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xxTIMURxx [149]
3 years ago
9

What is the value of a in the expression 7 to the power of d = of 3 square root of 7?

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0
The answer to w<span>hat is the value of a in the expression 7 to the power of d = of 3 square root of 7 is  a=19.</span>
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Mrs Thomas played a game. Her score changed the same amount each round. After 3 rounds, her score had changed by -18 points. How
lisabon 2012 [21]

Answer: -6

Step-by-step explanation: It changed -6 each round because -6x3=-18.\

Hope this helped!

5 0
3 years ago
Which expression is equal to the expression (7•2)^7 a. 9^7 b. 7^7•2^7 c. 7^7 2^7 d. 7•(7•2)
Keith_Richards [23]
(7\cdot2)^7=7^7\cdot2^7\to\fbox{b.}
5 0
3 years ago
Read 2 more answers
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
asambeis [7]

Let <em>a</em> and <em>b</em> be the zeroes of <em>x</em>² + <em>kx</em> + 12 such that |<em>a</em> - <em>b</em>| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

<em>x</em>² + <em>kx</em> + 12 = (<em>x</em> - <em>a</em>) (<em>x</em> - <em>b</em>)

Expand the right side and equate the coefficients:

<em>x</em>² + <em>kx</em> + 12 = <em>x</em>² - (<em>a</em> + <em>b</em>) <em>x</em> + <em>ab</em>

Then

<em>a</em> + <em>b</em> = -<em>k</em>

<em>ab</em> = 12

The condition that |<em>a</em> - <em>b</em>| = 1 has two cases, so without loss of generality assume <em>a</em> > <em>b</em>, so that |<em>a</em> - <em>b</em>| = <em>a</em> - <em>b</em>.

Then if <em>a</em> - <em>b</em> = 1, we get <em>b</em> = <em>a</em> - 1. Substitute this into the equations above and solve for <em>k</em> :

<em>a</em> + (<em>a</em> - 1) = -<em>k</em>   →   2<em>a</em> = 1 - <em>k</em>   →   <em>a</em> = (1 - <em>k</em>)/2

<em>a</em> (<em>a</em> - 1) = 12   →   (1 - <em>k</em>)/2 • ((1 - <em>k</em>)/2 - 1) = 12

→   (1 - <em>k</em>)²/4 - (1 - <em>k</em>)/2 = 12

→   (1 - <em>k</em>)² - 2 (1 - <em>k</em>) = 48

→   (1 - 2<em>k</em> + <em>k</em>²) - 2 (1 - <em>k</em>) = 48

→   <em>k</em>² - 1 = 48

→   <em>k</em>² = 49

→   <em>k</em> = ± √(49) = ±7

8 0
3 years ago
In a jar of ten beads, seven are red and three are blue. a bead is drawn from the jar five times with replacement. what is the p
MatroZZZ [7]
<span>In a jar of ten beads; since 3 are blue; probability of picking a blue ball, B, = p(b) = 3/10. And P (of not picking a blue ball) ; p(b') = 7/10. Since it occurs with replacement, probabilities doesn't change Probaility of picking k blue balls from on n attempts is given by P_n(k) P_n(k) = (n, k) p^(k) q^(n -k) where p and q are b and b' respectively. P_5(2) = (5 , 2) (0.3)^(2) (0.7)^(5 - 2) P_5(2) = 5C2 (0.3)^(2) (0.7)^(3) = 0.3087</span>
6 0
3 years ago
One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 l
Lina20 [59]
50 people 24 horses
8 0
3 years ago
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