1) The coordinates of point A are (2,3) and point B is
(10,10). Find the distance of segment AB.

Answer:

36 inches would be 3 feet

Step-by-step explanation:

Responder:

x = 40

y = 120

z = 80

Explicación paso a paso:

Número dividido = 240

Las 3 partes:

x, y, z

y = 3x

Z = 3x - 40

x + y + z = 240

x + 3x + 3x - 40 = 240

7x - 40 = 240

7x = 240 + 40

7x = 280

x = 280/7

x = 40

y = 3 (40)

y = 120

z = 3x - 40

z = 3 (40) - 40

z = 120 - 40

z = 80

Answer:

A

Step-by-step explanation:

If u want to find nathan’s Age then 4f equals to Nathan

If u want to find fred’s age then nathan’s Age plus 27

Hope this helps

Answer:

Since this number is small we know that the exponent will be negative.

In scientific notation the decimal must be between the first two NON zero numbers. So move the decimal and count how many positions it was moved.

1.2 x 10 ^-11

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

1. convert the mixed number choices to improper fractions

2. type each improper fraction into a calculator

3. see which one comes out as 2.111111111

4. find out that it's B and you'll B happy (see what I did there, it's a pun)

3 - (-2)

= 3 + 2

=5

Option D is the correct answer

Answer:

Step-by-step explanation:

\( = 3 - ( - 2)\)

\( = 3 + 2\)

\( = 5\)

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Answer:

10 %

Step-by-step explanation:

let the percent be x

according to the question

7.8 = x % 0f 78

7.8 = x /100 * 78

7.8*100 = 78x

780 = 78x

780/78 = x

10 = x

Answer:

10 percent

Step-by-step explanation:

7.8 is ? of the number 78.

So, we will multiply 7.8 by 100.

7.8 x 100 = 780

Now, we will divide 780 by 78.

780/78 = 10

So, our answer is 10.

Or, you can divide:

78 divided by 7.8 is 10

Answer:

Total amount ≈ $115,952.40 (rounded to 2 decimal places)

Step-by-step explanation:

To calculate the total amount Kyle will pay over 30 years, we need to first determine his annual mortgage payment. We can use the mortgage formula to do this:

M = P * r * (1 + r)^n / ((1 + r)^n - 1)

Where:

M = monthly mortgage payment

P = principal loan amount (in this case, $40,000)

r = monthly interest rate (annual interest rate / 12)

n = total number of payments (loan term in years * 12)

In Kyle's case:

P = $40,000

Annual interest rate = 9% = 0.09

r = 0.09 / 12 = 0.0075

Loan term = 30 years

n = 30 * 12 = 360 payments

Plug these values into the formula:

M = 40,000 * 0.0075 * (1 + 0.0075)^360 / ((1 + 0.0075)^360 - 1)

M ≈ $322.09 (rounded to 2 decimal places)

Now that we have the monthly mortgage payment, we can calculate the total amount paid over 30 years:

Total amount = Monthly mortgage payment * number of payments

Total amount = $322.09 * 360

Total amount ≈ $115,952.40 (rounded to 2 decimal places)

So, Kyle will pay approximately $115,952.40 over 30 years for his mortgage.

Based on the chemical equations given, the balanced equation would be d. D.

In Chemistry, a balanced equation is one that has the same number of atoms on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2 KCI atoms and 6 Oxygen atoms on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

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The independent variable that has no effect on the dependent variable, the effect size statistic will  have a value of 0.00.

The independent variable is known to be one type of an experimenter controls.

Note that the dependent variable is seen as the variable that alters the response done to the independent variable.

The two variables may be linked by  the term cause and effect and when the independent variable is altered, so the dependent variable is affected.

Hence, The independent variable that has no effect on the dependent variable, the effect size statistic will  have a value of 0.00.

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Answer:

The answer is communtative property

Step-by-step explanation:

Changing the order of the addends doesn't affect the sum

Solving for "t" gives us:  t = √(480- r)/16

So, we would use a value of zero for "h" in this equation to find the time it takes for the object to hit the ground.

A mathematical equation is a statement that demonstrates the equality of two expressions and typically includes variables, constants, and mathematical operations.

The equal sign (=) separates the two sides, which are labelled as the left-hand side (LHS) and the right-hand side (RHS).

An equation's two main functions are to find the values of the variables that satisfy the equation and to express a relationship between various quantities or variables.

The value of "h" in the equation represents the height of the object at a given time "t". If the question asks for the length of time it would take the object to hit the ground, we need to use the height of the object when it hits the ground, which is zero.

Therefore, we can set h(t) = 0 and solve for "t":

0 = -16t² + 16r + 480

Solving for "t" gives us:

t = √(480- r)/16

So, we would use a value of zero for "h" in this equation to find the time it takes for the object to hit the ground.

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Answer:

h=2Ab

Step-by-step explanation:

if you divide b on both sides you get Ab=1/2h

Then you would divide by 1/2 which is the same as multiplying by 2 which gives you the final answer of h=2Ab

Answer:

B

Step-by-step explanation:

x² = 12 ( take square root of both sides )

x = ± \(\sqrt{12}\) = ± \(\sqrt{4(3)}\) = ± ( \(\sqrt{4}\) × \(\sqrt{3}\) ) = ± 2\(\sqrt{3}\)

Answer:

9/10 or 0.9

Step-by-step explanation:

Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run

where
rise = y2 - y1
run = x2 - x1

Given points (- 6, - 5) and (4, 4),

rise = 4 - (-5) = 4 + 5 = 9

run = 4 - ( - 6) = 4 + 6 = 10

Slope = rise/run = 9/10 or 0.9

Answer:

x = 800 and y = 330

Step-by-step explanation:

Let two numbers be x and y.

Sum of two numbers is 1130.

Their difference is 470.

So,

x+y=1130 ...(1)

x-y = 470 ...(2)

Add equation (1) and (2).

x+y+x-y = 1130+470

2x = 1600

x = 800

Put the value of x in equation (1)

800+y=1130

y = 1130-800

y = 330

So, the smallest number is 330 and the largest number is 800.

Answer:

-3x-2x+5y

hope this helps!

-3x+5y-2z

steps: 1.arrange it according to the like and unlike terms.

2. solve by adding the numbers

Answer: a. 14 Computers

b. 62 Computers

Step-by-step explanation:

a) What is the amount of increase in computers needed?

Number of Computers sold last month = 48

Percentage increase required = 30%

Amount of increase in computers needed= 30% × 48

= 0.3 × 48

= 14.4

= 14 approximately

b)What is the new amount of computers the team must sell?

This will be the amount of Computers sold last month plus the increase.

= 48 + 14

= 62 Computers

Answer:

We can define the algebraic transformations used here as:

Horizontal translation.

For a general point (x, y), a horizontal translation of N units is written as:

(x + N, y)

if N < 0, the translation is to the left

if N > 0, the translation is to the right.

Vertical translation:

For a general point (x, y), a vertical translation of N units is written as:

(x , y + N)

If N < 0, the translation is downwards

if N > 0, the translation is upwards.

Vertical dilation:

For a point (x, y), a vertical dilation of scale factor k is given by:

(y, k*y)

Horizontal dilation:

A dilation of scale factor k is written as:

(x/k, y)

Here we go from:

(x, y) to (3x - 4, (1/5)*y - 2)

So we have:

An horizontal dilation of scale factor 1/3 followed of a horizontal translation of 4 units.

And a vertical dilation of scale factor (1/5) followed by a translation downwards of 2 units.

The type of variable that represents the names of the automobile manufacturers would be the categorical variable.

A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.

There are various types of variables that include the following:

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The value of the triple integral ∭Ex⁶eʸdV over the region E is 0.

To evaluate the triple integral, we need to determine the limits of integration for each variable (x, y, z) based on the given bounds. The region E is bounded by the parabolic cylinder z = 81 - y² and the planes z = 0, x = 9, and x = -9.

The limits of integration for x are from -9 to 9. The limits of integration for y are determined by the parabolic cylinder, which is y² ≤ 81 - z. Since z = 0, the limits for y are -9 ≤ y ≤ 9. The limits of integration for z are from 0 to 81 - y².

Therefore, the triple integral can be expressed as:

∭Ex⁶eʸdV = ∫[-9, 9] ∫[0, 81-y²] ∫[-9, 9] x⁶eʸ dz dy dx

However, when we look at the integrand, Ex⁶eʸ, we see that it is an odd function with respect to x. Since we are integrating over symmetric bounds (-9 to 9) and the integrand is an odd function, the value of the integral will be 0. Hence, the value of the triple integral ∭Ex⁶eʸdV over the region E is 0.

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Complete question - Evaluate the triple integral ∭Ex⁶eʸdV where E is bounded by the parabolic cylinder z=81−y² and the planes z=0,x=9, and x=−9.

Answer:

8 in each row

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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The correlation coefficient is -7.44, which shows a strong negative correlation.

To calculate the correlation coefficient, you can use the following formula:

r = (n Σ(xy) - Σ(x) Σ(y)) / √((n Σ(x²) - (Σ(x))²) (n Σ(y²) - (Σ(y))²))

Where n is the number of data points, x is the variable on the x-axis, y is the variable on the y-axis, Σ(xy) is the sum of the products of x and y, Σ(x) is the sum of x, Σ(y) is the sum of y, Σ(x²) is the sum of the squares of x, and Σ(y²) is the sum of the squares of y.

Plugging in the values from the data, we get:

r = (5 x 198 - 39 x 91) / √((5 x 114 - 39²) x (5 x 187 - 91²))

Simplifying this equation gives us:

r = (-179) / √((-97) x (-6))

r = (-179) / √(582)

r = (-179) / 24.07

r = -7.44

The correlation coefficient is -7.44, which indicates a strong negative correlation. This means that as the value of x increases, the value of y decreases. Conversely, as the value of x decreases, the value of y increases.

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The required value of the 30th percentile of the given data set 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6 is equal to 5.

To find the value of the 30th percentile,

We need to sort the data set in ascending order first,

1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20

The 30th percentile is the value below which 30% of the data falls.

To find this value, we can use the formula,

P = (n / 100) × x

where P is the desired percentile (30th percentile in this case),

n is the total number of data points,

And x is the rank of the value corresponding to the desired percentile.

Here,

The total number of data points n = 20

x = (30 / 100) × 20

  = 6.

This means that the value corresponding to the 30th percentile is the 6th value in the sorted data set, which is 5.

Therefore, the value of the 30th percentile for the given data set is 5.

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Answer:

\(\large\boxed{\mathtt{x=8}}\)

Step-by-step explanation:

\(\textsf{For this problem, we are asked to solve for x.}\)

\(\textsf{Note that our equation is in word form, let's change it into numerical form.}\)

\(\large \tt { {4 \ plus \ 3 \ eighths \ x \ equals \ seven. } \atop {4+ \frac{3}{8} x = 7. } }\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Our goal is to find x. We should isolate x where its alone on the left side.}\)

\(\underline{\textsf{How?}}\)

\(\textsf{Simply subtract 4 from both sides to isolate x.}\)

\(\large\underline{\textsf{Isolating x;}}\)

\(\tt 4 - 4 + \frac{3}{8} x = 7 - 4\)

\(\underline{\textsf{We should have;}}\)

\(\tt \frac{3}{8} x = 3\)

\(\textsf{We don't know the value of x yet. We only know 3/8 of x.}\)

\(\textsf{For x to equal 1, multiply both sides of the equation by the \underline{reciprocal} of the fraction.}\)

\(\large\underline{\textsf{What is a Reciprocal?}}\)

\(\textsf{A Reciprocal is a \underline{fraction} where the Numerator and the Denominator \underline{flip}.}\)

\(\underline{\textsf{For example;}}\)

\(\large \tt {Flip \ the \ Numerator \ and \ the \ Denominator.} \atop {The \ Reciprocal \ of \ \frac{5}{4} \ is \ \frac{4}{5}.}\)

\(\large\underline{\textsf{Find the Reciprocal of} \ \frac{3}{8};}\)

\(\tt{ The \ Reciprocal \ of \ \frac{3}{8} \ is \ \frac{8}{3}.}\)

\(\underline{\textsf{Multiply;}}\)

\(\tt \frac{8}{3} \times \frac{3}{8} x = 3 \times \frac{8}{3}\)

\(\large\boxed{\mathtt{x=8}}\)

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads:}\)

\(\large\textsf{Four plus three eighths x equals seven}\)

\(\huge\textbf{Equation should look like:}\)

\(\mathtt{4 + \dfrac{3}{8}x = 7}\)

\(\huge\textbf{How will we solve for it?}\)

\(\mathtt{4 + \dfrac{3}{8}x = 7}\)

\(\mathtt{\dfrac{3}{8}x + 4= 7}\)

\(\large\text{SUBTRACT 4 to BOTH SIDES:}\)

\(\mathtt{\dfrac{3}{8}x + 4 - 4 = 7 - 4}\)

\(\large\text{CANCEL out: 4 } \rm{-}\large\text{ 4 because it gives you 0.}\)

\(\large\text{KEEP: 7 }\rm{-}\large\text{ 4 because it help us solve for the x}-\large\text{value.}\)

\(\mathtt{\dfrac{3}{8}x = 7 - 4}\)

\(\mathtt{\dfrac{3}{8}x = 3}\)

\(\large\text{MULTIPLY }\rm{\dfrac{8}{3}\large\text{ to BOTH SIDES:}\)

\(\mathtt{\dfrac{3}{8}x\times\dfrac{8}{3} = 3\times\dfrac{8}{3}}\)

\(\large\text{CANCEL out: }\rm{\dfrac{3}{8}\times\dfrac{8}{3}\large\text{ because it gives you 1.}\)

\(\large\text{KEEP: }\rm{3\times\dfrac{8}{3}\large\text{ because it gives the x}\rm{-}\large\text{value.}\)

\(\mathtt{x= 3\times\dfrac{8}{3}}\)

\(\mathtt{x= \dfrac{3}{1}\times\dfrac{8}{3}}\)

\(\mathtt{x = \dfrac{3\times8}{1\times3}}\)

\(\mathtt{x = \dfrac{24}{3}}\)

\(\mathtt{x = 24\div3}\)

\(\mathtt{x = 8}\)

\(\huge\textbf{What is the overall answer?}\)

\(\huge\boxed{\mathtt{x = 8}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

(x -5)(x²  + 6)

Step-by-step explanation:

f(x) = x³ - 5x² + 6x  - 30

Synthetic division:

          5          1     -5      6     -30

                      0      5      0      30

                      1       0      6       0

(x - 5) is  a factor

f(x) = x³ - 5x² + 6x  - 30 = (x -5)(x²  + 6)