15. The weight of a trout varies jointly as its length and the square of its girth. One angler
caught a trout that weighed 10.5 pounds and measured 26 inches long with an 18-inch
girth. Find the weight of a trout that is 22 inches long with a 15-inch girth. (Girth is the
distance around the body of a fish.)

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

\(\huge \boxed{\mathrm{12}}\)

Step-by-step explanation:

R is a point on the line segment QS.

QR = 2

RS = 10

QS = 2 + 10

QS = 12

The length of the line segment QS is 12 units.

Given that, point R is on the line segment QS. Given QR =2 and RS = 10.

We need to determine the length of QS.

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Here, since R is in between QS, QS=QR+RS

=2+10=12 units

Therefore, the length of the line segment QS is 12 units.

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Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

The missing sides of the figure are

3. x = 6

5. x = 40

3. Given that the area is 42

Area of trapezoid is = 1/2 (sum of parallel lines) * height

42 = 1/2(x + 10) * 6

8 = 1/2 (x + 10)

16 = (x + 10)

16 - 10 = x

x = 6

5. Area = 140

Area = area of triangle + area of square

140 = 1/2 * x * 4 + x * 5

140 = 2x + 5x

280 = 7x

x = 280/7

x = 40

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12x² + 102x² + 114x - 84

Answer:

Solution Given:

1st term: 6x²+39x-21

Taking common

3(2x²+13x-7)

doing middle term factorization

3(2x²+14x-x-7)

3(2x(x+7)-1(x+7))

3(x+7)(2x-1)

2nd term: 6x²+54x+84

taking common

6(x²+9x+14)

doing middle term factorization

6(x²+7x+2x+14)

6(x(x+7)+2(x+7))

2*3(x+7)(x+2)

Now

Least common multiple = 2*3(x+7)(2x-1)(x+2)

2(x+2)(6x²+39x-21)

(2x+4)(6x²+39x-21)

2x(6x²+39x-21)+4(6x² + 39x-21)

12x³+78x² - 42x+4(6x² + 39x-21)

12x³+78x² - 42x + 24x² + 156x-84

12x³ + 102x²-42x + 156x - 84

12x² + 102x² + 114x - 84

Answer:

\(12x^3+102x^2+114x-84\)

Step-by-step explanation:

Given polynomials:

\(\begin{cases} 6x^2+39x-21\\6x^2+54x+84 \end{cases}\)

Factor the polynomials:

Polynomial 1

\(\implies 6x^2+39x-21\)

\(\implies 3(2x^2+13x-7)\)

\(\implies 3(2x^2+14x-x-7)\)

\(\implies 3[2x(x+7)-1(x+7)]\)

\(\implies 3(2x-1)(x+7)\)

Polynomial 2

\(\implies 6x^2+54x+84\)

\(\implies 6(x^2+9x+14)\)

\(\implies 6(x^2+7x+2x+14)\)

\(\implies 6[x(x+7)+2(x+7)]\)

\(\implies 6(x+2)(x+7)\)

\(\implies 2 \cdot 3(x+2)(x+7)\)

The lowest common multiplier (LCM) of two polynomials a and b is the smallest multiplier that is divisible by both a and b.

Therefore, the LCM of the two polynomials is:

\(\implies 2 \cdot 3(x+7)(x+2)(2x-1)\)

\(\implies (6x^2+54x+84)(2x-1)\)

\(\implies 12x^3+108x^2+168x-6x^2-54x-84\)

\(\implies 12x^3+102x^2+114x-84\)

Answer:

linear

Step-by-step explanation:

Answer:

Your bottom

Step-by-step explanation:

A = π × r2

Hope this helped!

-Akito

The probability of randomly selecting socks that are not blue is 1/6.

A probability means the branch of math which deals with finding out the likelihood of the occurrence of an event. Its measures the chance of an event happening.

To get it, we will calculate number of favorable outcomes of socks that are not blue and divide by number of possible outcomes.

Out of 3 colors (purple, blue, orange), there are 2 colors (purple, orange) that are not blue. As we are selecting socks, there is only 1 option for the piece of clothing, so, number of favorable outcomes is 2.

The total number of possible outcomes is:

= 4 * 3

= 12.

Probability of selecting socks that are not blue is:

= Number of favorable outcomes / Total number of possible outcomes

= 2 / 12

= 1/6.

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Hope you understand :)

Answer:

x°=55°

Step-by-step explanation:

90°=35°+x°

90°-35°=x°

55°=x°

therefore, x°=55°

Answer: 4/5 * 7^1/2 ==> 1st option

Step-by-step explanation:

3(7/25)^1/2-(28/25)^1/2+(63/25)^1/2=

3(7)^1/2 / 5 -(4*7)^1/2 / 5 +(9*7)^1/2 / 5=

3(7)^1/2 / 5 -2(7)^1/2 / 5 +3(7)^1/2 / 5=

(3-2+3)(7^1/2 / 5)=

4(7^1/2 / 5)=4/5 * 7^1/2 ==> 1st option

Answer:

3 x 3/12 x 2/11 x 9/10

Step-by-step explanation:

Answer:

this is the answer!!

Step-by-step explanation:

Answer:

7m and 17m

Step-by-step explanation:

The length would be between 7m and 17m. This is because since the sum of two sides of a triangle must be greater than the third side. The sum of the third side and 6 must give us something greater than 12. This means the least the length can be is 7m. Since 6+12=18, the third side also has to be less than 18. This means the greatest the length can be is 17m.

Answer:

your answer would be 0.25 cents per egg

Step-by-step explanation:

Answer:

k = 6

Step-by-step explanation:

-3=k+3

1) you must isolate the variable (k)

2) subtract each side by 3, to get k=-6

> -3-3=k+3-3

-6=k

now your variable is isolated, so you have your answer.

Answer: how did u get a pfp

Step-by-step explanation:

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

The answer is 1/4. Hope it helps.

Step-by-step explanation:

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:I n no

Step-by-step explanation:

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

The electron moved down to an energy level and has an energy of

\(10.92 \times 10^{-19} \textsf{J}\)

Step-by-step explanation:

\(\textsf{initial energy level of electron}= 16.32 \times 10^{-19} \textsf{J}\)

\(\triangle E =\textsf{energy released}= 5.4 \times 10^{-19} \textsf{J}\)

A positive energy change means that the electron absorbs energy, while a negative energy change implies a release of energy from the electron.

Therefore, when an electron absorbs energy, the electron moves up to higher energy levels, and when an electron releases energy, it moves to lower energy levels.

\(\triangle E=E_2-E_1\)

\(\implies 5.4 \times 10^{-19} = 16.32 \times 10^{-19} -E_1\)

\(\implies E_1= 16.32 \times 10^{-19} -5.4 \times 10^{-19}\)

\(\implies E_1= 10.92 \times 10^{-19}\)

Answer:

The electron moved down to an energy level and has an energy of

\(10.92 \times 10^{-19} \textsf{J}\)

Answer:

2(25xn+10x+2)

Step-by-step explanation:

Pasos de la solución

25xn2+20x+4

Simplifica 2.

2(25xn+10x+2)

Since, Z(0)>Z(0.1) that is 3.07>1.28. So reject H(0). So the option 1 and 3 is correct.

In the given question,

H(0): μ=18 ; H(a): μ>18

x = 19.1

Conclude whether to reject or not reject H(0), and interpret the results.

σ = 1.6

α  = 0.1 (significance level) .

The test statistic is

Z(0) = {x-μ(0)}/(σ/√n)

Z(0)= (19.1-18)/16/√20

Z(0) = 3.07

The critical value is Z(0.1) = 1.28.

As we can see that;

Z(0)>Z(0.1) that is

3.07>1.28

So reject H(0).

So the option 1 and 3 is correct.

Reject H(0), the test statistic Z(0)=3.07 is Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

And

The test statistic falls within the rejection region.

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The right question is:

Select two responses below.

Select all that apply:

(1) Reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(2) Fail to reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(3) The test statistic falls within the rejection region.

(4) The test statistics is NOT in the rejection region.