A man is 32 years old and his son is 5 years old. How many years hence will the
father's age be four times that of the son?​

Answer:

[tex]Josh =24[/tex]

[tex]Peter = 32[/tex]

Step-by-step explanation:

Given

Beginning of Week

[tex]Josh = 32[/tex]

[tex]Josh = 133\% * Peter[/tex]

First, we calculate the amount Peter has at the beginning of the week

[tex]Josh = 133\% * Peter[/tex]

Make Peter the subject

[tex]Peter = \frac{Josh}{133\%}[/tex]

[tex]Peter = \frac{32}{133\%}[/tex]

[tex]Peter = \frac{32}{1.33}[/tex]

[tex]Peter = 24[/tex]

When Josh gave out 25%.

The number (n) of computers is:

[tex]n = Josh * 25\%[/tex]

[tex]n = 32 * 25\%[/tex]

[tex]n = 8[/tex]

This means that Josh gave out 8 computers.

So, the amount they both have is:

[tex]Josh =32 - 8[/tex]

[tex]Josh =24[/tex]

[tex]Peter = 24+8[/tex]

[tex]Peter = 32[/tex]

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Answer:

  9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

  tan(α) = 500/3000 = 1/6

  α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

_____

Additional comment

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

Answer:

64

Step-by-step explanation:

because you multiply 4 by it self

Answer:

Vertex form

( 2 /3 ,  − 10 /3 )

x and y intercepts

 Y intercept ( 2 + √ 10 /3 , 0 ) , ( 2 − √ 10/ 3 , 0 )

X intercept ( 0 , − 2 )

Step-by-step explanation:

The correct statement that describes the solution set of the function f is Two real solutions. So, correct option is C.

To determine the solution set of the function f(x) = 3x² - 4x - 2, we can consider the nature of the solutions by examining the discriminant of the quadratic equation.

The discriminant, denoted as Δ, is calculated as b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

In this case, the quadratic equation is 3x² - 4x - 2 = 0. Comparing it to the general form, we have a = 3, b = -4, and c = -2.

The discriminant is given by Δ = (-4)² - 4(3)(-2) = 16 + 24 = 40.

Based on the value of the discriminant (Δ = 40), we can determine the nature of the solutions:

If Δ > 0, there are two distinct real solutions.

If Δ = 0, there is one real solution.

If Δ < 0, there are two complex solutions.

Since Δ = 40, which is greater than 0, the correct statement that describes the solution set of the function f is:

C- Two real solutions.

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Complete question is:

Which statement describes the solution set of function f? f(x) = 3x² - 4x - 2

A- One real solution and one complex solution

B- Two complex solutions

C- Two real solutions

D- One real solution

Answer:we had in dog C criminal seyyyyy and hbu have a dog in a car accident in a dog and he got to the house to go back and he said

Step-by-step explanation:

Answer:

152.99 m

Step-by-step explanation:

Using the solution diagram attached below :

We can obtain the height, h of skyscraper to the position of her eye level using trigonometry ;

Tan θ = opposite / Adjacent

Tan 24 = h / 340

h = tan 24 * 340

h = 151.37775

Hence, the height will be (h + distance from eyelevel to ground)

151.37775 + 1.61

= 152.98775

= 152.99 m

Answer:

132.6 meters tall

Step-by-step explanation:

it gave me the answer

Answer:

It's the fourth option, the bottom right one

The last one is the answer to the right. look at the base you can understand it from there, the net that shows from the question is a square base pyramid so that means you have to look for square base and that will give you the correct answer.

In the question, it's σ = 10 and not μ = 10.

Answer:

A) σ_x = 1.4142

B) σ_x = 1.4135

C) σ_x = 1.4073

D) σ_x = 1.343

Step-by-step explanation:

We are given;

n = 50

σ = 10

A) Formula for standard error of the mean for infinite size is;

σ_x = σ/√n

Thus;

σ_x = 10/√50

σ_x = 1.4142

B) When population is finite, we use correction factor and thus, we have;

σ_x = [√((N - n)/(N - 1)] × σ/√n

N = 50,000

Thus;

σ_x = [√((50000 - 50)/(50000 - 1)] × 10/√50

σ_x = 1.4135

C) N = 5000

Thus;

σ_x = [√((5000 - 50)/(5000 - 1)] × 10/√50

σ_x = 1.4073

D) N = 500

Thus;

σ_x = [√((500 - 50)/(500 - 1)] × 10/√50

σ_x = 1.343

Answer:

JIKA ANDA YANG

Step-by-step explanation:

yang bales anak yang

[tex]5 { \frac{3 \frac{ + > }{?} }{?} }^{?} [/tex]

Answer:

20

Step-by-step explanation:

He has 23 carnival ride tickets and it takes 3 tickets to ride a roller coaster

so 23 - 3 = 20

Answer:

V≈718.38

Step-by-step explanation:

The volume of this cone is 718.38 cubic centimeters.

Have a nice day!

Answer:

827

Step-by-step explanation:

this is the answer !!

Step-by-step explanation:

(a) Let's start with the first pool. It has 3650 liters of water. For every minute, 27 liters are being drained. Thus, we can write its equation as 3650 liters - 27 liters per minute = end amount of liters. If we write minutes as m, we can say 3650-27m is our expression. Similarly, for the second one, we have 4166-39m as our answer

(b) For this, we just have to make the two expressions equal, so

4166-39m = 3650-27m

The solution is:

(a)

Amount of water in the first pool (in liters) = 3650 liters - 27 liters per minute * x minutes

Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes

(b)

3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

(a) With x being the minutes after which you want to calculate the amount of water in the pool, to calculate this amount of water you must subtract the water drained from the initial amount of water that the pool contains.

Knowing that, for example, the water from the first pool drains at a rate of 27 liters per minute, then after x minutes, the total water drained will be 27 liters per minute * x minutes. Then:

Amount of water in the first pool (in liters) =  3650 liters - 27 liters per minute * x minutes

Reasoning in the same way:

Amount of water in the second pool (in liters) = 4166 liters - 39 liters per minute * x minutes

(b)  Now want to know when the two pools would have the same amount of water.  If they have the same amount of water then you can express:

Amount of water in the first pool = Amount of water in the second pool

Replacing the expressions found in (a):

3650 liters - 27 liters per minute * x minutes= 4166 liters - 39 liters per minute * x minutes

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25 million

number of bacteria doubles every minute

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

1) Find the two middle numbers: 50 and 70.

2) Take the average of both #'s to get your answer: 60.

Answer:

first option

Step-by-step explanation:

3x = 90 degree (being perpendicular)

x = 90/3

x = 30 degree

substitute the value of x

2x + 3y = 90 degree (being perpendicualr)

2*30 + 3y = 90

60 + 3y = 90

3y = 90 - 60

y = 30/3

y = 10 degree

Answer:

that's easy its letter a number 10

Answer:

43°

Step-by-step explanation:

7x+1+9x-7=90

16x-6=90

16x=96

x=6

the minor arc AD = 7x+1 =7(6)+1

= 42+1=43°

measure of AD

9514 1404 393

Answer:

  y = -(x -3)^2 +2

Step-by-step explanation:

The vertex form of the equation for a parabola is ...

  y = a(x -h)^2 +k

where the vertex is (h, k) and the value 'a' is a vertical scale factor.

The value of 'a' can be found by looking at the y-value of points ±1 either side of the vertex relative to the vertex. Here, the vertex y-value is +2 at x=3, and either side goes down 1 unit (to y=1) for 1 unit to the right or left. So, a = -1.

Using the values we've read from the graph for the vertex (h, k) = (3, 2) and the scale factor a = -1, we can write the equation as ...

  y = -(x -3)^2 +2

Answer:

[tex]\triangle FED\sim \triangle JEH[/tex]

Step-by-step explanation:

Both pairs of vertical angles formed at point E are equal. Therefore, the two triangles share two angles. If two triangles share two angles, they must also share the third angle, since the sum of the interior angles of a triangle add up to 180 degrees. Therefore, all three angles of the two triangles are equal, which is a proof of similarity. [tex]\implies \boxed{\triangle FED\sim \triangle JEH}[/tex]

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Answer:

  ΔDEF ~ ΔHEJ

Step-by-step explanation:

The vertical angles at E are congruent, and the marked angles at F and J are congruent. The two triangles are similar by the AA postulate.

The given portion of the similarity statement names the angles in the order "unspecified", "vertical", and "50°". If we name those angles in the same order in the other triangle, the similarity statement becomes ...

  ΔDEF ~ ΔHEJ

Answer:

108cm³

Step-by-step explanation:

Seeing that the base is a square, we first have to calculate the area of the base. This is equal to 9x9, in other words 81cm squared. Now, we multiply the base area to the vertical height divided by 3, which becomes 81x(4/3), which is then 108cm³.

:))))))))))

Answer:

1

Step-by-step explanation:

When we substract 1 from any number then will get just previous number.

Example :

Let any number 17

17-1 =16

16 is the just previous number of 17

Therefore, A number -1 = previous number

Answer will be 1

9514 1404 393

Answer:

 no

Step-by-step explanation:

If triangle side lengths are an arithmetic sequence (have a common difference), they must have the ratios 3:4:5 to make a right triangle. Here, the ratios of the side lengths are 4:5:6, so will not be a right triangle.

Answer: At a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.

Step-by-step explanation:

Let us assume that X is a normal rando variable with a mean value [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].

Hence, random variable Z will be introduced as follows.

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

(a) Set the value [tex]\sigma = 0.1[/tex] and the equation will be written down as follows.

[tex]0.999 = P (X \geq 12) \\= P (Z \geq \frac{12 - \mu}{0.1})\\= 1 -\phi (\frac{12 - \mu}{0.1})\\\phi (\frac{12 - \mu}{0.1}) = 0.001[/tex]

According  to the tables,

[tex]\frac{12 - \mu}{0.1} = -3\\\mu = 12.3[/tex]

Thus, we can conclude that at a value of 12.3 the mean should be set so that 99.9% of all cans exceed 12 fluid ounces.

Answer:

Assuming there are 3 possibilities for the spinner, the answer is [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

yes they are perpendicular

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

formula to find the sum of interior angle of a regular pentagon is

(n-2)*180 degree

here n means no of sides .since pentagon has 5 sides replace it by 5

=(5-2)*180

=3*180

=540 degree

Answer:

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Step-by-step explanation:

For each baby, there are only two possible outcomes. Either they weigh more than 20 pounds, or they do not. The probability of a baby weighing more than 20 pounds is independent of any other baby, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A public health organization reports that 30% of baby boys 6 - 8 months old in the United States weigh more than 20 pounds.

This means that [tex]p = 0.3[/tex]

A sample of 15 babies is studied.

This means that [tex]n = 15[/tex]

What is the probability that exactly 5 of them weigh more than 20 pounds

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{15,5}.(0.3)^{5}.(0.7)^{10} = 0.206[/tex]

0.206 = 20.6% probability that exactly 5 of them weigh more than 20 pounds.

Answer:

3/4

Step-by-step explanation:

2 - 1.25 - 0.75

0.75 = 3/4

Your answer is 3/4.

I hope this helps, have a nice day.

Answer:

Step-by-step explanation:

[tex]2 - 1.25[/tex]

[tex]0.75[/tex]