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2 years ago

14

I need help with underlined problems.

1 answer:

vaieri [72.5K]2 years ago

4 0

#7 is 0.04 and it is a terminating decimal

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Please help me , thank you

natka813 [3]

Answer:

80 degrees

Step-by-step explanation:

one half of the circle makes a straight line and that will equal 180 degrees so 60+45=105

180-105=80

so the missing angle is x=80

4 0

2 years ago

Read 2 more answers

A sales person earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns 4,800

AURORKA [14]

Assign variables to you unknowns.

c = $ cars
t = $ trucks

6c + 3t = 4800
8c + t = 4600

use substitution or elimination to solve the system of equations.

using elimination.. multiply second equation by -3 and add to the other to combine equations into one.

6c + 3t = 4800
-3(8c + t = 4600)
---------------------------
-18c + 0 = -9000
c = 9000/18
c = 500 $

use this in one of the equations to find the cost of a truck.

8(500) + t = 4600
4000 + t = 4600
t = 4600 - 4000
t = 600 $

question asks
2(500) + 3(600) =
1000 + 1800 = 2800 $

3 0

2 years ago

Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.

frutty [35]

<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

$2^n\leq 2^{n+1}-2^{n-1}-1$

where n is a positive integer.

Let us take n=1

then we have:

$2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2$

Hence, the result is true for n=1.

Let us assume that the result is true for n=k

i.e.

$2^k\leq 2^{k+1}-2^{k-1}-1$

Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u> $2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Let us take n=k+1

Hence, we have:

$2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)$

( Since, the result was true for n=k )

Hence, we have:

$2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2$

Also, we know that:

$-2$

(

Since, for n=k+1 being a positive integer we have:

$2^{(k+1)+1}-2^{(k+1)-1}>0$ )

Hence, we have finally,

$2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

$2^n\leq 2^{n+1}-2^{n-1}-1$ where n is a positive integer.

6 0

2 years ago

PLEASE HELP, I WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWER))

madam [21]

Answer:

The volume of this cylinder is 9184.5 cubic feet.

Step-by-step explanation:

The area of a circle is $\pi r^2$ and the volume of a cylinder with that base is just that area times the height:

$V=\pi r^2\times h$

Here, we're given the diameter, but we need the radius. The radius of a circle is just half of the diameter:

$r=30\times0.5=15$

Next, you can use that radius to calculate the area of the base:

$A=3.14\times15^2\\A=3.14\times225\\A=706.5$

Finally, multiply that by the height to find the volume of the cylinder:

$V=706.5\times13\\V=9184.5$

The volume of this cylinder is 9184.5 cubic feet.

7 0

2 years ago

What is the slope of the line given by the equation y-9=15(x-5) ?

Alexxx [7]

The final equation after distributing is:

y = 15x - 66

The slope is 15

7 0

2 years ago