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kotegsom [21]
2 years ago
9

What is the slope of the line that passes through the points (8, 8) and (20, - 2) ? Write your answer in simplest form.

Mathematics
1 answer:
dedylja [7]2 years ago
8 0

Answer:

-5/6

Step-by-step explanation:

you can use the equation y2-y1/x2-x1 to find the slope of the line

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The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Masja [62]

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

6 0
2 years ago
Question 1
Elina [12.6K]

The salesperson would earn $800 as gross base paycheck

How many hours of did the salesperson achieve?

The salesperson only worked 40 hours of normal time and there is no overtime, which means that the hourly rate remains $10.00 base salary

In other words, in determining the biweekly pay of the salesperson, we would consider the number of hours in a week, the number of weeks payment is made for and the hourly rate

biweekly gross paycheck=number of weeks*hours per week* hourly rate

number of weeks=2

hours per week=40

hourly rate=$10.00

biweekly gross paycheck=2*40*$10.00

biweekly gross paycheck=$800.00

The biweekly gross paycheck of the sales person is $800,option is the most appropriate

Find out more about 40-hour week on:brainly.com/question/7695086

#SPJ4

3 0
1 year ago
Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1
Alenkasestr [34]

Answer:

x=\frac{4*(2+e)}{e-2}

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

log(\frac{1}{x} )=-log(x)

log(x*y)=log(x)+log(y)

Therefore:

log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1

Now, cancel logarithms by taking exp of both sides:

e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e

Multiply both sides by (x-4)^{2} and using distributive propierty:

2x^{2} -32=16e-8ex+ex^{2}

Substract 16e-8ex+ex^{2} from both sides and factoring:

-(x-4)*(-8-4e-2x+ex)=0

Multiply both sides by -1:

(x-4)*(-8-4e-2x+ex)=0

Split into two equations:

x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0

Solving for x-4=0

Add 4 to both sides:

x=4

Solving for -8-4e-2x+ex=0

Collect in terms of x and add 4e+8 to both sides:

x(e-2)=4e+8

Divide both sides by e-2:

x=\frac{4*(2+e)}{e-2}

The solutions are:

x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}

If we evaluate x=4 in the original equation:

log(0)-log(0)=1

This is an absurd because log (x) is undefined for x\leq 0

If we evaluate x=\frac{4*(2+e)}{e-2} in the original equation:

log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1

Which is correct, therefore the solution is:

x=\frac{4*(2+e)}{e-2}

6 0
3 years ago
Someone pls help me out
Ludmilka [50]
The cookies because if they have 100°C, after 30 seconds it loses half it‘s heat and now it only has 50°C.
After the next 30 seconds it loses again half the heat so it‘s 25°C.

You can theoretically continue this forever. It‘s exponential decay.
7 0
2 years ago
NEED HELP NOW 100 POINTS WILL MARK BRAINLIEST ANSWER 5 PHOTOS BELOW PLZ ANSWER ALL NEED HELP QUICK!!!!!!!!!!
Ket [755]
1) c
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6 0
3 years ago
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