A car is traveling at a steady rate of speed. The points (1, 40) and
(3, y) appear on a graph of the car's distance over time. What is the value
of y?

Complete question :

The expression 12g gives the number of kilometers a car can travel using g liters of gasoline.How far can this car travel on 6 1/2 liters of gasoline

Answer:

78 km

Step-by-step explanation:

12g = Number of kilometers traveled using g litres of gasoline. - - - (1)

The expression shows that:

Kilometers per gallon = 12

Number of gallons used = miles per gallon * distance

Distance that can be traveled on a 6 1/2 lites of gas :

Here, g = 6 1/2

Substituting the value of g into the expression Given :

Distance = 12g

g = 6 1/2

Distance = 12(6 1/2)

Distance = 12(13/2) = 12(6.5)

Distance = 78 km

Answer:

functional relationship

Step-by-step explanation:

2 goldfish per month

how many in a year

12 months in a year

24 goldfish in one year

Answer: j(x) = 1/3(10)^x+1 -2

Step-by-step explanation:

Plato

The total area if each garden bed has a length of 4 feet is given as follows:

A = 48ft².

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The area for a bed of side length s is given as follows:

A = 3s².

Hence the total area if each garden bed has a length of 4 feet is given as follows:

A = 3 x 4² = 48 ft².

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

//www.pinterest.com/pin/269371621432109114/

Step-by-step explanation:hope this help hehe

Answer:

w^2 -18w + 81

Step-by-step explanation:

Simply, what we have to do here is to divide the coefficient of w by 2, then square it

we have this as -18/2 = -9

Squaring is -9^2 = 81

Option b. The oversight was discovered during the preparation of gators' 2021 financial statements. depreciation expense on this machine for 2021 should be $372,000.

The yearly straight-line devaluation cost for the machine would be $186,000 ($930,000/5). In any case, since no deterioration was perceived in 2020, the collected devaluation toward the start of 2021 would be $0 rather than $186,000. In this manner, the complete devaluation cost for 2021 would be the yearly deterioration of $186,000 in addition to the get up to speed devaluation for 2020 of $186,000, for a sum of $372,000. This make up for lost time devaluation is important to address the blunder made in the earlier year and guarantee that the resource is appropriately recorded on the asset report. Accordingly, the right response is $372,000.

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The complete question is:

On January 1, 2020, Oriole Corp. acquired a machine at a cost of $930000. It is to be depreciated on the straight-line method over a 5-year period with no residual value. Because of a bookkeeping error, no depreciation was recognized in Oriole's 2020 financial statements. The oversight was discovered during the preparation of Oriole's 2021 financial statements. Depreciation expense on this machine for 2021 should be

$232500.

$372000.

$186000.

$0.

Answer:

$535.25

Step-by-step explanation:

The computation of the balance of Raúl's checking account after the transaction on April 13 is shown below:

= $539.50 - $35.50 - $23.75 + $55

= $535.25

We simply deduct the spend amount and add the earn amount to determine the balance

Answer:

535.25

Step-by-step explanation:

The x-value at which f(x) is not continuous is x = 2 and the discontinuity is removable. Answer: X=2.

The given functions are f1(x) = -9x and f2(x)

= x² - 4x + 3.

We need to find the x-value at which f(x) is not continuous.

Consider the following steps:

Step 1: For f(x) to be continuous at some value of x = a, then f(a) should exist.

If f(a) does not exist, then f(x) is not continuous at x = a.

Hence, first, we find the value of f(x) at x = 2.

Step 2: f(2) = f1(2) + f2(2)

= -9(2) + 2² - 4(2) + 3

= -18 + 4 - 8 + 3 = -19.

Hence, f(x) is not continuous at x = 2 as f(2) does not exist.

This is a removable discontinuity since we can redefine the function value at x = 2 to make it continuous.

That is, we can redefine the function f(x) at x = 2 as follows: f(x) = -9x, x < 2f(x)

= -19, x

= 2f(x)

= x² - 4x + 3, x > 2

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Responsible financial plan will take into consideration both short term and long term goals.

Given,

A financial plan is to be made.

A financial plan protects you from life's surprises. A Personal financial plan reduces doubt or uncertainty about your decisions and make adjustments to help overcome obstacles that could alter your lifestyle.

Now,

To make a better financial plan one should consider his/her short term as well long term goals.

Short term goals:

Short term goals include the goals that are needed to be achieved in the time frame 2-4 years.

For example,

One has to buy a car in the coming 3 years than this type of goals are considered short term and financial plan is to be made according to the price of car that is to be paid after 3 years while buying a car.

Long term goals:

Long term goals include the goals that are needed to be achieved in the time frame 10-12 years.

For example,

Retirement can be considered as long term plan for which one has to save a big amount of corpus so that after retirement his/her expenses will be well taken care off.

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The equation of the line in point slope form is (c) y - 6 = -2(x + 2)

The graph represents the given parameter

On the graph, we have the following points

(x, y) = (2, -2) and (-2, 6)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (2, -2) and (-2, 6)

Substitute the known values in the above equation

So, we have the following equation

m = (6 + 2)/(-2 - 2)

Evaluate

m = -2

The equation of a line can be represented as

y  - Y = m(x - X)

Where

Slope = m = -2

(X, Y) = (-2, 6)

So, we have

y - 6 = -2(x + 2)

Hence, the line has an equation of y - 6 = -2(x + 2)

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Answer:

-104 is the answer .....

The we need to find a function f(x) that satisfies the above conditions and whose integral is easy to evaluate.

The answer is (B) diverges.

The answer is (A) converges.

Let's use the integral test to determine the convergence of the following series:

Find the integrand and integrate it.

The integral test states that if f(x) is a positive, continuous, and decreasing function on [1, infinity) such that the series ∑n=1 to infinity of f(n) converges, then the series ∑n=1 to infinity of a(n) also converges, where a(n) = f(n) for all n.

Integrating f(x) from c-1 to infinity, we get:

Integrating f(x) from 1 to infinity, we get:

Compare the sum to the integral.

Since f(x) is positive and decreasing, we can use the integral test to compare the series to the integral.

If the integral converges, then the series converges as well.

If the integral diverges, then the series diverges as well.

The integral ln(11) - ln(c+9) diverges as c approaches infinity, so the series diverges as well.

Since f(x) is positive and decreasing, we can use the integral test to compare the series to the integral.

If the integral converges, then the series converges as well.

If the integral diverges, then the series diverges as well.

The integral ln(10) - ln(1+1/10) converges.

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Answer:

b,c,e

Step-by-step explanation:

Answer: I need help too to that

Step-by-step explanation:

Answer: 1,152

Step-by-step explanation:

Angle A is 19 degrees.

Angle C is 90 degrees.

Side a is approximately 7.83.

Side c is approximately 34.50.

To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.

Finding Angle A:

Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:

A = 90 - B

Substituting the given value, we have:

A = 90 - 71

A = 19 degrees

Therefore, Angle A is 19 degrees.

Finding Angle C:

Since it is a right triangle, Angle C is always 90 degrees.

Therefore, Angle C is 90 degrees.

Finding Side a:

We can use the sine ratio to find the length of side a:

sin(A) = a / b

Rearranging the equation to solve for a, we have:

a = b * sin(A)

Substituting the given values, we have:

a = 24 * sin(19)

a ≈ 7.83

Therefore, the length of side a is approximately 7.83.

Finding Side c:

Using the Pythagorean theorem, we can find the length of side c:

c^2 = a^2 + b^2

Substituting the given values, we have:

c^2 = 7.83^2 + 24^2

c^2 ≈ 613.68 + 576

c^2 ≈ 1189.68

Taking the square root of both sides to solve for c, we have:

c ≈ √1189.68

c ≈ 34.50

Therefore, the length of side c is approximately 34.50.

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Answer:

A scale factor is a number which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Step-by-step explanation:

is this good?

Answer: In two similar geometric figures, the ratio of their corresponding sides is called the scale factor. To find the scale factor, locate two corresponding sides, one on each figure.

Step-by-step explanation:

The way that X and Y vary can be used to determine if a table is linear. A table is linear if, when X rises by 1, Y increases at a steady pace. By locating the initial difference, you may get the constant rate.

X  Y

1  2

2  4

3  6

4  8

It's linear in this table. There is a difference of two between Y1 and Y2, Y2 and Y3, and Y3 and Y4. As a result, Y's constant rate is 2.

X  Y

1  6

2  9

3  1

4  40

NOT a linear table, this one. Y does not rise at a consistent pace when X increases by 1, as evidenced by the differences of 3, 8, and 39 between Y1 and Y2, Y2 and Y3, and Y3 and Y4. This shows that there is no linear link between the two.

What is table of linear function ?

Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.

So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.

For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.

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Anthony has 25 large jars and 55 small jars.

This problem can be solved using linear equations.

Let x be the number of large jars and y be the number of small jars.

We know that

x + y = 80   ---- (i)

2.60x + 1.80y = 164.  ---(ii)

multiplying 2.6 to equation (i) we get

2.6x+ 2.6y = 208  ---(i)

2.6x + 1. 8y =164 ---(ii)

subtraction (ii) from (i) we get

0.8y = 44

=> y =55

so x = 88-55

so x = 25

Solving these equations using substitution or elimination method, we find that x = 25 and y = 55. This means that Anthony has 25 large jars selling for $2.60 each and 55 small jars selling for $1.80 each, for a total of 80 jars worth $164.

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Answer:

i think it is 15.9 but that is only if the two triangles are congruent

Step-by-step explanation:

The solution to the system of equations y = 1.5x - 4 and y = -x is (1.6, -1.6). To find the solution to the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

By comparing the two equations, we can equate the expressions for y:

1.5x - 4 = -x

Adding x to both sides, we get:

2.5x - 4 = 0

Adding 4 to both sides, we have:

2.5x = 4

Dividing both sides by 2.5, we find:

x = 4/2.5 = 1.6

Now that we have the value of x, we can substitute it back into either of the original equations to find y. Let's substitute it into y = 1.5x - 4:

y = 1.5(1.6) - 4 = 2.4 - 4 = -1.6

Therefore, the solution to the system of equations is (1.6, -1.6).

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The slope of as per the given points will be equal to 3/2. Hence, option B is correct.

It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.

As per the information given in the table,

The points are (-14, -18) and (-10, -12)

Use the equation given below to find the slope,

m = (y₂ - y₁)/(x₂ - x₁)

Substitute values in above equation,

m = (-12 - (-18))/(-10 - (-14))

m = (-12 + 18)/(-10 + 14)

m = 6/4

m = 3/2

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46 inches big piece of cardboard is needed.

A square box is a three-dimensional object with the shape of a cube.

As per the question,

We know that,

                         V   =   h × w × l         →      1

where,              V  =   volume of the box

                         h  =   height of the box

                        w  =  width of the box

                          l  =   length of the box

Substitute the values V = 6480, h = 5, w = x - 10 and l = x - 10 in 1,

⇒   5 × ( x - 10 ) × ( x - 10 )   =   6480

⇒   5 × ( x² - 10x - 10x + 100 )   =   6480

⇒   5 × ( x² - 20x + 100 )   =   6480

⇒   5x² - 100x + 500   =   6480

⇒   5x² - 100x   =   6480 - 500

⇒   5x² - 100x   =   5980

⇒   5x² - 100x - 5980   =   0

⇒   5 ( x² - 50x - 1196 )   =    0

⇒   x² - 50x - 1196   =    0

By solving the equation x² - 50x - 1196   =    0 we get,

x   =   46   and   -26

⇒  We eliminate x = -26 since it is a negative value

⇒  We consider the positive value x = 46.

Therefore, 46 × 46 inches is the dimensions of the square card box.

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Answer:

Andre has more money.

Answer:

375in^2

Step-by-step explanation:

area of a trapezoid is base + base divded by 2 then times that by the height

20 + 30 = 50

50/2 + 25

25 x 15 = 375

Answer:

Hey no need to fret I will help you so. 3+5 x 5 - 50 / 2 + 3 - 4 =

                                                                   3+ 25 - 50 / 2 + 3 - 4

                                                                    3+25-25+3-4

                                                                    28-28-4

                                                                        0-4+ -4

Step-by-step explanation:

Order of operations P E M D A S ( parenthesis exponents multiplication division addition subtraction)   -4 is your answer Hope I helped have a great day!

Answer:

2916 ft^3

Step-by-step explanation:

In this case, the diameter if 18 ft, making the radius 9 feet. Now, we plug in the values into the formula and simplify.

Therefore, the volume is 2916 ft^3.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

2916

Step-by-step explanation:

4/3x3x9^3=2916