is the relationship between the time spent swimming and the number of weeks proportional? the points a straight line that through the orgin.

Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.

You may also hear the simplest form called "lowest term."

In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:

Input

(8 x^15)^(-1/3)

Value

1/(2 (x^15)^(1/3))

1/(2x^5)

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Answer: A, D, B

Step-by-step explanation:

Answer:A,B,D

yw :):):)

When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient. This is false.

It should be noted that a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, as well as non-negative integer exponentiation of variables

Dividing polynomials simply requires that a particular factor becomes the divisor and the other factor becomes the quotient.

Therefore, it's false.

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When dividing with polynomials one factor becomes the dividend and the other factor becomes the quotient.

Answer:

56

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The GCF of 98 and 56 is 14

The number of hours the polls open on the election day was 9 hours

From the question, we are to determine how long the polls opened on the election day

From the given information,

6,504 people vote in the advance polls for a riding prior to the election

and

A total of 10,167 people voted in that riding

Thus,

The number of people that voted on the election day = 10167 - 6504

Number of people that voted on the election day = 3663

Also, from the given information

The polling stations for the riding record an average of 407 voters per hour

Then,

Number of hours the polls open on election day = Number of people that voted on the election day ÷ Average number of voters per hour

Number of hours the polls open on election day = 3663 ÷ 407

Number of hours the polls open on election day = 9 hours

Hence, the number of hours the polls open on the election day was 9 hours

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Answer: z = 23

Subtract 32 and 9, which equals 23

So your equation is 23 + 9 = 32

Step-by-step explanation:

Simplifying (4x)3 gives 64x3

Answer:

option B

Step-by-step explanation:

-2x^2(4x) -2x^2(-3)

= -8x^3+6x^2

Answer:

14641

Step-by-step explanation:

Exponent rule

[tex]\mathrm{(-a)^n=a^n(when~n~is~even)}[/tex]

[tex]\left(-11\right)^4=11^4[/tex]

Multiply

[tex]11^4 = 11 \times 11 \times 11\times 11 = 14,641[/tex]

After adding the numbers from 1 to 10, we get the result as 55.

We are given the numbers from 1 to 10

We need to find the sum of the numbers.

Adding these numbers, we will get that:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10

= 3 + 7 + 11 + 15 + 19

= 10 + 26 + 19

= 29 + 26

= 55

Therefore, we get that, after adding the numbers from 1 to 10, we get the result as 55.

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Answer:

inequality

Step-by-step explanation:

Answer and Step-by-step explanation:

Considering the definition of an disparity, the imbalance that can be utilized to decide x is 20x + 10≤ 80 Definition of inequality An imbalance is the existing disparity between two arithmetical expressions, associated through the signs: greater than >. less than <. less than or rise to to ≤. greater than or break even with to ≥. An disparity contains one or more obscure values ​​called questions, in expansion to certain known data. Solving an disparity comprises of finding all the values ​​of the obscure for which the disparity connection holds. This case A rental car company charges $20 per day to lease a car and $0.10 for each mile driven. Addison needs to lease a car, knowing that: She plans to drive 100 miles. She has at most $80 to spend. On the other hand, x speaks to the most extreme number of days Alyssa can manage to lease for whereas remaining inside her budget. Then, the disparity that can be utilized to decide x is: 20x + 0.1×100≤ 80 So: 20x + 10≤ 80 In rundown, the disparity that can

Answer:

44pigs

Step-by-step explanation:

12/3=4.

4*11=44

The ratio shows how many times one value is contained in another value.

The number of pigs is 44.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The number of pigs: the number of goats = 11:3

Let the number of pigs = 11x

Let the number of goats = 3x

The number of goats = 12

This means,

3x = 12

Divide 3 on both sides.

x = 12/3

x = 4

Now,

The number of pigs:

= 11x

= 11 x 4

= 44

Thus,

The number of pigs is 44.

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Not all rational numbers a and b satisfy the equation |a+b|=|a|+|b|.

As a result, |a+b|=|a|+|b|.

If |a+b|=|a|+|b| for all rational numbers a and b, we must verify this.

P/Q is the format for rational numbers, where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, integers, fractions of integers, and decimals are all examples of rational numbers (terminating decimals and recurring decimals).

Now,

a=-3 and b=5

|-3+5|=|-3|+|5|

⇒2≠8

A = 2 and B = 4

|2+4|=|2|+|4|

⇒6=6

As a result, we realized from the examples above that |a+b|=|a|+|b| isn't always true.

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According to the question, the given rational expression is as follows:

Rational expression = [tex]\frac{2x}{4x^{2} -2x}[/tex]

To simplify the given expression by performing factors on denominator:

[tex]4x^{2}-2x = 2x(2x-1)[/tex]

Substituting these factors in the final expression, we get:

Rational expression = [tex]\frac{2x}{4x^{2} -2x}=\frac{2x}{2x(2x-1)}=\frac{1}{2x-1}[/tex]

Therefore, the final answer for the given expression is [tex]\frac{1}{2x-1}[/tex].

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The population in the city in 2020 to the nearest 100 is 235242.65.

The population of the city was 228,000 in the year 2010.

From 2010 to 2015, the population grew by 7.7%.

The population decreases by 4.2 % from 2015 o 2020.

Initially, the population of the city is 228,000.

From 2010 to 2015,

The city's population increased by 7.7%.

7.7% of 228,000 = ( 7.7 / 100) × 228,000 = 17556

The population of the city from 2010 to 2015 = 228,000 + 17556 = 245556

From 2015 to 2020,

Now, the city's population decreases by 4.2%.

4.2% of 245556 = ( 4.2 /100) × 245556 = 10313.352.

Therefore,

The population of the city in the year 2020 = 245556 - 10313.352 = 235242.648

Therefore, the population in the year 2020 to the nearest 100 is 235242.65.

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Answer:

235200

Step-by-step explanation:

The outliers of the given data set are 2 and 12.

The given data set is 2, 4, 6, 8, 10 and 12.

Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph

A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data. For example in the scores 25,29,3,32,85,33,27,28 both 3 and 85 are "outliers".

In the given data set 2, 4, 6, 8, 10 and 12.

2 is the lowest observation and 12 is the highest observation.

So, 2 and 12 are two extreme values and these two are outliers.

Therefore, the outliers of the given data set are 2 and 12.

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The first four terms of the sequence are 7, 17, 37 and 77, respectively.

Sequences can be generated by using recursive formulas, that is, formulas that are in terms of the previous elements of a sequence. Herein we find a case of sequences by using recurrence formulas, whose procedure is shown below:

n = 1

f(1) = 7

n = 2

f(2) = 2 · f(1) + 3

f(2) = 17

n = 3

f(3) = 2 · f(2) + 3

f(3) = 37

n = 4

f(4) = 2 · f(3) + 3

f(4) = 77

The first four terms of the sequence are 7, 17, 37 and 77, respectively.

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Answer:

molly is baking cookies. she baked 45 cookies and she needs to put a certain amount in 5 different boxes so that way everyone has an equal amount. how much cookies need to be in each box

Step-by-step explanation:

Answer:Joe is feeding cows and he has 45lbs of grass and there are 5 cows how much does each cow get fed?

Step-by-step explanation:

Answer:

а)11/12 I believe the answer is correct

Step-by-step explanation:

your solution is written

Answer:

q = -20

Step-by-step explanation:

The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

7q – 20 = – 10q + 20 + 19q

Simplify the equation, then we have

7q – 20 = – 10q + 20 + 19q

– 19q + 10q + 7q = 20 + 20

– 2q = 40

q = 40 / (–2)

q = – 20

The solution of the equation will be negative 20. Then the number of solutions to the equation will be one.

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Answer:

-13/18

Step-by-step explanation:

You have here a multiplication and a division in your expression. You need to multiply and divide in the order that they appear from left to right, according to the order of operations. So multiply first.

To multiply two fractions, you just multiply the top×top and bottom×bottom.

You could simplify it at this point but I waited to the end to simplify. See image.

Next, divide. If you have one or two fractions in a division problem, rewrite the division as a multiplication using Keep-Change-Flip! Keep the first term. Change divide to multiply. And Flip the second term (use the reciprocal is the math word for it.) See image.

Last, simplify.

Answer:

f(4) = 98

Step-by-step explanation:

Substitute any x values for 4, and then solve.

f(4) = 22(4) + 10

f(4) = 88 + 10

f(4) = 98

Answer:

D is the correct answer!!

Answer: Assuming that it matters which one is president and which is vice president, and the same person cannot be assigned both posts, the answer is 30*29, or 870.

Step-by-step explanation:

Using algebraic expressions and equation, there are 26 kittens and 31 chickens in the yard.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

Given that there are 57 kittens and chickens in the yard, we can express this as:

x + y = 57     ⇒     x = 57 - y     (equation 1)

where x = number of kittens

y = number of chickens

If a kitten has 5 claws on each of its 4 paws, and a chicken has 4 claws in each of its 2 feet, and they all have 768 claws, then

5(4)x + 4(2)y = 768     ⇒     20x + 8y = 768     (equation 2)

Substitute equation 1 to equation 2 and solve for y.

20(57 - y) + 8y = 768

1140 - 20y + 8y = 768

-12y = -372

y = 31

number of chickens = 31

Substitute the value of y in either of the two equations and solve for x.

x = 57 - y

x = 57 - 31

x = 26

number of kittens = 26

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7800  is  the value of each function after five years.

With an example, what is compound interest?

The formula is: A = P( 1 + r )ⁿ

r = 0.09

As here the value of the car depreciates every year, so we need to plug the value of  as negative. So,  - 0.09

Now plugging the above values into the formula, we will get

A = 12500 ( 1 - 0.09)⁵

A = 12500 * ( 0.91)⁵

A = 12500 *  0.6240321451

A =  7800.40181375  ≈ 7800

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45 feet

Im writing this extra because the app said the answer was to short :)

Answer:

2/3.

Step-by-step explanation:

α + β + γ = -b/a

αβ + βγ + γ α = c/a

αβγ = -d/a

These are the relation between the roots α, β and γ and the coefficients of the cubic equation:

P(x) = ax^3 + bx^2 + cx + d  

Our equation is:

P(x) = 4x³ – x² − 6x + 9

So, for the above equation:

a + b + c = -(-1)/4 = 1/4

ab + ac + bc = -6/4 = -3/2

abc = -9/4.

1/a + 1/b + 1/c

= (bc + ac + ab) / abc

So, plugging in the above values:

this = (-3/2) / (-9/4)

= 3/2 * 4/9

= 12/18

= 2/3.

You can multiply two matrices only if their dimensions are compatible. That means the number of columns in the first matrix is ​​equal to the number of rows in the second matrix.

The resulting matrix, called the matrix product, has the number of rows of the first and the range of columns of the second matrix. The result of matrices A and B is denoted as AB.

The definition of matrix multiplication means row-by-column multiplication, where the entry in the ith row of A is multiplied by the corresponding entry in the jth column of B, and the results are added. Matrix multiplication is not commutative. If neither A nor B is identity matrices, then AB≠BA.

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