Which expression is equivalent to 30 (1/2 x-2)+40(3/4y-4)

Answer:

Time, t = 5 seconds.

Step-by-step explanation:

Given the following data;

Initial velocity = 16 ft/s

Height = 480 ft

Acceleration due to gravity = 32 ft/s²

To find how much time it will take the ball to reach the ground, we would use the kinematic equation given by the formula;

[tex] d = V_{i}t + \frac {1}{2}at^{2} [/tex]

Where;

Substituting into the equation, we have;

[tex] 480 = 16t + \frac {1}{2}*32t^{2} [/tex]

[tex] 480 = 16t + 16t^{2} [/tex]

Dividing all through by 16, we have;

[tex] 30 = t + t^{2} [/tex]

Re-arranging the quadratic equation, we have;

[tex] t^{2} + t - 30 = 0 [/tex]

We would solve the quadratic equation by factorization;

[tex] t^{2} + 6t - 5t - 30 = 0 [/tex]

[tex] t(t + 6) - 5(t + 6) = 0[/tex]

[tex] (t + 6)(t - 5) = 0 [/tex]

t = -6 or 5

Since we know time can't be negative, we would ignore the value of -6.

Therefore, time = 5 seconds

Step-by-step explanation:

A density curve for all the possible ages between 0 years and 25 years on the shape of a triangle. 0.04

Answer:

here we have:

x = 5*t + 3

y = 2*t - 6

both for -2 ≤ t ≤ 3

First, we can rewrite:

x = a*y + b

let's try to find the values of a and b.

5*t + 3 = a*(2*t - 6) + b

5*t + 3 = a*2*t + (b - 6*a)

Here we have two equations:

5 = a*2

3 = (b - 6*a)

from the first one, we can solve:

5/2 = a

replacing this into the second, we et:

3 = b - 6*(5/2)

3 = b - 15

3 + 15 = b = 18

Then:

x = (5/2)*y + 18

y =  2*t - 6

So, y is a linear equation that depends on the variable t

x is a linear equation that only depends on x (from this we already know that the graph will be a line)

and we know that  −2 ≤ t ≤ 3

Then the minimum value of y is:

y = 2*(-2) - 6 = -10

and the largest value of y is:

y = 2*3 - 6 = 0

So y-varies in the range between -10 and 0

And because x =  (5/2)*y + 18

The minimum value of x is:

x = (5/2)*-10 + 18 = -25 + 18 = -7

and the maximum value of x is:

x = (5/2)*0 + 18 = 18

Then we know that this line starts in the point (-10, -7) and ends in the point (0, 18)

Answer:

12 students

Step-by-step explanation:

So we know that 65% of students prefer math over the 35% of students that prefer science.

To find the answer we have to change the percentages to decimals and multiply by 40, which is the total number of students.

Math: 65%=0.65 , so 0.65 times 40=26 students

Science:35%=0.35, so 0.35 times 40=14 students

To find the difference, subtract 26 and 14, to get 12.

All in all, twelve students prefer math over science.

Hope I helped, have a nice day :)

Answer:

Answer is 12 more students prefer math over science.

Step-by-step explanation:

For this question all you need to to is multiply the decimal or the percent by 40 to get the student ratio. So for the math. 40 * .65 = 26. So 26 students like math.

For the science we do 40*35% or if you want to write it decimal form 40*.35 = 14. Okay now we have both values all you need to do to get the difference is subtact 26-14= 12. 12 more students prefer math over science.

Answer:

I have the same doubt so pls answer

Step-by-step explanation:

Answer: 10.9

Step-by-step explanation

Step-by-step explanation:

Let the number be n. Then: n = n^2 - 30 .

Rewriting this in standard quadratic format, we get:

n^2 - n - 30.

This factors into: (n - 6)(n + 5),

whose solutions are 6 and -5

Answer:

Here's what I got

Step-by-step explanation:

(6n^2 - 6n - 5)(7n^2 + 6n - 5)

42n^4 - 6n^3 - 101n^2 + 25

(n^2 + 6n - 4)(2n - 4)

2n^3 + 8n^2 - 32n + 16

Answer:

B C and F

Step-by-step explanation:

Polygons are closed shaped with straight lines

D and E have curves therefore they cannot be classified as polygons

A is not closed therefore it A is not a polygon

B, C and F are closed and use only straight lines therefore those 3 are polygons

9514 1404 393

Answer:

  13.6

Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(29°) = 6.6/x

  x = 6.6/sin(29°) . . . . . . multiply by x/sin(29°)

  x ≈ 13.6

Answer:

Step-by-step explanation:

hope it helps much

Answer:

The answer is "0.052 and 0.056".

Step-by-step explanation:

For option 1:

Your daughter's opportunity (in sport) (when a person only wins once)

[tex]\to \frac{1}{39}+\frac{1}{38}\\\\ \to \frac{38+39}{1,482} \\\\\to \frac{38+39}{1,482} \\\\\to 0.052[/tex]

For option 2:

Your daughter would win a chance (in sport) [tex]= \frac{1}{18} = 0.056[/tex]

So a little better, the second option. The rationale is that there are fewer girls than boys so if a lottery in a smaller group is awarded you are more likely to win.

I would answer, but I don’t see the graph. If you add the graph I could help (if you want of course, not trying to be rude. Sorry!)

Answer:

ABC ya?

Step-by-step explanation:

I think its in a minigame

Answer:

A withdrawal of 72 dollars & E) a depth of 72 feet

Step-by-step explanation:

It is negative, which means subtract. So we will take away 72 dollars.

A depth of 72 feet is also negative since we are going down.

Answer:

A

Step-by-step explanation:

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

Answer:

here's the whole unit test

Step-by-step explanation:

ur welcomeeeee ;)

Answer:

YOu have to add them i think

Step-by-step explanation:

First add the 3-4 and then finish it

Answer:

C

Step-by-step explanation:

Though you may think that u can change that piece to there, but the possibility is very less

Answer:

44.402

Step-by-step explanation:

Equation

SA = 2L*W + 2L*H + 2*WH

Givens

L = 2.7

W=1.13

H = 5

Solution

LW = 2.7 * 1.13  = 3.051

LH = 2.7 * 5  =    13.5

WH = 1.13 * 5  =  5.65

SA = 2*3.051 + 2*13.5 + 2*5.65

SA = 6.102 + 27 + 11.3

SA = 44.402

Answer:

2x > 0

Step-by-step explanation:

[tex]\frac{50}{100} :\frac{x}{y}[/tex]

50 × y = x × 100

50y = 100x

50y ÷ 50 = 100x ÷ 50

y = 2x

Answer:

[tex]x = \pi \div 4 [/tex]

Answer:

x=21

Step-by-step explanation:

I hope this is correct if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

21

Step-by-step explanation:

do the inverse opperation of -5 to isolate the variable on the other side and than your answer equals 21.

Answer:

The answer for this problem is 2xy^6 * 7x^7y^4 (C).

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that [tex]p = 0.05[/tex]

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that [tex]n = 15[/tex]

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006[/tex]

0.0006 = 0.06% probability of this occurrence

Answer:

5c + 42 and 9c + 2

Step-by-step explanation:

if a number has a variable next to it then it cannot be combined with a number that is alone.. Therefore there is no exact answer unless the variable has a number that you can replace it with. So basically numbers with the same number can be added together and numbers alone can be added together. If you do the math right then you should get the answer.

Answer:

Answer:

1,542,682 cm^3.

Step-by-step explanation:

The scale factor = √169:√289

= 13:17

So the Volume ratio is 13^3:17^3

So the volume of the larger solid is  689,858 * (17^3/13^3)

= 1,542,682 cm^3.

Answer:

6 regular coffees. Thank it if its helpful, thank you!

Step-by-step explanation:

75% of 8 is 6

Reasoning:

75/100*8/1=600/100

600/100=6!

Answer:

Regular coffee served by cafe = 75%* 8

                                                   = 75/100*8 =  6 coffees

Step-by-step explanation:

Answer:

(B) x + 4y = 7

Step-by-step explanation:

Answer:

Graph the -x+2y=-8  as  y=1/2x-4

and 2x+4=6  as  y=-2x+6

Step-by-step explanation:

hope you understand how to graph y=mx+b equations.

Answer:

answer choices?

Step-by-step explanation: