4 + x = 13 can be solved using the Subtraction Property of Equality. true or false

Step-by-step explanation:

e⁰ = 1

so, we have

(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)

FYI - depending on what your teacher wants to see as simplified answer, it could be also

1 / (fgh⁶)⁸

or

(1 / (fgh⁶))⁸

but normally it should be the first result form above

1 / (f⁸g⁸h⁴⁸)

The answer will be:

B: 5 percent/ 5%

13 words in length will be 5%

Hope this helped

:)

A 95% confidence interval for the proportion who believe immigration is a good thing is; CI = (0.4173, 0.7173)

The formula for the confidence interval of proportions is;

CI = p ± z√(p(1 - p)/n)

where;

p is sample proportion

z is z-score at confidence level

n is sample size

We are given;

Number of success; x = 631

Sample size; n = 1095

Thus;

sample proportion; p = x/n = 631/1095 = 0.5763

The z-score at 95% confidence level is 1.96. Thus;

CI = 0.5673 ± 1.96√(0.5673(1 - 0.5673)/1095)

CI = 0.5673 ± 0.015

CI = (0.5673 - 0.15), (0.5673 + 0.15)

CI = (0.4173, 0.7173)

Read more about Confidence Interval of Proportions at; https://brainly.com/question/15712887

#SPJ1

Concurrent lines meet at the point of concurrency.

Answer: 42.86%

Step-by-step explanation: 120/280*100 = 42.86%

The standard score (z-score) of the given sample mean is equal to 7.11

A standard score is also referred to as a z-value or z-score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

Mathematically, the standard score of a given sample mean can be calculated by using this formula:

[tex]Z=\frac{\bar{x}\;-\;\mu}{ \frac{\delta}{n} }[/tex]

Where:

Where:

Substituting the given parameters into the formula, we have;

Standard score, z = (30 - 31)/(9/64)

Standard score, z = -1/0.140625

Standard score, z = 7.11

Read more on z-scores here: https://brainly.com/question/26714379

#SPJ1

Answer: 25.949%

Step-by-step explanation:

Answer:

s = 89°

Step-by-step explanation:

Exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite interior angles of the triangle.

[tex] \therefore[/tex]

[tex] \rm \implies (v + 1) \degree + (v - 28) \degree = (v + 32) \degree \\ \\ \rm \implies 2v - 27 \degree = (v + 32) \degree \\ \\ \rm \implies 2v -v = 32 \degree + 27 \degree \\ \\ \rm \implies v = 59 \degree [/tex]

Sum of angles in a straight line is equal to 180°

[tex] \therefore[/tex]

[tex]\rm \implies v + 32 \degree + s = 180 \degree \\ \\ \rm \implies 59 \degree + 32 \degree + s = 180 \degree \\ \\ \rm \implies s + 91 \degree = 180 \degree \\ \\ \rm \implies s = 180 \degree - 91 \degree \\ \\ \rm \implies s = 89 \degree[/tex]

The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

Given that,

The equation is 3x-8y=39.

We have to find the x- intercept and y- intercept of the equation.

We know that,

x/a + y/b = 1 is the intercept form of the line's equation. One of the key types of line equations is this one. In this equation, the sign of the intercepts also enables us to determine where the line is in relation to the coordinate axes.

To find the x- intercept of the equation.

We have to take y as 0.

3x-8(0)=39

3x=39

x=39/3

x=13

To find the y- intercept of the equation.

We have to take x as 0.

3(0)-8y=39

-8y=39

x=-39/8

Therefore, The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

To learn more about intercept visit: https://brainly.com/question/14180189

#SPJ1

Answer:

  78°

Step-by-step explanation:

You want the measure of base angle x in an isosceles triangle with a.pex angle 24°.

The two base angles of an isosceles triangle are congruent. The sum of all angles is 180°, so we have ...

  24° +2x = 180°

  12° +x = 90° . . . . . . divide by 2

  x = 78° . . . . . . . subtract 12°

The measure of angle x is 78°.

The length of the line segment with endpoints at (0, 3) and  (-6, -5) is 10 units

An equation shows the relationship between two or more numbers and variables.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The line segment have endpoints at (0, 3) and  (-6, -5). Hence:

Length = √[(-5-3)² + (-6 - 0)²] = √(8² + 6²) = √100 = 10

The length of the line segment is 10 units

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Division of the monomial denominator by writing the fraction as the sum or difference of fractions is    [tex]8x+8 - \frac{1}{x^{3}}[/tex].

What is a polynomial equation?

Polynomial long division is a generalized variant of the well-known arithmetic operation known as long division. It is an algorithm for dividing a polynomial by another polynomial of the same or lower degree.

We have,

                   [tex]\frac{8x^{4} + 8x^{2} - 1}{x^{3}}[/tex]

Break down the polynomial and divide:

                 [tex]= \frac{8x^{4} }{x^{3} } + \frac{8x^{2}}{x^{3}} + \frac{-1}{x^{3}}[/tex]

Calculating each division we get

                [tex]=8x+ 8x - \frac{1}{x^{3} }[/tex]

Therefore the final answer is

                 [tex]\frac{8x^{4} +8x^{3} −1}{x^{3}} = 8x+8 - \frac{1}{x^{3}}[/tex]

To learn more about dividing polynomials using long division visit,

https://brainly.com/question/27601809

#SPJ13

The probability that the part is between 10.8 and 12.8 cm is 0.0669.

What is a normal distribution?

Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is symmetric around the mean.

Here, we have

Mean = 16.3cm

Standard deviation = 2.5cm

We have to find the probability that the part is between 10.8 and 12.8 cm

Now,

we know that z = (x−μ)/σ

putting values in the normal distribution formula, we get

P( 10.8 < x < 12.8) = P( (10.8 - 16.3)/2.5 < z < (12.8 - 16.3)/2.5)

                            = P ( -2.2 < z < -1.4)

P( 10.8 < x < 12.8) = 0.0669, by normal distribution table

Hence, the probability that the part is between 10.8 and 12.8 cm is 0.0669.

To learn more about the normal distribution from the given link

https://brainly.com/question/4079902

#SPJ1

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The number of points scored by Tyger will be 132 points.

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

The instantaneous rate of change of monthly output with respect to the number of workers is equal to 184.

The instantaneous rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity at a particular instant.

In Mathematics, the instantaneous rate of change can be calculated by taking the derivate of the function with respect to an independent variable. This ultimately implies that, the instantaneous rate of change is equivalent to the change in the derivative value at a particular instant.

Taking the derivate of the given function, we have:

Q(x) = 15,000 + 2x²

Q'(x) = d/dx(15,000) + d/dx(2x²)

Q'(x) = 0 + 2x(2)

Q'(x) = 4x.

At x = 46, we have:

Q'(x) = 4(46)

Q'(x) = 184.

Read more on instantaneous rate of change here: https://brainly.com/question/15579867

#SPJ1

Complete Question:

The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 ≤ x ≤ 60), where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).

Q'(46) =

Answer:

Step-by-step explanation:

You subtract 583 from 400 (400-583)

Then you get 183

The critical values of the chi statistic are; χ²R = 8.643 and χ²L = 42.796

The confidence interval estimate of σ is; 0.20 < σ < 0.45

We are given the following data;

Sample size; n = 23

Degree of freedom; df = n - 1 = 23 - 1 = 22

Confidence level; α - level = 99%

Sample standard deviation; s = 0.25 mg

For χ²R;

The significance level is; 1 - (1 - 0.99)/2= 0.995

The degree of freedom is; df = 22

From critical value tables, we know that; χ²R = 8.643

For χ²L ;

The significance level is; (1 - 0.99)/2 = 0.005

The degree of freedom is; df = 22

From critical value tables, we know that; χ²L = 42.796

The confidence interval estimate of σ is;

s * √[(n-1)/χ²L] < σ < s * √[(n-1)/χ²R)]

Plugging in the relevant values gives;

0.28 * √(22/42.796) < σ < 0.28 * √(22/8.643)

0.2008 < σ < 0.4467

0.20 < σ < 0.45

Read more about critical values in chi square at; https://brainly.com/question/18402964

#SPJ1

The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

Given,

The quantity of apple bought by Jaxon = 10 2/3 pounds

The cost of one pound of apple = $1.80

We have to find the total amount Jaxon should paid for the apples, in dollars and cents;

Here,

Total amount Jaxon should paid = Quantity of apple bought by Jaxon × Cost of one pound of apple

Total amount Jaxon should paid = 10 2/3 × 1.80

Total amount Jaxon should paid = 12 dollars

1 dollar is equal to 100 cents

Then,

12 dollars = 12 x 100 = 1200 cents.

Therefore,

The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

Learn more about total amount here;

https://brainly.com/question/2958161

#SPJ1

The solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is -5ax⁶(2ax⁴ + 7x²). The solution of the expression will be done as,

E =  -5ax⁶(2ax⁴ + 7x²)

E = -10a²x¹⁰-35ax⁸.

Therefore, the solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

To know more about an expression follow

https://brainly.com/question/12065570

#SPJ1

There are 6 circles and 9 squares. What is the simplest ratio of circles to squares?

There are 6 circles and 9 squares.

Factors of 6: 1,2,3,6

Factors of 9: 1,3,9

Common factors: 1,3

GCF (greatest common factor): 3

6:9

Unsimplified ratio

÷3↓↓÷3

Reduce out GCF

2:3

Simplified ratio

Visual representation:

6

2

9

Answer:

Step-by-step explanation:

1. Nine squares to three circles. You can right it as a ratio by using a colon to seperate its ratio!

9 to 3= 9:3

2. If a ratio is not simplified, always simplify it like fractions.

9:3= 3:1

3. Answer: 3:1

Answer:

n > 8

Step-by-step explanation:

Let's call the unknown number n. Set up the inequality: (n-6)×4>n

Distribute on the left side, subtract the n from the right to the left, and continue solving.

The number of extra tables that you need to double the original seating capacity will be 7.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The seating capacity y for a banquet hall is represented by y = 8x + 56, where x is the number of extra tables you need.

If the no extra table is there. Then the value of 'y' will be

y = 8 (0) + 56

y = 56

Then the number of extra tables do you need to double the original seating capacity will be

8x + 56 = 2 × 56

8x = 56

x = 7

Then the number of extra tables that you need to double the original seating capacity will be 7.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

The partial fraction form of the given fraction [x+5/(x-7)(x-5)] is

[A/(x-7)+B/(x-5)].

So, the fraction is:

We know that:

Use the same identity to get the partial fraction of the given fraction as follows:

Therefore, the partial fraction form of the given fraction [x+5/(x-7)(x-5)] is [A/(x-7) + B/(x-5)].

Know more about partial fractions here:

https://brainly.com/question/24594390

#SPJ13

Answer:

BGIA

Step-by-step explanation:

B = 0,4

G =-4,3

I = 4,0

A = 0,1

Answer:

[tex]16x {}^{3} + 1[/tex]

Step-by-step explanation:

We need to differentiate the following function,

[tex]\longrightarrow f(x) = 4x^4 + x [/tex]

Let ,

[tex]\longrightarrow y = f(x) [/tex]

So that ,

[tex]\longrightarrow y = 4x^4+x [/tex]

Differentiating both sides wrt x ,

[tex]\longrightarrow \dfrac{dy}{dx}= \dfrac{d(4x^4+x)}{dx}\\[/tex]

[tex]\longrightarrow\dfrac{dy}{dx}= \dfrac{d(4x^4)}{dx}+\dfrac{dx}{dx}\\ [/tex]

[tex]\longrightarrow \dfrac{dy}{dx} = 4(4)x^{4-1} + 1 \\ [/tex]

[tex]\longrightarrow \underline{\underline{ \dfrac{dy}{dx}= 16x^3 +1}}[/tex]

Answer:

2/3 u need to walk to reach the clothing shop

A) The speed (in m/s) at which the ball hits the ground is; 23.43 m/s

B) The time (in s) that it takes the ball to remain in the air is; 3.67 s

C) The maximum height attained by the ball is; 16.51 m

A) The motion of the ball on the vertical axis is basically uniformly accelerated motion, with acceleration g = 9.81 m/s² and initial vertical velocity v_y = 18 m/s, so the vertical position of the ball at time t is:

y(t) = v_y*t - ¹/₂gt²

The formula for time when the ball hits the ground is;

t = 2v_y/g

t = (2 * 18)/9.81

t = 3.67 s

Thus, vertical velocity at time t is given by the formula;

v_y(t) = v_y - gt

v_y(t) = 18 - (9.81 * 3.67)

v_y(t) = -18 m/s (which shows it is in the opposite direction because of the negative sign)

Thus, the speed at which the ball hits the ground is the resultant of the vertical and horizontal velocity at time t;

v = √(v_x² + v_yt²)

v = √(15² + 18²)

v = 23.43 m/s

b) From a above, the time that the ball remains in the air is the time it takes to hit the ground which is t = 3.67 s

c) The time to reach maximum height is half the time it takes to reach the ground. Thus;

t = 3.67/2 = 1.835 s

Thus maximum height is given by the formula;

y(t) = v_y*t - ¹/₂gt²

y(1.835) = 18(1.835) - ¹/₂(9.81)(1.835²)

y = 16.51 m

Read more about Projectiles at; https://brainly.com/question/13368334

#SPJ1

Answer:

123 423 21 34

Step-by-step explanation:

Answer:

so now i think you can find the slope of the sides.the product of slopes of two perpendicular lines is - so now you can also find the slopes of the altitude. i will do one side for you and you do the remaining the slope of side BC is (2-0)/(9-0) = 2/9 so the slope of the altitude passing through A will be -9/2

Step-by-step explanation:

so i think it would be side AC

Answer:

Side BC

Step-by-step explanation:

Let's calculate the slopes of the sides of triangle ABC:

Slope of side AB = (2 - 0) / (9 - 16) = 2 / (-7) = -2/7

Slope of side BC = (0 - 2) / (2 - 9) = -2 / (-7) = 2/7

Slope of side CA = (0 - 0) / (2 - 16) = 0 / (-14) = 0

Among the three sides, only side BC has a slope of 2/7, which is the negative reciprocal of the given slope of -2/7.

Therefore, side BC represents the altitude of triangle ABC with a slope of -2/7.

Answer:

Step-by-step explanation:

Which graph represents the solution set of - 4x - y ≤ - 6?