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GenaCL600 [577]
3 years ago
9

Exponents and rules of exponents simplify the expressions below 2 4 3 0 4 6 4 -3 2 3 2

Mathematics
1 answer:
damaskus [11]3 years ago
4 0

Answer:

Step-by-step explanation:

Need help please

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There are 3 types of sweets in a jar.
KengaRu [80]

Answer:

\frac{2}{3}

Step-by-step explanation:

Given:

Number of eclairs = 3

Number of humbugs = 2x + 6=2(x+3)

Number of mints = x

Therefore, total number of sweets in the jar is,

S=3+2x+6+x=3x+9=3(x+3)

Now, probability of selecting a sweet to be humbug is given as:

P(humbug)=\frac{\textrm{number of humbugs}}{\textrm{number of sweets}}\\P(humbug)=\frac{2(x+3)}{3(x+3)}=\frac{2}{3}

Therefore, the probability that it is a humbug is \frac{2}{3}.

7 0
3 years ago
10. What percent of 32 is 15? If necessary, round to the nearest tenth of a percent.
ankoles [38]

Answer:

46.9

Step-by-step explanation:

i looked it up

8 0
3 years ago
Read 2 more answers
Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y
Firdavs [7]

Answer:

x = 24/√3

4√3 = y

Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30)  = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

x = (12/1) / (√3/2)

x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12  = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

4 0
3 years ago
The area of a square is defined by, A(x) = x 2 - 6x + 9. What is the length of a side of the square?
Dmitriy789 [7]
A9x)  = x^2 - 6x + 9  = (x - 3)^2

length of a side = x - 3 
8 0
3 years ago
Given f() = 3x – 29<br> Find f (4)
julia-pushkina [17]
Sub in 4 as x
3(4) - 29
= -17
5 0
3 years ago
Read 2 more answers
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