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Harman [31]
2 years ago
10

TEN POINTS:

Mathematics
1 answer:
neonofarm [45]2 years ago
3 0

Answer:

81/16 = 5 1/16

Step-by-step explanation:

-4(square root of x) -3 = -12

Add 3 to both sides

-4(square root of x) = -12 +3 = -9

Divide both sides by -4

(square root of x) = -9/-4

-/- equals +

(square root of x) = 9/4

Square both sides to cancel the square root

x = (9/4)^2 = 81/16 = 5 1/16

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What is the sum of the first 11 terms of the arithmetic series in which a1 = 12 and d = 5?. (Points : 1). 38. . 549. . 143. . 2
Marina CMI [18]
First we will find the 11th term
an = a1 + (n-1) * d
a11 = 12 + (11 - 1) * 5
a11 = 12 + 10 * 5
a11 = 12 + 50
a11 = 62

now we use the sum formula...
Sn = (n (a1 + an)) / 2
S11 = (11 (12 + 62)) / 2
S11 = (11 (74)) / 2
S11 = 814/2
S11 = 407
3 0
2 years ago
Read 2 more answers
Part c
ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $V=\pi(\frac{d}{2} )^{2} h \\

$&V=\pi(\frac{9}{2} )^{2} * 4

$V=81 \pi

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$P=\frac{27}{81 \pi}

$P=\frac{1}{3 \pi}

Expand $\pi$

$&P=\frac{7}{3 * 22} \\

$&P=\frac{7}{66}

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

#SPJ4

4 0
1 year ago
Select the correct answer.
Butoxors [25]

Answer:

Hello there the Correct answer The only answer choice that produces -2x²+2 is D.

Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2

answer: D

Hope It Helps!

5 0
3 years ago
What is the simplified form of the following expression? 8ab/-4b
kondaur [170]

-2a

Step-by-step explanation:

steps:1. first write the question again : 8ab/-4b

2.first 8 divide by -4=-2

3.write ' a' with -2because u don't have another 'a' down belowso that u can pair it up and cancel

so: -2a.

4. cancel 'b' on top and 'b' at the bottom.

3 0
2 years ago
Write the algebraic expression for : half as much as a number, increased by 5
VladimirAG [237]

Answer:

(n/2)+5

Step-by-step explanation:

With n representing the unknown number, to get half of that number, divide the number by 2. n/2. Then, increase that quotient by 5.

(n/2)+5

3 0
3 years ago
Read 2 more answers
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