What is the relationship between the two quantities?
The age of a car and the value of the car.
a. Positive Correlation
b. Negative Correlation
c. No Correlation ...?

Answer: 2x = 54

I got this question correct on my lesson.

To find Charles' rate, we can set up an equation using the formula Distance = Rate x Time. The correct equation to solve for Charles' rate x is 2x = 36.

To solve this problem, we can use the equation Distance = Rate x Time. Let's assume that Charles' rate is represented by x. When Charles overtakes Bill, they have traveled the same distance. Bill has been riding for 4 hours at a rate of 9 mph, so his distance is 9 x 4 = 36 miles. Charles overtakes Bill in 2 hours, so his distance is x x 2. Setting the two distances equal to each other, we have 36 = 2x, which simplifies to 2x = 36. Therefore, the correct equation to solve for Charles' rate x is option A, 2x = 36.

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Answer:

The value of x is 24. The measures of angles 1,2,3,4,5,6,7,8 are 101, 79, 101, 101, 79, 79, 89, 89 respectively.

Step-by-step explanation:

If two line intersect each other, then vertical opposite angles are same.

[tex]3x+19=5x-29[/tex]                    (Vertical opposite angles)

[tex]19+29=5x-3x[/tex]

[tex]48=2x[/tex]

Divide both sides by 2.

[tex]24=x[/tex]

The value of x is 24.

Measure of angle 2 is

[tex]\angle 2 =3x+7=3(24)+7=79[/tex]                (Vertical opposite angles)

The measure of angle 2 is 79°.

Measure of angle 1 is

[tex]\angle 1 =180-\angle 2=180-79=101[/tex]           (Angle 1 and 2 are supplementary angles)

The measure of angle 1 is 101°.

Measure of angle 3 is

[tex]\angle 3 =180-\angle 2=180-79=101[/tex]           (Angle 3 and 2 are supplementary angles)

The measure of angle 3 is 101°.

Measure of angle 4 is

[tex]\angle 4 =4x+5=4(24)+5=101[/tex]                (Vertical opposite angles)

The measure of angle 4 is 101°.

Measure of angle 5 is

[tex]\angle 5 =\angle 2=79[/tex]                (Alternate Interior Angles)

The measure of angle 5 is 79°.

Measure of angle 6 is

[tex]\angle 5 =\angle 6=79[/tex]                 (Vertical opposite angles)

The measure of angle 6 is 79°.

Measure of angle 7 is

[tex]\angle 7 =180-(5x-29)=180-(5(24)-29)=89[/tex]                 (Supplementary angles)

The measure of angle 7 is 89°.

Measure of angle 8 is

[tex]\angle 8 =\angle 7=89[/tex]                 (Vertical opposite angles)

The measure of angle 8 is 89°.

Answer

Formula

[tex]Circumference\ of\ circle = 2\pi r[/tex]

where r is the radius of a circle.

As shown in the image

Diameter of the circle = 16 .3 cm

[tex]Radius\ of\ the\ circle = \frac{16.3}{2}[/tex]

                                   = 8.15 cm

Put in the formula

[tex]Circumference\ of\ circle = 2\pi\times 8.15[/tex]

As

[tex]\pi = 3.14[/tex]

[tex]Circumference\ of\ circle = 2\times 3.14\times 8.15[/tex]

                                                 = 51.2 cm (approx)

Therefore the circumference of a circle is 51.2cm (approx) .

Option (D) is correct .

The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}.[/tex] Option (D) is correct.

Further explanation:

The formula for the circumference of the circle can be expressed as follows,

[tex]\boxed{{\text{Circumference of circle}} = 2\pi r}[/tex]

The formula for the area of the circle can be expressed as follows,

[tex]\boxed{{\text{Area of circle}} = \pi {r^2}}[/tex]

Here, “r” represents the radius of the circle.

The relationship between the radius and the diameter can be given by,

[tex]\boxed{r =\dfrac{d}{2}}[/tex]

Here, “d” represents the diameter of the circle.

Given:

The options are as follows.

A.[tex]102.4{\text{ cm}}[/tex]

B.[tex]63.4{\text{ cm}}[/tex]

C.[tex]25.6{\text{ cm}}[/tex]

D.[tex]51.2{\text{ cm}}[/tex]

Explanation:

The diameter of the circle is [tex]16.3{\text{ cm}}.[/tex]

The radius of the circle can be obtained as follows,

[tex]\begin{aligned}{\text{Radius}}&= \frac{{16.3}}{2}\\&= 8.15\\\end{aligned}[/tex]

The radius of the circle is [tex]8.15{\text{ cm}}.[/tex]

The circumference of the circle can be obtained as follows,

[tex]\begin{aligned}{\text{Circumference of circle}}&= 2\times\frac{{22}}{7}\times 8.15\\&=\frac{{44}}{7}\times 8.15\\&= 51.2\\\end{aligned}[/tex]

The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}[/tex].Option (D) is correct.

Option (A) is not correct as the circumference of the circleis  .

Option (B) is not correct as the circumference of the circle is  .

Option (C) is not correct as the circumference of the circle is  .

Option (D) is correct as the circumference of the circle is  .

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Circle

Keywords: Circle, circumference, radius, diameter, area of the circle, angle, sector, arc, approximate.

Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].

Here,

We have to find factor of [tex]3x^{3} + 12x^{2} + 18x[/tex].

What is Factor?

A number or algebraic expression that divides another number or expression evenly with no remainder.

Now,

Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is,

⇒[tex]3x^{3} + 12x^{2} + 18x = 3x (x^{2} + 4x + 6x)[/tex]

Hence,

Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].

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Answer:

The value of a+b is 1.

Step-by-step explanation:

The given equation is

[tex]x^2-1x-90=0[/tex]

It is given that this equation has two solutions {a,b}.

First of all find the factors of given equation. The middle term can be written as -10x+9x.

[tex]x^2-10x+9x-90=0[/tex]

[tex](x^2-10x)+(9x-90)=0[/tex]

Taking out common from each parenthesis.

[tex]x(x-10)+9(x-10)=0[/tex]

[tex](x-10)(x+9)=0[/tex]

Using zero product property, we get

[tex]x-10=0\Rightarrow x=10[/tex]

[tex]x+9=0\Rightarrow x=-9[/tex]

The value of a is 10 and b is -9. The sum of both the solutions is

[tex]a+b=10-9=1[/tex]

Therefore the value of a+b is 1.

Answer:

Using formula:

[tex]\text{Time} = \frac{\text{Distance}}{\text{Speed}}[/tex]

As per the statement:

Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55 miles per hour.

⇒Speed = 55 miles/hour and Distance = 440 miles.

We have to find how many hours will it take him to get 3/4 of the way there.

Distance to get 3/4 of the way there= [tex]\frac{3}{4} \cdot 440 = 3 \cdot 110 = 330[/tex] miles.

Substitute the given values we have;

[tex]\text{Time} = \frac{330}{55}[/tex]

Simplify:

Time = 6 hours.

Therefore, 6 hours will it take him to get 3/4 of the way there

Answer:

d and a

Step-by-step explanation:

circumference of a circle= pi multiplied by the diameter

= 20ft x pi

=20 pi feet so the answer is b

Hi i know this is late like by 2 years but for future people the answer is

[tex]\frac{\sqrt{30} }{\sqrt{5} }[/tex]

hope this helps other ppl

Answer:

The answer is 63.

Step-by-step explanation:

50-12=38       38/.6 is equal to 63.333 you can't buy .333 of a bracelet so she will be able to buy 63 and have little money left.

The greatest number of bracelets she could buy will be 63.

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given data;

The total amount of money in my wallet =  $50.00

Cost of shirt = $12.00

Price of bracelet per piece = $0.60

Let x is the no of the bracelet;

The equation obtained as;

⇒The total amount of money in my wallet = Cost of the shirt + Price of the bracelet per piece × No of the bracelet

⇒50 = 12 + 0.60 x

⇒0.60 x = 50-12

⇒x = 38/0.60

⇒x= 63.333 ≈ 63 bracelet

Hence the greatest number of bracelets she could buy will be 63.

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Answer:

18 times 6= t

Step-by-step explanation:

Answer:

Graph 2 :)

Step-by-step explanation:

Final answer:

The student is performing a probability calculation involving rolling two dice and must enumerate all possible outcomes. The probability of a specific sum is determined by dividing the number of ways to achieve that sum by the total number of possible outcomes, 36 in the case of rolling two dice.

Explanation:

The student's experiment consists of rolling two fair dice and adding the numbers that appear on the faces that land upwards. Each die in this scenario has the numbers 1, 2, and 3 on two opposite faces. When calculating the probability of specific sums resulting from this experiment, we need to consider all the possible outcomes (the sample space) and the number of ways to achieve the sum in question.

To find the probability of any particular sum, one must enumerate each distinct way that sum can occur. There are a total of 36 possible outcomes when rolling two dice (6 outcomes per die × 2 dice). For example, to calculate the probability of getting a sum of 4, we need to consider the possible dice combinations (1+3, 2+2, 3+1) that would result in that sum.

As for the probability of an event, it is the number of favorable outcomes over the total number of possible outcomes. If the event is 'rolling a sum of 4', and there are three combinations out of 36 total that yield that sum, the probability would be 3/36 or 1/12. Remember that we must count each die distinctly; although the numbers are the same (1, 2, 3), a roll of 1 on the first die and 3 on the second die is a different outcome from a roll of 3 on the first die and 1 on the second die.