Find the exact value of tan A in simplest radical form

Answer:

OK!!.

N=N(½)ⁿ

n= Time/half life

N=Remaining Mass

N°=Initial Mass or Mass before decay.

t= time taken to decay(Its in Months in this case)

t½= Half Life of the Material. This is the time taken to decay to half its initial value.

N°= 2000mg

a).Equation that Models this is

since n=t/t½

N=N°(½)ⁿ =

N=N°(½)^t/t¹'². This should be your answer.

b). We're asked to find the remaining mass of substance in 4years.

t= 4years

Our Half life is in Months... So we gotta convert or time t from year to Months too.

4yrs === 4x12 = 48Months.

N° was given as 2000mg

N=N°(½)^t/t½

N= 2000(½)^48/3

N=2000(½)^16

Using your calc to evaluate (½)^16... Then multiply by 2000

N=0.0305mg will remain after 4years.

Or After 16Half Lives since 1 half life is 3months

c). We're looking for t this time

N=N°(½)^t/t½

Since it asked for 750mg to remain ... 750 is now our N --- Remaining Mass

750 = 2000(½)t/3

To Isolate "t" and make it the subject

750/2000 = (½)^t/3

0.375 = (½)^t/3

Taking ln(natural log) of both sides

Ln(0.375) = Ln(0.5)^t/3

From the rule of logarithm...

You can bring the power (I.e t/3) to the front

You'll have

Ln(0.375) = t/3Ln(0.5)

Dividing both sides by Ln(0.5) to isolate t

Ln(0.375)/Ln(0.5) = t/3

t/3 = 1.415

t= 3x1.415

t=4.25months.

Have a great day.

Hope this helps... I'm open to questions if you have any too.

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

Answer:

[tex]\text{1) }\frac{1}{2}(8)(5)[/tex]

Step-by-step explanation:

The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex]. Since we're given a base of 5 and a height of 8, the area is given by [tex]\boxed{\text{1) }\frac{1}{2}(8)(5)}[/tex].

Given:

The coordinates of point P are (-5,4).

Point P is reflected over the x-axis.

To find:

The new coordinates after the reflection.

Solution:

If a point is reflected across the x-axis, then the rule of reflection is:

[tex](x,y)\to (x,-y)[/tex]

Using this rule, we get

[tex]P(-5,4)\to P'(-5,-4)[/tex]

The new coordinates of point P after the reflection over the x-axis are (-5,-4).

Therefore, the correct option is B.

=========================================================

Explanation:

The horizontal pieces are the parallel bases

b1 = 17 and b2 = 9

The height is always perpendicular to the base, so h = 8

The 4 ft portion won't be used in the next section, so we can ignore it.

---------

Plug the values mentioned into the trapezoid area formula below. Simplify.

A = h*(b1+b2)/2

A = 8*(17+9)/2

A = 8*26/2

A = 8*13

A = 104 square feet

We can abbreviate "square feet" into "sq ft" or "ft^2" without quotes.

----------

As another approach, you can split the trapezoid into 2 triangles and a rectangle in between. Then find the area of each small piece, and add up those smaller areas to get the final answer. You should get 104. If you go with this approach, then you will use the 4 ft portion to help find the horizontal length of the triangle on the right.

Answer:

-5 is the answer

Step-by-step explanation:

Answer:

-5 corresponds to the coldest temperature here.

Step-by-step explanation:

-5 is to the left of -1 on a number line and is therefore smaller than -1.

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

Using the percentage concept, the amount that is closest to the percentage of students in the population who are licensed drivers is given by:

B. 24%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

Higher sample sizes lead to more accurate estimates, hence the percentage is given by:

[tex]P = \frac{24}{100} \times 100\% = 24\%[/tex]

Which means that option B is correct.

More can be learned about percentages at https://brainly.com/question/10491646

#SPJ1

[tex]\longrightarrow{\green{ \: n = 30 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{n}{3} - 5 = 5[/tex]

➼ [tex] \: \frac{n}{3} = 5 + 5[/tex]

➼ [tex] \: \frac{n}{3} = 10[/tex]

➼ [tex] \: n = 10 \times 3[/tex]

➼ [tex] \: n = 30[/tex]

Therefore, the value of n is 30.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex] \frac{30}{3} - 5 = 5[/tex]

✒ [tex] \: 10 - 5 = 5[/tex]

✒ [tex] \: 5 = 5[/tex]

✒ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

B or graph 2

Step-by-step explanation:

when y = 0 then x = 6

when x = 0 then y = -3

find those points

Answer: b

question

hich is the graph of the linear equation x – 2y = 6?

On a coordinate plane, a line goes through points (negative 6, 0) and (0, 3).

On a coordinate plane, a line goes through points (0, negative 3) and (6, 0).

On a coordinate plane, a line goes through points (negative 6, 0) and (0, negative 3).

On a coordinate plane, a line goes through points (0, 3) and (6, 0).

Answer:

Incomplete question, but I gave you a guide on the uniform distribution, and thus you just have to replace the values in these equations to find the desired probabilities.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{a - x}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Between a and b minutes.

Here you get a and b for the uniform distribution.

Find the probability that a randomly selected passenger has a waiting time minutes.

Here you will have the value of x.

Answer:

The relationship between the above two triangles is SAS and they are congruent

Answer:

well,

it's more than (20ft)²

bc 20*20 =400

21² = 21 * 21 = 441

getting closer...

22² = 22 * 22 = 484

[tex] \sqrt{484} = {22}^{2} [/tex]

yet, we arrived, short trip tough, pls leave the bus in an orderly manner

Answer:

20°C

Step-by-step explanation:

64-32 =32

32 ×5 =160

160/9 = 17.8

17.8 rounded to the nearest tenth is 20°C.

Translate: y - 46 > -184

Possible answer: y > - 138

Solution:

y - 46 > -184

= y > - 184 + 46

= y > - 138

#CarryOnLearning

The Possible answer of the given statement could be as y > - 138.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given information;  46 less than y is at least -184

To Translate: y - 46 > -184

WE can solve it as;

y - 46 > -184

y > - 184 + 46

y > - 138

Therefore, The Possible answer of the given statement could be as y > - 138.

Learn more about inequalities here:

https://brainly.com/question/27425770

#SPJ5

Answer:

The amount of money one may spend in a month may be greater than that of ones monthly payment especially when the payment is at a lower rate.

9514 1404 393

Answer:

  (b)  Angle V is the smallest angle

Step-by-step explanation:

The smallest angle is opposite the shortest side. Its vertex name will be the that of the vertex not involved in naming the shortest side.

The shortest side name is TU. The smallest angle is not T or U; it is V.

  Angle V is the smallest angle

Answer:

(b)  Angle V is the smallest angle

Step-by-step explanation:

Answer:

a)

b. Joel

c. Juan

d. Linda

b)

b. Joel

c)

a. Jan

f.Susan

d)

a. Jan: 140

b. Joel: 156

c. Juan: 196

d. Linda: 191

e. Robert: 183

f. Susan: 110

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean, positive z-scores are above the mean, negative are below the mean and 0 is the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Question a:

Robert, Juan and Linda had positive z-scores, so they scored above the mean, and the correct options are c,d,e.

(b) Which of these students scored on the mean?

Joel, which had a z-score of 0, so the correct option is b.

(c) Which of these students scored below the mean?

Jan and Susan had negative z-scores, so them, options a and f.

Question d:

We have that [tex]\mu = 156, \sigma = 24[/tex], so we have to find X for each student.

Jan:

Z = -0.65. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.65 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = -0.65*24[/tex]

[tex]X = 140[/tex]

b. Joel

Z = 0, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 0*24[/tex]

[tex]X = 156[/tex]

c. Juan

Z = 1.66, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.66 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.66*24[/tex]

[tex]X = 196[/tex]

d. Linda

Z = 1.46. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.46 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.46*24[/tex]

[tex]X = 191[/tex]

e. Robert

Z = 1.11. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.11 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = 1.11*24[/tex]

[tex]X = 183[/tex]

f. Susan

Z = -1.9. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.9 = \frac{X - 156}{24}[/tex]

[tex]X - 156 = -1.9*24[/tex]

[tex]X = 110[/tex]

Answer:

25

Step-by-step explanation:

Since the x values are the same

the distaance is simply the difference in the y values

23 - (-2) = 25

Answer:

Step-by-step explanation:

a)

The mean for ground floor is 20.67

The mean for balcony is 15.8

b)

the difference between the means is ground floor - balcony

20.67 - 15.8 = 4.87

You can talk about it yourself for part c

Answer:

Step-by-step explanation:

For independent events,

P(AB)=P(A)orP(B)

= P(A)uP(B)

=P(A)×P(B)

= 0.55×0.72

P(AB)=0.396

Answer: 135 minutes or 2 hours and 15 minutes  

Step-by-step explanation:

4/18 = 30/ x

Solve for duh 'x'

Answer:

m<F = 95°

Step-by-step explanation:

We'll begin by calculating the value of x. This can be obtained as follow:

m<C = 50

m<A = (10x – 5)

m<B = m<G = (2x + 15)

m<C + m<A + m<B = 180 (Sum of angles in a triangle)

50 + (10x – 5) + (2x + 15) = 180

50 + 10x – 5 + 2x + 15 = 180

50 – 5 + 15 + 10x + 2x = 180

60 + 12x = 180

Collect like terms

12x = 180 – 60

12x = 120

Divide both side by 12

x = 120 / 12

x = 10

Finally, we shall determine the value of m<F. This can be obtained as follow:

m<F = m<A

But

m<A = 10x – 5

x = 10

Therefore,

m<F = 10x – 5

m<F = 10(10) – 5

m<F = 100 – 5

m<F = 95°

x^2 + 13x + 22 = 0

( x + 11 )( x + 2 ) = 0

x = - 11 Or x = - 2

Answer:

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{56x^7y^5}[/tex]

Required

Solve

Expand

[tex]\sqrt[3]{8*7*x^6*x*y^3*y^2}[/tex]

Rewrite as:

[tex]\sqrt[3]{8*x^6*y^3*7*x*y^2}[/tex]

Split

[tex]\sqrt[3]{8*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{2^3*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]

Apply law of indices

[tex]2^{(3/3)}*x^{(6/3)}*y^{(3/3)} *\sqrt[3]{7*x*y^2}[/tex]

[tex]2*x^2*y *\sqrt[3]{7*x*y^2}[/tex]

[tex]2x^2y *\sqrt[3]{7xy^2}[/tex]

[tex]2x^2y\sqrt[3]{7xy^2}[/tex]

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]

2. Now lets plug the value in

[tex]\frac{6 \\boys}{x girls}[/tex]

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

5. 18 girls

Answer:

18 <3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

If you see closely, Angle 3 is slightly smaller than Angle 6''

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Larger angle= 73, smaller angle= 17

Step-by-step explanation:

I wrote an equation, and x is the measure of one of the angles

90=2x-56

90+56=2x-56+56

146=2x

73=x

One of the angles is 73, so subtract 53 from 73 to find the second angle. 73+56=17

You can make sure it adds up to a complementary angle by seeing if 17+73=90

Answer:

ED = 31

DT = 20

Step-by-step explanation:

m< ESD = 90-52=38°

the distance ED = 40×tan 38° = 31.25 = 31

ET = 40 x tan (90-38) = 40×tan 52°

= 51.19= 51

the distance DT = 51-31 = 20