Given the diagram below, what is m

Answer:

Step-by-step explanation:

slope = y2-y1/x2-x1

Given the coordinates (k,6k) and (3k,10k)

x1 = k

y1 = 6k

x2 = 3k

y2 = 10k

Substitute

slope = 10k-6k/3k-k

slopw = 4k/2k

slope = 4/2

slope  = 2

Hence the slope of the line is 2

Answer:

It means your asking how much one of one type of thing is

Step-by-step explanation:

Answer:

2 × 3^2 × 7

Step-by-step explanation:

hope this works for you :)

To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.

Step 1: Convert the mixed number to an improper fraction:

7 5/6 = (6 * 7 + 5) / 6 = 47/6

Step 2: Multiply the improper fraction by the reciprocal of the fraction:

47/6 ÷ 2/3 = 47/6 * 3/2

Step 3: Simplify the fraction if possible:

47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12

Step 4: Simplify the fraction further, if necessary:

141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4

Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.

Answer:

F

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

Answer:

576

Step-by-step explanation:

24x24 equals 576

Answer:

To find the solution to f(x)=g(x), we need to find the point(s) where the two curves intersect.

The graph is not provided, but we can find the solution algebraically by setting the two functions equal to each other:

f(x) = g(x)

x^2 = 12^(x-1)

To solve for x, we can take the logarithm of both sides:

log(x^2) = log(12^(x-1))

2log(x) = (x-1)log(12)

2log(x) = xlog(12) - log(12)

2log(x) - xlog(12) = -log(12)

log(x^2) - log(12^x) = -log(12)

log(x^2/12^x) = -log(12)

log(x/12) = -log(12)

log(x) - log(12) = -log(12)

log(x) = 0

x = 1

Therefore, the solution to f(x)=g(x) is x=1.

Step-by-step explanation:

Answer: $1,540,194.30 .

Step-by-step explanation:

The formula to calculate the accumulated amount earned on principal (P) at rate of interest (r)[ in decimal] compounded monthly after t years :

\(A=P(1+\dfrac{r}{12})^{12t}\)

Given:  P= $425,000

r= 4.3% = 0.043

t= 30 years

\(A=425000(1+\dfrac{0.043}{12})^{12(30)}\\\\=425000(1.003583)^{360}\\\\=425000\times3.62398657958\approx1540194.30\)

Hence, the payment would be $1,540,194.30 .

Answer:

95% Confidence Interval = (611.81 ppm, 696.51 ppm)

Step-by-step explanation:

The formula for Confidence Interval is given as:

Confidence Interval = Mean ± z × s /√n

Mean = the sample mean/average = 654.16

s = the sample standard deviation = 164.55

z = z score of 95% confidence interval = 1.96

Confidence Interval =

654.16 ± 1.96 × 164.55/√58

= 654.16 ± 42.348

Hence,

654.16 - 42.348

= 611.812

Approximately to two decimal places = 611.81 ppm

654.16 + 42.348

= 696.508

Approximately to two decimal places = 696.51 ppm

Therefore, the 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected is (611.81 ppm, 696.51 ppm).

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

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Solution

Given the circle as shown below,

diameter = 10.2

Area of a circle = πr²

where π = 3.14

Therefore the area of the circle = 81.67in²

Answer:

y=1/5x+11/5

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y-y^1=m(x-x^1) to find line parallel to -x+5y=1

Hope this helps

Answer: y = 1/5x+ 2.2

Step-by-step explanation:

First, change the expression into y-intercept form

-x+5y=1

5y=x+1

y=1/5x+1/5

For a line to be parallel to another line, it must have the same slope.  Thus, the slope must be 1/5x.  Then, to find the y-intercept simply do:

y = 1/5x+b, where x = -1 and y = 2

2=1/5(-1)+b

2 = -1/5+b

b = 2 1/5.

Thus, the equation y = 1/5x+ 2.2

Hope it helps <3

Answer:

49/54

Step-by-step explanation:

7/9 + 7/54

42/54 + 7/54

49/54

Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Answer:

a) $40.05

b) $161.99

c) C(x) = 6.45 + 0.93x, if x ≤ 20

C(x) = 6.45 + 0.84x, if x > 20 and x ≤ 50

C(x) = 6.45 + 0.77x if x > 50

The probability of rolling a number less than 12 is 91.6%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

each case in the set is mutually exclusive with the others in the set, the probability that any one of its components will occur is equal to the sum of its component probabilities.

We can have the number 12, the probality will be 1/12

So the probability of rolling a number less than 12 is = (1 -  probability of 12)

=1-1/12

=11/12

=0.916

Hence the probability of rolling a number less than 12 is 91.6%.

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Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Answer:

-7,0,1

Step-by-step explanation:

At age 77, Eastman suffered from chronic pain due to a spinal condition. On March 14, 1932, after a reportedly jovial meeting with friends, he excused himself to write a brief letter before he 4535

Daniella: Were you thinking of perpendicular lines?

Ori: It seems like you've got the basic idea, but your definition could be more precise.

Kaori: Yes! Well done. Here, have a cookie. You've earned it.

Answer:

112.81 miles

Step-by-step explanation:

304.6 divided by 2.7

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Answer: they share a road lol

Step-by-step explanation:

Answer:

<1 and <2 are alternate interior angles

Step-by-step explanation:

bc they are in between the south and north so they are interior and on opposite sides of the road so they are alternate

Answer:

110

Step-by-step explanation:

nth term = 3n + 2

3 (36) + 2

108 + 2 = 110

Answer:

The 36th term in the sequence is 104.

Here's how to find it:

- Start with the first number in the sequence: 5.

- Add the common difference, which is 3, to get the second number in the sequence: 8.

- Add the common difference to the second number to get the third number: 11.

- Continue adding the common difference to each subsequent number to find the next term in the sequence.

- The 36th term is three less than 37 times the common difference added to the first term.

- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.

- Therefore, the 36th term in the sequence is 104.

Answer:

5

Step-by-step explanation:

because it says decrease, and I don't know if it goes for others but its subtracting

The equation that describes the weight of the dog as a function of time is

y = 5x + 1.

We have,

To determine the equation that will describe the dog's weight, we can use the formula for linear interpolation:

y = mx + b

where y is the weight of the dog in kg, x is the number of months since birth, m is the rate of increase of the dog's weight every month in kg/month, and b is the initial weight of the dog in kg.

From the problem, we know that the initial weight of the dog is 1 kg and the monthly average weight gain is 5 kg.

Therefore, we can substitute these values into the formula:

y = 5x + 1

This equation describes the weight of the dog as a function of time.

To predict the dog's weight after five months, we can simply substitute

x = 5 into the equation:

y = 5(5) + 1 = 26 kg

Therefore, we can predict that the dog will weigh 26 kg after five months.

To represent this graphically, we can plot the equation y = 5x + 1 on a coordinate system with time (x-axis) and weight (y-axis).

We can then plot the predicted weight of the dog after five months

(x=5, y=26) as a point on the graph.

The resulting graph will be a straight line with a positive slope of 5, passing through the point (0,1) and the predicted point (5,26).

Thus,

The equation that describes the weight of the dog as a function of time is

y = 5x + 1.

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Answer:  1/4 first box  33/16 second box

Step-by-step explanation:

look at pictures for AnSwEr

Answer:

113

Step-by-step explanation:

First we need to find theother 2 angles of the triangle.

We are given that the top angle is 60°

We know that the angles of a triangle add up to 180°

To find the bottom left angle of the triangle...

We can see that it is alternate exterior angles so they will equal.

To find the third angle of the triangle...

180 - 60 (given angle) -53 (alternate exterior angle) = 67°

Now we know that the bottom right angle inside the triangle is 67°.

To find x...

subtract 67 from 180 because the like is a combination of x and the 67° angle we just found. (a straight line angle = 180°)

180 - 67 = 113