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RSB [31]
2 years ago
11

Given a1 = 8 and r = 2, identify the 23rd term

Mathematics
1 answer:
babymother [125]2 years ago
4 0

Answer: 33554432

Step-by-step explanation:

8 x (2 ^ (23 - 1)) = 33554432

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If m <ABC=88,<ABD=2x and <CBD=X-2 THEN SOLVE for x
malfutka [58]

Given m<ABC=88°.

<ABD=2x and <CBD=x-2.

Soltution. m<ABC is the sum of angles m<ABD and m<CBD.

So, we can setup an equation as

m<ABD + m<CBD = m<ABC.

Plugging values of m<ABD, m<CBD and m<ABC in above equation, we get

2x + x-2 = 88

Combining like terms 2x+x=3x, we get

3x-2=88.

Adding 2 on both sides,

3x-2+2=88+2.

3x=90.

Dividing both sides by 3, we get

3x/3=90/3

x=30.

Plugging value of x=30 in given values of m<ABD and m<CBD

<ABD=2x = 2(30) = 60° and

<CBD=x-2 = x-2 = 30-2 =28°.

Therefore, <ABD =60° and <CBD=28°.

8 0
3 years ago
Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10)
Blababa [14]

\implies {\blue {\boxed {\boxed {\purple {\sf {  18 {x}^{2}  - 69x - 55}}}}}}

\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}

= (9x + 5) - ( - 2 x+ 10)(9x + 5) - ( - 2x + 10)

= (9x + 5)  + 2x (9x + 5) - 10(9x + 5) - ( - 2x + 10)

= 9x + 5 + 18 {x}^{2} + 10  x- 90x - 50 + 2x - 10

Collect the like terms.

= 18 {x}^{2}   + (9x   + 10x- 90x + 2x) + (5  - 50 - 10)

= 18 {x}^{2}   + (21x - 90x) +(5 - 60)

= 18 {x}^{2}  - 69x - 55

<h3>\boxed{    Note:}</h3>

\sf\pink{PEMDAS\: rule.}

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}

3 0
3 years ago
Please help quickly! Will give points to 1st right answer!
Kobotan [32]

The domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

<h3>What are domain and range?</h3>

The domain means all the possible values of the x and the range means all the possible values of the y.

The table is shown below.

Let the logarithm function with the variables x and y. Then we have

y = logₐ x

At x = 25, the value of y will be 2. Then the value of a will be

2 = logₐ 25

2 = 2 logₐ 5

1 = logₐ 5

Then 1 can be written as

1 = log₅ 5

Then on comparing, the value of a will be

a = 5

Then the logarithm function will be

y = log₅ x

Then the domain of the logarithm function is (0, ∞) and the range of the logarithm function will be (-∞, ∞)

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

4 0
3 years ago
50 pounds to 35 pounds percentage of change
iVinArrow [24]

Answer:

30%

Step-by-step explanation:

<h2><u>Percentage change </u></h2><h3>formula :</h3>

\frac{change}{origional} * 100

= 50 - 35 = 15

= \frac{15}{50}*100\\

<h3>= 30 %</h3>
4 0
4 years ago
At a local restaurant, a couple ordered two dinners for $12.50 each and two drinks for $1.50 each. If the couple left an 18% tip
aivan3 [116]
First, you have to add up the cost of each meal and drink:
12.50 + 12.50 + 1.50 + 1.50 = 28


$28 is the cost before the tip. Now multiple 28 by .18 to find the tip:
28 x .18 = 5.04

The tip was $5.04. Add the 28 and the 5.04 to get the total cost:
28 + 5.04 = 33.04

ANSWER:
The total cost was $33.04
6 0
3 years ago
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