Suppose a varies directly as b, and a=7 when b=2 find b when a =21

Answers

Answer 1

Answer: because α varies directley to β
$\alpha = k \beta$
(k = constant)

α=7 when β=2
7= 2k
k= $(7)/(2)$

so when α=21
21= $(7)/(2)$ b
b= 6

Answer 2

Answer:

Final answer:

To solve for 'b' when 'a' = 21 in a direct variation relationship where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6.

Explanation:

In this scenario, we are given that a varies directly as b, which means we can state this relationship as a = kb, where k is a constant of proportionality. Initially, we're given that a = 7 when b = 2. From this, we can find that k = a / b, so k = 7 / 2 = 3.5. Therefore, our direct variation equation is a = 3.5b.

When a = 21, we can substitute this into the direct variation equation and solve for b. Thus, 21 = 3.5b, and by dividing both sides by 3.5, we can find that b = 6.

Learn more about Direct Variation here:

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If y varies directly with x and x=4 when, y=20, find k, the constant of variation.

Answers

Direct variation means [ y = k x ]

Given . . . 20 = k 4

k = 20/4 = 5 .

Please help me with this, i just need this question and i'll be able to graduate

Answers

easey, just multiply everybody and add the exponents for like terms remember
(a^m)(a^n)=a^(m+n)
also
(ab)c=a(bc)
so

-4x³y²(7xy⁴)=
-4*x³*y²*7*x*y⁴=
-4*7*x³*x*y⁴*y²=
-28*x⁴*y⁶
-28x⁴y⁶

Find sin(7pie/4) using exact values

Answers

$sin( ( 7\pi )/(4) )=-sin(2 \pi - ( 7\pi )/(4) )=-sin ( \pi )/(4) =- (1)/( √(2) )$

Find the circumference of the ornament shown in the above figure. Round your answer to the nearest whole number. A. 61
B. 41
C. 50
D. 25

Answers

Answer:

D. 25

Explanation:

To find the circumference of a circle you multiply the diameter by 3.14. The diameter of one of the half circles that make up the edges is 2.

2 x 3.14 = 6.28

Now we need to multiply 6.28 by 4 because there are four half circles that make up the edges.

6.28 x 4 = 25.12

The question asked us to round to the nearest whole number. Since the decimal is below 50 we round down, we get the answer 25!!!

Hope this was helpful!

If (x-9) is a factor of 2x^2 - 19x + k, what is the value of k?

Answers

Answer:

Step-by-step explanation:

18 hope this help if it I’m sorry

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