Lynn has two jobs. She earns $7.50 per hour as the hostess for a restaurant and earns
$10 per hour babysitting for a neighbor.
Part 1
Which inequality represents the number of hours working as a hostess, h, and the
number of hours babysitting, b, that Lynn needs in order to earn at least $150 in one
week?
A. h + b > $150
B. h + b 2 $150
7.5h + 10b > $150
• D
7.5h + 10b $150
e here to search

Answer:

I believe it is x=y^2-7

Step-by-step explanation:

The required equation that can be simplified to find the inverse of y = x² - 7 is x = y² - 7.

An inverse function is a function that undoes the effect of another function.

Here,
To find the inverse of the equation y = x² - 7, we can follow these steps:

So the equation that can be simplified to find the inverse of y = x² - 7 is x = y² - 7.

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Answer:

height = 7 ft

base = 18 ft

Step-by-step explanation:

Area of a Triangle

\(\sf A=\dfrac{1}{2}bh\)

where:

If the base of the triangle is 4 feet more than twice its height, then:

Substitute the given area and the found expression for b into the formula and solve for h:

\(\begin{aligned}\sf A & = \sf \dfrac{1}{2}bh\\\implies \sf 63 & = \sf \dfrac{1}{2}(2h+4)h\\\sf 126 & = \sf (2h+4)h\\\sf 126 & = \sf 2h^2+4h\\\sf 2h^2+4h-126 & = \sf 0\\\sf 2(h^2+2h-63) & = \sf 0\\\sf h^2+2h-63 & = \sf 0\\ \sf h^2+9h-7h-63 & = \sf 0\\ \sf h(h+9)-7(h+9) & \sf = \sf 0\\\sf (h-7)(h+9) & = \sf 0\\\implies \sf h& = \sf 7, -9\end{aligned}\)

As length is positive, h = 7 ft.

Substitute the found value of h into the expression for b and solve for b:

\(\begin{aligned}\sf b & = \sf 2h+4\\\implies \sf b & = \sf 2(7)+4\\& = \sf 14+4\\& = \sf 18\end{aligned}\)

Therefore, b = 14 ft.

The maximum height reached by each stone is 40.5 meters.

The height of each stone above the ocean is given by the function:

h = -2t² + 2t + 40

This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.

The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.

The t-coordinate of the vertex is given as:

t = -b / 2a

Substitute the values of a and b,

t = -2 / (2×(-2)) = 0.5

So the maximum height is reached 0.5 seconds after the stone is thrown.

To find the maximum height, substitute the value of t into the function:

h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters

Therefore, the maximum height reached by each stone is 40.5 meters.

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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.

Step-by-step explanation:

I think 1098 will be the answer because if we multiple the r it will be 1098

Answer:

x = 7

Step-by-step explanation:

What we know:

<GHJ = 112°

<GHK = 4x°

<KHJ = 12x°

<GHJ = <GHK + < KHJ

Plug in the values to isolate x:

112 = 4x + 12x

112 = 16x

112 / 16 = x

x = 7

1) The scatter plot at the right most likely represents the number of siblings a person has and the person’s GPA.

2) The most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up is; 17 gallons

1) Scatter plots are defined as the graphs that present the particular relationship between two variables in a data-set.

A scatter plot is also defined as a chart type that is usually used to observe and visually display the relationship between variables.

From the given scatter plot, we can say that the scatter plot at the right would most likely be used to represent the number of siblings a person has and the person’s GPA.

2) From the given scatter plot, we can see that the x-axis shows the number of days left since filling up while the y-axis represents the gallons of gas.

Now, we want to find out the most reasonable estimate of the gallons of gas in a tank if it has been 3 days since filling up. We will trace 3 on the x-axis and the corresponding value on the y-axis would be approximately 17 gallons.

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Answer:

a) 3 to 4

b) 3 : 4

\(\sf \dfrac{girls }{boys} = \dfrac{3}{4}\)

Notice that girls = 3, boys = 4

So, Ratio of girls to boys can be rewritten as 3 : 4 and 3 to 4

Fractions are usually represented in ratio like

So

here

According to integrative social contracts theory, businesses should base their ethical standards on principles that give local ethical norms precedence over global ethical norms. So the correct option is c.

In the given question, we have to explain according to integrative social contracts theory, what the ethical standards a company should try to uphold.

The subject of business ethics is dynamic. The twelve basic ethical values are: honesty, fairness, leadership, integrity, compassion, respect, responsibility, loyalty, observance of the law, openness, and consideration of the environment.

The ethical standards a company should try to upholds are governed both by (1) a limited number of universal ethical principles that are widely recognized as putting legitimate ethical boundaries on actions and behavior in all situations and (2) the circumstances of local cultures, traditions, and shared values that further prescribe what constitutes ethically permissible behavior and what does not, however, universal ethical norms take precedence over local ethical norms.

Therefore, Option c is correct.

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The right question is given below:

Answer:

461.814 is part A

103.67 is part

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

perimeter = 2(b x L)

p° 2(2+20)

= 22X2 =44cm

area = B x W

a = 20x 2 =40 cm²

Answer:

I hope I helped sorry l didn't understand question number 19

Answer:

1.109

2.264

3.462

Step-by-step explanation:

To know the area of a figure, you would like to know its shape and estimations. The steps to take on how to draw a figure with the use of a ruler and a pencil is given below.

Begin by selecting the kind of figure you need to draw. Make use of a ruler to draw the sides of the figure. Make sure that the lines are straight and have the right length.

E.g. If the figure may be a rectangle or a parallelogram, you wish to create beyond any doubt that inverse sides are parallel to each other. If the figure is triangle, you would like to draw three lines that shows at three distinctive points. At last, name the sides and vertices of the figure.

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Answer:

No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.

^ sample response

sorry that im late on this, but i hope it helps anyone else : )

Answer:

No , Jude’s graph is incorrect . The inequality symbol is “ less than , ” so - 9 is not included . He should have used an open circle on - 9 .

Step-by-step explanation:

sample response on EDGE

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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The three equivalent numerical expressions are  1/32, 0.03125, 3.125 x 10^-2

Using the exponential rules, we can simplify the expressions as:

(2^-3)(2^5)/2^7)

= 2^(5-3)/2^7

= 2^2/2^7

= 1/2^(7-2)

= 1/2^5

= 1/32

Therefore, three equivalent numerical expressions for the given expression are: 1/32, 0.03125, 3.125 x 10^-2

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If the position of a moving object at a time t the curvature of the earth would be 1/4t.

A curved path having various radii of curvature is known as a variable-curvature path. from: 2020 Control Systems Design of Bio-Robotics and Bio-mechatronics with Advanced Applications.

A straight line has zero curvature. In contrast to the tangent, which is a vector quantity, the curvature at a point is often a scalar quantity or one that can be described by a single real integer.

|| r (t) || = 3\(t^{2}\), || r' (t) || = 2t, || T (t) || = 1

|| T' || = 1/2

Curvature K = || T' (t) || / || r' (t)  || = (1/2) / 2t

K = 1/4t

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The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.

Given the equation in the question:

6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31

To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.

Apply distributive property:

6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31

18x + 24 + 4x + 4 + 2 = 22x + 31

Collect and combine like terms on both sides:

22x + 30 = 22x + 31

Next, we want to isolate the variable x on one side.

22x - 22x + 30 = 22x - 22x + 31

30 = 31

However, we notice that the x terms cancel out when subtracted:

30 ≠ 31

This means that there is no solution.

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The angle of elevation is 61.32° approximately to 2 decimal place. And the angle "Alternate angles are equal" tells us that the 61.32° is equal to the angle of depression Y.

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line. While the angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards

We shall represent the angle of elevation with the symbol θ. Using the trigonometric ratio of tangent of the angle θ;

tanθ = opposite/adjacent

tanθ = 320cm/175cm

tanθ = 1.8286

θ = tan^(-1)[1.8286]

θ = 61.32° approximately to 2 decimal place.

Therefore, the angle of elevation at X is equal to 61.32°. And the angle fact which states that Alternate angles are equal tells us the angle of depression at Y is also equal to 61.32°.

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Answer:

54 students

Step-by-step explanation:

45% of 120 is 54

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

In a triangle the sum of two sides is always greater than the third side.

9-9 < x < 9+9

0 < x < 18 ← answer

Answer:

a)  $497.70

b)  392.4 square feet

c)  $1,200

Step-by-step explanation:

A regular octagon has 8 sides of equal length.

Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:

\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)

If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:

\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)

Therefore, the cost of the railing is $497.70.

\(\hrulefill\)

To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:

\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)

Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:

\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)

Therefore, the area of the gazebo is 392.4 square feet.

\(\hrulefill\)

To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:

\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)

Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.

a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:

P = 8s = 8(9) = 72 feet

Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:

Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20

Therefore, the cost of the railing is $4,939.20.

b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:

A = (1/2)(10.9)(72) = 394.56 square feet

Therefore, the area of the gazebo is 394.56 square feet.

c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:

Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68

Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.

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Answer:

a^2 xy+xy-ax^2-ay^2

Step-by-step explanation: