whats the distributive property​

Answer:

a) 740 × 233 = 172420

In the number 740, there's an zero being added so the answer will have a zero too.

b) 74 x 2.33 = 172.42

In the number 2.33, the decimal place is two to the left so the answer needs to have a decimal that is to to the left.

Answer:

The answer is 3,375

Step-by-step explanation:

5 x 3=15

15 to the 3rd power is 15 x 15 x 15

15 x 15 x 15= 3,375 :)

Answer:

x= (1,8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3≤ 6x - 9                 Add 9 to both sides

-3 + 9 ≤ 6x               Combine left

6 ≤ 6x                       Divide by 6

6/6 ≤ 6x/6

1 ≤ x

6x - 9 < 39               Add 9 to both sides

6x < 39 + 9              Combine

6x < 48                     Divide by 6

6x/6 < 48/6

x < 8

So the inequality is

1 ≤ x < 8

I think that is what you want. You have to express it as a combined inequality.

After one hour (60 minutes, the value of the temperature is 550 degrees.

Temperature is the degree of hotness and coldness that a body contains.

In this case, after graph, after 12 minutes the coffee is about 110 degrees. The temperature per minute will be:

= 110 / 12

= 9.167° per minute.

Therefore, the temperature after 1 hour which is 60 minutes will be:

= Time × Rate

= 60 × 9.167°

= 550°

The temperature is 550°.

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Classical test theory holds that differences in test scores are due to two factors: true score and error score. True score is the amount of a trait or ability that a person has, while error score is the amount of variance in the test score due to factors such as measurement error and random fluctuation.

The repeated use of the same test can result in different scores due to the presence of error score, which is caused by measurement and random error.

Classical test theory explains the differences in test scores due to the presence of two factors: true score and error score. True score is the amount of a trait or ability that a person has, while error score is the amount of variance in the test score due to factors such as measurement error and random fluctuation. The repeated use of the same test can result in different scores due to the presence of error score, which can be caused by minor changes in the test environment, the test taker's state of mind, or random fluctuations in the test results. This means that while the true score may remain the same, the actual test score may vary due to the presence of error score.

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Loan Amount = $200 * (1 - (1 + 0.06)^(-48)) / 0.06

What is Variable?

Arguably, the true value function defined over the sample space of a random experiment is called a random variable. This means that the values ​​of the random variable correspond to the results of a random experiment. Random variables can be either discrete or continuous. In this article we will discuss different types of random variables.

Patrick is looking for the maximum loan amount he can afford, which corresponds to the maximum price of the car he can purchase today. Let's calculate the loan amount.

The loan amount can be determined using the formula for the present value of an annuity:

Loan Amount = Monthly Payment * (1 - (1 + Monthly Interest Rate)^(-Number of Payments))) / Monthly Interest Rate

Here, the Monthly Payment is $200, the Monthly Interest Rate is 6% (or 0.06), and the Number of Payments is 4 years * 12 months/year = 48 months.

Substituting these values into the formula:

Loan Amount = $200 * (1 - (1 + 0.06)^(-48)) / 0.06

Calculating this expression will give us the maximum loan amount, which represents the maximum price of the car Patrick can purchase today while making $200 monthly payments over a 4-year period with a 6% monthly interest rate.

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Answer:

1.) y= \(\frac{1}{6} x\) + \(\frac{13}{6}\)

2.) y = \(\frac{4}{5} x\) - 3

3.) y = 3x - 2

4.) y = \(\frac{13}{7} x\) - 8

5.) y = \(\frac{1}{4} x\) + 4

6.) y = 9x - 1

7.) y = -\(\frac{1}{2} x\) - 4

8.) y = -\(\frac{10}{3} x\) + 2

9.) y = \(\frac{7}{8}x\) - 1

10.) y = -5

Answer: 0.67

Step-by-step explanation:

Answer:

3+1/6a

Step-by-step explanation:

3/2-1/2a+2/3a+3/2

3/2+3/2-1/2a+2/3a

6/2-1/2a+2/3a

3-1/2a+2/3a

3-3/6a+4/6a

3+1/6a

the simplified value of the given expression is 3 + 1/6a.

One strategy to promote uniformity in work efforts, costs, and time is to simplify procedures. It lessens diversity and variation that is damaging, unnecessary, or meaningless. PEMDAS stands for parenthesis, exponents, multiplication, division, addition, and subtraction. Given two or more operations in a single statement, the order of the letters in PEMDAS tells you what to compute first, second, third, and so on, until the computation is complete.

Given, an algebraic expression 3/2-1/2a+2/3a+3/2

Simplification of the expression:

=>  3/2-1/2a+2/3a+3/2

compare the values with the same variables

=> 3/2 +3/2 +2/3a -1/2a

=> 3 + a(2/3 -1/2)

=> 3 + a1/6

therefore, the simplified value of the given expression is 3 + 1/6a.

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\(x {}^{ - 4} \\ = \frac{1}{x {}^{4} } \\ \)

a^-n = 1/a^n

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Answer

X-2y = 2

3x + y = 6

Ox=-2

Ox=0

Ox=2

Ox=3

= 0

Step-by-step explanation:

easy

The x-coordinate of the solution to the given system of equations is x=2. Therefore, option C is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are x-2y=2 and 3x+y=6.

Here, x-2y=2 -----(i) and 3x+y=6 -------(ii)

Substitute x=2+2y in equation (ii), we get

3(2+2y)+y=6

6+6y+y=6

7y=0

y=0

Substitute y=0 in equation (i), we get

x-2(0)=2

x=2

Therefore, option C is the correct answer.

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If Dr Sanchez increased his sample size to 1,000, it is most certain that the margin of error would become smaller.

The margin of error is the measure of the amount of random sampling error that exists in a survey's results. The larger the sample size, the smaller the margin of error. This is because a larger sample size reduces the amount of random variation in the data, making the estimates more accurate.

If Dr. Sanchez increases his sample size from 500 to 1,000, the margin of error will become smaller because the sample size is directly proportional to the margin of error.

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The cost price of a swim-suit, C.P.=$8

Option 1:

If the selling price is marked up by 25%, the new selling price is

\(S.P.=C.P.+C.P.\times 25\%\)

\(=8+8\times\frac{25}{100}\)

=8+2

=10

So, the selling price will be $10 which is the same as the mentioned selling price.

Hence, this option is correct.

Option 2:

If the selling price is marked up by 40%, the new selling price is

\(S.P.=C.P.+C.P.\times 40\%\)

\(=8+8\times\frac{40}{100}\)

=8+3.20

=11.20

So, the selling price will be $11.20 which is not the same as the mentioned selling price, $7.50.

Hence, this option is wrong.

Option 3:

If the selling price is marked up by 55%, the new selling price is

\(S.P.=C.P.+C.P.\times 55\%\)

\(=8+8\times\frac{55}{100}\)

=8+4.40

=12.40

So, the selling price will be $12.40 which is not the same as the mentioned selling price, $5.50.

Hence, this option is wrong.

Option 4:

If the selling price is marked up by 70%, the new selling price is

\(S.P.=C.P.+C.P.\times 70\%\)

\(=8+8\times\frac{70}{100}\)

=8+5.60

=13.60

So, the selling price will be $13.60 which is the same as the mentioned selling price.

Hence, this option is correct.

Option 5:

If the selling price is marked up by 75%, the new selling price is

\(S.P.=C.P.+C.P.\times 75\%\)

\(=8+8\times\frac{75}{100}\)

=8+6

=14

So, the selling price will be $14 which is the same as the mentioned selling price.

Hence, this option is correct.

Answer:    A,D,E

Step-by-step explanation:

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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Step-by-step explanation:

p= 2(L+w)

= 2(2x+y)

or

P=L+L+L+L

=2x+y+2x+y

EXPLANATION

The area of the figure can be obtained by applying the following relationship:

Where b=base and height=h

In order to find the height, we need to apply the trigonometric relationship:

Multiplying both sides by 6.4:

Solving the argument:

Switching sides:

Now that we have the height, we can compute the area as follows:

The answer is 53.24 squared inches.

Given :

A car straight line depreciates monthly over time.

After 8 months the car is worth $29,520 and after 18 months the car is worth $26,420.

To Find :

How much does this car depreciate each month.

Solution :

Let, depreciation of car each month is D.

\(\text{Depreciation }=\dfrac{\text{Difference in prize}}{\text{Number of months}}\)

\(D = \dfrac{29520-26420}{18-8}\\\\D = \dfrac{3100}{10}\\\\D = \$310\)

Therefore, depreciation of car each month is $310 .

Hence, this is the required solution.

Answer:

1. 4

Step-by-step explanation:

24 - 20, if you add the the square then the rectangle, then subtract

Step-by-step explanation:

2x + 1 + x - 13 = 180° because these angles are supplementary

3x - 12 = 180°

3x = 180 + 12

3x = 192 divide both sides by 3

x = 64

2x + 1 ➡ 2 × 64 + 1 = 129°

x - 13 ➡ 64 - 13 = 51°

Answer:

r² = (2 - (-1))² + (1 - 4)² = 3² + (-3)² = 9 + 9 = 18

(x + 1)² + (y - 4)² = 18

The general form of the equation of the circle is `(x − h)² + (y − k)² = r²`, where the center of the circle is at `(h, k)` and the radius of the circle is `r`.

Given center: `(h, k) = (-1, 4)`Given solution point: `(x, y) = (2, 1)`Let the radius be `r`.

Then, using the distance formula, we can calculate the radius `r`.Distance between center and solution point is `r`i.e. `(x − h)² + (y − k)² = r²

Plugging in the values, we get:`(2 − (-1))² + (1 − 4)² = r²`

Solving for `r`, we get:`3² + (-3)² = r²`

⇒ 18 = r²

⇒ r = ±sqrt(18)`

The center of the circle is `(h, k) = (-1, 4)` and radius of the circle is `r = ±sqrt(18)`.

Hence, the equation of the circle in the general form is`(x − (-1))² + (y − 4)² = (±sqrt(18))²`

On simplifying, we get:`(x + 1)² + (y − 4)² = 18`Therefore, the required equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

Thus, the equation of the circle in the general form is `(x + 1)² + (y − 4)² = 18`.

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Las funciones trigonométricas se utilizan fundamentalmente en la solución de triángulos

rectángulos, recordando que todo triángulo rectángulo tiene un ángulo de 90° y sus ángulos

interiores suman 180°. La notación que se acostumbra es la siguiente.

Answer:

162

Step-by-step explanation:

Since the ratio is 3, the terms are 3 times the term before.

So the answer is 2*3^4 = 162

The correct statement regarding R-squared is: "Its value is always between -1.0 and 1.0. A value of 1.0 indicates the line is a perfect fit for the data."

R-squared (²) is a statistical measure that represents the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. The value of R-squared ranges from -1.0 to 1.0.

A value of 1.0 indicates that the regression line perfectly fits the data, while a value of 0 indicates that the model cannot explain any variance in the dependent variable. A negative value indicates that the model is worse than just using the mean of the dependent variable.

Therefore, the best fit line for the data is the one that has an R-squared value closest to 1.0, indicating that it explains a high percentage of the variance in the dependent variable based on the independent variable(s). It is important to note that an R-squared value above 1.0 is not possible and may indicate a mistake in the calculations.

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The frequency of scores falling into this interval is 11. Therefore, 11 students scored at least 1,800 but less than 2,000.

A frequency distribution is a way to organize and present data by grouping it into intervals or classes and showing how many observations fall into each interval.

In this case, the data given represents the raw scores of thirty students who took the SAT on the same Saturday.

To create a frequency distribution, we can group the data into classes of 1,400 up to 1,600, 1,600 up to 1,800, 1,800 up to 2,000, and so on.

To create this frequency distribution, we can use the Excel data file provided and create a histogram. The histogram will show the frequency of scores falling into each class or interval.

The interval 1,800 up to 2,000 will contain the scores 1,800, 1,810, 1,820, 1,830, 1,840, 1,870, 1,900, 1,910, 1,950, 1,950, 1,980, and 2,000.

To find how many students scored at least 1,800 but less than 2,000, we need to add up the frequencies in this interval.

In conclusion, creating a frequency distribution helps to organize and summarize data. By grouping the data into intervals or classes, we can better understand the distribution of the data and answer questions related to it.

In this case, we were able to determine how many students scored at least 1,800 but less than 2,000 by using the frequency distribution created.

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Answer:

35 minutes

Step-by-step explanation:

Dylan gets home at 4:05pm

spends 20 minutes on his homework

4:05+20 min=4:25

spends 15 minutes practicing the drums.

4:25+15 min=4:40

Now, how many minutes does he have left before leaving for soccer practice at 5:15 pm

5:15-4:40=35 min

we cant find 15-40 because it gives negative number so we take 1 from 5 that made 15 became

15+60=75 min

then 75-40=35min

of course 4-4=0 hours

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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The work done on a particle moving uniformly around the unit circle centered at the origin under a constant force field, f(x, y), is zero.

When a particle moves in a closed path, like a circle, the net work done by a conservative force field is always zero. In this case, the force field is constant, which means it does not change as the particle moves along the path. Since the work done by a constant force is given by the formula W = F * d * cos(θ), where F is the force, d is the displacement, and θ is the angle between the force and the displacement vectors, we can see that the cosine of the angle will always be zero when the particle moves along the unit circle centered at the origin. This implies that the work done is zero. Thus, the work done on the particle is zero.

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Answer:

196π (square metres)

Step-by-step explanation:

area of circle = π r²

= π (14)²

= 196π (square metres)

On solving the quadratic equation x² + 5x - 14 = 0 by using the quadratic formula , the solution is written as x = 2 , x = -7  .

The formula that is used to find the roots of the quadratic equation is called as quadratic formula and is written as ,

the general quadratic equation is ⇒  ax² + bx + c = 0, the the quadratic formula will be:

⇒ x = [-b ± √(b² - 4(a)(c))]/2a ;

the given equation is ⇒  x² + 5x - 14 = 0 ,

On comparing ,

we get that ; a = 1 , b = 5 and c = -14 ;

substituting  values in quadratic formula ,

we get ;

⇒ x = [-5 ± √(5² - 4(1)(-14))]/2(1) ;

solving further ,

we get ;

⇒ x = (-5 ± √(25+56))/2(1);

⇒ x = (-5 ± √81)/2;

⇒ x = (-5±9)/2 ;

On simplifying the equations separately ,

we have ;

⇒ 2x = -5 + 9    or    2x = -5 - 9   ;

⇒ we get , "x" as 2 or  "x" as -7  .   ;

Therefore , the roots of equations are "x ⇒ 2" or "x ⇒ -7"  .

The given question is incomplete , the complete question is

How do you solve  x² + 5x - 14 = 0  using the quadratic formula ?

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The percentage of variation that is in the differences in the number of volunteers is 86.1

We have to take the square of the correlation coefficient in other to get the solution to this problem.

The formula for variation is given a r squared

r = r²

The value of r is given as r = 0.928

Then we have the square of r = r²

= 0.928²

= 0.861

The percentage would be gotten by 0.861 x 100

= 86.1%

Hence the percentage of variation that is in the bags of trash that has been collected is 86.1

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