the volume of a cube is increasing at the rate of 12 in^3/min. how fast is the surface area increasing in square inches per minute, when the length of an edge is 20in.?

Answer:

its 1900 Bc. Because BC stand for before chirst

Step-by-step explanation:

Answer:

The total cost of the fencing as a function of side is \(C = 8\cdot x\).

Step-by-step explanation:

Dimensionally speaking, the total cost is equal to the product of length and cost per length. Given that orchid garden has a square form, there is only an input: Side (\(x\)), measured in feet. Therefore, the total cost of fencing is represented by the following formula:

\(C = (c_{west} + c_{south} + c_{east})\cdot x\)

Given that \(c_{west} = c_{east} = 2\,\frac{\$}{ft}\) and \(c_{south} = \$\,4\,\frac{\$}{ft}\), the total cost of the fencing as a function of side is:

\(C = 8\cdot x\)

Answer:

60 small and 140 large = 60 + 280 = 340 this is correct!

Step-by-step explanation:

I guess we just use the process of eleimation.

50 small and 150 Large = 50+300 = 350 so that's not right.

130 small and 70 large = 130 + 140 = 270 so, that's not right.

120 small and 80 large = 120 + 160 = 280 so, that's not right.

60 small and 140 large = 60 + 280 = 340 this is correct!

In the event that cells B1, C1, and D1 were highlighted and then used to fill E1, F1, and G1, the values we would see are A. Seat1Row2, Seat2Row2, Seat3Row2.

When using a spreadsheet, you can autofill succeeding cells if you highlight the preceding ones and then drag the cursor.

If Seat1Row1, Seat2Row1, and Seat3Row1 are in the cells B1, C1, and D1, then the spreadsheet would take note of the "1s" at the end of the values.

When it is then used to autofill the next cells, it would make this a 2 such that we see Seat1Row2, Seat2Row2, Seat3Row2.

If cells H1, I1, and J1 are filled, we would then see Seat1Row3, Seat2Row3, Seat3Row3.

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Answer:i think its B

Step-by-step explanation: well if she ran 0.4 on that day and her goal was

2.5 you would subtract the two and get 0.9.

Answer:B

Step-by-step explanation:

I got it right on my test

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Answer:

To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.

The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.

Therefore, the probability of selecting a Coke person from this group is:

P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064

So the probability of selecting a Coke person from this group is approximately 0.064.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

Answer:

$26.50

Step-by-step explanation:

2(3)=6

8.50 + 12.00+ 6= 26.50

Answer:

Answer: x is 46°

Step-by-step explanation:

• Let's first find Angle ACB

\({ \rm{ \angle ACB + 23 \degree + 90 \degree = 180 \degree}} \\ \\ { \rm{ \angle ACB = (180 - 90 - 23) \degree}} \\ \\ { \underline{ \rm{ \: \angle ACB = 67 \degree}}}\)

• From alternative angles, x = Angle BAC.

• Since AB = AC, then Angle ABC = Angle ACB

\({ \rm{x + \angle ABC + \angle ACB = 180 \degree}} \\ \\ { \rm{x + 67 \degree + 67 \degree = 180 \degree}} \\ \\ { \rm{x + 134 \degree = 180 \degree}} \\ \\ { \boxed{ \rm{x = 46 \degree}}}\)

let me add a bit more material, to the great reply above, which is absolutely correct.

we know that AB = AC, that means that triangle ABC is an isosceles and that its two angles at the "base" are congruent, namely the blue angles in the picture.

Since all flat-lines are 180°, then we know the angle to the left of point B is 180 - 44 - 23, and that angle is a corresponding angle with 67 + x.

Answer:

12

Step-by-step explanation:

Given that,

f(x) = 2x² - 3x + 7

To find the value of f ( 2.5 ), replace x with 2.5 and solve the equation.

Let us solve it now.

f(2.5) = 2(2.5)² - 3×2.5 + 7

f(2.5) = 12.5 - 7.5 + 7

f(2.5) = 12

Answer:

\(f(x) = 2 {x}^{2} - 3x + 7 \\ f(2.5) = 2 {(2.5)}^{2} - 3(2.5) + 7 \\ f(2.5) = 12.5 - 7.5 + 7 \\ \boxed{f(2.5) = 12}\)

Answer:

B. xy(y - x) (y + x)

Step-by-step explanation:

Answer:

C) e²+(w-x)²=b²

Step-by-step explanation:

C) e²+(w-x)²=b²

B is the hypotenuse and takes the place of c in the Pythagorean Theorem.  The second answer (x²+e²=b²) is also true, but isn’t what the question is asking for.

Answer:

a.   y = 6

b.  RS = 44

    ST = 37

    RT = 81

Step-by-step explanation:

RS = 7y + 2

ST = 5y + 7

RT = 14y - 3

find:

a.  y

b.  RS, ST, RT

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

12y + 9 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

-----------------------------------

b.

RS = 7(6) + 2

RS = 44

ST = 5(6) + 7

ST = 37

RT = 14(6) - 3

RT = 81

Answer:

a.   y = 6

b.  RS = 44;     ST = 37;     RT = 81

Step-by-step explanation:

RS + ST = RT

7y + 2 + 5y + 7 = 14y - 3

group like terms

7y + 5y + 2 + 7 = 14y - 3

9 + 3 = 14y - 12y

12 = 2y

y = 12/2

y = 6

plug in values to solve RS,  ST,  RT

RS = 7(6) + 2 = 44

ST = 5(6) + 7  = 37

RT = 14(6) - 3  = 81

Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

4.61 gallons is the mean number of gallons of milk consumed last month​.

The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

The mean (also known as that of the arithmetic mean, which varies with respect to the geometric mean) of a data is calculated as the sum of all values divided by the total number of values. This indicator of the central tendency is usually referred to as the "average".

The total number of gallons of milk consumed is:

\((7 \times 3) + (9 \times 4) + (7 \times 7) \\= 21 + 36 + 49 = 106\)

The total number of families is \(7 + 9 + 7 = 23\)

Therefore, the mean number of gallons of milk consumed last month is:

\(106/23 = 4.61\) gallons

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Answer:

\(\displaystyle-\frac{a}{b}\)

Step-by-step explanation:

We have:

\(\displaystyle{\frac{a(x-2y)}{b(2y-x)}\)

In the denominator, we can factor out a negative 1. This yields:

\(=\displaystyle\frac{a(x-2y)}{-b(x-2y)}\)

We can now cancel out the factor. Hence:

\(\displaystyle=-\frac{a}{b}\)

Exact answer: 165.5754

Rounded to the nearest dollar: 166

Answer:

At the second store. Because 30% Of 259.99 is more than 75$.

Step-by-step explanation:

store 1.

259.99 - 75 = 184.90

stode 2.

259.99 * 30% = 78

259.99 - 78 = 181.99

Answer:

We reject the null hypothesis, and accept the alternative hypothesis.

So, it means that the machine is under filling the bags

Step-by-step explanation:

Given

Null Hypothesis

\(H_0:\mu = 419\) --- works correctly at 419g

Alternate Hypothesis

\(H_0:\mu < 419\) --- under fills the bag

\(n =15\) --- the sample

\(\bar x = 409\) --- the mean

\(\sigma = 22\) --- the standard deviation

\(\alpha = 0.05\) --- the significance level

Required

What is the decision rule

Since n is less than 30, we make use of t test

\(t = \frac{\bar x - \mu}{\sigma/\sqrt n}\)

\(t = \frac{409 - 419}{22/\sqrt{15}}\)

\(t = \frac{-10}{22/ 3.87}\)

\(t = \frac{-10}{5.58}\)

\(t = -1.792\)

Calculate df

\(df = n-1\)

\(df = 15-1\)

\(df = 14\)

Calculate the p value from the Student's t-distribution  at df = 14 and \(t = -1.792\)

\(p =0.047\)  

Given that: \(\alpha = 0.05\)

Since \(p < \alpha\)

So, it means that the machine is under filling the bags

The area enclosed by the curves f(x) and g(x) is  1/12

Integral calculus can be used to compute the area between two curves, which is the region between two intersecting curves.

When we are aware of the equation for two curves and the locations of their intersections, integration can be utilized to determine the area under the curves.

Let our given curves be :

f(x) = x² and g(x) = x³ within the interval [0,1]

Formula to calculate area under these curves is

=> A = \(\int\limits^{c}_{a} {|f(x) - g(x)| \, dx\)

Interval is given from 0 to 1

Therefore ,

=> A = \(\int\limits^{1}_{0} {[x^2 - x^3]} \, dx\)

Integrating,

=> \([\frac{x^3}{3} - \frac{x^4}{4}]^{1}_{0}\)

=> 1/3 - 1/4

=> 1/12 is required area

The given question is incomplete So, I've answered the question in general

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

If Sanjay bought 14 T-shirts, he paid $133.

Given:

Equation=c = 9.5t

Number of T-shirt=14

Where:

c=Total cost

t=Number of T-shirts

Hence:

Total cost=9.5t

Total cost= 9.5(14)

Total cost=$133

Therefore If Sanjay bought 14 T-shirts, he paid $133.

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The expression "La luna pesca en el charco". which is equivalent to "The moon fishes in the puddle" and is used to express that an event is not likely to happen.

To begin, this expression is not a literal but a figurative expression. Now, the equivalent of this expression in English is "The moon fishes in the puddle". As this is a figurative expression we know that it is impossible for the moon to fish.

Instead, this expression means that something is impossible or not very likely to happen. For example, winning the lottery if you do not buy the lottery.

Note: Here is the question in English:

What is the meaning of the moon fishes in the puddle?

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Using the interpretation of a confidence interval, it is found that the correct option is:

x% confidence interval:

Hence, the correct option is:

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Therefore, the probability that a randomly selected value is greater than 67.5 is 0.9177 or approximately 91.77%.

Probability is a branch of mathematics that deals with measuring the likelihood or chance of a specific event occurring. It is a way of quantifying uncertainty and is used to model real-world phenomena in a variety of fields, including physics, economics, engineering, and statistics.

In simple terms, probability is a measure of the likelihood that a particular event will occur. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. For example, the probability of flipping a fair coin and getting heads is 0.5, since there are two equally likely outcomes (heads or tails) and one of them corresponds to the event of interest (getting heads).

To solve this problem, we need to use the standard normal distribution, which has a mean of 0 and a standard deviation of 1. We can transform the original distribution into a standard normal distribution by using the z-score formula:

z = (x - μ) / σ

where x is the value, we want to find the probability for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

Substituting the given values into the formula, we get:

\(z = (67.5 - 56.1) / 8.2\)

\(z = 1.384\)

We can now use a standard normal distribution table or a calculator to find the probability that a randomly selected value is greater than 67.5.

Using a standard normal distribution table, we look up the probability associated with a z-score of 1.384. The table gives us a probability of 0.917.

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Mary's rate per miles is 1/7 hour per mile

From the question, we have the following parameters that can be used in our computation:

Mary just finished running 3.5 miles. It took her about 30 minutes

This means that

Distance = 3.5 miles

Time = 30 minutes

Convert minutes to hour

So, we have

Time = 0.5 hour

The rate is then calculated as

Rate = 3.5/0.5

Evaluate

Rate = 7

Take the inverse

Rate = 1/7

Hence, the rate is 1/7 hour per mile

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Answer:

C > –½

Step-by-step explanation:

10C + 4 > 2C

The above inequality can be solved as follow:

10C + 4 > 2C

Collect like terms

4 > 2C – 10C

4 > – 8C

Divide both side by –8

Note: the inequality sign will change since we are dividing by a negative value.

4/ –8 < –8C/ –8

– ½ < C

Thus,

C > –½

Answer:

14 cabins

Step-by-step explanation:

16 ÷ 2 = 8 in 1 cabin

112 ÷ 8 = 14 cabins

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Answer:

103

Step-by-step explanation:

(-8)²-3(-8)+15

64+24+15

103

The value of the given function for x = -8 is 103

A function is defined as a relation between a set of inputs having one output each.

Given is a function, x²-3x+15, we are given to find the value of f(-8)

To find f(-8), put x = -8 in the function, we get,

f(-8) = (-8)²-3(-8)+15

= 64+24+15

= 103

Hence, the value of the given function for x = -8 is 103

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