3x + 7m + 4x - 5m + 25

The appropriate critical value for constructing a confidence interval in this setting is 1.88.

To find the appropriate critical value for constructing a confidence interval at a 94% confidence level, we can use a standard normal distribution table or a calculator.

First, we need to find the value of alpha, which is the significance level, which is equal to 1 - the confidence level. In this case, alpha is equal to 1 - 0.94 = 0.06.

Next, we need to find the critical value z* from the standard normal distribution table or calculator, which corresponds to the area to the right of z* being equal to alpha/2 = 0.03.

Using a standard normal distribution table or calculator, we can find that the critical value z* is approximately 1.88.

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Answer:

x = 29.5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos x = adj side/ hypotenuse

cos x = 67/77

Taking the inverse cos of each side

cos^-1( cos x) = cos^-1 (67/77)

x = 29.52626525

To the nearest tenth

x = 29.5

Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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The greatest number of 40-kilogram crates that can be loaded onto the trailer = 24

Let us assume that n represents the greatest number of 40-kilogram crates that can be loaded onto the trailer.

The greatest amount of weight that can be loaded onto the trailer is 1,050 kilograms.

Here, 82-kilogram crate has already been loaded onto the trailer.

From this information, we can formulate an equation as,

1050 = 82 + (40 × n)

We solve above equation for n.

40n = 1050 - 82

n = 968 / 40

n = 24.2

As the number of crates can not be a decimal number.

n ≈ 24

This is the greatest number of 40-kilogram crates that can be loaded onto the trailer.

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Answer:

$32040

Step-by-step explanation:

1=2232

Using an exponential function, it is found that $11,747 will be in the account after 4 years.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem, considering the initial investment of $7,400, and the fact that it doubles every 6 years, the equation is given by:

\(A(t) = 7400(2)^{\frac{t}{6}}\)

Hence the amount in 4 years is given by:

\(A(4) = 7400(2)^{\frac{4}{6}} = 11747\)

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Answer:

Step-by-step explanation:

11747

Answer:

If you had a three person relay race and you all took 20 seconds each, how long did your race last? hope this will help :)

Answer:

The middle number would be (14+15)/2 = 14.5

How I found that is I did (14+15)/2.  

pls mark as branliest

Answer:

28

Step-by-step explanation:

Determine which integer in the solution set will make the equation true. t − 42 = −14 {−56, −28, 3, 28}

replace 28 for t:

t − 42 = −14

28 − 42 = −14

−14 = −14

Answer:

  28

Step-by-step explanation:

You want the value of t that satisfies t − 42 = −14.

The solution to this 1-step linear equation is to add the opposite of the unwanted constant (-42).

Adding 42 to both sides of the equation gives ...

  t -42 +42 = -14 +42

  t = 28

The integer that makes the equation true is 28.

Answer:

True: the leading coefficient in the monomial is -7

Step-by-step explanation:

Math

A dune buggy travels 17,280 cm (centimeters) in 4 minutes.

The distance traveled by a dune buggy moving through a hallway at 57.4 cm/s in 4 minutes is 17,280 cm. Here's how to solve it:

First, convert 4 minutes to seconds:4 minutes x 60 seconds/minute = 240 seconds

The distance traveled by the dune buggy in 240 seconds can be calculated using the formula:

Distance = Speed x Time

Therefore,

Distance = 57.4 cm/s x 240

s = 13,776 cm

Since the distance is required in centimeters, we stop here.

Therefore, the dune buggy travels 13,776 cm in 4 minutes.

However, the question requires units, so the unit is centimeters.

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Answer:

o dpB

Step-by-step explanation:

Answer:

none of them

Step-by-step explanation:

in order for them to be triangle lengths the two shorter size added together have to be greater than the longest side and in each answer choice if you add the two shorter sides none of them are greater than the longer side if that makes sense

Answer: what you need to find is the one where the two lowest numbers add up to be bigger than the biggest number. For example, if it was 3,7,5 then those could be right because 5+3=8 and 8 is bigger than 7. It is supposed to be that any two added is bigger than the third, but it's mist important that the smaller numbers equal more than the third

Step-by-step explanation:

Answer:

The graph of the function starts high ends low

Step-by-step explanation:

I put the equation into Desmos

Answer:

363.741 feet

Step-by-step explanation:

Let the height of the cliff be represented by x. Applying the appropriate trigonometric function, we have;

Tan θ = \(\frac{opposite side}{adjacent side}\)

Tan \(60^{0}\) = \(\frac{x}{210}\)

cross multiply to have;

   x = 210 × Tan \(60^{0}\)

      = 210 × 1.7321

      = 363.741

The cliff is 363.741 feet high.

Answer:

Hello! answer: 105

Step-by-step explanation:

When doing these for squares you have to do base × height and for triangles you do base × height ÷ 2 So Lets do the triangles sense there more complex so we can get them out of the way. The base for the triangles our 5 and the height is 8 so we will do 5 × 8 = 40 now we will just divide that by 2 so 40 ÷ 2 = 20 now sense we have four identical triangles we will just multiply 20 by 4 so 20 × 4 = 80 now for the 1 in the middle its nice and simple just 5 × 5 so 5 × 5 = 25 now we just add 80 + 25 and 80 + 25 = 105 So 105 is the area! Hope that helps!

Step-by-step explanation:

dk if this makes sense

Answer: Jenna multiplied both numbers by 5 and added the products of the two equations into her answer. Mia added the numbers then multiplied by 5 to get her answer. However, in some situations, this isn't the case. take 5(9+6) for example. You multiply both by 5 to get 45+30=75. That's correct. And when you add both to get 15, then multiplied by 5, you also get 75. But in certain scenarios, such as dividing, that won't be the case. 5(9/3)=15. (Dividing the 9 by 3 first) 5(9/30) [not dividing first] gets you 3.

The detail from “The Gold Coin” that best supports the inference that Juan is beginning to enjoy reconnecting with people is when he helps the old woman carry her basket of fruit.

Juan is a thief, and he has been for many years. He has no friends, and he doesn't care about anyone but himself. But when he sees the old woman struggling with her groceries, he stops and helps her.

This act of kindness shows that Juan is beginning to change. He is starting to care about other people, and he is starting to understand that there is more to life than just stealing. This is a significant development in Juan's character, and it suggests that he is on the road to redemption.

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Answer:

they are perpendicular

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A net is formed when the surfaces of a given shape is laid flat on a horizontal plane. And on folding it with respect to its edges, the initial shape is reproduced with no distortion or loss.

From the given question, the net that would not produce a cube is that of option C.

Answer:

c. 29.3 cubic mi.

Step-by-step explanation:

Volume of cone: \(\pi\) × r² × \(\frac{h}{3}\)

Volume of cone = \(\pi\) × 2² × \(\frac{7}{3}\)

                           = 9\(\frac{1}{3}\)\(\pi\)

                           = 29.3 cubic mi. (rounded to 3 s.f.)

The true statement about Adi's algebraic tiles is that (b) the use of incorrect header

The complete question is added as an attachment

From the question, the product expression is given as:

(negative 2 x minus 1)(2 x minus 1).

Rewrite properly as:

(-2x - 1)(2x - 1)

Expand the above expression

(-x - x - 1)(x + x - 1)

The above header does not represent the header in the algebraic tiles

This means that the header of the algebra tiles would be:

-x, -x, 1 and x, x and -1

From the figure, we can see that this is incorrectly represented

Hence, the true statement about Adi's algebraic tiles is that (b) the use of incorrect header

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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

180 hours

Step-by-step explanation:

Hope this helps