anyone answer this pls

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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The average U.S. citizen uses approximately 88 gallons of water a day.

What is Frequency?

Frequency is a measure of how often an event occurs within a given period of time. It is typically expressed as the number of occurrences of a given event per unit of time. Frequency can be used to measure a variety of phenomena such as the frequency of sound in a given environment or the frequency of a particular chemical element in a given sample.

Selina's low-flow toilet and showerhead will reduce her total water use to just 48.4 gallons per day, a savings of 39.6 gallons of water each day. This is a 44.8% reduction in her water consumption, saving her almost 40 gallons of water per day.

By making these improvements, Selina is helping to conserve a precious resource and limit her environmental impact. Not only is she helping to conserve water, but she is also saving money on her water bill. It is estimated that a typical household can expect to save about $170 annually by making these simple changes.

In addition to her low-flow fixtures, Selina can take additional steps to reduce her water consumption. She can install a water-efficient dishwasher, reduce the frequency of her laundry loads, and install a rain barrel to collect rainwater for gardening. By making these changes, she can reduce her water consumption even further and save even more money.

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Answer:

remainder=-10

Step-by-step explanation:

a^3+6a^2-11a-38=a^3+7a^2-a^2-7a-4a-28-10=a^2(a+7)-a(a+7)-4(a+7)-10=(a+7)*(a^2-a-4)-10

or you can find remainder replacing a with -7:

-7^3+6*-7^2+7*11-38= -10

Answer:

Step-by-step explanation:

(a³ + 6a² - 11a -38) ÷ (a+7) = a² - a - 4 rem (-10)

a³ + 7a²

      - a² - 11a

      - a² - 7a

              - 4a - 38

             - 4a - 28

                      -10

Answer:

slope=-1

Step-by-step explanation:

Slope formula= y1-y2/x1-x2

8-13/3-(-2)=-5/5=-1

The slope of the line that passes through points (3,8) and (-2,13) is -1 / 2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

Given:

The coordinates of point = (3,8) and (-2,13),

Calculate the slope of the line from the formula given below,

m = (y₂ - y₁) / (x₂ - x₁)

Here m is the slope.

Substitute the values,

m = (13 - 8) / (-2 - 8)

m = - 1 / 2,

Therefore, the slope of the line that passes through points (3,8) and (-2,13) is -1 / 2.

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Step-by-step explanation:

that means the current value of $117,000 is 100 - 35 = 65% of the original price.

65% = $117,000

1% = 65%/65 = 117000/65 = $1,800

100% = 1%×100 = 1800×100 = $180,000

the original (100%) purchase value was $180,000.

Answer:

  18x

Step-by-step explanation:

The HCF is the highest factor common to both expressions. We can find it by factoring both expressions and identifying common factors.

  36(x³+x²y-12xy²) = 18x·2·(x +4y)(x -3y)

  54(x³y+4x³y²-21xy) = 18x·3y·(x +7)(x -3)

The highest common factor is 18x.

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

20 years

Step-by-step explanation:

when the boy is 8 and half his sisters age his sister is 16

four years later the boy will be twelve, so if his sister was 16 four years later she will be 20

Answer:

20 years old

Step-by-step explanation:

Let n represent the age of the boy's sister then...

\(8=\frac{1}{2}n\)

Multiply both sides by 2

\(n=16\)

When the boy is 12, it will be 4 years from when he is 8 therefore...

16 + 4 = 20 years old

Representing the quantity by an integer : a loss of 14 pounds will be -14.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043.

In this case, the quantity by an integer : a loss of 14 pounds will be -14. This is because a loss is negative.

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Answer: jiri is 14

Step-by-step explanation:

14x2 = 28

28+14=42

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

The common ratio in the sequence is √581/3

We know that in a geometrical progression with a common ratio R, the recursive formula is:

A(n)  = R*A(n - 1)

That means that each term in the sequence is R times the previous term, so knowing one term and R (or two terms) we can completely define the sequence.

Here we know that:

A(3) = 18

A(5) = 1162

Then we could write:

A(5) = R^2*A(3)

1162 = 18*R^2

1162/18 = R^2

581/9 = R^2

√(581/9) = R

√581/3  =R

That is the common ratio.

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Answer:

F=16+15

Step-by-step explanation:

F=16+15

F-the age in fifteen years

16- the age right now

Answer:

F = 16 + 15

Explanation:

To write an equation, first establish any variables and their values, as well as the terms needed.

'F' - your age fifteen years from your current age

'16' - your current age

'15' - fifteen years added to your current age

Since we know that we have to find the total age fifteen years from your current age, that means we will be using addition in the equation. Now write your equation using the information we've established.

your age fifteen years from your current age = your current age + fifteen years

F = 16 + 15

Therefore, the equation that could be used to solve for you age is F = 16 + 15.

Answer:

a. False.

b. False.

Step-by-step explanation:

Statement a:

The median salary is $27,200 and the 57th percentile is $30,400.

Thus, 57-50 = 7% of the salaries are between $27,200 and $30,400, that is, not between $26,500 and $30,400, and thus, statement a is false.

b. The percentile rank of $25,400 is 50.

The median salary is $27,200, and thus, the percentile rank of $27,200 is 50, and the percentile rank of $25,400 is less than 50, and this statement is false.

Answer:

2 * A^(3/2).

Step-by-step explanation:

Given that planet y is twice the mean distance from the sun as planet x, we can denote the mean distance of planet x as "A" and the mean distance of planet y as "2A".

The equation T^2 = A^3 represents the relationship between the orbital period (T) and the mean distance from the sun (A) for a planet.

Let's compare the orbital periods of planet x and planet y using the equation:

For planet x:

T_x^2 = A^3

For planet y:

T_y^2 = (2A)^3 = 8A^3

To find the factor by which the orbital period is increased from planet x to planet y, we can take the square root of both sides of the equation for planet y:

T_y = √(8A^3)

Simplifying the square root:

T_y = √(2^3 * A^3)

= √(2^3) * √(A^3)

= 2 * A^(3/2)

Now, we can express the ratio of the orbital periods as:

T_y / T_x = (2 * A^(3/2)) / T_x

As we can see, the orbital period of planet y is increased by a factor of 2 * A^(3/2) compared to the orbital period of planet x.

Therefore, the factor by which the orbital period is increased from planet x to planet y depends on the value of A (the mean distance from the sun of planet x), specifically, it is 2 * A^(3/2).

The value of the probability is 0.167

From the question, we have the following parameters that can be used in our computation:

6   7   8

The probability of picking a 8 on the first draw and then picking a number above 7 on the second draw is:

P(6 and then >7) = P(6) x P(>7 | 6)

Given that the cards are not replaced, we have

P(6 and then >7) = 1/3 * 1/2

Evaluate

P(6 and then >7) = 0.167

Hence, the probability is 1/6

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______________________________

______________________________

Answer:

220

Step-by-step explanation:

Circumference of a circle is=diameter times pi

70=diameter because diameter is twice the radius

(22/7)70 is your answer

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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The value of m<RQS as required to be determined in the task content is; 70°.

It follows from the task content that the measure of angle RQS is to be determined as required.

Recall, the measure of the central angle subtended by an arc is twice that which it subtends at any point on the circumference.

Therefore, m<RPS = 2 • m<RQS.

m<RQS = 140°/2

m<RQS = 70°.

Ultimately, the measure of angle RQS are; 70°.

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The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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The size of the unknown angle "x"

We'll have to check which one is appropriate from SOHCAHTOA.

In this question hypotenuse and adjacent is given so, we'll have to use cos.

\(\large\boxed{Formula: cos \: (A)= \frac{adj}{hyp}}\)

Let's solve!

Let's substitute the values according to the formula.

\(cos \: x= \frac{8}{11}\)

We'll have to use cos inverse.

\(x= {cos}^{-1}( \frac{8}{11} )\)

\(x= 43.34175823\)

Now we'll have to round off to 1 decimal place.

The value in hundredths place is less than 5 so we won't have to round up.

So, the final answer is:

\(\large\boxed{x= 43.3°}\)

Therefore, the size of the unknown angle "x" is 43.3°

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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The Fibonacci series is solved and information on patterns is found

Given data ,

The Fibonacci sequence is a series of numbers where each number is the sum of the previous two numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. This sequence can be found in many aspects of nature, including:

a)

The branching of trees and plants: The number of branches on a tree or plant often follows the Fibonacci sequence.

b)

The arrangement of leaves on a stem: The number and angle of leaves on a stem often follow a pattern related to the Fibonacci sequence.

c)

The spirals of shells and snail shells: The number of spirals often follows the Fibonacci sequence

Hence , the fibonacci series is solved

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Answer: 4 1/2

Step-by-step explanation:

Amogus

Answer:

Exact Form:

17/2

Decimal Form:

8.5

Mixed Number Form:

8 1/2