Which expression is equal to 6/7?

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

slope / m = 4/7

y intercept / c = 3

Substitute the values into the above formula

We have the equation as

\(y = \frac{4}{7} x + 3 \\ \)

Hope this helps you

Answer:

\(\boxed {\tt y=\frac{4}{7}x+3}\)

Step-by-step explanation:

Slope-intercept form is:

\(y=mx+b\)

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

We know the slope is 4/7 and the y-intercept is (0,3). In this form, we can say the y-intercept is just 3. Therefore,

\(m=\frac{4}{7}\\b= 3\)

Substitute the values into the form.

\(y=\frac{4}{7} x+3\)

The equation of the line is:

y=4/7x+3

Answer:

where is the list?????

Step-by-step explanation:

Answer:

I don't see a graph but i tried my best to answer

Step-by-step explanation:

I put the number down below and you can draw the graph <3

Slope: -1/3

Y- intercept (0,4)

X = 0, 3

Y = 4, 3

Hopefully this helps<3

Using compound interest, the amount in the account at the end of the day on her 11th birthday is $240,019.25.

To solve this problem, we can use the formula for compound interest:

A = \(P(1 + r/n)^{(nt)}\)

where A is the amount of money in the account at the end of the 11th year, P is the principal amount (initial deposit), r is the annual interest rate (9%), n is the number of times interest is compounded per year (once annually), and t is the number of years (11).

First, we need to calculate the total amount of money that Gilberto deposited into the account over the 11 years:

1500 + 1500 × 10 = $16,500

Next, we can plug the values into the formula and solve for A:

A = 1500\((1 + 0.09/1)^{(1 * 11)}\) + 1500\((1 + 0.09/1)^{(2 * 11)}\) + ... + 1500\((1 + 0.09/1)^{(11 * 11)}\)

A = 1500 × [\((1.09)^{11}\) + \((1.09)^{22}\) + ... + \((1.09)^{121}\)]

A = 1500 × [\((1.09^{11}\) - 1)/(1.09 - 1)]

A = 1500 × [(1.315 - 1)/(0.09)]

A = $240,019.25

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a) The exponential function that models the number of cells is: \(A(t) = 200(1.75)^{\frac{t}{3}}\)

b) There will be 1292 cells after 10 hours.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^{\frac{t}{n}}\)

In which:

For this problem, the parameters are:

A(0) = 200, r = 0.75, n = 3.

Hence the equation is:

\(A(t) = A(0)(1 + r)^{\frac{t}{n}}\)

\(A(t) = 200(1 + 0.75)^{\frac{t}{3}}\)

\(A(t) = 200(1.75)^{\frac{t}{3}}\)

The number of cells after 10 hours is:

\(A(t) = 200(1.75)^{\frac{t}{3}}\)

\(A(10) = 200(1.75)^{\frac{10}{3}}\)

A(10) = 1292.

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Answer:

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars

This means that \(\mu = 45, \sigma = 7\)

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{59 - 45}{7}\)

\(Z = 2\)

\(Z = 2\) has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Answer:

A

Step-by-step explanation:

The first term of the sequence is 4, the common difference is 3. So the equation of this sequence is 4+(n-1)*3 or 1+3*n. Plug in n=100

Answer:

3 weeks

Step-by-step explanation:

85 + 85 = 170

But thats not enough so he needs to work another week to get the other $9 to afford the airpods.

So .  85 + 85 + 85 = 255

Answer:

-0.1f + 0.4j - 13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

-3f + 0.4j - 12 - 1 + 2.9f

Step 2: Simplify

The calculated measure of the angle D is (c) 32 degrees

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

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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Answer:

it's 88

Step-by-step explanation:

a century = 100

so 100-12 =88

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Given pair of lines are x² + 4xy + y² = 0

⇒ (y/x) ² + 4 y/x + 1 = 0

⇒ y/x = -4±2√3/2 = -2±√3,

∴  The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle

Clearly the pair of lines x² + 4xy +y²  = 0  intersect at origin,

The perpendicular distance form origin to x - y = 4 is the height of the

h = 2 √ 2

∵ Area of triangle = h²/√3 = 8/√3

Answer: -2 1/3

Step-by-step explanation:

First, change the word into equation

9*x+3=6

Do division first, so 6/9, simplify into 2/3 then subtract it by 3 which is -2 1/3

Answer:

y=15

x=43

(any variable can be used, I used x and y to make it easier to show)

Step-by-step explanation:

x+y=58

x-y=28

get x by its self

x=58-y

then subsitute into the other equation

(58-y)-y=28

58-2y=28

-2y=-30

y=15

sub. again

x+15=58

x=43

Answer:

Hey, I hope this helps. Just remember, I'm a math genius, okay. There is some math subjects I don't understand, and there are some that I do. Anywho, Here is the answer:

You will have 4 bounces until it rests. The fourth bounce is less than 1 metre.

Height after 4th bounce=  \(4*0.6^{3}\)

                                       =0.864                                                    

                                         4*0.6

Step-by-step explanation:

Here is how to solve it:

1st bounce= \(a_{1}\)

                     4m

2nd bounce= \(a_{2}\)

                      4*0.6

                          =2.4m

3rd bounce= \(a_{3}\)

                     \(4*0.6^{2}\)

                      = 1.44m

4th bounce= \(a_{n}\)

                  \(4*0.6^{n-1}\)

I don't know if this is what you are looking for or if this is completely correct, but I hope this helps. I tryied my very best to help you.

If (x + 8) is a factor of f(x), then the true statement is f(-8) = 0 .

In the question ,

it is given that , x \(+\) 8 is factor of f(x) ,

we have to select the correct option about f(x) from the given options .

When solving the polynomials, a factor of the polynomial gives the solution of  the polynomial.

that means , x + 8 = 0

So , x = -8 ,

So , it means that when x = -8 , then the value of the function f(-8) will be zero ,

which means that x = -8 will be a root of the given function f(x) .

Therefore , the true statement is f(-8) = 0 .

The given question is incomplete , the complete question is

If (x + 8) is a factor of f(x), which of the following must be true ?

(a) Both x = –8 and x = 8 are roots of f(x).

(b) Neither x = –8 nor x = 8 is a root of f(x).

(c) f(–8) = 0

(d) f(8) = 0

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The correct radical form of b^1/5 is 5^√b.

Square root and nth roots are represented by the symbol "radical," which. a square root is a component of a radical expression, which is an expression.

A number's or an algebraic expression's simplest radical form is referred to as this. When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

When a number or algebraic expression contains no elements that are perfect nth powers under the radical, it is said to have an nth root and is said to be in its simplest radical form.

Explanation:

Convert to radical form using the formula

a^x/n=n^√a^x

5^√b.

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Answer:

1. 24 km/hour

2. 48 km

Step-by-step explanation:

1 mile = 1.6 km

cyclist = 15 miles/ hour

we want to multiply speed by something that will cancel miles out and leave km. to do this, we want to multiply it by something with miles on the bottom and km on the top.

this is because

miles * km / miles = km as the miles cancel out and km is left in the numerator

thus,

1 mile = 1.6 km

divide both sides by 1.6 km to get 1 on a side

1 mile / 1.6 km = 1

alternatively, divide both sides by 1 mile to get 1 on a side

1.6 km / 1 mile = 1

since we want miles on the bottom, we choose the second option

cyclist = 15 miles / hour = 15 miles/hour * 1 = 15 miles/hour * 1.6km / 1 mile = 24 km /hour

24 km/hr for 2 hours = 24 km/hr * 2 hours = 24 * 2 km = 48 km

Answer:

.6

Step-by-step explanation:

Based on the sequence, it seems like the previous three terms are being added to form the next term.

For example, the 4th term 8 is the result of adding the first three terms (2 + 2 + 4 = 8).

In addition, the 5th term 14 is the result of adding the previous three terms which are 2 + 4 + 8 = 14.

So, following this pattern, the 6th term is the sum of 4, 8, and 14 which is 26.

Lastly, the 7th term would be the sum of 8, 14, and 26 which is 48.

Hence, the missing numbers are 26 and 48 in the same order.

Answer:

look at the photo

Step-by-step explanation:

9514 1404 393

Answer:

  divide by x

Step-by-step explanation:

To answer your question, you can get from A to B by dividing by x:

  \(5x=3x\\\\\dfrac{5x}{x}=\dfrac{3x}{x}\qquad\text{only if $x\ne0$}\\\\5=3\)

However, this is only a valid operation if x ≠ 0. In this equation, x = 0, so that division is not valid.

__

A better approach to the solution is to put the equation in standard form:

  f(x) = 0

You can get there by subtracting 3x from both sides.

  5x -3x = 3x -3x

  2x = 0

Now, you can legitimately divide by 2 to find ...

  x = 0 . . . . . . . . the reason why dividing by x is not allowed

Answer:

x=2

Step-by-step explanation:

To find the axis of the simmetry of parabola ( the curve of the quadratic function) we have to find the x of the top point of the parabola.

The x= -12/-(2*3)= 2

So the axis of the symmetry is the line x=2

The the experimental probability of rolling the given result that a number more than 3 is D. 0.44

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The following observations can be gotten based on the information:

1 = 32

2 = 36

3 = 44

4 = 20

5 = 30

6 = 38

Therefore, probability = sum of observation (3,4 and 5) / total no of observation

= 20 + 30+ 38 / 200

= 88 / 200

= 0.44

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A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a number more than 3 a. 0.88 c. 0.56 b. 0.34 d. 0.44 Please select the best answer from the choices provided A B C D

Answer:

You move the -5 to the other side.

Answer:

you move the -5 to the other side equation