Find the sum of the first 9 terms in the following geometric series.
64 + 32 + 16 + ...

We have been given that the painting is 3 times as long as it is tall.The expression [tex]2(x+3x)[/tex] represents the perimeter of the painting, where x represents the length of the short side of the painting in feet.

To find the the amount of framing needed when short side of the painting measures 2.6 feet, we will substitute [tex]x=2.6[/tex] in our given expression.

We can simplify our expression as:

[tex]2(x+3x)=2(4x)[/tex]

[tex]2(4x)=2(4\times 2.6)[/tex]

[tex]2(4x)=2(10.4)[/tex]

[tex]2(4x)=20.8[/tex]

Therefore, a total of 20.8 feet of framing is needed.

By using the given expression 2(x+3x) and substituting the short side measurement of 2.6 feet, we find that the total framing needed is 20.8 feet for the large rectangle painting.

To calculate the total framing needed for the painting, we start by using the expression 2(x+3x), which represents the perimeter of the painting. Given that the short side (x) of the painting measures 2.6 feet, we substitute x with 2.6 feet in the expression, resulting in 2(2.6 feet + 3(2.6 feet)), which simplifies to 2(2.6 feet + 7.8 feet). This gives us 2(10.4 feet), equaling 20.8 feet of framing that is needed.

The dimensions of the painting are based on the fact that the painting is three times as long as it is tall.

The short side is the height of the painting, and the long side, therefore, is 3 times the short side. Since the painting is a rectangle, we apply the formula for the perimeter of a rectangle, which is P = 2(length + width), to get the overall framing length.

Answer:

[tex]1/8[/tex]

Step-by-step explanation:

Step 1:  Divide both top and bottom by 9

[tex](9/9) / (72/9)[/tex]

[tex](1) / (8)[/tex]

[tex]1/8[/tex]

Answer:  [tex]1/8[/tex]

Answer: the answer is 1/8

Step-by-step explanation:

Ok use a Calculator to help you.

Answer:

C. 6 gallons < 25 quarts.

E. 80 pints = 40 quarts.

Step-by-step explanation:

A. There are 8 fluid oz in 1 cup.

Multiply 8 with 6:

6 cups x 8 = 48 fl oz.

44 fl oz < 48 fl oz ∴ A. is false.

B. There are ~6.67 pints in 1 gallon.

Multiply 6 gallon with 6.67:

6 gallon x 6.67 = ~40.02 pint.

47 pint > 40.02 pint ∴ B. is false.

C. There is 4 quarts in 1 gallon.

Multiply 6 gallons with 4:

6 gallon x 4 = 24 quarts.

24 quarts < 25 quarts ∴ C. is true.

D. There is 4 cups in 1 quarts.

Multiply 7 with 4 and add 4:

7 quarts x 4 = 28 + 4 = 32

32 cups < 34 cups ∴ D. is false.

E. 1 quart = 2 pint

You are given 80 pints:

80/2 = 40 quarts ∴ E. is true.

~

Answer:

.2

Step-by-step explanation:

Whenever we see "of," we know we have to multiply.

.05% = .0005 in decimal form, so

.0005 * 400 = .2

Answer:

.2

Step-by-step explanation:

hope this helps

stay safe :)))

brainliest is appreciated

there is someone who keeps reporting my answers, copying them, and accusing me of doing it and their name is nasa619 so im sorry if that happens :((

Answer:

1741.67 yards

Step-by-step explanation:

recall that 1 yard is 3 feet

or

1 foot = 1/3 yards

hence,

5225 feet = 5225 x (1/3) = 1741.67 yards

Answer: 1741.67 yards.

Step-by-step explanation:

Since 3 feet ia a yard, divided 5225 by 3. You get 1741.67. Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

1/4, 1/2, 3/4, 1

Answer: 1/4,1/2.3/4,1

Step-by-step explanation:

1/4=0.25

1/2=0.50

3/4=0.75

1=1

Answer:

Option D, 44

Step-by-step explanation:

Step 1:  Find the size of the missing angle

All triangles add up to 180 degrees.

[tex]106 + 30 + x = 180[/tex]

Step 2:  Combine like terms

[tex](106 + 30) + x = 180[/tex]

[tex]136 + x = 180[/tex]

Step 3:  Subtract 136 from both sides

[tex]136 + x - 136 = 180 - 136[/tex]

[tex]x = 44[/tex]

Answer:  Option D, 44

Answer:

44

Step-by-step explanation:

106 + 30 = 136

180 - 136 = 44

Answer:

x = 5 (pleaaaaaase give branliest)

Step-by-step explanation:

An equilateral triangle is a triangle that has all congruent sides

This means that 30 = 4x + 10

30 - 10 = 4x

20 = 4x

20/4 = x

x = 5

Hope this helps

Answer:

x=5

Step-by-step explanation:

All sides are equal length because it is an equilateral triangle.

30 = 4x+10

Subtract 10 from each side

30-10= 4x+10-10

20 =4x

Divide each side by 4

20/4 = 4x/4

5 =x

Answer:

75 minutes

Step-by-step explanation:

1 /4 = 15 minutes

15 x 5 = 75

hope i helped

Answer:

-15.2°C

Step-by-step explanation:

-4.4 - 10.8 = -15.2

Hope this helps <3

The temperature at the top of the mountain is -15.2°C.

The solution to the problem:

Given:

The temperature at the base of the mountain is -4.4°C.

The temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain.

Objective:

Determine the temperature at the top of the mountain.

Solution:

Let x be the temperature at the top of the mountain. We know that the temperature at the top of the mountain is 10.8°C less than the temperature at the base of the mountain, so we can write the following equation:

x = -4.4 - 10.8

Simplifying the right side of the equation, we get:

x = -15.2°C

In triangle EFG, the right angle is at F. Using the Pythagorean theorem, we can find the length of the hypotenuse and use it to calculate the trigonometric ratios.

In triangle EFG, the right angle is at F. Given that EG = 8 and FG = 2, we can use the Pythagorean theorem to find the length of EF. Using the formula a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse, we can calculate that EF = sqrt((EG^2) + (FG^2)) = sqrt((8^2) + (2^2)) = sqrt(64 + 4) = sqrt(68).

To find tan E, we can use the ratio of the opposite side (FG) to the adjacent side (EG). tan E = FG/EG = 2/8 = 1/4.

To find sin G, we can use the ratio of the opposite side (FG) to the hypotenuse (EF). sin G = FG/EF = 2/sqrt(68).

To find sec G, we can use the ratio of the hypotenuse (EF) to the adjacent side (EG). sec G = EF/EG = sqrt(68)/8.

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Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Step 1:  Divide

[tex]\frac{8}{9} / \frac{2}{3}[/tex]

[tex]\frac{8}{9} * \frac{3}{2}[/tex]

[tex]\frac{8 * 3}{9 * 2}[/tex]

[tex]\frac{24/6}{18/6}[/tex]

[tex]\frac{4}{3}[/tex]

Answer:  [tex]\frac{4}{3}[/tex]

The expression [tex]6.1 \times 10^2[/tex] in standard form is 610

How to write the expression in standard form

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

[tex]6.1 \times 10^2[/tex]

To write [tex]6.1 x 10^2[/tex] in standard form, we need to convert it into a regular number.

using the above as a guide, we have the following:

[tex]6.1 * 10^2 = 6.1 * 100[/tex]

Evaluate

[tex]6.1 * 10^2 = 610[/tex]

Hence, the expression in standard form is 610

45/5 Simplified

What is 45/5 Simplified? - 9/1 is the simplified fraction for 45/5. Simplify 45/5 to the simplest form. Online simplify fractions calculator to reduce 45/5 to the lowest terms quickly and easily.

Simplify 45/5

Fraction:  

 45

------

 5

45/5 Simplified

Answer:  

45/5 = 9/1 = 9  

Simplify 45/5

Simplify 45/5 reduces the fraction 45/5 to the lowest form. You can change the numerator or denominator to simplify any other fraction.

Quadrant one: positive x and positive y. (5,6)

Quadrant two: negative x and positive y. (-5,6)

Quadrant three: negative x and negative y. (-5,-6)

Quadrant four: positive x and negative y. (5,-6)

the y-axis goes up and down so im guessing the x coordinates will be 0 and the y will be whatever you want it to be. the same goes for the x-axis excepted switched around.

Apologies if I got any of these wrong, and please comment if you are confused so I can explain more.

1.) First quadrant: x > 0, y > 0.

2.) Second quadrant: x < 0, y > 0.

3.) Third quadrant: x < 0, y < 0.

4.) Fourth quadrant: x > 0, y < 0.

5.) On y-axis: x = 0, y ≠ 0.

6.) On x-axis: x ≠ 0, y = 0.

1.) Points in the First Quadrant: In the first quadrant, both x and y coordinates are positive. Therefore, the coordinates of points A and B might be of the form (x, y) where x > 0 and y > 0. For instance, point A might be (3, 4) and point B might be (5, 7).

2.) Points in the Second Quadrant: In the second quadrant, x coordinates are negative and y coordinates are positive. Thus, the coordinates of points D and E might be of the form (-x, y) where x > 0 and y > 0. For example, point D might be (-2, 3) and point E might be (-6, 8).

3.) Points in the Third Quadrant: In the third quadrant, both x and y coordinates are negative. Therefore, the coordinates of points G and H might be of the form (-x, -y) where x > 0 and y > 0. For instance, point G might be (-4, -5) and point H might be (-7, -9).

4.) Points in the Fourth Quadrant: In the fourth quadrant, x coordinates are positive and y coordinates are negative. Thus, the coordinates of points J and K might be of the form (x, -y) where x > 0 and y > 0. For example, point J might be (3, -2) and point K might be (8, -5).

5.) Points on the Y-Axis: Points on the y-axis have x coordinates equal to 0, and their y coordinates can be positive or negative. Thus, the coordinates of points M and N might be of the form (0, y). For instance, point M might be (0, 4) and point N might be (0, -7).

6.) Points on the X-Axis: Points on the x-axis have y coordinates equal to 0, and their x coordinates can be positive or negative. Thus, the coordinates of points Q and R might be of the form (x, 0). For example, point Q might be (5, 0) and point R might be (-3, 0).

Answer:

15

Step-by-step explanation:

mean = 20 + 30 + 39 + 44 + 52 /5

mean = 185 ÷ 5

mean = 37

52 - 37 = 15

The mean of the data set is 37. The number 52 deviates from the mean by 15. Key concepts include mean, deviation, and data set.

The first step in answering the question 'How much does 52 deviate from the mean?' is to calculate the mean (also called the average) of the data set. We do this by adding together each of the numbers in the data set and then dividing by the number of elements. The calculation looks like this: (20 + 30 + 39 + 44 + 52) / 5 = 37. Then, to determine how much 52 deviates from the mean, subtract the mean from 52. This gives us: 52 - 37 = 15. So, 52 deviates from the mean by 15. Mean, deviation, and data set are key mathematical concepts related to this question and answer.

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Answer:

radius: 12 inches or OPTION A

Step-by-step explanation:

C = 2r × 3.14

75 = 2r × 3.14

23.885 = 2r

r = 11.94

The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     [tex]A=2\pi r h + 2\pi r^{2}[/tex]......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   [tex]r=\frac{d}{2}[/tex]

                      = [tex]\frac{1.5}{2}[/tex]

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × [tex]\pi[/tex] × 0.75 × 5 ) + ( 2 × [tex]\pi[/tex] × [tex]0.75^{2}[/tex] )

                      = ( 7.5 [tex]\pi[/tex] ) + ( 1.125 [tex]\pi[/tex] )

                  A = 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex]

Result:

        The surface area of cylinder is 8.625[tex]\pi[/tex] [tex]cm^{2}[/tex], if the cylinder has 5 centimeters high and 1.5 cm of diameter.

The surface area of a cylinder is 8.625π cm². Thus, the correct answer is B.

First, calculate the radius of the cylinder, which is half of the diameter:

r = 1.5 cm / 2

   = 0.75 cm

Next, find the area of the two circular bases of the cylinder using the formula for the area of a circle, A = πr²:

Area of one base = π(0.75 cm)²

                              = 0.5625π cm²

Total area of the two bases = 2 × 0.5625π cm²

                                              = 1.125π cm²

Then, calculate the lateral surface area using the formula for the circumference of a circle (C = 2πr) multiplied by the height (h):

Lateral surface area = 2π(0.75 cm)(5 cm)

                                  = 7.5π cm²

Finally, add the areas of the two bases and the lateral surface area to find the total surface area:

Total surface area = 1.125π cm² + 7.5π cm²

                              = 8.625π cm²

The correct answer is B. 8.625π cm².

Answer:

2 pounds. Two pounds is 32 oz. so if 22 oz. is less than 32 (which it obviously is), 2 pounds is more.

Answer:

2 pounds

Step-by-step explanation:

Answer:

A: 1,1 B: 2,3 C;3,1

Step-by-step explanation:

Divide each number by 1/2 or times by .5

Answers and Step-by-step explanations:

We need to use FOIL (first, outer, inner, last) to solve this.

The first terms of each of the two expressions (2x - 1) and (2x + 6) are 2x and 2x. Multiply these together: 2x * 2x = 4x².

The outer terms are 2x and 6, respectively, and their product is 2x * 6 = 12x.

The inner terms are -1 and 2x, respectively, and their product is -1 * 2x = -2x.

The last terms are -1 and 6, respectively, and their product is -1 * 6 = -6.

Add these together:

4x² + 12x + (-2x) + (-6) = 4x² + 10x - 6

Let's see if this is equal to (1x - 2) * (6 + 2x) by expanding this one using FOIL as well:

The first terms are 1x and 6, respectively, and their product is 1x * 6 = 6x.

The outer terms are 1x and 2x, respectively, and their product is 1x * 2x = 2x².

The inner terms are -2 and 6, respectively, and their product is -2 * 6 = -12.

The last terms are -2 and 2x, respectively, and their product is -2 * 2x = -4x.

Add all these up:

6x + 2x² + (-12) + (-4x) = 2x² + 2x - 12

Clearly, 2x² + 2x - 12 is NOT the same as 4x² + 10x - 6, so (2x - 1)(2x + 6) is not equal to (x - 2)(6 + 2x).

Hope this helps!

Answer:

4x² + 10x - 6

Not equal

Step-by-step explanation:

(2x - 1)(2x + 6)

4x² - 2x + 12x - 6

4x² + 10x - 6

(1x - 2)(6 + 2x)

6x - 12 + 2x² - 4x

2x² + 2x - 12

Not equal

Answer:

D

Step-by-step explanation:

The highest point is the vertex, (-3,5), making all y-values less than or equal to 5.

Answer:

If there are 16 pounds in one ounce, and you have 96 ounces then you must divide 96 by 16.  That would mean there are 6 pounds in 96 ounces.

Step-by-step explanation:

So to answer the blocks you must divide the number of ounces by the unit rate. There are 16 ounces per pound.

Answer:

Tanisha wrote an equation that is the same as Mrs. McAlister's equation.

9t = 8

Step-by-step explanation:

Mrs. McAlister wrote an equation on the board is:

10t-4t+3t=8

Now we simplify this

In order to simplify the left side, we combine like terms.

Here 10t, -4t, & 3t are like terms

So, 10t - 4t + 3t is equivalent to 9t

Thus,

9t = 8

This equation is written by the Tanisha.

That's the final answer.

I hope it helps you.

Answer:

Tanisha

Step-by-step explanation:

10t - 4t + 3t = 8    (given)

= 10t - 4t + 3t  = 8

= 9t = 8

This is what Tanisha wrote (9t = 8)

Hope this helps, and please mark me brainliest if it does!