solve the inequality 7y-34 ≤ 8

No, The range of r contains points that are not in the domain of f.

Calculus is a branch of mathematics that deals with the study of rates of change, accumulation, and mathematical modeling of continuous quantities.

The correct answer is: No. The range of r contains points that are not in the domain of f.

In order for a function to be integrable along a curve, the curve must lie entirely within the domain of the function. The domain of a function is the set of all possible input values for which the function is defined.

In this case, the function f(x, y, z) = x ln(yz) has a domain that depends on the values of x, y, and z. However, the curve C, parametrized by r(t) = et², ln(t) + 1/2, t³ - 2, where 0 ≤ t ≤ e, may contain points that fall outside the domain of f.

Hence, f may not be integrable along C because the range of r (i.e., the set of all possible points traced by C) contains points that are not in the domain of f.

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Answer:

x = 144

Step-by-step explanation:

Sum of all angles of n-sided polygon = 180 * (n - 2)

Sum of all angles of 8-sided polygon = 180  * 6 = 1080

x + 129 + 132 + 136 + 124 + 141 + 158 + 116 = 1080

x + 936 = 1080

x = 1080 - 936

x = 144

The probability there is at least one pair is therefore 1−p.

acc to our question-

hence,The probability there is at least one pair is therefore 1−p.

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Answer:

-3

Step-by-step explanation:

make  a line at x=0 as see where it touches the graph

Answer:

your answer is 11

Step-by-step explanation:

An exponential has the base at the bottom

Answer: d 10900

Step-by-step explanation:

The value of machinery after 4 years is $6,100, So option 'C' is the correct answer to the following question.

What information do we have?

f(t) = 12,500 - 1,600t

Time taken = 4 year

Function

f(t) = 12,500 - 1,600t

f(4) = 12,500 - 1,600(4)

f(t) = 12,500 - 6,400

Value function = $6,100

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Answer:

2.5

Step-by-step explanation:

if you take 80 and 120 on the graph look at the middle you get 100 and in between 2 and 3 you get 2.5 so it would take 2.5 gallons of gas for 100 miles

Answer:

234

Hope this helps! :)

Answer:

x = 10

Step-by-step explanation:

An isosceles triangle has two sides of equal length. In this triangle, there is a little line in the middle of two out of the three sides of the triangle. This line tells us that those two sides are equal. We know that the value of these sides are 4x - 8 and 2x + 12. So, to find the value of x, we can set the equations equal to each other and solve for x:

4x - 8 = 2x + 12

Subtract 2x from both sides to isolate x:

2x - 8 = 12

Add 8 to both sides:

2x = 20

Divide both sides of the equation by 2 to find the value of x:

x = 10

Hope this helps :)

Answer:

it will be $80.00 and your saving $20.00

Step-by-step explanation:

Answer:

THE CORRECT ANSWER IS GH=18

The Correct answer is 27

Odd number are the numbers that are not multiple 2 and cannot be divided into two parts equally.

For examples: 3 , 5 , 7, 9,11 . . . . .

According to the question,

If the third odd number is greater than 6, multiply 9 by 3; if it is less than 5, divide 18 by 3.

Sequence of the number is 1, 5, 4, 7, 3, 7, 9, 2

where  1 , 5 , 7 , 7 ,9 are odd numbers

The third odd number is 7 which is greater than 6

according to question we have to multiple 9 by 3

= 9 × 3

= 27

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Answer:

7 - 10

Step-by-step explanation:

Because it is -3 and 7 - 10 = -3

Answer:

l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks

1. The total distance of the race is 44 miles. 2. There are 13 female senators and 71 female members of the House of Representatives in Congress. Jane will pay $387.50 per month.

1. We are given that Mark ran half the distance and swam a quarter of the distance before starting to bike the remaining 11 miles. Let's represent the total distance of the race as "D."

The distance Mark ran is half of D, so it is D/2.

The distance Mark swam is a quarter of D, so it is D/4.

After Mark's break, he started biking the remaining 11 miles.

Since the total distance of the race is the sum of the distances Mark ran, swam, and biked, we can set up the following equation:

D/2 + D/4 + 11 = D

To solve for D, we can simplify the equation and solve for D:

Multiply the equation by the common denominator, which is 4:

2D + D + 44 = 4D

3D + 44 = 4D

Subtract 3D from both sides:

44 = D

Therefore, the total distance of the race is 44 miles.

2. In the second problem, we are given that there are 84 female officials in Congress, and the number of female members of the House of Representatives is 58 more than the number of female senators. Let's represent the number of female senators as "S" and the number of female members of the House of Representatives as "H."

We are given that the total number of female officials is 84, so we can write the equation:

S + H = 84

We are also given that the number of female members of the House of Representatives is 58 more than the number of female senators:

H = S + 58

To solve for the values of S and H, we can substitute the second equation into the first equation:

S + (S + 58) = 84

2S + 58 = 84

Subtract 58 from both sides:

2S = 26

Divide both sides by 2:

S = 13

Substitute the value of S back into the equation for H:

H = 13 + 58

H = 71

Therefore, there are 13 female senators and 71 female members of the House of Representatives in Congress.

3. In the third problem, Jane and her two friends will rent an apartment for $775 a month, but Jane will pay double what each friend does because she will have her own bedroom. Let's represent the amount each friend pays as "F" and the amount Jane pays as "J."

We are given that Jane will pay double what each friend pays, so we can write the equation:

J = 2F

The total amount they will pay is $775, so we can write the equation:

F + F + J = 775

Substituting the value of J from the first equation into the second equation:

F + F + 2F = 775

4F = 775

Divide both sides by 4:

F = 193.75

Substitute the value of F back into the equation for J:

J = 2(193.75)

J = 387.50

Therefore, Jane will pay $387.50 per month.

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For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}, the process is still "in order," while for the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}, the process might be "out of order."

To determine whether the process is still "in order" or "out of order," we can compare the current sample of output to the known mean and standard deviation of the process.

For the first sample {2.038 2.054 2.053 2.055 2.059 2.059 2.009 2.042 2.053 2.047}:

Calculate the sample mean by summing up all the values in the sample and dividing by the number of values (n = 10):

Sample mean = (2.038 + 2.054 + 2.053 + 2.055 + 2.059 + 2.059 + 2.009 + 2.042 + 2.053 + 2.047) / 10 = 2.048.

Compare the sample mean to the known process mean (2.050):

The sample mean (2.048) is very close to the process mean (2.050), indicating that the process is still "in order."

Calculate the sample standard deviation using the formula:

Sample standard deviation = sqrt(sum((x - mean)^2) / (n - 1))

Using the formula with the sample values, we find the sample standard deviation to be approximately 0.019 liters.

Compare the sample standard deviation to the known process standard deviation (0.020):

The sample standard deviation (0.019) is very close to the process standard deviation (0.020), further supporting that the process is still "in order."

For the second sample {2.022 1.997 2.044 2.044 2.032 2.045 2.045 2.047 2.030 2.044}:

Calculate the sample mean:

Sample mean = (2.022 + 1.997 + 2.044 + 2.044 + 2.032 + 2.045 + 2.045 + 2.047 + 2.030 + 2.044) / 10 ≈ 2.034

Compare the sample mean to the process mean (2.050):

The sample mean (2.034) is noticeably different from the process mean (2.050), indicating that the process might be "out of order."

Calculate the sample standard deviation:

The sample standard deviation is approximately 0.019 liters.

Compare the sample standard deviation to the process standard deviation (0.020):

The sample standard deviation (0.019) is similar to the process standard deviation (0.020), suggesting that the process is still "in order" in terms of variation.

In summary, for the first sample, the process is still "in order" as both the sample mean and sample standard deviation are close to the known process values.

However, for the second sample, the difference in the sample mean suggests that the process might be "out of order," even though the sample standard deviation remains within an acceptable range.

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The left right hand derivative is 3.

The left hand derivative is 2.

The function is not differentiable at x = 1.

When x < 1,

given that the function is, f(x) = 2x² - 2x - 1

Differentiating with respect to 'x' we get, f'(x) = 4x - 2

When x \(\geq\) 1,

given the function is, f(x) = 3x - 3

Differentiating with respect to 'x', f'(x) = 3

Now, left hand derivative,

f'(1 -) = (4x - 2) at 1 = 4*1 - 2 = 4 - 2 = 2

f'(1+) = 3

Since, left hand derivative and right hand derivative for given function at x =  1 is not equal, so the function is not differentiable at x = 1.

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Answer:

10

Step-by-step explanation:

sqrt. 100 = 10

because base x height = area

base and height must be same length in a square

The decimal form of 15/16 is 0.9375.

To convert a fraction to a decimal, you can divide the numerator by the denominator. In this case, 15 divided by 16 equals 0.9375.

Alternatively, you can also use long division to find the decimal form of a fraction.

1. Set up the long division problem with 15 as the dividend and 16 as the divisor.
2. Since 16 does not go into 15, add a decimal point and a zero to the dividend.
3. Divide 16 into 150, which equals 9 with a remainder of 6.
4. Add another zero to the dividend and divide 16 into 60, which equals 3 with a remainder of 12.
5. Add another zero to the dividend and divide 16 into 120, which equals 7 with a remainder of 8.
6. Add another zero to the dividend and divide 16 into 80, which equals 5 with no remainder.
7. The final answer is 0.9375.

So, 15/16 as a decimal is 0.9375.

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Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

\((2n)+(2n+2)+(2n+4)=114\)

Solve for n. Combine like terms on the left:

\(6n+6=114\)

Subtract 6 from both sides:

\(6n=108\)

Finally, divide both sides by 6. Therefore, the value of n is:

\(n=108/6=18\)

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

Let the three consecutive even numbers be x, x + 2 and x + 4 .

\( \longrightarrow \rm x + x + 2 + x + 4 = 114\)

\( \longrightarrow \rm 3x + 6 = 114\)

\( \longrightarrow \rm 3x = 108\)

\( \longrightarrow \bf x = 36\)

Smallest number = 36

If they all start to mow their lawns at the same time then Beth's mower will finish first.

Let area of Beth's lawn = x

area of Carlos' lawn = y

Andy's lawn has twice as much area as Beth's lawn and three times as much as Carlos' lawn. So, we can write

area of Andy's lawn =2x = 3y                                    equation 1

Carlos' lawn mower cuts half as fast as Beth's mower and one third as fast as Andy's mower

Let, speed of Beth's mower = z

and speed of Andy's lawn mower = k

speed of Carlos' lawn mower = z/2 = 1/3k                   equation 2

area of Beth's lawn = x

area of Andy's lawn =2x

area of Carlos' lawn = 2x/3 = 0.66x                             (Using equation 1)

speed of Beth's mower = z

speed of Andy's lawn mower = 3z/2 = 1.5 z                (using equation 2)

speed of Carlos' lawn mower = z/2 = 0.5 z

Time = area / speed

Ratio , Beth : Andy : Carlos

\(\frac{x}{z} :\frac{2x}{3z/2} :\frac{2x/3}{z/2}\)

On simplification, we get

1 : (4/3) : (4/3)

1 : 1.33 : 1.33

From the ratio be can clearly see that Beth's mower will finish first.

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Answer:

8

Step-by-step explanation:

FH = FG+GH

15 = FG + 7

FG = 15 -7

FG = 8

Answer:5

Step-by-step explanation: Divide 60 By 12

Answer:

the answer is 5 rocks.

Step-by-step explanation:

Sinice there are 12 boxes and has 60 rocks. So that means we will divide the two to get 5bwhich is in each box.

Answer:   A  C and D

Step-by-step explanation:

Given the expression;

19 - x = 14

subtract 19 from both sides;

19 - x - 19 = 14 - 19

-x = -5

multiply both sides by -1

-(-x) = -(-5)

x = 5

Hence x = 5 is a solution to the equation

Answer:

-1

Step-by-step explanation:

Given:

\(i^{50}\)

Rewrite 50 as the product of 2 and 25:

\(\implies i^{(2 \cdot 25)}\)

\(\textsf{Apply the exponent rule} \quad a^{bc}=(a^b)^c:\)

\(\implies \left(i^2\right)^{25}\)

Apply the imaginary number rule  i² = -1 :

\(\implies \left(-1\right)^{25}\)

\(\textsf{Apply the exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:\)

\(\implies -1^{25}\)

As 1²⁵ = 1 then:

\(\implies -1\)

Answer:

(i)⁵⁰ = -1

Step-by-step explanation:

The problem is,

→ (i)⁵⁰

Formula we use,

→ i² = -1

Let's solve the problem,

→ (i)⁵⁰

→ (i²)²⁵

→ (-1)²⁵

→ -1

Hence, the answer is -1.

43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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1) The event is considered as rare.

2) It is called a rare event event because the probability is less than 5% and is well below threshold.

1) The probability of winning the grand prize is 0.005, which means there is a 0.5% chance of winning the prize.

Since this probability is low, Michele winning the grand prize is considered a rare event.

The term "rare event" is often used to describe an event with a low probability of occurrence.

A rare event typically has a probability of less than 5%, and in this case, the probability is well below that threshold. A probability of less than 0.05 is generally considered a rare event.

The fact that Michele won the grand prize means that she defied the odds, which makes the event rare.

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a). The difference between the two population means is estimated at a location to be 2.7.

b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.

c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).

d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.

Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample

\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).

With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.

We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).

The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the

average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).

Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).

The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).

As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.

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