Evaluate the arithmetic series described : 2+(-2)+(-6)+(-10)...,510

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

[tex]SA=\pi r^{2}+\pi r l[/tex]

where r is the radius and l is the slant height.

[tex]SA=\pi \times 5^{2}+\pi \times 5 \times 21[/tex]

[tex]SA=\pi \times 25+\pi \times 105[/tex]

[tex]SA=25 \pi+ 105 \pi[/tex]

[tex]SA=130 \pi[/tex]

The surface area of the cone is 130π square feet.

The total surface area of the cone is 130π square feet.

How to Calculate the Surface Area of a Cone

The surface area of a cone can be calculated using two main components: the base and the lateral (side) surface. If the radius of the base is r and the slant height is l, the formulas for these areas become essential.

Therefore, the total surface area A of the cone is:

A = πr² + πrl


Calculate the surface area using the given values:

A =

Answer:

1340%

Step-by-step explanation:

Answer:

b and also whats a

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

In India

Answer: D

Step-by-step explanation:

1 dollar a day

Given:

The number of elevations in Death Valley National Park is given below:

Zabriskie Point = 648 feet

Stovepipe Wells = 0 feet

Furnace Creek = -178 feet

Badwater Basin = -282 feet

To find the difference between the elevation at Zabriskie Point and Furnace Creek.

Formula

So,

The difference between the elevation at Zabriskie Point and Furnace Creek = (648-(-178)) feet

= 648+178 feet

= 826 feet

Hence,

The difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

The elevation difference between Zabriskie Point and Furnace Creek in Death Valley National Park is 826 feet, obtained by adding the positive elevations.

To find the difference between the elevation at Zabriskie Point and Furnace Creek in Death Valley National Park, follow these steps:

Use the formula for subtracting negative numbers:

Difference = Elevation at Zabriskie Point - (Elevation at Furnace Creek)

Given elevations:

Elevation at Zabriskie Point = 648 feet

Elevation at Furnace Creek = -178 feet

Substitute these values into the formula:

Difference = 648 - (-178) feet

Remember that subtracting a negative is the same as adding the positive:

Difference = 648 + 178 feet

Perform the addition:

Difference = 826 feet

Therefore, the difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

HOPE THIS WILL HELP U...

Answer:

15/32

Step-by-step explanation:

5/8/1 1/3

Which can also be written as 5/8÷ 1 1/3

So let's solve

5/8÷4/3

So remember that the division will change to multiplication and 4/3 will also change to 3/4

5/8×3/4

15/32

This is the lowest form it can be since the two are not divisible by the same number

So the final answer is 15/32

Answer:

Since there are 14 people who will eat 2 muffins each, you will need to make 28 muffins. To get this many muffins you will have to multiply the recipe by 2 1/3. Multiply each ingredient by 2 1/3 to make enough muffins

Step-by-step explanation:

Answer:

D = ]-∞ , -1/2[ U ]-1/2 , 3[ U ]3 , +∞[

Step-by-step explanation:

hello :

f(x) = x/(2x²-5x-3)

f exist for : 2x²-5x-3 ≠ 0

2x²-5x-3  = 0

∆ = b² -4ac      a=2  and b= -5  and  c= -3

∆ = (-5)² - 4(2)(-3) = 49 = 7²

X1 = (-b-√∆ )/2a  = (5-7)/4 = -1/2

X2 = (-b+√∆ )/2a  = (5+7)/4 = 3

the domain is : D = ]-∞ , -1/2[ U ]-1/2 , 3[ U ]3 , +∞[

-

For the given cube, the length of the diagonal is given by:

[tex]d = \sqrt{27} cm[/tex]

For a cube of side length S, the diagonal of the cube is given by the expression:

[tex]d = \sqrt{S^2 + S^2 + S^2} = \sqrt{3}*S[/tex]

In this case, the side length is equal to 3cm, replacing that we get:

[tex]d = \sqrt{3*S^2} = \sqrt{3*(3)^2} cm = \sqrt{27} cm[/tex]

The correct option is the second one, counting from the top.

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Answer:

B) The range of apples is 43 more than the range of oranges.

Step-by-step explanation:

The range of Apples:

172 - 98 = 74

The range of Oranges:

96 - 65 = 31

The range of Apples is more than of Oranges in 43 Apples.

The range of apples is 43 more than the range of oranges.

The mean represents the sum of all the numbers. In an ordered list, the middle number is the median. The most frequent number is the mode. The highest number less the smallest number is the range.

By deducting the lowest value from the greatest value, the range is computed.

Given:

From the given data

Range for Apples

= Highest - lowest

= 172 - 98

= 74

and, Range for Oranges

= Highest - lowest

= 96 - 65

= 31

Thus, the range of apples is 43 more than the range of oranges.

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It is the number 3.              

Answer:

The hypotenuse is 14 m to the nearest meter.

Step-by-step explanation:

By Pythagoras:

h^2 = 12^2 + 8^2

h^2 = 208

h = √208

h = 14.4 m.

Answer:

its 14! hope this helps

Step-by-step explanation:

Answer:

-0.8  or 991/10

(also it can be 10%)

Step-by-step explanation:

991            

 ——— = 99.10000  

 10              

Step by step solution :

Step  1  :

            9

Simplify   ——

           10

Equation at the end of step  1  :

         9

 100 -  ——

        10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

           100     100 • 10

    100 =  ———  =  ————————

            1         10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

100 • 10 - (9)     991

——————————————  =  ———

      10           10  

Final result :

 991            

 ——— = 99.10000  

 10              

The value of expression 1/10.

Given that we need to solve expression 100% - 9/10,

To explain the calculation of "100% - 9/10," let's break it down step by step:

First, let's simplify the fraction 9/10. This fraction represents a ratio where the numerator (9) is the number of parts, and the denominator (10) is the total number of parts.

In this case, it means that we have 9 parts out of a total of 10 parts.

Next, we need to calculate the percentage equivalent of 9/10. To do this, we can multiply the fraction by 100.

So, 9/10 × 100 = 90%.

This means that 9/10 is equivalent to 90%.

Finally, we subtract 90% from 100%. Since 100% represents the whole or the entirety, subtracting 90% from it gives us the remaining percentage.

Mathematically, 100% - 90% = 10%

10% = 1/10

Therefore, 100% - 9/10 equals 10%.

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Answer:

4.444...

Step-by-step explanation:

To do this question you find out 8/9 of 5

8/9 x 5

The method is: you divide by the denominator (bottom number of a fraction) and multiply by the numerator ( top number of a fraction)

= 5 ÷ 9 = 0.555…

= 0.555 x 8 = 4.444 recurring.

Answer:

[tex]4\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{45-8}{9}[/tex] = [tex]\frac{37}{9}=4\frac{1}{9}[/tex]

Two lines are:

So, we have:

The relationships between the lines and planes depend on their orientation in space. Without diagrams, it's only possible to give general descriptions, suggesting various intersecting, parallel, or skew scenarios.

Without diagrams or additional context, it's difficult to determine the relationships between the segments and planes, but I will provide general descriptions. Lines AB and BC appear to intersect if 'B' is the shared point between them. Lines AE and BF could be parallel, intersecting, or skew, depending on their orientation in space. Lines EF and AD again depend on their spatial orientation. Plane ABC and Plane ABF may intersect along line AB, if they are not the same plane. Plane AED and Plane BFC could also intersect, be parallel, or neither, depending on how the points are positioned in space.

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Given:

Set A represents rational numbers.

Set B represents integers.

Set C represents whole numbers.

To find:

Which of the value represents a value that could be placed in set C.

Solution:

Rational number is ratio of two numbers which of the form [tex]\frac{p}{q}, \ q\neq0[/tex].

Integer is a set of positive and negative numbers including zero.

Integers: {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}

Whole numbers are positive numbers with zero.

Whole numbers: {0, 1, 2, 3, 4, ...}

Option A: -10

-10 is a integer. So that, it is placed in set B not in set C.

Therefore, it is not true.

Option B: 2.5

2.5 can be written as [tex]\frac{5}{2}[/tex]. It is a rational number.

Rational number placed in set A.

Therefore, it is not true.

Option C: [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] is a rational number.

Rational number placed in set A.

Therefore, it is not true.

Option D: [tex]\frac{12}{4}[/tex]

[tex]$\frac{12}{4}=3[/tex] (cancelling common factors)

3 is a whole number.

Whole numbers placed in set C.

Therefore, it is true.

Hence [tex]\frac{12}{4}[/tex] is the value that could be placed in set C.

The area of triangle DEF cannot be determined without specific measurements for the base and height. To find the area of a triangle, use the formula \( \frac{1}{2} \times \text{base} \times \text{height} \), and be attentive to significant figures.

To determine the measure of the area of triangle DEF, we would need specific information about the dimensions of the triangle, such as the base and the height. Without this information or a corresponding figure provided in the question, we cannot calculate the area. However, I can guide you on how to calculate it once you have the necessary dimensions.

To calculate the area of a triangle, the formula is \( \frac{1}{2} \times \text{base} \times \text{height} \). For example, if you have a triangle with a base of 166 mm and a height of 930.0 mm, the area would be \( \frac{1}{2} \times 166 \text{mm} \times 930.0 \text{mm} \). Make sure to convert the measurements to the same units if they are not already, and pay attention to the proper number of significant figures in your final answer.

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if the picture was  bigger  i would be able to help could u get it a  bit bigger

Answer:

8 : 12 and 18 : 27

Step-by-step explanation:

5:10 and 10:15 simplify to: 1:2 and 2:3

8:12 and 18:27 simplify to: 2:3 and 2:3

9:15 and 24:30 simplify to: 3:5 and 4:5

6:20 and 7:30 simplify to: 3:10 and 7:30

The ONLY pair of equal proportions is the second one (8 : 12 and 18 : 27), making it the right answer

Answer:

Second one:

8 : 12 and 18 : 27

Step-by-step explanation:

5 : 10 and 10 : 15

5/10 , 10/15

1/2 , 2/3

Not constant, so not proportional

8 : 12 and 18 : 27

8/12 , 18/27

2/3 , 2/3

Constant, so proportional

9 : 15 and 24 : 30

9/15 , 24/30

3/5 , 4/5

Not constant, so not proportional

6 : 20 and 7 : 30

6/20 , 7/30

3/10 , 7/30

Not constant, so not proportional

Answer:

A

Step-by-step explanation:

11-2.9= 8.1

so the right answer is of option A

Answer:Not very great probability

Step-by-step explanation:

   There is not a great probability because there are 8 yellow, 9 green, and 5 red. The less purple marbles there are, the less of a chance that a purple marble will be pulled from the bag because there are only three of the purple marbles.

Answer:

0.971

Step-by-step explanation:

i did it

Answer:

a(n) = -2 + 8(n - 1)

Step-by-step explanation:

General formula is a(n) = a(1) + d(n - 1), where d is the common difference.

Here a(n) = -2 + 8(n - 1)

Answer:

a(n)=8n-10

Step-by-step explanation:

thats the answer if you are on Acellus :)

Answer:$576

Step-by-step explanation:

To find the simple interest on$6400 on 6yr at 1.5%

Simple interest=prt/100

I=6400×1.5×6/100

I=$576

To multiply the expression 6z^2 by the trinomial (7z^2+3z-2), distribute 6z^2 across each term in the trinomial to obtain 42z^4 + 18z^3 - 12z^2.

The student has asked to multiply the expression 6z2 by the trinomial (7z2+3z-2). To solve this problem, we'll apply the distributive property, which entails multiplying the term outside the parenthesis by each term inside the parenthesis.

Combine all the products to get the final expanded expression: 42z4 + 18z3 - 12z2.

The product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

To multiply [tex]\(6z^2\)[/tex] by the trinomial [tex]\(7z^2 + 3z - 2\)[/tex], you need to distribute [tex]\(6z^2\)[/tex] to each term inside the parentheses. Here's how you can do it stepwise:

1. Multiply [tex]\(6z^2\)[/tex] by the first term of the trinomial [tex](\(7z^2\))[/tex]:

[tex]\[ 6z^2 \cdot 7z^2 = 42z^4 \][/tex]

2. Multiply [tex]\(6z^2\)[/tex] by the second term of the trinomial [tex](\(3z\)):[/tex]

[tex]\[ 6z^2 \cdot 3z = 18z^3 \][/tex]

3. Multiply [tex]\(6z^2\)[/tex] by the third term of the trinomial [tex](\(-2\))[/tex]:

[tex]\[ 6z^2 \cdot (-2) = -12z^2 \][/tex]

Now, combine these results:

[tex]\[ 6z^2(7z^2 + 3z - 2) = 42z^4 + 18z^3 - 12z^2 \][/tex]

So, the product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

Answer:

Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each

(Lower boundary is included, upper boundary is not)

Average

no. of --------> frequency

movies

_______ __________

0 - 1 --------------> 1

1 - 2 --------------> 5

2 - 3 --------------> 5

3 - 4 --------------> 2

4 - 5 --------------> 1

For frequencies, just count the data values in each interval

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

Answer:

B, 3:1

Step-by-step explanation:

18:6 is 3:1 if you divide both sides by 6

Final answer:

The correct ratio to compare the number of turkey sandwiches to vegetarian sandwiches is 3:1, with 18 students selecting turkey and 6 students selecting vegetarian sandwiches.

Explanation:

The correct ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches is 3:1.

Answer:

Step-by-step explanation:

234 m = 4 hrs

Divide the total amount of miles to hours

234/4 = 58.5

58.5 m = 1 hr

I hope this helped you!

Answer:

12

Step-by-step explanation: