Guys i need helpppppp Question 4: Two equations are shown: Equation 1: 34(x−12)=12 Equation 2: 34y−12=12 Solve each equation. Then, enter a number in each box to make this statement true. The value of x is: The value of y is:

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

To learn more about capacity

https://brainly.com/question/33454758

#SPJ8

The answer is: J - 3.08 pounds

Option I ) 3.08 pounds

The reason being that it can't round up with the 2 so we just have that number to the hundredth

Answer:

C.

Brainliest, please!

Step-by-step explanation:

A negative exponent means that the number is really small, which is true in this case.

Answer:

0.00000135

Step-by-step explanation:

1.35 x 10-5 means,

1.35/100000

=>0.00000135

The values of the trigonometric functions of t are Sin(t)=0.2, Cos(t) = -5/12, Csc(t) = 5,Sec(t) = -12/5, Cot(t) = -5/12 and  the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5π/7 rad is 8.86 m

To find the values of the trigonometric functions of t, the tan(t) value was used to calculate the sin(t) value by using the relationship sin²(t) + cos²(t) = 1. The other trigonometric functions were calculated by using the relationship among the trigonometric functions.

Sin(t) = √(1 - (tan(t))^2) = √(1 - (-12/5)^2) = √(1 - 144/25) = √(25/25 - 144/25)   = √(1/25) = 0.2

Csc(t)= 1/0.2= 5

The radius of the circle was then determined by using the arc length and the angle subtended at the center. The arc length was divided by the subtended angle to find the radius. The result was rounded off to two decimal places.

Radius r = (20m)/(5π/7)   = (20m*7)/(5π)   = 28/π = 8.86 m

To know more about trigonometric functions  refer to the link  brainly.com/question/25618616

#SPJ4

Answer:

2⁴ x 3 x 5²

Step-by-step explanation:

1200

600 2

300 2

150 2

50 3

25 2

5 5

2⁴ x 3 x 5²

Answer:

12.

Step-by-step explanation:

To analyze the investment decision between Machine A and Machine B, various financial metrics are calculated. The payback period, accounting rate of return, net present value, and internal rate of return are determined. Based on these calculations, the suitable machine is chosen, considering the payback period, cost of capital, and other factors.

The payback period of both machines is calculated by determining the time required to recover the initial investment. It is expressed in years, months, and days. The machine with the shorter payback period indicates a faster return on investment.
Using the payback period as the sole criterion for decision-making, the machine with the shorter payback period should be chosen. However, it's important to note that the payback period does not consider the time value of money or the profitability beyond the payback period.
The accounting rate of return on average investment for Machine A is calculated by dividing the average annual profit by the average investment cost, expressed to two decimal places. This metric provides an indication of the profitability of the investment.
The net present value (NPV) of each machine is calculated by discounting the expected cash flows using the company's cost of capital (12%). NPV represents the present value of the expected cash inflows and outflows associated with the investment. The machine with the higher NPV indicates a higher value addition to the company.
The internal rate of return (IRR) of Machine B is determined using interpolation. IRR is the discount rate that equates the present value of expected cash flows to the initial investment. It indicates the profitability and return on investment of Machine B.
Considering all these factors and the company's cost of capital, a comprehensive evaluation can be made to determine the most suitable machine for investment.

learn more about cost of capital here

https://brainly.com/question/29489546



#SPJ11

Answer:

Step-by-step explanation:

ΔBDS ~ ΔBZD

Use ratios of similar triangles:

DZ = √(52²-20²) = 48

Correct choice is B

Answer:

Length = x + 3 ft
Width = x - 3 ft

Area of new patio = x² - 9 sq ft

If original side length = 8, new area = 55 sq ft

Step-by-step explanation:

The original patio has side length of x

If one side is reduced by 3 we get (x - 3) as the new side

If the side is increased by 3' we get (x + 3) as the new side

Area of new Patio = (x - 3)(x+3) = x² - 9

Original patio is 8 x 8
New patio width = 8 - 3 = 5
New patio length = 8 + 3 = 11

Area = 5 x 11 =55 sq ft

From the above evaluations, we can see that the absolute maximum value occurs at t = 3^(3/2) with f(3^(3/2)) = 1.4495, and the absolute minimum value occurs at t = -1 with f(-1) = 0.

To find the absolute maximum and absolute minimum values of the function f(t) = t - t^(1/3) on the interval [-1, 5], we need to evaluate the function at its critical points and endpoints within that interval.

Critical Points:

We find the critical points by taking the derivative of f(t) and setting it equal to zero:

f'(t) = 1 - (1/3)t^(-2/3)

Setting f'(t) = 0 and solving for t:

1 - (1/3)t^(-2/3) = 0

1 = (1/3)t^(-2/3)

3 = t^(-2/3)

3^(3/2) = t

t = 3^(3/2)

Endpoints:

We evaluate the function at the endpoints of the interval, t = -1 and t = 5.

Now, we compare the function values at these critical points and endpoints to determine the absolute maximum and minimum values.

Evaluate f(t) at t = -1:

f(-1) = -1 - (-1)^(1/3) = -1 - (-1) = -1 + 1 = 0

Evaluate f(t) at t = 3^(3/2):

f(3^(3/2)) = 3^(3/2) - (3^(3/2))^(1/3) = 3^(3/2) - 3 = 1.4495

Evaluate f(t) at t = 5:

f(5) = 5 - 5^(1/3)

Now, we compare the function values:

f(-1) = 0

f(3^(3/2)) = 1.4495

f(5) = 5 - 5^(1/3)

To know more about absolute maximum value,

https://brainly.com/question/31584546

#SPJ11

Answer: \(19u^{2} -12u\)

Step-by-step explanation:

1) You would have to distubite the 2 to the numbers inside the paretheis.

\(( -12u + 20u^{2} ) + -u^{2}\)

2) After that you add the like terms together.

\(20u^{2}-u^{2}= 19u^{2}\)

\(-12u\) (Nothing to add this term with.)

3) Put them together to make your answer.

\(19u^{2}-12u\)

Answer:

\(x^{2}\)+\(y^{2}\)=9

Step-by-step explanation:

the equation for graphed circles centered at (0, 0) is

\(x^{2}\)+\(y^{2}\)=\(r^{2}\)

and 3 is r (the radius)

Step-by-step explanation:

Some expressions that are equivalent to this is: 1 - 1/5; 2 - 1  1/5; 3 - 2  1/5; etc.

The value of Absolute maximum are (a) 8, (b) -30.36, (c) -10 and the Absolute minimum are (a) -10, (b) -362.39, (c) -362.39.

We are given a function:f(x) = x³ - 12x² - 27x + 8We need to find the absolute maximum and absolute minimum values of the function f(x) over each of the indicated intervals. The intervals are:

a) Interval = [-2, 0]

b) Interval = [1, 10]

c) Interval = [-2, 10]

Let's begin:

(a) Interval = [-2, 0]

To find the absolute max/min, we need to find the critical points in the interval and then plug them in the function to see which one produces the highest or lowest value.

To find the critical points, we need to differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 0].

Checking for x = 4 + √37:f(-2) = -10f(0) = 8

Checking for x = 4 - √37:f(-2) = -10f(0) = 8

Therefore, the absolute max is 8 and the absolute min is -10.(b) Interval = [1, 10]

We will follow the same method as above to find the absolute max/min.

We differentiate the function:f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:f'(x) = 0Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)

x = (24 ± √(888)) / 6

x = (24 ± 6√37) / 6

x = 4 ± √37

We need to check which critical point lies in the interval [1, 10].

Checking for x = 4 + √37:f(1) = -30.36f(10) = -362.39

Checking for x = 4 - √37:f(1) = -30.36f(10) = -362.39

Therefore, the absolute max is -30.36 and the absolute min is -362.39.

(c) Interval = [-2, 10]

We will follow the same method as above to find the absolute max/min. We differentiate the function:

f'(x) = 3x² - 24x - 27

Now, we need to solve the equation:

f'(x) = 0

Using the quadratic formula, we get: x = (-b ± √(b² - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-24) ± √((-24)² - 4(3)(-27))) / 2(3)x = (24 ± √(888)) / 6x = (24 ± 6√37) / 6x = 4 ± √37

We need to check which critical point lies in the interval [-2, 10].

Checking for x = 4 + √37:f(-2) = -10f(10) = -362.39

Checking for x = 4 - √37:f(-2) = -10f(10) = -362.39

Therefore, the absolute max is -10 and the absolute min is -362.39.

Learn more about function at

https://brainly.com/question/31956232

#SPJ11

Answer:

(f - g)(x) = (x+3) – ( x² –2)

= (x+3) + ( - x²+2)

= – x²+x +5

(f -g)(3t) = - (3t)² + (3t)+5

= - 9t²+3t+5

I hope I helped you^_^

Option C. 0.67. To estimate the value of √(2π/√5), we first need to simplify the expression as much as possible.

One approach is to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator:

√(2π/√5) * (√5/√5) = √(2π√5)/(√5√5) = √(10π)/√(5*5) = √(10π/25)

Now, we can simplify the expression further by canceling out the square root of 25:

√(10π/25) = √(2π/5)

Next, we can use a calculator to evaluate the expression. Simply input 2π/5 and then take the square root of the result. Doing this yields:

√(2π/5) ≈ 0.671

Therefore, the closest answer choice is C) 0.67.

To learn more about estimate the value please click on below link.

https://brainly.com/question/3639595

#SPJ4

Probabilities are used to determine the chances of events

The probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

Represent the events as follows:

So, we have

P(A) = 20%

P(B) = 40%

P(C) = 30%

The probability that Jill selects a wooden pencil and then a mechanical pencil is then calculated as:

P(B n A) = P(B) * P(A)

This gives

P(B n A) = 40% * 20%

Evaluate the product

P(B n A) = 8%

Hence, the probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

Read more about probabilities at:

https://brainly.com/question/9385303

Answer:

False

Step-by-step explanation:

13+5=18

2*4=8

8-5=3

The given solution x=4 is false for 2x-5 = 13.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x−5 = 13

Now, for x=4

2(4)- 5

= 8-5

= 3

As, the LHS part of equation is not equal to RHS part.

Hence, the given x=4 is false for 2x-5 = 13

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ3

1967.64 is the value of the given expression.

We must carry out the division operation in the following manner in order to assess the expression:

26,091 ÷ 13.26

= 1967.64

As a result, the expression has a value of 1967.64.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ1

The value of c in cents when he bought 3 cakes for c cents and 2 loaves of bread for 2c - 11 cents each is 87 cents.

He buys 3 cakes that cost c cents each.

Therefore,

cost of the 3 cakes = 3c

2 loaves of bread that cost 2c - 11 cents each. Therefore,

cost of the two loaf of bread = 2(2c - 11) = 4c - 22

Hence, the total amount he spends can be represented as follows:

5.87 dollars = 587 cents

Therefore,

3c + 4c - 22  = 587

7c = 587 + 22

7c = 609

c = 609 / 7

c = 87

learn more on equation here: https://brainly.com/question/9898024

Answer:

x = -2.65865384615

Step-by-step explanation:

-91x - 13x = 276.50

First, Combine Like Terms

-91x + (-13x) = -104x

-104x = 276.50

Second, divide

276.50 / -104 = x

x = -2.65865384615

The best answer for the question is A. x = -2, y = 1. To find values for the variables x and y so that the matrices are equal, we can compare the corresponding elements of the matrices

Given matrices:

Matrix 1: [H -2]

Matrix 2: [y 1]

For the matrices to be equal, the elements in the corresponding positions must be equal.

From Matrix 1, we have H = y and -2 = 1.

Comparing the equations, we can see that -2 is not equal to 1. Therefore, there are no values for x and y that would make the matrices equal.

Therefore, the answer is DNE (Does Not Exist) as there are no values for x and y that satisfy the equation.

Learn more about matrix equality here: brainly.com/question/25960049

#SPJ11

i believe it is

8x+9 because it doesnt give a lot of info to solve for x  

Answer:

\(x = 180\)

Step-by-step explanation:

Solve the value of \(x\) :

\(0.25x + 7 = \frac{1}{3}x - 8\)

-Combine \(\frac{1}{3}x\) and \(0.25x\) by subtracting \(0.25x\) by \(\frac{1}{3}x\) :

\(0.25x - \frac{1}{3}x + 7 = \frac{1}{3}x - \frac{1}{3}x - 8\)

\(-\frac{1}{12}x + 7 = -8\)

-Subtract \(7\) on both sides:

\(-\frac{1}{12}x + 7 - 7 = -8 - 7\)

\(-\frac{1}{12}x = -15\)

-Multiply both sides by \(-12\), the reciprocal of \(-\frac{1}{12}\) :

\(\frac{-\frac{1}{12}x}{-\frac{1}{12}} = \frac{-15}{-\frac{1}{12}}\)

\(x = -15 (-12)\)

\(x = 180\)

Therefore, the value of \(x\) is \(180\).

Answer: Im pretty sure you do

Step-by-step explanation: your welcome

Answer: -39.57

Step-by-step explanation:

Given:

sample size = 73

mean = 29.4

standard deviation = 21.3

To find:

98% confidence interval for the sample size and mean

To get the confidence interval, we'll apply the formula:

Answer:

A

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Since Kelly got 21 sweets which is also 3 units,

each unit is 7 sweets

Therefore 2 units is 14 sweets

Shaun got 14 sweets

Step-by-step explanation:

General formula for number of microbes = n^2 + 3, where n represent the day number.

So on day 8, there will be 8^2 + 3 = 67 microbes.