Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480

Answer:

Step-by-step explanation:

(1).

(a). 1 m ≈ 3.28 ft.

128 m ≈ 419.84 ft.

(b). 1 yd. ≈ 0.0009144 km

3910 yd. ≈ 3.58 km

(2). 1 m ≈ 0.0006214 mi.

10 000 m ≈ 6.2 mi.

Answer:

Step-by-step explanation:

you do part a

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

b

Divide equation 2 by 3

x-y=3

add y to both sides

x=3+y

Sbustitute this into equation 1

4(3+y)=2

12+4y+y=2

5y= -10

y= -2

Plug this into equation 1

4x-2=2

x=1

Part c.

Equation 1: 4x+y=2

Equation 2: 3x-3y=9

divide equation 2 by 3

x-y=3

add the two equations

(x-y)+(4x+y)=2+3

5x=5

x=1

Plug this into equation 1

4(1)+y=2

4+y=2

y= -2

For part a just create a table and graph it

Step-by-step explanation:

the answer is in the above image

Answer:

$150.5

Step-by-step explanation:

CP of an item = $140

sales tax rate = 7.5%

sales tax amount = sales tax rate of CP

=7.5% of CP

= 7.5/100 * $140

=$1050/100

=$10.5

total cost with tax = CP + tax rate

=$140 + $10.5

=$150.5

Answer:

BC= 5 units

Step-by-step explanation:

Answer:

C.20

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between the two bounds, divided by 2.

In this question:

Lower bound: 70

Upper bounf: 110

Margin of error:

[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]

Thus the correct answer is given by option C.

1 km = 1000 meters

2 km = 2 x 1000 = 2,000 meters

Area = length x width

Area = 2,000 x 8.3 = 16,600 square meters

Cost:

Multiply total area by cost per square meter:

16,600 x 30 = £498,000

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

The following relation is a function since there are no same x-values in a set.

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Answer: Its B

Explanation: took the quiz

[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex] 

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

[tex]= {24}^{ \frac{1}{3} } [/tex]

[tex] = \sqrt[3]{24} [/tex]

[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]

[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]

[tex] = 2\sqrt[3]{3} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

Answer:

[tex]a = 18x[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

Required

The value of (a)

We have:

[tex]\frac{1}{2}(a + d) = 10x[/tex] --- multiply by 2

[tex]\frac{1}{2}(b + c) = 8x[/tex] --- multiply by 2

[tex]\frac{1}{3}(b + c+d) = 6x[/tex] --- multiply by 3

So, we have:

[tex]\frac{1}{2}(a + d) = 10x[/tex]

[tex]a + d = 20x[/tex]

[tex]\frac{1}{2}(b + c) = 8x[/tex]

[tex]b + c = 16x[/tex]

[tex]\frac{1}{3}(b + c+d) = 6x[/tex]

[tex]b + c + d= 18x[/tex]

Substitute [tex]b + c = 16x[/tex] in [tex]b + c + d= 18x[/tex]

[tex]16x + d = 18x[/tex]

Solve for d

[tex]d = 18x - 16x[/tex]

[tex]d = 2x[/tex]

Substitute [tex]d = 2x[/tex] in [tex]a + d = 20x[/tex]

[tex]a + 2x = 20x[/tex]

Solve for (a)

[tex]a = 20x - 2x[/tex]

[tex]a = 18x[/tex]

Answer:

330

Step-by-step explanation:

-$737737373hhhehehwywuuuwu

Answer:

6

Step-by-step explanation:

sqrt(36)

sqrt(6^2)

6

Answer:

6

Step-by-step explanation:

18 * 2 = 64

√64 = 6

Answer:  180(n-2)

You use the distribution rule to factor

The distribution rule is a(b+c) = a*b+a*c

Answer:

3/2

Explanation:

To divide by a fraction multiply by the reciprocal of that fraction

9/10×5/3

reduce the numbers with greatest common factor 3

3/10×5

reduce the numbers with the greatest common factor of 5

3/2 is your answer

The fraction 9/10 divided by 3/5, in simplest form, is 3/2.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 3/5 is 5/3.

So, we have:

(9/10) ÷ (3/5) = (9/10) x (5/3)

Next, we multiply the numerators and denominators:

= (9 x 5) / (10 x 3)

= 45/30

To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:

= (45/15) / (30/15)

= 3/2

Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

Answer:

Step-by-step explanation:

Remember that the mean is average

Ex. Set A

Add then divide by the 8

Step-by-step explanation:

the answer is in the above image

I think B. 3,6,12,24 is the answer

Answer:

C

Step-by-step explanation:

the pattern is add 3

11 + 3 = 14

14 + 3 = 17

17 + 3 = 20

Answer:

Yes they are congruent and it is explained below

Step-by-step explanation:

There are 5 postulates when testing for congruency and they are;

SSS, SAS, ASA, AAS and HL.

S represents side

A represents angle

H represents hypotenuse

L represents leg

Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.

Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.

Thus, they are congruent.

Answer:

1. The new weight of elephant is 5.342 tones.

3. The number of red flowers are 280.

Step-by-step explanation:

1. weight of elephant = 6 tons

weight lost = 1450 pounds

As , 1 pound = 0.000454 ton

So, 1450 pounds = 0.658 ton

The new weight of elephant is

= 6 - 0.658 = 5.342 tones

3.

red flower to the yellow flower is 5 : 7

Number of yellow flowers = 392

Let the red flowers are R.

So,

[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]

Answer:

It is mainly used while doing scientific notation. If two numbers differ by one order of magnitude, one is about ten times larger than the other. If they differ by two orders of magnitude, they differ by a factor of about 100.A quarter is 0.25 dollars so the ratio between 1 dollar and a quarter is 1/0.25(it means the dollar and the quarter which is 0.25 dollars) and that equals =4

Answer:

6w83ywytahausjsshshfwgwyee

Answer:

[tex]cot\theta=-\frac{5}{12}[/tex]

Step-by-step explanation:

We are given that the point (5,-12) lies on the terminal side of an angle theta in standard position.

We have to find the exact value of [tex]cot\theta[/tex].

Let

Point (x,y)=(5,-12)

[tex]r=\sqrt{x^2+y^2}[/tex]

Substitute the values

[tex]r=\sqrt{5^2+(-12)^2}[/tex]

[tex]r=\sqrt{169}=13[/tex]

We know that

[tex]cot\theta=\frac{x}{y}[/tex]

Using values

[tex]cot\theta=-\frac{5}{12}[/tex]

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

Answer:

x=74

Step-by-step explanation:

The angle H = x

We know angle M also is x because the sides are the same length

The sum of the angles of a triangle add to 180

x+x+32 = 180

Combine like terms

2x+32 =180

Subtract 32 from each side

2x = 180-32

2x =148

Divide by 2

2x/2 =148/2

x=74

Answer:

Step-by-step explanation:

y^2 - 4y + y - 4

y^2 - 3y - 4

Answer:

6

Step-by-step explanation:

f(2) = (2 + 1)2

(3)2

6

Answer:

6

Step-by-step explanation:

f(2) = (2+1)*2, f(2) = 3*2 = 6