16. Write the inequality that is shown on the graph.

Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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Answer:

-1.6875

Step-by-step explanation:

I'm not exactly what sure to put here as a explanation, but if you use a calc, you can see. Divide 11/16.

We can write -1 \(\frac{11}{16}\) as a decimal number as → -1.69.

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

Given is to write -1 \(\frac{11}{16}\) as a decimal number.

We can write -1 \(\frac{11}{16}\) as a decimal number as -

{x} = -1 \(\frac{11}{16}\)

{x} = - (16 x 1 + 11)/16

{x} = - 27/16

{x} = - 1.69

Therefore, we can write -1 \(\frac{11}{16}\) as a decimal number as → -1.69.

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16 is the number which is one-fifth of a number when one-fourth of that same number is 20.

As per the given data:

One-fourth of the number is resulted to 20.

Here we have to determine the result of one-fifth of the same number from the given options.

An expression for a portion of a whole is a fraction.

For any real numbers, the fractional component of x is defined.

Let the number be X.

One-fourth of a number is 20 which means:

Multiply the one-fourth fraction with an unknown number which results in the number 20.

\($\frac{1}{4}\)  (X) = 20

X = 20 × 4

X = 80

Now we have to determine that one-fifth of the same number.

Multiply the one-fifth fraction by 80.

We get:

= \($\frac{1}{5}\) (80)

= \($\frac{1}{5}\)   × 5 × 16

= 16

One-fifth of the number 80 is 16

Therefore Option (D) - 16 is the correct answer.

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Answer:

Step-by-step explanation:

The equation you provided is LM = 2, MO = 1, LN = x+1, NP = x.

The equation states that LM (the measure of angle LM) is equal to 2, MO (the measure of angle MO) is equal to 1, LN (the measure of angle LN) is equal to x+1, and NP (the measure of angle NP) is equal to x.

To find the value of x, you can use the equation LN = x+1 and NP = x,

x+1 = x

So x=1.

Therefore, the measure of angle LN is x+1 = 1+1 = 2, and the measure of angle NP is x = 1.

Answer:

Step-by-step explanation:

base area=41.57 in²

height=9 in

volume=41.57×9=374.13 in³

Step-by-step explanation:

\( - \frac{3}{2} < 3x\)

\(3x > - \frac{3}{2} \)

\(x > - \frac{3}{2} \div 3\)

\(x > - \frac{1}{2} \)

The graph of g(x) = (x-4)3+5 compare to the parent function f(x) is g(x) is shifted 4 units to right and 5 units up.

What is transformation of function?

Transformation of functions means that the curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects". For example, the graph of the function f (x) = x 2 + 3 is obtained by just moving the graph of g (x) = x 2 by 3 units up.

Given,

function g(x) = (x − 4)3 + 5 and compares to function f(x) = x3,

The graph of g(x) = (x-4)3+5 compare to the parent function f(x) is g(x) is shifted 4 units to right and 5 units up.

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Answer:

Pizzas are $15

Sandwiches are $8

Step-by-step explanation:

Write a system of equations

Pizza = x

Sandwiches = y

2x + 4y = 62

4x + 10y = 140

Isolate a variable in one of the equations

2x = 62 - 4y

x = 31 - 2y

Plug isolated x value into other equation

4(31-2y) +10y = 140

124 - 8y + 10y = 140

Simplify

2y = 16

y = 8

Plug y value into equation to solve for x

2x + 4(8) = 62

2x + 32 = 62

2x = 30

x = 15

Answer:

YOUR WELCOME

\(\:\)

y = 3x − 1

Using the slope-intercept form, the slope is 3.

m = 3

The conversion is given as 1, 760 feet per second

We need to convert 20miles per hour to feet per second

First, we should convert miles to feet

1 mile = 5280 feet

Then,

20 miles = x

Cross multiply

20 × 5280 = x

x = 105, 600

Per hour = I hour = 60 seconds

To find the conversion, we divided the conversion to feet by that of the time

= 105, 600/60

= 1, 760 feet per second

Thus, the conversion is given as 1, 760 feet per second

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Answer:

141.4

Step-by-step explanation:

i think

The leading team scored 27.43 points  per game in basket ball game.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The points scored by current leader in 77 basket ball game = 2112,

And the points scored by second place player in 74 game = 2020.

The point scored by players in one match, use ratio property,

By current leader,

Points scored in 77 games = 2112

points scored in 1 game = 2112/77 = 27.43

By second place leader,

Points scored in 74 games = 2020,

Points scored in 1 game = 27.3

The leading team scored 27.43 points per game.

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The Robbins Corporation's tax liability for the year is $99,080.

The firm's average tax rate is 33.04%. The firm's marginal tax rate is 39%.

Net income = (Sales - Cost of goods sold - Interest - Operating expenses - Depreciation + Dividend income - Dividends paid) = $297,000

Taxable income = Net income - Dividend income

= $297,000 - $43,000

= $254,000

Tax liability = Taxable income * Marginal tax rate

= $254,000 * 39%

= $99,080

Average tax rate = Tax liability / Net income

= $99,080 / $297,000

= 33.04%

Marginal tax rate = Highest marginal tax rate for taxable income = 39%

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Answer:

1/20 and 0.05 :)

Step-by-step explanation:

The area of a shaded region is the amount of space it occupies

The measurement that is closest to the area of the shaded region is 19 square inches

Start by calculating the area of the big rectangle.

Assume the dimensions of the rectangle are 10 by 15 inches.

The area would be

\(A_1 =10* 15\)

\(A_1 = 150 in^2\)

Next, calculate the area of the small rectangle.

Assume the dimensions of the rectangle are 13 by 10 inches.

The area would be

\(A_2 =13* 10\)

\(A_2 =130 in^2\)

Next, calculate the difference between both areas

\(d = 150 - 130\)

\(d = 20\ in^2\)

19 is the closest to 20

Hence, the measurement that is closest to the area of the shaded region is 19 square inches (using the assumed values)

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Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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Answer:

a.) .95

b.) The expected number of baskets is 10.50.

c.) 1.7748

Step-by-step explanation:

a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.

b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.

c.) The standard deviation of a binomial distribution can be calculated by the formula \(\sqrt{(sample size)(probability)(1-probability)}\). Plugging in the numbers you get \(\sqrt{(15)(.7)(.3)}\)=1.7748.

A. The probability of more than 7 throws is 0.95,

B.  The player expects to make it he takes 15 shots at 10.50,

C. The standard deviation of the number of successful free throws out of 15 total of 1.775.

The probability of exactly x successes on n repeated trials in an experiment with two possible outcomes, also known as a binomial experiment, is referred to as binomial probability.

The binomial probability is ⁿCₓpₓ(1 - p)ⁿ⁻ˣ if the probability of success on an individual trial is p.

In this case, the number of distinct combinations of x objects chosen from a set of n objects is shown by ⁿCₓ. A few course readings utilize the documentation (ⁿₓ) rather than ⁿCₓ.

Keep in mind that if p is the probability of a single trial's success, then (1p) is the probability of a single trial's failure.

Given the probability of free throws at 0.7

total free throws 15

Let x be the random variable

A.  the probability that he will make more than 7 throws

p(x > 7)

ⁿCₓpₓ(1 - p)ⁿ⁻ˣ

where n = 15, x = 8

¹⁵C₈(0.7)⁸(0.3)⁷

0.94998 = 0.95

B:  player expect to make it he takes 15 shots

E(x) = n x p(x)

E(x) = 15 × 0.7 = 10.50

C:  The standard deviation

variance = n x p x q

variance = 15 x 0.7 x 0.3 = 3.15

SD = √(variance) = √(3.15)

SD = 1.77482 ≈ 1.775

Hence the probability that he will make more than 7 throws is 0.95,

the player expects to make it if he takes 15 shots is 10.50,

The standard deviation is 1.775.

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Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

the right choice is C

you use c^2=a^2+b^2

where the largest side is the hypotenuse

Answer:

C.

a triangle with sides measuring 20, 21, and 29

Step-by-step explanation:

As, √(20)²+(21)² = √400+441 = √841 = 29

The longest side is taken as the hypotenuse. So 29 is the hypotenuse. Which by using Pythagoras' theorem gives us 29 ( h=√b²+p² )

\(4^{2}=3*a\\16=3a\\a=5\frac{1}{3}\)

The volume of the cake can be calculated as:

Volume = length * width * deep

So, replacing the values, we get:

Volume = 4.03 * 9.00 * 2.12

Volume = 76.8924 cubic inches

Answer: 76.9 cubic inches

Answer:

Eve is 46 and her son is 23

Step-by-step explanation:

let x be the son's age then Eve is 2x. the difference in their ages is 23 , so

2x - x = 23 , that is

x = 23

then

Eve = 2 × 23 = 46 years

son = 23 years

The 5 life examples are:

In all these life examples that are listed above, the number 100 is divided by 20 giving 5 as the result. which is said to be:

100/20

= 5.

Therefore, reason behind this is that the number 20, in these life examples, is a representative of a whole value and the number 5 represents the number of parts it is being divided into, so when you multiply 20 by 5, you get 100, which represents the total of these five parts. So, 100 is related to 20 in this context as the multiple of 20 and 5.

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Answer:

28 "cut & styles"

Step-by-step explanation:

The amount for a haircut and style,

→ x = $41

The money she wants for her savings,

→ y = $1140

The number of "cut & styles" she must do to save $1,140 per month is,

→ y/x

→ 1140/41

→ 27.8048780488

→ ≈ 28 "cut & styles"

Hence, she must do 28 "cut & styles".