Simplify the expression: (− 2/3 pq^4)^2·(−27p^5q)

Answer:

B

Step-by-step explanation:

B is the correct answer

2+i/5= i=5 +=-

have a nice day

Answer:

[tex]\boxed{\sf B) \ 2-i}[/tex]

Step-by-step explanation:

[tex]\sf \frac{2+i}{5}[/tex]

Reciprocal the fraction.

Switch the denominator with the numerator.

[tex]\sf \frac{5}{2+i }[/tex]

Multiply the numerator and the denominator with the conjugate [tex]\sf 2-i[/tex].

[tex]\sf \frac{5(2-i)}{(2+i)(2-i)}[/tex]

[tex]\sf \frac{10-5i}{(2+i)(2-i)}[/tex]

Apply rule to solve for the denominator:

[tex]\sf (a+bi)(a-bi)=a^2 +b^2[/tex]

[tex]\sf a=2\\b=1[/tex]

[tex]\sf \frac{10-5i}{2^2 +1^2 }[/tex]

[tex]\sf \frac{10-5i}{4+1}[/tex]

[tex]\sf \frac{10-5i}{5}[/tex]

Simplify the fraction.

[tex]\sf \frac{10}{5}-\frac{5i}{5}[/tex]

[tex]\sf 2-i[/tex]

Answer:

0.9

I guess.

If yes

.. Follow me..

Answer:

82% Add .34+.48.

Step-by-step explanation:

The question is asking how many people CAN swim. This is why the answer is 82. But if the question asks how many people CANT swim the answer will be 18. This is why some people might get confused.

Answer:

40

Step-by-step explanation:

[tex] 12x = 34^2 - 26^2 \\

12x = (34+26)(34-26)\\

12x = 60\times 8\\\\

x = \frac{60\times 8}{12}\\\\

x = 5\times 8\\

x = 40[/tex]

Answer:

(-3, 3.25)

Step-by-step explanation:

Answer:

9pq, 8qp, and 7x, 16y

Step-by-step explanation:

these pairs have the same variable and exponent. To be a like term, you have to have same variables and same exponents, so therefore 11a and 13a^2 can't be like terms.

Answer:

0.4.84

Step-by-step explanation:

you divide the 40 by 100

Answer:  approximately 24 square units in the shaded areas

Step-by-step explanation:  

The area of the entire dark circles will be for each πr², then divided by 2 to get the area of the semicircles created on the sides of the triangles:

16π + 9π = 25π   Half that times value for pi

≈ 39.2699  is the area of the dark semicircles. Round to 39.27

Now the fun! Find the area of the parts subtracted by the light semicircle:

The area of the entire circle is 25π  or about 78.54. The triangle is half of an inscribed rectangle, 6×8, so 48.  Subtracted from the circle leaves about 30.54 in the four slices between the arcs of the circumference and the perimeter of the rectangle. We are concerned with only half of the slices, so we will subtract 15.27

Area of the dark semicircles minus the area of the light slices will leave the area of the shaded crescents:

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation:

Answer:

what does ; resemble

Step-by-step

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

         Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

A) Let's solve for x. [tex]y^2-7=2xy[/tex]

Step 1: Flip the equation.

[tex]2xy = y^2 - 7[/tex]

Step 2: Divide both sides by 2y.

[tex]\frac{2xy}{2y} = \frac{y^2- 7}{2y}[/tex]

[tex]x = \frac{y^2- 7}{2y}[/tex]

Answer : [tex]x = \frac{y^2- 7}{2y}[/tex]

~~~~~~~~~~~~~

B) Let's solve for y. [tex]2x^2+3=xy[/tex]

Step 1: Flip the equation.

[tex]xy = 2x^2 + 3[/tex]

Step 2: Divide both sides by x.

[tex]xy = \frac{2x^2 + 3}{x}[/tex]

[tex]y = \frac{2x^2 + 3}{x}[/tex]

Answer : [tex]y = \frac{2x^2 + 3}{x}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

The question was not written properly above.

Complete Question :

Lea's car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for 172.5 mile trip, what was the approximate cost of gas in dollars per gallon?

Answer:

$3.6

Step-by-step explanation:

From the above question, we have the following information:

For

30 miles = 1 gallon of gas

We are also told she travelled,

$20.70 on gas for 172.5 miles

Step 1

Find how many gallons of gas was issued in the 172.5 miles

30 miles = 1 gallon of gas

172.5 miles = y

Cross multiply

30 × y = 172.5 miles × 1

y = 172.5 miles/30

y = 5.75 gallons

Therefore, for 172.5 miles she used 5.75 gallons of gas

Step 2

For step 2 we find the approximate cost of gas in dollars per gallon

$20.70 = 172.5 miles = 5.75 gallons of gas

Hence,

5.75 gallons of gas = $20.70

1 gallon of gas = $X

Cross Multiply

5.75 gallons × $X = $20.70 × 1 gallon

$X = $20.70 × 1 gallon/ 5.75 gallons

$X = $3.6

X = $3.6

Therefore, the approximate cost of gas in dollars per gallon = $3.6

Answer:

104

Step-by-step explanation:

:D

Answer:

0.475 kg

Step-by-step explanation:

1/2 kg = 0.5 kg

125g = 0.125kg

475g = 0.475kg

grams are lighter than kg and 0.5kg,0.125g, and 0.6kg are all lighter than 0.475kg

hope this helps!

Answer:

0.6 kg

Step-by-step explanation:

The easy way to find out the answer is to bring all into same unit:

Comparing all four we see the greatest number is 600, so the answer is :

Answer:

please mark my answer brainliest

Step-by-step explanation:

can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...

Answer:

66 degrees

Step-by-step explanation:

WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.

Hope this is helpful! :)

A=24in² this th ans because the side of cube is 24 cm

Answer:

Step-by-step explanation:

[tex]10.5 \:trees = 5 \:cabins\\x \: trees\:\:\:\:\:\:=7\:cabins\\\\5x = 73.5\\\frac{5x}{5} = \frac{73.5}{5}\\ x = 14.7 \: trees[/tex]

Answer:

see below

Step-by-step explanation:

In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.

Answer:

First blank: 6a

Second blank: 2/3

Third blank: 21.6

Fourth blank: 3.9

Step-by-step explanation:

Basically, all you need to do is distribute the 2/3 to the stuff inside the parentheses. That means in the first blank, write 6a inside since you're multiplying 2/3 and 6a, and then in the second blank you write 2/3 since you're multiplying 2/3 and 9 together.

2/3*6a+2/3*9 = 21.6 is what you should have.

Now, just solve for a.

4a+6 = 21.6

4a=15.6

a=3.9

Answer:

2/3 * 6a+ 2/3 +9 = 21.6

a = 3.9

Step-by-step explanation:

2/3 ( 6a+9) = 21.6

Distribute

2/3 * 6a+ 2/3 +9 = 21.6

4a + 6 = 21.6

Subtract 6 from each side

4a = 15.6

Divide each side by 4

4a/4 = 15.6/4

a =3.9

Answer:

$ 327.08

Step-by-step explanation:

Let x = width of the container,

Then Length of the container = 2x

Let h = height of the container,

volume of the container can be calculated as length × width × height

= 2x × x × h

= 2x² h

Then we can say Volume =

= 2x² h=10

If we simplify inorder to get h

We have h= 5/x²

Then the area= (2L×h) +(2xh)

Where L is lenght

x= wish

h= height

= 2× 2x × h+ x× h

= 4x× 5/x + 2x × 5/x

Area = 30/x

Now, the area of the base = length × width

But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter

Then the cost C(x)= 2x²× 20+30/x ×12

C(x)= 40x²+35/x²

If we differenciate wrt x we have

C(x)= 80-360/x²

If we equate C(x)=0the

80=360/x²

x= 1.651

If substitute to C(x)= 40x²+35/x²

C(x) = 40(1.651)² + 35/(1.651)²

We have cost= 327.08

Answer:

1/19

Step-by-step explanation:

Let's say there are x yellow cubes.

That means there are 3x blue cubes.

Therefore, there must be 15x green cubes.

In total: we have 19x cubes.

Therefore the probability of a cube being yellow is x / 19x

which simplifies to 1/19

Answer:

1/19

Step-by-step explanation:

Solution:-

- First we will define the distribution of colors in the bag.

- We will use variable:

                     x: the number of yellow cubes in bag

- The following color distribution can be made by using the data given in the question:

                   Color                     Number of cubes

                   Yellow                               x

                   Blue                                  3*x = 3x

                   Green                               3x*5 = 15x

          ======================================

                  Total                                 19x

          ======================================

- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.

         p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]

         p ( Picks Yellow cube ) = [ x ] / [ 19x ]

         p ( Picks Yellow cube ) = 1 / 19   .... Answer

Answer:

6/50

Step-by-step explanation:

Jenny pulled out 6 purple tiles out of the 50 trials

Answer: The experimental probability of Jenna pulling a purple tile is 6/50.

Step-by-step explanation:

In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.

Answer:

See Below

Step-by-step explanation:

The relation is :

=> {(-5,0)(2,8)(2,15)(4,16)}

Domain => x inputs of the relation

Domain = { -5 , 2, 4}

Range => y inputs of the relation

Range = { 0 , 8 , 15 , 16}

Answer:

432cm²

Step-by-step explanation:

If the Perimeter is 120cm, PT=8 (120-28-12-12-28-12-12)/2

This means the rectangle is 24x36.

area of a kite is the diagonals divided by 2 (or half of the rectangle).

24x36=864

864/2=

432 cm²

Answer:

The answer is 61

Step-by-step explanation:

To find each n term replace the n with term u need to find .

A(12)= -5+6(12-1)

=-5+6(11)

=61

Answer:

61

Step-by-step explanation:

A(n)=-5+6(n-1)

Let n = 12

a(12) = -5 + 6(12-1)

         -5+6(11)

       -5+66

         61

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= [tex]\pi[/tex][tex]r^{2} *h[/tex]  Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

V= [tex]\pi[/tex][tex]r^{2}[/tex]*h /3

So if they have the same dimensions which is the height and the radius then we will just divide the  volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V =  130 cm^3

Answer:

[tex]sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Step-by-step explanation:

Given that:

[tex]\theta[/tex] is an angle in a right angled triangle.

and [tex]cos\theta = C[/tex]

To find:

To draw the triangle and write other five trigonometric functions in terms of C.

Solution:

We know that cosine of an angle is given by the formula:

[tex]cosx =\dfrac{Base}{Hypotenuse}[/tex]

Here, we are given that [tex]cos\theta = C[/tex] OR

[tex]cos\theta = \dfrac{C}{1}[/tex]

i.e. Base = C and Hypotenuse of triangle = 1

Please refer to the right angled triangle as per given statements.

[tex]\triangle PQR[/tex], with base PR = C units

and hypotenuse, QP = 1 unit

[tex]\angle R[/tex] is the right angle.

Let us use pythagorean theorem to find the value of perpendicular.

According to pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]1^{2} = C^{2} + QR^{2}\\\Rightarrow QR = \sqrt {1-C^2}[/tex]

[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta = \dfrac{\sqrt{1-C^2}}{1}\\\Rightarrow sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{Base}{Perpendicular}\\\Rightarrow cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{Hypotenuse}{Base}\\\Rightarrow sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{Hypotenuse}{Perpendicular}\\\Rightarrow cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Answer:

y = - 16t² + 55.6t + 6

Step-by-step explanation:

Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football

So y = y₀ + vt - 1/2 × (32 ft/s²)t²

y = y₀ + vt - 16t² where y₀ = 6.5 ft

y = 6 + vt - 16t²

Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have

5 = 6.5 + v(3.5 s) - 16(3.5 s)²

5 = 6.5 + 3.5v - 196

collecting like terms, we have

5 - 6.5 + 196 = 3.5v

194.5 = 3.5v

v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s

So, substituting v into y, our quadratic model is

y = 6 + 55.6t - 16t²

re-arranging, we have

y = - 16t² + 55.6t + 6

Answer:45

Step-by-step explanation:

Answer:

B. 30 square units

Step-by-step explanation:

Edge 2021

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.