Find the answer to start fraction four over five end fraction square root of 175 end square root and select the correct answer below. Also, is the product of a nonzero rational number and an irrational number classified as rational or irrational?

20 square root of seven end square root comma irrational
start fraction four square root of seven end square root over five end fraction comma rational
four square root of seven end square root comma irrational
start fraction 28 square root of 25 end square root over five end fraction comma rational

The translation in the form (x,y) is  (-3, -10)

In geometry, translation is a type of transformation that moves each point of a figure to a new location, while preserving the shape and size of the figure. A translation is defined by a displacement vector, which specifies the direction and magnitude of the movement.

T is the initial position of the object and T' is the image (new position) of the object after translation. We can use this equation:

T + translation = T'

translation = T' - T

translation = (6, -2) - (9, 8)

translation = (6-9, -2-8)

translation = (-3, -10)

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Answer:

its 16

Step-by-step explanation:

Answer:x=-4+0.1/4

Step-by-step explanation:x+x+2+2x=-2.1-10-2

We move all terms to the left:

x+x+2+2x-(-2.1-10-2)=0

We add all the numbers together, and all the variables

x+x+2x+2-(-14.1)=0

We add all the numbers together, and all the variables

4x+16.1=0

We move all terms containing x to the left, all other terms to the right

4x=-16.1

x=-16.1/4

x=-4+0.1/4

Answer:

-1

Step-by-step explanation:

Answer is - 1

Answer:

Step-by-step explanation:

If we are looking for the ratio of the area of the inner square to the area of the outer square, that means that we need the areas of each of these squares, and we need to find the areas without any numbers. But that's ok; the answer they want is not a number answer. The answer will have a's and b's in it instead of numbers.

First the area of the inner square. Here we go:

Look at the triangle in the lower left corner of this coordinate plane. It is a right triangle. The height of it is b. That's because the height is a "y" thing and the y-coordinates of each of those sets of coordinates is b and 0. The height is then b - 0 = b.

The length of the base is a - b. That's because the length is an "x" thing and the x-coordinates of each of those sets of coordinates is (a - b) and 0. The length is then a - b - 0 = a - b.

Now we need the length of the hypotenuse which also serves as one of the sides of the inner square. Using Pythagorean's Theorem, we can find the length of the hypotenuse, which I will label as "?":

\(?^2=b^2+(a-b)^2\) and

\(?^2=b^2+a^2-2ab+b^2\) and

\(?^2=a^2-2ab+2b^2\) so

?, the length of the hypotenuse, is

\(?=\sqrt{a^2-2ab+2b^2}\) and now we can use that to find the area of the inner square. The formula for a square's area is

\(A=s^2\) so

\(A=(\sqrt{a^_2}-2ab+2b^2})^2\) which gives us finally:

\(A=a^2-2ab+2b^2\) **

Now for the outer square. Those blue triangles you see are all congruent. We can use the side lengths for the triangles we found above to find the length of a side of the outer square. One side of the outer square is made up of one base length of these triangles and one height. We found the base length to be (a - b) and the height to be b; therefore, the length of one side of the outer square is b + (a - b) which is just "a". That's is, just a length of "a". The area is found by multiplying this side length by itself, so the area of the outer square is

A = a²

The ratio of the area of the inner to the outer is:

\(\frac{A_i}{A_o}:\frac{a^2-2ab+2b^2}{a^2}\) and that does not reduce.

Answer:

A

Step-by-step explanation:

Edmentum

Answer:

Upload a file please

Step-by-step explanation:

Answer:

Thank you so muchhhhh

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!

Answer:unless cos In this case, we say that the tangent ratio is undefined. Between 0° and 360°, this will happen when θ = 90°, or θ = 270°.

Step-by-step explanation:

unless cos In this case, we say that the tangent ratio is undefined. Between 0° and 360°, this will happen when θ = 90°, or θ = 270°.

Answer:

Step-by-step explanation:

This is a proof.  You need to use theorems and definitions to get to your answer.  You cannot make any assumptions without a definition for it.  You can you use the information that you have proven from previous statements.

m<1 = m<2                               Given

QP = QR                                   Given

m<3 = m<4                               Vertical Angles

m<1 + m<3 + m<P = 180          Triangle Sum Theorem

m<P = 180 - m<1 - m<3            Subtraction

m<P = 180 - m<2 - m<3           Substitution

m<2 + m<4 + m<R = 180         Triangle Sum Theorem

m<R = 180 - m<2 - m<4           Subtraction

m<R = 180 - m<2 - m<3           Substitution

m<P = m<R                               Transitive

m<Q = m<Q                             Reflexive

ΔQTP ≅ ΔQTR                        ASA

We proved that the triangles are congruent by proving an angle, a side and another angle are the same.

<Q and <Q same

QR and QP same, this was give

<R = <P same through proof    

Answer:

last one

Step-by-step explanation:

Answer:

0.75 liters

Step-by-step explanation:

1000ml in 1 liter so 0.75*1000=750ml

750ml > 350ml

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

\(\triangle TRS\ congruent\ to\ \triangle ZYX\\\)

Step-by-step explanation:

\(Lets\ consider\ \triangle TRS\ and\ \triangle ZYX\\Hence,\\TR=ZY\\TS=ZX\\RS=XY\\Hence,\\The\ SSS\ Congruency\ Tells\ us:\\'If\ three\ sides\ of\ one\ triangle\ corresponds\ to\ the\ three\ sides\ of\ the\\ other\ the\ triangles\ are\ congruent'\\Hence,\\\triangle TSR\ is\ congruent\ to\ \triangle ZYX.\\Note: We\ cannot\ apply\ SSS\ Congruency\ between\ \triangle TSR/ZYX\\ and\ \triangle HIJ\ as\ HI\ isn't\ equal\ to\ any\ of\ the\ sides\ in\ \triangle TSR/ZYX\)

Answer:

The null and alternative hypothesis for this problem are:

\(H_0:\mu=380\\\\H_a: \mu>380\)

Step-by-step explanation:

The alternative hypothesis shows the claim of the researchers. In this case, that the new type of fertilizer significantly increase the actual yield with the old fertilizer:

\(H_a: \mu>380\)

The null hypothesis is the hypothesis to be nullified, so it states that the claim is not true and the yield is the same (or, at least, not significantly higher) as with the old fertilizer:

\(H_0: \mu=380\)

Solutions for the given equalities:

m < - 2

y > 5

b > -4

What is inequality in mathematics?

An inequality in mathematics is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions. It is most commonly used to compare the sizes of two numbers on a number line.

The given inequalities are

1)              m - 1 < -3

    Adding 3 on both sides, we get

             m - 1 + 3 < -3 + 3

               m + 2 < 0

    Subtracting 2 from both the side, we get

               m + 2 - 2 < 0 - 2

               m < - 2

The graph of this inequality is shown below

2)             -4y < -20

     Dividing by -4, we get

             y > 5

The graph of this inequality is shown below

3)       5 + b > 1

    Subtracting 1 from both the side, we get

           b + 4 > 0

            b > -4

The graph of this inequality is shown below

4)      y = -18

This is a point on a number line, and it can be shown as

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Answer:

670,000

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

670,000

Step-by-step explanation:

Here's a tip to help you remeber

5 or more let it score

4 or less let it rest

That means that if the last number is 5 or if it's greater than 5 it will round up. But if it's 4 or less than 4 it will round down.

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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The value of cos(2α + β) using trigonometric identities is; -1.0155

We are given;

α = sin⁻¹(4/5)

β = tan⁻¹(12/5)

Thus;

sin α = 4/5

tan β = 12/5

From trigonometric ratios, we can say that;

cos α = 3/5

sin β = 12/13

cos β = 5/13

We know from trigonometric identities that  cos (a + b) = cos a cos b - sin a sin b.

Thus;

cos(2α + β) = cos 2α cos β - sin 2α sin β

Thus;

cos(2α + β) = 2(3/5) * (5/13)) - ((2 * 4/5 * 12/13))

= 0.4615 - 1.477

= -1.0155

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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A basketball team sells tickets that cost $10 $20 or VIP seats, $30.

The no. of three types of tickets = x, y, z

;

The team has sold 492 tickets over all.

x + y + z = 492

:

It has sold 177 more $20 tickets than $10 tickets.

y = x + 177

:

The total sales are $8580.

10x + 20y + 30z = 8580

:

How Many tickets of each kind have been sold?

:

Replace (x+177) for y in the 1st and 3rd equations

x + (177+x) + z = 492

2x + z = 492 - 177

2x + z = 315

and

10x + 20(x+177) + 30z = 8580

10x + 20x + 3540 + 30z = 8580

30x + 30z = 8580 - 3540

30x + 30z = 5040

Simplify, divide equation by 30

x + z = 168

:

Using these two equations for elimination

2x + z = 315

x + z = 168

---------------subtracting eliminates z

x = 147 ea $10 tickets sold

:

y = 147 + 177

y = 324 ea $20 tickets sold

;

Find z using the 1st equation

147 + 324 + z = 492

471 + z = 492

z = 492 - 471

:

Check solution in the $$ equation

10(147) + 20(324) + 30(21) =

1470 + 6480 + 630 = 8580; confirms our solutions

The number of $10 tickets sold is 1094.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Number of $10 tickets = x

Number of $20 tickets = x + 158

Number of $30 tickets = y

Total tickets = 3227

Total sales = $62410

We can make two equations.

x + (x + 158) + y = 3227

2x + y = 3227 - 158

2x + y = 3069 ____(1)

10x + 20(x + 158) + 30y = 62410

10x + 20x + 3160 + 30y = 62410

30x + 30y = 62410 - 3160

30x + 30y = 59250

30 (x + y) = 59240

x + y = 1975 ____(2)

From (1) and (2).

 2x + y = 3069

 x + y = 1975  

(-)   (-)    (-)      

x = 3069 - 1975

x = 1094

And,

Substituting x = 1094 in (2)

x + y = 1975

y = 1975 - x

y = 1975 - 1094

y = 881

The number of $10 tickets.

= x

=1094

Thus,

The number of $10 tickets is 1094.

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Answer:

0.40x = 320

Step-by-step explanation:

40 = percent, 320 = part. Write the percent as a decimal and multiply by the whole.

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Option D:

32 ÷ (–16) is equivalent to –18 ÷ (9).

Given expression:

–18 ÷ (9)

Let us first solve this expression.

                = -2  (negative by positive is negative)

To find which expression has the same value for the given expression:

Option A: –18 ÷ 2

            = –9 (negative by positive is negative)

This is not equivalent expression.

Option B: –12 ÷ (–3)

                = 4  (negative by negative is positive)

This is not equivalent expression.

Option C: –10 ÷ 5

            = –2 (negative by positive is negative)

This is not equivalent expression.

Option D: 32 ÷ (–16)

                = -2  (positive by negative is negative)

This is the equivalent expression to the given expression.

Hence ,32 ÷ (–16) is equivalent to –18 ÷ (9).

Option D is the correct answer.

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Answer:

8+h3-4

Step-by-step explanation:

10(h+2)−2h when h = 9.

The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The expressions are,

⇒ 7 + h² - 5

⇒ 10 (h + 2) - 2h

Now,

Solve the expression for h = 9 and find the relation between them as;

Since, The expressions are,

⇒ 7 + h² - 5    ...(i)

⇒ 10 (h + 2) - 2h       ...(ii)

Substitute h = 9 in (i), we get;

⇒ 7 + h² - 5 = 7 + 9² - 5

                  = 7 + 81 - 5

                  = 83

And, Substitute h = 9 in (ii), we get;

⇒ 10 (h + 2) - 2h = 10 (9 + 2) - 2 x 9

                         = 10 x 11 - 18

                         = 110 - 18

                         = 92

Thus, We get;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

Therefore, The relation between the expression at h = 9 will be;

⇒ 7 + h² - 5 < 10 (h + 2) - 2h

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The expression that represents the area of the rectangle is 18x² + 63x + 55.

What is the multiplication of polynomials?

Multiplying polynomials is a basic concept in algebra. Multiplication of two polynomials will include the product of coefficients to coefficients and variables to variables.

The area is just length times width:

(3x + 5)(6x + 11) = 18x² + 63x + 55

The degree of the expression is the highest power which is in 18x²

Above we multiplied 2 polynomials (3x + 5) and (6x + 11) and obtained another polynomial. This demonstrated the closure property of polynomials

Hence, the expression that represents the area of the rectangle is 18x² + 63x + 55.

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Answer:

  50√3 ≈ 86.6 m

Step-by-step explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

  Sin = Opposite/Hypotenuse

  sin(60°) = (kite height)/(100 m)

  kite height = (100 m)·sin(60°) = (100 m)(√3)/2

  kite height = 50√3 m ≈ 86.6 m

The growth rate of the population, given the initial population and the population after 10 years is 12. 5 % every 10 years.

To find the percent change or growth rate of a quantity between two different values, you can use the formula:

Percent change = ( new value - old value ) / old value x 100%

The new value would be the population of the village after 10 years which is 450 people.

The old value is the initial population of the village which is 400

The growth rate of the population is:
= ( 450 - 400 ) / 400 x 100 %

= 12. 5 %

The growth rate for the village is therefore 12. 5 % every ten years.

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The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Answer:

welp-_- in 1 yard theres 3 so..........in 5 yards there 15 feet + 1 is 16 your welcome

Step-by-step explanation:

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