what is ___x5=20 3x _____=6 2+ ____=16 3x____=24 9x____=34 12+____=2

Answer:

452.5

Step-by-step explanation:

9050 x 0.025

226.25 x 2

452.5

Answer:

c=7

Step-by-step explanation:

−5c+5=4c−58

Subtract 4c from both sides.

−5c+5−4c=4c−58−4c

−9c+5=−58

Subtract 5 from both sides.

−9c+5−5=−58−5

−9c=−63

Divide both sides by -9.

-9c/-9= -63/-9

c=7

The coefficient of the x term in the expansion of f[x] best reflects the behavior of the function for x's close to 0.

The behavior of a function for x values close to 0 can be understood by examining its expansion in powers of x. When a function is expanded in a power series, each term represents a different order of approximation to the original function. The coefficient of the x term, which is the term with the lowest power of x, provides crucial information about the behavior of the function near x = 0.

In the expansion of f[x] = a0 + a1x + a2x² + ..., where a0, a1, a2, ... are the coefficients, the term with the lowest power of x is a1x. This term captures the linear behavior of the function around x = 0. It represents the slope of the function at x = 0, indicating whether the function is increasing or decreasing and the rate at which it does so. The sign of a1 determines the direction of the slope, while its magnitude indicates the steepness.

By examining the coefficient a1, we can determine whether the function is increasing or decreasing, and how quickly it does so, as x approaches 0. A positive value of a1 indicates that the function is increasing, while a negative value suggests a decreasing behavior. The absolute value of a1 reflects the steepness of the function near x = 0.

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The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of big sector = (60/360) * π(10)² = (50π /3) cm²

Area of small sector = (60/360) * π(x)² = (x²π /6) cm²

Unshaded area = (x²π /6) cm²

Shaded area = (50π /3) - (x²π /6) = (100π - x²π) /6

Shaded area = unshaded area

(100π - x²π) /6 = (x²π /6) cm²

x = 7.07

The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

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The length of x in the sector is 7.08 cm.

area of a sector = ∅ / 360 × πr²

where

Therefore,

area of a sector = 60 / 360 × π × 10²

area of a sector = 60 / 360 × π × 100

area of a sector = 6000 / 360 π

Hence,

area of the unshaded portion = 6000 / 360 π ÷ 2 = 6000π / 720 =  26.1666666667 = 26.2 cm

Hence,

26.2 = 60 / 360 × 3.14 × x²

x² = 26.2 / 0.52333333333

x = √50.0637261552

x = 7.07557064836

x = 7.08 cm

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Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

The number of x = 8 small boxes sent and y = 5 large boxes sent.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

A publisher needs to send many books to a local book publishing retailer and will send the books in a combination of small and large boxes.

Each small box can hold 20 books, and each large box can hold 40 books. A total of 13 boxes were sent, which can hold 360 books altogether.

To solve graphically a system of equations in order to determine the number of small boxes sent, x, and the number of large boxes sent, y:

Now, the system of equations,

x + y = 13  {Red Line 1}

20x + 40y = 360 {Blue line 2}

The intersecting point of the lines is the required result.

That is,

x = 8 and y = 5.

The graph is given in the attached image.

Therefore, the solution is x = 8 and y = 5.

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The ratio of the area to the perimeter of an equilateral triangle with side length s is (sqrt(3)s²/4)/(3s), which simplifies to sqrt(3)s/12.

To calculate the ratio of the area to the perimeter, we first find the area and perimeter of the equilateral triangle. The area of an equilateral triangle with side length s can be found using the formula A = (sqrt(3)s²)/4. The perimeter is the sum of all side lengths, so for an equilateral triangle, it is P = 3s.

Now, we find the ratio by dividing the area by the perimeter: (sqrt(3)s²/4)/(3s). We can simplify this expression by cancelling the s term from both the numerator and the denominator: sqrt(3)s/12. This is the ratio of the area to the perimeter of an equilateral triangle in simplest radical form.

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Answer:

the distance between the two points are 2√85 or18.43908891

Answer:

x≥-5

Step-by-step explanation:

x

Answer:

180g of eggs

Step-by-step explanation:

divide 120 by 2 = 60

then times 60 by 3 = 180g

Answer:

13

Step-by-step explanation:

If I read this correctly:

you want to know the square root of 13²?

That would be 13

Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

Answer:

x = 5

Step-by-step explanation:

The solution to the equation ( 1/4 )x - ( 3/4 ) = ( 1/2 ) is x = 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be ( 1/4 )x - ( 3/4 ) = ( 1/2 )

Now , on simplifying the equation , we get

( 1/4 )x - ( 3/4 ) = ( 1/2 )

Adding 3/4 on both sides of the equation , we get

( 1/4 ) x = 1/2 + 3/4

( 1/4 ) x = 5/4

Multiply by 4 on both sides of the equation , we get

x = 5

And , substituting the value of x = 5 in the equation , we get

( 1/4 )x - ( 3/4 ) = ( 1/2 )

5/4 - 3/4 = 1/2

2/4 = 1/2

1/2 = 1/2

Hence , the solution to the equation ( 1/4 )x - ( 3/4 ) = ( 1/2 ) is x = 5

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Answer:

x=u+k

Step-by-step explanation:

Answer:

x = k+u

Step-by-step explanation:

u = x - k

+k       +k

u + k = x

Hope this helps!

The volume, of the cement used to make the sidewalk is 8 ft³

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given that, James is using cement to make a new sidewalk and new steps,

He will make a new rectangular sidewalk that is 8 feet long, 4 feet wide, and 0.25 foot thick.

Volume = length x width x height

Volume = 8 x 4 x 0.25 = 8 ft³

Hence, the volume, of the cement used to make the sidewalk is 8 ft³

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 10380\\ P=\textit{original amount deposited}\\ r=rate\to 4.25\%\to \frac{4.25}{100}\dotfill &0.0425\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &25 \end{cases}\)

\(10380 = P\left(1+\frac{0.0425}{1}\right)^{1\cdot 25} \implies 10380=P(1.0425)^{25} \\\\\\ \cfrac{10380}{(1.0425)^{25}}=P\implies 3666.87\approx P\)

Answer:

B. 4 cups

Step-by-step explanation:

trust me

A point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.To find the distance traveled by a point on the rim of a wheel, we need to first calculate the circumference of the wheel. The circumference is equal to the diameter of the wheel multiplied by pi (π).

However, since we are given the radius of the wheel, we can simply multiply the radius by 2 and then by pi to get the circumference.

The formula for calculating the circumference of a circle is:

Circumference = 2 × pi × radius

C = 2 × pi × r

C = 2 × 3.14 × 1 (since the radius is given as one meter)

C = 6.28 meters

Now that we know the circumference of the wheel, we can easily calculate the distance traveled by a point on the rim of the wheel if it makes 35 rotations.

The formula for calculating the distance traveled by a point on the rim of a wheel is:

Distance = Circumference × number of rotations

D = C × n

D = 6.28 × 35

D = 219.8 meters

Therefore, a point on the rim of a wheel with a radius of one meter will travel 219.8 meters if the wheel makes 35 rotations.

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Answer:

The slope is -1/2

Step-by-step explanation:

\(m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{k-2k}{3k-k}\\ \\m=\frac{-k}{2k}\\ \\m=-\frac{1}{2}\)

(a) The probability that all 11 women dislike their mother-in-law is approximately 0.209.

(b) The probability that none of the 11 women dislike their mother-in-law is approximately 0.002.

(c) The probability that at least nine of the 11 women dislike their mother-in-law is approximately 0.995.

(d) The probability that no more than eight of the 11 women dislike their mother-in-law is approximately 0.996.

This problem can be approached using the binomial distribution, which models the number of successes in a fixed number of independent trials with the same probability of success.

Let p be the probability that a randomly chosen married woman dislikes her mother-in-law, based on the sociologists' claim. Then, we have p = 0.8.

(a) To find the probability that all 11 women dislike their mother-in-law, we can use the binomial distribution with n = 11 and p = 0.8:

P(X = 11) = (11 choose 11) × 0.8^11 × 0.2^0 ≈ 0.209

(b) To find the probability that none of the 11 women dislike their mother-in-law, we can use the binomial distribution again

P(X = 0) = (11 choose 0) × 0.8^0 × 0.2^11 ≈ 0.002

(c) To find the probability that at least nine of the 11 women dislike their mother-in-law, we can use the complement rule and find the probability that fewer than nine dislike their mother-in-law

P(X < 9) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X < 9) ≈ 0.005

Therefore, the probability that at least nine of the 11 women dislike their mother-in-law is approximately 1 - 0.005 = 0.995.

(d) To find the probability that no more than eight of the 11 women dislike their mother-in-law, we can again use the binomial distribution and add up the probabilities of X = 0, 1, ..., 8:

P(X ≤ 8) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X ≤ 8) ≈ 0.996

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The person would save $404 by choosing the HMO for physical therapy sessions.

Total cost refers to the overall expense incurred by a business or an individual to produce or acquire a product or service.

Let's first calculate the total cost of physical therapy sessions without insurance:

Total cost = 12 sessions * $145 per session = $1740

With the insurance policy, the person has to pay a deductible of $580 first. After that, the insurance will cover 80% of the remaining cost. So, the person pays:

($1740 - $580) * 0.2 = $232

Therefore, with the insurance policy, the person pays $580 + $232 = $812 for 12 physical therapy sessions.

If the person opts for the HMO instead, the cost would be $34 per session, so:

Total cost = 12 sessions * $34 per session = $408

Therefore, the person would save:

$812 (with insurance) - $408 (with HMO) = $404

So, the person would save $404 by choosing the HMO for physical therapy sessions.

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Answer:

#5

Ratio of corresponding sides of ΔACE and ΔBCD:

The triangles have similar sides and common included angle C.

#6

Let's verify if the sides (from the least to greatest length) have same ratio:

The ratios are same, it means:

No, multiplying by 10x10x10 is not the same as multiplying by 10 factors of 3.

Multiplying by 10x10x10 is not equivalent to multiplying by 10 factors of 3. When you multiply a number by 10, you're essentially adding a zero to the end of it, shifting all the digits one place to the left. So, multiplying by 10 three times (10x10x10) adds three zeros to the original number. However, when you multiply by 10 factors of 3, you are essentially multiplying the number by 3 ten times consecutively. This results in a different outcome.

For instance, if you start with the number 5 and multiply by 10x10x10, you would get 5,000. On the other hand, multiplying by 10 factors of 3 would yield a much larger number, 59,049, because each multiplication by 3 amplifies the result. Therefore, the two operations are not equivalent.

Therefore, multiplying by 10x10x10 and multiplying by 10 factors of 3 yield different outcomes. The former adds three zeros to the original number, while the latter multiplies the number by 3 repeatedly, resulting in a much larger value. It's crucial to understand the distinction between these operations to avoid confusion and accurately calculate mathematical expressions.

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Answer:

4,000

Step-by-step explanation:

Answer:

448 miles

Step-by-step explanation:

If 5 hours = 320 miles

then 7 hours = ?

7 hours will give more so if more less divide

7hours ÷5hours × 320 miles

hours will cancel out

= 7÷5×320 miles

= 448 miles

Hence,Carla will travel 448 miles in 7 hours

Without additional information, it is not possible to determine the measure of 5. The angles formed by the traversal and the parallel lines can have various measures depending on the specific arrangement of the lines and the traversal.

Answer: I'm going to have to agree with the person whom of which answered before me. It would be a vain attempt to try to find the answer to this conundrum without further information.

Step-by-step explanation: