Are these ratios equivalent?
16 shipments every 6 years
8 shipments every 3 years
yes
no

Answer:

3900

Step-by-step explanation:

let x= number of workers

we know that .15 (or 1-.85) of the people are not women

so

.15x=585

585/.15=x

3900=x

Note that the production possibility curve (PPF) for the data below is attached accordingly.

The Production Possibilities Frontier (PPF) is a graph that depicts all possible output combinations of two items that may be produced utilizing existing resources and technology. Scarcity, choice, and tradeoffs are all represented in the PPF.

The production possibility curve is significant because it may show the greatest number of items that can be produced given a particular set of resources. On a macroeconomic level, this can assist economists in analyzing and forecasting a country's productive activity or other units.

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Answer:

Step-by-step explanation:

Q5) 4/9 is 0.4 recurring not just “0.4”

Q6) 6 and 7

Q7) 5.385

Answer:

b=2/3, b=10/3

Step-by-step explanation:

first equation

6-3b=4

6=4+3b

3b=2

b=2/3

second equation

6-3b=-4

10=3b

b=10/3

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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There are no crictical numbers of the given function 12-5e^(-x).

Let's Consider

\(f(x) = 12 - 5*e^-x\).

What is critical number of a function.

If a number causes the derivative of an expression to equal 0, it is critical.

As a result, we must set the derivative of the expression to 0.

Local Maxima and Local Minima points are also consider as critical number of a function.

f`(x) = 0 or f`(x) =1/0 by solving both equation we can find all the critical points of a function f(x).

Derivative of given funciton f(x) is f`(x).

f`(x) = \(0 - 5*(e^-x)*(-1).\)

f`(x) = \(5*(e^-x)\).

f`(x) = 0

\(5*e^-x\) = 0

\(e^-x\) = 0

\(e^-x\) never going to zero because e^-x is an exponential decreasing function.

So there are no crictical numbers of the given function f(x).

So We enter none in this question.

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Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

Given the system of equation

-2x + 2y = - 16 ..... *5



5x - 3y = 28​ ....... *2

Use elimination method

Multiply equation 1 by 5 and equation 2 by 2

The equation becomes

-10x + 10y = - 80 ..... 3



10x -6y = 56 ....... 4

add equation 3 from 4;

10y - 6y = -80+56)

4y = -80+56

4y = -24

y = -24/4

y = -6

Subsitute y = -6 into equation -2x + 2y = - 16 to get x

-2x + 2(-6) = - 16

-2x-12 = -16

-2x = -16+12

-2x = -4

x = -4/-2

x = 2

Hence y = -6 and x = 2

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

\(c > -1\)

Step-by-step explanation:

\(2c-10 < 3c-9\\-10 < c-9\\-1 < c\\c > -1\)

Answer:

Step-by-step explanation:

4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9

Answer: c and E

Step-by-step explanation:

$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

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The expression in the lowest term will be 3^-1x³.

It should be noted that an expression simply has to do with the relationship that can be illustrated having a mathematical operator.

It should be noted that based on the information given, this will be illustrated as:

= 1/3(x³)

This can be illustrated as:

1/3 = 3^-1 multiplied by x³.

= 3^-1x³

This shows the concept of exponents.

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Answer:

\(21.9 * 10^{10}\)  Population of the Country Now .

Step-by-step explanation:

According to the Question,

Answer:

The answer is explained below

Step-by-step explanation:

The reason for making the regression is generally to make predictions. So one should ask in what situations is the resulting estimated regression line y = b0 + b1 * x useful. In other words, since there is a linear relationship between x and y, in what situations would it be valid to say that the knowledge of the value x is not useful to predict a corresponding y.

When the value of B1 (or, equivalently, of p) is zero. However, it is entirely possible that B1 is 0 while b1 (our estimate for) is not zero due to random fluctuations between samples. Therefore, we require an inference procedure.

One of the inference procedures is that the model utility test is used to determine if there is any useful relationship between the dependent variable and the specified values of the independent variables.

So before using an estimated regression model, we run a utility test of the model

Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.

The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.

Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.

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The area of the triangle is x + 1 cm², while the area of the rectangle is x cm². Therefore, there is no value of x that makes the areas of both figure equal, because there is no solution to the equation.

A triangle's area = 1/2(base)(height)

A rectangle's area = length × width.

Area of the green triangle = 1/2(x + 1)(2)

Area of the green triangle = x + 1 cm²

Area of the rectangle = x × 1

Area of the rectangle = x cm²

Setting both areas equal, we have:

x + 1 = x

x - x = -1

0 = -1 [not true]

There's no solution or the values of x.

Therefore, we can conclude that there are no values of x for which the areas of both shapes are equal, because there is no solution to the equation.

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The value of x is 48 in the given trapezoid.

A quadrilateral with one pair of parallel sides. It is a common shape in mathematics and is used in many fields. The area of a trapezoid is calculated by taking half of the sum of the lengths of the two bases and multiplying it by the height.

A trapezoid is a quadrilateral or a four-sided polygon that has one pair of parallel sides.

The length of the midsegment of trapezoid is half of the sum of the lengths of the two parallel sides.

By the given figure we can write;

\(RU = \frac{ST+QP}{2}\)

\(x=\frac{-x+77+x+19}{2}\)

\(x=\frac{96}{2}\)

After simplification; \(x = 48\)

The value of x is 48 in the given trapezoid.

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Answer:

(x + 8)(x - 2)(4x - 1)

Step-by-step explanation:

Given that x = - 8 is a zero then (x + 8) is a factor

Divide f(x) by (x + 8) using Synthetic division

- 8 | 4    23    - 70    16

        ↓  - 32      72   - 16

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

        4    - 9       2       0

Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)

Thus

f(x) = (x + 8)(x - 2)(4x - 1)

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

the answer is A

Step-by-step explanation:

so the numbers are just a fill in but yes the answer is A

Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The inequality is -8 < √74  < 9. A mathematical expression that's values on the left and right are not equal is referred to as having an inequality.

A mathematical expression that's values on the left and right are not equal is referred to as having an inequality. In essence, an inequality analyses any two values that demonstrates whether one is bigger than, less than, or neither greater nor equal to the other quantity. Numbers are compared using inequalities to determine a range of quantities that are contained inside the parameters of a variable.

Let A = √74

A² = 74

8² < A² < 9²

Hence, the inequality is -

8 < √74  < 9

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The expression 3^(3/2) is equal to ²√27. The 4th option is the answer

Index is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3. The 3 is called the base. The plural form of index is indices.

The expression 3^(3/2) can be written in form of root and power. That is:

3^(3/2) = ²√3³

3^(3/2) = ²√27

Therefore, the expression 3^(3/2) is equal to ²√27

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Answer:

0.625

Step-by-step explanation:

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

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

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6