Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age,

if his father is 44 years old. ( 13 years)
please help​

Answer:

Taylor added. The correct answer is 3.3*10^8

Step-by-step explanation:

Taylor haven't consider the exponents properties and multiplication was also incorrect.

Exponent refers to how many times a number multiplied by itself.

Given:

8.25 x \(10^{4}\) and 0.4 x \(10^{4}\)

Now, multiplying by considering exponents as

a^m * a^n = a^( m+ n)

So,

=8.25 * 0.4 * \((10) ^{4+4}\)

= 3.3 * \(10^8\)

Hence, Taylor haven't consider the exponents properties and multiplication was also incorrect.

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Answer:

1 is the correct answer 3^10 +3^10

Answer:

4

is the correct answer because 3^5*2^2

3*3^5*2

6^10

Check the picture below.

Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Explanation:

We'll let you draw the diagram. Here are some possible equations. We have listed the shortest sequence first.

(a) 24 = (10 + 10 + 4) = (8 + 8 + 8) = (10 + 8 + 4 + 2)

(b) 17 = (10 + 3 + 2 + 2) = (10 + 3 + 3 + 3 - 2) = (3 + 3 + 3 + 3 + 3 + 2)

(c) 15 = (11 + 4) = (6 + 6 + 3) = (4 + 4 + 4 + 3)

(d) 27 = (19 + 8) = (19 + 12 - 4) = (19 + 12 + 4 - 8)

Answer:

B and B

Step-by-step explanation:

For the first problem, the range is simply the data set rearranged from smallest to largest.

For the second problem, you just have to cross multiply each variable in order to expand the equation and get an answer.

The answer for that one is \(12x^{3} -42x^{2} +8x+55\)

Answer: 1/18 I hope this helps :D

Answer: 36

Step-by-step explanation:

Answer:

No, Yes, No, Yes

Step-by-step explanation:

1. 24

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

The speed of the boat was 36 miles per hour when going downstream and 30 miles per hour.The speed of the current was 6 miles per hour.

The speed of the boat can be calculated using the equation Speed = Distance/Time. The boat traveled 180 miles downstream in 5 hours, so the speed of the boat downstream was 180/5 = 36 miles per hour. The speed of the boat upstream was 180/6 = 30 miles per hour.The speed of the current can be calculated by subtracting the speed of the boat upstream from the speed of the boat downstream. The speed of the current is 36 - 30 = 6 miles per hour. The speed of the current is the same in both directions, so the boat was traveling 6 miles per hour faster when going downstream than when going upstream .In conclusion, the speed of the boat was 36 miles per hour when going downstream and 30 miles per hour when going upstream. The speed of the current was 6 miles per hour.

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Answer:

If the code cannot begin with 0, we have 9 options for the first digit (1-9), 9 options for the second digit (because we previously used one digit), 8 options for the third digit, and 7 options for the fourth digit. And the list goes on

The total number of codes is:

9 x 9 x 8 x 7 = 4,536

As a result, there are 4,536 possible codes that may be generated with numbers 0-9 if each digit can only be used once and the code cannot begin with 0.

Answer:

(-2, 8)

Step-by-step explanation:

When rotating an image 90 degrees, x and y switch places and te new x coordinate becomes the opposite sign.

(x,y) -> (-y, x)

so

(8,2) -> (-2,8)

The slope of the line passing through (-1,1) and (2,-5) is -2.

The formula to find the slope between 2 coordinates of a line is given by;

m = (y₂ - y₁)/(x₂ - x₁)

To find the slope of the line passing through (-1,1) and (2,-5), we can use the formula:

m = (y2 - y1)/(x2 - x1)

where m is the slope of the line, (x1, y1) and (x2, y2) are the coordinates of the two points.

Substituting the given coordinates, we get:

m = (-5 - 1)/(2 - (-1))

m = (-6)/(3)

m = -2

Therefore, the slope of the line passing through (-1,1) and (2,-5) is -2.

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Answer:

7000

Step-by-step explanation:

70×100=7000

there is 100g in 1kg

Answer:

70,000 grams

Step-by-step explanation:

1. convert kilograms to grams

1000 grams = 1 kilogram

2. use dimensional analysis

\(\frac{70 kilograms }{1 gram}\) * \(\frac{1000 grams}{1 kilogram}\)

3. multiple straight across

70 * 1000 = 70,000 grams

If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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Answer:

10 and 6

Step-by-step explanation:

Variable equation:

x+y=16

x-y=4

Substitution: eq1-eq2.

2y=12

y=6

x=10.

Hope this helps :D

Step-by-step explanation:

Let the numbers are x and y

\(\longrightarrow\sf x+y=16 \)

\(\longrightarrow\sf x-y=4\)

add them

\(\longrightarrow\sf 2x=20 \)

\(\longrightarrow\sf x=10\)

Substitute the value in eq (1)

\(\longrightarrow\sf 10+y=16 \)

\(\longrightarrow\sf y=6 \)

numbers are 6 and 10

Answer:

25.5

Step-by-step explanation:

2( -21+9x)=2x+18

-42+18x=2x+18

+42            +42

18x=2x+60

-2x -2x

16x=60

60/16=3.75

x=3.75

GH=2x+18

2(3.75)+18

7.5+18=25.5

GH=25.5

If Hank bought a 4 room home for a rental, and he put 20% down on the $300,00. 00 rental unit, the annual depreciation amount would be $8,727.27 .

To determine the depreciation amount, we first need to determine the depreciable basis of the rental property. The depreciable basis is the portion of the property's value that can be depreciated over time.

In this case, Hank put 20% down on a $300,000 rental unit, which means he paid $60,000 as a down payment. Therefore, the depreciable basis of the rental property is the remaining $240,000 ($300,000 - $60,000).

The IRS allows rental property owners to depreciate the depreciable basis of their property over 27.5 years using the straight-line method. To calculate the annual depreciation amount, we divide the depreciable basis by the number of years of useful life.

So, in this case, the annual depreciation amount would be $8,727.27 ($240,000 / 27.5). This means that Hank would be able to deduct $8,727.27 from his rental income each year for 27.5 years to account for the wear and tear of the property.

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So, Tracy paid $12.50 for the encyclopedia and $45.50 for the math book.

In mathematics, an equation is a statement that shows the equality between two expressions. The expressions can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. An equation usually has an equals sign (=) between the two expressions. The equals sign indicates that the two expressions have the same value.

Here,

Let's use variables to represent the prices of the math book and the encyclopedia.

Let x be the price of the encyclopedia.

According to the problem, the price of the math book is 8 dollars more than 3 times the price of the encyclopedia. So, the price of the math book can be represented as:

=3x + 8

The total cost of the two books is given as 58 dollars. Therefore, we can write the equation:

x + (3x + 8) = 58

Simplifying and solving for x, we get:

4x + 8 = 58

4x = 50

x = 12.50

So, the price of the encyclopedia is $12.50.

To find the price of the math book, we can substitute x = 12.50 into the expression we derived earlier:

=3x + 8

= 3(12.50) + 8

= 37.50 + 8

= 45.50

Therefore, the price of the math book is $45.50.

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The variance V[aX+b] of a random variable X with real numbers a and b simplifies to a^2 * V[X].

Here's a step-by-step explanation:

1. Recall the definition of variance: V[Y] = E[(Y - E[Y])^2], where Y is a random variable and E[Y] represents its expected value.
2. Substitute Y with aX+b: V[aX+b] = E[((aX+b) - E[aX+b])^2].
3. Apply the linearity of expectation: E[aX+b] = aE[X] + b.
4. Substitute this back into the variance equation: V[aX+b] = E[((aX+b) - (aE[X] + b))^2].
5. Simplify the expression inside the expectation: (aX+b) - (aE[X] + b) = a(X-E[X]).
6. Square the simplified expression: (a(X-E[X]))^2 = a^2 * (X-E[X])^2.
7. Use the fact that E[aZ] = a * E[Z], where Z is a random variable: E[a^2 * (X-E[X])^2] = a^2 * E[(X-E[X])^2].
8. Recall that E[(X-E[X])^2] = V[X], so the final answer is: V[aX+b] = a^2 * V[X].

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Answer:

Step-by-step explanation:

ok

Answer:

Amplitude of 2, midline is y=4

Answer:

y=4.

Step-by-step explanation:

I hope this helps!

The time it would take Colleen alone to clear the yard of leaves is 40 minutes (option d). So the answer is d. 40 minutes

Let's set up the equation based on the given information:

1/24 is the rate at which Sean and Colleen work together (clearing the yard in 24 minutes).

Let's denote the time it takes Colleen to clear the yard alone as c minutes. According to the given information, it would take Sean 20 minutes longer than Colleen to clear the yard alone, so Sean's time is (c + 20) minutes.

To set up the equation, we can combine their individual rates of work:

1/c is Colleen's rate of work (clearing the yard in c minutes).

1/(c + 20) is Sean's rate of work (clearing the yard in c + 20 minutes).

Given that their combined rate is 1/24, we can set up the equation:

1/c + 1/(c + 20) = 1/24

To solve this equation and find the value of c, we can multiply both sides by the common denominator of 24c(c + 20):

24(c + 20) + 24c = c(c + 20)

Simplifying and rearranging the equation:

24c + 480 + 24c = c^2 + 20c

48c + 480 = c^2 + 20c

Rearranging the terms and setting the equation equal to zero:

c^2 - 28c - 480 = 0

Now we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. By factoring, we find:

(c - 40)(c + 12) = 0

This gives two possible values for c: c = 40 or c = -12.

Since time cannot be negative, we discard the solution c = -12.

Therefore, the time it would take Colleen alone to clear the yard of leaves is 40 minutes (option d).So the answer is d. 40 minutes.

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Using the definition of the tangent function, we will get that:

5√(6)/12 = sin(θ)

Here you need to remember how the tangent function is defined, we know that:

tan(θ) = sin(θ)/cos(θ)

Here we know that:

tan(θ) = √15/3

cos(θ) = √10/4

Replacing that we can write:

√15/3 = sin(θ)*(4/√10)

Solving for the sine, we will get:

(√15/3)*(√10/4) = sin(θ)

(√15*√10)/(3*4) = sin(θ)

(√150)/(12) = sin(θ)

(√(25*6))/(12) = sin(θ)

5√(6)/12 = sin(θ)

That is the answer.

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