the points E,F,G and H all lie on the same line segment, in that order, such that ratio of EG:FG:GH is equal to 4:1:5. If EH=10, find EG

Answer:

-1/4

Step-by-step explanation:

Good Luck!

The company sales in year 14, given the rate of increase and the amount made in sales would be C $3,656,872.

In the first year, the sales of the company were $ 475, 000 and this sales is scheduled or predicted to grow at 17 %.

This means that the company sales in year 14 would be :

= Initial sales x ( 1 + rate ) ^ number of years

Initial sales = $ 475, 000

Rate = 17 %

Number of years = 14 years

The company sales in year 14 is:

= 475, 000 x ( 1 + 17 %) ¹⁴

= $3, 656, 872

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In this pair of graph, the apparent solution is the intersection of two graphs.

Based on the graph, the intersection is found at (2, 0) and (-1, 3). Let me illustrate that here:

Answer:

A and B

Step-by-step explanation:

Using the algebraic principle, the true statement about the scenario described is "Leena consumed 1,500 calories at dinner"

x = 2/3 of daily calorie

Hence, fraction of calories consumed during breakfast and lunch can be calculated thus :

Let total amount of calorie consumed per day = c

1/3 × c = 750

c/3 = 750

c = 750 × 2 = 2250 calories

Calories consumed at dinner = (2250 - (750)) = 1500 calories

Hence, the Statement which described the situation is that 1500 calories is consumed during dinner.

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The mean population in the U.S. is 2,068,548.

The median population in the U.S. is 1,565,659.

There is no mode in the dataset.

The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.

To find the mean population, we need to sum up all the populations and divide by the total number of cities.

Mean = EF / n

Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507

Mean = 24, 822,580 / 12

Mean =  2068548.33333

Mean =  2,068,548

Arranging populations in ascending order:

\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)

Median population = (1,547,253 + 1,584,064) / 2

Median population = 1,565,658.50.

The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.

Standard Deviation:

\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)

\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)

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Answer:

25.64%

Step-by-step explanation:

((Y-X)/X)*100 = Percent Change

X is 39, and Y is 49 that it changed to.

((49-39)/39)*100 = 25.64%

25.64%

Answer: 25.64%

1. Find the difference between 39 and 49 as a number.

2. Divide the result from Step 1 by the starting number 39.

3. Multiply the result from Step 2 by 100 to get it in terms of percent.

Credit goes to this web: https://thepercentagecalculator.net/PercentChange/what-is-the-percent-change-from-39-to-49.html

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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an image please   because there is nothing explainign what you need                                                                                                                                                                  

Answer:

101-120=4

Step-by-step explanation:

All that you need to do is count how many data points fall into this category. In this case, there are four data points that fall into the category of 101-120 pushups

Therefore, the answer to the blank is 4. If possible, please mark brainliest.

Answer:

There are 4 numbers between 101 and 120.

Step-by-step explanation:

101-120: 105, 111, 111, 113 (4 numbers)

Step-by-step explanation:

We will assume “a number” is “a”. When it is cubed it will be represented by

= “a³”.

When we multiply the number with 5 then the new cube will be

= (5a)³

Now distribute the exponent to the factors inside the parentheses.

= 125a³

What happens in the parentheses is 5*5*5 = 125

a*a*a = a³

So by multiplying your number with 5 it gets increased by 125 times.

Part A:  If her finance charge will be $51, an equation to determine Rebecca's current credit card balance is x = (51 - 1) ÷ 0.02.

Part B: Rebecca can save $27 in finance charges by making the purchase on the last day of the billing cycle instead on the first day.

An equation is a mathematical statement showing that two or more mathematical expressions share equality in value.

Equations are depicted using the equation symbol (=).

A finance charge includes the interest and other fees charged on credit cards.

The finance charge is usually based on a stated APR (annual percentage rate).

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing ont the last day = $27 ($28 - $1)

Thus, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

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Answer:

.052

Step-by-step explanation:

sin(3) = .052

() = sin(3)

() = .052

The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

B,C and D is the answer of this question

Answer:

Step-by-step explanation:

We need only two points.

Choose any two values of x. Put them to the equation and calculate the value of y:

\(y=-\dfrac{2}{3}x+1\\\\\text{for}\ x=0\\\\y=-\dfrac{2}{3}\cdot0+1=0+1=1\to A(0;\ 1)\\\\\text{for}\ x=3\\\\y=-\dfrac{2}{3}\cdot3+1=-2+1=-1\to B(3;\ -1)\)

Answer:

5/7

Step-by-step explanation:

You find a slope by using the equation y2-y1/x2-x1.

In this case: 15-5/21-7

10/14

5/7

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from the given angle, we know the opposite side and want to know the adjacent side. Therefore, we should use the tangent function.

tan(54) = 16/BC

BC = 16/tan(54)

BC = 11.62 units

Hope this helps!

Answer:

12

Step-by-step explanation:

PEMDAS is the order

P = parenthesis

E = exponent

M = *

D = division

A = +

S = -

so first 8*2 = 16

and then -8/2 = -4

and then -4 + 16

= 12

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The median is a measure of central tendency in a data set. It represents the middle value when the data is arranged in ascending or descending order.

For an odd number of data points, the median is simply the value that falls exactly in the middle of the ordered list. For example, if we have the data set [1, 3, 5, 7, 9], the median is 5 because it is the value at the center.

However, when the number of data points is even, there is no single middle value. In this case, the median is calculated by taking the average of the two middle values. For example, if we have the data set [2, 4, 6, 8], the two middle values are 4 and 6. The median is then (4 + 6) / 2 = 5.

So, in summary:

For an odd number of data points, the median is the value in the middle of the ordered list.

For an even number of data points, the median is the average of the two middle values.

The equation for the distance d from Dallas, in terms of h, the number of hours Joe has traveled is d = 320 - 69h. Hence, option B is the right choice.

The total distance that Joe needs to cover to travel to Dallas = 320 miles {As he lives 320 miles away from Dallas}.

The distance that Joe covers after traveling for h hours at an average speed of 69 miles per hour = 69h {as Distance = Speed*Time}

Therefore, the distance left to cover by Joe, that is the distance from Dallas d can be written as the difference between the total distance needed to be covered and the distance Joe already covered.

Thus the equation is d = 320 - 69h.

Thus, the equation for the distance d from Dallas, in terms of h, the number of hours Joe has traveled is d = 320 - 69h. Hence, option B is the right choice.

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The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

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

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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Answer:

\(y=5x^2-80x+324\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for f, we can cross-multiply the equation:

f/40 = 10/f

Multiplying both sides by 40f gives:

f^2 = 400

Taking the square root of both sides yields:

f = ±20

Therefore, the solutions for f are f = 20 and f = -20. However, since f represents a physical quantity (presumably a frequency), we take only the positive value:

f = 20

Hi there!

simplest ratio form: 2:1

1.Find commonest denominator:

\(6*3=3*3\)

2.Divide both with the term:

\(6*3=2+3*3=1=2:1\)

Therefore, simplest ratio form would be 2:1. This also means that 2 ounces would be 1 cup.

For exponential function g(x)=10ˣ, the table is given below.

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Exponential Growth

In Exponential Growth, the quantity increases very slowly at first, and then rapidly. The rate of change increases over time. The rate of growth becomes faster as time passes. The rapid growth is meant to be an “exponential increase”. The formula to define the exponential growth is:

y = a ( 1+ r )ˣ

Where r is the growth percentage.

Exponential Decay

In Exponential Decay, the quantity decreases very rapidly at first, and then slowly. The rate of change decreases over time. The rate of change becomes slower as time passes. The rapid growth meant to be an “exponential decrease”. The formula to define the exponential growth is:

y = a ( 1- r )ˣ

Where r is the decay percentage.

Now given function

g(x)=10ˣ

then function g(x-1)=10^(x-1)ˣ⁻¹

So, g(x)/g(x-1)=10*10ˣ⁻¹=10ˣ⁻¹=10

Therefore, the table will be as

 x             g(x)              g(x)/g(x-1)

 2             100                 10

 3               1000              10

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