Frequency of radiation with a wave length of 5.2 cm. (change to meters first)

Answer:

900

Step-by-step explanation:

300/12=25

75*12=900

Answer:

enlargement

Step-by-step explanation:

observe from the figure [tex]OK=x<x+5=7=OK'[/tex]

since [tex]OK<OK'[/tex], then the dilation is an enlargement.

Answer:

Step-by-step explanation:

defsfvbrfdv

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

The value of f(g(x)) is 6x³ + 4.

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

Example:

3x + 4 = 5 is an equation.

2x + 4x = 4 is an equation.

We have,

The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes.

The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works.

f(x) = 2x² + 4

g(x) = √(3x³)

Now,

f(g(x)):

= f(√(3x³))

= 2{√(3x³)}² + 4

= 2(3x³) + 4

= 6x³ + 4

Thus,

The value of f(g(x)) is 6x³ + 4.

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Answer:

[tex]x=\frac{5}{7} -\frac{y}{7}[/tex]

Step-by-step explanation:

You move all terms that dont contain x
to the right side and solve.

Hope this helps! :))

Answer:

cost per pound for Jelly Beans is 5$

cost per pound for Gummy Worms is 8$

The product of the given polynomials is 4y/(y + 3).

We are given two polynomials. A polynomial is a mathematical statement that is composed of the sum of powers in one or more variables multiplied by coefficients. The polynomials are in rational form. A rational number is created by dividing an integer by an integer. The first polynomial is 2y/(y - 3). The second polynomial is (4y - 12)/(2y + 6). We need to find the product of these two polynomials. Let the product be represented by the variable "P".

P = [2y/(y - 3)]×[(4y - 12)/(2y + 6)]

P = [2y/(y - 3)]×[4(y - 3)/2(y + 3)]

P = [2y]×[2/(y + 3)]

P = 4y/(y + 3)

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For every 50 y, there is 1 hour

The eggs that will remain after Sharma is making treats for a tea party is 1.

From the information, Mrs. Sharma is making treats for a tea party later this week, and she has up to 6 eggs to use for this purpose a batch of scones requires 3 eggs and a batch of miniature tarts requires 2 eggs.

In this case, the eggs remaining will be:

= Total eggs - Eggs used

= 6 - (3 + 2)

= 6 - 5

= 1

There'll be 1 egg remaining.

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Complete question

Mrs. Sharma is making treats for a tea party later this week, and she has up to 6 eggs to use for this purpose. A batch of scones requires 3 eggs and a batch of miniature tarts requires 2 eggs. How many eggs will be left?

The average difference or mean in game scores across six games is 5.67

The mean is the average of a data set. The mode is the most common number in a data set. The median is the middle of the set of numbers. The mean is the average or the most common value in a collection of numbers. the mean is one of the measures of b, apart from the mode and median. Mean is nothing but the average of the given set of a data.

To solve this problem, we have to write the wins and loss separate and then find the mean.

Wins = 8 points, 7 points, 20 points, 9 points

Loss = 8 points, 2 points

The sum of win points = 8 + 7 + 20 + 9 = 44 points

The sum of lost points = 8 + 2 = 10 points

The mean difference = (win - loss)/ total number of games

The mean difference = ( 44 - 10) / 6

The mean difference = 34 / 6 =5.67

The mean difference in the game scores over six games is 5.67 points

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If the promissory note stated that there was a balloon payment at the end. The sum of all but the last monthly payment is: $56,525, $57,000.

Total payment = $475 × [(10 years × 12 months) -1]

Total payment = $475 × 119 payment

Total payment = $56,525

Total payment = $475 × [(10 years × 12 months) ]

Total payment = $475 × 120 payment

Total payment = $57,000

Therefore the monthly payment is; $56,525, $57,000.

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Answer:

88.8 km/h

Step-by-step explanation:

There are 7 possible positive integers that satisfy the inequality.

In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal. Generally, if two values are not equal, we use “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

We can find the positive values of x in the given inequality.

2x + 8 < 22

2x < 22 - 8

2x < 14

x < 7

The solution shows that x < 7

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Rounding off 9.4725 to the nearest cent will give 9.5

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths. When rounding money to the nearest cent, look at the number to the right of the full cents. In this case, that number is 9. If the number is five or more, increase the cents by 1. If the number is four or less, keep the cents the same. Because 9 is more than 5, $3.299 rounds to $3.30.

Applying same principle or concept here, we can round off 9.4725 to the nearest cent to give 9.5.

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Answer:

It will take 5 lunges to cover the path.

Step-by-step explanation:

Path length = 110

1 lunge = 22 yards

110/22 = 5

5 lunges = 22x5 = 110 yards

Answer:

[tex]28t^4u^5v^9[/tex]

Step-by-step explanation:

I will answer this a few different ways depending on whether there are supposed to be exponents in the question.

As written

As written, the product is:

[tex](7tuv7)(4t3u4v2)[/tex]

All of the coefficients can be multiplied together. This is what that looks like:

[tex]4704tuvtuv[/tex]

Now, each variable multiplied by itself gets the exponent of 2.

[tex]4707t^2u^2v^2[/tex]

Assuming exponents and coefficients

Assuming exponents, the product is:

[tex](7tuv^7)(4t^3u^4v^2)[/tex]

Again, the coefficients can be multiplied, and the like variables written next to each other:

[tex]28tt^3uu^4v^7v^2[/tex]

When multiplying like terms with exponents, add the exponents. Variables without an exponent have an exponent of 1.

[tex]28t^4u^5v^9[/tex]

The statements are true "3 is less than 7, and the absolute value of 3 is less than the absolute value of 7".

Absolute value is defined as the magnitude or size of a number, no negatives are allowed.

The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

The absolute value of a number is how distant it is from zero. The standard procedure to represent absolute value is to use a number line to estimate the exact distance the number is from zero.

As per the option, 3 is less than 7 is true.

The absolute value of 3 is less than the absolute value of 7  is true.

Thus, the statements are true "3 is less than 7, and the absolute value of 3 is less than the absolute value of 7".

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The question seems to be incomplete the correct question would be

Which statements about 3 and 7 are true? Choose ALL the correct answers.

3 is less than 7.

3 is greater than 7.

The absolute value of 3 is less than the absolute value of 7.

The absolute value of 3 is equal to the absolute value of 7.

The absolute value of 3 is greater than the absolute value of 7.

Answer:

Step-by-step explanation:Your calculations indicate that you will need 20.8 cubic yards of concrete for a slab floor. Which of the following quantities would be the best amount to order accounting for waste

The closed right circular cylindrical can of the smallest surface area whose volume is 250π cm³ has a radius of 5cm and a height of 10 cm.

Let r and h be the radius and height of the cylinder respectively.

Volume, V= πr²h

Given,

Volume = 250 π

Now, we can solve by:

⇒ 250 π = πr²h

⇒ r²h=250

⇒ h= 250/r²

We know that,

Surface area, A = 2πr²+2πrh

⇒ A = 2πr²+ 2πr(250/r²)

⇒ A = 2πr²+ (500π/r)

Differentiating the above equation,

dA / dr = 4πr+500π(-1/r²)

For A to be maximum or minimum, dA/dr = 0

⇒ 4πr-500(π/r²) = 0

⇒ 4πr - 500π / r² = 0

⇒ 4πr³ -500π/ r² = 0

⇒ π (4r³ -500) = 0

⇒ 4r³ - 500 = 0

⇒ r = ∛125

⇒ r = 5

Putting value of r = 5, we get,

h = 250/(5)² = 10

By second derivative test,

d²A/dr² = 4π-500π(-2/r³)

At r= 5,

d²A/dr² = 4π+1000(π/r³) > 0 .

Therefore, It is a local minimum.

Ans: Radius = 5 and Height = 10

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{5}}x-1\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-2}{5}} ~\hfill \stackrel{reciprocal}{\cfrac{5}{-2}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{5}{-2}\implies \cfrac{5}{2}}}[/tex]

so we're really looking for the equation of a line whose slope is 5/2 and it passes through (-2 , 14)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{14})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{14}=\stackrel{m}{ \cfrac{5}{2}}(x-\stackrel{x_1}{(-2)}) \implies y -14= \cfrac{5}{2} (x +2) \\\\\\ y-14=\cfrac{5}{2}x+5\implies {\Large \begin{array}{llll} y=\cfrac{5}{2}x+19 \end{array}}[/tex]

I think is is 22

because it is asking how many times can .6m go into 13.2m of ribbon? If you start with 20x.6 you will get 12. Then you add on another one and get 12.6. Finally add one more to get 13.2m ribbon which would make the answer 22. You can also divide 13.2m divided by .6m and get 22.

Hopefully this helped you guys. If you guys want more answers please give me those 5 Stars and Give me a thanks to show you appreciation.

Over all the Answer is 22

Have a great day (:

Answer:

The y intercept

Step-by-step explanation:

[tex]\boldsymbol{\sf{\sqrt{3^2+27}+2^3+\sqrt[3]{64} }}[/tex]

Calculate 3 to the power of 2.

[tex]\boldsymbol{\sf{\sqrt{9+27}+2^3+\sqrt[3]{64} }}[/tex]

Add 9 and 27.

[tex]\boldsymbol{\sf{\sqrt{36}+2^3+\sqrt[3]{64} }}[/tex]

Find the square root of 36.

[tex]\boldsymbol{\sf{6+2^3+\sqrt[3]{64} }}[/tex]

Calculate 2 to the power of 3.

[tex]\boldsymbol{\sf{6+8+\sqrt[3]{64} }}[/tex]

Add 6 and 8.

[tex]\boldsymbol{\sf{14+\sqrt[3]{64} }}[/tex]

Calculate [tex]\sqrt[3]{64}[/tex]

[tex]\boldsymbol{\sf{14+4=18}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ 18}[/tex]

[tex] \: \: \: \: \: \: \: \bold{\sqrt{9 + 27} + 2 {}^{3} + \sqrt[3]{64} }[/tex]

To solve this problem, the first thing we have to do is simplify 3² to 9, since it multiplies 2 times 3 to give us 9.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \bold{ \sqrt{36} + {2}^{3} + \sqrt[3]{64} }[/tex]

Then we must add 9 + 27 to give us a result of 36.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{6 + {2}^{3} + \sqrt[3]{64} }[/tex]

Now we must multiply again but this time we are going to multiply 2 times 6 since 6 × 6 is equal to 36.

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{6 + 8 \: + \sqrt[3]{64} }[/tex]

Now we must again multiply 3 times 2 to give us 8.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{6 + 8 + 4}[/tex]

Then we must add 6 + 8 + 4.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{14 + 4}[/tex]

Before finishing we know that we got 14, now we must add 14 + 4 to give us a result of 18.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{18}[/tex]

Rpt: The result is 18.

Answer:

1/-7

Explanation:

rise/run so up 1 down 7

The cost of 1 kg of beetroot and 1 kg of kale are 1.39 units and 2.53 units respectively

The cost of 4kg of kale and 1.5 kg of beetroot is 12.20. The cost of 5kg of kale and 2kg of beetroots is 15.40.

The cost of 1kg of beetroot and 1kg of kale can be found as follows:

Therefore,

let

x = cost of 1kg of beetroot

y = cost of 1 kg of Kale

Therefore, using equation,

1.5x + 4y = 12.20

2x + 5y = 15.40

x = 12.20 / 1.5 - 4y / 1.5

x = 8.13 - 2.67y

Hence,

5y = 15.40 - 2(8.13 - 2.67y)

5y = 15.40 - 16.26 + 5.34y

5y = -0.86 + 5.34y

5y - 5.34y = -0.86

- 0.34y = - 0.86

y = - 0.86 / - 0.34

y = 2.52941176471

y = 2.53

1.5x = 12.20 - 4(2.53)

1.5x = 12.20 - 10.12

1.5x = 2.08

x = 2.08 / 1.5

x = 1.38666666667

x = 1.39

Therefore,

cost of 1kg of beetroot ≈ 1.39

cost of 1 kg of Kale = 2.53

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Answer:

[tex]y=1\frac{1}{3}x-3[/tex]

Step-by-step explanation:

Isolate y to find the value of y

2y-2/3x=-6

 +2/3x. +2/3x

2y=2/3x-6

/2.  /2.  /2

y=4/3x-3

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The percentage of jerseys that were medium-sized jerseys is 35.71%

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

Total number of jerseys the football team has = 28 jerseys

Total number of jerseys that were medium sized = 10

So ,

Percentage of jerseys that were medium sized =
( Total number of jerseys that were medium sized / Total number of jerseys ) x 100

Percentage of jerseys that were medium sized = ( 10 / 28 ) x 100

= ( 5 / 14 ) x 100

= 7.14285 x 5

= 35.71 %

Therefore , the percentage of jerseys that were medium sized = 35.71%

Hence , the percentage of jerseys that were medium-sized jerseys is 35.71%

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If the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

Suppose the selling price of a towel is x, according to the given condition,

5 = x - 15% of x

5=x-0.15x

5=0.85 x

x=5/0.85

x=5.88

Thus, if the overhead was 20% of the cost of each towel. The selling price of each towel is 5.88.

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Answer:

Co-interior angles or Consecutive interior angles are the two angles that are on the same side of the transversal. Co-interior angles are the interior angles and it sums up to 180 degrees. It means that the sum of two interior angles, which are on the same side of transversal is supplementary. Co-interior angles resemble like in “C” shape and both the angles are not equal to each other. The co-interior angle is also known as the consecutive interior angles or the same side interior angles.Co-interior Angles

Co-interior Angle Theorem and Proof

Statement:

If the transversal intersects the two parallel lines, each pair of co-interior angles sums up to 180 degrees (supplementary angles).

Proof:

Co-interior Angles Proof

Let us consider the image given above:

In the figure, angles 3 and 5 are the co interior angles and angles 4 and 6 are the co-interior angles.

To prove: ∠3 and ∠5 are supplementary and ∠4 and ∠6 are supplementary.

Given that, a and b are parallel to each other and t is the transversal.

By the definition of linear pair,

∠1 and ∠3 form the linear pair.

Similarly, ∠2 and ∠4 form the linear pair.

By using the supplement postulate,

∠1 and ∠3 are supplementary

(i.e.) ∠1 + ∠3 = 180

Similarly,

∠2 and ∠4 are supplementary

(i.e.) ∠2 + ∠4 = 180

By using the corresponding angles theorem, we can write

∠1 ≅∠5 and ∠2 ≅ ∠6

Thus, by using the substitution property, we can say,

∠3 and ∠5 are supplementary and ∠4 and ∠6 are supplementary.

Hence, the co-interior angle theorem (consecutive interior angle) is proved.

The converse of this theorem is “if a transversal intersects two lines, such that the pair of co-interior angles are supplementary, then the two lines are parallel”.