Can you please help me with this question

Answer:

p = 6, q = - 1

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , [tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Given

xy = 32 , tat is

[tex]2^{p}[/tex] × [tex]2^{q}[/tex] = [tex]2^{5}[/tex]

Since the bases on both sides are equal, equate the exponents

p + q = 5 → (1)

Also

2xy² = 32 ( divide both sides by 2 )

xy² = 16 , that is

[tex]2^{p}[/tex] × [tex](2^{q}) ^{2}[/tex] = 16

[tex]2^{p}[/tex] × [tex]2^{2q}[/tex] = [tex]2^{4}[/tex] , then p + 2q = 4 → (2)

Thus

p + q = 5 → (1)

p + 2q = 4 → (2)

Subtract (1) from (2) term by term

q = - 1

Substitute q = - 1 into (1) for corresponding value of p

p - 1 = 5 ( add 1 to both sides )

p = 6

Answer:

94 when you add up all of the sides.

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 4 rectangles and 2 triangles on the surface of this solid.

Area = 2 * 5*5 + 5*6 + 2 * 1/2 * 6*4

= 50 + 30 + 24= 104 yd^2.

Answer:

y = 1/4x + 17/4

Step-by-step explanation:

first lets umm find the slope

use points that you can um clearly see ?

(4, 6) and (8, 7)

so use the equation y2 - y1/ x2 - x1

soooo

7 - 6/ 8 - 4

1 / 4

so it looks like:

y = 1/4x + b

so far

now we have to find the y-intercept with a point we did not use yet

but i have a little trouble so ill try my best to estimate a point

(2, 5)

we substitue

5 = 1/4(3) + b

5 = 3/4 + b

b = 5 - 3/4

b = 17/4

i want to check but its hard looking for exact points. i think this is the answer hope this helps!

On factorization of the equation x² − x − 6 = 0. Then the values of x are −2 and 3.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

x² − x − 6 = 0

On factorization, we have

 x² − 3x + 2x − 6 = 0

x(x − 3) + 2(x − 3) = 0

       (x − 3)(x + 2) = 0

                         x = −2, 3

The values of x are −2 and 3.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

Step-by-step explanation:

-2 and 3

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

1 times any number equals the other number

1*5=5

because there are 5 groups of 1

Answer:

A. -6

Step-by-step explanation:

The slope of the line that is perpendicular to the graph y = ⅙x + 8, is a negative reciprocal of the slope of the graph, y = ⅙x + 8.

What this means is that, if you multiply the slope of y = ⅙x + 8, and the slope of the line perpendicular to it, you would have -1. That is [tex] m_1 * m_2 = -1 [/tex].

Where,

[tex] m_1 [/tex] = slope of y = ⅙x + 8.

[tex] m_2 [/tex] = slope of the line perdendicular to y = ⅙x + 8.

The slope of y = ⅙x + 8 is ⅙.

Substitute [tex] m_1 [/tex] = ⅙ into [tex] m_1 * m_2 = -1 [/tex], to find the slope [tex] (m_2) [/tex] of the line that is perpendicular to the graph of y = ⅙x + 8.

[tex] \frac{1}{6} * m_2 = -1 [/tex]

Multiply both sides by 6

[tex] \frac{1}{6} * m_2 * 6 = -1*6 [/tex]

[tex] 1*m_2 = -6 [/tex]

[tex] m_2 = -6 [/tex]

The slope of the line that is perpendicular to the graph of y = ⅙x + 8 is -6.

Answer:

1X10^6

or

1.04x10^6

Step-by-step explanation:

You start by multiplying 5.2x10^4 by 20 because there are 20 petri dishes with this amount growing, and you get 1,040,000. Now we need to convert it to scientific notation. We know that 1,000,000 is 10^6, so we would move the decimal to the left 6 places and get 1.04x10^6. This is in scientific notation, but we need to keep in mind significant figures (sig figs), so your final answer would be 1x10^6, if that is not what your instructor is looking for, try 1.04x10^6.

Answer:

Slope of l:    

0.5

Slope of m:  

✔-0.75

Step-by-step explanation:

Line l:

y - 4 = 0.5(x - 1)

Line m:

y - 5 = -0.75(x - 43)

last part is Line l:

y = 0.5x + 3.5

Line m:

y = -0.75x + 37.25

Answer:

(Did it on edge)

Step-by-step explanation:

The correct answer is A.

Hope that helps you!!

9514 1404 393

Answer:

  5

Step-by-step explanation:

Put n=5 in the formula and do the arithmetic.

  [tex]d(5)=\dfrac{5}{16}2^{5-1}=\dfrac{5}{16}\cdot2^4=\dfrac{5\cdot16}{16}\\\\\boxed{d(5)=5}[/tex]

_____

The first few terms are ...

  5/16, 5/8, 5/4, 5/2, 5, 10, 20, ...

Answer:

$0.45 or 45 cents

Step-by-step explanation:

If i'm not mistaken.

in one pound, there are 16 ounces. Therefor, just divide 7.20 by 16 and you get 0.45. or 45 cents.

Hope this helps, brainliest is appreciated! :)
Have a great day! cx

~Mitsuna

Answer:

ok

Step-by-step explanation:

5px3=15p

5px-9=-45p

30p

please mark as brainlest.

5p(3-9)

5p(-6)

-30p

Thas your answer big bro

Answer:

4. C

5. I think D

6. A

7. B

Step-by-step explanation:

I hope this is correct and it helped

Answer:

I hope this helps!! Have an Amazing Day!! Let me know if it is wrong.

Answer:

True! 3 bags contain 150 pounds of dog food.

Step-by-step explanation:

Considering the perimeter of the rectangular table, it is found that 36 ballons are needed.

The perimeter of a rectangle of length l and width w is given by:

P = 2(l + w).

In this problem, the dimensions of the table are l = 8 ft and w = 4 ft, hence the perimeter is of:

P = 2(l + w) = 2 x 12 = 24 ft.

Ballons will be attached 8 inches = 2/3 feet along the perimeter, hence the number of ballons needed is given by:

[tex]n = \frac{24}{\frac{2}{3}} = 36[/tex]

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

Answer:

35

Step-by-step explanation:

By the triangle midsegment theorem, 2(WY)=VZ.

So, 2(p-21)=p-7, meaning p=35

Answer:

Time varies, some people are awake

Answer:

x=5 I think I'm not sure though please correct me if I'm wrong

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Have a good day/night

Answer:

x=5

Step-by-step explanation:

Answer:

A dollar bill is to light and the car is two heavy so the car

Step-by-step explanation:

Hope this helps!

Pretty sure a lamp.

A car would be 1000kg, a dollar bill less than 1kg, so most likely a lamp.

Answer:

[tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]

Step-by-step explanation:

Let x represent the total time spent calling and f(x) represent the charges.

Since Tracy is charged $29 for 250 free minutes, hence:

For x ≤ 250, f(x) = $29

Tracy is charged an extra $0.35 per minute for calls over 250 minutes, hence:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

Therefore this can be represented by the piecewise function:

f(x)=  [tex]\frac{29,x\leq 250}{29+0.35(x-250)x\geq 250}[/tex]

????????

Step-by-step explanation:

Answer:

∠ PTR = 140°

Step-by-step explanation:

∠ PTQ and ∠ RTS are vertical and congruent, thus

2x + 16 = x + 28 ( subtract x from both sides )

x + 16 = 28 ( subtract 16 from both sides

x = 12

Thus ∠PTQ = x + 28 = 12 + 28 = 40°

∠ PTQ and ∠ PTR are adjacent and supplementary, thus

∠ PTR = 180° - 40° = 140°

Answer:

Step-by-step explanation:

y = x² - 8

put x= 9   you have  y =  (9)² - 8 =81-8 = 73

Answer:

x = - 5

Step-by-step explanation:

Remember that f(x) is the same value as y. So if f(x) = 1 then y = 1

There is only 1 point that has a y value of 1 and it is on the far left. The value you want is - 5

The answer is x = - 5 when f(x) = 1

Answer:

1

Step-by-step explanation:

[tex](3^{n-1})\cdot(3^{1-n})\\\\=3^{n-1+1-n}\\\\\longrightarrow n-1+1-n=(n-n)+(-1+1)=0+0=0\\\\=3^{0}\\\\=1[/tex]

f(x) = -2x and g(x) = 4x - 8, find h(x) = f(x) + g(x).

Replace f(x) and g(x) with their given values:

h(x) = -2x + 4x -8

Combine like terms:

h(x) = 2x -8

Answer:

4.58

Step-by-step explanation:

$29.95(15%) = 4.4925+8.75% = 4.4925+0.0875 = 4.58