2 with an exponent of -2

Answer:0.5

Step-by-step explanation:

Answer:

PRIME

Step-by-step explanation:

the GCF of 64 and 27 is 1

>therefore the polynomial is already factored and can’t be factored further.

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

Step-by-step explanation:

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

Answer:

x = 5

Step-by-step explanation:

Start by distributing the 5 to remove parentheses.  To do this multiply the numbers and variable in the parentheses by 5.

10x - 20 - 11 = 4 + 3x

Next. you want to get the variables to one side.  This is done by subtracting 3x from both sides.

7x - 20 - 11 = 4

Now solve the -20 - 11.

7x - 31 = 4

You need to have the variable all by itself.  To do this, first add -31 to both sides.

7x = 35

Finally divide by 7.

x = 5

Hope this helped.  

Final answer:

To find the two numbers, set up a system of equations and use the method of elimination to solve. The two numbers are 5/2 and 13/8.

Explanation:

To find the two numbers, we can set up a system of equations. Let's say the two numbers are x and y. We have the following information:

x + y = 4 1/8

x - y = 7/8

To solve this system, we can use the method of elimination. We can add the two equations together to eliminate the variable y:

(x + y) + (x - y) = 4 1/8 + 7/8

2x = 5

x = 5/2

Substituting this value back into one of the original equations, we can solve for y:

(5/2) + y = 33/8

y = 33/8 - 5/2

y = 33/8 - 20/8

y = 13/8

Therefore, the two numbers are 5/2 and 13/8.

Answer:

9

Step-by-step explanation:

Julie has 27 necklaces and 54 earrings.

Let's assume Julie has x necklaces. Since she has twice as many earrings as necklaces, she would have 2x earrings.

We know that Julie has a total of 81 pieces of jewelry, which includes both necklaces and earrings. Therefore, we can set up a system of equations to represent the given situation:

Equation 1: x + 2x = 81

In Equation 1, we add the number of necklaces (x) and the number of earrings (2x) together, resulting in 81, which is the total number of pieces of jewelry Julie has.

Now, we can solve Equation 1 to find the value of x:

3x = 81

x = 81 / 3

x = 27

So, Julie has 27 necklaces.

To find the number of earrings she has, we can substitute the value of x back into the equation:

2x = 2 * 27

2x = 54

Thus, Julie has 54 earrings.

To know more about equation here

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Complete Question:

julie has 81 pieces of jewelry. she has twice as many earrings as she has necklaces How many of each does julie have? Write a system of equations for the situation. (two seperate equations ). find the solution.

Final answer:

Using basic algebra, Julie has 27 necklaces and 54 earrings. We found this by setting up the equation 2N + N = 81, solving for N (number of necklaces), and then multiplying by 2 to get the number of earrings.

Explanation:

The student's question regarding Julie's 81 pieces of jewelry can be solved using basic algebra. We know that the number of earrings is twice the number of necklaces. Let's define the following:

We're given that T = 81, so we can substitute E with 2N to get the equation:

Hence, Julie has 27 necklaces. Now we can find the number of earrings:

Therefore, Julie has 54 earrings and 27 necklaces.

Answer:

7 and 1/4 or 7.25

Step-by-step explanation:

28/4 = 7

1/4 = 0.25

7 + 0.25 = 7.25

Answer:

[tex]\frac{29}{4}[/tex] or [tex]7\frac{1}{4}[/tex]

Step-by-step explanation:

29/4 is the most simplified it can get, if you want it as a mixed fraction then it is 7 1/4.

Answer:

-9 is correct

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

<3

Answer:

Mean

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well, if they use the mean to compare their scores, it is basically just averaging them. If they each average their own scores, they can see who did better!

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

Answer:

-1/4(8x+12y)=-2x-3y

The expanded equivalent expression of -1/4(8x+12y) is -2x - 3y.

The given mathematical expression is: -1/4(8x+12y). To expand and simplify this expression, we need to apply the distributive property of multiplication over addition, which means we multiply -1/4 with both 8x and 12y separately. So, the first step would be -1/4 * 8x which becomes -2x. Doing the same for the second term, -1/4 * 12y, the result will be -3y. Therefore, the equivalent expanded expression becomes

-2x - 3y

.

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Answer: D

Step-by-step explanation: In this problem, we want find the difference between each of the x-term and each of the y-terms.

Let's begin with the x-terms.

Notice that the difference between 1 and 0 is +1, the difference between 2 and 1 is +1, the difference between 3 and 2 is +1, and the difference between 4 and 3 is +1.

Now, looking at the y-terms.

The difference between 5 and 2 is +3, the difference between 8 and 5 is +3, the difference between 11 and 8 is +3, and the difference between 14 and 11 is +3.

To write an equation, we need to know the multiplier and the base.

The multiplier will be equal to the change in y over the change in x.

The change in y is always +3 and the change in x is always +1.

So we have [tex]\frac{+3}{+1}[/tex] which is equal to +3.

This means that the multiplier is equal to 3.

Next, we want to find the base or the value of y when x is equal to 0. The base is equal to  when x is equal to 0.

Now to write an equation from the data in the table, we begin with the equation y = mx + b where m is the multiplier and b is the base.

We know that the multiplier is 3 and the base is 2.

So we have y = 3x + 2.

So your answer is D.

The problem involves an algebraic expression where Ben, Tracy, and Tran each spend an equal amount, n, on skate rentals that total $15. By setting up an equation, we solve for n, which is $5 per person. This concept is related to understanding budget constraints in financial decision-making.

The student's question about Ben, Tracy, and Tran spending a total of $15 to go skating where they each rented skates for n dollars pertains to algebraic expressions and equations, which is a mathematics concept commonly explored in college-level courses. If we assume that each of them paid an equal amount for the skate rental, represented by n, then we can express the total cost as 3n because there are three individuals.

Given that the total cost was $15, we can set up an equation: 3n = $15. To find the cost of renting skates per person, we solve for n by dividing both sides of the equation by 3, resulting in n = $5. Therefore, each person paid $5 to rent the skates.

Understanding how to solve this problem helps in grasping the concept of budget constraints, as seen in the example of Janet Bain who must decide how to allocate a limited budget of $250 for activities such as skiing and horseback riding. This topic relates to the decision-making processes regarding spending within the constraints of a budget, which is essential in both personal and organizational finance.

Answer:

i am taking the test now and its going left on negative 3 open circle

Step-by-step explanation:

Answer: The answer is not 1 it's 2

Step-by-step explanation:

Multiply 4*1 to get 4

Multiply 1*2 to get 2

Your answer should be 4/2 which equals 2

Answer:

10x+9

Step-by-step explanation:

You first have to multiply 3 into the parenthesis because you have to use distributive property.

Once you do that you get 3x+9+7x.

Combine like terms.

10x+9

Answer:

4-12X

Step-by-step explanation:

Expression: (x+2)-(1x-2)-12x

First step: x+2-1x+2-12x

Second step: (2+2)+(x-1x-12x)

Third step: 4-12X

Answer:

135000

Step-by-step explanation:

1500 x 3 x 30

so u start out with ur number u have now then u multiply that by 3 because it triples every year and it askes the population in 30 years so its 1500x3x30 = 135000 ur welcome

Set up a system of equations:

B=2+3C

B+C=90

The variable B is already solved, so plug into bottom equation:

2+3C+C=90

2+4C=90

4C=88

C=22

Plug C back in:

B+22=90

B=68

So B is 68 degrees and C is 22 degrees

Hope this helped!

Supplementary angles add up to 180 degrees. If one angle measures 56 degrees, the other supplementary angle equals 180-56 which equals 124 degrees. So, the second angle measures 124 degrees.

Supplementary angles are two angles that add up to 180 degrees. Therefore, if one of these angles measures 56 degrees, the other one must be the value that when added to 56 completes 180. We can find it by using the formula for supplementary angles: angle B = 180 - angle A.

So, to find the measure of the second angle, we subtract the measure of the first angle (56 degrees) from 180 degrees.

Angle B = 180° - 56° = 124°.

Therefore, the second angle measures 124 degrees (Choice D).

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Answer:

Explanation:

The student used convenience sampling.

The population of the study is the entire population of students of the school.

Since it is time consuming to survey all the students, the high school volunteer student needs to survey a sample.

A systematic random sample would have used a procedure, algorithm,  method (a system) to select a random sample. This is not what the student did, thus the first option is incorrect.

A voluntary sampling consits of volunteer people who agree to take part in the study and answer the survey. This isn't either how the sample was choosen, thus the second option is also incorrect.

A convenience sample is when the sample is chosen for the researcher's ease, i.e. convenience. In this case, the student decided to survey only members of his class instead of selecting a representative sample of all the classes. This sample is not random, since not every member of the population has equal chances to be chosen, but it is easy for the student to survey a group that is very close to him. Hence, the third statement is correct.

The was not an statrified sampling (fourth choice), since statrified sampling consists in creating different groups and chosing some members from every group. This is not what the researcher did.

Answer:10x+9

Step-by-step explanation:

First you have to multipy the 3 into the parenthesis using distributive property.

After that you get 3x+9+7x.

Then you get 10x+9 because you can only combine like terms

Answer:

15 units²

Step-by-step explanation:

The figure is composed of 2 rectangles.

The rectangle on the left has

A = 4 × 3 = 12 units²

The rectangle on the right has

A = (3 - 2) × (7 - 4) = 1 × 3 = 3 units²

Thus area of figure = 12 + 3 = 15 units²

To find the area of an irregular polygon, divide it into regular shapes and sum their areas. The area of a square is simple: side length squared. When scaling, areas of similar shapes increase by the square of the scaling factor.

To calculate the area of an irregular polygon, we often need to divide it into regular shapes such as triangles, rectangles, or squares. Once we do that, we can calculate the area of each shape and then sum all the areas to find the total area of the irregular polygon. For instance, if an irregular shape fits within a square of side a, its area is less than a² based on the premise that the area of a circle inscribed in a square is smaller than the square's area yet larger than half. For a square, the calculation is relatively straightforward with the formula for area being side length squared (a²).

Calculating the area becomes even more important when applied to real-life examples, such as surveying land parcels which can have highly irregular outlines. The concept is similar to understanding the relationship between the area of a square and its side length when measuring larger plots of land like a state or a carpet on a house's blueprint. We use scales or conversion factors to translate a drawn measurement to actual size.

The comparison of areas can also be seen in the example where Marta's larger square's area is four times that of the smaller one because areas of similar shapes scale by the square of the scaling factor (in this case, 2).

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Answer:It  equals -7/20 because Here's how to convert 0.35 to a fraction... There is not much that can be done to figure out how to write 0.35 as a fraction, except to literally use what the decimal portion of your number, the .35, means. Since there are 2 digits in 35, the very last digit is the "100th" decimal place. So we can just say that .35 is the same as -35/100. The fraction -35/100 is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 5. Why divide by 5? 5 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 35 and 100.

So, this fraction reduced to lowest terms is -7/20.

So your final answer is: 0.35 can be written as the fraction -7/20

Hope this helps... Plz mark me brainliest if the answer is correct... Stay safe and have a great weekend!!! :D

Answer:

Multiplication

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

-Since there are parentheses you do that first, so multiplication.

Final answer:

The first operation to perform when simplifying the expression is D: Multiplication, specifically within the brackets where it states 54 × 6. The answer is option D.

Explanation:

When simplifying the expression 63 − (2 + 54 × 6) ÷ 5, according to the order of operations, commonly known as PEMDAS or BEDMAS, we must first perform the operation in the Brackets (in American English, Parentheses are used instead of Brackets).

Within the brackets, the correct sequence of operations is Exponentiation, Multiplication/Division (from left to right), and then Addition/Subtraction (from left to right). Since there is no exponentiation in the brackets, we start with multiplication (54 × 6), which will affect the result within the brackets before performing the addition (2 + ...) and then division ÷ 5. Therefore, the first operation to perform is D: Multiplication.

See the graphs below

FOR GRAPH 1:

Let's take:

[tex]f(x)=sin(x)[/tex]

Let's transform this function as follows:

Step 1. Horizontal compression by 1/2:

[tex]f(x)=sin(2x)[/tex]

Step 2. Vertical stretch:

[tex]f_{1}(x)=2sin(2x)[/tex]

Step 3. Vertical shifting 3 units down

[tex]f_{2}(x)=2sin(2x)-3[/tex]

Finally:

[tex]h(x)=f_{2}(x)=2sin(2x)−3[/tex]

The graph is shown in the First Figure below.

FOR GRAPH 2:

Applying a similar method we get:

The graph is shown in the Second Figure below.

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To graph h(x) = 2sin(2x) - 3 and g(x) = 4cos(2x) - 2, multiply the sine and cosine functions by 2 and 4 for amplitude, adjust the period by halving it due to the 2x factor, and shift vertically by -3 and -2 respectively.

To graph h(x) = 2sin(2x) - 3 and g(x) = 4cos(2x) - 2, you can follow these steps:

The resulting graphs will show sine and cosine waves with adjusted amplitudes, periods, and vertical shifts. Remember to use 3.14 as an approximation for π to determine the x-values where key points like maxima, minima, and intercepts occur.

Answer:

Step-by-step explanation:

C! hopes this helps

Answer:

2y-2y=0

9x=54

x=54/9

x=6