The equationV=23300 (0.94)t V=23300(0.94)t represents the value (in dollars) of a car t years after its purchase.

Answer:

2nd one

as the y is both 4, the points are on the same plane. As such, we care about the distance of x which is between 3 and 7

Answer:$ 24,679.20 or 514.15 a month

Step-by-step explanation: 565(.09) is 50.85 which needs to be deducted from the payment of 565 because he needs to be able to pay for interest. 514.15 is then multiplied by 48 months which will bring you to 24,679.20

The area of R can be calculated using the definite integral of the function y = e^(2x-x^2) between x = 0 and x = 1.

The integral expression is ∫e^(2x-x^2)dx = ∫e^u du = e^u + C = e^(2x-x^2) + C. Evaluating the integral between x = 0 and x = 1 gives the area of R as e^2 - 1.

(b) The area of S can be calculated using the definite integral of the function y = e^(2x-x^2) between x = 0 and x = 1, minus the integral of the function y = 1 between x = 0 and x = 1. The integral expression for S is ∫e^(2x-x^2)dx - ∫1dx = ∫e^u du - x = e^u + C - x = e^(2x-x^2) + C - x. Evaluating the integral between x = 0 and x = 1 gives the area of S as e^2 - 1 - 1.

(c) The volume of the solid generated when R is rotated about the horizontal line y = 1 can be found using the integral expression ∫2πx(e^(2x-x^2) - 1)dx. This expression represents the area of the circular cross-sections of the solid multiplied by 2πx, which is the circumference of the circle. When evaluated between x = 0 and x = 1, this integral gives the volume of the solid generated when R is rotated about the horizontal line y = 1.

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Answer:

(x-x)/(y-y)

Step-by-step explanation:

Slope is defined by the change in y divided by the change in x, not the change in x divided by the change in y.

Answer:

22 feet

Explanation:

The area of a triangle can be calculated using the following equation:

Where b is the base and h is the height.

We know that the area is 330 square feet and the base is 30 ft, so we can replace these values to get:

Now, we can solve the equation for h. First, multiply both sides by 2:

Then, divide both sides by 30:

Therefore, the height of the triangle is 22 feet.

Answer:

75%

Step-by-step explanation:

There is 1 whisker and quartiles 1-3 so:

25%+25%+25%=75%

Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

The probability of selecting three red marbles when replacing each marble before selecting the next marble is about 24.3%, which is about 4.05 times more likely than when not replacing each marble before selecting the next marble at 6.0%.

The probability of selecting three red marbles when replacing each marble before selecting the next marble is 0.243. This is calculated by taking the number of red marbles (9) divided by the total number of marbles (20), then multiplying that number by itself three times. This probability is about 0.243 or 24.3%.When compared to the probability of selecting three red marbles when not replacing each marble before selecting the next marble, the probability is about 4.05 times greater. This is calculated by taking the number of combinations of three red marbles (84) divided by the total number of combinations of three marbles (20 x 19 x 18), then multiplying that number by itself three times. This probability is about 0.060 or 6.0%.

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9514 1404 393

Answer:

  20√2

Step-by-step explanation:

It is helpful to know your multiplication facts. For simplifying the radicals, you remove the perfect squares:

  \(\sqrt{a^2\cdot b}=a\sqrt{b}\)

__

  \(-3\sqrt{18}+5\sqrt{72}-\sqrt{2}=-3\sqrt{3^2\cdot2}+5\sqrt{6^2\cdot2}-\sqrt{2}\\\\=-3\cdot3\sqrt{2}+5\cdot6\sqrt{2}-\sqrt{2}=(-9+30-1)\sqrt{2}\\\\=\boxed{20\sqrt{2}}\)

When proving the properties of logarithms when exponents must be used, the property that is used in all of these is D. \(log_{b} (b^y) = y\)

When proving any property of logarithms that have to do with exponents, one property that should always be used is  \(log_{b} (b^y) = y\).

Expressing y as a product of \(log_{b} (b^y)\) is the most basic property of using exponents on logs because it has both product, quotient, and power rules of logarithms.

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The coordinates of the triangle after the translation are given as follows:

R'(0, 5), S'(7, 8), T'(0, -1).

The four translation rules are defined as follows:

The figure is translated 4 units right and 3 units up, hence the rule is given as follows:

(x, y) -> (x + 4, y + 3).

The original coordinates are given as follows:

R(-4,2), S(3,5) and T(-4,-4).

Hence the translated coordinates are given as follows:

R'(0, 5), S'(7, 8), T'(0, -1).

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Answer:

Step-by-step explanation:

The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

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Answer:

8 apples.

Step-by-step explanation:

Answer:

8 apples

Step-by-step explanation:

Have a nice day

Answer:

(x^2)/2

Step-by-step explanation:

If the diagonal is x, then the side length is sqrt(x^2/2)

That makes the area (x^2)/2

Answer:

c is wrong thats what i had picked

Step-by-step explanation:

The equation of the line that passes through points (5, 8) and
(-2.2, -6.4) is y = 2x - 2.

Option D is the correct answer.

We have,

We can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

Slope.

m = (y2 - y1) / (x2 - x1)

= (-6.4 - 8) / (-2.2 - 5)

= (-14.4) / (-7.2)

= 2

Next, we can use one of the two given points and the slope to write the equation of the line in the point-slope form:

y - 8 = 2(x - 5)

Expanding the right side and simplifying.

y - 8 = 2x - 10

y = 2x - 2

Therefore,

The equation of the line that passes through points (5, 8) and
(-2.2, -6.4) is y = 2x - 2.

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here hope this helps and can i get brainliest please

The interest with the given principal, time period and rate of interest is $3076.

Given that, principal=$50,000, time period =6 years and rate of interest =1%.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest is

Amount =Principal(1+r/100)^t

= 50000(1+1/100)^6

= 50000(1.01)^6

= 53076

So, interest =Amount-Principal

= $3076

Therefore, the interest with the given principal, time period and rate of interest is $3076.

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x -5}{2}~~~ ,~~~ \cfrac{ y +2}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(2~~,~~-5)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x -5}{2}=2\implies x-5=4\implies \boxed{x=9} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +2}{2}=-5\implies y+2=-10\implies \boxed{y=-12}\)

Answer:

once you have a common denominator, you simply add the numerators together and then simplify.

Step-by-step explanation:

The measure of a central angle of a decagon is 36 degrees.

the 1/2 central angle = 18 degrees

Apothem ≈ 16.93

Area of the decagon ≈ 931.15

The figure has ten sides hence a decagon

To find the measure of a central angle of a decagon, we need to use the formula:

Central angle = 360 degrees / number of sides

Substituting the value for a decagon, we get:

Central angle = 360 degrees / 10 sides

Central angle = 36 degrees

To find the 1/2 central angle, we simply divide the central angle by 2:

1/2 central angle = 36 degrees / 2

1/2 central angle = 18 degrees

To find the apothem, we use the formula:

Apothem = (Side length) / (2 x tan(180 / number of sides))

Substituting the given values, we get:

Apothem = (11) / (2 x tan(18 degrees))

Apothem ≈ 16.93

To find the area of the decagon, we first need to find the perimeter using the formula:

Perimeter = (Number of sides) x (Side length)

Perimeter = 10 x 11

Perimeter = 110

Now, we can use the formula for the area:

Area = (1/2) x Apothem x Perimeter

Area = (1/2) x 16.93 x 110

Area ≈ 931.15

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Answer:

3

Step-by-step explanation:

Answer:

y = -x + 2

Step-by-step explanation:

Find the slope with rise over run:

(y2 - y1) / (x2 - x1)

(0 - 4) / (2 + 2)

-4 / 4

= -1

Find the y intercept by plugging in the slope and a point:

y = mx + b

4 = -1(-2) + b

4 = 2 + b

2 = b

Plug in the slope and y intercept:

y = -x + 2

So, the correct answer is y = -x + 2

The average rate of change of the function over the interval is 4

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

y = 4x + 1

The interval is given as

[-1, 1)

The function is a linear function

This means that it has a constant average rate of change

From y = 4x + 1, we have

Rate = 4

Hence, the rate is 4

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The two column proof is completed below

Statement                                                      Reason

1. line KI parallel to line MN                      Given

2. ∠ JKL ≅ ∠ JMN and ∠ JLK ≅ ∠ JNM   Corresponding angles are equal

3. Δ JKL ~ Δ JMN                                      Similar triangles

4. (JM)/(JK) = (JN)/(JL)                               Ratios of corresponding sides are                            

                                                                  equal

5. JM = JK + KM and JN = JL + LN         Segment Addition Postulate

6. (JK + KM)/(JK) = (JL + LN)/(JL)             Substitution property

7. (JK)/(JK) + (KM)/(JK) = (JL)/(JL) + (LN)/(JL)     Addition of fractions

8. 1 + (KM)/(JK) = 1 + (LN)/(JL)                             Simplify

9. (KM)/(JK) = (LN)/(JL)                                       Simplify (the required proof)

Similar triangles are triangles that have the same shape but not necessarily the same size. In other words, their corresponding angles are equal, and their corresponding sides are proportional.

The equality of corresponding sides of similar triangles is used in the proof and it helped to state that: (JM)/(JK) = (JN)/(JL).

Further calculations were substitution and simplifying

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The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

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Answer:

4th graph

6th graph

3rd graph

Step-by-step explanation:

Linear = y = x + 3

it is 4th graph

when you substitute x = 0 y is 3

and when y = 0 x is -3

Quadratic = y = 3x^2

It is 6th graph

for both positive and negative values of x, y is rapidly increasing

Exponential = y = 3^x

it is 3rd graph

for x = 0 y value is 1 because 3^0 = 1

for positive values of x, y is exponentially rising

for negative values of x it is nearly almost touches zero