Find the surface area of the prism

Answer:

−19810916

Step-by-step explanation:

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The sequence given is a geometric sequence with a common ratio of -3. The sum of the first ten terms of the sequence is calculated using the formula for the sum of a geometric series to be -236196.

The sequence given, 4, -12, 36, -144, ..., is actually a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this sequence, the common ratio is -3.

To find the sum of the first n terms in a geometric sequence, we use the formula: S_n = a(1 - r^n) / (1 - r), where S_n is the sum of the first n terms, a is the first term in the sequence, r is the common ratio, and n is the number of terms.

If we insert our values into formula, we get: S_10 = 4*(1 - (-3)^10) / (1 - (-3)), which results in S_10 = -236196.

So, the sum of the first ten terms of the sequence is -236196.

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A regular hexagon have an interior angle of 120°, while a regular decagon have an interior angle of 144°.

The regular hexagon will tessellate because 3 hexagons can be tessellated at a point. (360° / 120° = 3)

The regular decagon will not tessellate because 360° is not divisible by 144°.

Answer:

the answer is 60 degrees

Answer:

Step-by-step explanation:

What you have to do is set it up like this

what you have to do is

(30*52) ÷ 100=x

1664 ÷ 100= 16.64

52-16.64= 35.36

35.36 is the new sale price

Check the picture below.

Answer: 2/3

Step-by-step explanation: 2/3 cup of sugar. you keep the 3 cups of flour the same, and put the 1 cup of sugar as a fraction like 3/3=1 cup. then just minus the 1 cup of flour from the top. 2/3 cups of sugar

Answer - 2/3

If the recipie Liam is using requires 3 cups of flour, and he only has 2, then he has 2/3 of the amount in the recipie. This means he would need to use the same proportions of sugar as flour - 2/3. Therefore he needs to use 2/3 x 1 of the amount in the recipie, which is two thirds (2/3) of a cup.

Original price = x

The original price of a pair of shoes was discounted 20%.

20% = 20/100 = 0.2

1 - 0.2 = 0.8

x * 0.8

Now they sell for $54.

x * 0.8 = 54

Solve to find x.

54 / 0.8 = x

x = 67.5

Convert that to currency.

Circumference is pi x diameter so we have to divide 600 by pi to get the actual diameter. 600÷3.14=191cm, so her estimate was a little too small

Answer:

Step-by-step explanation:

A. Little too large

Because

C= (Pi)*d

600=(pi)*200

So the answer is the A.

f(×)=9×3+2×2 -5×+4

g(×)=5×3-7+4

f(×)-g(×)

(9×3+2×2-5×+4)-(5×+4)-(5×3-7×+4)

9×3+2×2-5×+4-5×3+7-4

(9×3-5×3)+2×2+(7×-5×)+(4-4)

4×3+2×2+2×

=2×*(2×2+×+1)

Answer:

-4.5

Step-by-step explanation:

Using the given equation, replace r with 5 and h with 30 and PI with 3.14:

SA = 2(3.14)(5)^2 + 2(3.14)(5)(30)

SA = 6.28(25) + 6.28(150)

SA = 157 + 942

SA = 1099 square inches.

Answer:

The measure of angle x is [tex]15\°[/tex]

Step-by-step explanation:

we know that

In the figure

[tex]75\°+x\°=90\°[/tex] -----> by complementary angles

so

Solve for x

[tex]x=90\°-75\°=15\°[/tex]

Here is the factor (3x+5y)(3x-5y)

Answer:

(3x+5y)(3x−5y)

Step-by-step explanation:

The binomial can be factored using the difference of squares formula

a^2−b^2=(a+b)(a−b) where a=3x and b=5y

Answer:

If there are 25 lettuce plants, and five rows you split the 25 among the five rows giving you 5  lettuce plants per row.

Step-by-step explanation:

25 / 5 = 5

Answer:

r = 95

Step-by-step explanation:

log (r - 5) - 7 = -5 becomes log (r - 5) = 2.  You had that right.

Now raise the base 10 to the power 'log (r - 5)' and equate that to the base 10 to the power 2:

   log (r - 5)           2

10                  =  10

Then r - 5 = 100, and r = 100 - 5 = 95.   r = 95

Answer:

6

Step-by-step explanation:

I'm 99% sure you know the answer to this and didn't have to resort to this website.

3-5 = -2

Subtracting negative numbers means it becomes positive.

So the gist is that your adding 4 and 2 which is 6.

Answer:

See below

Step-by-step explanation:

Centre of dilation

Dilation gives you a new shape that is either larger or smaller than the original.

In either case, every ray that  passes through corresponding points of the two shapes will converge at the centre of dilation (Point O in the diagram).

Scale factor

To get the scale factor, you measure the ratio of lengths of corresponding sides in the  shapes.

For example, a line in the red figure below may be four times as long as the corresponding line in the other.

If the dilation converts the blue shape into the red one, the scale factor is 4:1.

If the dilation converts the red shape into the blue one, the scale factor is 1:4.

Final answer:

To find the center of dilation and scale factor in geometry, identify the fixed point and multiply the actual size by the scale factor. Using Calvin's map, with a scale factor of 1/800, the 80-meter distance between houses translates to 10 centimeters on the map.

Explanation:

To find the center of dilation in geometry, you need to identify a fixed point in the plane around which all other points are either expanded or contracted. The scale factor determines how much larger or smaller the image will be compared to the original figure. A scale factor greater than 1 indicates an enlargement, while a scale factor between 0 and 1 indicates a reduction.

Let's use Calvin's map problem as an example. Calvin has a scale factor of 1/800 for his map, and the actual distance between his house and his best friend Frank's house is 80 meters. To find the scale dimensions, we use the following steps:

Convert the actual distance to a compatible unit with the map's scale. Here, we convert meters to centimeters since the map is likely in centimeters (80 meters = 8000 centimeters).

Multiply the actual distance by the scale factor: 8000 cm * (1/800) = 10 cm.

The distance between the two houses on the scale drawing should be 10 centimeters.

Answer:

1,3,5

Step-by-step explanation:

Answer:

1,3,5

Step-by-step explanation:

Answer:

The slope of the line would be -2.

Step-by-step explanation:

Because the equation is a line, the slope is the same throughout the entire graph on the equation.

Lets let f(x)=y=-2x+4.

f(0) = -2(0) + 4 = 4

f(0)=4

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

f(1)=2

Use the equation to find slope.

m(slope) = [tex]\frac{2-4}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = -2

The slope would be -2.

Or:

Use the equation y = mx + b where m=slope.

In the equation y=-2x+4, m=-2.

The slope is -2.

Answer:

y = -2x + 4 slope is -2

Step-by-step explanation:

that's what I got

Answer: The average drop is $8.80 per day.

Step-by-step explanation: Over the course of 8 days the stock fell by $72, and then $4 and $12 on the following two days. In order to determine the average over 10 days you need to add up the total drop for the time period and then divide by 10.

The formula to use:

(72 + 4 + 12) / 10=

88 / 10=

8.8=

$8.80

Answer:

A unit rate is the answer which you get when you divide one of the numbers by the other. This is how much one would be. Here is a video:

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Just remove the spaces in between and you should be alright.

Final answer:

A unit rate is a comparison of two measurements with one unit having a value of 1, such as 55 miles per hour (55/1 miles/hour). Unit rates are useful in mathematics and science to understand how quantities relate on a per-unit basis, which is essential for dimensional analysis and unit conversions.

Explanation:

A unit rate is a type of rate that compares a quantity to one unit of another quantity, essentially telling us how much of one thing is present per one unit of another thing. A common example of a unit rate is speed, such as 55 miles per hour, which is written as 55 miles/1 hour. Here we are comparing the distance traveled to the time taken to travel that distance, indicating how many miles are covered in one hour.

Unit rates are related to proportions, which are equations that state that two ratios are equivalent. For example, 1/2=3/6 is a proportion. However, a unit rate always has a denominator of one, making it a special kind of ratio that is easily comparable across different scenarios.

Using unit scales is similar in concept to unit rates, but involves comparing two measurements where none necessarily equals one. For example, a unit scale on a map may be represented as 1 inch = 100 feet, showing the ratio of the size of the map to the actual size of the territory covered.

Understanding unit rates is also essential for dimensional analysis in science and unit conversions. Dimensional analysis is a process used in physics to ensure that the units in calculations cancel out or match up properly, indicating correct use of units in formulas and computations.

Answer: the answers are both the same

Step-by-step explanation:3x4=12

12+2/5=12 2/5

4x3=12

12+2/5=12 2/5

12 2/5=12 2/5

Let's do this step by step quickly!

#1. Multiply both sides by 10.

[tex]\fbox{-14x10=t}[/tex]

#2. Simplify -14 x 10 to -140.

[tex]\fbox{-140 = t}[/tex]

#3. Switch sides.

[tex]\fbox{t = -140}[/tex]

Done, [tex]\fbox{t = -140}[/tex].

Here is your answer

-140

REASON:

[tex]-14=\frac{t}{10}[/tex]

Multiply both sides by 10

[tex]-14×10= \frac{t}{10}[/tex]×10

-140=t

So, t= -140

HOPE IT IS USEFUL

Answer:

6d²+5cd-3dc+8

Step-by-step explanation:

So by combining like terms you need to have the same letters t the same powers in order to combine them

For the first one from 6d²+5cd-3dc+8 you can combine the 5cd and -3dc because they have like terms whereas all the other ones cant combine like 7d²-3c²+6d-c there aren't aren't terms that are to the same power and letter

Answer:

The commutative property

Step-by-step explanation:

7.6+3.9+2.4=

7.6+3.9= 11.5+ 2.4= 13.9.

If you added 2.4 and 3.9 first

3.9+2.4= 6.3+7.6=13.9.

It doesn't matter what order you add in, you'll get the same answer

Answer:

$15

Step-by-step explanation:

30% of $25

Find 10% = 2.5

2.5 x 2 = 5

5 x 3 = $15

Answer:

Between 1 and 6

I think the answer is D

Answer:

The answer is A

Step-by-step explanation:

First multiply 158 by 17 and you get 2,686 and since your falling it will be going down making it a negative

87.48

50% 81

4% 6.48

82+6.48=87.48

A right-angled triangle is a triangle having one of its angles with a measure of 90°. The correct option is B.

A right-angled triangle is a triangle having one of its angles with a measure of 90°. The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.

From the given options the information that is not enough to solve a right triangle is the measure of the hypotenuse.

Learn more about the Right-Angled Triangle:

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