subject of the formula in the above equation t = -(85 - 7s)/10

The equation becomes

10t = -(85 - 7s)

Open the bracket

10t = -85 + 7s

So, we have

7s = 10t + 85

Divide by 7

s = 1/7(10t + 85)

Express as an inverse function

s'1(t) = 1/7(10t + 85)

Hence, the inverse function of the function is s'1(t) = 1/7(10t + 85)

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The best description for the elevation of Kristianstad is below sea level.

The elevation of Kristianstad, Sweden, a city founded by King Christian IV of Denmark, is -2 meters .

The best option that describes the elevation of Kristianstad is as follows:

Therefore,

At sea level the elevation will be at 0 meters.

Above sea level the elevation will be above 0 meters. That will make the elevation to be positive

Below sea level the elevation will be below 0 meters. That will make the elevation to be negative.

Therefore, the best description for the elevation of Kristianstad is below sea level.

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The answer is 24 - 22i

The answer we got is a complex number.

We are asked to find out the multiplication of a complex number and a real number.

The general form of a complex number is a + bi.

If we need to find the product of a complex number and a real number,

then, we need to multiply the real and imaginary parts by the real number and write down the answer.

The real number given is 2.

And the complex number given is 12 - 11i.

The real part of the complex number is 12.

And the imaginary part of the complex number is -11.

When the real part of the complex number is multiplied by the real number, we get 12 × 2 = 24.

When the imaginary part of the complex number is multiplied by the real number, we get (-11) × 2 = -22

Therefore, the required complex number is 24 - 22i

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The length of XY is 4, the length of ZW is 6 and the lengths are not congruent

The coordinates of the points are given as:

X, Y, Z, and W = -8, -4, 3, and 9,

The above means that

XY = |Y - X|

ZW = |W - Z|

So, we have

XY = |-4 + 8| = 4

ZW = |9 - 3| = 6

Hence, the length of XY is 4, the length of ZW is 6 and the lengths are not congruent

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The graphs of the transformed functions are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

Here we have the quadratic parent function:

f(x) = x^2

And we want to apply some transformations, and then graph them.

The transformations are:

a) "Reflect the graph about the x-axis."

This is written as:

g(x) = -f(x)

Replacing f(x) by the actual function:

g(x) = -x^2

b) "Vertical compress by a factor of 13"

This is written as:

g(x) = f(x)/13 = x^2/13

c) "Vertical shift up 2."

This is written as:

g(x) = f(x) +2 = x^2 + 2

d)  "Horizontal shift right 3."

This is written as:

g(x) = f(x - 3) = (x - 3)^2

The graphs are below, the colors are:

a) g(x) = -x^2 → green.

b) g(x) = x^2/13 → blue

c) g(x) = x^2 + 2 → orange

d) g(x) = (x - 3)^2 → purple.

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The correct options applied for the question are-

B.The solution's exponent is -12.

C.The solution's coefficient ≥ 1 but < than 10.

D 3.0×10⁻¹² is the quotient.

As, per the given question,

The equation stated can be written as;

= (9.6×10⁻⁸)/(3.2×10⁴)

Use the power rule of exponents;

= (9.6×10⁻⁸×10⁻⁴)/(3.2)

Add both the power of base 10 with sign as the same base is there.

= ((9.6×10⁻⁸⁻⁴)/(3.2)

= (9.6×10⁻¹²)/(3.2)

Divide the numerator by 3.2

= 3.0×10⁻¹²

The following conclusions are possible:

B.The solution's power of ten is -12, which is the difference of the original exponential function.

C.The coefficient is 3, which is greater than one but less than ten.

D. 3.0×10⁻¹² is the quotient.

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The complete question is-

What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times 10 Superscript negative 8 Baseline) Over (3.2 times 10 Superscript 4 Baseline) End Fraction

A.The coefficient of the solution is 6.4, the difference of the original coefficients.

B.The exponent of the solution is –12, the difference of the original exponents.

C.The coefficient of the solution must be greater than or equal to one but less than 10.

D.The quotient is 3.0 × 10-12

E.The solution is a very large number.

Answer: ur mom

Step-by-step explanation:

Answer: 20 pieces, 72 inches of ribbon

Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches

We get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.

A) We know that the equation of the line is:

y - y₁ = m (x - x₁)

where m = y₂ - y₁ / x₂ - x₁

Now, we have:

P = ( x₁, y₁) = (2, 3)

Q = (x₂, y₂) = (9, 5)

We get m by substituting the values as:

m = 5 - 3 / 9 - 2 = 2 / 7

The equation then will be:

y - y₁ = 2 / 7 (x - x₁)

Substituting the values, we get that:

y - 3 = 2/7 ( x - 2)

7 y - 21 = 2 x - 4

2 x - 7 y - 4 + 21 = 0

2 x - 7 y + 17 = 0

B) When PQ will intersect x-axis, then the point will be = ( x, 0)

2 x - 7 y + 17 = 0

2 x - 7 (0) + 17 = 0

2 x = -17

x = - 17 / 2

Point = (-17 / 2 , 0)

Therefore, we get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.

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Solution :

Repeating or recurring decimals :

Repeating or recurring decimals are those decimal expansions that do not terminate or end after a specific number of digits. Such numbers have an infinite number of digits after the decimal point. And there is a repetitive pattern in those digits.

Decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number of decimal places. For example, 1.5 = 15/10 = 3/2. But with repeating decimals, it is impossible to count the number of decimal places as it is infinite. So, there are some specific steps to be followed to convert repeating decimals to fractions.

The repeating decimal to fraction steps of conversion are given below:

Step 1: Identify the repeating digits in the given decimal number.

Step 2: Equate the decimal number with x or any other variable.

Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. This way you will get another equation.

Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.

Step 5: Simplify to get the answer.

Let us take an example to understand the conversion of repeating decimals to fractions in a better way. Convert 0.77777... to a fraction.

Step 1: We can observe that 7 is repetitive in the given decimal number.

Step 2: Let x = 0.7777...

Step 3: There is only 1 repetitive digit, so multiply this equation by 10. We get, 10x = 7.7777...

Step 4: Subtract x = 0.7777... from 10x = 7.7777... We will get 9x = 7.

Step 5: x = 7/9. Therefore, 0.7777... = 7/9.

Hence,

you multiply 10 by the repeating decimal to make a fraction

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​

Answer:

Subtraction

Step-by-step explanation: Your subtracting 4 to the equation

Answer:

A: 0.50

B: 2.70

C: 28.20

D: 3.10

E: 2.40

F: 9.90

G: 15.200

H:  1.40

I: 0.80

J: 39.20

K: 2.50

L: 0.80

Here are the first ones

M: 4

N: 4

O: 23

P: 8

Q: 4

R: 53

S: 3

T: 28

U: 11

V: 17

W: 92

X: 25

Y: 8

Z: 3

These are the last ones

Hope you found these helpful! <3

Answer:

3.4

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

Steps

1. Isolate the variable subtract 4.25 since it's positive.

4.25 - 1.25x = 0

- 4.25 - 4.25

- 1.25x = - 4.25

2. Divide by - 1.25 in both sides of equation.

- 1.25x = - 4.25

--------- ---------- <------- fraction bar/ divide

-1.25 -1.25

x = 3.4

Check:

4.25 - 1.25 (3.4) = 0

4.25 - 4.25 = 0

0 = 0

True statement.

The probability that at least one of the births requires a cesarean delivery is 0.897.

To calculate prob(x >= 1):

prob(x>=1) = 1 - prob(x = 0)

                  = 1 - (1-0.248)^8

                  = 0.897

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The relationship between two variables are proportional if their ratios are equivalent (taken from Khan Academy).

To determine whether or not a relationship is proportional, we can see if two given ratios are the same.

We're given:

These pieces of information are ratios. We can write them in the following format:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}[/tex] and [tex]\dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

We can see if they're equivalent by finding a common denominator.

Multiply the first ratio by [tex]\dfrac{2}2[/tex]:

[tex]\dfrac{400\hspace{4}meters}{1.5\hspace{4}minutes}*\dfrac{2}{2}\\\\= \dfrac{800\hspace{4}meters}{3\hspace{4}minutes}[/tex]

The ratios are equivalent. Therefore, the relationship between the number of meters Joe ran and the number of minutes he ran is proportional.

Yes, there is a proportional relationship.

Applying the distributive property, the solution of x for item c is given as follows:

x = (3a - 8 - b)/(a - b).

The distributive property is when the outside term multiplies each of the inside terms of an expression.

For example, in this problem:

Hence the solution for x of the expression is found as follows:

a(x - 3) + 8 = b(x - 1).

ax - 3a + 8 = bx - b

ax - bx = 3a - 8 - b

x(a - b) = 3a - 8 - b

x = (3a - 8 - b)/(a - b).

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Answer:

11.5

Explanation and Check part below

Hope this helps :)

Step-by-step explanation:

x stands for an unknown value, so we will put the x next to the 6 to solve the equation.

6x = 69

--- ---- <------ fraction bar/divide

6 6

x = 11.5

Check:

6 (11.5) = 69

69 = 69

True statement.

Answer: y = 6/5 x + 1

The slope intercept form of a linear equation is:

y = mx + b

where m is the slope and b is the y-intercept value.

According to the question we need the solve this equation for y:

6x – 5y = -5

This can be written as:

-6x + 5y = 5

-6x + 6x + 5y = +6x + 5

0 + 5y = 6x + 5

5y = 6x + 5

5y / 5  = (6x + 5) / 5

y = 6/5 x + 1

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Your customers are investing $160,000 in a house. How much points are they paying in total if they put down a 25% down payment and the bank charges two points at closing? The loan amount after their 25% down payment ($160,000 x.75 = $120,000).

A down payment is a quantity of money that a buyer pays at the beginning of a pricey good or service purchase. A portion of the entire purchase price is covered by the down payment, and the buyer frequently takes out a loan to cover the balance.

This sum is typically expressed as a percentage of the overall cost of buying the house. A typical down payment is 20%, for instance, which means the buyer will pay 20% of the total purchase price up front. During the closing procedure, this sum is typically paid in the form of a cashier's check.

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Solution :

solve by considering data :

The perimeter of a rectangular pool is 56 meters. If the length of the pool is 16 meters, then find its width.

Here the perimeter and the length of the rectangular pool are given. We have to find the width of the pool.

The perimeter P of a rectangle is given by the formula, P=2l+2w, where l is the length and w is the width of the rectangle.

Given that, the perimeter is 56 meters and the length is 16 meters. So, substitute these values into the formula.

56=2(16)+2w

Simplify.

56=32+2w

Subtract 32 from both sides.

24=2w

Divide each side by 2 .

12=w

Therefore, the width of the rectangular pool is 12 meters.

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Answer:

27% or 0.27

Step-by-step explanation:

Since this is a probability question, you have to add the marbles together and divide by the probability that it's asking for. So...

# of R marbles = 3

# of G marbles = 5

# of B marbles = 2

# of W marbles = 1.

So add it together and you will get 11.

Now, divide the number of marbles/total number of R marbles.

3/11

Which gives you 0.27272727

So your answer is 27% or 0.27

Answer:

No

Step-by-step explanation:

The largest number would have 6 counters in the 10s and the remainder the in the 1s column making the number 63 which is greater than 51.111

[tex] \Large {\mathbb {SOLUTION: }}[/tex]

[tex] \: \: \text{L = 3w - 1}[/tex]

[tex] \: \: \text{P=46}[/tex]

[tex] \: \: \text{2(3w-1) + 2w = 46}[/tex]

[tex] \: \: \text{6w - 2 + 2w = 46}[/tex]

[tex] \: \: \text{8w = 48}[/tex]

[tex] \: \: \text {W = 6 }[/tex]

[tex] \: \: \text{L = 17}[/tex]

[tex] \: \: \text{Applying the inequalities:}[/tex]

[tex] \: \: \text{L>=17 and w=6}[/tex]

[tex] \: \: \text{The perimeter is at least 46.}[/tex]

Answer:

[tex]250 \leqslant 57m[/tex]

[tex]57m \: \geqslant 250[/tex]

Step-by-step explanation:

Minimum is a word meaning greater than or equal to.

Hope this helps!

If you have anyother question feel free to ask!

Answer:

32

_____

         [tex]\left|-3\left(2\right)-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\\left|-3\cdot \:2-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-3 \cdot 2 - 5 = -11\\\left|-11\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-1 - 2^2 = -1 - 4 = -5\\\left|-11\right|+\left|-5\right|+2\cdot \:2^3\\|-11| = 11\\|-5| = 5\\2 \cdot 2^3 = 2 \cdot 8 = 16\\11+5+16\\=32[/tex]

_____

The calculated division of the numbers 40 divided by 20 is 2

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

40 divided by 20

When represented as an equation, we have

40 divided by 20 = 40/20

Divide 40 by 20

So, we have the following result

40 divided by 20 = 2

Using the above as a guide, we have the following:

the result is 2

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In linear equation ,  the quotient of a number n= 27

What is a formula for linear equations?

2 + N/9 = 5

N/9 = 5 - 2

N/9 = 3

N = 9*3

N=27

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