What is the scale factor? What is the missing length of the scale model?

Answer:

Her investment will grow over the years due to the 2 percent interest. Inflation will impact the value of her investment

For the given data. the simple interest will be $100.His investment will grow over the years. Because of the simple interest.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that, Pardis recently deposited $5,000 in a savings account that pays a return of 2 percent per year.

Principal = $5,000

Rate= 2%

Time= 1 year

SI = (P×R×T)/100

SI = (5000×2×1)/100

SI=100

Thus, for the given data. the simple interest will be $100.His investment will grow over the years. Because of the simple interest.

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Answer:

x = 60

Step-by-step explanation:

subtract 7 from both sides:

7 + x - 7 = 2x - 53 - 7

Simplify:

x = 2x - 60

Subtract 2x from both sides:

x - 2x = 2x  - 60 - 2x

Simplify:

-x = -60

Divide by -1=

-x/-1 = -60/1

Answer:

12

Step-by-step explanation:

the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then

3(3x) + 2(4x) = 68 , that is

9x + 8x = 68

17x = 68 ( divide both sides by 17 )

x = 4

smaller number = 3x = 3 × 4 = 12

Answer:

This is a geometric sequence, and the common difference/ratio is 0.5

Step-by-step explanation:

The difference between 4 and 2 is * 0.5, or 1/2, which is the same between 2 and 1. This means that we are dividing.

Remember that arithmetic means plus or minus, while geometric means multiplication or division. Because we are dividing, this is a geometric sequence.

The common difference/ratio in this is divided by 2, which is the same as being multiplied by 0.5.

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

The value of the function as x tends to -1 is an infinite value.

Given the function f(x) = 1/(x+1)

The value of f(x) as x tends to -1, is gotten by substituting the value of x given into the function as shown:

f(-1) = 1/(-1+1)

f(-1) = 1/0

f(-1) = \(\infty\)

From the result, we can see that the value of the function as x tends to -1 is an infinite value.

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Answer:

I've heard of him skkcosoqozox

Answer:

I know about corpse

Step-by-step explanation:

But not the pi part

Answer:

Step-by-step explanation:

p(x)=7x+20

p=7x/x + 20/x

answer   p=7+20/x

I hope its helpful.

The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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It would take 11.7 seconds for the sheepdog to catch up with the collie.

To determine the number of seconds after which the sheepdog would catch up with the collie, knowing that the distance of the relay race is 51 feet, and the collie starts the course 0.3 second before the sheepdog, and the collie is running 23.4 feet per second, while the sheepdog is running 24 feet per second, the following calculation must be performed:

Therefore, it would take 11.7 seconds for the sheepdog to catch up with the collie.

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Answer: \(y=2x+2\)

Step-by-step explanation:

\(2x+4y=8\\\\x+2y=4\\\\2y=-x+4\\\\y=-\frac{1}{2}x+2\)

So, the slope of the given line is -1/2, meaning the slope of the line we want to find is 2.

Since the y-intercept is the given line is (0,2), the equation is \(y=2x+2\)

The calculator will display the answer, which is 3.04021, Round the answer to five decimal places. The answer is 3.04021.

To evaluate the expression, we can use a calculator to find that In(1097) = 3.04021. When rounding to five decimal places, we get 3.04021.

Enter the expression In(1097) into the calculator.

Press the "equals" sign (=).

The calculator will display the answer, which is 3.04021.

Round the answer to five decimal places. The answer is 3.04021

A decimal is a number system that uses the number 10 as its base. This means that all numbers are made up of multiples of 10, 100, 1000, and so on. Decimals are used in everyday life to represent quantities such as money, weight, and length.

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If there's a diameter of 14 feet, then the radius is 7 feet because it's half.

The volume would be

Where r = 7, so

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

A polynomial is a mathematical equation that only uses addition, subtraction, multiplication, and non-negative integer exponents and is made up of variables and coefficients. To put it another way, a polynomial is an algebraic expression made up of terms that are sums, products, and/or products of variables and coefficients. The leading coefficient is the coefficient of the term with the highest degree, while the degree of a polynomial is the maximum power of the variable in the expression.

given

(a) We need to determine Q(10), Q'(10), and Q" in order to determine the second degree Taylor polynomial for Q(t) with a center at t=10 (10).

As we are aware, Q(10) = 200. (given in the problem statement).

We must take the derivative of Q(t) with respect to t in order to determine Q'(10):

Q'(t) = -5t + 250

Q'(10) = -5(10) + 250 = 200

We must take the derivative of Q'(t) with respect to t in order to determine Q"(10):

Q''(t) = -5

Q''(10) = -5

The second degree Taylor polynomial can now be calculated using the following formula: P2(t) = Q(10) + Q'(10)(t-10) + (1/2)Q"(10)(t-10)2.

With the numbers we discovered, we can calculate P2(t) as 200 + 200(t-10) + (1/2)(-5)(t-10)2.

\(P2(t) = 200 + 200(t-10) - (5/2)(t-10)^2\)

(b) We must assess the second degree Taylor polynomial at t=12 in order to determine how much oil is in the lake at that time.

P2(12) = 210 gallons because P2(12) = 200 + 200(12-10) - (5/2)(12-10)2. (rounded to the nearest gallon)

As a result, 210 gallons of oil are thought to have been present in the lake at time 12 (t=12).

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Answer:

Step-by-step explanation:

F: x * x  = x^2

O:9 * x = 9x

I : 7 * x = 7x

L: 7 * 9 = 63

x^2 + 9x + 7x + 63

x^2 + 16x + 63

The given measurement in scientific notation as \(6\times10^9\). Therefore, option D is the correct answer.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as \(1.56\times10^7\).

The given distance is 6,000,000,000 miles.

There are 9 zeros in the given number

So, scientific notation is \(6\times10^9\)

Therefore, the number in scientific notation is \(6\times10^9\).

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Answer:

Step-by-step explanation:

If u means m^2 * m^3 = m^5

Answer:

x = 14

Step-by-step explanation:

Becau8se it's the mode of the list of numbers you gave me

Answer:

2383.14286

Step-by-step explanation:

The volume of a prism is length times width times height. Since we already know the height and length of the prism, we can divide the volume of the prism by the height and length. This becomes: 50046/3 = 16682. Next we divide by 7: 16682/7 = 2383.14286. Hope this helps!

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Answer: p=0.87 (density of oil), m=37.5 (mass of liquid), v=11.92 (volume of liquid)

Step-by-step explanation:

p=m/v

p=43.5/50

p=0.87 (density of oil)

m=pv

m=2.5x15

m=37.5 (mass of liquid)

v=m/p

v=65/5.45

v=11.93 (volume of liquid)

the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Given:

- The bank teller serves one customer in 5 minutes.

- The demand is 12 customers per hour.

To find the average time per customer, we can invert the rate of serving customers per minute:

Average time per customer = 1 / (12 customers/hour  60 minutes/hour) = 1 / 720 customers/minute

Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:

Utilization = (Time spent serving customers / Total available time)  100%

Time spent serving customers = Average time per customer  Number of customers

Time spent serving customers = (1 / 720 customers/minute)  (12 customers/hour)

Time spent serving customers = 12 / 720 hours

Utilization = (Time spent serving customers / Total available time)  100%

Utilization = (12 / 720 hours) / (1 hour)  100%

Utilization = 12 / 720  100%

Utilization = 1.67%

Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.

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Answer:

-2 & -2

Step-by-step explanation:

-2 * -2 = 4 (+ve 4)

-2 + -2 = -4 (-ve 4)

Answer:

-2 and -2

Step-by-step explanation:

-2 + -2 = -4

-2 x -2 = 4

The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

The slope of a line can be defined a number that describes the direction and steepness of the line.

It is also known as gradient

It is denoted by the letter 'm'

Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.

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Answer:

1.5/3=3/9

Step-by-step explanation:

1.5/3=1/2  when 3/9=1/3

I hope this helps :)

Answer:

1.5/3 = 3/9 is not a proportion

Step-by-step explanation:

1.5/3 = 3/9

1.5 divide by 3 is 1/2 but 3 divide by 9 is 1/3 which makes it  not proportional

The linear depreciation function for this example can be represented by the equation: D(t) = -($5,400)t + $54,000, where D(t) is the value of the car after t years.

The depreciation function is linear because it represents a constant decrease in value over time. In this case, the car depreciates by $5,400 per year. The initial value of the car is $54,000, and after each year, the value decreases by $5,400. The negative sign in front of ($5,400)t indicates that the value of the car decreases over time. The term ($5,400)t represents the depreciation amount for each year, and it is multiplied by the number of years, t. Adding $54,000 ensures that the initial value of the car is accounted for. By plugging in different values of t into the equation, you can calculate the value of the car after a specific number of years. For example, after 5 years, the value of the car would be D(5) = -($5,400)(5) + $54,000 = $27,000. This indicates that the car would be worth $27,000 after 5 years of depreciation.

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Answer:

eew3fe

Step-by-step explanation:

Using trigonometric ratio and the angle of depression, the altitude of the plane is 98m

The angle of depression is an angle formed by a horizontal line and a line of sight from a point above that line to an object below that line. It is used in trigonometry to calculate the distance between the observer and the object of interest.

Using trigonometric ratio, we can calculate the height or altitude which the plane is flying.

Data;

Using tangent of the angle;

tan θ = opposite / adjacent

tan 27 = x / 193

x = 193 * tan27

x = 98m

The altitude is 98m

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