(01.02 mc) solve for x: two thirds(x − 2) = 4x. a x = negative two fifths b x = negative five halves c x = two fifths d x = −2

Answer:

15

Step-by-step explanation:

3x - 2y = ?

3(7) - 2(3) = ?

21 - 6 = ?

= 15

All you have to do is substitute the given values & follow the order of operations! Best of luck.

It will take to complete the entire order of sneakers in 8 days.

To find out how long it will take to complete the entire order of sneakers, you need to multiply the time it takes to complete 1/10 of the order by the total number of orders. Since there are 10 orders in the entire order of sneakers, it will take 10 times as long to complete the entire order as it does to complete 1/10 of the order.

Since it takes 4/5 of a day to complete 1/10 of the order, it will take 4/5 * 10 = 8 days to complete the entire order. Therefore, the answer is 8 days.

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At given rate, it will take 8 days to complete the entire order of sneakers

In this questiion we have been given at Sami's Shoe Warehouse, it takes 4/5 day to complete 1/10 of an order of sneakers.

We need to find the number of days it will take to complete the entire order of sneakers, at this rate.

It takes 4/5 day to complete 1/10 of an order of sneakers.

If we multiply a fraction by 10 then it would be 10/10

This means, 10/10 represents the complete order of sneakers.

4/5 days are required to complete 1 of 10 order of sneakers.

For 10 of 10 order of sneakers:

By unitary method,

10 × 4/5

= 2 × 4

= 8 days

So, it will take 8 days to complete the order.

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Answer:

Step-by-step explanation:

The function is nonlinear.  Note that each new x value is obtained by adding 2 to the previous x value (spacing is 2), and that the y values don't follow such a pattern, but follow:

1 = 0 + 1

3 = 1 + 2

9 = 3 + 6

Answer:

\(2b - 4a \\ = (b - 2a)\)

Hope you understand

Answer:

\(\Large \boxed{2(-2a+b)}\)

Step-by-step explanation:

\(2b - 4a\)

Rearranging the expression.

\(-4a+2b\)

Factoring out 2 from the expression.

\(2(-2a)+2(b)\)

\(2(-2a+b)\)

Answer: The Z-score for the sample mean is 1.00. So, the correct answer is c. z = 1.00.

Given:n = 9,μ = 70 and σ = 18.

Explanation  To find the Z-score for the sample              mean, you can use the formula:

Z = (Sample mean - Population mean) / (σ / √n)

where Population mean (μ) = 70, σ = 18, and n = 9.

Z = (76 - 70) / (18 / √9) = 6 / (18 / 3) = 6 / 6 = 1.00

The Z-score for the sample mean is 1.00. So, the correct answer is c. z = 1.00.

Answer:

B) sin55/8 = sin30/b

Step-by-step explanation:

Just did it on AP3X :)

The exponential function that best models the data is:  P(t) = 0.164 * e^(0.0887t)

To determine the exponential function that best models the data, we need to use the general form of an exponential function:

P(t) = P0 * e^(kt)

where P0 is the initial population, k is the growth rate, and t is time in minutes.

We can use the given data to solve for P0 and k.

At t = 10, P(t) = 283, so we have:

283 = P0 * e^(k*10)

Similarly, we can write equations using the other data points:

395 = P0 * e^(k*20)
809 = P0 * e^(k*40)
1,589 = P0 * e^(k*60)
3,177 = P0 * e^(k*80)
6,417 = P0 * e^(k*100)

We can solve for P0 by dividing the equations for P(t) at different time points:

395/283 = e^(k*20) / e^(k*10)
809/395 = e^(k*40) / e^(k*20)
1,589/809 = e^(k*60) / e^(k*40)
3,177/1,589 = e^(k*80) / e^(k*60)
6,417/3,177 = e^(k*100) / e^(k*80)

Simplifying these equations, we get:

e^(k*10) = 395/283
e^(k*20) = 809/395 * (395/283)^-1
e^(k*40) = 1,589/809 * (809/395)^-1 * (395/283)^-2
e^(k*60) = 3,177/1,589 * (1,589/809)^-1 * (809/395)^-3 * (395/283)^-3
e^(k*80) = 6,417/3,177 * (3,177/1,589)^-1 * (1,589/809)^-4 * (809/395)^-6 * (395/283)^-4
e^(k*100) = (6,417/3,177)^-1 * (3,177/1,589)^-5 * (1,589/809)^-10 * (809/395)^-15 * (395/283)^-10

Now we can solve for k by taking the natural logarithm of each equation and solving for k:

k = ln(395/283) / 10
k = ln(809/395 * (395/283)^-1) / 20
k = ln(1,589/809 * (809/395)^-1 * (395/283)^-2) / 40
k = ln(3,177/1,589 * (1,589/809)^-1 * (809/395)^-3 * (395/283)^-3) / 60
k = ln(6,417/3,177 * (3,177/1,589)^-1 * (1,589/809)^-4 * (809/395)^-6 * (395/283)^-4) / 80
k = ln((6,417/3,177)^-1 * (3,177/1,589)^-5 * (1,589/809)^-10 * (809/395)^-15 * (395/283)^-10) / 100

After calculating k for each equation, we find that the values are approximately equal to 0.0887.

Therefore, the exponential function that best models the data is:

P(t) = 0.164 * e^(0.0887t)

where P(t) is the bacteria population in thousands at time t in minutes.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

2/3-4

3 1/3

-1*3.3=-3.3

-3 1/3 divided by 5/6

-4

so a

Hope This Helps!!!

Answer:

-2/3+4÷5/6

-2+12÷3÷5/6

10/3÷5/6

10/3x6/5

2/1x2/1

4/1

4

Step-by-step explanation:

hope this is helpful

Answer:

Infinitely Many Solutions

Step-by-step explanation:

5y+2=  (​10y+4)/2

5y+2= (2(5y+2) )/2

5y+2=5y+2

Infinitely Many Solutions

​​  

Answer: The answer is C hope this helps :)

Step-by-step explanation:

The approximate height of the ball from where it is dropped will be 115 cm. Then the correct option is C.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The height of a ball after its second bounce was 80 cm. The ball had a rebound factor of 0.7. Then the height of the ball from where it is dropped is given as,

0.7h = 80

h = 80 / 0.7

h = 14.3 cm

h ≈ 115 cm

The approximate height of the ball from where it is dropped will be 115 cm. Then the correct option is C.

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Answer:

Step-by-step explanation:

Solving the equation, it is found that it has no solutions, thus, the student is not correct.

Step-by-step explanation:

\( \frac{x}{6} = \frac{9}{20} \\ \)

\(x \times 20 = 9 \times 6\)

\(20x = 54\)

\(x = \frac{54}{20} \\ \)

\(x = 2.7\)

Answer:

8 ounces of honey

Step-by-step explanation:

Answer: smaller

Step-by-step explanation:

hope this helpsss

Answer:

The answer to this question depends on the values of the numbers involved. In general, when you multiply a number by a fraction, the product will be smaller than the largest factor if the fraction is less than 1. For example, if you multiply 5 by 1/2, the product is 2.5, which is smaller than 5. On the other hand, if you multiply a number by a fraction that is greater than 1, the product will be larger than the largest factor. For example, if you multiply 5 by 2/1, the product is 10, which is larger than 5.

In conclusion, the size of the product obtained from multiplying a number by a fraction depends on the values of the numbers involved and can be either smaller or larger than the largest factor.

The function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

A location where two or more straight lines or curves intersect is referred to as a vertex . A vertex in geometry is sometimes referred to as a corner or an intersection point. The phrase is frequently used to refer to the highest or lowest point on a curve or surface, the place where two lines intersect to make an angle, and the point where two sides of a polygon meet.

The vertex form of the equation of a parabola is given by:

\(y = a(x - h)^2 + k\)

where (h, k) represents the vertex of the parabola.

Using the given vertex and the point (6,0), we can find the value of "a" and plug it into the vertex form to get the equation of the parabolic path of the water stream.

Step 1: Find the value of "a"

Since the vertex is (3,5), we know that:

h = 3

k = 5

Using the point (6,0), we can find the value of "a" as follows:

\(0 = a(6 - 3)^2 + 5\)

\(0 = 9a + 5\)

\(9a = -5\)

\(a = -5/9\)

Step 2: Plug in the values of h, k, and a into the vertex form:

\(y = (-5/9)(x - 3)^2 + 5\)

Therefore, the function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

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Renting 0 trucks the Marginal Revenue (MR) = Not applicable, and Average Revenue (AR) = Not applicable. Renting 1 truck the Marginal Revenue (MR) = $P (since it's the additional revenue gained from renting 1 truck), Average Revenue (AR) = Total Revenue / Quantity = P / 1 = $P.

Renting 2 trucks Marginal Revenue (MR) = ($2P - $P) = $P (since it's the additional revenue gained from renting the second truck), Average Revenue (AR) = Total Revenue / Quantity = 2P / 2 = $P. Renting 3 trucks Marginal Revenue (MR) = ($3P - $2P) = $P (since it's the additional revenue gained from renting the third truck), Average Revenue (AR) = Total Revenue / Quantity = 3P / 3 = $P.

To help you with your question, we need to know the rental price per truck and the costs associated with renting these trucks. Since this information is not provided, I will assume a rental price of P dollars per truck. Based on this assumption, we can calculate total, marginal, and average revenue for Sendit when renting 0, 1, 2, or 3 trucks during the move-in week.

1. Renting 0 trucks:
Total Revenue (TR) = 0 * P = $0
Marginal Revenue (MR) = Not applicable
Average Revenue (AR) = Not applicable

2. Renting 1 truck:
Total Revenue (TR) = 1 * P = $P
Marginal Revenue (MR) = $P (since it's the additional revenue gained from renting 1 truck)
Average Revenue (AR) = Total Revenue / Quantity = P / 1 = $P

3. Renting 2 trucks:
Total Revenue (TR) = 2 * P = $2P
Marginal Revenue (MR) = ($2P - $P) = $P (since it's the additional revenue gained from renting the second truck)
Average Revenue (AR) = Total Revenue / Quantity = 2P / 2 = $P

4. Renting 3 trucks:
Total Revenue (TR) = 3 * P = $3P
Marginal Revenue (MR) = ($3P - $2P) = $P (since it's the additional revenue gained from renting the third truck)
Average Revenue (AR) = Total Revenue / Quantity = 3P / 3 = $P

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Answer: B(0,-6); C(-2,0)

Step-by-step explanation:

A was translated 4 units to the right (x) and 5 units down (y)

Do the same for the other points

B(-4+4, -1-5)                        C(-6+4, 5-5)

B(0, -6)                                C(-2, 0)

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Given statement "We conduct a test of hypothesis by assuming that ha is correct, since that is the hypothesis we are trying to show is true." is true. Because we start by assuming that the null hypothesis is correct, not the alternative hypothesis, when conducting a test of the hypothesis.

When conducting a test of hypothesis, we do not assume that Ha (the alternative hypothesis) is correct.

Instead, we begin by assuming that the null hypothesis (H0) is true.

The null hypothesis typically represents a statement of "no effect" or "no difference" between two groups or variables.

The alternative hypothesis (Ha) represents the statement we are trying to prove or gather evidence for but we must start with the assumption that the null hypothesis is correct.

State the null hypothesis (H0) and the alternative hypothesis (Ha).

The null hypothesis typically represents the status quo or a baseline assumption, while the alternative hypothesis represents the claim you want to prove or gather evidence for.

Determine the level of significance (α), which is the probability of rejecting the null hypothesis when it is actually true. Common significance levels are 0.05, 0.01, and 0.001.

Select an appropriate test statistic, which depends on the type of data and the hypothesis being tested. Examples include the t-test, chi-square test, and ANOVA.

Collect data and calculate the value of the test statistic based on the data.

Compare the calculated test statistic value to the critical value for the chosen level of significance.

If the test statistic is more extreme than the critical value, we reject the null hypothesis in favor of the alternative hypothesis.

Otherwise, we fail to reject the null hypothesis.

Hence, the statement is false.

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Answer:

Matrix calculator

Step-by-step explanation:

There are matrix calculators online with analytics steps

(a) To obtain a point estimate for the population proportion of patients who received 10-mg doses of a drug daily and reported headache as a side effect, we can use the formula:

Point estimate = number of patients who reported headache / total number of patients

So, in this case, the point estimate would be:

42/150 = 0.28 or 28%

Therefore, we can estimate that 28% of patients who received 10-mg doses of the drug daily reported headache as a side effect.

(b) To verify the requirements for constructing a confidence interval about p, we need to check if the sample size is large enough and if the conditions for using a normal distribution are met.

Firstly, since the sample size (n=150) is greater than 30, we can assume that the sample proportion is normally distributed.

Secondly, we need to check that the conditions for using a normal distribution are met. These are:

- The sample is selected randomly
- The sample is independent
- The sample size is less than 10% of the population size (if applicable)

Assuming that the sample was randomly selected and independent, we do not have information about the population size, but we can assume that it is sufficiently large. Therefore, we can conclude that the requirements for constructing a confidence interval about p are satisfied.

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Using the congruent theorem,

a. ∠XBC will be equal to ∠AXY as the lines are parallel to each other for which the angles are corresponding to each other.

b. ∠BXC = 70°

Equal amounts of angles are referred to as congruent angles. As a result, congruent angles are those whose measures are the same. They can be found anywhere, including in isosceles triangles, equilateral triangles, and situations where a transversal joins two parallel lines.

Here in the question,

∠AXY = 55°

XY ║ BD

XB = XC

a.

So, from the figure:

∠XBC will be equal to ∠AXY as the lines are parallel to each other for which the angles are corresponding to each other.

So, ∠XBC = ∠AXY =55°

b.

Now,

In ΔXBC, XB = XC

So, ∠XBC = ∠XCB = 55°.

As per angles in a triangle,

∠XBC + ∠XCB + ∠BXC = 180°

⇒ ∠BXC = 180 - 55 - 55

⇒ ∠BXC = 70°

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Your answer is option b)

The time at which a star rises shifts approximately 4 minutes earlier each day, due to Earth's orbit around the Sun. Since there are roughly 30 days in a month, we can calculate the change in the rise time of Aldebaran over the course of a month.

Step 1: Calculate the time change over one month
30 days * 4 minutes per day = 120 minutes

Step 2: Convert minutes to hours
120 minutes ÷ 60 minutes per hour = 2 hours

Step 3: Subtract the time change from the current rise time
2:00 am - 2 hours = 12:00 am (midnight)

Therefore, you can expect Aldebaran to rise next month at midnight. The correct answer is b) midnight.

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The value of S = 1/2[1+1/2] = 3/4 Hence, the sum of the given series is 3/4. Therefore, the series converges and its sum is 3/4.

The series ∑k=1∞1/(k^2 − 1) is divergent. This series is the telescoping series of the form S = ∑(n=2 to infinity) [1/(n - 1)(n + 1)]

The partial fraction of this series will be shown below:  1/(n-1)(n+1) = 1/2[(1/n-1) - (1/n+1)]

Thus, S = 1/2[1/1 - 1/3 + 1/2 - 1/4 + 1/3 - 1/5 + 1/4 - 1/6 + ...]

The first term 1/1 in the right bracket cancels with -1/3 and the 1/2 cancels with -1/4, and so on.

This leaves S = 1/2[1 + 1/2 - 1/(n)(n+1)]

We know that the limit of the third term as n approaches infinity is zero since 1/n(n+1) approaches zero as n approaches infinity.

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