Rewrite the following without an exponent. (-2)^2

2x -1 + x + x + 1= 180

2x+x+x-1+1=180 ( combine like terms)

2x+2x-1+1=180

-1+1=0

2x+2x+0=180

4x+0=180

4x=180

divide both sides by 4 to get x by itself

4x/4=180/4

x=180/4

Answer: x=45

Answer:

Box 1: Quadrant I

Box 2: Quadrant II

Box 3: Quadrant III

Hope this helps.

Answer:

1/66

Step-by-step explanation:

0.0151515 can be converted to the fraction 5/333.

Repeating decimals can be converted to fractions by setting the repeating part as x and subtracting the non-repeating part.

For example, to convert 0.0151515 to a fraction, let x = 0.015 and y = 0.1515, then subtract them: x = 0.015, 1000x = 15, y = 0.1515, 10000y = 1515. Subtract both: 999y = 1500 - 15 = 1485.

Therefore, the fraction is 0.0151515 = 15/999 = 5/333.

The area of the circle given the circumference is B. 98 inches².

The circumference of a circle is calculated by the formula:

= π x diameter

You can therefore find the diameter given the circumference:

35 = 22/7 x diameter

Diameter = 35 / 22/7

= 11.14 inches

The radius is half of the diameter:

= 11.14 / 2

= 5.57 inches

Area of a square is:

= π x radius ²

= 22/7 x 5.57 x 5.57

= 97.51 inches²

= 98 inches²

In conclusion, the area of the circle is closest to 98 square inches.

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Answer:

the bread will cost around 28 dollars.

Step-by-step explanation:

To estimate the future cost of a $1.42 loaf of bread in 25 years based on inflation, we can use the compound interest formula with an assumed average inflation rate.

To calculate how much a $1.42 loaf of bread will cost in 25 years based on inflation, we need to consider the rate of inflation over that period. However, without that specific data, we can estimate the future cost of the bread using past inflation rates.

Let's assume an average inflation rate of 2% per year. To calculate the future cost, we can use the formula for compound interest: Future Price = Present Price * (1 + Inflation Rate)^Number of Years

For the loaf of bread, the future price will be: $1.42 * (1 + 0.02)^25 = $2.63

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Hey!

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Solution:

5x² + (-7x) + 5 + 4x² + 9x + (-10)

(5x² + 4x²) + (-7x + 9x) + (5 + (-10))

9x² + 2x + (-5)

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Answer:

9x² + 2x + (-5)

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Hope This Helped! Good Luck!

Answer:

15ft

Step-by-step explanation:

you have to add 11 and 4 to get 15

The change of elevation of the diver is of 15 metres.

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Answer:

an rectangle

Step-by-step explanation:

because it is 7 inches and it is 3/4 inches

Answer:

30

Step-by-step explanation:

First find 20% of 25

25 x .20 = 5

Then add the product to the original number

25 + 5

Your answer is 30.

Hey!

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Solution:

1/2 are younger than 10.

1/20 are 10 years old.

1/10 are older than 10 but younger than 12.

70 are 12 years old.

Find Common Denominators.

1/2 = 10/20

1/20 = 1/20

1/10 = 2/10

Add.

10/20 + 1/20 + 2/10 = 13/20

Subtract.

20/20 - 13/20 = 7/20

So we now see that 7/20 = 70

Now we can see that 1/20 = 10

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Answer:

There are 10 students that are 10 years old.

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Hope This Helped! Good Luck!

Answer:

10

Step-by-step explanation:

0.50 = x<10

0.05 = 10

0.10 = 10<x<12

70 students = 12+

How many are 10 yrs old?

0.50 + 0.05 + 0.10 = 0.65

To find the percent, multiply it by 100

0.65 * 100 = 65%

70 are 35%

70/0.35 = 200 total

200 * 0.05 = 10 ten-year-old students

10

Answer:

The correct option is the first one. An animal skull

Step-by-step explanation:

The correct option is the first one. An animal skull

The radiocarbon dating, also referred to as carbon -14 dating, is used for the determining of the age of an object containing organic matter based on the properties of the radiocarbon.

The age detection of the ancient objects are very tough,due to no records are available about the objects.

That's why scientists use carbon-14 dating process.

In this picture, the only object that contains organic material is the animal skull, thus it is the only one that can be dated with this method.

Answer:

The correct option is animal skull

Step-by-step explanation:

Carbon-14 dating is a method for determining the age of an object containing organic material by utilising the properties of a radioactive isotope of carbon. As we have no records of the object, it's become very difficult to detect the age of an object . In such a situation, carbon-14 dating process helps .

In the given picture, animal skull is the only object that contains organic material , so it is the only object for which  geologist would use carbon-14 dating to determine age.

Therefore, the correct option is animal scull ( first one )

Answer:

41 - i

Step-by-step explanation:

note that i² = - 1

Given

(3 + 7i)(2 - 5i) ← expand the factors using FOIL

= 6 - 15i + 14i - 35i² ← collect like terms

= 6 - i + 35

= 41 - i ← in standard form

300

Step-by-step explanation:

It’s in the hundreds place

Answer:

Step-by-step explanation:

Do 28x15 then 28x2 and add those up

Answer:

$896

Step-by-step explanation:

We are given that

Charge of 1 yard for each custom-made banner=$28

Length of 1 piece=15 yards

Length of another piece=2 yards

We have to find that how much money payed by Ms.Gill for all three banners.

According to question

Cost of 15 yards long banner=[tex]28\times 15=[/tex]$420

Cost of 2 piece of 15 yards long banner=[tex]420\times 2[/tex]=$840

Cost of 2 yards long banner=[tex]2\times 28[/tex]=$56

Total cost of 3 piece of banners=840+56=$896

Hence, Ms gill pay for all three banners=$896

Both of the digits in the hundreds and tens place are 4, making it a relationship. The 4 in the hundreds place is worth 400, the 4 in the tens place is worth 40, and the 0 in the ones place is worth 0.

Hope this helped!

Nate

Answer:

In 180 days the three of them will do their laundry again on the same day.

Step-by-step explanation:

we need to find the least common factor or 9, 10 and 12:

LCM(9, 10, 12) = 180

Answer:

5 square root 9

Step-by-step explanation:

A rational number is a number that can be put in fraction form.

You can easily take the square root of 9 to get 3, which you can multiply by 5 to get 15.

Since you can make 15 into 15/1, which is a fraction, it is rational.

Answer:

The correct graph is b)

Step-by-step explanation:

To solve this problem you have to think about the graph of |x|, and traslate 2 units up, in "y" axis beacuse +2 is outside the |x|. If +2 were inside |x| (|x+2|), you have tyo traslate 2 units to the left.

The graph that represents the equation y =|x|+2 is option B.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is y=|x|+2

y equal to mod x plus two.

y=|x|+2

Let us find the graph by finding few x and  y values of the equation.

x       0         1          2        3

y        2        3         4         5

The given points are exactly pointed in the second graph.

Hence, the graph that represents the equation y =|x|+2 is option B.

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Hope it helps.

If you have any query, feel free to ask.

Answer:

let me fill your answer with this picture

Step-by-step explanation:

48.75 i belive

Answer:

[tex]6.73 \times {10}^{ - 8} [/tex]

Step-by-step explanation:

7.4 × 10 ^-8 - 6.7 × 10^-9

= 7.4 × 10^-8 - 0.67 × 10^-8

= (7.4 - 0.67) × 10^-8

= 6.73 × 10^-8

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The angles are 18° and 72° respectively.

Since, we are told that they are complementary angles, that means that their sum will be equal to 90°

Therefore E + F = 90°

Based on the question, E = F + 54°. Therefore, E + F = 90°.

F + 54° + F = 90°

Collect like terms

2F = 90 - 54°

2F = 36°

F = 36°/2 = 18°

The value of F is 18°

Therefore, E = F + 54° = 18° + 54° ,= 72°

The angles are 18° and 72°.

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The measure of angle E is 72 degrees and the measure of angle F is 18 degrees.

Let's represent the measure of angle E as x and the measure of angle F as y. Since the angles are complementary, we know that x + y = 90. We also know that x = y + 54. By substituting the value of x into the first equation, we get (y + 54) + y = 90, which simplifies to 2y + 54 = 90. Solving for y, we find that y = 18. Substituting this value back into the equation for x, we get x = 18 + 54 = 72. Therefore, the measure of angle E is 72 degrees and the measure of angle F is 18 degrees.

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Answer:

5.833

Step-by-step explanation:

SIX MINUS 0.617 IS 5.833

Answer:

28 meters²

Step-by-step explanation:

We can break the shape into two rectangles. One of the rectangles has length 5 and height 2. The other rectangle has a height of 6 and a width of three. You can refer to the attached image.

To find the total area, we simply have to sum the areas of the two rectangles.

[tex]A = 5*2 + 6*3\\A = 10 + 18\\A = 28[/tex]

The total are of the shape is 28 meters²

Answer:

28 m²

Step-by-step explanation:

The figure is composed of 2 rectangles

The right rectangle has sides 3m and 6 m

The left rectangle has sides 5 m and (6 - 4) = 2 m

The area (A) of the figure is the sum of the 2 rectangles which form it

A = (3 × 6 ) + (5 × 2 )

   = 18 + 10

   = 28 m²

[tex]\huge\boxed{-3}[/tex]

All of the other expressions are equal to a positive [tex]3[/tex].

Absolute value finds a number's distance from zero, which basically removes its negative sign if it has one, making the number positive.

[tex]|3|=3[/tex]

[tex]\boxed{-3=-3}[/tex]

[tex]|-3|=3[/tex]

[tex]3=3[/tex]

Answer:

-3.

Step-by-step explanation:

That would be -3 because it is negative.

|3| 3 and |-3|  are all positive.

|-3| means the absolute value of -3, which is positive.

the answer would be 32

'

Answer:

32

Step-by-step explanation:

3/4 of what number is 6 times 4?

[tex]\frac{3}{4}x = 6(4)[/tex]

[tex]\frac{3x}{4} = 24[/tex]

[tex]3x = 24.4[/tex]

[tex]3x = 96[/tex]

[tex]x = \frac{96}{3}[/tex]

[tex]x = 32[/tex]

Answer:

n=-2n-12

Step-by-step explanation:

Distribute the -3 to 2n-4, which equals -6n+12. Putting your whole equation back together, you will have -8-n=-6n+12. If you add 8n over to the other side, your equation becomes -n=2n+12. Now all you have to do here is divide the negative from -1 thats in front of n from 2n+12, making your answer n=-2n-12.

To solve the linear equation -8 - n = -3(2n - 4), we distribute, combine like terms, and isolate the variable to find that n = 4.

The equation presented, -8 - n = -3(2n - 4), is a linear equation where the goal is to solve for the variable n. We start by simplifying and rearranging the equation to isolate n on one side. To solve the equation:

Distribute the -3 through the parentheses on the right side: -8 - n = -6n + 12.

Move all terms involving n to one side by adding 6n to both sides: -8 + 6n - n = 12.

Combine like terms: -8 + 5n = 12.

Next, add 8 to both sides to isolate the term with n: 5n = 20.

Finally, divide both sides by 5 to solve for n: n = 4.

Answer:

Part 1) Is a cubic expression

Part 2) The quadratic expression is 12x² + 8x − 1

Step-by-step explanation:

Part 1) Classify the expression: 5x³ + 2x − 3

we know that

Polynomials can be classified two different ways - by the number of terms and by their degree.

so

a) By the number of terms is a trinomial, because has three terms

b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable

The highest exponent is 3 so this is a 3rd degree trinomial  

therefore

Is a cubic expression

Part 2) Choose the expression that represents a quadratic expression

we know that

If the expression is a quadratic equation , then the highest exponent of the variable is 2

therefore

The quadratic expression is 12x² + 8x − 1

Answer:

1. Cubic expression

2. [tex]12x^2+8x-1[/tex]

Step-by-step explanation:

1. We have the expression [tex]5x^3+2x-3[/tex] and we have to classify it.

A quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].

We can see that the first term is squared. And in the expression that we have to classify the first term is raised to the cubic, then it isn't a quadratic expression.

A linear expression has the form [tex]ax+b[/tex].

We can see that it only has two terms and the first term has exponent 1. The expression [tex]5x^3+2x-3[/tex] has 3 terms and the first term has exponent 2 then it isn't a linear expression.

A cubic expression has the form[tex]ax^3+bx^2+cx+d[/tex].

We can see that the first term is raised to the cubic. And [tex]5x^3+2x-3[/tex] is raised to the cubic.

We can rewrite it: [tex]5x^3+2x-3=5x^3+0x^2+2x-3[/tex]

[tex]a=5\\b=0\\c=2\\d=-3[/tex]

The expression [tex]5x^3+2x-3[/tex] agrees with the definition of a cubic expression. Then it's a cubic expression.

An Exponential expression has the form [tex]y=ab^x, a>0[/tex]

2. We said that a quadratic expression has the form [tex]ax^2+bx+c,a\neq 0[/tex].

Then the expression that agrees with the definition is [tex]12x^2+8x-1,a\neq 0[/tex]

With,

[tex]a=12\\b=8\\c=1[/tex]

Answer:

x - 9y = 17

x - 17 = 9y

( x - 17)/9 = y

Answer:

240

Step-by-step explanation: