A) work out the value of g.
Give your answer in standard form correct to three significant figures.
B) work out the new value of g. Give your answer in standard form correct to 3 significant figures. (M is increased by 8% and T is increased by 5%).

Step-by-step explanation:

[tex] {x}^{2} + 12x - 3 = 16[/tex]

[tex] {x}^{2} + 12x = 19[/tex]

[tex] {x}^{2} + 12x + 36 = 19 + 36[/tex]

[tex](x + 6) {}^{2} = 55[/tex]

Answer:

45 miles in 1 hour

Step-by-step explanation:

1 hour is 60 minutes

22.5 miles / 30 minutes  * 2/2 = 45 miles / 60 minutes = 45 miles in 1 hour

Answer:

He drove 22.5 miles in 60 min. He drove 45 miles in 1 hour

Step-by-step explanation:

22.5 miles in 30 min

1 hour= 60 min

30+30=60

22.5+22.5=45 miles

Answer:

[tex]x=-16\text{ or } x=7[/tex]

Step-by-step explanation:

Since ΔABC is mapped onto ΔDEF, we can write that:

[tex]\Delta ABC\cong \Delta DE F[/tex]

By CPCTC:

[tex]\angle A\cong \angle D[/tex]

And since ΔABC is isosceles with Vertex C:

[tex]\angle A \cong \angle B[/tex]

We are given that:

[tex]m\angle D=34[/tex]

Hence:

[tex]m\angle A=34=m\angle B[/tex]

We are also given that:

[tex]m\angle C=x^2+9x[/tex]

The interior angles of a triangle must sum to 180°. Thus:

[tex]m\angle A+m\angle B+m\angle C=180[/tex]

Substitute:

[tex](34)+(34)+(x^2+9x)=180[/tex]

Simplify:

[tex]68+x^2+9x=180[/tex]

Isolate the equation:

[tex]x^2+9x-112=0[/tex]

Factor:

[tex](x+16)(x-7)=0[/tex]

Zero Product Property:

[tex]x+16=0\text{ or } x-7=0[/tex]

Solve for each case:

[tex]x=-16\text{ or } x=7[/tex]

Testing the solutions, we can see that both yields C = 112°.

Hence, our solutions are:

[tex]x=-16\text{ or } x=7[/tex]

We are given the system of equations:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x + 3 \end{cases}}[/tex]

Since both are y-isolated equation, we can combine them together.

[tex] \large{2x - 3 = - x + 3}[/tex]

Isolate and solve for x-term.

[tex] \large{2x - 3 + 3 + x = - x + 3 + x + 3} \\ \large{2x + x = 6 \longrightarrow 3x = 6} \\ \large{ \frac{3x}{3} = \frac{6}{3} \longrightarrow \boxed{ \red{x = 2}}}[/tex]

Next, we find the value of y. Simply substitute x = 2 in one of these equations. The less coefficient values, the faster and better. I will substitute x = 2 in y = -x+3. You can substitute x = 2 in y = 2x-3 if you want but the result would be the same.

[tex] \large{y = - x + 3}[/tex]

Substitute x = 2 in the equation.

[tex] \large{y = - 2 + 3} \\ \large \boxed{ \blue{y = 1}}[/tex]

Therefore - when x = 2, y = 1. We can write in coordinate point or ordered pair as (2,1) from (x,y).

Answer

Answer:

hope it's helpful for you

Answer:

B. -oo < x < 3

Step-by-step explanation:

since the vertex (3, -1), so, x should be less than 3

-oo < x < 3

Answer:

Step-by-step explanation:

The greatest common factor of 36 and 54 is 18. 18×2=36 and 18×3=54.

Answer:

X= -2. Y= 4.

Step-by-step explanation:

Answer:

[-10,-2) U (-2,2) U [2, 5) U (5, infinity)

Step-by-step explanation:

p/s: I don't have the infinity symbol on my keyboard but you know what it is. Hope this help

Answer:

B. L BAT = L CAT

Step-by-step explanation:

__________

Answer:

Ok where only looking for junior so heres the stats for that

Morning:5

Afternoon:8

Evening:16

so if we add that up

5+8+16=29

and 8 like after noon so

8/29 as a percent 27.5862%

Hope This Helps!!!

9514 1404 393

Answer:

  -20

Step-by-step explanation:

300/40 = 7.5, so the 8th term will be the last positive term. It will be 300 -7×40 = 20. The 9th term will be 20 -40 = -20.

__

The sequence starts ...

  300, 260, 220, 180, 140, 100, 60, 20, -20, ...

Answer:

3+x/10+x>8/10

Answer:

z ( max)  =  2000 $

x₁  =  500       x₂ = 0     x₃  = 0

Step-by-step explanation:

                         cutting       sewing    finishing  Profit $

Jean1   (x₁ )           8                 12              4             4

Jean2  (x₂ )          12                18              8              4.5

Jean3  (x₃ )          18                24            12              6

Time available  5200          6000        2200

b) Formulation of a linear programming problem:

Objective Function  z

z  =  4*x₁   +  4.5*x₂  + 6*x₃        to maximize

Constrains:

Constrain 1

Available cutting time  5200 minutes

8*x₁  +  12*x₂  +  18*x₃   ≤  5200

Constrain 2:

Available sewing  time  6000 minutes

12*x₁  +   18*x₂   +  24*x₃    ≤  6000

Constrain 3:

Available finishing time  2200 minutes

4*x₁   +   8*x₂   +  12*x₃    ≤ 2200

General constraints:

x₁    ≥ 0            x₂   ≥ 0             x₃  ≥  0     all integers

After 6 iterations the optimal solution is:

z ( max)  =  2000 $

x₁  =  500       x₂ = 0     x₃  = 0

We can see in the model that times required to make jean 2  and jean 3

are much bigger than jean 1 and but the price of jean 2 is only 0.5 $ above the price of jean 1 and jean 3 is only 2 $.

Answer:

Step-by-step explanation:

A and B are correct!

For part C, just multiply the dimensions given to you by four.

For part D, the answer would be 4 x 4 x 4 which is 264

Hope this helps. Please mark brainliest

Answer: 20

let the number be x

1/4 x = 5

x=5*4

x=20

Answer:

x=20

Step-by-step explanation:

[tex]\frac{1}{4}x=5\\x=20[/tex]

divide [tex]\frac{1}{4}[/tex] on both sides, which gives you 20.

Answer:

[tex]P(x < -778) = 0[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 48673[/tex]

[tex]\sigma^2 = 11282880[/tex]

[tex]n = 143[/tex]

Required

[tex]P(x <- 778)[/tex]

First, we calculate the z score

[tex]z = \frac{x}{\sqrt{\sigma^2}/n}[/tex]

So, we have:

[tex]z = \frac{-778}{\sqrt{11282880}/143}[/tex]

[tex]z = \frac{-778}{3359.0/143}[/tex]

[tex]z = \frac{-778}{23.49}[/tex]

[tex]z = -33.12[/tex]

So:

[tex]P(x < -778) = P(z < -33.12)[/tex]

From z score probability, we have:

[tex]P(x < -778) = 0[/tex]

Pat bought 5 pounds of apples.

(1) 1 pound of pears cost $0.5 more that 1 pound of apples.

If 1 pound of pears cost $1 and 1 pound of apples cost $0.5, then the cost of 5 pounds of apples is 5*0.5=$2.5. For $2.5 we can buy 2.5/1=2.5 pounds of pears.

If 1 pound of pears cost $1.5 and 1 pound of apples cost $1, then the cost of 5 pounds of apples is 5*1=$5. For $5 we can buy 5/1.5=10/3 pounds of pears.

(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples.

The cost of 5 pounds of apples is $5a (where a is the cost of 1 pound of apples). For $5a we can buy 5a/(1.5a)=5/1.5 pounds of pears. Sufficient.

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Given question is incomplete , the complete question is given below ,

Pat bought 5 pounds of apples. How many pounds of pears could he have bought for same amount of money?

(1) 1 pound of pears cost $0.5 more that 1 pound of apples

(2) 1 pound of pears cost 1.5 times as much as 1 pound of apples

did u add the attachment of the the statements? cuz i dont see it.

Answer:

Step-by-step explanation:

If the odds of rolling a 1 is .85 the odds of rolling not a one is

1-.85= .15

The Complete probability tree diagram is

First roll have (0.85, 0.15).

Second Roll have (0.85, 0.85, 0.15, 0.15).

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

The probability of rolling a 1 on a 6-sided biased dice is 0.85.

Now, the probability not rolling 1

= 1- 0.85

= 0.15

So, First roll have (0.85, 0.15).

and, the Second Roll have (0.85, 0.85, 0.15, 0.15).

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Answer:

89.263 m      I couldn't remember the easist way of doing this type of summation problem.  I used brute force. a spread sheet would have been quicker

Step-by-step explanation:  6  17   22   16

Event   Formula         Calculation      Running Summation

1       20                              20                  20

2      20(4/5)                       16                   36

3      20(4/5)(4/5)               12.8                48.8

4      20(4/5)(4/5)(4/5)       10.24             59.04

5      20(4/5)^4                 8.192              67.232

6      20(4/5)^5                 6.554             73.786

7      20(4/5)^6                 5.453             79.028

8      20(4/5)^7                 4.194              82.223

9      20(4/5)^8                3.355              86.578

10      20(4/5)^9               2.684             89.263

add the results  from each swing

I got 89.263 meters

Answer: 10

Step-by-step explanation: 15 - 5 = 10

Answer:

l

Step-by-step explanation:

Answer:

The answer is

[tex]2 {x}^{2} + 3x - 1 = 0[/tex]

Why? Below I explain

Step-by-step explanation:

That formula has three variables a, b and c.

So, a = 2, b = 3 and c = -1

Because the formula is written like

[tex] \frac{ - b + - \sqrt{ {b}^{2} - 4 \times a \times c} }{2 \times a} [/tex]

Answer:

8

Step-by-step explanation:

The equation will become 6/3+2(3)

-->6/3=2

-->Because of Order of Operation we will multiply the 2 and 3 before adding so 2(3) = 6

--> 6+2=8

Answer:

x=6

Step-by-step explanation:

when its squared you multiply by 2

Answer:

Step-by-step explanation:

equation

area(base1 + base2)

Answer:

$230,000

Step-by-step explanation:

Contribution margin = Sales - Variable costs

=($250,000 - $137,500)

= $112,500

Contribution margin ratio = Contribution margin ÷ Sales

= ($112,500 ÷ $250,000)

= 0.45

Basically

Break-even sales = Fixed expenses ÷ Contribution margin ratio

=($103,500 ÷ 0.45)

= $230,000

The required sales in dollars to break even is $275,000.

Given that, total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000.

Total revenue is the total amount of money a company brings in from selling its goods and services. It determines how well a company is bringing in money from its core operations based on demand and price.

The contribution margin ratio = Contribution margin/Sales revenue

= (300,000 - 180,000 = 120,000)/300,000

= 40%

Break-even point in dollars = Fixed cost/Contribution margin ratio

= 110,000/0.40

= $275,000

Therefore, the required sales in dollars to break even is $275,000.

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Answer:all of them

Step-by-step explanation: