The scale of a map says that 6 cm represents 15 km.
What distance on the map represents an actual distance of 6 kilometers?

a) 0 3.6
b) 2.5
c) 0 2.4
d) 0.42

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

Answer:

Step-by-step explanation:

1 and 2.

slope is m = ( y2-y1) / (x2-x1)

slope of BC = 5-3 /6-1 = 2/5

slope of AD = 1 +1 / 7-2 = 2/5

3 and 4

use the distance formula d= √(x2-x1)² +(y2-y1)²

BC = √( 6-1)²+(5-3)² = √5²+2²= √29

AD = √(7-2)²+(1+1)² = √5²+2² = √29

5.

since BC and AD have the same slope then they are parallel

since BC and AD are same length the segments are ≅

so ABCD is a rectangle

There is a strong, positive relationship between the number of steps taken and the kilometers walked per day.

There is a strong, positive relationship between the Temperature of a rubber band and distance the rubber band can stretch.

There is a strong, negative relationship between the car weight and distance traveled using a full tank of gas.

There is a strong, positive relationship between the average fat intake per citizen of a country and average cancer rate of a country.

There is a weak positive relationship between the score on science exam and number of words written on the essay question.

There is a weak, negative relationship between the average time spent listening to music per day and average time spent watching TV

per day.

Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The closer the correlation coefficient is closer to one, the stronger the linear relationship that exists between the two variables.

A positive correlation occurs when the two variables move in the same direction. When there is a positive correlation, the graph of the variables is upward sloping

A negative correlation occurs when two variables move in different direction. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping

To learn more about negative correlation, please check: https://brainly.com/question/27246345

#SPJ1

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

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

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

Read more on volume of prism here: brainly.com/question/21012007

#SPJ1

Answer is in this link:

https://brainly.com/question/17270742

Answer:

  an infinitely long time

Step-by-step explanation:

You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.

The kitten runs slower than the puppy, so can never catch up to it.

<95141404393>

Based on the given responses, the student who factored 20x^6 = (2x)(10x^5) correctly is Andrei. Therefore, the correct answer is (Choice A) Andrei.

Among the given responses, the student who factored 20x^6 = 20, x to the power of 6 correctly is Andrei. Andrei's factorization is (2x)(10x^5), which correctly represents the original term 20x^6. Therefore, the correct answer is (Choice A) Andrei.

Amit's factorization is (4x^3)(5x^3), which is incorrect because it breaks down the term into two factors with the same exponent, while the original term has an exponent of 6.

Andrew's factorization is (20x^2)(x^3), which is also incorrect as it does not accurately represent the original term 20x^6.

Hence, the only student who correctly factored 20x^6 = 20, x to the power of 6 is Andrei.

The right answer is A. Andrei who factored 20x^6 = (2x)(10x^5) correctly.

For more such question on factored  

https://brainly.com/question/43919

#SPJ11

The coordinates of the point of intersection of the tangent and the secant are;

T(a, b) = (9/5, -14/5)

C = (0, -1)

A tangent is a line or segment that touches a circle only once.

The equation of the line AN is; y - 2 = ((-2 - 2)/(2 - 3)) × (x - 3)

y = 4·x - 12 + 2 = 4·x - 10

y = 4·x - 10

The coordinates of the center of the circle is; ((-5 + 3)/2, (4 + 2)/2) = (-1, 3)

The radius of the circle is; √((3 - (-1))² + (2 - 3)²) = √(17)

The equation of the circle is; (x + 1)² + (y - 3)² = 17

The point C indicates;

(0 + 1)² + (y - 3)² = 17

(y - 3)² = 17 - 1 = 16

y - 3 = √(16) = ±4

y = 4 + 3 = 7, and y = -4 + 3 = -1

The coordinates of the point C is; (0, -1)

The slope of AC = (2 - (-1))/(3 - 0) = 1

AC is perpendicular to BC

The slope of BC = -1

The equation of BC is therefore; y - 4 = -(x - (-5)) = -x - 5

y = -x - 1

The equation of the segment AN is; y - 2 = ((2 - (-2))/(3 - 2))×(x - 3)

y - 2 = 4·(x - 3)

y = 4·x - 12 + 2 = 4·x - 10

-x - 1 = 4·x - 10

x-coordinate of T = 9/5

The y-coordinate of T = -9/5 - 1  = -14/5

Therefore, at the point T, we get; (9/5, -14/5)

a = 9/5, b = -14/5, C = (0, -1)

Learn more on perpendicular lines here: https://brainly.com/question/18831805

#SPJ1

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

learn more about sine rule from

https://brainly.com/question/20839703

#SPJ1

Answer: 1/7

Step-by-step explanation:

There are seven balls in Shawn's bag, and he has to choose one ball out of them.

Since all the balls are equally likely to be chosen, the total number of outcomes can be found using the following formula:

Total number of outcomes = number of balls in the bag = 7

Now, Shawn has only one purple ball in his bag.

Hence, the number of favorable outcomes will be one.

Therefore, the probability of Shawn choosing the purple ball out of the bag can be calculated using the following formula:

Probability = Number of favorable outcomes/ Total number of outcomes

Probability of Shawn choosing the purple ball = 1/7 or 0.143 (rounded off to three decimal places).

Hence, the probability of Shawn choosing the purple ball out of the bag is 1/7.

Answer:

Statement: Triangle ACD is congruent to Triangle BCD

Reason: SSA (Side, Side, Angle)

Answer:

The price that maximizes profits is $230 per good

The maximum profits earned at the above set price is $2,180,000

Step-by-step explanation:

Determine the profit function

\(Q=70000-200P\\Q+200P=70000\\200P=70000-Q\\P=350-\frac{1}{200}Q\)

Find the total revenue function

\(TR=P*Q\\TR=(350-0.005Q)*Q\\TR=350Q-0.005Q^2\)

Find the total profit function

\(TP=TR-TC\\TP=(350Q-0.005Q^2)-(110Q+700000)\\TP=240Q-0.005Q^2-700000\)

Determine the profit-maximizing quantity of output

\(\frac{d(PT)}{dQ}=240-0.01Q\)

\(0=240-0.01Q\)

\(-240=-0.01Q\)

\(24000=Q\)

Determine the profit-maximizing price

\(P=350-0.005Q\\P=350-0.005(24000)\\P=350-120\\P=230\)

(Optional) Determine the total profit

\(TP=240Q-0.005Q^2-700000\\TP=240(24000)-0.005(24000)^2-700000\\TP=2180000\)

This means that the firm makes its maximum profit of $2,180,000 when the price per good is set to $230.

ANSWER :

a. y = 3 feet

b. The maximum height is 19 feet

c. 33.44 ft

EXPLANATION :

From the problem, we have the equation :

a. The height of the ball, y when x = 0 is :

b. The maximum height can be obtained by substitute x = h

where h is :

Solve for h with a = -1/16 and b = 2

Substitute x = h = 16, then solve for y :

c. The distance of the ball to the child when the ball strikes the ground is when y = 0

Using quadratic formula with a = -1/16, b = 2 and c = 3

Since there's no negative distance, the answer will be 33.44 ft

The perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.

To know the perimeter of a plane figure, we add up all the length of its sides or boundaries together. That is the sum total of the length of a plane figure is called its perimeter.

The plene figure has for sides who two of it is 5 inches each and the other two is 3 inches each.

thus we calculate for the perimeter as follows:

perimeter of the plane figure = 5 in + 5 in + 3 in + 3 in

perimeter of the plane figure = 16 inches

Therefore, the perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.

Know more about perimeter here:https://brainly.com/question/397857

#SPJ1

Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.

An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.

Here,

We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:

3y + 3/4 > 3/4

Next, we can simplify by subtracting 3/4 from both sides:

3y > 0

Finally, we can solve for y by dividing both sides by 3:

y > 0/3

y > 0

To know more about inequality,

https://brainly.com/question/30238773

#SPJ1

The percentage change of the population is P = 1.7 %

Given data ,

To calculate the percent increase from 2014 to 2015, we need to find the difference between the two population values, divide it by the initial value, and then multiply by 100 to get the percentage.

Population increase = 7,375 - 7,250 = 125

Percent increase = (Population increase / Initial population) * 100

Percent increase = (125 / 7,250) * 100 ≈ 1.7241

Rounding to the nearest tenth of a percent, the percent increase is approximately 1.7%.

Hence , the percentage change is P = 1.7 %

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ1

Answer:

Step-by-step explanation:

Answer:

14

-83

-43

these anwrers when you make it with different ways.

You nees to get more than one answer with this problem I guess.

13-7+8 = 14

13(-7) + 8 = -83

13-7(+8) = -43If this not what you asked please delete my answer, if not kindly give me brainliest if you like.

Answer:

THERE IS NO OTHER ANSWER THAN 14

Step-by-step explanation:

Only 1 answer can be found by doing this problem in any order:

If we do 13-7 first:
(13-7)+8=

6+8=

14

So 1 answer is 14

If we do -7+8 first:

13+(-7+8) =

13+1=

14

So either way you do it you get the same answer. This is why it doesn't matter whether you do addittion or subtraction first before the other.

THERE IS NO OTHER ANSWER THAN 14

Answer: i think the first thing is correct and the third thing is correct.

Step-by-step explanation:

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer: 21

Step-by-step explanation:

7/10*30 or 21

Answer:

Step-by-step explanation:

\(\frac{x^3}{a^3} +\frac{a^3}{x^3} =p\\\frac{x^3}{a^3} -\frac{a^3}{x^3} =q\\adding\\2\frac{x^3}{a^3} =p+q\\\frac{x^3}{a^3} =\frac{p+q}{2} \\substitute~in~first\\\frac{p+q}{2} +\frac{2}{p+q} =p\\\frac{(p+q)^2+4}{2(p+q)} =p\\(p+q)^2+4=2p(p+q)\\p^2+q^2+2pq+4-2p^2-2pq=0\\q^2-p^2+4=0\\q^2=p^2-4\)

Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer: A

f(x)=(x-4)^(2)

Step-by-step explanation:

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

For more such questions on semi-annually

https://brainly.com/question/30573341

#SPJ8