what is the first step to solving this equation?
-5+6=4
a. subtract 6 from both sides
b. multiply both sides by 5
c. divide both sides by -5
d. add 6 to both sides

Answer:

The egg hits the ground after 2.5 seconds.

Step-by-step explanation:

Height of the egg:

The height of the egg after t seconds is given by:

[tex]h(t) = 100 - 16t^2[/tex]

After how many seconds does the egg hit the ground?

This is t for which [tex]h(t) = 0[/tex]. So

[tex]h(t) = 100 - 16t^2[/tex]

[tex]16t^2 - 100 = 0[/tex]

[tex]16t^2 = 100[/tex]

[tex]t^2 = \frac{100}{16}[/tex]

[tex]t = \sqrt{\frac{100}{16}}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

The egg hits the ground after 2.5 seconds.

Answer:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

Step-by-step explanation:

Fromproblem statement:

                                    weight (lb) .          Profit $

Denim jeans                    2.1                         40

CD players                       3.2                        48

Compact Discs                0.8                        16

Objective Function z is:

z = 40*x₁  + 48*x₂ + 16*x₃             to maximize

Subject to:

Weight constrain:    5 lb

2.1*x₁  +   3.2*x₂   + 0.8*x₃

x₁≥ 0   x₂  ≥ 0        x₃ ≥ 0      All integers

Using AtomZmath on-line solver and after 2 iterations

Solution:

z (max) = 96

x₁  = 2

x₂ = 0

x₃ = 1

The maximized profit is the highest profit Juan can get by selling his items.

The maximized profit is $96

Let x represents the Denim jeans, y represents the CD players and z represent the compact discs.

So, we have the following parameters

Weights

[tex]x = 2.1[/tex]

[tex]y = 3.2[/tex]

[tex]z = 0.8[/tex]

The weight cannot exceed 5 pounds.

So, the constraint is

[tex]2.1x + 3.2y + 0.8z \le 5[/tex]

The profit is given as:

[tex]x = 40[/tex]

[tex]y = 48[/tex]

[tex]z = 16[/tex]

So, the objective function to maximize is

[tex]Max\ Z = 40x + 48y + 16z[/tex]

The integer programming model is then represented as:

[tex]Max\ Z = 40x + 48y + 16z[/tex]

Subject to:

[tex]2.1x + 3.2y + 0.8z \le 5[/tex]

[tex]x,y,z \ge 0[/tex]

Using a graphing calculator, the values that maximize the objective function are:

[tex]x = 2[/tex]

[tex]y = 0[/tex]

[tex]z = 1[/tex]

Substitute these values in the objective function

[tex]Max\ Z = 40x + 48y + 16z[/tex]

[tex]Z = 40 \times 2 + 48 \times 0 + 16 \times 1[/tex]

[tex]Z = 80 + 0 + 16[/tex]

[tex]Z = 96[/tex]

Hence, the maximized profit is $96

Read more about integer programming at:

https://brainly.com/question/13841397

Answer:

(2,4)

Step-by-step explanation:

3x-2(-2)=x

3x-4=x

-4= -2x

x=2

y=3(2)-2

y=6-2

y=4

(2,4)

Probability is simply how likely something is to happen.

Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

The best example for understanding probability is flipping a coin:

There are two possible outcomes—heads or tails.

What’s the probability of the coin landing on Heads? We can find out using the equation P(H) = ?P(H)=?P, left parenthesis, H, right parenthesis, equals, question mark.You might intuitively know that the likelihood is half/half, or 50%.  

Tips

The probability of an event can only be between 0 and 1 and can also be written as a percentage.

Answer:

Option B is correct

Step-by-step explanation:

[tex] \sf \longmapsto \: \frac{{x}^{3} - {y}^{3} }{4} \\ \sf \longmapsto \: \frac{ {4}^{3} - {2}^{3} }{4} \\ \sf \longmapsto \: \frac{64 - 8}{4} \\ \sf \longmapsto \: \frac{56}{4} \: \: \: \: \: \: \: \: \\ \sf \longmapsto \: 14[/tex]

2yrds/8= 9 inches

9 inches are needed to make 1 bag

:)

The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

2 yards of fabric for 8 bags,

y/x = 8/2 = 4

y = 4x

Hence "The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x".

For more information about ratios and proportions,

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#SPJ2

Answer:

[tex] - 17y−16z+4[/tex]

Step-by-step explanation:

[tex] - y+9z−16y−25z+4[/tex]

[tex] - 17y+9z−25z+4[/tex]

[tex] - 17y−16z+4[/tex]

9514 1404 393

Answer:

  500 cm³

Step-by-step explanation:

The diameter of the sphere is shown as 10 cm, so its radius is 5 cm. Using the given numbers in the given formula, you find the volume to be ...

  V = (4/3)(3)(5 cm)³ = 4(125 cm³) = 500 cm³

Step-by-step explanation:

[tex]midpoint = ( \frac{4.9 + - 5.2}{2} , \: \frac{ - 1.3 + - 0.6}{2} ) \\ = ( - 0.15, \: - 0.95)[/tex]

Answer:

they will each get 45 bracelets

Step-by-step explanation:

add all the bracelets then divide by the number of girls

Answer:

B= 5

Step-by-step explanation:

took the test

Answer:

The answer would be 2. Which means that your answer would be option 1 I believe.

Step-by-step explanation:

Answer:

She has to get a score of 88 on that test

Step-by-step explanation:

Take the average of the other grades, and that gives you 84.25. So she has to think about what rating she gives it is 85, and the rating is 88.

Hailey needs to score an 88 on the last exam in order to get an average of 85.

The overall average is the mean and the mean is calculated by adding up all the scores and then dividing by the number of exams.

There are 5 exams but only 4 scores. The 5th score will be denoted, "x" and the average we are looking for is 85.

The fifth score should therefore be:

Overall score = Sum of 5 exams / 5

85 = (86 + 94 + 76 + 81 + x) / 5

85 x 5 = 337 + x

425 = 337 + x

x = 425 - 337

= 88

In conclusion, Hailey needs a score of 88 on the fifth exam.

Find out more at https://brainly.com/question/17031271.

Answer: I got ~17% (It's 17% as the problem asked for the answer to be rounded)

Step-by-step explanation:

I added the 12 possible chances from the spinner with the 6 sided die chances. This gets me 18. Since the problem is asking the probability of rolling an 8 or 10 alongside a 3, I did 3/18 and got 16.66% (repeating). I'm not entirely sure if I did this right, but I hope this helped somehow. Let me know if it's not the correct answer.

Answer:

Not necessarily

Step-by-step explanation:

Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.

Answer:

91in^2

Step-by-step explanation:

SA of base =  7x7 = 49in^2

SA of each triangle = 1/2 x 7 x 3 = 10.5in^2

SA of all 4 triangles = 10.5 x 4 = 42in^2

SA Total = 49 + 42.= 91inch^2

Answer:

There is a 33.3% chance you will pull a red marble after pulling a blue one.

Step-by-step explanation:

There are a total of 10 marbles in the sack. A blue marble is removed from the bag without being replaced, leaving 9 in the sack. 3 of the marbles left are red. To find the probability of pulling a red marble, we divide the number of red marbles by the number of total marbles.

3/9 = 1/3 = 0.333 = 33.3%

Answer:

3/4 of the area of the circle is of [tex]48\pi[/tex] squared units.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which the center is [tex](x_0,y_0)[/tex] and r is the radius.

Area of a circle:

The area of a circle of radius r is given by:

[tex]A = \pi r^2[/tex]

Circle (x+2)² + (y-5)² = 64

Comparing with the standard equation, we have that:

[tex]r^2 = 64[/tex]

Area of the circle:

[tex]A = \pi r^2 = 64\pi[/tex]

What is 3/4 of its area?

[tex]\frac{3A}{4} = \frac{3*64\pi}{4} = 3*16\pi = 48\pi[/tex]

3/4 of the area of the circle is of [tex]48\pi[/tex] squared units.

Answer:

The number of red pencils is 2 times the number of yellow pencils

Answer:

C

Step-by-step explanation:

This can come from process of elimination, 1 shift is not enough. 2 shifts, 3 1/2 + 3 1/2 is 7, meaning it still isn't enough. 4 shifts 7 + 7 is 14, making it to much.

Answer:

B. No

Step-by-step explanation:

I calculated it logically

Answer:

142.5 cm2

Step-by-step explanation:

The small markings create a new height, so that would be 9.5 cm.

Multiply:

9.5x15=142.5

Therefore, the area is 142.5 cm2

Answer:

1/6075

Step-by-step explanation:

Answer:

13 feet

Step-by-step explanation:

This is a right triangle problem

Use the Pythagorean Theorem

c² = a² + b²

c² = 12² + 5²

c² = 144 + 25

c² = 169

Take the square root of both sides

c = 13

Answer:

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Step-by-step explanation:

Given - Azul spun a tri-color spinner twice.

To find - What is the probability that the spinner landed on the colors blue and green in any order?

Solution -

Given that,

A tri-color spinner spun twice

So,

The Sample Space, S = {BB, BG, BY, GB, GG, GY, YB, YG, YY}

⇒n(S) = 9

Now,

Let A be an event that the spinner landed on the colors blue and green

So,

A = {BG, GB}

⇒n(A) = 2

Now,

Probability that the spinner landed on the colors blue and green in any order = n(A) ÷ n(S)

         = 2 ÷ 9

∴ we get

The Probability that the spinner landed on the colors blue and green in any order = 2/9

Answer:

(A) Your friend will save $282.

(B) Your friend will get 23.5% off the original price of the mattress.

Step-by-step explanation:

We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.

1,200 x 15% -----> 1,200 x 0.15= 180.

15% of $1,200 is $180.

Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.

1,020 x 10% ------> 1,020 x 0.10= 102.

10% of $1,020 is $102.

Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.

We subtract to see how much money the friend saved.

$1,200 - $918= $282.

We can get the percentage by dividing $282 by $1,200.

282 / 1200= 0.235 decimal form ----> 23.5%

Answer:

sin D = 28/53

sin E =45/53

cos D =45/53

cos E =28/53