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2 years ago

Find the 97th term of the arithmetic sequence -16, 2, 20,

Mathematics

1 answer:

Romashka [77]2 years ago

3 0

Use the formula a^n = a^1 + d (n - 1) to identify the sequence.

a^n= 18n - 34

hope this helped , good luck !!

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Find the measure of each acute angle. Thank you!

Wewaii [24]

Answer:

55 for the top left and 35 for the top right

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

7x+6 + 6x -7 + 90 = 180

Combine like terms

13x+89 = 90

Subtract 89 from each side

13x+89-89 = 180-89

13x = 91

Divide by 13

13x/13 = 91/13

x =7

The top left angle is

7x+6

7*7+6 = 49+6 = 55

The top right angle is

6x-7

6*7-7 = 42-7 = 35

3 0

2 years ago

2 3/8 - 4 1/2 + 3 1/8 - (1/2)

UkoKoshka [18]

let's convert the mixed fractions to improper fractions firstly.

$\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} \\\\\\ \stackrel{mixed}{3\frac{1}{8}}\implies \cfrac{3\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{25}{8}} \\\\[-0.35em] ~\dotfill$

$\bf \cfrac{19}{8}-\cfrac{9}{2}+\cfrac{25}{8}-\cfrac{1}{2}\implies \stackrel{\textit{using an LCD of 8}}{\cfrac{(1)19-(4)9+(1)25-(4)1}{8}}\implies \cfrac{19-36+25-4}{8} \\\\\\ \cfrac{4}{8}\implies \cfrac{1}{2}$

8 0

2 years ago

Math pls help dhsjdjdjdj

Aleks [24]

Answer:

2350 is 88.68% of 2650.

Step-by-step explanation:

2350/2650

hopefully, i'm right :)

6 0

2 years ago

You’re taking an exam in math, and you spend 5 minutes for every 2 questions you answer on the test.(Plz answer! I’m failing and

Natali5045456 [20]

Given:

Time spend on every 2 questions = 5 minutes.

To find:

The missing values for the given table.

Solution:

Let x be the number of questions and y be the number of minutes.

We have,

Time spend on every 2 questions = 5 minutes

Time spend on 1 question = $\dfrac{5}{2}=2.5$ minutes

Time spend on x questions = $2.5x$ minutes

Now,

$y=2.5x$

For x=0,

$y=2.5(0)=0$

For x=1,

$y=2.5(1)=2.5$

For x=2,

$y=2.5(2)=5$

For x=3,

$y=2.5(3)=7.5$

For x=4,

$y=2.5(4)=10$

Therefore, the required table is

Questions : 0 1 2 3 4

Time (minutes) : 0 2.5 5 7.5 10

7 0

2 years ago

(4x+7)^2=60 how to do extracting the square root?

4vir4ik [10]

(4x + 7)² = 60
(4x + 7)(4x + 7) = 60
(4x² + 28x + 28x + 49) = 60
4x² + 56x + 49 = 60
 -49 -49
 4x² + 56x = 11
4x² + 56x - 11 = 11 - 11
4x² + 56x - 11 = 0
x = -56 +/- √(56² - 4(4)(-11))
 2(4)
x = -56 +/- √(3136 + 88)
 8
x = -56 +/- √(3174)
 8
x = -56 +/- 56.34
 8
x = -7 +/- 7.0425
x = -7 + 7.70425 x = -7 - 7.70425
x = 0.70425 x = -14.70425

8 0

2 years ago