1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
netineya [11]
3 years ago
10

4. Divide z(5z2 - 80) by 5z (z+4)​

Mathematics
1 answer:
insens350 [35]3 years ago
5 0

Answer:

z-4

Step-by-step explanation:

z(5z²-80) ÷ 5z(z+4) = z-4

Step-by-step explanation:

Given: z(5z²-80) ÷ 5z(z+4)

Calculation:

First we factor numerator z(5z²-80)

Take out 5 from 5z²-80 and we get 5z(z²-16)

Now we factor 16 = 4²

5z(z²-4²)

Using formula, (a²- b²)=(a+b)(a-b)

5z(z²- 4²)⇒5z(z+4)(z-4)

Simplified fraction

5z(z+4)(z-4) ÷ 5z(z+4)

Cancel like factor from numerator and denominator

⇒ z-4

Thus, z(5z²-80) ÷ 5z(z+4) = z-4

You might be interested in
4-4x=12+16x will gib brainleist i promise ;)
Delicious77 [7]

Answer:

4-4x=12+16x

−4x+4=16x+12

−4+4−4=16+12−4

-4x=16x+8

-4x-16x=16x+8-16x

-20x=8

-20x/-20 = 8/-20

x= -2/5

5 0
2 years ago
Find the 25th term of the arithmetic sequence.
dybincka [34]
The answer is -80, i have done all the math and -80 is the answer
8 0
3 years ago
Read 2 more answers
Monica took a survey of her classmates' hair and eye color. The results are in the table below.
jolli1 [7]

Answer:

let R represent red hair

let G represent green eyes

<em>from</em><em> </em><em>Baye's</em><em> </em><em>theorem</em><em>:</em>

<em>P( \frac{R}{G} ) =  \frac{P(RnG)}{P(G)}</em>

P(RnG) = 5

P(G) = { \sum}(green \: hair) \\  = (3 + 5 + 5) \\  = 13

Therefore:

P( \frac{R}{G} ) =  \frac{5}{13}  \\  = 0.385

The conditional relative frequency = 0.385

4 0
3 years ago
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
Verizon [17]

Answer:

The equation for a is a=-\frac{2000}{7}*(t-g)

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

  • t is the atmospheric  temperature in degrees Fahrenheit
  • a is the altitude, in feet, at which the atmospheric temperature is  measured
  • g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

a=\frac{t-g}{-0.0035}

a=-\frac{2000}{7}*(t-g)

<u><em>The equation for a is </em></u>a=-\frac{2000}{7}*(t-g)<u><em></em></u>

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

a=-\frac{2000}{7}*(-305-50)

a=-\frac{2000}{7}*(-355)

a= 101,428.57

<u><em>The altitute is 101,428.57 feet</em></u>

4 0
3 years ago
Given: PSTK is a trapezoid, m∠P=90° SK =13, PK = 12, ST=8 Find: The area of PSTK.
guajiro [1.7K]
<h3>Given</h3>

trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8

<h3>Find</h3>

the area of PSTK

<h3>Solution</h3>

It helps to draw a diagram.

∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as

... KS² = PS² + KP²

... 13² = PS² + 12²

... PS = √(169 -144) = 5

This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is

... A = (1/2)(b1 +b2)h

... A = (1/2)(12 +8)·5

... A = 50

The area of trapezoid PSTK is 50 square units.

5 0
3 years ago
Other questions:
  • .......................................................
    10·1 answer
  • How can you use factors to write a number as a product?
    13·1 answer
  • What’s 1×10×11×20×21×30×31×40×41×50×51×60×61×70×71×80×81×90×91×100
    14·1 answer
  • 498.4 is that percent of 602.8
    13·2 answers
  • In a poll of 745 randomly selected adults, 591 said that it is morally wrong to not report all income on tax returns. Use a 0.01
    11·1 answer
  • I'm confused on what the inequality is
    13·1 answer
  • The tax rate at this restaurant is 9.5%.
    11·1 answer
  • Can someone please help me ill give you a crown PLEASE HELP
    6·1 answer
  • Please help me on this​
    12·1 answer
  • What is the sum to 5.3x10^5 and 3.8x10^4 <br><br> pls help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!