Turn this word problem into an equation: Three times the difference of four times a number and two decreased by the sum of the number and five equals 22. Write an equation to solve for the number.

Answer:

the answer would be y^6/x^2

Step-by-step explanation:

so (Y) to the sixth power over (X) to the second power

Answer:

7-isoceles, 8- equilateral 9-scalene

Step-by-step explanation:

isoceles have 2 identical sides unlike scalene, where all sides have different lengths.

is obtuse and acute I think

Approximately 15,418.646 cubic feet of rice are in the silo when it is 34% full.

To calculate the approximate volume of rice in the silo when it is 34% full, we need to find the volume of a cylindrical segment.

First, let's calculate the height of the rice-filled portion. If the silo is 40 feet tall and it is 34% full, the height of the rice-filled portion is 34% of 40 feet, which is 0.34 * 40 = 13.6 feet.

Now, let's calculate the radius of the rice-filled portion. The diameter of the silo is 16 feet, so the radius is half of the diameter, which is 16 / 2 = 8 feet.

Using the formula for the volume of a cylindrical segment:

V = (1/3) * π * h * (3r^2 + h^2)

where V is the volume, π is approximately 3.14159, h is the height of the rice-filled portion, and r is the radius of the rice-filled portion.

Plugging in the values:

V = (1/3) * 3.14159 * 13.6 * (3 * 8^2 + 13.6^2)

Calculating this expression gives us:

V ≈ 3.14159 * 13.6 * (3 * 64 + 184.96)

≈ 3.14159 * 13.6 * (192 + 184.96)

≈ 3.14159 * 13.6 * 376.96

≈ 15418.646 cubic feet

Therefore, approximately 15,418.646 cubic feet of rice are in the silo when it is 34% full.

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Answer:

2x3x5=120

Step-by-step explanation:

Answer:

30 is the missing number.

Step-by-step explanation:

The equation is,

→ 2³ × x × 5 = 120

Then the value of x will be,

→ 2³ × x × 5 = 120

→ 8 × x × 5 = 120

→ x × 40 = 120

→ x = 120/40

→ [ x = 30 ]

Hence, the value of x is 30.

Answer:

\(Ratio = 5 : 6\)

Step-by-step explanation:

Given

Smaller

\(Sides:8\ 12\ 15\)

Bigger

\(Longest = 18\)

Required

The ratio of the perimeter of smaller to larger

The ratio of the perimeter is the same as the ratio of the side lengths.

Considering the largest, sides:

We have:

\(Ratio = 15 : 18\)

Divide by 3

\(Ratio = 15/3 : 18/3\)

\(Ratio = 5 : 6\)

Based on the given expression representing each angle, the value of x is 47 and each angles are 135° and 45° respectively.

Based on the given diagram; the angles represented by the expression are referred to as supplementary angles.

So, we can find the unknown variable x by adding the expressions and equating it to 80°

(3x - 6) + (x - 2) = 180

3x - 6 + x - 2 = 180

combine like terms

3x + x - 6 - 2 = 180

4x - 8 = 180

Add 8 to both sides

4x = 180 + 8

4x = 188

divide both sides by 4

x = 188/4

x = 47

Therefore, the respective angles are;

3x - 6

= 3(47) - 6

= 141 - 6

= 135°

x - 2

= 47 - 2

= 45°

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Answer:

8

Step-by-step explanation:

If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.

Hope that this helps!

From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.

Coordinate, is represented as the values on the x-axis and the y-axis of the graph.

Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
                                                    = 8

Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

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(a) Find the dual of the LP.Primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\) subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n \leq\) \(b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n \leq b_m$ and $x_1, x_2,\)..., x_n\(\geq 0$\)

Let us find the dual of the above primal problem.

Dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq\)\(C_1$...$a_{1n}y_1+a_{2n}y_2+...+a_{mn}y_m \leq C_n$\)

and\($y_1, y_2, ..., y_m \geq 0$\)

(b) Find the standard form of the LP and dual.Standard form of the primal problem isminimize \($b_1y_1+C_1x_1+...+C_nx_n$\)subject to \($a_{11}x_1+a_{12}x_2+...+a_{1n}x_n +s_1 = b_1$...$a_{m1}x_1+a_{m2}x_2+...+a_{mn}x_n +s_m = b_m$\) and\($x_1, x_2, ..., x_n, s_1, s_2, ..., s_m \geq 0$\)

Standard form of the dual problem ismaximize \($b_1y_1+...+b_my_m$\)subject to \($a_{11}y_1+a_{21}y_2+...+a_{m1}y_m \leq 0$...$a_{1n}y\)

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Answer:

a. 3*3-5

=6-5

=1

b. 3*(-2)-5

=-6-5

=-11

c. f(x)=1

or,1=3x-5

or,1+6=x

x=7

Answer: SSS Similarity Theorem (Choice A)

This is because we have three pairs of corresponding sides that form the same ratio, as shown by the given equation PQ/ST = QR/TU = RS/US.

That equation is basically the shorthand version of PQ/ST = QR/TU and QR/TU = RS/US combined together as one.

Answer:

S = $10.20

Step-by-step explanation:

s = 12 - .15 (12)

s = 12 - 1.80

s = $10.20

If 15% comes off the price, then 85% of the price is left to pay. (100 - 15 = 85)

12 x .85 = $10.20

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

Answer:

Step-by-step explanation:

This problem is about our wet clothe, when we put it under the Sun to dry.

Notice that the clothe is wet at the beginning, but after a certain time, it gets dry. This phenomenon is beacuse the change of the state of the water inside the clothe.

You see, at the beginning, the water is in liquid state making the wet effect, then that water transforms into vapor, makign the dry effect.

Therefore, the answer is "liquid water to vapor water", that's the change.

Answer: 6.1

Step-by-step explanation:

The probability that the manufacturing unit has carbon emissions beyond the permissible emission level is 0.2975

Given that the probability that carbon emissions from the company’s factory exceed the permissible level is 35% and the accuracy of the test is 85%.

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

Event A: The given Carbon emission beyond to the given permissible emission level.

Event B: Test predicts this.

To get the probability of this problem, first we need to divide by 100 the given values.

A=35/100

A=0.35

The probability of event A is P(A)=0.35

And the probability is P(B|A)=85/100=0.85

Now, we will use the conditional probability formula, we get

P(B|A)=P(A∩B)/P(A)

0.85=P(A∩B)/0.35

P(A∩B)=0.85×0.35

P(A∩B)=0.2975

Hence, the probability that the manufacturing unit has carbon emissions beyond the permissible emission level and the test predicts is0.2975.

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Answer:

AC = 18

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{AC}{12\sqrt{3} }\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2 AC = 12\(\sqrt{3}\) × \(\sqrt{3}\) = 12 × 3 = 36 ( divide both sides by 2 )

AC = 18

∠ACB=90° ⇒ ΔABC is right triangle

AB is hypotenuse, ∠BAC=30° ⇒

\(CB=\dfrac{AB}{2}=\dfrac{12\sqrt{3} }{2} =6\sqrt{3}\)

Let's use Pythagorean theorem

\(AB^2=BC^2+AC^2\\AC^2=AB^2-BC^2\\AC^2=(12\sqrt{3})^2-(6\sqrt{3} )^2\\AC=\sqrt{(12\sqrt{3}-6\sqrt{3})(12\sqrt{3}+6\sqrt{3}))} \\AC=\sqrt{6\sqrt{3}\times18\sqrt{3} } \\AC=\sqrt{3\times6\times18} \\AC=18\)

Answer:

Its switch direction because an open circle is only the great and less than signs.

Step-by-step explanation:

I hope this helps you! :D

Answer:

23

explain:

230/300 = 77%

^^

That is how much she predicted

We have to subtract 77% from 100% to find out how much she missed

100- 77 = 23

The mean of the population is the sum of the values divided by the total number of values: (3 + 4 + 11)/3 = 6. The standard deviation of the population can be calculated using the formula for population standard deviation.

(a) To find the mean of the sample means, we calculate the mean of all the possible sample means. In this case, there are nine different samples: (3, 3), (3, 4), (3, 11), (4, 3), (4, 4), (4, 11), (11, 3), (11, 4), and (11, 11). The mean of these sample means is (6 + 7 + 14 + 7 + 8 + 15 + 14 + 15 + 22)/9 = 12.

(b) To find the variance of the sample means, we use the formula for the variance of a sample mean, which is the population variance divided by the sample size. The population variance is calculated as the average of the squared differences between each value and the population mean. In this case, the population variance is\([(3-6)^2 + (4-6)^2 + (11-6)^2]/3\)= 22. The variance of the sample means is 22/2 = 11.

(c) To find the standard deviation of the sample means, we take the square root of the variance of the sample means. The standard deviation of the sample means is sqrt(11) ≈ 3.32.

Thus, the mean of the sample means is 12, the variance of the sample means is 11, and the standard deviation of the sample means is approximately 3.32.

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Three randomly selected households are surveyed. The numbers of people in the households are 3​, 4​, and 11.

Assume that samples of size n=2 are randomly selected with replacement from the population of 3​, 4​, and 11.

3, 3

3, 4

3, 11

4, 3

4, 4

4, 11

11, 3

11, 4

11, 11

Compare the population variance to the mean of the sample variances. Choose the correct answer below.

By the given criterias ABC is a right angle triangle at B

By Pythagoras theorem ,

AB(Perpendicular)= √20²-16² cm

AB = 12 cm

Given :- ∆DEF ∼ ∆ABC

where Angle B and Angle E are 90°

Therefore , SinF = SinC

Hence , SinF is 3/5

True.

A 95% confidence interval for the population mean means that if we draw multiple samples from the same population and construct confidence intervals for the mean using each sample, then 95% of those intervals will contain the true population mean. This is because the confidence interval is computed based on the sample mean and the sample's standard deviation, which are random variables that are expected to vary from sample to sample. Therefore, we cannot be 100% certain that the true population mean is within any particular confidence interval, but we can be confident (95% confident, in this case) that most of the intervals we construct will contain the true mean. A 95% confidence interval for the population mean implies that if samples are drawn repeatedly and confidence intervals for μ are constructed, then 95% of the confidence intervals computed will contain the population mean. This means that you can be 95% confident that the true population mean lies within the calculated interval.

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Answer:

10x-40

Step-by-step explanation:

ejeje. djdjdis disks said s

Answer:

3/4 of an hour.

Step-by-step explanation:

So Alex walks 3 miles per hour. Since you need to find how much time he will need to get to school, you just have to divide the distance from school by his miles per hour. 2.25/3 which equals 0.75. 0.75 is the percent of an hour he needs to walk 2.25 miles. To find the total minutes, multiply 0.75 by 60 to get 45. It will take Alex 45 minutes to walk to school, which is 3/4 of an hour.

Hope this helped!

Answer:

dilated coordinates are A(-18,-3) and B(-6,-12)

Step-by-step explanation:

distance of new segment is 15 units

distance formula = \(\sqrt){y-y_{1})^{2} +( x - x_{1})^{2} }\)

Answer:

2

Step-by-step explanation:

To plot the graph of the function:

According to your graphing software, we need to find the smallest value of the function, and any point at the positive slope side of the function. Let's start with the minimum point. Let's use the general formula for an absolute value function:

The coefficients 'b' and 'c' determinates how much the function was translated from the origin. The 'b' determinates in the x-axis, and the 'c' determinates in the y-axis.

If the 'b' is positive, the function translated to the left, if it is negative the function translated to the right.

If the 'c' is positive the function went up, and if it is negative it went down.

Now let's analyze our h(x) function. Our coefficients are:

Which means our minimum point is

Now, we just need to calculate any point to the right of x = -1.

Let's calculate for x = 0.

The second point is (0,7)