Find the sum of the sequence: 108, 105, 102,...,15

Answer:

4 1/2

Step-by-step explanation:

Multiply 2x2=4 and then put the half next to it

Answer:

27 pi

Step-by-step explanation:

First find the area of a circle

A = pi r^2

A = pi ^^2

36 pi

We know this is 3/4 of a circle so multiply the area by 3/4

3/4 * 36 pi

27 pi

Answer:

1464.84375

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_{7}[/tex] = 6 × [tex](2.5)^{6}[/tex] = 6 × 244.140625 = 1464.84375

The seventh term of the geometric progression will be 1464.84375

When there is a constant between the two successive numbers in the series then it is called a geometric series.

The nth term of a geometric sequence is

[tex]a_n =a_1(r)^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Here a₁ = 6 and r = 15 ÷ 6 = 2.5, thus

[tex]a_7=6\times (2.5)^{6}[/tex]  = 6 × 244.140625 = 1464.84375

Therefore the seventh term of the geometric progression will be 1464.84375

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We will find that there are 5 outcomes where the sum of the numbers on the dice adds up to 6.

We want to see how many outcomes are there where the sum of the two dice is equal to 6. Each dice has 6 outcomes, which are:

{1, 2, 3, 4, 5, 6}

For rolling two dice with 6 outcomes each, the total number of outcomes is:

6*6 = 36

For rolling two dice, we can use the notation:

dice 1,  dice 2

And we can also write the sum, so we will only look at the outcomes where the sum is 6.

dice 1,  dice 2,  Sum

1            5          1 + 5 = 6

5           1           5 + 1 = 6

2           4           2 + 4 = 6

4           2            4 + 2 = 6

3           3            3 + 3 = 6

So there are 5 outcomes where the sum is equal to 6, so the correct option is B

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Answer:

C

Step-by-step explanation:

the other guy explains it better, but i took the quiz, so I can confirm

Answer:

x=5

Step-by-step explanation:

2x+10=20

   -10   -10

2x=10

then divide both sides by 2

x=5

Answer:

x = 5

Step-by-step explanation:

Given

2x + 10 = 20

Subtract 10 to both sides

(2x + 10) -10 = 20 - 10

2x = 10

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{10}{2}[/tex]

x=5

Check your work. Substituted 5 for x

2x + 10 = 20

2(5) + 10 =20

10 + 10 = 20

20 = 20

Answer:

A

Step-by-step explanation:

Answer:

7.D

8.A

Step-by-step explanation:

7.

r=√((0-6)²+(0+8)²)=√(36+64)=√100=10

eq. of circle is (x-6)²+(y+8)²=10²

(x-6)²+(y+8)²=100

8.

CM=1/2CD=1/2×60=30

OM=18

OC=√(30²+18²)=√(900+324)=√(1224)=√(4×306)=√(4×9×34)=2×3√34=6√34

radius r=OC=6√34

OF=r=6√34

ON=15

FN=√((6√34)²-15²)=√(1224-225)=√999=√(9×111)=3√111

Answer:

2 seconds

Step-by-step explanation:

When the ball hits the ground, its height (h) will be 0. You can therefore set up the following equation:

[tex]0=-16t^2+20t+30 \\\\-4(4t^2-5t-6)=0[/tex]

Factor:

[tex]-4(4t+3)(t-2)=0 \\\\t=-\dfrac{3}{4}, 2[/tex]

Since the time must be positive, it hits the ground after 2 seconds. Hope this helps!

Answer: 50, 75, 40, 125

Step-by-step explanation:

a) x = 5*20/2 = 50

b) x = 5*30/2 = 75

c) x = 2*100/5 = 40

d) x = 5*50/2 = 125

Answer:

The first part is [tex]4+12x=28[/tex]

The second part is multiply both sides by 4

The third part is (not sure cause i got subtract 16 from both sides) but i think it is subtract 3 to both sides

The fourth part is [tex]x=8[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\left(16+12x\right)=28\\\mathrm{Multiply\:both\:sides\:by\:}4\\4\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:44\cdot \frac{1}{4}\left(16+12x\right)=28\cdot \:4\\Simplify\\16+12x=112\\\mathrm{Subtract\:}16\mathrm{\:from\:both\:sides}\\16+12x-16=112-16\\\mathrm{Simplify}\\12x=96\\\mathrm{Divide\:both\:sides\:by\:}12\\\frac{12x}{12}=\frac{96}{12}\\Simplify\\x=8[/tex]

Answer:

because he left you and your mom and now you are sad because you have no dad also yer dads j e r k

Step-by-step explanation:

Answer:

he is walking 5000000000000000000000000000% slower than a sloth

Step-by-step explanation:

sloths are slow

Answer:

y= -x/2+8

Step-by-step explanation:

Cause I know UwU

Answer:

a=90 B=80 C=180

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

This is because you won the first race and you won the second.

*diagram of the dot plot is attached below

Answer:

$2.15

Step-by-step Explanation:

Mean daily pocket money or average daily pocket if the group if students shown in the for plot that is attached below = the sum of the pocket money received by the students ÷ the total number of students.

From the diagram of the dot box attached below, the total number if students = 13 (each dot represents a student)

Sum of the pocket money received by the students = 4(1) + 5(2) + 3(2) + 4(2)

= 4 + 10 + 6 + 8

Sum = 28

Therefore, mean daily pocket money = 28 ÷ 13 = $2.15

Answer:

it is 6x²+ 9x- 15

Step-by-step explanation:

Answer:

20 square yards

Step-by-step explanation:

Area of workshop

= length * width

= 5 * 4

= 20 square yards

Answer:

b = -1

Step-by-step explanation:

First plug in 4 for each x:

[tex]x^2+bx-12=0\\(4)^2+b(4)-12=0[/tex]

Then simplify by multiplying out what you can with 4:

[tex](4)^2+b(4)-12=0\\16+4b-12=0[/tex]

After simplify further by combining like terms:

[tex]16+4b-12=0\\4b +4=0[/tex]

Then isolate b on one side by subtracting 4 from each side:

[tex]4b+4=0\\(-4)+4b+4=0+(-4)\\4b=-4[/tex]

Finally isolate b further by dividing each side by 4 to get b alone and find the answer:

[tex]4b=-4\\\frac{4b}{4}=\frac{-4}{4} \\ b=-1[/tex]

Answer:

-0.64285714285

Step-by-step explanation:

To 1 d.p. -0.6

Answer:

[tex]-\frac{9}{14}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} *(-\frac{6}{7})=\\\\-\frac{3*6}{4*7} =\\\\-\frac{18}{28}=\\\\-\frac{9}{14}[/tex]

Cloudy = 0.30

Rain = 0.15

Both = 0.14

Probability of Rain if cloudy:

P(Both)/P(Cloudy) = 0.14/0.30 = 14/30 = 0.4666

Multiply by 100:

0.4666 x 100 = 46.67%

Answer is b. About 46.67%

If x = 0, then the value of the function f(0) will be negative 15. And if the value of the function f(x) is 27. Then the value of x will be 3.

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

The table is given below.

If x = 0, then the value of the function f(0) will be

f(0) = -15

And if the value of the function f(x) is 27. Then the value of x will be

x = 3

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Answer:

if x = 0, then f(0) = -15 and if f(x) = 27, then x = 3

Step-by-step explanation:

i look at the table for 0 and 27 and then look at the numbers next to it

Answer:

Step-by-step explanation:

If the parent function is f(x) = x² and the transformed function is g(x) = a(x)²

For a > 1, then the transformed function g(x) will be vertically stretched by a factor of 'a'

For 0 < a < 1, then the transformed function will be vertically compressed or shrink by a factor of 'a'

For a function f(x) = x² when transformed to f(5x) = (5x)²

g(x) = 25x²

Therefore, graph of the parent function f(x) will be vertically stretched by 25 units.

Answer:

(2n+9)/( n+5)

Step-by-step explanation:

f(x)=(2x+3)/(x+2)

Let x = n+3

f(n+3)=(2*(n+3)+3)/(n+3+2)

        = (2n+6+3)/(n+5)

        = (2n+9)/( n+5)

Answer:

Richard is older

Step-by-step explanation:

We can set up an inequality for both statements.

Let r equal Richard's age and s equal Sylvia's age.

"I am older than my wife."

Since Richard is speaking, the inequality would look like this:

r > s

This means Richard is older than Sylvia.

"I am younger than my husband."

Since Sylvia is speaking, the inequality would look like this:

s < r

This means that Sylvia is younger than Richard.

We can flip one inequality to "see" them from the same perspective.

Let's use s < r

To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.

s < r

to

r > s

The inequality from the first quote is identical to this one!

Therefore, Richard is older than Sylvia.

Answer:

[tex] \boxed{n = 6} [/tex]

Step-by-step explanation:

[tex] = > 2 = \frac{n}{3} \\ \\ = > \frac{n}{3} = 2 \\ \\ = > n = 2 \times 3 \\ \\ = > n = 6[/tex]

Answer:

c. 81

Step-by-step explanation:

(x^3)^1/6= √81

x^(3*1/6)= √81

x^(1/2)= √81

√x=√81

x=81

Answer:

-17

Step-by-step explanation:

-21-c

Let c = -4

-21 - -4

Subtracting a negative is like adding

-21 +4

-17

Answer:

-17

Step-by-step explanation:

- 21 - c

Put c as -4.

- 21 - (-4)

The negative signs cancel.

- 21 + 4

Add both the terms.

= -17