Evaluate the expression: 5 + 3 × (5 - 2x2)

32
72
36
16

Answer:

32 trips.

Step-by-step explanation:

It's a proportion question.

7/84 = x/384

84x = 7*384

84x = 2688

Divide both sides by 84 to isolate x.

x = 2688/84

x = 32

So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.

(I apologize if the answer is wrong!)

Answer:

x=3

Step-by-step explanation:

1) Subtract 3x from both sides

2 = 6x - 7 - 3x

2) Simplify 6x - 7 - 3x  to 3x - 7

2 = 3x - 7

3) Add 7 to both sides

2 + 7 = 3x

4) Simplify 2 + 7 to 9

9 = 3x

5) Divide both sides by 3

9/3 = x

6) Simplify 9/3 to 3

3 = x

7) Switch sides

x=3

Differentiate both sides of

[tex]x^{2/3} + y^{2/3} = 4[/tex]

implicite with respect to x :

[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for the derivative dy/dx :

[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]

Get the slope at the given point (-3√3, 1) :

[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]

Then the equation of the tangent line to the curve through (-3√3, 1) is

[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

Answer:

F = 15.625

Step-by-step explanation:

This question may look quite tricky because of the square number, and fraction, but it is actually quite simple when you break it down.

To calculate this question we need to substitute the number 1000 (because we are told this is f) into where f is in our equation. Our new equation is F=1000/r^2.

Next, we need to substitute the number 8 (because we are told this is r) into where r is in our equation. Our new equation is F=1000/8^2.

At this stage, it is just a matter of putting this information directly into a calculator to find F. The answer we get is 125/8, and to get this is into decimal form, we just divide 8 by 125, and the answer is 15.625. This is our final answer.

I have attached a photograph of this calculation written down.

9514 1404 393

Answer:

  60

Step-by-step explanation:

The average rate of change on the interval is ...

  (f(9) -f(3))/(9 -3) = ((5·9² -3) -(5·3² -3))/(9 -3) = (402 -42)/6 = 60

Answer:

(8-(3+b))3

Step-by-step explanation:

first of all, we have to variables, 3 and b that we are told to add

that is, 3+b

we are now told to subtract the answer from 8

that is 8 minis the answer

= 8- (3+b)

lastly we triple the answer to give

(8-(3+b)3

or

3(8-(3+b)

Answer:

The answer is $2,732,728

Step-by-step explanation:

You start subtracting by aligning the numbers by place value. You subtract and get 28 then you have to subtract 0 - 3 which you can’t do and next to it are 2 other 0’s the only number you can carry is 7. You cross out the 7 and put a 6 in its place. The zero next to it becomes a 9. The one next to it also becomes a 9. Then the one on top of the three becomes a 10. You then do 10 - 3. Which equals 7. Then you do 9 - 7 = 2. 9 - 6= 3. You can’t do 6 - 9. so you cross out the 3 make it a 2 and turn the 6 into a 16. 16 - 9 =7. 2 - 0 =2 so then you get. $2,732,728.

Answer:

OPTION D

Step-by-step explanation: PLS MARK BRAINLIEST :D

Answer:

18 , 24, 30

Step-by-step explanation:

6x + (6x+6) + (6x+6+6) = 4*6x

18x + 18 = 24x

6x = 18

x = 3

3 multiples of 6: 18 , 24, 30

check: 18+24+30=72

           4*18 = 72

Answer:

225

Step-by-step explanation:

(90000÷325)×65=18000

18000÷80=225

reading rate of 225 words per minutes

Answer:

b.

Step-by-step explanation:

Answer:

We need a question

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

The opposite of -9 is 9.

Answer:

The choice Draw 2

Step-by-step explanation:

[tex]3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24- 12x + 12x < 6x + 12x - 30 \\ 24 < 18x - 30 \\ 24 + 30 < 18x - 30 + 30 \\ 54 < 18x \\ 54 \div 18 < 18x \div 18 \\ 3 < x \\ x > 3[/tex]

I hope I helped you^_^

Answer:

7/9

Step-by-step explanation:

Hope this helps you. Have a nice day.

Answer:

x=2

Step-by-step explanation:

Answer:

-5m-14

Step-by-step explanation:

-8M-8+3M-6

Add -8m and 3m, -8 + 3m = -5m

Next add negative 8 and 6, -6 + -8 = -14

Lastly, put it together,  -5m -14.

Hope that helps!

Answer:

5.00

Step-by-step explanation:

The direct distance between Buckingham Palace and St. Paul's Cathedral is 5 kilometers.

Given the coordinates of Buckingham Palace as (-2, 2) and St. Paul's Cathedral as (-2, -3).

To find the direct distance between two points on a grid, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula in a 2-dimensional Cartesian plane is:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

We can calculate the distance between them as follows:

x₁ = -2, y₁ = 2 (Coordinates of Buckingham Palace)

x₂ = -2, y₂ = -3 (Coordinates of St. Paul's Cathedral)

Distance = √((-2 - (-2))² + (-3 - 2)²)

= √(0² + (-5)²)

= √(0 + 25)

= √25

= 5 kilometers

So, the distance is 5 kilometers.

To learn more about the distance between two points;

https://brainly.com/question/24485622

#SPJ3

The 75 exhibits are in the reptile house.

we have given that,

A volunteer at the zoo is responsible for feeding the animals in 15 exhibits in the reptile house.

We have to determine how many exhibits are in the reptile house.

Therefore we have

if 15 exhibits = 20% of total exhibits,

A percentage is a number or ratio expressed as a fraction of 100.

then 15/20% = 75 total exhibits in the reptile house

We can check the answer,

75 x 20% = 15

Therefore the 75 exhibits are in the reptile house.

To learn more about the percentage of visits:

https://brainly.com/question/24304697

#SPJ1

Answer:

1) The relationship is times 3

2) it is 5x3 so this the teh relation

Step-by-step explanation:

I got 100% in the question and qiz

Answer:

3/9

Step-by-step explanation:

Common denominator: 27

24/27 - 9/27 = 15/27 = 3/9

Answer:

Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on. All the numbers to the right of the place you are rounding to become zeros. Rounded numbers are easier to remember and easier to use.

Answer:

45621.0

Step-by-step explanation:

Already rounded to the nearest tenth.

Answer

the answer to this question is 45620.

Using the expected value, it is found that the highest value you could set the price is: $5.

-----------------------------

For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].

The charge is x.

6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.

10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.

36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.

Since we want the expected value to be 0:

[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]

[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]

[tex]22x = 110[/tex]

[tex]x = \frac{110}{22}[/tex]

[tex]x = 5[/tex]

The highest value you could set the price is: $5.

A similar problem is given at https://brainly.com/question/24905256

Let the number be x

[tex]\\ \sf\longmapsto \dfrac{-3}{4}\times\dfrac{-3}{8}x=\dfrac{-3}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-3}{8}x=1[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-8}{3}[/tex]

Answer:

x = [tex]\frac{y}{7}[/tex], y = 7x

Step-by-step explanation:

hope this helps