Last year, Jane spent $1,968 for natural gas. This year, she decided to use balance billing. What will her monthly
payment be this year?
A.$164 per month

B.$174 per month

C.$184 per month

9514 1404 393

Answer:

  30

Step-by-step explanation:

The triangle inside the circle is an equilateral triangle, so the central angle is 60°. That angle is one of the acute angles in the right triangle formed by the tangent line. The other acute angle (x°) in that right triangle is the complement of 60°.

  x° = 90° -60° = 30°

  x = 30

Answer:

Steps for How to Transform the Graph of a Cubic Function

Step 1: The standard form of a cubic function is y=a(x−h)3+k y = a ( x − h ) 3 + k , where a indicates a stretch or a shrink, h indicates a vertical shift, and k indicates a horizontal shift.

Step-by-step explanation:

Answer:

B  

y = 0.508 sine (0.212 x minus 1.529) + 0.512

Step-by-step explanation:

just took the test

The solution to the equation x³ + x - 4 = 0 is x = 1.38

From the question, we have the following parameters that can be used in our computation:

x^3 + x - 4 = 0

Express the exponents as proper superscript

So, we have the following representation

x³ + x - 4 = 0

Next, we solve the equation using a graph

i.e. we plot the graph of x³ + x - 4 = 0

See attachment for the graph of x³ + x - 4 = 0

The points where the graph of x³ + x - 4 = 0 crosses the x-axis are the solution

In this case, the point is 1.38

Hence, the solution is x = 1.38

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There are 30 girls and 10 boys

Reflection along y axis

Translation: [tex](x,y) \to (x,y-3)[/tex]  which means we shift 3 units down

===========================================================

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation [tex](x,y) \to (x,y-3)[/tex]

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively.  Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

Answer:

A. 69°

Step-by-step explanation:

Given:

m<FED = 179°

m<NED = 19x - 4

m<FEN = 12x - 3

Required:

m<FEN

Solution:

m<NED + m<FEN = m<FED (angle addition postulate)

19x - 4 + 12x - 3 = 179 (substitution)

Add like terms

31x - 7 = 179

31x - 7 + 7 = 179 + 7

31x = 186

31x/31 = 186/31

x = 6

✔️m<FEN = 12x - 3

Plug in the value of x

m<FEN = 12(6) - 3 = 72 - 3

m<FEN = 69°

Answer:

135

Step-by-step explanation:

:)

Answer:

When you convert them both you get 135

Answer:

Step-by-step explanation:

Answer:

2/6 lol

Step-by-step explanation:

hope this helps :3

Answer:

anything lower than 7 can be substituted for x to make this work

Step-by-step explanation: i tried

Answer:

b

Step-by-step explanation:

i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5

Answer:

Domain is all real numbers (basically any number)

Step-by-step explanation:

Step 1: Simplify the expression first

y = 2(x+1)-(3x-2)

y = 2x + 2 -3x + 2

y = -x + 4

Step 2: Observe the graph

y = -x + 4 is simply a linear graph with a negative fixed gradient of -1, with a y-intercept of 4.

Step 3: Identify the domain

For linear graphs, domain is all real numbers.

(No restrictions on the graph according to question)

Answer:

15,000 feet cubed

Step-by-step explanation:

15 x 15 = 225

10 x 15 = 150

150 / 2 = 75

225 = 75 = 300

300 x 50 = 15,000 feet cubed

Answer:

15000 ft^3

Step-by-step explanation:

You said you just wanted the answer so I won't explain in depth but let me know if you want an in depth explanation.

15*15=225

225*50= 11250

10*15=150

150/2=75

75*50=3750

11250+3750= 15000

Answer: 15000ft^3

Answer:

Step-by-step explanation:

Certainly! To set up the problem, we can consider the owner-manager's utility as a function of two variables: income (profit) and charitable contributions or civic expenditures. Let's call these variables x and y, respectively.

The owner-manager utility is given by the function U(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

The cost of obtaining this utility is given by the function C(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

To find the lowest possible cost at which the owner-manager can obtain a specific level of utility, we can use the following optimization conditions:

The cost function C(x,y) should be minimized subject to the constraint U(x,y) = k, where k is the specific level of utility that the owner-manager wishes to achieve.

The first-order necessary conditions for a minimum are:

∂C/∂x = λ ∂U/∂x

∂C/∂y = λ ∂U/∂y

where λ is a Lagrange multiplier.

These conditions are known as the Karush-Kuhn-Tucker (KKT) conditions.

These optimization conditions differ from the utility-maximizing conditions in that we are minimizing the cost function instead of maximizing the utility function. In addition, we have the constraint U(x,y) = k, which means that we are trying to achieve a specific level of utility rather than trying to maximize it.

The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

A line's slope determines how steep it is. A mathematical expression for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two points. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is used to represent it. The y-intercept is located at a point where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

for parallel their slope will be equal

y1= 1x/2 + 3/8 .... eq1

y2= kx/4 + 5k/4  ..... eq2

y1 = y2

1x/2 + 3/8 = kx/4 + 5k/4

1/2 + 3/8 = k/4 + 5k/4

7/8 = 6k/4

k = 7/12

for perpendicular product of their slope is 1

y1 * y2 = 1

1x/2 + 3/8 * kx/4 + 5k/4 = 1

1/2 + 3/8 * k/4 + 5k/4 = 1

k = 1/21

so The values of k for parallel and perpendicular in the equations 8y=4x+3 and 4y=k(x+5) are 7/12 and 1/21, respectively.

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Answer:

7 times with 1 left over

Step-by-step explanation:

29/4=7

(28)

Remainder 1

Answer:

The acres of each the farmer must plant to obtain the maximum profit is:

Step-by-step explanation:

First, we're gonna take the data of the exercise:

Now, we're gonna suppose that all the area could be planted with corn (the most profitable), in this form, we obtain the highest profit to take this how reference:

How you can see, $9600 is the highest profit that the farmer can obtain, but, as each acre of corn needs 2 hours, the farmer would need 480 hours of labor to plant all the area with corn, with the 320 hours availables, the farmer just could plant 160 acres of corn, therefore, the real profit would be:

Now, we're gonna make the same exercise but with the oats, to obtain the total profit with this:

Taking into account the hours of labor availables, the oat gives $800 more profit than the corn, but in that case we'd lose 80 hours of labor that could be used to make a better profit, but, as the oat per hour of labor is more profitable, we're gonna use 2/3 of the area to plant oat and 1/3 to plant corn:

How you can see, with 160 acres of oat, the farmer would need 160 hours of labor and, with 80 acres of corn, the farmer would need 160 hours of labor too, by this, we know all the available time will be used, now, we're gonna calculate the profit in each case:

The total profit to the farmer with this plan is:

The profit with the given plan is $8000, that is better than the profit only with oat or corn separately and, this is the maximum profit the farmer can make.

The amount that her clothes weigh more than her books would be = 57kg

The amount for the shipping cost for her school would be = 5600+25400 = $31000

Postal service is the type of service that helps.in the delivery of goods from one location to another when the goods are properly registered.

The mass of Moya's books = 70 kilograms

The mass of Moya's clothing = 127 kg

The difference between the bothe masses = 127 - 70 = 57kg

The cost per kg for books = $80 per kg

The cost per kg of clothing = $200

Therefore, the amount for the shipping cost for her school would be = (70×80) + (127 ×200)

= 5600+25400 = $31,000.

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Answer:

H 28.26 mm

Step-by-step explanation:

2.0.8625

3.9.3625

4.168.75

5.smaller than

6.greater than

7.greater than

8.smaller than

9.greater than

10.smaller than

Answer:

1 38888888889/50000000000

Step-by-step explanation:

The answer to the first part equation is 1080 ( 3*15*24). The answer to the second question ( 16*20*6) is 1920. Then you divide 1920/ 1080= 1 38888888889/50000000000

Answer: [tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex], [tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]

Step-by-step explanation:

Given

[tex]\sin x-\sqrt{1-3\sin^2x}=0[/tex]

Take the square root term to the right-hand side

[tex]\Rightarrow \sin x=\sqrt{1-3\sin^2x}\\\text{Squaring both sides}\\\Rightarrow \sin^2x=1-3\sin^2x\\\Rightarrow 4\sin^2x=1\\\\\Rightarrow \sin^2x=\dfrac{1}{4}\\\\\Rightarrow \sin x=\pm\frac{1}{2}[/tex]

for

[tex]\sin x=\dfrac{1}{2}[/tex]

[tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex]

for

[tex]\sin x=\dfrac{-1}{2}[/tex]

[tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]

Answer:

<5=39

Step-by-step explanation:

<2=48

<3=93

<2 and <4 are equal to each other because they are alternate interior angles

93+48=141

180-141=39

Answer:

∠5 = 39º

Step-by-step explanation:

∠1 + ∠2 + ∠3 = 180

∠1 + 48 + 93 = 180

∠1 = 180 - 48 - 93

∠1 = 39

Corresponding angles are congruent

∠5 = ∠1

∠5 = 39º

Answer:

sorry

Step-by-step explanation:

Answer:

M<3 is 49 degrees, M<4 is 131 degrees  

Step-by-step explanation:  

This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees  

First, we know that M<1 and M<2 added together is 180. We know M<1 is 11x-38 and M<2 is 19x+8, so then, we have:

(11x-38) + (19x+8) = 180

30x - 30 = 180

30x = 210

x = 7

Now, we plug in 7 for x to find M<1 and M<2.

M<1 is (11x-28), so it would be 49 degrees.

M<2 is (19x+8), so it would be 131 degrees (or just do 180-49).

Now, we can find M<3 and M<4 easily. M<3 and M<2 are supplementary, so 131 + M<3 must equal 180. Thus, M<3 is 49.

M<4 and M<1 are supplementary, so 49 + M<4 must equal 180. Thus, M<3 is 131.

AN EASIER WAY TO FIND M<3 AND M<4:

Vertical angles are angles directly opposite each other, created by two intersecting lines. A pair of vertical angles holds the same degree measurements. In this problem, M<2 and M<4 are a pair of vertical angles, and M<3 and M<1 are a pair. Thus, M<2 and M<4 must are the same degree and M<3 and M<1 must are the same degree. Thus, if M<2 is 131, M<4 is 131 degrees as well. If M<1 is 49 degrees, M<3 is 49 degrees as well.  

There are two ways of finding the volume of a pyramid.

1. [tex]\large\tt V =\frac{lwh}{3}[/tex]

Therefore, the volume of a pyramid is 13.33in³

2. [tex]\large\tt V = \frac{Bh}{3}[/tex]

Where [tex]\longrightarrow\tt B = l \times w[/tex]

[tex]\longrightarrow\tt B = 4in \times 2in[/tex]

[tex]\longrightarrow\tt B = {8in^2}[/tex]

Therefore, the volume of a pyramid is 13.33in³