Michael is an engineer and is drawing a scale model of a centrifuge for an oil company. If the centrifuge is 24 meters tall and he's using a scale of 1 centimeter=6 meters, then how many centimeters tall should the centrifuge be in the drawing?

Given That:

x - (Rebecca's share + John's share) = 24

x - (x/3 + x/4) = 24

12x/12 - (4x / 12 + 3x / 12) = 24

5x/12 = 24

5x = 24 x 12

5x = 288

x = 57 or 58

Answer:

D

Step-by-step explanation:

(5/9)^8

You distribute the exponent 8 to both the 5 and the 9, so D is just 1 step more simplified.

Answer:  The correct option is (D) {5^8}{9^}.

hope this helps. ;)

Answer:

1.28 is the decimal form

Step-by-step explanation:

and 128/100 or 128% is the percentage for 32/25.

// have a great day //

Answer:

0.46 m

Step-by-step explanation:

area of desks: 8 m by 12 m = 8 m * 12 m = 96 m^2

20% of this area is 20% * 96 m^2 = 19.2 m^2

The area of the border is 19.2 m^2.

Let the path around the desks have width x.

The area of desks plus path is a rectangle 2x + 8 by 2x + 12.

area of desks plus path = (2x + 8)(2x + 12)

= 4x^2 + 24x + 16x + 96 = 4x^2 + 40x + 96

The area of the border is the area of the rectangle that includes the border minus the rectangle that has just the desks.

area of border = (4x^2 + 40x + 96) - (96) =

= 4x^2 + 40x

Above, we have the area of border = 19.2, so we get this equation:

4x^2 + 40x = 19.2

4x^2 + 40x - 19.2 = 0

x^2 + 10x - 4.8 = 0

We now use the quadratic formula to solve the equation for x.

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{10^2 - 4(1)(-4.8)}{2(1)} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{100 + 19.2 )}{2} [/tex]

[tex] x = \dfrac{-10 \pm \sqrt{119.2 )}{2} [/tex]

[tex] x = 0.46 [/tex]  or  [tex] x = -10.46 [/tex]

We discard the negative solution.

Answer: the border is 0.46 m wide.

Answer:

The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps

Step-by-step explanation:

Answer:

the mle of P=0.833

Step-by-step explanation:

X=incorrect answer

And probability of success to be denoted as P

Here X posses a binomial distribution along with 'r' and 'p'parameter

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION

Answer:

See explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

Answer:

If sinA = sinB, that means that ∠A = ∠B. Because this is a right triangle, ∠A = 45°.

Answer:

[tex]=-\left(3x-1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)[/tex]

Answer:

2/15 =  13 1/3 %

Step-by-step explanation:

eight yellow marbles, nine green marbles, three purple marbles, and five red marbles = 25

P(yellow) =  yellow/ total =8/25

Keep

7 yellow marbles, nine green marbles, three purple marbles, and five red marbles = 24

P(red) = red/total =5/24

P(yellow then red) = 8/25 * 5/24 = 1/15

Then we have (red, yellow) =

P(red) = red/ total =5/25 = 1/5

Keep

8 yellow marbles, nine green marbles, three purple marbles, and four red marbles = 24

P(yellow) = yellow/total =8/24 = 1/3

P(red, yellow) = 1/5*1/3 = 1/15

Add them together

1/15 + 1/15 = 2/15 =

Answer:

(1, 10) and (40, 0)

Step-by-step explanation:

Given expression 50x+150

inequality is

50x + 150y > 1500

it means that if we plug value of x and y from given option in  50x+150 then it should be greater than 1500.

lets check for all the option

(1,10)

50*1 + 150*10 = 50+1500 = 1550

Since , 1550 is greater than 1500, (1,10) is the solution for the inequality given

(10, 1)

50*10 + 150*1 = 500+ 150 = 650

Since , 650 is less than 1500, (10,1) is not the solution for the inequality given

(0, 10)

50*0 + 150*10 = 0 + 1500 = 1500

Since , 1500 is equal to 1500 but not greater than 1500, (0,10) is not the solution for the inequality given

(40, 0)

50*40 + 150*0 = 2000 + 0 = 2000

Since , 200 is greater than 1500, (40,0) is the solution for the inequality given above.

Thus, from the given option there are two solution for 50x + 150y > 1500

(1, 10) and (40, 0)

(1, 10) (40, 0) as the person above/below stated.

Answer:

8

Step-by-step explanation:

4+4

6-6+8

Answer:

[tex]\angle PRQ = 50^\circ[/tex]

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

[tex]\angle RPQ =99^\circ[/tex]

[tex]\angle PQR =31^\circ\\\text{Side QR} = 11\ units[/tex]

To find:

[tex]\angle PRQ =?\\Side\ PR = ?\\Side\ PQ = ?[/tex]

We know that the sum of all the angles of a triangle is equal to [tex]180^\circ[/tex]

i.e.

[tex]\angle PQR +\angle PRQ +\angle RPQ =180^\circ\\\Rightarrow 31^\circ +\angle PRQ +99^\circ =180^\circ\\\Rightarrow \angle PRQ = 180-130\\\Rightarrow \angle PRQ = 50^\circ[/tex]

To find the sides, we can use Sine rule:

As per Sine rule:

[tex]\dfrac{a}{sin A} =\dfrac{b}{sin B} =\dfrac{c}{sin C}[/tex]

Where a, b and c are the sides opposite to [tex]\angle A,\angle B,\angle C[/tex] respectively.

Using Sine rule in given triangle:

[tex]\dfrac{11}{sin 99} =\dfrac{b}{sin 31} =\dfrac{c}{sin 50}\\\\\text{Solving }\dfrac{11}{sin 99} =\dfrac{b}{sin 31} \\\Rightarrow b = \dfrac{11}{sin 99} \times sin31\\\Rightarrow b =5.74\ units\\\\\text{Now, Solving }\dfrac{11}{sin 99} =\dfrac{c}{sin 50} \\\Rightarrow c = \dfrac{11}{sin 99} \times sin50\\\Rightarrow c =8.53\ units[/tex]

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Answer:

Answer:

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

We are given the following details:

To find:

We know that the sum of all the angles of a triangle is equal to

i.e.

To find the sides, we can use Sine rule:

As per Sine rule:

Where a, b and c are the sides opposite to  respectively.

Using Sine rule in given triangle:

So, sides are

PR = 5.74 units and

PQ = 8.53 units

Step-by-step explanation:

Answer:

The last one on the bottom right

Step-by-step explanation:

When we are trying to fit a line for a number of points, we can fix this line at several points on the graph. However, out of the several lines that we can fit, only one of these lines would work perfectly and it is called the line of best fit.

The reason why it is called the line of best fit is that it is drawn in a manner in which it leaves equal number of points above it as below it.

Supposed we have 15 points for our graph with the line of the slope passing thorough 5, the line of best fit in this case would leave 5 points above and another 5 below the line.

Leaving 6 and 4 is also manageable, but in case where 3 and 7 are left above and below the line, then it becomes a problem

Thus, out of all the representations we have, the one on the bottom right best works

Answer:

24x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I did the edu test hope this helps♡

Answer:

Step-by-step explanation:

[tex]\sqrt{8xyz^{3}}*\sqrt{10x^{3}y^{2}z} =\sqrt{8xyz^{3}*10x^{3}y^{2}z}\\\\ =\sqrt{2*2*2*2*5*x^{1+3}*y^{1+2}*z^{3+1}} \\\\\\=\sqrt{2^{4}*5*x^{4}*y{3}*z^{4}} \\\\=2^{2}*x^{2}*y*z^{2}\sqrt{5y} \\\\\\=4x^{2}yz^{2}\sqrt{5y}[/tex]

Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

Hope that helped,

-sirswagger21

Answer:

C = 10 π cm

Step-by-step explanation:

Diameter is 2 x radius = 2*5.4 = 10.8 cm

radius r = 5 cm

diameter d = 10 cm

circumference C = 31.4 cm

area A = 78.5 cm2

In Terms of Pi π

circumference C = 10 π cm

area A = 25 π cm²

Formulas: Circle Formulas in terms of Pi π, radius r, and diameter d

Radius and Diameter:

r = d/2

d = 2r

Area of a circle:

A = πr2 = πd2/4

Circumference of a circle:

C = 2πr = πd

Answer:

c

Step-by-step explanation:

got it right on my test

Answer:

25.12

Step-by-step explanation:

C = 2*3.14*4

C = 8*3.14

C = 25.12

Answer:

C =25.12 cm

Step-by-step explanation:

The circumference is given by

C = 2* pi *r

C = 2 * 3.14 * 4

C =25.12 cm

Answer:

(A)[tex]128^{x/3}[/tex]

(D)[tex](4(2^{1/3}))^x[/tex]

Step-by-step explanation:

We want to determine which of the expression is equivalent to:

[tex]\sqrt[3]{128}^ x[/tex]

By the law of indices:

[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]

Similarly:

[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]

The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ

We want to find the expression that is equivalent to (∛128)ˣ

From law of indices, we have that;

(∛128)ˣ = [(128)^(1/3)]ˣ

This can be further expressed as;

(128)^(x/3)

Similarly, we have the simplified expression at;

[(128)^(1/3)]ˣ = (64 * 2)^(x/3)

⇒ (4³ * 2)^(x/3)

⇒ (4(2^(1/3))ˣ

Read more about law of indices at; https://brainly.com/question/11761858

#SPJ6

Answer:

17/100*85= $14.45

Step-by-step explanation:

Divide by 100 and multiply by (100-15) 85 to get the result.

Answer:

No solution

Step-by-step explanation:

5+x-14=x-7

-9+x=x-7

2+x=x

2=0

No solution

Answer:

I'm not sure but I think the answer is >

Step-by-step explanation:

It looks rig but if I were u I wouldn't trust me

i just did the quiz, It's > !

Answer:

15

[tex] \\ [/tex]

Step-by-step explanation:

[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]

Answer:

the missing side of the triangle is of length 15

Step-by-step explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]

Answer:

the set of all the real values which are strictly greater than zero which is all positive real numbers

Step-by-step explanation:

In interval notation: (0, ∞)

Any exponential function with a positive base and positive multiplier will have a horizontal asymptote at y=0 and will extend to +∞. That's what this one does.

Range of a function--

The range of a function is the set of all the values that are attained by a function.

We are asked to find the range of the function f(x)

the set of all the real values which are strictly greater than zero

x > 0

please mark me brainliest :)

Answer:

  4 cm

Step-by-step explanation:

You want the length of the smaller of two similar pieces of cardboard when the larger has an area of 150 cm² and a length of 10 cm, while the smaller has an area of 24 cm².

The scale factor for lengths is the square root of the scale factor for areas. It will be ...

  √(24/150) = 0.4 . . . . . . = smaller / larger

The smaller cardboard has a length of ...

  0.4 × 10 cm = 4 cm

__

Additional comment

Sometimes folks like to write this as a proportion:

  [tex]\dfrac{\text{smaller length}}{\text{larger length}}=\sqrt{\dfrac{\text{smaller area}}{\text{larger area}}}[/tex]

Solving this for "smaller length" gives the expressions we used above:

  smaller length = (larger length) × √(smaller area/larger area)

Answer:

9.5(2) = 19 is the diameter

Step-by-step explanation:

Answer:

19 cm

Step-by-step explanation:

Diameter is twice the radius, thus 2 x 9.5 cm = 19 cm

Answer:

3 to the power of 8 / 5

Step-by-step explanation: