In 25 words or fewer, describe one thing the Fed can do to help
businesses.

The given fraction can be rewritten as the sum of three smaller fractions. The first small fraction has a numerator of "8x² + 115" and a denominator of "3(x² - 10)". The second small fraction has a numerator of "3x^2 + 39" and a denominator of "3x(x² - 10)". The third small fraction has a numerator of "200" and a denominator of "3x(x² - 10)".

The given fraction can be rewritten as the sum of three smaller fractions.

The first small fraction is made up of a numerator that consists of the expression,

= 8x² + 115

divided by a denominator that consists of the expression,

= 3(x² - 10)

The second small fraction has a numerator of

= 3x² + 39

and a denominator of "3x(x² - 10)".

The third small fraction has a numerator of "200" and a denominator of = 3x(x² - 10)

When these three small fractions are added together, they equal the original fraction.

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The side MN have the value of x = 4, and for the side LM have the value x = 5 for the similar polygons ABCD and LMNP.

The polygons ABCD and LMNP are similar so:

angle A is equal to angle L

angle B is equal to angle M

angle C is equal to angle N

angle D is equal to angle P

side MN = side BC

x + 6 = 10

x = 10 - 6 {subtract 6 from both sides}

x = 4

side LM = side AB

x + 9 = 14

x = 14 - 9 {subtract 9 from both sides}

x = 5

Therefore, the x = 4 for the side MN and x = 5 for the side LM for the similar polygons ABCD and LMNP.

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According to the information, it can be inferred that the bees must travel a distance of 4,803,620.82 km to complete the 30 kg of honey that a hive produces.

To calculate the distance that bees register to produce honey we must perform the following operation.

1. Calculate how many kilometers are equal to the circumference of the earth with the following formula 2*pi*R. In this case we replace the R, by the radius of the earth and we will obtain the distance of the circumference of the earth.

[tex]2\pi r[/tex]

[tex]2\pi 6,371 km = 40,030.1736[/tex]

2. Once we have identified the circumference of the earth, we must multiply it by four to know how much distance the bee will recover to produce one kg of honey.

40,030.1736 * 4 = 160,120.694

3. Finally we must multiply the distance it takes to produce 1kg by 30 to find the distance it takes to produce 30kg of honey.

160,120,694 * 30 = 4,803,620.82

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$146250 Akeo will earn his fifth year since he acquires 45 percent of the market.

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent.

Given, A pet grooming shop has been established by Akeo Goto. He calculates that the local pet grooming sector generates around $325,000 in annual sales. In the town, there are two other pet-grooming shops.

Since Akeo goto acquires 45% of the market in the fifth year.

Thus his revenue for fifth year = 45% of  325000

his revenue for fifth year = (45*325000)/100 = 146250

Therefore, $146250 Akeo will be paid for his fifth year after acquiring 45 percent of the market.

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The function rule for the triangle in discuss is; A (h) = 4h² - 5h.

The area of the triangle when it's height is 5cm is; 75cm².

Since the base, b of the triangle is 10cm less than the height h of the triangle; it follows that;

b = 8h - 10

Also, since the area of a triangle is given as;

A = 1/2 × b × h

Therefore, the function rule which represents the area of the triangle is;

A (h) = 1/2 × (8h - 10) × h

A (h) = 4h² - 5h

Hence, it follows that when the height, h of.tge triangle is; 5cm, the area of the triangle is;

A (5) = 4 (5)² - 5 (5)

A (5) = 100 - 25

A (5) = 75 cm².

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Serenity's age is 13 and Grayson's age is 14

Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.

Given that, Serenity is younger than Grayson, their ages are consecutive integers, the sum of the square of Serenity's age and 4 times Grayson's age is 225.

Let the age of Serenity be x, that of Grayson (x+1)

Therefore,

x² + 4(x+1) = 225

x² + 4x + 4 = 225

x² + 4x -221 = 0

Factorizing, we get,

x = 13, -17

Since, age can not be negative therefore, neglecting -17,

Thus, Serenity's age is x = 13 and Grayson's age is x+1 = 14

Hence, Serenity's age is 13 and Grayson's age is 14

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Answer:

[tex]\huge\boxed{\sf n = -1}[/tex]

Step-by-step explanation:

2(2n - 1) = -(n + 7)

4n - 2 = -n - 7

4n + n - 2 = -7

5n - 2 = -7

5n = -7 + 2

5n = -5

n = -5/5

n = -1

[tex]\rule[225]{225}{2}[/tex]

From the given circle image, we can say that the two lengths that must form the ratio of 1:2 is; d. AH:HI

From the image attached, we are given that Point A is the center of the circle.

Let us access each of the options to find out which one of the two lengths must form a ratio of 1:2;

Option a. HI:EF

We see that both HI and EF are diameters of the circle. Thus, their ratio cannot be equal to 1:2.

Option b. EF:AD

We see that EF is the diameter while s the radius, we can say that;

Diameter = 2 × Radius

Thus;

EF : AD = 2:1

Option c: AD : AH

We see that both D and AH are radius and as such their ratio can never be 1:2.

Option d : AH:HI

We see that AH is the radius while HI is the diameter. Thus, their ratio will be; AH:HI = 1:2

Option e; BC:HI

We see that BC is a chord and we are not given its' length and so we can't ascertain if it forms a ratio of 1:2 with HI

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Answer: 4/12 = 8/24

Step-by-step explanation:

okay so these are fractions so it’s like 4/12 or 8/24 because smaller over longer but you can also do longer over shorter the fractions have to equal each other so you could also do 12/4 = 24/8

Answer: 17.

Step-by-step explanation: 429 divided by 25 = 17.16 so rounding that would just be 17.

The equations that show the properties of the exponents are a, c and d.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

We know that there are few properties that are common to the numbers that appear in the exponential form. We shall look at some of those properties.

1) when we have

[tex](ab)^x[/tex], it is the same as [tex]a^x b^x[/tex]

2) When we have [tex]b^2 \times b^x[/tex], it is the same as b² + x

3) When we have; x^-2, it is the same as 1/x²

These are the basics of the properties of the exponents as we can conclude in the question and these obey the properties of the exponents.

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As x approaches positive infinity, the function m approaches 0.

To determine this:

In both cases, as x becomes very large in either the positive or negative direction, the value of the function m approaches 0. This is because the function m has been transformed in such a way that it approaches 0 as x becomes very large. This could be due to factors such as the presence of a constant or a coefficient that causes the function to approach 0 as x becomes very large, or due to the presence of a term in the function that cancels out other terms as x becomes very large. Regardless of the specific reason, the result is that the function m approaches 0 as x approaches both positive and negative infinity.

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Answer:

1/(2p4)1/3

Step-by-step explanation:

Answer:

B.25.............. uhjii

Answer: 1/5 is shaded becaus e there are 5 sides the second one is 50

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1+3=4

1>0

3>0

so C is correct

Answer: 1/4 and 4

Step-by-step explanation:

Let √x = u

2u^2 - 5u + 2 = 0

Solve for u

(2u-1)(x-2)=0

u = 1/2 and 2

Since you want x, square u to cancel the square root.

(1/2)^2 = 1/4

(2)^2 = 4

Your answers are 1/4 and 4

The following number 8546 can be written in scientific notation as: 8.546*10^3.

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, 650,000,000 can be represented as 6.5 ✕ 10^8 in scientific notation.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.

We were given the value,  8546 by following the explanation above we have 8.546*10^3

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Rodas will be exactly twice as old as her brother after 15 years.

We are trying to find the number of years until Rodas is exactly twice as old as her brother. Let's call this number of years "x".

Currently, Rodas is 25 years old and her brother is 10 years old. We know that Rodas' age in x years will be 25 + x, and her brother's age will be 10 + x. We want to find the value of x such that:

25 + x = 2(10 + x)

Simplifying the equation and solving for x, we get:

25 + x = 20 + 2x

x = 15

So Rodas will be exactly twice as old as her brother after 15 years.

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The question is -

Rodas is 25 years old and her brother is 10 years old. After how many years will Rodas be exactly twice as old as her brother?

The sheet of the rectangular metal is worth $400.

The area of rectangle is given by -

Area = Length x Breadth

{A} = {L} x {B}

Given is that a rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $5.00 per square inch.

The area of the rectangular sheet is -

A = 8 x 10

A = 80 square inches

The total cost of the metal sheet will be -

C{S} = 80 x 5

C{S} = 400

Therefore, the sheet of the rectangular metal is worth $400.

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The only option that represents a fraction not equivalent to 4/8 is; C: 12/32

To get the ratio that is not equivalent to 4/8, we need to first of all reduce 4/8 to the barest minimum. Thus;

Let us divide both numerator and denominator by 4 to get;1/2

Let us access each of the options;

A) 1/2 is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8

B) 9/18;

Divide numerator and denominator by 9 to get 1/2 which is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8

C) 12/32;

Divide numerator and denominator by 4 to get 3/8 which is not the same as the simplified form of 4/8 as seen above and so it is not equivalent to 4/8

D) 18/36;

Divide numerator and denominator by 18 to get 1/2 which is same as the simplified form of 4/8 as seen above and so it is equivalent to 4/8.

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Complete question is;

Which of the following ratios is NOT equivalent to 4/8?

A) 1/2

B) 9/18

C) 12/32

D) 18/36

Answer:Fido  ate   -723 more pies  then the winner  

Step-by-step explanation:

[tex]$47\\-$712= -665\\-665\\- 58= -723[/tex]

Hope this helps

The value of $m$ is $43$.

The equation $6^{-1}\equiv 6^2\pmod m$ implies that $6^{-1}$ is a valid inverse of $6$ modulo $m$. This means that multiplying $6^{-1}$ by $6$ must result in the remainder $1$ when divided by $m$.

To find the value of $m$, we can then set up the equation:

                                $0\equiv 215\pmod m$

and find all possible values of $m$ that make this equation true.

Multiplying $6^{-1}\equiv 6^2\pmod m$ by $6$, we get $1\equiv 6^3\pmod m$, so $0\equiv 215\pmod m$. So, $m$ must be a divisor of $215$. The only 2-digit divisor of $215$ is $43$.

Therefore, $m$ is a two-digit number, the only possible value of $m$ is $43$.

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If we multiply both numerator and denominator of the first ratio by 3, we will get the second ratio, thus, these are equivalent.

For any ratio:

a/b

If we multiply both numerator and denominator by the same real number, we will get an equivalent ratio.

In this case, we can start with the smaller of the two ratios:

1/6.

Now we can multiply both numerator and denominator by 3, then we will get:

(3*1)/(3*6) = 3/18

So yes, the ratios 1/6 and 3/18 are equivalent.

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For the exponential function, y increases by a factor of 3.

To determine this we take:

The linear equation is y = 3*x

when x = 1

y = 3*1 = 3

when x = 2

y = 3*2 = 6

Then as x increases by one unit, y increases by 3 units.

Then the correct statement would be something like:

"For the linear function, y increases by a sum of 3 each time x increases 1"

The exponential function is:

[tex]y = 3^x[/tex]

When x = 1

[tex]y = 3^1 = 3[/tex]

When x = 2

[tex]y = 3^2 = 3*3[/tex]

when x = 3

[tex]y = 3^3 = 3*3*3[/tex]

So when x increases by 1, we multiply the previous value of y by 3.

Then the correct sentence is something like:

"For the exponential function, y increases by a factor of 3".

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"For the linear function, y increases by a sum of 3 each time x increases 1"

"For the exponential function, y increases by a factor of 3".

Now, According to the question:

Let's Know:

What is Exponential Function?

An exponential function is a Mathematical function in the form f (x) = [tex]a^x[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

Now, For the linear function:

y = 3x

when x = 1

y = 3×1 = 3

when x = 2

y = 3×2 = 6

Then as x increases one unit, y increases 3 units.

"For the linear function, y increases by a sum of 3 each time x increases 1"

Now, For the exponential function:

[tex]y = 3^x[/tex]

When x = 1

[tex]y = 3^1[/tex] = 3

When x = 2

[tex]y = 3^2[/tex] = 3×3

when x = 3

[tex]y = 3^3[/tex] = 3×3×3

So when x increases by 1, we multiply the previous value of y by 3.

"For the exponential function, y increases by a factor of 3".

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To determine the entire deposit amount if you want to receive cash back, deduct the amount from the subtotal.

Deposits are the sum of all deposits as of the Closing Date, plus accrued and unpaid interest on those deposits up to the Closing Date's closure of business; exemplars 1 and 2 Deposits and certificates of deposit together make up total deposits.

Current Account, Recurring Accounts, Savings Accounts, and Fixed Deposit Accounts are the four standard types of bank deposits in India. Every type has benefits. Demand and time deposits are the two different sorts. An ordinary bank and savings account is a demand deposit.

A demand deposit account allows you to take money out at any time. Time deposits, such as certificates of deposit, are investments with a specified term and typically fixed interest rates.

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Answer: y = -4.5x

Step-by-step explanation:

        To see if there is a direct variation, we will check to see if there is a direct proportionality constant (usually represented by k). We will find this by dividing the y by x for each row.

                 45/-10 =  -4.5

                 -4.5/1 = -4.5

                 -27/6 =  -4.5

        We see that this direct proportionality constant value is -4.5. This means the equation is;

           y = -4.5x

        We can also check our answer by graphing. I have graphed y = -4.5x and plotted all the given points. See attached. All of the given points do, and should if we are correct, fall on the line.

Answer:

1. The sum of all the three interior angles of a triangle is 180 degrees.

2. The base angles of an isosceles triangle are congruent.

3. The measure of the exterior angle of a triangle is equal to the sum of the corresponding interior angles.

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Answer:

congruent

Step-by-step explanation:

two polygons are similar if their corresponding sides are congruent and their corresponding angle measures are equal