is three a solution of z^2 +1=4+3z?

Answer:

1) a³b⁴/ ab³ = a²b

2)2 (x³ )² = 2x^6

3)3x*2x³ y² = 6x⁴y²

Answer:

Estimated 120 students

Step-by-step explanation:

Hi there!

The survey established that 3 out of the 75 students did not have social media accounts.

[tex]\displaystyle \frac{3}{75}[/tex]

Let [tex]x[/tex] be equal to the number of students in the entire school who does not have social media accounts.

[tex]\displaystyle\frac{x}{3000}[/tex]

Create a proportion:

[tex]\displaystyle \frac{3}{75}=\displaystyle\frac{x}{3000}[/tex]

Multiply both sides by 3000 to isolate [tex]x[/tex]:

[tex]\displaystyle \frac{3}{75}*3000=\displaystyle\frac{x}{3000}*3000\\\\\frac{9000}{75}=x\\\\120=x[/tex]

Therefore, the number of students in the entire school who do not have social media accounts is estimated to be 120.

I hope this helps!

Answer:

B. [tex]2ab^5\sqrt{2ab}[/tex]

Step-by-step explanation:

To simplify, first, simplify the integers. The integers include the number 8. To simplify 8, find out what is the largest perfect square that is a factor of 8. In this case, that is 4. Then, divide 8 by that number. This equals [tex]\sqrt{4} *\sqrt{2}[/tex]. Since the square root of 4 is 2, it can be taken out of under the radical. So, the new expression is [tex]2\sqrt{2a^3b^11}[/tex].

Next, simplify the exponents. To simplify exponents under a radical divide the exponent by the root. For example, 3 divided by 2 is 1 with a remainder of 1. So, take the answer out from under the radical and then leave the remainder in the radical. This looks like[tex]\sqrt{a^3} = a\sqrt{a}[/tex]. Then, do this for the other variable, [tex]\sqrt{b^11} = b^5\sqrt{b}[/tex]. Finally, put everything for the final answer, [tex]2ab^5\sqrt{2ab}[/tex].

Let's solve

Using Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto c^2=8^2+5^2[/tex]

[tex]\\ \sf\longmapsto c^2=64+25[/tex]

[tex]\\ \sf\longmapsto c^2=89[/tex]

[tex]\\ \sf\longmapsto c=\sqrt{89}[/tex]

[tex]\\ \sf\longmapsto c\approx 9.22[/tex]

Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18

Step-by-step explanation: You would need to simplify the expression by using distributive property.

Answer:

d) |-5 - (-2)|

..........................

Answer:

37

Step-by-step explanation:

10z - 3 = 10(4) - 3

=40-3

=37

Answer:

37

Step-by-step explanation:

10*4-3 (z=4)

40-3

37

Hope it helps you

Answer:

t= i/pr

Step-by-step explanation:

We were given that the amount of simple interest earned is given by the formula, i= prt

The above formula is an example of a literal equation.

We want to solve this formula for T.

But we can observe that the product of two letters  are multiplying the letter T.

So we multiply both sides of the literal equation by the reciprocal of PR witch is 1/PR to obtain, I*1/PR=*PRT

This implies that, i/pr=t

We can rewrite this as, t=i/pr

Therefore the correct answer is C.

Answer:

pagal man

Step-by-step explanation:

tumko Answer Nahi Aata Padhte Likhte Nahi hoo kya

Answer:

base = 18.89

legs = 16.89

Step-by-step explanation:

x + x + 68 = 180

2x + 68 = 180

2x = 112

x = 56

The altitude = 14

Tan(56) = opposite / adjacent

adjacent = base

opposite = altitude

Tan(56) = opposite / base                Multiply both sides by the base

base * Tan(56) = opposite                Divide by Tan(56)

base = opposite / Tan(56)

base = 14/tan(56)

base = 9.443

The base is actually twice this length because the altitude lands on the midpoint of the opposite side and is perpendicular to the third side (base).

base = 18.886  

Legs are the hypotenuse formed by 1/2 the base and the attitude.

Sin(56) = opposite / hypotenuse

Sin(56) = altitude / hypotenuse

hypotenuse = altitude / Sin(56)

hypotenuse = 14 / sin(56)

hypotenuse = 16.887

Rounded

base = 18.89

legs = 16.89

Answer:

C. y = 2x -4

Step-by-step explanation:

We can use the points (0, -4) and (2, 0).

y = mx + b (m is slope, b is y-intercept)

m = delta y / delta x

m = 4 / 2

m = 2

y = 2x + b

We can plug in (2, 0):

0 = 4 + b

b = -4

y = 2x - 4

Answer:

C. y = 2x - 4

Step-by-step explanation:

In this problem, you can use two equations. The equation for slope. y₂-y₁ ÷x₂-x₁ = rise÷run otherwise simplified to m. Next, you need the linear equation, y=mx+b. Where you can directly input the m from the equation for slope. You can use the two points (3,2) and (2,0). 2-0÷3-2 = 2÷1 or 2. 2=m. Putting 2 into the next equation (y=mx+b) you now have y=2x+b.

Next use a point like (2,0) and input the x and y into the equation. (0)=2(2)+b.

0=4+b

-4 -4

-4=b

The equation is now. y=2x-4.

Answer:

option A

Step-by-step explanation:

when there is an open circle, that means Less than or equal to.

if and when there is a Closed, colored Circle, It's Greater than or equal to or less than or equal to

Answer:

v = (base x height x length)/2

(7 x 10 x 13)/2 = 455 x 3.15 = 1433.25$

hope that answers your question

Answer:

D. X + 9​

Step-by-step explanation:

x² + 2x - 63

What 2 numbers multiply to -63 and add to 2

9 * -7 = -63

9+-7 = 2

(x+9)(x-7)

Answer:

4(2x-5)

Step-by-step explanation:

8x - 20

Rewriting

4*2*x - 4*5

Factor out 4

4(2x-5)

Answer:

the answer is A

I think so

Answer: Yo-yo

Concept:

In order to find the Cost Per Toy, we need to do the operation Cost / Toy.

Solve:

Slinky = Cost / Toy = 9 / 5 = $1.8 per toy

Wind-up robot = Cost / Toy = 16 / 8 = $2 per toy

Yo-yo = Cost / Toy = 15 / 6 = $2.5 per toy

Emoji beach ball = Cost / Toy = 3 / 2 = $1.5 per toy

Hope this helps!! :)

Please let me know if you have any questions

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

Explanation:

The two smaller triangles are proportional, which lets us set up this equation

5/n = n/15

Cross multiplying leads to

5*15 = n*n

n^2 = 75

----------

Apply the pythagorean theorem on the smaller triangle on top, or on the right.

a^2+b^2 = c^2

5^2+n^2 = m^2

25+75 = m^2

100 = m^2

m^2 = 100

m = sqrt(100)

m = 10

Answer

1 + 5 ÷ 5

This would equal 2, using BIDMAS.

Answer:

D. 47%

Step-by-step explanation:

divide the number of sophomores by the total number of students

180/387=0.46512

then multiply by 100 to get the percentage: 46.512 or 47%

Answer:

D. 47%

Step-by-step explanation:

To find the probability that a student in the survey is a sophomore, we need to find what percentage of the total population are sophomores.

180 sophomores

387 people

180/387 = 0.465

0.465 ⇒ 46.5%

Round to the nearest percent.

46.5% ⇒ 47%

D. 47%

Hope this helps!

Answer:

Step-by-step explanation:

It should be:

Answer:

45

Step-by-step explanation:

estimate

Answer:

80

Step-by-step explanation:

You could multiply by 2 and then divide by 3

120*2 = 240

240/3 = 80

Or you could divide by 3 and then multiply by 2

120/3 = 40

40*2 = 80

Answer:

Step-by-step explanation:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

132.7 feet.

Step-by-step explanation:

tan 37 = height of cliff / distance of the ship

=  100/d

d = 100/tan37

= 132.7 feet.

Answer:

Step-by-step explanation:

3) Surface area of cube = 6a² where a is side of the cube.

a)  a = 6 cm

Surface area of cube = 6 * 6*6 = 216 cm²

b) a = 4.5 cm

Surface area of cube = 6 * 4.5 * 4.5 = 121.5 cm²

4)  Area of cuboid = A = 2(lb + bh + hl)

a) l = 10 cm ; h = 6 cm  ; A = 376 cm²

  A = 376

2(lb + bh + hl) = 376

2(10b + 6b + 60) = 376

2*( 16b + 60) = 376

 2*16b + 2*60 = 376

     32b + 120 = 376

        32b  = 376 - 120

          32b = 256

             b = 256 / 32

b = 8 cm

5) Surface area  of cube = 150 cm²

6a² = 150

Divide both sides by 6

a² = 150/6

a² = 25 = 5*5

a = 5 cm

6)  l = 15 cm ; b = 12 cm ; h = 10cm

Lidless. so area of top portion is not included

Surface area of lidless cuboid = 2(hb + hl) + lb

                                                  = 2*(10*12 + 10*15) + (15*12)

                                                  = 2*(120 + 150) + 180

                                                  = 2* 270 + 180

                                                  = 540 + 180

                                                   = 720 cm²

Step-by-step explanation:

Q5:Find the length of each side of the cube whose Total surface area are given below:

(B)2400cm^2

Solution:

T.S.A= 6a^2 [ we have to find a]

2400=6a^2

2400/6=a^2

400=a^2

a=squareroot of 400

=20

So, 20cm is the length of a cube.

Answer:

2296 unit^2

Step-by-step explanation:

The area is the sum of the  6 rectangles in the net.

= 38*10 + 38*16 + 38*10 + 38*16 + 10*16 + 10*16

= 380 + 608 + 380 + 608 + 160 + 160

= 2296.

Answer: don't know

Step-by-step explanation:

Answer:76

Step-by-step explanation:

something amazing

Answer:

-$87

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY