Given the points R(6,-2) and T(-9,-7), find the coordinates of point S on RT such that the ratio of RS to ST is 3:2

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

Answer:

Step-by-step explanation:

dang thats hard

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The only transformation that would make a shape smaller or bigger is dilation.

Since this dilation is going from bigger to smaller you will have to use a number from in between 0 and 1.

\((x,y)-->(\frac{1}{2}x,\frac{1}{2}y)\)

Answer:

Step-by-step explanation:

solo un nino diria eso

Answer:

The median is 6.5

Answer:

Step-by-step explanation:

Answer:

$283. 81

Step-by-step explanation:

Start with P = 200.00 dollars.

If the interest is compounded continuously, then after t = 7 years the at the rate r = 5% = .05, the total amount of money in the account will be A.

\(A= P e^{r*t}\)

\(A = 200*e^{.05*7}\)

A = 283.8135097

A ≈ $283. 81

12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.

Para que un número sea divisible por 6 debe cumplir dos condiciones.

En este caso tenemos 12,480, que sabemos que es par.

La suma de sus digitos da:

1 + 2 + 4 + 8 + 0 = 15

15 es multiplo de 3.

Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.

Sí quieres aprender más sobre divisiones.

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The correct interpretation of the P-value in this context is: Assuming the true proportion of black cars that receive moving violations is 0.19, there is a 24% probability that the sample proportion would be 0.15 or less by chance alone. So, the correct answer is C).

In other words, the P-value is the probability of obtaining a sample proportion of 0.15 or less (which corresponds to 10 black cars out of 70 total) if the true proportion of black cars that receive moving violations is actually 0.19.

Since the P-value is relatively high (larger than the significance level of 0.05), we fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that black cars are less likely to receive tickets for moving violations.

So, the correct answer is C).

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Answer:

Step-by-step explanation:

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Answer:

the answer is -5

Step-by-step explanation:

simply put the slope is going down one unit so that would me that for every one year equals 5lb so the would make the ratio 5/1 and when we simply that we get -5 for the first year or range they want us to answer.(And its negative because the slope is going down for the range they give us)

Answer:

b

Step-by-step explanation:

Rounding to the nearest tenth of a centimeter, the slant height is approximately 43.1 centimeters.

The lateral area of a cone is given by the formula L = πrs, where L is the lateral area, r is the radius, and s is the slant height.

We are given that the lateral area L is equal to 612π m², and the radius r is 14.2 cm (0.142 m).

We can rearrange the formula to solve for the slant height s:

L = πrs

612π = π × 14.2 × s

Dividing both sides by π and 14.2:

612 = s × 14.2

Now, solve for s:

s = 612 / 14.2

s ≈ 43.0986

L = rs, where L is the lateral area, r is the radius, and s is the slant height, gives the lateral area of a cone.

We are informed that the radius r is 14.2 cm (0.142 m), and the lateral area L is equivalent to 612 m2.

To solve for the slant height s, we may rewrite the formula as follows:

L = πrs 612π = π × 14.2 × s

612 = s 14.2 after dividing both sides by and 14.2

Next, find the value of s: s = 612 / 14.2 s 43.0986

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the two horizontal lines are parallel so that mean that:

and we can solve for x

Answer:

f ( x ) = 4 x − 10

Step-by-step explanation:

Answer:

=> 28 - x = 24

=> x = 24 - 28

=> x = -4

therefore, 28 - 4 = 24

Answer:

~~314.16

Step-by-step explanation:

lol i dont have 100000000 points. anyways

you can find the area of a sphere with the formula 4πr^2 with r being the radius

this sphere's radius is 5 as shown in the image

so

4π*r^2

4π*(5)^2

=4π*25

=100π

put into calculator

~~314.16cm^3

hope this helps

Hello there. To solve this question, we need to calculate the percentage of households that owns a 4K TV with the values given in the sample and compare with the other percentage to see if the value has increased.

Using that sample of 300 households, in which 60 of them owns a 4K TV, we get that the percentage will be calculated by the ratio:

60/300

Simplify the fraction by a factor of 60

1/5

Multiply it by 100%

20%, equal to 0.20

In 2014, we had that percentage being equal to 18%, which is equal to 0.18

So, we do have sufficient evidence that the percentage of households satifying this situation have increased with the time.

Answer:

its D

Step-by-step explanation:

calculator

Answer:

w=13

Step-by-step explanation:

15+w=3w-11

+11           +11

26+w=3w

    -w   -w

26=2w

26/2=2w/2

13=w

Answer:

w =13

Step-by-step explanation:

15+w=3w−11

Collect like terms

15+11=3w−w

Simplify

26=2w

Divide both sides of the equationy 2

26/2=2w/2

Simplify

13=w

switch sides

w=13

Answer:

there is no question plzz attach it first

Answer:

12/4 = L/8

Step-by-step explanation:

.......................

Answer:

it is 500.625

Step-by-step explanation:

it is the right one

If G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

The statement "A group G whose order is a prime number has only two subgroups, G itself and 1 = {1}" means that if G is a group with a prime number of elements, then the only subgroups of G are the trivial subgroup {1} and the group G itself.

In other words, there are no other proper subgroups of G besides these two.

The statement "A group G whose order is (p-1) where p is a prime number has a subgroup of order p if and only if G is cyclic" means that if G is a group with (p-1) elements, where p is a prime number, then G has a subgroup of order p if and only if G is a cyclic group.

In other words, if G is not a cyclic group, then it does not have a subgroup of order p. Conversely, if G is cyclic, then it has a unique subgroup of order p.

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Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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(a) The value of the z-score for the 6.4 fluid ounce orange is -1.64

(b) The value of the z-score for the 3.11 fluid ounce orange is -4.63

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

Mean = 8.2

Standard deviation = 1.1

The values of the z-scores is calculated as

z = (z - Mean)/Standard deviation

So, we have

z = (z - 8.2)/1.1

When the score is 6.4, we have

z = (6.4 - 8.2)/1.1

Evaluate

z = -1.64

Recall that

z = (z - Mean)/Standard deviation

So when the score is 3.11, we have

z = (3.11 - 8.2)/1.1

Evaluate the expression

z = -4.63

Hence, the values of the z-scores are -1.64 and -4.63

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Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.