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uranmaximum [27]
3 years ago
5

5

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

4:3

Step-by-step explanation:

The computation of the ratio of females to males is shown below

Since it is mentioned that there is 28 students in the class out of which 12 are boys

So, the females are

= 28 - 12

= 16

SO, the ratio of females to males is

16:12

4:3

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Convert 11.75 millimeters to meters
blsea [12.9K]

Hello!

1,000 millimeters make a meter. To convert millimeters to meters, we just divide by 1,000, or move the decimal to the right 3 places.

11.75/1000=0.01175

Therefore, our answer is 0.01175 meters.

I hope this helps!


3 0
3 years ago
Read 2 more answers
Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8
Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

f(x) = 5x

f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

f(g(3a)) = -30a + 5

5 0
3 years ago
The product of negative 7 and a number squared is negative 28
sertanlavr [38]

Answer:

2

Step-by-step explanation:

2^2=4

-7*4=-28

5 0
2 years ago
Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.
Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all n\in\mathbb{N},3|(4^n+5). This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let n=1, then we have 4^{1}+5=9, and evidently, 9|3.

Assume that 4^n+5 is divisible by 3 for n=k, k\in\mathbb{N}. Then, by this assumption, 3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}.

Now, let n=k+1. Then:

4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)

Since 3|(4^k+m), we may conclude, by the axiom of induction, that the property holds for all n\in\mathbb{N}.

3 0
2 years ago
a grocery store buys boxes of cereal for $ 2.00 each and sells them for 50% more. what does the grocery store charge its custome
Natalija [7]

Answer:

$3.00

Step-by-step explanation:

First find the markup

2.00 * 50%

2 * .5

1

Add this to the original price

2+1 =3

The store sells the cereal for $3.00

4 0
3 years ago
Read 2 more answers
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