To make the bowling team. Jacques needs a three-game average of 160. If he bowled 141 and 162 for the first two games, what score S must be obtained in the third game so that his average is at least 160?

The left bottom sector will be the next shape that is going to be shaded.

Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Let assign a number of shading to the various sector of the circle,
1 =  the top left sector
2 =  the bottom left sector
3 =  the bottom right sector
4 =  the bottom right sector

Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 =  the bottom left sector

Thus, the left bottom sector will be the next shape that is going to be shaded.

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Fraction 3/2 squared in fraction form is 9/4.

A fraction represents a part of a whole.

Given,

The fraction is 3/2

In the given fraction the numerator is three and denominator is 2

Three by two which is a improper fraction

We have to square 3/2

Three by Two whole square

(3/2)²

Three square by two square

3²/2²

Nine by four

9/4

Hence fraction 3/2 squared in fraction form is 9/4.

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1/2 cup + 1/2 cup = 1 cup

so four 1/2 cups = 2 cups

 so five 1/2 cup servings = 2 1/2 cups

 answer is 5

Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.

Answer:

4 units

Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.

To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:

Therefore, Daniel will pay $4,800 in taxes for the year.

Answer:  Option 'D' is correct.

Step-by-step explanation:

Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.

Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.

Hence, Option 'D' is correct.

Final answer:

The number of desktop internet users is 3 times larger than the number of mobile internet users.

Explanation:

To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.

The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.

Now, we divide the number of desktop internet users by the number of mobile internet users:

1,200,000,000 / 400,000,000 = 3

Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.

Answer: 8

Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]

We need to factor this, so

[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]

[tex]4096 = 2^{12}[/tex]

We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]

This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}}  = 2.2.2=8[/tex]

Answer:

The exact approximate solution is x=-3.              

Step-by-step explanation:

Given : Expression [tex]2^x=3^{x+1}[/tex]

To find : What are the exact approximate solutions?

Solution :

Step 1 - Write the expression

[tex]2^x=3^{x+1}[/tex]

Step 2 - Taking log both side,

[tex]\log(2^x)=\log(3^{x+1})[/tex]

Step 3 - Applying logarithmic property, [tex]\log a^x=x\log a[/tex]

[tex]x\log(2)=(x+1)\log(3)[/tex]

Step 4 - Solve

[tex]x(\log(2)-\log(3))=\log(3)[/tex]

[tex]x=\frac{\log(3)}{(\log(2)-\log(3))}[/tex]

[tex]x=\frac{\log(3)}{\log(\frac{2}{3})}[/tex]

[tex]x=\frac{0.477}{-0.176}[/tex]

[tex]x=-2.710\approx -3[/tex]

Therefore, The exact approximate solution is x=-3.

Answer:

D edge

Step-by-step explanation:

The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. The domain of the function y = 3(2^-x) is all real numbers, as there are no restrictions on x from the form of the function itself.

The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. This is because for the function given, there are no restrictions on the values that x can take. The base of the exponent, 2, is positive and since exponents can take any real number, negative or positive, there is nothing to prevent any real x from being used as an input. Furthermore, since the function does not contain any terms that would result in undefined operations, such as division by zero or negative numbers under an even root, the domain remains unrestricted.

Answer: The correct option is second, i.e., Subtraction Property of Equality.

Explanation:

The given equation is,

[tex]5x+7=2x-1[/tex]

The Subtraction Property of Equality states that if a, b and c are real numbers then, [tex]a=b[/tex] and [tex]a-c=b-c[/tex] are equivalent equations.

Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,

[tex]5x+7-2x=2x-1-2x[/tex]

Then combined like terms,

[tex](5x-2x)+7=(2x-2x)-1[/tex]

[tex]3x+7=-1[/tex]

It is the required equation.

Hence, second option is correct.

To find the number in question, an equation is set up and solved, resulting in the number 12, which satisfies the given conditions where 75% of the number added to 6 equals 3 more than the number itself.

The question asks to find a number such that when 75% of it is added to 6, the result is 3 more than the number itself. To find this number, we can set up an equation: Let the number be represented by x. So, we have 0.75x + 6 = x + 3. To solve for x, we subtract 0.75x from both sides of the equation to get 6 = 0.25x + 3. Next, we subtract 3 from both sides to get 3 = 0.25x. Finally, dividing both sides by 0.25 gives us x = 12. Therefore, the number we are looking for is 12

Final answer:

The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.

Explanation:

To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.

The volume of the cube is 27 cubic units.

Volume = side length × side length × side length

Given:

the side length of the cube is 3 units,

we can calculate the volume as follows:

Side length = 3 units

Volume = 3 units × 3 units × 3 units

              = 27 cubic units

So, the volume of the cube-shaped cell is 27 cubic units.