4. Write the ratio for cos M.

cos M = 24/25
cos M = 12/25
cos M = 24/7
cos M = 25/24

Answer:

[tex]35 + 9m[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex](30 + 5) + ( - 7m + 16m)[/tex]

2) Simplify.

[tex]35 + 9m[/tex]

Therefor, the answer is 35 + 9m.

Answer:

40.8 minutes

Step-by-step explanation:

Element X decays radioactively with a half life of 8 minutes. If there are 480 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 14 grams?

The formula to find how long it would take which is the time elapsed is given as:

t = t½ × In(Nt/No)/-In2

t = ?

t½ = 8 minutes

Nt = Amount after the time of decay = 14 grams

No = Original Amount of substances = 480 grams

t = 8 × In(14/480)/-In2

t = 40.796285388407 minutes

Approximately to the nearest tenth = 40.8 minutes

Therefore, it would take the element X, 40.8 minutes to decay to 14 grams

Answer:

20361.18283

Step-by-step explanation:

p(1+r/100)n

12500(1+5/100)power 10

i hope this answer helps a little bit.

Answer: B. $3,119.52

Tommy will need to pay 4.75%. FICA is 7.65%. Tommy's net pay of $3,119.52.

At his after-school job, Tommy grossed $4,020 for the year. Based on his income level, the federal tax rate he'll need to pay is 10%. For his state taxes.

The federal income tax is a tax on annual earnings for individuals, businesses, and other legal entities. All wages, salaries, cash gifts from employers, business income, tips, gambling income, bonuses, and unemployment benefits are subject to a federal income tax.

Tommy will need to pay 4.75%. FICA is 7.65%.

Tommy's net pay of $3,119.52.

To learn more about federal tax visit:

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Answer:

4.5 hours

Step-by-step explanation:

to find the average/middle (how long it would take them when working together) you add both numbers and divide by two

4+5=9

9÷2= 4.5

hope this helps chu <3

The time take by them to the job together is 5 hours.

Time Taken = 1 / Rate of Work If a piece of work is done in x number of days, then the work done in one day = 1/x Total Wok Done = Number of Days × Efficiency.

Efficiency and Time are inversely proportional to each other.

Given that, Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.

We need to find the time taken by them if they work together,

So, the total hours taken by Sheila = 5 hours

So, she will do the work in 1 hour = 1/5 parts

Similarly, for David also, he will do in 1 hour = 1/4

Now, when they are working together in hour = 1/4 + 1/5

= 4+5 / 45 = 9/45 = 1/5

Since, there work in 1 hour = 1/5 units

That mean, they will do the whole work in 5 hours.

Hence, the time take by them to the job together is 5 hours.

Learn more about time taken, click;

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Answer:

Let 3x and 2x are divided into 250.

Step-by-step explanation:

3x + 2x = 250

⇒ 5x = 250

⇒ x =  = 50

∴ 3x = 3 × 50 = 150 and

2x = 2 × 50 = 100

Thus, the required numbers are 150 and 100.

Answer:113

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

x+x-1-1-1-1-1-1-1 = -x-x-x+1+1+1+1+1+1+1+1+1

2x-7 = -3x +9

5x - 7 = 9

5x = 16

x = 16/5

x= 3⅕

x= 3.2

Using the z-distribution, we have that:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Item a:

We are interested in the confidence interval for the true proportion of kids who want to be a doctor, hence the parameter of interest is the proportion of kids who want to be a doctor.

Item b:

Fifty-five of the 1000 kids want to be a doctor, hence, since there are more than 10 successes and more than 10 failures in the sample, the conditions are met.

Item c:

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.0339[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 2.327\sqrt{\frac{0.05(0.95)}{1000}} = 0.066[/tex]

The interval is (0.0339, 0.066).

Item d:

We are 98% sure that the true proportion of kids who want to be a doctor is between 0.0339 and 0.066.

You can learn more about the use of the z-distribution to build a confidence interval at https://brainly.com/question/25649070

Step-by-step explanation:

60x60+32x32=4624

✓4624

68

Answer:

8

Step-by-step explanation:

3/5 ×2=8/10

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

1

Step-by-step explanation:

i am very beautiful yes i know it

Answer:

5/6

Step-by-step explanation:

(-6 - 4) / (3 * -4)  [substitute a and b]

-10 / -12  [multiply the values in parenthesis]

5 / 6  [simplify by dividing by the common factor 2]

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]

Answer:

4p,q+r

4p(q+r)

4pq+4pr

Answer:

x= 50

Step-by-step explanation:

2x + 25 = 180 - 55

Answer:9/40

Step-by-step explanation:

there is no use of hupotenuse as tanA = p/b

Me das mas información porfavor?

Answer:

100

Step-by-step explanation:

y = % · x

y = 40% · 250

y = 0.40 · 250

y = 100

Answer:

h(-1)=-3 h(2)=12 average age of change =12-(-3)2

Step-by-step explanation:

Answer:

8x - 5  ≤ 25

Step-by-step explanation:

Given that the unknown number is x

product of 8 and a number is expressed as 8x

five substracted from the product of 8 and a number is expressed as 8x - 5

Since this expression is at most 25, the inequality sign that you are to use will be ≤ (less than or equal to) since it cannot be greater than 25. Hence the required inequality expression is 8x - 5  ≤ 25

Answer:  79 and 14

X would be -3 because (2 x -3 + 85) is 79 and doing it for (5x + 29) would get 14.

Answer:

81.51

Step-by-step explanation:

So first you will want to take the percentage of the $78.00.

What we do is multiply 78.00 by 0.045

which is 4.5%

You then get $3.51

Add that to the $78.00:

78.00 + 3.51

= $81.51

Answer:

first we fisson in three regtangles. and we gain 6 cm to 3cm regtangles. they have the same width and length.

and we find their area. we multiplay 6cm and 3cm. the result is 18 cm square. and they have the same area.

lastly we find the value of the picture by find the sum of three regtangels.18cm square+18cm square+18cm square=

54cm square. fainally the answer is 54cm square.

Answer:

423.2 is the length of the scale copy

Step-by-step explanation:

18.4 * 23 = 423.2 hope this helps!

Answer:

18 × 0.25 = 4.5

Step-by-step explanation:

25% is multiplying by 0.25

Answer:

4.5 inches long

Step-by-step explanation:

25/100*18

18/4

4.5 inches long

Answer:

(0, -3)

Step-by-step explanation:

because at that point is where the line crosses the y axis.

Answer:

60,700,000

Step-by-step explanation:

⇒10⁷ = 10000000

∴6.07 x10000000

=60,700,000

Answer:

one jar of pickles is $1.50, 49-47.50 =1.50

Step-by-step explanation: