Which value of xxx makes 7+5(x-3)=227+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
x=4x=4x, equals, 4

(Choice B)
B
x=5x=5x, equals, 5

(Choice C, Checked)
C
x=6x=6x, equals, 6

(Choice D)
D
x=7x=7x, equals, 7
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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

22 bagssss i am right because i did 4 time 4 times 1 and got 16 and then i divided that by 0.75 and got 21.33333 and since you can't get a 0.3333333 of a bag you have to get one extra so it would be 22

Step-by-step explanation:

Let's denote this probability as p, where p represents the probability of a single calculator failing. Therefore, the probability of both calculators failing is given by \(p^2\).

If the failure rate of the second calculator is the same and independent of the first, we can assume that the probability of failure for each calculator remains constant. To determine the probability of both calculators failing, we need to multiply the probabilities of each calculator failing independently. Since the events are independent, we can multiply the individual probabilities together.

Probability of both calculators failing = Probability of first calculator failing * Probability of second calculator failing

= p * p

= \(p^2\)

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114 circles with a diameter of 25 cm would fit inside it.

What is circles?

All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

25 cm = 0.25 m

5.6/(0.25/2)^2 *pi = 5.6/(0.125)^2  *pi = 5.6/0.049=114.

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Answer:

64 chickens (40%)

Step-by-step explanation:

16 horses(10%), 32 cows(20%), 48 goats(30%),

Answer:

b

Step-by-step explanation:

The area to the right of 2.6 in a t-distribution with n degrees of freedom is 0.9082, assuming the sample is a random sample from a distribution that is reasonably normally distributed and that we are doing inference for a population mean.

We can use a t-distribution table or a statistical software program to find the area to the right of 2.6. Here, I'll show you how to use a t-distribution table:

Determine the degrees of freedom (df) for the t-distribution. This is equal to n - 1.

Look up the t-value that corresponds to a one-tailed probability of 0.05 and df.

Multiply the t-value by -1 to get the positive value for the right tail. In other words, we need the value for the right tail, so we flip the sign of the t-value.

Add 0.5 to the result to account for the area to the left of 2.6. This gives us the cumulative probability from negative infinity to 2.6.

Subtract the result from 1 to get the area to the right of 2.6.

For example, suppose we have a sample of size n = 10. Then, the degrees of freedom for the t-distribution would be df = 10 - 1 = 9. Using a t-distribution table, we can look up the t-value that corresponds to a one-tailed probability of 0.05 and df = 9:

t-value = 1.833

Since we need the positive value for the right tail, we multiply by -1 to get:

t-value = -1.833

Adding 0.5 to account for the left tail gives:

t-value + 0.5 = -1.333

Finally, subtracting this result from 1 gives us the area to the right of 2.6:

Area to the right of 2.6 = 1 - 0.0918 = 0.9082

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Answer:

48 minutes

Answer:

48

I assume \(C\) is oriented counterclockwise. If \(C\) is the closed rectangle, then by Green's theorem we have

\(\displaystyle \int_C F\cdot dr = \int_0^3 \int_0^9 \frac{\partial (x-y)}{\partial x} - \frac{\partial (x^2+y^2)}{\partial y} \, dy \, dx \\\\ ~~~~~~~~~~~~ = \int_0^3 \int_0^9 (1 - 2y) \, dy \, dx = 3 \int_0^9 (1-2y)\, dy = \boxed{-216}\)

It seems unlikely, but if you actually are omitting the integral along the line segment joining (0, 9) and (0, 0), let \(x=0\) and \(y=9-t\) with \(0\le t\le9\). Then the integral along this line segment would be

\(\displaystyle \int_{(0,9)\to(0,0)} F\cdot dr = \int_0^9 \bigg((0^2 + (9-t)^2) i + (0 - (9-t)) j\bigg) \cdot (0i - j) \, dt \\\\ ~~~~~~~~  = \int_0^9 (9-t) \, dt = \frac{81}2\)

so that the overall integral would instead have -216 - 81/2 = -513/2.

The population of the town in 60 years will be approximately 7,776 people.

Since the population grows at a rate proportional to the population present, we can use the exponential growth formula:

\(P(t) = P0 * e^{kt}\)

where P0 is the initial population, t is the time elapsed in years, k is the proportionality constant, and e is Euler's number (approximately 2.71828).

From the problem, we know that the population increased by 25% in 10 years. This means that:

P(10) = P0 * 1.25

Substituting the given values, we have:

\(P0 * e^{k*10} = P0 * 1.25\)

Simplifying and solving for k, we get:

k = ln(1.25)/10

Using this value of k, we can find the population after 60 years:

\(P(60) = P0 * e^{k*60}\)

Substituting the given values and the value of k we just calculated, we have:

\(P(60) = 500 * e^{ln(1.25)/10 * 60}\)

Simplifying and rounding to the nearest person, we get:

P(60) ≈ 7,776 people

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Answer:

y = -0.2(x) + 3

Step-by-step explanation:

One way to find an equation for a line is to find two points and go from there. To find the second point, we can note that the y intercept means when x=0. In the line y=3, y is always 3, so when x=0, y = 3.

Our two points are then (5, 2) and (0,3)

To find the slope, we can use

\(\frac{y_2 - y_1}{x_2-x_1} = \frac{3-2}{0-5} \\= \frac{1}{-5} \\= -0.2\)

Using the formula y = mx + b and the slope m = -0.2, plugging into (5, 2) and solving for b, we get

2 = -0.2 (5)  +b

2 = -1 + b

add 1 to both sides to isolate the b

b = 3

Our formula is thus

y = -0.2(x) + 3

This equation x + (x + 1) + (x + 2) = negative 21 will be used.

Let the first Number is x.

We have to take 3 consecutive integers.

second Number is x+1

third Number is x+2.

Sum of these 3 consecutive integers is x+(x+1)+(x+2).

Sum of these 3 consecutive integers is given as negative21.

so we can write  x+(x+1)+(x+2)=negative 21.

by using above equation we can find the value of 3 numbers.

So the final equation will be x + (x + 1) + (x + 2) = negative 21.

Given Question is incomplete, Complete Question here:

Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers? x + x + x = negative 21 x + 2 x + 3 x = negative 21 x + (x + 1) + (x + 2) = negative 21 x + (x + 2) + (x + 4) = negative 21

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ln e³ = 3, by definition and properties of logarithm.

Now,

As seen by the definition of logarithms, \(log_b(a)=x\)

In case of natural logarithm, b = e, i.e., \(log_e(a)\) = ln (a) = x

In the question, ln (e)³, a = e

By property of logarithms, \(log_b(a^m) = m(log_b(a))\) ,

=> 3 (ln (e)) = 3 \(log_e(e)\)

Since, \(log_e(e)\) = 1, ln (e)³ = 3 (1) = 3.

Hence, ln e³ = 3, by definition and properties of logarithm.

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Answer:

A

Because it has the characteristics of trinomial

Answer:

If the person has been able for something else and the point that is the best

The population in this scenario is all the students at UCLA.

In this case, the population refers to the entire group of individuals that Bob wanted to study, which is all the students at UCLA. The population represents the larger group from which the sample is drawn. The goal of the study is to investigate levels of homesickness among college students at UCLA.

Bob conducted a random sample by selecting 200 students out of the entire student population at UCLA. This sampling method aims to ensure that each student in the population has an equal chance of being included in the study. By surveying a subset of the population, Bob can gather information about the levels of homesickness within that sample.

To calculate the sampling proportion, we divide the size of the sample (200) by the size of the population (total number of students at UCLA). However, without the specific information about the total number of students at UCLA, we cannot provide an exact calculation.

By surveying a representative sample of 200 students out of all the students at UCLA, Bob can make inferences about the larger population's levels of homesickness. The results obtained from the sample can provide insights into the overall patterns and tendencies within the population, allowing for generalizations to be made with a certain level of confidence.

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Answer:

720 degrees because the hexagon is regular.

Step-by-step explanation:

Given:

The number of ribbons it can sell each week, x, is related to the price p per ribbon by the equation:

\(x=1000-100p\)

To find:

The selling price if the company wants the weekly revenue to be $1,600.

Solution:

We know that the revenue is the product of quantity and price.

\(R=xp\)

\(R=(1000-100p)p\)

\(R=1000p-100p^2\)

We need to find the value of p when the value of R is $1600.

\(1600=1000p-100p^2\)

\(1600-1000p+100p^2=0\)

\(100(16-10p+p^2)=0\)

Divide both sides by 100.

\(p^2-10p+16=0\)

Splitting the middle term, we get

\(p^2-8p-2p+16=0\)

\(p(p-8)-2(p-8)=0\)

\((p-8)(p-2)=0\)

Using zero product property, we get

\(p-8=0\) or \(p-2=0\)

\(p=8\) or \(p=2\)

Therefore, the smaller value of p is $2 and the larger value of p is $8.

Answer:

4.0 x 10^-5

Step-by-step explanation:

Answer:

4*10^-5

Step-by-step explanation:

0.00004 has 4 zeros. Add 1 = 5

The power on 10 becomes negative (-5)

4 is a number between 1 and 9 inclusive.

4 * 10^-5

From the given question, we can easily calculate that P(A⋂ B) is equal to 0 and  P(A | B) is also equal to 0.

Mutually exclusive events are those events that indicate that two or more events “do not occur” at the same time.

that clearly means that the intersection of their probabilities will be equal to 0

i.e. P(A⋂ B) = 0

and P(A|B) is called "Conditional probability", which means the possibility of an event or outcome happening(A), based on the given probability of a previous event or outcome(B)

and is given by,

P(A|B) = P(A ⋂ B)/P(B)

= 0/0.40

= 0

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The rent of the apartment during the 9th year would be approximately $2102.7 per month when rounded to the nearest tenth.

To find the rent of the apartment during the 9th year, we need to calculate the rent increase for each year and then apply it to the initial rent of $1600.

The rent increase each year is 9.5%, which means the rent will be 100% + 9.5% = 109.5% of the previous year's rent.

First, let's calculate the rent for each year using the formula:

Rent for Year n = Rent for Year (n-1) * 1.095

Year 1: $1600

Year 2: $1600 * 1.095 = $1752

Year 3: $1752 * 1.095 = $1916.04 ...

Year 9: Rent for Year 8 * 1.095

Now we can calculate the rent for the 9th year:

Year 9: $1916.04 * 1.095 ≈ $2102.72

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Answer:

x = -2 and y = 1

Step-by-step explanation:

for details see image

The probability of an element being selected is 0.1

The probability of an element being selected on the first selection from a simple random sample of 40 elements from a population of 400 is 0.1

Explanation: Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.

Probability is used in statistical analysis to make predictions and draw conclusions about data.

In this question, the population consists of 400 elements, and a simple random sample of 40 elements is to be drawn from it.

The probability of an element being selected on the first selection is the same as the probability of any one of the 400 elements being selected, which is 1/400 or 0.0025.

Therefore, the correct answer is option (d) 0.1

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Answer:

21

Step-by-step explanation:

Let the three consecutive integers be;

    x , x + 1 and x + 2:

The sum of squares of the two smaller numbers:

  The two smaller numbers are x and x+ 1

Sum of their squares:

           x² + (x+1)²;

        x² + x² + 2x + 1 = 2x² + 2x + 1

It is 45 more than the square of the larger number:

    Larger number = x + 2

        (x+2)² = x² + 4x + 4

 45 more;

        x² + 4x + 4 + 45  = x² + 4x + 49

Both are equal:

 2x² + 2x + 1 =  x² + 4x + 49  

  2x² - x² + 2x - 4x + 1 - 49 = 0

      x² - 2x - 48 = 0

      x² - 6x + 8x - 48 = 0

      x(x - 6) + 8(x - 6) = 0

      (x + 8)(x-6) = 0

      x + 8 = 0 or x - 6 = 0

      x  = -8 or x = 6

We choose x = 6 because it makes the solution true as a positive integer

  Sum of the three numbers:

     x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21

The unknown angle in the triangle is as follows;

∅ = 19.17°

The angle in a triangle can be found using sine law. The law of sines can be used to finding the angle ∅, since two sides of the triangle and an angle is known.

Therefore, let's find ∅ using the sine law,

a / sin A = b / sin B = c / sin C

Hence,

7π / sin 130 = 3π / sin ∅

cross multiply

7π sin ∅ = 3π sin 130

divide both sides by 7π

sin ∅ = 3  / 7 sin 130

sin ∅ = 3 / 7 × 0.76604444311

sin ∅ = 0.32830457142

∅ = sin⁻¹ 0.32830457142

∅ = 19.1656248522

Therefore,

∅ = 19.17°

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Answer:

c

Step-by-step explanation:

The correct choice is A: (2,2,4) | 10x dx + 18y dy + 8z dz = 21 (0,0,0)

To check whether the differential form is exact, we need to calculate its curl:

curl(F) = (∂Q/∂y - ∂P/∂z)i + (∂R/∂z - ∂Q/∂x)j + (∂P/∂x - ∂R/∂y)k

Here, P = 10x, Q = 18y, and R = 8z. Substituting these values, we get:

curl(F) = (0 - 0)i + (0 - 0)j + (0 - 0)k = 0

Since the curl of F is zero, the differential form is exact. We can find a potential function f such that F = ∇f.

To find f, we integrate the differential form along any path from (0,0,0) to (2,2,4)

f(2,2,4) - f(0,0,0) = ∫CF · dr

where CF is the given differential form and the integral is taken along the path C. We can choose a simple path, such as a straight line from (0,0,0) to (2,2,4):

r(t) = ti + tj + 2tk, 0 ≤ t ≤ 1

Then CF · dr = 10x dx + 18y dy + 8z dz = (10t)i + (18t)j + (16t)k dt

Substituting for x, y, and z in terms of t, we get:

CF · dr = 10ti dt + 18tj dt + 16tk dt = d(5t^2 + 9t^2 + 8t^2/2)

Therefore, f(2,2,4) - f(0,0,0) = (5(1)^2 + 9(1)^2 + 8(1)^2/2) - (5(0)^2 + 9(0)^2 + 8(0)^2/2) = 21

Hence, the value of the integral is:

∫CF · dr = f(2,2,4) - f(0,0,0) = 21

Therefore, the correct choice is A: (2,2,4) | 10x dx + 18y dy + 8z dz = 21 (0,0,0)

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Answer:

the second one i think

Step-by-step explanation:

because both have 2 sides with 1 angle

Answer:

A

Step-by-step explanation:

The volume of a Cylinder is \(\pi \\\)*r^2 * h

In this problem I will use 3.14 as pi because it is easier to type

Water Tank X: 8.5*8.5*3.14*48=10,889.52

Water Tank Y: 9.5*9.5 *3.14*44=12,469.94

Water Tank Z: 10.5*10.5*3.14*32=11,077.92

So, A is correct.

The postulate that can be used to prove the two triangles are congruent is (c) None of the other answers are correct

The figure represents the given parameter

There are two triangles in the figure

Such that the triangles are similar triangles or congruent

From the question, we understand that the triangles are congruent

Also, we know that

UQ ≅ AC and QD ≅ AU

There is no point C on any of the triangles

This means that we cannot ascertain the congruency of the triangles

Hence, the true statement is (c)

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