What's 2|–9| – |–2|? Question 14 options: A) –18 B) –20 C) 16 D) 20

Answer:

y'=|x-5|-1

Step-by-step explanation:

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Step-by-step explanation:

angles are equivalent to 65 degrees :

<2, <4 & < 8

Answer: 10,000 or 10^4

Step-by-step explanation: I will assume in the problem that the logarithm is of base-10. We can therefore rewrite the equation in words as 10^4=x. The general form of a logarithm is log base y of x=z. This can be rewritten as y^z=x. We are doing the same thing here. We know that 10^4 is 10,000 so that is our answer.

Hope this helps!

For practice here are some problems (assume all logarithms are our base 10): log x = 3, log x = 1.

Answer:

in the heaven or hell hhhvgvcgdgghh

Answer:

X intercepts: (100/3,0)

Y intercepts: (0,100)

Monthly payment for United bank = $1207.70, monthly payment for capitol bank =$1834.62. Total interest from United bank = $75600 and from capitol bank = $135000.

Total interest is determined by the addition of all the interest payments.

United bank offers mortgage at an APR of 4.2%

APR means annual percentage rate.

mortgage is offered for the period of 15 years.

initial principal amount of Marcy = $120000

we need to determine the monthly payment from United bank.

at first, we will determine the rate of interest per month.

monthly interest rate = (4.2) / (100 × 12) = 0.0035

1 year = 12 months

15 years = 15×12 = 180 months

monthly payment is calculated by the formula = [rate + (rate) / {(1+rate)∧month}⁻¹] ×principal

monthly payment = [ 0.0035 + (0.0035) / {(1+0.0035)∧180}⁻¹] ×120000

                          = $1207.70

from united bank monthly payment = $1207.70

Now we calculate the monthly payment from Capitol bank.

APR for capitol bank = 4.5%

number of years for which mortgage is issued = 25 years

number of months = 12×25 = 300.

monthly interest rate = (4.5) / (100×12) = 0.00375

monthly payment for capitol bank = [0.00375 + (0.00375) / {(1+0.00375)∧300}⁻¹] × 120000

                 = 1834.62

monthly payment from Capitol bank = $1834.62

total interest from Capitol bank = principal money × yearly interest rate × time period.

Total interest = 120000 × 4.5/100× 25

                        = $135000 for the Capitol bank

Total interest from United bank = principal amount × yearly interest × time period

            = 120000× 4.2/100 × 15

total interest from united bank   = $75600

United bank has lower total interest.

difference in monthly payment = 1834.62 - 1207.70

                                                   = 626.92 dollars

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Answer:

64 miles

Step-by-step explanation:

Answer:

150.87 m^2

Step-by-step explanation:

a = r^2 π

a = (6.93)^2 π

a= 150.87

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.

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Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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Answer:

$15.12

Step-by-step explanation:

You need to just search u p 18% of 84 or 84% of 18

Answer:

30 and 10

Step-by-step explanation:

Main concepts:

Concept 1.  Geometric Sequence

Concept 2. Common ratio

Concept 3. Finding the next terms

Concept 1.  Geometric Sequence

Geometric sequences are a specific type of sequence with a pattern where a specific number is multiplied to each term to get the next term.

For instance, a completely different geometric sequence 1,2,4,8,16,... is geometric because you multiply any term by 2 to get the next term.

Concept 2. Common ratio

In a geometric sequence, this number that you can multiply by to get the next term (in the "1,2,4,8,16,..." example, the number 2) is called the common ratio because taking the ratio of two sequential terms of the sequence (dividing two terms in a row) always gives the same answer:

This process of finding ratios will yield a common ratio only if the sequence is a Geometric Sequence.

Concept 3. Finding the next terms

Since we're told that the sequence we're given in the question is a Geometric sequence, it must have a common ratio (otherwise, it wouldn't be a geometric sequence).

Find the common ratio by dividing sequential terms:

270/810 = 1/3

90/270 = 1/3

So, for the sequence in the question, the common ratio is 1/3.  Each term is multiplied by 1/3 to get the next term in the sequence.  (This is equivalent to dividing each term by 3 to get the next term in the sequence, if you prefer division and/or to avoid fractions)

So, to get the next two terms in the sequence, multiply by the common ratio:

90 * 1/3 = 30

30 * 1/3 = 10

So, the next two terms of the sequence are 30 and 10

The total number of copies that the band sold is given as follows:

1.89 x 10^6 copies.

The total number of copies sold is obtained adding the number of copies of each album sold.

The amounts for each album are given as follows:

When we add two numbers in scientific notation, they must have the same exponent, hence we add the bases keeping the exponents, as follows:

(1.3 + 0.59) x 10^6 = 1.89 x 10^6 copies.

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Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer:

no, because the angle measurements would have to be the same

Step-by-step explanation:

Triangle A: 30, 77, 73

Triangle B: 30, 83, 67

△GHD ≅ △EDH by SAS Congruency , so Option A is the right answer.

A triangle is a polygon with three sides , three angles and three vertices.

It is given that

∠GHD and ∠EDH are right

GH ≅ ED Triangles G H D and E D H overlap and intersect at point F.

The triangles share side H D.

Sides G H and E D are congruent.

angles G H D and E D H are right angles.

Given that in triangles GHD and EDH

∠ GHD ≅ ∠ EDH (given)

GH = ED, (given)

side HD=  HD (common side )

△GHD ≅ △EDH (side angle side )

Therefore, the correct option is A

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Answer: Option 1 or A. △GHD ≅ △EDH by SAS

Step-by-step explanation:

Trust me!

If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.

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The velocity for the position function s(t) = -16t² + v₀t + s₀  as per situation is equal to

a. velocity after 3 seconds, v(3) = -120ft /s

b. velocity after falling from 112 feet, v(4.125 ) = -156 ft/s.

Ball is thrown straight down from 483 foot building.

s₀ = 483 foot

Initial velocity v₀ = -24 feet per second

Position function for free falling objects is:

s(t) = -16t² + v₀t + s₀

Differentiate both the side of the equation with respect to 't' we get,

s'(t) = -32t + v₀

s'(t) represents velocity v(t) .

a. Velocity after t = 3 seconds is equal to

⇒ v(t) = -32t + v₀

Substitute the value we get,

⇒ v(3) = -32(3) + (-24 )

⇒ v(3) = -96 -24

⇒ v(3) = -120 ft/s

b. velocity after falling from 112 feet

s(t) = 112 feet

s(t) = -16t² + v₀t + s₀

⇒ 112 = -16t² + (-24 )t + 483

⇒  -16t² + (-24 )t +371 =0

⇒ 16t² + 24t - 371 =0

⇒ t = [-24 ±√24² + 4(16)(371) ] / 2(16)

⇒ t = -5.25 or 4.125 seconds

Time cannot be negative.

t = 4.125 seconds

v(4.125) = -32(4.125) -24

            = -156 ft/s

Therefore , the required velocity for the different time is equal to

a. for t = 3 seconds , v(3) = -120ft /s

b. for t= 4.125 seconds , v(4.125 ) = -156 ft/s

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The above question is incomplete , the complete question is:

A ball is thrown straight down from the top of a 483-foot building with an initial velocity of -24 feet per second. Use the position function below for free-falling objects. s(t) = -16t² + v₀t + s₀

a. What is its velocity after 3 seconds? V(3) = _____ ft/s.

b. What is its velocity after falling 112 feet? V = _____ft/s

Answer:

-21

Step-by-step explanation:

given

To evaluate (h.g(5)), we first need to find g(5) and then apply h to the result.

g(x) = 4x + 3, so g(5) = 4(5) + 3 = 23.

Now we apply h to g(5):

h(g(5)) = h(23) = -(23) + 2 = -21

Therefore, (h.g(5)) = -21.

Answer:

Step-by-step explanation:

To find (h o g)(5), we need to first find g(5), and then evaluate h at that value.

We are given that g(x) = 4x + 4, so we can find g(5) by substituting x = 5:

g(5) = 4(5) + 4 = 24

Now we evaluate h at g(5):

h(g(5)) = h(24)

We know that h(x) = -x + 2, so we can evaluate h(24) by substituting x = 24:

h(g(5)) = h(24) = -(24) + 2 = -22

Therefore, (h o g)(5) = -22.

Answer:

15=teach 10=tutor

Step-by-step explanation:

5/75 = 15

3/30=10

Answer:

it would be 3 tutors and 15 students for each teacher

Step-by-step explanation:

3×30=90 so 30 can go into 110 3 times witch will be 90. next 75÷5=15

The value of the car after 3 years is $79, 000

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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Answer:

∠P is the same as ∠Q .   Angle = 106°

Step-by-step explanation:

Vertical angles

360-74-74= 212

212/2 = 106

- angle EQF and angle PQD are vertical angles, so both are equal.

- angle PQD and angleQPC are same-side interior angles, meaning they are supplementary.

so,

180 - 74 = 106

answer:

106°

Hello,

The reciprocal of these questions are:-

7. 5/3

8. 6

9. 82/9 → 9/82

10. 4/7

11. 8/5

12. 1/16

13. 12/7

14. 5/11

Hope it helps you....

Answered by Benjemin ☺️

✅

Here's a marvellous opportunity for me to share my knowledge! :)

The recipocal of 3/5 is 5/3.

The reciprocal of 1/9 is 9.

The reciprocal of 5/8 is 8/5.

The recipocal of 7/12 is 12/7.

The recipocal of 1/6 is 6.

The reciprocal of 7/4 is 4/7.

The reciprocal of 16 is 1/16.

The reciprocal of 11/5 is 5/11.

I hope this helps You!

The equation is:

So to know that, we can find the intercept in the y axis by replacing x=0 so:

So if you see the functions the only one that intercept the y axis in -4, then the solution is option (D)

Answer: he will need $2.50

Step-by-step explanation: so you need to divide $5 by 2 to get your answer.

Answer:

point a is located Quadrant11

Step-by-step explanation:

Answer:

Need picture to give correct quadrant

Step-by-step explanation:

The mean of the data set is 58.3. The standard deviation of the data set is 10.8.

In descriptive statistics, the standard deviation measures how widely the data points vary from the mean. It describes how values are distributed throughout the data sample and measures how widely apart data points are from the mean.

Sum of all values divided by the number of values.

Mean = ( 64 + 46 + 54 + 47 + 70 + 78 ) / 6

Mean = 58.3

The mean of the data set is 58.3.

The square root of the sum of the difference squared between each value and the mean is divided by the number of values subtracted by 1. So

\(\sigma =\sqrt{\dfrac{(X-\bar X)^2}{n- 1 }\)

\(\sigma = \sqrt{\dfrac{(64 - 58.3)^2+(46 - 58.3)^2+(54 - 58.3)^2+(47-58.3)^2+(70-58.3)^2+(78-58.3)^2}{6-1}\\\)

σ = 10.8

The standard deviation of the data set is 10.8.

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