Read instructions and do this on a separate piece of paper and draw all lines with a ruler or any straightedge. I will mark you brainliest.

The value of this car is decreasing at a rate of 6% per year.

The function V(t) = 38000 (0.94)^t represents the value (in dollars) of a car "t" years after its purchase

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,

V(t) = 38000 (0.94)^t
Cleary, above function is an exponential function
while putting certain values in equation we have certain outcomes.
for,
V(1) = 35720;    V(2) =33576.8;      V(3) = 31562.192

Now, the rate of change is given by = [V(2)-V(1)/ V(1)] x 100
= [(33576.8-35720)/35720]*100
= 6%

now V(2) x 6% = V(3)
33576.8 x 6% = 31562.192 = V(3)

Thus, The required rate of decreasing care price is 6%.

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The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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Answer:

4 and 2

Step-by-step explanation:

the LCD is the least common denominator and the denominator is the bottom number of the fraction.

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

Therefore, the correct response From these integral is option D   is.  

``` 10 + ∫₅¹  R(t) dt

An integral is a mathematical construct in mathematics that can be used to represent an area or a generalization of an area. It computes volumes, areas, and their generalizations. Computing an integral is the process of integration.

Integration can be used, for instance, to determine the area under a curve connecting two points on a graph. The integral of the rate function R(t) with respect to time t can be used to describe how much water is present in a tank.

The following equation can be used to determine how much water is in the tank at time t = 5 if there are 10 gallons of water in the tank at time t = 1.

``` 10 + ∫₅¹  R(t) dt

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Pour développer il faut appliquer la distributivité de la multiplication :

7m + 5.5(2+m) = 7m + 5.5 x 2 + 5.5m

= 7m + 11 + 5.5m

Il faut combiner les termes contenant m :

= 7m + 5.5m + 11

= (7 + 5.5)m + 11

= 12.5m + 11

Answer:

an=105-25n is the answer

The filling in the boxes an is equal to 105-25n.

We have given that,

Write an equation that can be used to find the nth term of the sequence, an.

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.

The sequence is 80, 105, 130, 155, 180.

We have to determine an term.

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The equivalent of (12)⁻³=1/(12)³

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given,

⇒(12)⁻³

⇒1/(12)³

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Answer:

A, C, and F

Step-by-step explanation:

The solution is, A and D are the correct statements.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

to know which are the following statements are true:

We know that when f(x) is divided by (x - h) then f(h) is the remainder.

In option  A f(-7) is the remainder which gives the value 8.

So, option A is correct.

Here the value x = 7 does not satisfy the function.

When we put x = 7 in the function it is coming 99

So, option B and C are wrong.

On putting x = -7 in the function we are getting 8

So options D is correct

Again, the value of f(7) is 99.

So, (x - 7) when divides the given function, 8 is not the remainder.

So, option E is wrong.

Hence, The solution is, A and D are the correct statements.

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Using the mean value theorem in  f(x) = 1/2x² + 7, c =  2√3

The mean value theorem states that let f be continuous over the closed interval  [a,b] and differentiable over the open interval  (a,b). Then, there exists at least one point c ∈(a,b) such that f'(c) = [f(b) - f(a)]/(b - a)

To find c using the mean value theoren for f(x) = 1/2x² + 7 over the interval [0, 6], we proceed as follows.

Uisng the mean value theorem, we know that

f'(c) = [f(b) - f(a)]/(b - a)

⇒ f(c) = 1/(b - a)∫ₐᵇ[f(x)

Now over the interval [a, b] = [0,6]

f(c) = 1/(6 - 0)∫₀⁶[f(x)

Now, since f(x) = 1/2x² + 7

Substituting this into the equation, we have that

f(c) = 1/(6 - 0)∫₀⁶[f(x)

f(c) = 1/(6 - 0)∫₀⁶(1/2x² + 7)

f(c) = 1/6∫₀⁶(1/2x² + ∫₀⁶7)

f(c) = 1/6[1/2x³/3 + 7x]₀⁶

f(c) = 1/6[x³/6 + 7x]₀⁶

f(c) = 1/6[6³/6 + 7(6)] - [0³/6 + 7(0)]

f(c) = 1/6[6²+ 42] - [0 + 7(0)]

f(c) = 1/6([36 + 42] - [0 + 0])

f(c) = 1/6(78 - 0)

f(c) = 1/6(78)

f(c) = 13

Now, since f(x) = 1/2x² + 7

f(c) = 1/2c² + 7

1/2c² + 7 = 13

1/2c² = 13 - 7

1/2c² = 6

c² = 2 × 6

c² = 12

c = √12

c = 2√3

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The freezing point of water is 0°C or 32°F while the boiling point of  water is 100°C or 212°F.

Temperature is the measure of the degree of hotness or coldness of a substance or place. It is usually expressed Fahrenheit and Celsius scale. Temperature indicates the direction of heat flow.

The freezing point of water is 0°C or 32°F while the boiling point of  water is 100°C or 212°F.

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Answer:

80 pgs per hour

Step-by-step explanation:

480 divided by 6 = 80

Answer:

Kendriya z-score keva product

We know that 9/20 dogs are spaniels, so 11/20 of the dogs will not be spaniels. That would be your probability in fraction form, but if you need percentage, remember that you can find percentage of something by multiplying the fraction by 100 and evaluating, so \((\frac{11}{20} )*100= 0.55*100= 55\). So, the percentage of dogs that are not spaniels would be 55%.

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Solving part A)

In the figure, we have a tangent line and a secant line. A tangent line is a line that touches the circle only at one point, and a secant line touches the circle at two points.

To find a relationship between the lengths of the segments, we use the secant - tangent rule shown in the following diagram:

In our circle

R is A

S is B

T is C

and

U is D,

Therefore, we can find the relationship using the secant tangent formula:

That equation describes the relationship between the lengths of the secant and the tangent.

Solving part B)

For this part, we are given the following values for RT and ST:

And asked if it is possible to find the length of TU.

The answer is yes, it is possible to find TU by using the equation given in part A.

Substituting the values of RT and ST into the equation:

Solving the operations to find TU:

The length of TU is 6 inches.

Answer:

A)

B)

Answer:

2d⁻³/9d⁻⁹

Step-by-step explanation:

4 times d raised to the negative third power = (4 × d)⁻³ = 4d⁻³

18 times d raised to the ninth power = (18 × d)⁻⁹ = 18d⁻⁹

the equation as a quotient:

Expression = 4d⁻³/18d⁻⁹

Expression = 2d⁻³/9d⁻⁹

Answer:

D

Step-by-step explanation:

BH is perpendicular to AC since an orthocenter is a point at which the three altitudes of a triangle intersect. The altitude of a triangle is that line that passes through its vertex and is perpendicular to the opposite side. Since you know that BH is an altitude due to Point H being an orthocenter, you know that BH is perpedendicular to AC.

The height of the parallelogram is 8 inches. By using the formula for the area of a parallelogram, we were able to find the missing value (height) by rearranging the formula and plugging in the given values.

To find the height of the parallelogram, we can use the formula for the area of a parallelogram, which is Area = Base × Height (A = b × h). In this problem, the area (A) is given as 40 square inches, and the base (b) is 5 inches. We need to find the height (h).

Using the formula, A = b × h, we can plug in the given values:

40 = 5 × h

To solve for h, we can divide both sides of the equation by 5:

40 ÷ 5 = 5 × h ÷ 5

8 = h
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Answer:

It’s 2.07 pounds/in 3

Step-by-step explanation:

1 kilogram = 2.2 × pounds, so,2.07 × 1 kilogram = 2.07 × 2.2 pounds (rounded), or2.07 kilograms = 4.554 pounds.Step 2: Convert the decimal part in pounds to ouncesAn answer like "4.554 pounds" might not mean much to you because you may want to express the decimal part, which is in pounds, in ounces which is a smaller unit.So, take everything after the decimal point (0.55), then multiply that by 16 to turn it into ounces. This works because one pound equals 16 ounces. Thus,4.55 pounds = 4 + 0.55 pounds = 4 pounds + 0.55 × 16 ounces = 4 pounds + 8.8 ounces. So, 4.55 pounds = 4 pounds and 8 ounces (when rounded). Obviously, this is equivalent to 2.07 kilograms. Step 3: Convert from decimal ounces to a usable fraction of ounceThe previous step gave you the answer in decimal ounces (8.8), but how to express it as a fraction? See below a procedure, which can also be made using a calculator, to convert the decimal ounces to the nearest usable fraction: a) Subtract 8, the number of whole ounces, from 8.8:8.8 - 8 = 0.8. This is the fractional part of the value in ounces.b) Multiply 0.8 times 16 (it could be 2, 4, 8, 16, 32, 64, ... depending on the exactness you want) to get the number of 16th's ounces:0.8 × 16 = 12.8.c) Take the integer part int(12.8) = 13. This is the number of 16th's of a pound and also the numerator of the fraction.Finalmente, 2.07 quilogramas = 4 pounds 8 3/4 ounces.A fração 12/16 não está simplificada, e ainda pode ser reduzida para 3/4 para que possamos expressar como a fração mais simples possível.In short:2.07 kg = 4 pounds 8 3/4 ounces

The average velocity of the pebble for the time period beginning when t = 2 and lasting Δt seconds is -80 feet per second.

To find the average velocity of the pebble over the given time period, we need to find its displacement during that time period and divide it by the duration of the time period.

At t = 2 seconds, the height of the pebble above the water surface is given by:

y = 285 - 16(2)^2 = 221 feet

Let's find the height of the pebble above the water surface at the end of the time period. The time period lasts for Δt seconds, so:

y = 285 - 16(t + Δt)^2

At the end of the time period, t + Δt = 2 + Δt seconds, so:

y = 285 - 16(2 + Δt)^2

The displacement of the pebble during the time period is the difference between its heights at the beginning and the end of the time period:

Δy = 221 - [285 - 16(2 + Δt)^2]

Δy = 64 - 16(2 + Δt)^2

The duration of the time period is Δt seconds.

Therefore, the average velocity of the pebble during the time period is:

average velocity = Δy / Δt

average velocity = [64 - 16(2 + Δt)^2] / Δt

We can simplify this expression by expanding the square and canceling out some terms:

average velocity = [64 - 64 - 64Δt - 16Δt^2] / Δt

average velocity = (-80Δt) / Δt

The Δt cancels out, leaving us with:

average velocity = -80

Therefore, the average velocity of the pebble for the time period beginning when t = 2 and lasting Δt seconds is -80 feet per second.

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Answer:

-798>n

Step-by-step explanation:

Answer: hii :)

Step-by-step explanation:

The probability of a red marble being drawn in both turns = 9/16, and the probability of a white marble being drawn in both turns = 1/16. So, the total probability = (9/16) + (1/16) = 10/16 = 5/8.

Hopefully this helps you

- Matthew

Answer:

\(\sf \dfrac58\)

Step-by-step explanation:

Given:

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

\(\implies \sf \textsf{P(red marble)}=\dfrac{3}{4}\)

\(\implies \sf \textsf{P(blue marble)}=\dfrac{1}{4}\)

As the marbles are replaced:

\(\implies \sf \textsf{P(red marble) and P(red marble)}=\dfrac{3}{4} \times \dfrac{3}{4}=\dfrac{9}{16}\)

\(\implies \sf \textsf{P(blue marble) and P(blue marble)}=\dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{16}\)

Therefore:

\(\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58\)

Answer:

The area of the rectangle is increasing at a rate of 54 cm2/s.

Step-by-step explanation:

Answer:

12:5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The set of all possible output values of a function. (Or in other words the set of values that the output values lie in.)

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

the answer to that equation would be 27.50

Answer:

(-3, 3)

Step-by-step explanation: