When the daughter was born, the parents planted tree A. When the son was born, they planted the tree B. tree A and tree B combined have been growing for 18 years. What age will the daughter and the son be after 1 year?​

Answer:

97,655

Step-by-step explanation:

5(5)^(n-1) = 78,125

5^n = 78,125

n = 7

=> S7 = 5(5^7 -1) / (5-1)

= 5/4 (78, 125 -1)

= 5/4 (78 124) = 97,655

Answer:

y = 5/4x - 14

Step-by-step explanation:

Given:

Passes through (8, -4)

Slope (m) = 5/4

Slope-intercept equation:

y - y1 = m(x - x1)

y - (-4) = 5/4(x - 8)

y + 4 = 5/4x - 10

y = 5/4x - 14

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

So, 1/6 * 1/6 = 1/36

Hope this is helpful

Answer:

Step-by-step explanation:

six sided die gives you 6 possibilities

probability of rolling a 2 is 1/6

probability of rolling a 5 on the second roll is 1/6

Answer:

the possible outcome sequences when a die is rolled 4 times is 1296

Step-by-step explanation:

 Given the data in the question;

a die is rolled 4 times

and outcomes are { 3, 4, 3, 1 }

we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }

Now when we roll a die lets say, r times

then the total number of possible outcomes will be;

N = [tex]n^r[/tex]

given that; r = 4

Hence if we roll a die 4 times;

Total number of possible outcome N = 6⁴

N = 1296

Therefore, the possible outcome sequences when a die is rolled 4 times is 1296

The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1,6,8,8,8

Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.

There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.

If the outlier is removed mean, range, and median will changes.

Hence options A, B and C are correct.

To learn more about mean refer:

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Answer:

62.83

Step-by-step explanation:

Answer:

Step-by-step explanation:

Right side =

sin A / cos A + sinB/ cosB         (sinAcosB + sinB cos A ) *   cosA cosB

-------------------------------------    =          cosA cosB                (sinAcosB - snBcosA )        sinA/cosA -  sinB/cos B

= Left side.

The trigonometry identity [tex]\frac{sin(A+B)}{sin(A-B)}[/tex] is equals to [tex]\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex].

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

According to the given question.

We have a trigonometric identity.

[tex]\frac{sin(A+B)}{sin(A-B)} =\frac{tan(A)+tan(B)}{tan(A)-tan(B)}[/tex]

To prove the above  trigonometric identity we will show L.H.S = R.H.S

[tex]L.H.S=\frac{sin(A+B)}{sin(A-B)}[/tex]

⇒ [tex]L.H.S = \frac{cosBsinA-sinBcosA}{sinAcosB-cosAsinB}[/tex]

⇒ [tex]L.H.S = \frac{\frac{sinAcosB}{cosAcosB} + \frac{sinBsinA}{cosBcosA} }{\frac{sinAcosB}{cosAcosB}-\frac{cosAsinB}{cosAcosB} }[/tex]     (dividing the numerator and denominator by [tex]cosAcosB[/tex] )

⇒ [tex]L.H.S = \frac{\frac{sinA}{cosA} +\frac{sinB}{cosB} }{\frac{sinA}{cosA}-\frac{sinB}{cosB} }[/tex]

⇒ [tex]L.H.S = \frac{tanA+tanB}{tanA- tanB}= R.H.S[/tex]

Hence, L.H.S = R.H.S

Find out more information about trigonometric identities here:

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answer

three

explain hope this helps

Answer:

C. 8/25 - 19/25i

Step-by-step explanation:

Given that:

[tex]\dfrac{4-i}{3+4i}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]

[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]

[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]

Answer:

[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]

Step-by-step explanation:

Given

[tex]180\ lb 12\ oz - 79.3kg[/tex]

Required

Solve

First, convert 180lb to kg

[tex]1lb \to 0.454kg[/tex]

[tex]180lb \to 180 *0.454kg[/tex]

[tex]180lb \to 81.7kg[/tex] -- to 1dp

Next, convert 12oz to kg

[tex]1oz \to 0.03kg[/tex]

[tex]12oz \to 12 * 0.03kg[/tex]

[tex]12oz \to 0.4kg[/tex] --- to 1 dp

So, the expression becomes:

[tex]180\ lb 12\ oz - 79.3kg[/tex]

[tex]81.7kg + 0.4kg - 79.3kg[/tex]

[tex]= 2.8kg[/tex]

Hence:

[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]

Answer:

1/2

Step-by-step explanation:

in one try, Micah will either pick 1 good apple or 1 bad apple, so the probability would be 1/2.

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

b

Step-by-step explanation:

Answer:

B is the correct answer

Hope this helps!! :D

Answer:

This ball holds 904.78 cubic inches of air.

Step-by-step explanation:

Volume of the ball:

A ball has a spherical format. The volume of a sphere is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius, which is half the diameter.

Val measures the diameter of a ball as 12 inches.

This means that [tex]d = \frac{12}{2} = 6[/tex]

How many cubic inches of air does this ball hold?

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]V = \frac{4\pi*6^3}{3}[/tex]

[tex]V = 904.78[/tex]

This ball holds 904.78 cubic inches of air.

Answer:

Option C

Step-by-step explanation:

I just graphed on my TI-84

Hope this helps!

Answer:

a) 120 possible experimental runs

b) 8 possible experimental runs

c) 0

Step-by-step explanation:

a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.

N = T × P × C

N = 6 × 5 × 4 = 120

b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.

N = T × P × C

N = 1 × 2 × 4 = 8

c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.

Answer:

D. -35,-23,-12,58

Step-by-step explanation:

Image a line that goes to the negative, as well as the positives, -35 would be lower on that line

-35          -23       -12        0       12      23          35           58

--------------------------------------------------------------------------------------

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

[tex]r=\dfrac{a_2}{a_1}[/tex]

[tex]r=\dfrac{560}{1120}[/tex]

[tex]r=0.5[/tex]

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where a is the first term and r is the common ratio.

Putting [tex]a=1120, r=0.5[/tex], we get

[tex]a_n=1120(0.5)^{n-1}[/tex]

Therefore, the required formula for the given sequence is [tex]a_n=1120(0.5)^{n-1}[/tex].

We need to find the 10th term of the given sequence. So, substituting [tex]n=10[/tex] in the above formula.

[tex]a_{10}=1120(0.5)^{10-1}[/tex]

[tex]a_{10}=1120(0.5)^{9}[/tex]

[tex]a_{10}=1120(0.001953125)[/tex]

[tex]a_{10}=2.1875[/tex]

Therefore, the 10th term of the given sequence is 2.1875.

Answer:

C) 86

Step-by-step explanation:

To find the mean you first add all of the numbers together. So you would add 75+90+84+95=344. Then you would divide the sum by the amount if numbers there are. So it would be 344÷4 =86

Hope this helped :)

Answer:

x = 75, 90 , 84, 95

[tex]Mean = \frac{ \sum x}{n}= \frac{75+90+84+95}{4} = 86[/tex]

Answer:

The zeroes are at (-2, 0), (0, 0) and (2, 0).

The (0, 0) is a double root as the graph just touches the x axis at (0, 0).

The zero at (0, 0) is sometimes referred as  x = 0 (multiplicity 2).

I think the duplicate roots are counted as 2 distinct roots but im not sure.

So the answer is either a or c.

Step-by-step explanation:

The zeroes are the points where the graph cuts the x axis.

Answer:

a

Step-by-step explanation:

Answer:

A. 2468 sq. ft.

Step-by-step explanation:

I calculated it logically

Answer:

The hypotenuse measures 8.48 meters.

Step-by-step explanation:

Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:

6 ^ 2 + 6 ^ 2 = X ^ 2

36 + 36 = X ^ 2

√ 72 = X

8.48 = X

Therefore, the hypotenuse measures 8.48 meters.

Answer:

870,406

Step-by-step explanation:

870,046

Hope this helps

Answer:

85-5=80 week 1

75= week 2

70=week 3

65=week 4

60=week 5

and so on.

Then Ashley

35+7=42 week 1

49=week 2

56=week 3

63= week 4

70=week 5

Step-by-step explanation:

Answer:

160π cubic feet

Step-by-step explanation:

V= πr²h

V= π x 4²x 10

V = 160π cubic feet