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3 years ago

I NEED HELP ASAP HELP

Mathematics

2 answers:

Kisachek [45]3 years ago

6 0

Id say maybe you would have 10 $1 bills and 1 dime and 7 pennies

miss Akunina [59]3 years ago

4 0

Quarters:12
Dollars:14

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What is the solution to the compound inequality 5x + 7 > −8 and 3x + 7 ≤ 19?

Cerrena [4.2K]

Solve each

5x+7>-8
minus 7 both sides
5x>-15
divide by 5
x>-3

3x+7≤19
minus 7 both sides
3x≤12
divide by 3
x≤4

so we got
x>-3 AND x≤4
and means that the solution set must satisfy both at once
so x is bigger than -3 and less than or equal to 4
so between -3 and 4 including 4
-3<x≤4

last one

3 0

3 years ago

A coin is flipped eight times where each flip comes up either heads or tails. How many possible outcomes a) are there in total?

attashe74 [19]

Answer:

There are 256 ways in total.

There are 56 possible outcomes contain exactly three heads.

The possible outcomes contain at least three heads is 219.

The possible outcomes contain the same number of heads and tails are 70.

Step-by-step explanation:

Consider the provided information.

A coin is flipped eight times where each flip comes up either heads or tails.

Part (a) How many possible outcomes are there in total?

Each time we flip a coin it comes up either heads or tail.

Therefore the total number of ways are:

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8=256$

Hence, there are 256 ways in total.

Part (b) contain exactly three heads?

We want exactly 3 heads, therefore,

n=8 and r=3

According to the definition of combination: $\binom{n}{r}=\frac{n!}{r!(n-r)!}$

$\binom{8}{3}=\frac{8!}{3!(5)!}=56$

Hence, there are 56 possible outcomes contain exactly three heads.

Part (c) contain at least three heads?

For 3 heads: $\binom{8}{3}=\frac{8!}{3!(5)!}=56$

For 4 heads: $\binom{8}{4}=\frac{8!}{4!(4)!}=70$

For 5 heads: $\binom{8}{5}=\frac{8!}{5!(3)!}=56$

For 6 heads: $\binom{8}{6}=\frac{8!}{6!(2)!}=28$

For 7 heads: $\binom{8}{7}=\frac{8!}{7!(1)!}=8$

For 8 heads: $\binom{8}{8}=1$

Now add them as shown:

56+70+56+28+8+1=219

Hence, the possible outcomes contain at least three heads is 219.

Part (d) contain the same number of heads and tails?

Same number of heads and tails means that the value of r=4.

Therefore,

$\binom{8}{4}=\frac{8!}{4!(4)!}=70$

Hence, the possible outcomes contain the same number of heads and tails are 70.

6 0

3 years ago

Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t7 + 1, y = t8

Jet001 [13]

I must assume that you meant t=1 (not t=?1). If t=1, here's what we'd do:

1. Find the x and y values corresponding to t=1. They are:
x=(1)^7+1=2 and y=(1)^8+1=2. (Please note: write t^8 instead of t8, and write t^7 instead of t7.)
2. The slope of the tangent line to the graph is
dy/dt 8t^7+1
dy/dx = ---------- = ---------------- with 1 substituted for t
dx/dt 7t^6

Thus, dy/dx (at t=1) = 9/7

3. Now we have both a point (2,2) on the graph and the slope of the tangent line to the curve at that point: 9/7

4. The tangent line to the curve at (2,2) is found by using the point-slope formula:

y-y1 = m(x-x1)

which comes out to y-2 = 9/7(x-2), or 7y-14 = 9(x-2). You could, if you wished, simplify this result further (e. g., by solving for y in terms of x).

8 0

3 years ago

I need help on this question, thx and i will give brainliest to the first answer that's correct.

tensa zangetsu [6.8K]

Answer:

its might be c, but i think it d

Step-by-step explanation:

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3 years ago

Richard needed to read 5 books for his summer reading assignment. It took him 458 hours to read the first 2 books. It took him 7

katen-ka-za [31]

Answer:

1236 books

Step-by-step explanation:

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3 years ago

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