Solve the equation -3h + 6 = -15 for h.

A. -10
B. -8
C. -7
D. 7

Answer:

25 Balls

Step-by-step explanation:

Answer:-15

Step-by-step explanation:

Answer:

The answer is: she would need to descend 49 more meters to reach the ocean floor.

Step-by-step explanation:

All you have to do to find the answer is subtract the number of meters she already dived from the number of meters the ocean floor is from the surface of the water. This makes the equation 71 - 22 = ? which equals 49. So she would need to descend 49 more meters to reach the ocean floor.

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

The following data relates the time a student spends on an online test with the final score: (8 points, 20 minutes), (22 points, 40 minutes), (33 points, 58 minutes), (38 points, 120 minutes). Use your TI83 to determine the linear regression equation, and choose the best response below a. Points = -9.3(minutes) +0.26

Step-by-step explanation:

That's literally it hehe

Class 1 wiring is required to exceed standards for power and lighting wiring. Class 3 wiring is functionally similar to Class 2 wiring, but with higher voltage and power limitations.

It should be noted that a Class 2 circuit associated with the electrical equipment that is part of a residential oil furnace, for example, usually receives power from a 24-V transformer whose primary connects to a 120-V premises branch circuit.

In conclusion, a class 1 must sit in metal or non-metallic raceway or be metal-sheathed wiring as compared to jacketed cable such as type NM.

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Electricians know about Class 1, 2, and 3 wiring because these terms are spelled out in the National Electrical Code. Electronics engineers, however, tend to be in the dark about these terms. So here is a short primer on classes of wiring for the curious.

The NEC in Article 725 makes a sharp distinction between wiring for “ordinary” power and light circuits and specialized circuits where the power and/or voltage is limited. These circuits are designated Class 1, 2 and 3, not to be confused with the Class I, II and III hazardous locations – an entirely different matter. Class 1, 2 and 3 circuits are defined primarily in terms of the power supply to which they are connected. Power supplies are generally batteries, transformers or electronic power supplies. When working on an existing installation, it is a simple matter of identifying the power source and checking its marking. A Class 2 circuit associated with the electrical equipment that is part of a residential oil furnace, for example, usually receives power from a 24-V transformer whose primary connects to a 120-V premises branch circuit. The relatively high impedance of this small device ensures that its voltage and power output will be in the Class 2 range. Such a device will be marked as suitable as a Class 2 power source. Describe how the results from Class 1, Class 2, and Class 3 differ.

Answer:

48

Step-by-step explanation:

480x0.1=48

Your answer is

12y⁹

Hope it helps you

Answer:

\(12y^{9} \)

Step-by-step explanation:

\(( 2y^{7})(6y^{2} )\)

\((6 * 2)(y^{7+2} )\)

\(12y^{9} \)

so the answer is B) \(12y^{9} \)

Answer:

3.

Step-by-step explanation:

Since there are 11 family members and only 4 people fit in a car, they will have to take 3 cars.

4 x 3 = 12,

Also, even though there is going to be 1 seat extra you cannot squeeze 3 people in. Ps. (Just a safety note) In real life it is illegal to drive with extra passengers in a vehicle.

Hope that helps. x

Answer:

3

Step-by-step explanation:

3×4=12 so will still have one vacant seat on one of the cars

Answer:

I believe the answer is 7 pages for 6 postcards on each page

Step-by-step explanation:

I believe the correct answer is 7 pages because

7×6=42

7 pages, 6 cards, and 42 postcards

So for Abner to scrapbook 42 cards for every 6:1 pages he will need 7 pages.

Step-by-step explanation:

50% interest annually.

that means he gets 50% interest of the invested capital every year.

and that means he gets 50% of $70 in one year.

70 = 100%

1% = 100%/100 = 70/100 = $0.70

50% = 1%×50 = 0.7 × 50 = $35

he will earn $35 interest in one year.

as you noticed: 50% simply means 1/2 (as 100% stands for the whole).

The principal if the bank manager also wants to advertise that one can earn $10 the first month is $4000.

From the information, the simple interest is $10 and the rate is illustrated as 3%.

The formula for the simple interest in a month is illustrated as:

S = (p × r × t/12 / 100)

r = rate

t = time

S = interest

Place the values in the formula:

10 = p × 3 × 1 / 100 × 12

10 = 3p/1200

Cross multiply

3p = 12000

Divide

p = 12000/3

p = 4000

The principal is $4000.

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Answer:

720 m^2

Step-by-step explanation:

Solution:

The formula for the surface area of a triangular prism is:

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)L + bh

where,

Given:

side 1 (S1) : 5 m

side 2(S2): x m

side 3(S3): 12 m

length (l)=22m

Here we need to find side 2, we can easily find it using Pythagoras' theorem.

a^2+b^2=c^2

5^2+12^2=x^2

x^2=169

x=\(\sqrt{169}=13 m\)

therefore, side 2 is 13 m.

Substituting value in the formula

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)L + bh

Surface Area=(5+13+12)*22+5*12= 720 m^2

Answer:

720 m²

Step-by-step explanation:

The given diagram shows a triangular prism.

A triangular prism consists of two congruent triangular bases and three rectangular faces connecting these bases.

To calculate the surface area of the triangular prism, we first need to calculate the length of the hypotenuse of the right triangular base. To do this, we can use Pythagoras Theorem:

\(\begin{aligned}\sf Hypotenuse\;of\;triangular\;base&=\sqrt{5^2+12^2}\\&=\sqrt{25+144}\\&=\sqrt{169}\\&=13\; \sf m\end{aligned}\)

The surface area of a triangular prism is the sum of the areas of all its faces. Therefore:

\(\begin{aligned}\sf Total\;surface\;area&=2\left(\dfrac{1}{2} \cdot 5 \cdot 12\right)+12\cdot 22+5 \cdot 22+13 \cdot 22\\\\&=60+264+110+286\\\\&=720\; \sf m^2\end{aligned}\)

Therefore, the total surface area of the given triangular prism is 720 m².

The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.

To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.

Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.

y = -9x + b

Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:

-1 = -9(0) + b

-1 = b

Therefore, the y-intercept (b) of the perpendicular line is -1.

Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:

y = -9x - 1

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Answer:

B

Step-by-step explanation:

All that they were asking for is what is given to you, so B would be right

Answer: quit

Step-by-step explanation:

Answer:

c. -20x and 20x

Step-by-step explanation:

x² is the square of x.

100 is the square of 10 and of -10.

The middle term of (a + b)² is 2ab.

For b = 10:

2ab = 20x

for b = -10:

2ab = -20x

Answer: c. -20x and 20x

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

For exponential equation a^1/n = r option D is true i.e. r^n=a.

What are exponential equations?

Exponents are used in exponential equations, as the name implies. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. But what happens if a number is variable? When the power is a variable in an equation, it is referred to as an exponential equation.

For example, 3^x = 81, 5^x - 3 = 625, 62^y - 7 = 121, etc are some examples of exponential equations.

Exponential equations are classified into three categories. These are :

As given,

                 a^1/n=r

Now we take 1/n from left side of exponential equation to right side i.e.

      a=r^n   (As a^1/2 = 4 ---> a=4^2)

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Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

Answer:

k=4

Explanation:f(x)=x3+4x2−kx+1By the remainder theorem, the remainder when dividing a polynomial f(x)by (x−a)

is f(a)In our case, we have a=−1 and we need:0=f(−1)=(−1)3+4(−1)2−k(−1)+10=f(−1)=−1+4+k+10=f(−1)=k+4

Hence k=−4

might have gotten it wrong sorry if so.

Answer:

$2,475

Step-by-step explanation:

Given that :

Worth of IRA retirement = $9900

Alonzo's tax bracket = 25%

Amount to be paid as tax upon withdrawal :

25% * $9900

0.25 * $9900

= $2,475

Answer:

170°

Step-by-step explanation:

180 - 10 = 170

Step-by-step explanation:

This is the second fundamental theorem of calculus.

d/dx ∫ₐᵇ f(x) dx = f(b) (db/dx) − f(a) (da/dx)

This is derived using chain rule:

d/dx g(f(x)) = g'(f(x)) f'(x)

Therefore:

d/dx ∫₀²ˣ arctan(t) dt = arctan(2x) (2x)' = 2 arctan(2x)

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Step-by-step explanation:

please see the attached picture

The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

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When \(x\) approaches infinity, the function's graph moves closer to the x-axis and horizontal equilibrium point at \(y = 3\). For \(x -2\), which is denoted by such an open ring at \((-2, 3)\) on the graph, the function is undefined.

A graphs is a pictorial display or diagram that displays facts or numbers in an organized way in math. The relationships between multiple things are frequently represented by the points on a graph.

The graph is a mathematics structure made up of a collection of points Coordinates and a set of lines connecting some pairs of VERTICES that may or may not be empty. There is a chance that the edges will be directed, or orientated.

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Answer: 25 Feet.

Step-by-step explanation: 1,250 % 50.