Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?

Answer:

0.877 but rounded it will be 0.88

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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Answer:

x=-6

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

2(1)*(1-(1))²=0

plug in 0 for everywhere you see x

\(\sf \dashrightarrow t = 6r^2 + 12t\)

\(\sf \dashrightarrow -6r^2 = 12t-t\)

\(\sf \dashrightarrow -6r^2 = 11t\)

\(\sf \dashrightarrow 6r^2 = -11t\)

\(\sf \dashrightarrow r^2 = -\dfrac{11t}{6}\)

\(\sf \dashrightarrow r = \pm \sqrt{-\dfrac{11t}{6} }\)

\(\dashrightarrow \sf r=\pm i\sqrt{\dfrac{11t}{6}}\)

Answer:

B) retirement

Step-by-step explanation:

Retirement is the only one that makes sense to me when you regularly save a small amount of money, and then letting the value grow over time.

Hope this helps!!

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

answer: In this case, -0.50, -0.10, 0.60, 0.68, 0.98 are all correlation coefficients and -0.50 is the least and 0.98 is the greatest among the given correlation coefficients.

but why? The correlation coefficients can be ordered from least to greatest as:

-0.50, -0.10, 0.60, 0.68, 0.98

A correlation coefficient is a measure of the strength and direction of a linear relationship between two variables. The value of the coefficient ranges from -1 to 1, where:

A coefficient of -1 represents a perfect negative correlation, meaning that as one variable increases, the other variable decreases.

A coefficient of 0 represents no correlation, meaning that there is no linear relationship between the two variables.

A coefficient of 1 represents a perfect positive correlation, meaning that as one variable increases, the other variable also increases.

Answer:

4/7

Step-by-step explanation:

5+2=7

7 children

4 boys Out of 7 children

Answer:1/7

Step-by-step explanation:

Khan academy

Heather's account balance will be approximately $1,340.55 after 7 years if the interest is compounded 6 times each year.

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

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

Where:

A is the account balance after a certain amount of time

P is the principal or initial amount invested

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time period in years

Given tha data in the question;

First, convert R as a percent to r as a decimal

r = R/100

r = 3.5/100

r = 0.035 rate per year.

Substituting these values into the formula solve for accrued amount, we get:

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

A = 1,050(1 + 0.035/6)^(6 × 7)

A = 1,050(1 + 0.005833333333333)⁴²

A = 1,050(1.005833333333333333)⁴²

A = $1,340.55

Therefore, the accrued amount is $1,340.55.

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Answer:

Can you explain the base and the height of the triangle so I can help you?

Step-by-step explanation:

Answer:

f(n) = -3n + 24

Step-by-step explanation:

-3n + 24

-3 x 1 = -3 + 24 = 21

-3 x 3 = -9 + 24 = 15

-3 x 6 = -18 + 24 = 6

-3 x 7 = -21 + 24 = 3

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

714

Step-by-step explanation:

587,714 they arrange in orderly form

A number greater than 714,587 is 714,588

The complete question is added as an attachment

From the attached figure, we have:

Passengers = 714,587

Numbers greater than 714,587 would have a value greater than 714,587

This is represented as:

x > 714,587

The above inequality represents numbers greater than 714,587

An example of such number is 714,588

Hence, a number greater than 714,587 is 714,588

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Answer:

x=3, -1/7

Step-by-step explanation:

7x^2-20x-3=0

Factor.

(x-3)(7x+1)=0

x-3=0 ⇒ x=3

7x+1=0 ⇒7x=-1 ⇒x= -1/7

Answer:

\(x = \frac{-1}{7}\) or \(x = 3\)

The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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Answer:

angle a: 70°

angle d: 70°

angle dce: 35°

x: 15m

y: 14m

Step-by-step explanation:

all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70

where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar

knowing that they are similar triangles will help with figuring out the lengths of the sides.

since they are similar, their sides will be proportional, we just need to figure out the ratio

if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x

now we can solve for x

multiply both sides by x

12x/18 = 10

now multiply both sides by 18

12x = 180

divide both sides by 12

x = 15

now we do the same for y

12/18 = y/21

12*21/18 = y

y = 14

hope this helps!

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

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

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

Answer:

critical value is considered part of the rejection region.

Step-by-step explanation:

hope this helps!

Answer:

he will pay more

Step-by-step explanation:

in totoal he will pay 413.40 because apr is interest

his interest total will be 13.40$

Answer:

\(12942\) is the sum of positive integers between \(1\) (inclusive) and \(199\) (inclusive) that are not multiples of \(4\) and not multiples \(7\).

Step-by-step explanation:

For an arithmetic series with:

there would be \(\displaystyle \left(\frac{a_n - a_1}{d} + 1\right)\) terms, where as the sum would be \(\displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n)\).

Positive integers between \(1\) (inclusive) and \(199\) (inclusive) include:

\(1,\, 2,\, \dots,\, 199\).

The common difference of this arithmetic series is \(1\). There would be \((199 - 1) + 1 = 199\) terms. The sum of these integers would thus be:

\(\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}\).

Similarly, positive integers between \(1\) (inclusive) and \(199\) (inclusive) that are multiples of \(4\) include:

\(4,\, 8,\, \dots,\, 196\).

The common difference of this arithmetic series is \(4\). There would be \((196 - 4) / 4 + 1 = 49\) terms. The sum of these integers would thus be:

\(\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}\)

Positive integers between \(1\) (inclusive) and \(199\) (inclusive) that are multiples of \(7\) include:

\(7,\, 14,\, \dots,\, 196\).

The common difference of this arithmetic series is \(7\). There would be \((196 - 7) / 7 + 1 = 28\) terms. The sum of these integers would thus be:

\(\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}\)

Positive integers between \(1\) (inclusive) and \(199\) (inclusive) that are multiples of \(28\) (integers that are both multiples of \(4\) and multiples of \(7\)) include:

\(28,\, 56,\, \dots,\, 196\).

The common difference of this arithmetic series is \(28\). There would be \((196 - 28) / 28 + 1 = 7\) terms. The sum of these integers would thus be:

\(\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}\).

The requested sum will be equal to:

That is:

\(19900 - 4900 - 2842 + 784 = 12942\).

Answer:

False

Step-by-step explanation:

9 cannot be equal to 31

Emilio can find that the critical value t* for a 90% confidence level and 11 degrees of freedom is approximately 1.796.

To construct a t interval for the mean lifespan with 90% confidence, Emilio needs to use a t-distribution with n-1 degrees of freedom. The confidence interval for the population is given by:

confidence interval = x ± t × (s·x/√n)

Where x is the sample mean, s·x is the sample standard deviation, n is the sample size, and t is the critical value of the t-distribution.

Since the sample size is n=12, the degrees of freedom for the t-distribution will be (n-1) = 11. To find the critical value t* for a 90% confidence level and 11 degrees of freedom, Emilio can use a t-distribution table or a statistical software.

Using a t-distribution table or calculator, Emilio can find that the critical value t* for a 90% confidence level and 11 degrees of freedom is approximately 1.796.

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Answer:

twenty three million ninety six thousand one hundered fourty five

Step-by-step explanation:

not needed

Answer:

605

Step-by-step explanation:

11x55=605

Answer:

x = 7

Explanation:

First, we need to subtract 16 from both sides of the equation:

x² - 6x + 9 = 16

x² - 6x + 9 - 16 = 16 - 16

x² - 6x - 7 = 0

Now, we need to factorize the expression, so we need to find two numbers that multiply to -7 and add to -6. These numbers are -7 and 1, so:

x² - 6x - 7 = 0

(x - 7)(x + 1) = 0

So, the solutions of the equation are:

x - 7 = 0

x - 7 + 7 = 0 + 7

x = 7

or

x + 1 = 0

x + 1 - 1 = 0 - 1

x = - 1

Therefore, the positive solution to the equation is x = 7