Pls help asap this is due tomorrow

The length of one leg of a right triangle is 8 centimeters shorter than the hypotenuse. The hypotenuse is 42 centimeters. What is the length of the unknown leg of the right triangle?

The length of the unknown leg is __ approximately centimeters.

(Write an integer or a decimal number rounded to the nearest ten when necessary.)

Answer:

y = -3

Step-by-step explanation:

y + 3 = 7(2 - 2)

y + 3 = 0

Subtract 3 from both sides

y + 3 - 3 = 0 - 3

y = -3

Answer:

  7x - y = 17

Step-by-step explanation:

Maybe you want the standard form of the point-slope equation ...

  y +3 = 7(x -2)

__

  y + 3 = 7x -14 . . . . . eliminate parentheses

  17 = 7x -y . . . . . . . . add 14-y

  7x - y = 17

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

We need to evaluate the integral ∫5xex² dx and determine a change of variables from x to u. We need to choose the correct change of variables and write the integral in terms of u.

To determine the appropriate change of variables, we look for a substitution that simplifies the integrand. In this case, the integrand involves both x and ex² terms. By observing the options, we can see that substituting u = x² simplifies the integral.

Let's make the substitution u = x². We need to find the differential du in terms of dx. Taking the derivative of u with respect to x, we have du/dx = 2x. Rearranging this equation, we get dx = du/(2x).

Now, we substitute these expressions for x and dx in terms of u into the original integral:

∫5xex² dx = ∫5(u^(1/2))e^(u) (du/(2u^(1/2))) = (5/2)∫e^(u) du.

The integral (5/2)∫e^(u) du is a basic integral, and its antiderivative is simply e^(u). Thus, the final result is (5/2)e^(u) + C, where C is the constant of integration.

Since we substituted u = x², we replace u back with x² in the final answer:

(5/2)e^(x²) + C.

This is the integral expressed in terms of the new variable u, and it represents the result of the original integral after the change of variables.

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Answer:

The correct answer is 5b²-b-2

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

Having six faces, a rectangular prism is a three-dimensional shape (two at the top and bottom and four are lateral faces). The prism's faces are all rectangular in shape. There are three sets of identical faces as a result. A rectangular prism is often referred to as a cuboid because of its shape. A rectangular prism can be found in everyday objects like a geometry box, notebooks, diaries, and rooms.

A rectangular prism's volume is a measurement of how many of its units are occupied. A rectangular prism's volume is expressed in cubic units. It can also be described as how many units are required to fill a rectangular prism.

The area of the base times the height of the rectangular prism equals the volume of the object.

The volume of a rectangular prism = Length × Width ×Height cubic units.

In the given question:

Lengths of edges are \(\frac{2}{2}\)in, \(\frac{3}{2}\)in, \(\frac{8}{2}\)in.

Volume= \(\frac{2}{2}\)×\(\frac{3}{2}\)×\(\frac{8}{2}\) \(in^3\)=\(6\)\(in^3\)

Volume of given Rectangular Prism is 6\(in^3\), So option A is correct.

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Answer:

- Please see the attached picture for full solution!:)

------------------ HappY LearninG<3 -------------

Answer:

x = -26

Step-by-step explanation:

\(5^7^x^+^5 =125^2^x^-^7\\\\5^7^x^+^5 =5^3^(^2^x^-^7^)\\\\5^7^x^+^5 =5^6^x^-^2^1\)

∴ 7x + 5 = 6x - 21

7x - 6x + 5 = -21

x = -21 - 5

x = -26

The x-component of D is approximately 1.08.

To calculate the x-component of D, we need to find the sum of the x-components of A and B.

|A| = 4.30

θA = 30.0°

|B| = 5.27

θB = 113°

To find the x-component of A, we can use the equation:

Ax = |A| * cos(θA)

Substituting the values:

Ax = 4.30 * cos(30.0°)

Ax ≈ 3.73

To find the x-component of B, we can use the equation:

Bx = |B| * cos(θB)

Substituting the values:

Bx = 5.27 * cos(113°)

Bx ≈ -2.65

Now, to find the x-component of D, we sum the x-components of A and B:

Dx = Ax + Bx

Dx ≈ 3.73 + (-2.65)

Dx ≈ 1.08

Therefore, the x-component of D is approximately 1.08.

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Step-by-step explanation:

log 6 = log (2×3) = log 2 + log 3 = 0.3010+0.4771

=0.7781

Answer:

\(\sf \log_{10}6=0.7781\)

Step-by-step explanation:

Given:

\(\sf \log_{10} 2 = 0.3010\)

\(\sf \log_{10} 3 = 0.4771\)

To find log₁₀ 6, first rewrite 6 as 3 · 2:

\(\sf \implies \log_{10}6=\log_{10}(3 \cdot 2)\)

\(\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay\)

\(\implies \sf \log_{10}(3 \cdot 2)=\log_{10}3+\log_{10}2\)

Substituting the given values for log₁₀ 3 and log₁₀ 2:

\(\begin{aligned} \sf \implies \log_{10}3+\log_{10}2 & = \sf 0.4771+0.3010\\ & = \sf 0.7781 \end{aligned}\)

Therefore:

\(\sf \log_{10}6=0.7781\)

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When designing a simulation using a random number generator to predict scores, the simulated data is likely to be different from the actual statistics from last season.

This is because the simulation relies on random numbers, which introduce an element of randomness into the predictions.

Additionally, the simulation might not capture all the variables and factors that affect scores during a game. Therefore, the simulated data will likely have variations and may not perfectly match the actual statistics from last season.

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Answer:

R(x, y) = (x, -y)

Step-by-step explanation:

When we have a reflection across some line, the distance between the original point and the reflected point to the line is invariant.

For a reflection around the x-axis, the x-value is invariant, then the only value that can change is the y-value.

So if we have a point like (4, 7)

Which is at a distance of 7 units to the x-axis, the only other point that is also at a distance of 7 units to the x-axis that has the same x-value is (4, -7)

Here we already can see the rule.

If we have a point (x, y), the reflection across the x-axis gives us the point (x. -y)

Then we can write this reflection as a function in the next way:

R(x, y) = (x, -y)

This means that if the input is the point (x, y), the output is the point (x, -y)

The value of the integral is: S₂ 0 (y-1) (2y+1)dy = (16/3) - 2 - 2 = 8/3.

To evaluate the integral S₂ 0 (y-1) (2y+1)dy, we can use the distributive property of integration and split the integrand into two separate integrals:

S₂ 0 (y-1)(2y+1)dy = S₂0 (2y² - y - 1)dy

= S₂ 0 2y² dy - S₂ 0 y dy - S₂ 0 1 dy

Now, we can integrate each of these separate integrals:

S₂ 0 2y² dy = (2/3) y³ |2 0 = (2/3) * 8 = 16/3

S₂ 0 y dy = (1/2) y² |2 0 = (1/2) * 4 = 2

S₂ 0 1 dy = y |2 0 = 2

Therefore, the value of the integral is:

S₂ 0 (y-1)(2y+1)dy = (16/3) - 2 - 2 = 8/3.

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Answer:

weight = 57 Kg

Step-by-step explanation:

We require to find the length of the diagonal (d) piece of metal

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = \(\sqrt{100}\) = 10

the length of the 5 pieces is then

8 + 8 + 6 + 6 + 10 = 38 m

the total weight of the 5 pieces is then

weight = 38 × 1.5 Kg = 57 Kg

Answer:

53

Step-by-step explanation:

Find the sales tax

50 * 6%

50 * .06

3

Add this to the original price

50 +3

53

Answer:

9(9x^2+1)

Step-by-step explanation:

Just factor the 9 out.

Answer:

ur answer is 607.51

Step-by-step explanation:

Answer:

(I'll need a picture for more help, sorry... But I hope this helps...)

Step-by-step explanation:

Finding Slope from a Graph relies on knowing that Slope is a ratio between the difference in the y-values divided by the difference in the x-values. When finding the slope, you must first find the difference in y-values in the graph. To Find Slope from a Graph you find two points on the line. You then count how many spaces you have to go up by or down by. If you go up, the y-difference is positive and if you go down the y-difference is negative.You must then find the difference in the x-values in the graph.You use the same two points as when you found the y-difference, except this time you could how many spaces you go left or right. If you go right, the x-difference is positive and if you go down the x-difference is negative. The last step is to divide the difference in the y-values by the difference in the x-values. Anytime you Find a Slope from a Graph you must reduce the fraction if it can be reduced.

Answer:

268.08257

Step-by-step explanation:

v=4/3πr^3=4/3•π•4/3=268.08257

15 friends pay £6 each for hall practice with inverse proportion

Friends  = 5

Each pays = £18

Total payments = 5*18

                          = 90

Friends = 15

Each pays = 90/15

                 = 6

Hence, 15 friends pay £6 each for hall practice with inverse proportion.

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Answer:

4 units pls mark me brainliest i really need it thanks

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

Answer:a

Step-by-step explanation:yes

Answer: 2nd option

Step-by-step explanation:

Answer:

Character Power level Source

Vegeta 18,000 Vol. 21, #249

Goku 10,000 Movie 6 Pamphlet

Piccolo 8,000 Movie 6 Pamphlet

Gohan 6,000 Movie 6 Pamphlet

Step-by-step explanation:

Answer:

The length of board required is 13 feet 6 inches .

Step-by-step explanation:

Board required to make one bird house = 2 feet 3 inches

= 2 x 12 + 3 = 27 inches

Number of bird houses = 6

So, the board required  

= 6 x 27 = 162 inches

13.5 feet = 13 feet 6 inches

The concentration of salt in the tank approaches 0.025 kg/L as time approaches infinity. The amount of salt in the tank after 3.5 hours is 50 kg. The amount of sugar in the tank at the beginning is 0 kg.

The amount of sugar after t minutes is 0.09t kg. The limit of y(t) as t approaches infinity is 205.2 kg.

The concentration of salt in the tank approaches 0.025 kg/L as time approaches infinity because the rate of salt entering the tank is equal to the rate of salt leaving the tank. The amount of salt in the tank after 3.5 hours is 50 kg because the rate of salt entering the tank is equal to the rate of salt leaving the tank.

The amount of sugar in the tank at the beginning is 0 kg because the tank contains pure water. The amount of sugar after t minutes is 0.09t kg because the rate of sugar entering the tank is equal to the rate of sugar leaving the tank. The limit of y(t) as t approaches infinity is 205.2 kg because the rate of sugar entering the tank is greater than the rate of sugar leaving the tank.

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Without additional information, it is impossible to determine the probability that the toy is not cool.

Without additional information, it is impossible to determine the probability that the toy is not cool. This is because the color of the toy does not provide any information about its coolness. For example, a red toy could be a cool action figure or a boring stuffed animal. Therefore, the color of the toy does not provide any insight into its coolness, and thus any probability assigned to the toy being not cool would be purely speculative and not based on any information. In order to determine the probability that the toy is not cool, we would need additional information, such as what the toy is, what its features are, or who makes it.

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Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

The polynomial : y = 3.6088 x³  - 0.3494 x² + 7.7644 x + 2.1870

Given,

Table

MATLAB  code :

clc; clear all; x = [1.15; -1.95; 2.15; -0.8; 0.1]; y = [16.42; -41.1; 53.06; -5.8; 2.52]; % taking cube of x p =x³; % taking square of x q = x²; %combining all columns X = [p q x];  % model of the form ax³ + bX² + cx + d % fit model in linear model mdl = fitlm(X,y); % printing coeffecients of matrix mdl.Coefficients

The table is attached below .

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Answer:

mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. 

8 - direct variation Since the equation can be written in the form y=kx. , y varies directly with x and k. The constant of variation, k, is 3.25

9 - When solving for y, y=5x-9 so y doesn't vary directly with x.

y doesn't vary directly with x

10 - direct variation Since the equation can be written in the form y=kx, y varies directly with x and k. The constant of variation, k, is -2.4

Answer:

Step-by-step explanation:

Direct variation formula:

Allie will have 2 oranges left over after dividing them evenly among the 11 baskets.

If Allie has 123 oranges and she wants to evenly divide them among 11 baskets, we can find the number of oranges left over by dividing the total number of oranges by the number of baskets and calculating the remainder.

To evenly distribute the oranges among the 11 baskets, we perform the division:

123 ÷ 11 = 11 with a remainder of 2

The quotient 11 represents the number of oranges that can be evenly distributed among the 11 baskets. The remainder 2 represents the number of oranges left over after the even distribution.

Therefore, Allie will have 2 oranges left over after dividing them evenly among the 11 baskets.

It's important to note that when dividing a certain number of objects among a specific number of groups, remainders may occur if the division is not exact. In this case, with 123 oranges and 11 baskets, 11 oranges can be evenly distributed, leaving 2 oranges as leftovers.

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