algebra

(3x)^3 3^3 x^3 =????

Answer:

a = 3

Step-by-step explanation:

Collect like-terms:

\( - 16 = a - 19\)

\(a = - 16 + 19\)

\(a = 3\)

Answer: 3

Step-by-step explanation: you take 19 from 3 giving you -16

Answer:

11/12

Step-by-step explanation:

simplify 5500/6000

I first divided by 100 and got

55/60

Then divide by 5 to get

11/12

The line segment FG represent the volume of water decreases in Katherine's water bottle.

From the given graph, x-axis represents the distance from home (km) and the y-axis represents the volume (L).

The line segment FG represent the volume of water decreases in Katherine's water bottle, the line segment HI represent the volume of water increases in Katherine's water bottle and the line segment KL represents there is no change in water level.

Therefore, the line segment FG represent the volume of water decreases in Katherine's water bottle.

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Answer:

x+y

Step-by-step explanation:

3x-(4x-y)+2x

Distribute the minus sign

3x-4x+y+2x

Combine like terms

3x-4x+2x   +y

x+y

Answer:

\( \pink{x + y}\)

Step-by-step explanation:

\( \text{Solve \: the \: brackets } \\ 3x - (4x - y) + 2x \\ 3x - 4x + y + 2x \\ \text{combine \: like \: terms} \\ 3x - 4x + 2x + y \\ x + y\)

x=25,y=15 Not to sure abt this answer but I think I got it

Answer:

B.91

Step-by-step explanation:

Because it says so on the table.

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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Answer:

slope: 2/5

y intercept: 4

Step-by-step explanation:

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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A student would have to score approximately 0.84 standard deviations above the mean to be publicly recognized.

The dispersion of asset prices from their average price, or market volatility, can be calculated with the use of standard deviation. A large standard deviation indicates a dangerous investment when prices move erratically. Low standard deviation indicates stable prices, which lowers the risk associated with investments.

The remaining 79 percent of pupils are not recognised if just the top 21% of students receive public recognition. Since a normal distribution is assumed, the conventional normal distribution and its corresponding z-scores can be used to provide the solution.

The percentage of scores that are higher than a certain z-score is shown by the area under the standard normal distribution to its right. Finding the z-score that represents the top 21% of scores is equivalent to locating the z-score that represents the bottom 79% of scores. By using a calculator or a table of the ordinary normal distribution, we can determine that the z-score for the bottom 79 percent of scores is roughly 0.84.

In order to be officially acknowledged, a student would need to get a score that is roughly 0.84 standard deviations above the mean.

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Answer:

Step-by-step explanation:

Three-fourths of the difference of a number and 7 is negative fifteen:

Answer:

680

Step-by-step explanation:

The number of thousands in the number 680,000 will be 680.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expanded form of a number is given by separating the number into its place.

The number is given below.

⇒ 680,000

Write the number 680,000 in the expanded form, then we have

680,000 = six hundred and eighty thousand

The number of thousands in the number 680,000 will be 680.

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It should be noted that the ratio between the lengths of the two legs is B. 1: ✓3.

It should be noted that the ratio between the lengths of the two legs will be equal to the tangent.

In this case, tan (30°) = ✓3/3

Tan (60°) = ✓3

Therefore, the ratio between the lengths of the two legs of a 30-60-90 triangle will be 1 : ✓3.

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The solutions to the equation 1x² - 16x = 20 are x = 8 + 2√21 and x = 8 - 2√21.

To solve the quadratic equation 1x² - 16x = 20, we need to rearrange it into the standard form ax² + bx + c = 0. Let's simplify the equation step by step:

1x² - 16x = 20

First, move all terms to one side of the equation:

1x² - 16x - 20 = 0

Now we have a quadratic equation in the standard form. To solve it, we can use factoring, completing the square, or the quadratic formula. In this case, factoring may not be straightforward, so let's use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For our equation, a = 1, b = -16, and c = -20. Substituting these values into the quadratic formula:

x = (-(-16) ± √((-16)² - 4(1)(-20))) / (2(1))

Simplifying further:

x = (16 ± √(256 + 80)) / 2

x = (16 ± √336) / 2

x = (16 ± √(16 * 21)) / 2

x = (16 ± 4√21) / 2

Simplifying:

x = 8 ± 2√21

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Answer:

49 feet

Step-by-step explanation:

twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.

We have to calculate the volume of the rectangular prisms:

Volume of a rectangular prism: Length x width x height

Terrarium 1:

V1 = 40 x 25 x20 = 20,000 cm3

Terrarium 2:

V2= 25 x 30 x 20 = 15,000 cm3

Add both volumes:

V1+V2 = 20,000+15,000 = 35,000 cm3

The maximum deposit to Leslie's 401(k) including her employer’s matching contribution would be = $3108

An employer's matching contribution is the amount of money that is being deducted from an employee by the employer at the end of every month from the salary.

The monthly salary of Leslie = $3,200

The maximum contribution to the employer = 10%

The minimum contribution to the employer= 3%

To calculate the maximum amount that she will receive at the end of the month is to deduct 3% of money from her total salary;

= 3/100×3200

= 9600/100

= $96

Therefore the maximum monthly deposit = $3200 -92 = $3108.

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To fill two jars, we need eight cups, as one jar requires four cups, and we are filling up two jars.

If a cup holds 1/4 of a jar, then it would take 4 cups to fill one jar.

To fill two jars, we need to multiply the number of cups required to fill one jar by 2:

4 cups x 2 = 8 cups

Therefore, we need 8 cups to fill two jars.

To understand this concept visually, imagine a jar divided into four equal parts, and each part representing a cup. When you fill up one part or cup, you have filled up 1/4 of the jar. Similarly, when you fill up all four cups, you have filled up one full jar. Therefore, it would take four cups to fill up one jar.

If we want to fill two jars, we would need to repeat the process of filling up four cups for each jar, which would give us a total of eight cups for two jars.

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Answer:

\(190\frac{26}{29}\)

Step-by-step explanation:

____190__

29 | 5346

     -29 (29*100=2900)

________

      2446

     -232 (29*90=232)

________

           26

Therefore, the answer is \(190\frac{26}{29}\)

In the mixed form we can write → 5346 ÷ 29  as  \($184\frac{10}{29} .\\\)

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = \($\frac{5346}{29} = 184\frac{10}{29} .\\\)

Hence, in the mixed form we can write → 5346 ÷ 29  as  \($184\frac{10}{29} .\\\)

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Answer:

Probability = 0.01531

Step-by-step explanation:

Prob (Getting 92 out of 100 germinated seeds) follows binomial probability distribution.

N = Number of seeds = 100. r = Number of success (germination) = 92

r = No. Success = Seed germination, Prob (Success) ie P = 85% =  0.85 , Prob (non success ie non germination) ie Q = 1 - 85% = 15% = 0.15

Probability = N c r . (P)^r . (Q)^(n-r)  

= 100c92 (0.85)^92  (0.15)^8

=  186087894300 (0.000000321026708) (0.000000256289062)

= 0.01531 {Approx}

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer:

Hello how are you

n equals -14

Answer:

-20 / -6 / -4 / 3/10 /  8 / 12.3

Step-by-step explanation:

I hope this helps :)

Answer:

-20, 12.3, 8, -6, -4, 2 3/10

Step-by-step explanation:

i did the test have a good day :D

Answer:

The stated margin of error would account for the possible bias caused by wrong answers due to the closeness of the confidence interval

Step-by-step explanation:

Random sample = 300

99% confidence interval of student who cheat : 0.052 to  0.192

The confidence interval is too close that it only contains the population parameter, this means that almost every subject in the Given population will have to be measured.

Since This is an impractical approach it will lead to untruthful answers been produced which will cause bias. hence the stated margin of error would account for the possible bias caused by wrong answers.

The area of a circle is given by the following formula:

where r is the lenght of the circle's radius.

In this case, we have a radius of 12 units, so the area will be

We are however, asked to find the area of the shaded region, which is encased within a square. From the image we can see that the circle's radius is half the length of a side of the square. In other words, the square's sides measure 24 units.

The area of a square is given by

where s is the lenght of the sides of the square. In this case,

Now, in order to determine the area of the shaded region, we subtract the area of the circle from the area of the square:

So the area of the shaded region is 123.84 square units.

Answer:

Step-by-step explanation:

    A,  use  three_digite  rounding  arithmetic  to compute  13- 6 and determine  the absolute,relative ,and percentage errors.

tepeat part (b) using  three – digit chopping arithmetic.

Answer:

Clyde has 14 pencils in his backpack

Step-by-step explanation:

Let x be the number of pencils that Clyde has in his backpack.

We can translate this statement “Steve hade 17 pencils in his backpack. this represents 5 more than 6/7 the number of pencils that Clyde has in his backpack” mathematically like this :

\(17=5+\frac{6}{7} x \\\\ \Longleftrightarrow 17-5=\frac{6}{7} x \\\\ \Longleftrightarrow 12=\frac{6}{7} x \\ \\\Longleftrightarrow x=\frac{12\times 7}{6} =14\)

Let he has n pencils

So

\(\\ \rm\hookrightarrow \dfrac{6n}{7}+5=17\)

\(\\ \rm\hookrightarrow \dfrac{6n}{7}=12\)

\(\\ \rm\hookrightarrow 6n=84\)

\(\\ \rm\hookrightarrow n=14\)

Given that the U.S. Census Bureau needs to estimate the median income of males in the U.S, and they collect incomes from 2500 males:

• You need to remember that, by definition, Statistics is a study in which data is collected, analyzed, and then this is used to make a conclusion.

In this case, you can identify that the Statistic is the income obtained from the sample selected.

• By definition, the Population is the set of all the values or the set of all the individuals selected (the entire group).

In this case, as the U.S. Census Bureau needs to estimate the median income of males in the U.S, the population is the set of incomes of all males in the U.S.

• By definition, the Sample is a part of the Population.

In this case, the sample is the set of incomes of 2500 males in the U.S.

• By definition, the Individual is the object selected.

In this case, the Individual selected is a male in the U.S.

• By definition, the Variable is the observation obtain from the individual selected.

In this case, it is the Median income of males in the U.S.

• By definition, the Parameter is a value obtained from a population.

In this case, is the Median income of 2500 males in the U.S.

Hence, the answer is:

• Statistics: c.

• Sample: d.

• Variable: b.

• Population: e.

• Individual: a.

• Parameter: f.