Which of the following values are solutions to the inequality 9 < -10 – 4x?

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

x=8 or the number equals 8

Step-by-step explanation:

7x+23=79

Subtract 23 from both sides: 7x=56

Now divide 7 from both sides to find the number: x=8

Answer: His answer is right i took the test and it right

8

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

x - .14x = 129

.86x = 129   Divide both sides by .86

x = 150

Answer:

1. " second picture"

2. The graph of h(x) is shown below.

Step-by-step explanation:

The given function is

h(x)=7\sin xh(x)=7sinx

The general form of sine function is

f(x)=a\sin(bx+c)+df(x)=asin(bx+c)+d

Where, a is amplitude, b is period, c is phase shift and d is vertical shift.

So, the amplitude of the given function is 7, period is 1, phase shift is 0 and vertical shift is 0.

It means the minimum value of function is -7 and maximum value is 7.

Put x=0 in the given function.

h(x)=7\sin (0)=7(0)=0h(x)=7sin(0)=7(0)=0

Put x=-\frac{\pi}{2}x=− 2ππ in the given function.

h(x)=7\sin (-\frac{\pi}{2})=-7(1)=-7h(x)=7sin(−2π )=−7(1)=−7

Put x=\frac{\pi}{2}x= 2π in the given function.

h(x)=7\sin (\frac{\pi}{2})=7(1)=7h(x)=7sin( 2π )=7(1)=7

Therefore the points on the function are (0,0), (-\frac{\pi}{2},-7),(\frac{\pi}{2},7)(− 2π ,−7),( 2π,7) .

The graph of function is shown below.

"Hope this helps"

Answer:

Step-by-step explanation:

maximum is at 7, minimum is at -7, midline is at pie

Answer:

A. F^1(x) = x/7

Step-by-step explanation:

\(y = 7x \\ x = 7y \\ \frac{x}{7} = \frac{7y}{7} \)

\(y = \frac{x}{7} \)

Therefore the inverse is

\(f {}^{1} = \frac{x}{7} \)

Use the change-of-base identity and the exponent property for logarithms.

\(\log_b(a) = \dfrac{\log_c(a)}{\log_c(b)} \implies \log_b(a) = \dfrac1{\log_a(b)}\)

\(\log_c(a^b) = b \log_c(a)\)

This lets us rewrite

\(\log_{(k+1)^{2k-1}} (k+2)^{2k} = \dfrac{2k}{\log_{k+2}(k+1)^{2k-1}} = \dfrac{2k}{(2k-1) \log_{k+2}(k+1)}\)

\(\log_{(k+2)^{2k-1}} (k+1)^{k^2} = \dfrac{k^2}{\log_{k+1} (k+2)^{2k-1}} = \dfrac{k^2}{(2k-1) \log_{k+1}(k+2)}\)

It follows that

\(a_k = \dfrac2k \dfrac{\log_{k+2}(k+1)}{\log_{k+1}(k+2)} = \dfrac2k \left(\ln^2(k+1)}{\ln^2(k+2)}\)

so that the product of \(a_k\) telescopes:

\(\displaystyle \prod_{k=1}^{n-1} a_k = \frac{2^{n-1}}{(n-1)!} \frac{\ln^2(2)}{\ln^2(3)}\cdot\frac{\ln^2(3)}{\ln^2(4)}\cdot\frac{\ln^2(4)}{\ln^2(5)} \cdots \frac{\ln^2(n-1)}{\ln^2(n)} \cdot \frac{\ln^2(n)}{\ln^2(n+1)} \\\\ ~~~~~~~~ = \frac{2^{n-1}}{(n-1)!} \frac{\ln^2(n+1)}{\ln^2(2)}\)

We can similar reduce the coefficient of \(P_n\) to write

\(\log_{(n+1)^{2n-1}}(2^{2n}) = \dfrac{2n}{(2n-1) \log_2(n+1)}\)

\(\log_{2^{2n-1}}(n+1)^{n^2} = \dfrac{n^2}{(2n-1)\log_{n+1}(2)}\)

\(\implies \dfrac{\log_{(n+1)^{2n-1}}(2^{2n})}{\log_{2^{2n-1}}(n+1)^{n^2}} = \dfrac2n \dfrac{\ln^2(2)}{\ln^2(n+1)}\)

Then the expression for \(P_n\) reduces significantly to

\(P_n = \dfrac2n \dfrac{\ln^2(2)}{\ln^2(n+1)} \cdot \dfrac{2^{n-1}}{(n-1)!} \dfrac{\ln^2(n+1)}{\ln^2(2)} = \dfrac{2^n}{n!}\)

and we ultimately find

\(\displaystyle \sum_{n=2}^\infty P_n = \sum_{n=0}^\infty \frac{2^n}{n!} - \frac{2^1}{1!} - \frac{2^0}{0!} = \boxed{e^2 - 3}\)

where we recall the power series

\(\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!}\)

Hope this helps!

Step-by-step explanation:

75+5=80

80/2=40

so one box holds 40 matches

if A woman has 2 boxes of matches. She uses 5 matches and has 75 matches left then the number of matches were in the box are 40.

Two or more expressions with an Equal sign is called as Equation.

Given that A woman has 2 boxes of matches.

She uses 5 matches and has 75 matches left.

The total number of matches are 5 +75

Five plus seventy five is equal to eighty.

The total number of sticks from two boxes are 80.

We need to find the number of sticks in one box.

To find this we have to divide 80 by 2

80/2

40 matches

Hence, if A woman has 2 boxes of matches. She uses 5 matches and has 75 matches left then the number of matches were in the box are 40.

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Answer:

The answer is

Step-by-step explanation:

The mass of a substance when given the density and volume can be found by using the formula

From the question

volume of ethyl alcohol = 200 mL

density = 0.789 g/mL

The mass is

mass = 200 × 0.789

We have the final answer

Hope this helps you

Answer:

0-y=3/4(x-2)

Step-by-step explanation:

Answer:

(5,100)

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

That's an equilateral triangle therefore all sides and angles are the same.

Answer:

87/10

is already in the simplest form. It can be written as 8.7 in decimal form (rounded to 6 decimal places).

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 87 and 10 is 1

Divide both the numerator and denominator by the GCD

87 ÷ 1

10 ÷ 1

Reduced fraction:  

87 /10

Therefore, 87/10 simplified to lowest terms is 87/10.

Hope this helps!

I like to think of it like: 50% of 180 is 90, 25% of 180 is 45, so then 5% must be 9. So just kind of find half and then half again until you have an easier number to work with.

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

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The correct statement regarding the measure of variability used to represent the data is given as follows:

The IQR of 10 is the most accurate to use, as the data is skewed.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

It is the measure of variability to be used when a data-set contains outliers, or is skewed, as is the case for this problem.

The charity received 18 donations, hence the quartiles are given as follows:

Hence the IQR is given as follows:

IQR = 22.5 - 12.5

IQR = 10.

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Answer:

First Question:

A) -15+20x B) 36x+28

Second Question:

-10/5, 1/25, 1/2, 3/5, 5/8

Answer:

x intercept: (-8,0)

y intercept: (0,2)

The constant of variation (k) for the inverse variation represented by the ordered pair (4, 5) is 20.

To find the constant of variation in an inverse variation, we can use the formula:

k = xy

where x and y are the coordinates of the ordered pair.

Given the ordered pair (4, 5), we can substitute the values into the formula:

k = 4 ( 5)

k = 20

Therefore, the constant of variation (k) for the inverse variation represented by the ordered pair (4, 5) is 20.

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Answer:

x = 99

Step-by-step explanation:

Since x is on a straight line the adjacent angle and x must equal 180. We will call this adjacent angle B. The angle to the right of B also is on a straight line.

So,

180 - 123 = the inside angle             Simplify

57

The addition of a triangles interior angles equals 180

180 = 42 + 57 + B                              Move variables to one side

180 - (42 + 57) = B                             Simplify

81 = B

Now we can solve for X

180 - 81 = x                                        Simplify

99

The evaluation of the functions using piecewise function gives:

f(-9) =  8

f(0) =  2

f(6) =  7

f(-6) =  4

f(3) =  4.5

f(9) = -6

To evaluate the functions using piecewise function, we have to the condition they satisfy. That is:

For f(-9), x = -9. Thus, x≤ -6. So use f(x) = (-4/3)x - 4 to evaluate f(-9). That is:

f(-9) =  (-4/3)*(-9) - 4

f(-9) =  8

For f(0), x = 0. Thus, -6 x ≤ 6. So  use f(x) = (5/6)x + 2 to evaluate f(0). That is:

f(0) = (5/6)*0 + 2

f(0) =  2

For f(6), x = 6. Thus, -6 x ≤ 6. So use f(x) = (5/6)x + 2 to evaluate f(6). That is:

f(6) = (5/6)*6 + 2

f(6) =  7

For f(-6), f(x) = (-4/3)x - 4:

f(-6) = (-4/3)*(-6) - 4

f(-6) =  4

For f(3), f(x) = (5/6)x + 2:

f(3) = (5/6)*3 + 2

f(3) =  4.5

For f(9), x = 9. Thus, x > 6. Use f(x) = -2x + 12:

f(9) = -2*9 + 12

f(9) = -6

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The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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Answer:

3

Step-by-step explanation:

Chocolate-caramel

Carmel- strawberry

Chocolate-strawberry

That’s 3 ways.

Answer:

FH ≈ 6.0

Step-by-step explanation:

Using the sine ratio in the right triangle

sin49° = \(\frac{opposite}{hypotenuse}\) = \(\frac{FH}{FG}\) = \(\frac{FH}{8}\) ( multiply both sides by 8 )

8 × sin49° = FH , then

FH ≈ 6.0 ( to the nearest tenth )

Answer:

6

Step-by-step explanation:

sin = opposite/hypotenuse

opposite = sin * hypotenuse

sin (49) = 0,75471

opposite = 0,75471 * 8 = 6,037677 = 6

Answer:

672 sq cm

Step-by-step explanation:

Each triangular base is 1/2 (12 * 8) or 48, making them = 96.

One of the sides is 12 x 18 = 216

The other 2 sides are 10 x 18 = 180 x 2 = 360

Add them all together to get 672 sq cm

Answer:

Yes, they lie on the line NP

Answer:

they lie in the line MO

Step-by-step explanation:

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.