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3 years ago

Find the value of c. 64 32 5c+2 C

Mathematics

1 answer:

Dmitry [639]3 years ago

5 0

Answer:

c = 6

Step-by-step explanation:

(I'm going to call the unidentified inner angle Henry, 'kay?)

First, we need to find Henry.

64 + Henry = 180

(64 - 64) + Henry = (180 - 64)

Henry = 116

Now to c.

Henry + 32 + 5c + 2 = 180

(116 + 32 + 2) + 5c = 180

(150 - 150) + 5c = (180 - 150)

5c/5 = 30/5

c = 6

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What is the difference between (Picture 1) and (picture 2)? A. 0 B. 2 C. 5 D. 6

Vesnalui [34]

Answer:

The difference between the picture is 0 , option A .

Step-by-step explanation:

Given two figures as :

In figure A

The expression is 1 + 3 n , where n lies from 0 to 4

So , let f (n) = 1 + 3 n

Or,f ( n ) = 1 + 3 ×0 = 1 + 0 = 1

f ( 1 ) = 1 + 3 ×1 = 1+ 3 = 4

f ( 2 ) = 1 + 3 ×2 = 1+ 6 = 7

f ( 3 ) = 1 + 3 ×3 = 1+ 9 = 10

f ( 4 ) = 1 + 3 ×4 = 1+ 12 = 13

so, summation of ( 1 + 3 n ) from n = 0 to 4 = 1 + 4 + 7 + 10 + 13 = 35

In figure B

The expression is 3 i - 5 , where i lies from 2 to 6

So , let g (i) = 3 i - 5

Or,g ( 2 ) = 3 ×2 - 5 = 6 - 5 = 1

g ( 3 ) = 3 ×3 - 5 = 9 - 5 = 4

g ( 4 ) = 3 ×4 - 5 = 12 - 5 = 7

f ( 5 ) = 3 ×5 - 5 = 15 - 5 = 10

f ( 6 ) = 3 ×6 - 5 = 18 - 5 = 13

so, summation of ( 3 i - 5 ) from i = 2 to 6 = 1 + 4 + 7 + 10 + 13 = 35

So, The difference between the summation of functions f(n) - g(i) is

f(n) - g(i) = 35 - 35

I.e f(n) - g(i) = 0

Hence The difference between the picture is 0 , option A . Answer

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3 years ago

If f(x) =2x+3 then the point (1,5) is on the graph of f true or false

ss7ja [257]

F(x)=y=2x+3
P (1,5)
Substitute x and y:
5=2*(1)+3
5=5 true
Point P (1,5) is on the graph of f.

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3 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

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3 years ago

What 2 numbers divide to get 375 while multiplying to equal 38.4?

Rus_ich [418]

Answer:

Well, 375 is a composite number.

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The exponents in the prime factorization are 1 and 3.

Factors of 375: 1, 3, 5, 15, 25, 75, 125, 375.

Factor pairs: 375 = 1 x 375, 3 x 125, 5 x 75, or 15 x 25. Good Luck!

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3 years ago

Find f(-2) for f(x) = 2(4)^x O A.1/16 O B.1/8 O C. -16 OD. - 32

scoray [572]

Answer:

B. 1/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

$\displaystyle f(x) = 2(4)^x\\f(-2) \ is \ x = -2$

Step 2: Evaluate

Substitute in x: $\displaystyle f(-2) = 2(4)^{-2}$
Exponents: $\displaystyle f(-2) = 2(\frac{1}{16})$
Multiply: $\displaystyle f(-2) = \frac{1}{8}$

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2 years ago

Find the value of c. 64 32 5c+2 C​

Find the value of c. 64 32 5c+2 C