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otez555 [7]
3 years ago
14

2/21 × -3/13 +-7/9 - 2/21 × 10/13​

Mathematics
2 answers:
grin007 [14]3 years ago
7 0

Answer:

\frac{-55}{63} is the answer for the question.

Step-by-step explanation:

All you have to do is just simplify the expression And you'll get your answer as \frac{-55}{63}

Hope this helped you !

Viefleur [7K]3 years ago
5 0

Answer:

\frac{-55}{63}

Step-by-step explanation:

=\frac{2}{21}(\frac{-3}{13})-\frac{7}{9}-\frac{2}{21}(\frac{10}{13})

=\frac{-2}{91}-\frac{7}{9}-\frac{2}{21}(\frac{10}{13})

=\frac{-2}{91} +\frac{7}{9} -\frac{2}{21} (\frac{10}{13})

=\frac{-655}{819}-\frac{2}{21} (\frac{10}{13} )

=\frac{-655}{819}-\frac{20}{273}

=\frac{-55}{63}

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As a plane takes off it ascends at a 20 degree angle of elevation. If the plane has been traveling at an average rate of 290 ft/
poizon [28]

Given :

As a plane takes off it ascends at a 20 degree angle of elevation.

If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.

To Find :

How high is the plane after 10 seconds.

Solution :

Distance travelled by plane, D = 2900 ft.

Angle of elevation, Ф = 20°.

Height gained is given by :

H = Dsin\ \phi

H = 2900 × sin 20°

H = 991.86 ft.

Therefore, height of plane after 10 seconds is 991.86 ft.

Hence, this is the required solution.

8 0
3 years ago
Please help!!!!!!!!!
zhuklara [117]

Answer:

option d -1 is the answer

7 0
2 years ago
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Given the function () = $
elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4


Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2


Read more about sequence at:

brainly.com/question/7882626

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6 0
2 years ago
Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?
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It is 1/3....................
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2 years ago
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4. (4)5 =<br> a. 12<br> b. 13<br> c. 14<br> d. 15
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▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

  • (4 {}^{3} ) {}^{5}

  • (4{}^{3 \times 5} )

  • 4 {}^{15}

therefore, the Correct choice is d) 15

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2 years ago
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