Find the surface area of a triangle prism side of the right triangular base measure 9 cm 12 cm and 15 cm the height Prism is 20 cm

Answer:

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The equation y= -x/3 - 1 is the answer in slope-intercept form .

We have,

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-6,-3) and, (6,-7)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y+3)/(x+6)=(-7+3)/(6+6)

=> 3y + 9 = -x +6

=>3y = -x -3

=>y= -x/3 - 1

Hence, the required equation is,  y= -x/3 - 1

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Answer:

y = -2.5x + 6.5

Step-by-step explanation:

The equation of the line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

With a slope of -2.5 and a point (2,1.5) on the line, we can use the point-slope formula to find the equation of the line:

y - 1.5 = -2.5 (x - 2)

Expanding the right-hand side, we get:

y - 1.5 = -2.5x + 5

Adding 1.5 to both sides, we get:

y = -2.5x + 6.5

So the equation of the line in slope-intercept form is y = -2.5x + 6.5.

Answer:

B, 20

Step-by-step explanation:

The Pythagorean Theorem states that the two shortest lengths in a right triangle (in our case, 12 and 16), is equal to the longest length in a right triangle (c). So,

a²+b²=c²

Substitute 12 and 16 for a and b, our side lengths

12²+16²=c²

144+256=400

400=c²

Square root both c and 400, which gives us...

20=c

So, the value of x is 20.

25>32

less than = >
less than or equal to = >

The equatiion where C is the constant of integration.To evaluate the indefinite integral ∫(3e^x + 4x^5 - x^3/4 + 1)dx, we can integrate each term separately.

∫3e^x dx = 3∫e^x dx = 3e^x + C₁

∫4x^5 dx = 4∫x^5 dx = 4 * (1/6)x^6 + C₂ = (2/3)x^6 + C₂

∫-x^3/4 dx = (-1/4)∫x^3 dx = (-1/4) * (1/4)x^4 + C₃ = (-1/16)x^4 + C₃

∫1 dx = x + C₄

Now, we can combine these results to obtain the final answer:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

Therefore, the indefinite integral of (3e^x + 4x^5 - x^3/4 + 1)dx is:

∫(3e^x + 4x^5 - x^3/4 + 1)dx = 3e^x + (2/3)x^6 - (1/16)x^4 + x + C

where C is the constant of integration.

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Answer: a is more than 1 but less than 2

Step-by-step explanation:

b > 1

0 < \(\frac{1}{b}\) < 1

0 + 1 < 1 + \(\frac{1}{b}\) < 1 + 1

1 < 1 + \(\frac{1}{b}\) < 2

So 1 < a < 2

Answer:

He can invite 11 people and pay the rest for the party

Step-by-step explanation:

6 x 11 is

66 + 60 is 126

At least 15/16 or 15 out of 16 numbers in the data set must lie within 4 standard deviations from the mean.

Chebyshev's Theorem states that for any set of numbers, the fraction that will lie within k standard deviations of the mean is at least\(1 - 1/k^2\).

In this case, we are interested in finding the fraction of numbers that must lie within 4 standard deviations from the mean. Therefore, k = 4.

Using the formula from Chebyshev's Theorem, we can calculate the fraction:

\(1 - 1/k^2 = 1 - 1/4^2 = 1 - 1/16 = 15/16.\)

Hence, at least 15/16 or 15 out of 16 numbers in the data set must lie within 4 standard deviations from the mean.

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Question

Chebyshev's Theorem states that for any set of numbers, the fraction that will lie within k standard deviations of the mean is at least 1 - 1/k2. Use this theorem to find the fraction of all the numbers of a data set that must lie within 4 standard deviations from the mean. At least of all numbers must lie within 4 standard deviations from the mean. (Type an integer or a fraction.)

Ella can type faster than Andrew because the rate at which she types is faster than Andrew's rate by 0.5 text per second.

In Mathematics, rate of change can be defined as a type of function that describes the average rate at which a quantity either decreases or increases with respect to another quantity.

In this scenario, we would determine the rate of change with respect to the amount of words that Andrew and Ella can type per second as a ratio. For the amount of words that Andrew can type per second, we have:

Andrew = 7/21 = 28/84 = 1/3 or 1:3.

For the amount of words that Ella can type per second, we have:

Ella = 4/14 = 16/56 = 1/3.5 or 1:3.5

Difference = 3.5 - 3

Therefore, we can logically conclude that Ella can type faster.

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Answer:

dufenschmertz evil incorporated...

Step-by-step explanation:

after hours ;)

Answer:

In order to have ran 33 miles, Bobby would have to attend 32 track practices.

Step-by-step explanation:

Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.

You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.

Setting up an equation will help us solve. Here is how we could set up the equation:

(amount of miles already ran = 1) + (number of track practices = x) = (total miles to run = 33)

1 + x = 33

The equation is now in place. You can solve this, or isolate 'x', by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.

1 + x = 33

1 - 1 + x = 33 - 1

x = 32

The variable is the only term left on the left side of the equation. This means Bobby must attend track practice 32 times in order to have ran 33 miles.

Answer:

A

Step-by-step explanation:

\(\frac{4}{5}\) x - \(\frac{3}{2}\) = \(\frac{1}{4}\)

multiply through by 20 ( the LCM of 5, 2, 4 ) to clear the fractions

16x - 30 = 5 ( add 30 to both sides )

16x = 35 ( divide both sides by 16 )

x = \(\frac{35}{16}\)

Answer:

C) The change in expected quiz score for every additional one hour students spend on their homework

Step-by-step explanation:

Answer:

(11*4)-7=37

Step-by-step explanation:

Answer:

(11 × 4) - 7

37

Step-by-step explanation:

7 less than 11 × 4

(11 × 4) - 7

44 - 7

37

The shortest lifespan will last less than 2.5 years.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.

Now, we have to find the value of x, that corresponds to the value of z.

Since,

(x - μ) / σ = z

(x - 3.1) / 0.5 = -1.282

                 x = 2.459

Hence, the shortest lifespan will last less than 2.5 years.

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Answer:

137,257

Step-by-step explanation:

Answer:

137,527

Step-by-step explanation:

Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

The graph ranges vertically between 9 and 15, starting at 9 (the minimum) when x=0. The minimum appears again at x=350.

This means the vertical offset is (9+15)/2 = 12, and the amplitude is (15 -9)/2 = 3. The period is 350, so the coefficient of x is (2π/350). All of the answer choices agree on these parameters.

So, the selection comes down to an understanding of how the sine and cosine curves vary. The sine curve starts at zero and increases from there. The cosine curve starts at its maximum (1) and decreases. Here, the curve starts a its minimum and increases, so could be the opposite of the cosine function.

  y = -3cos(2πx/350) +12 . . . . . . matches choice C

Answer:

a

Step-by-step explanation:

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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Answer:

3.1

Step-by-step explanation:

the area for grass seed = 0.75×68×40½=

2,065.5 ft²

the grass seed will the owner need to plant =

2,066.5/1,000 × 1.5 pounds = 3.1 pounds

The grass seed will the owner need to plant is 3.1 pounds.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that  rectangular backyard has a length of 68 feet and a width of 40 1/2 feet. The owner wants to plant 75% of the yard with grass seed.

The planting rate for the seed = 1.5 pounds per 1,000 square feet of area.

Then the area for grass seed

= 0.75×68×40½

= 2,065.5 ft²

Therefore, the grass seed will the owner need to plant =

2,066.5/1,000 × 1.5 pounds

= 3.1 pounds

The grass seed will the owner need to plant is 3.1 pounds.

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Answer:

Step-by-step explanation:

y = 4.8x + C

53.8 = 4.8(4) + C

53.8 = 19.2 + C

C = 34.6

Answer:

i believe its C

Step-by-step explanation:

Answer:

61.504

Step-by-step explanation:

Answer:

There are £61.50 in 992

Step-by-step explanation:

Here, we shall be doing some currency conversions.Now, £31 = 500 rublesThen;£x = 992 rubles To get c, what we do is simply cross multiply £x * 500 rubles = £31 * 992 rubles £x = (£31 * 992 rubles)/500 rubles £x = £61.504which is £61.50 to two decimal places

hope this helps!!

Answer:

The choose (D)

D. Circle

I hope I helped you^_^

The required cross-section for a cone is a circle. Option D is correct.

A conic section is a geometric shape that is obtained by intersecting a cone with a plane. Conic sections include circles, ellipses, parabolas, and hyperbolas.

The type of conic section that is formed depends on the angle of the plane relative to the axis of the cone, as well as the distance of the plane from the vertex of the cone.

Here,
The cross-section of a cone is a circle.

A cross-section is a shape that you get when you slice a 3D object with a plane. If you slice a cone parallel to its base, you get a circle as the cross-section.

Therefore, the correct answer is option D.

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Parking 11,000 automobiles at the venue and 4,600 in satellites will bring in total $166,500.

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.

Given,

If an arena charges $7. 50 to park in satellite parking and $12. 00 to park in an arena lot,

Multiplying:

$7.5 x 4,600 = satellite parking

$34,500 = satellite parking

The next step is to determine how much it will cost to park in the arena lot.

$11,000 ×12 = arena lot

$32,000 = arena lot

Let's now calculate the entire revenue from parking.

Total earnings equal $132,000 + $34,500.

Amount made in total is $166,500.

In conclusion Parking 11,000 automobiles at the venue and 4,600 in total satellites will bring in $166,500.

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Answer:

Step-by-step explanation:

p = .38