a^2/5 • a^-3

Vvbbbvvbbbbbbnnnnnnnnnnn

Answer:

I think the answer should be    

x-3y

Step-by-step explanation:

Answer:

x³y²(x - 3y)

Step-by-step explanation:

\(x^{4}\)y² - 3x³y³ ← factor out x³y² from each term

= x³y²(x - 3y)

However , the options in your table give

\(x^{4}\)y² - 3x³y³ ← factor out x²y² from each term

= x²y²(x² - 3xy) ← option d

x²y² is not the greatest common factor of the 2 terms

The one I did above gives the factors using the GCF

Answer:

rhombus sides are equal.

7y=4y+21

7y-4y=21

3y=21

y=21/3

y=7

3x=45°(by alternate interior angle)

x=45/3

x=15

y

The expression as a number in scientific notation is 4.2 * 10^5

The expression is given as:

quantity 7 times 10 cubed end quantity times quantity 5.4 times 10 to the fourth power end quantity all divided by quantity 9 times 10 squared

Rewrite properly as:

[7 * 10^3 * 5.4 * 10^4]/[9 * 10^2]

Evaluate the product of 7 and 5.4

So, we have:

[37.8* 10^3 * 10^4]/[9 * 10^2]

Evaluate the product of 10^3 and 10^4

So, we have:

[37.8* 10^7]/[9 * 10^2]

Evaluate the quotient of 37.8 and 9

So, we have:

[4.2 * 10^7]/[10^2]

Evaluate the quotient of 10^7 and 10^2

So, we have:

4.2 * 10^5

Hence, the expression as a number in scientific notation is 4.2 * 10^5

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Rounding to 4 decimal places, we expect 9.9600 of the 12 vehicles to use E-ZPass.

Rounding to 4 decimal places, the mode is 10 and the probability associated with the mode is 0.2822.

Rounding to 4 decimal places, the probability of eight or more of the sampled vehicles using E-ZPass is 0.9975.

a. We can use the binomial distribution to model the number of vehicles out of 12 that use E-ZPass. The probability of a vehicle using E-ZPass is 0.83, so the expected number of vehicles out of 12 that use E-ZPass is:

E(X) = np = 12 x 0.83 = 9.96

Rounding to 4 decimal places, we expect 9.9600 of the 12 vehicles to use E-ZPass.

b. The mode of the binomial distribution is the value of X that maximizes the probability mass function (PMF). In this case, the PMF is given by:

P(X = x) = (12 choose x) * 0.83^x * 0.17^(12-x)

We can find the mode by calculating the PMF for each possible value of X and identifying the value(s) with the highest probability. Alternatively, we can use the formula for the mode of the binomial distribution, which is:

mode = floor((n+1)p)

where n is the number of trials and p is the probability of success.

In this case, the mode is:

mode = floor((12+1) x 0.83) = floor(10.08) = 10

The probability associated with the mode is:

P(X = 10) = (12 choose 10) * 0.83^10 * 0.17^2 = 0.2822

Rounding to 4 decimal places, the mode is 10 and the probability associated with the mode is 0.2822.

c. The probability of eight or more of the sampled vehicles using E-ZPass can be found using the binomial distribution:

P(X >= 8) = 1 - P(X < 8) = 1 - P(X <= 7)

Using a binomial calculator or a cumulative binomial table, we can find:

P(X <= 7) = 0.0025

Therefore:

P(X >= 8) = 1 - 0.0025 = 0.9975

Rounding to 4 decimal places, the probability of eight or more of the sampled vehicles using E-ZPass is 0.9975.

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Perimeter would be approximately 23.57 ft

Consider triangle ABC is an isosceles triangle,

In which AB = AC,

And, m∠A = 150°,

∵ AB = AC ⇒ m∠B = m∠C,

Now sum of all interior angles of a triangle is 180°,

i.e. m∠A + m∠B + m∠C = 180°,

150°+ m∠B + m∠B= 180°,

2m∠B + 150° = 180°

2m∠B = 30°

⇒ m∠B = 15°

Let D ∈ BC such that AD ⊥ BC,

∵ Altitude of an isosceles triangle is its median,

i.e, BD = DC or BD = (1/2) BC

In triangle ADB,

⇒ Tan 15 = AD/BD

⇒ Tan 15 = 2AD/BC

⇒ AD = (BC tan15)/2     ......(i)

Now, area of triangle ABC = (1/2)xBCxAD

If area = 9 square ft,

From equation (1),

(1/2)x(BC tan15)/2 x  BD =  9

⇒ BC² = 36/tan15 = 134.35

⇒ BC = 11.59 ft

From equation (1),

AD = 1.55

Using Pythagoras theorem,

⇒ AB = √(AD² + BD²)

⇒ AB = 5.99 ft

Hence, perimeter of the triangle ABC= AB + BC + CA

= 5.99 + 11.59 + 5.99

= 23.57 ft

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Answer:

0.0916

Step-by-step explanation:

As you can see I got it wrong with my answer so 0.0916 is the correct answer.

Answer:

80% increase

Step-by-step explanation:

The new value is 90.  The old value is 50

(90-50)/ 50

40/50

Multiply by 2 to get over 100

80/100

80% increase

Answer:

18 units to the right.

Step-by-step explanation:

Hope this helps!

Answer:

y=x+2

Step-by-step explanation:

y=mx+b

m is slope

b is y intercept

it crosses the y intercept at (0,2) therefore b is 2

rise over run is 1 so slope is 1

fill in

y=1x+2

or y=x+2

you can fill in any (x,y) point into this

Answer: the answer is (6,1)

Step-by-step explanation:

Answer:

(4, 3)

Step-by-step explanation:

If you are moving 2 units left, the x coordinate is shifted to the left by 2 units, the y coordinate remains the same.

A shift to the left means a decrease in the x-coordinate value so new
x-coordinate is 6- 2 = 4 , y coordinate is still 3 so you end up at point (4, 3)

Answer:

864 cubic inches

Step-by-step explanation:

Complete Question

A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?

The volume of a rectangular pyramid =

Area of the base × Height of the pyramid

Base has dimensions = 12 inches by 9 inches.

Area of the base = 108 square inches

Height of the pyramid = 8 inches

Volume of rectangular pyramid =

Area of the base × Height of pyramid

= 108 square inches × 8 inches

= 864 cubic inches

Therefore, the volume of the display case is 864 cubic inches

If "3 marks" are awarded for each "correct-answer" and "-1 marks" for each "incorrect-answer", then the total score of Varun in quiz is 47.

Out of the 25 questions in the quiz, Varun attempted all of them, which means he has answered 25 questions in total.

Out of the 25 questions, Varun answered only 18 correctly, which means he answered 7 questions incorrectly.

Therefore, the total score for his correct answers would be : 18 × 3;

⇒ 54 marks,

The total score for his incorrect answers would be : 7 × (-1) = -7;

Varun did not leave any question "un-attempted", so he did not gain or lose any marks for those questions.

Varun's total score in the quiz would be : (Score for correct answers) + (Score for incorrect answers)

⇒ Total Score = 54 + (-7) = 47 marks,

Therefore, Varun's total score in quiz is 47 marks.

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The given question is incomplete, the complete question is

In a Mathematics quiz, the total number of questions are 25. According to the marking scheme, 3 marks are given for every correct answer and -1 marks for every incorrect answer, and 0 for questions not attempted.

Varun attempts all questions but only 18 of his answers are correct. What is his total score in the quiz?

Answer:

i need help on this too someone help

Step-by-step explanation:

Answer:

y = 10x

Step-by-step explanation:

*Remember the equation of a line is y = mx + b

Attached are each of the options graphed. As m increases, the slope becomes steeper. The blue line, y = 10x is the steepest of them all.

Hope this helps!

Answer:

507

Step-by-step explanation:

Answer:

507

Step-by-step explanation:

The type of variable for,

a. The number of counties in California: Quantitative discrete.

b. The stages of childhood: Qualitative ordinal.

c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.

d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.

e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.

f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.

In statistics, variables can be categorized into two types: qualitative and quantitative.

Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.

Quantitative variables, on the other hand, represent numerical values that can be measured or counted.

There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.

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Answer:

divide both side of inequality by 4 but don't flip the symbol

The characteristics of the given graph that can be used to find the

inequality are the y-intercept and the shaded region of the inequality.

Correct response:

Given:

From the given diagram, we have that the inequality is a linear inequality,

therefore, the inequality can be expressed as y ≤ m·x + c.

Where:

m = The slope

c = The y-intercept

From the graph, the y-intercept of the graph of the inequality is at the point (0, -1)

Therefore;

The shaded region which is to the right of the line with a positive slope

(the straight line increasing from left to right) indicates that the value of y is

less than the equation of the line of the inequality.

The solid line in the graph indicates that the inequality relationship is less

than or equal to (≤).

The inequality that has -1 as the y-intercept and a shaded region to the right of the solid line from among the given options is option j. 3·x - 1 ≥ y

The above inequality can be written as follows;

y ≤ 3·x - 1

Therefore;

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The coordinates of the vertices of the trapezoid S'T'U'V', after following the transformation with the rule (x, y) → (x + 7, y - 9), from the trapezoid STUV, with the vertices as S(-3, 6), T(0, 7), U(1, 4), and V(-5, 2) are S' (4, -3), T' (7, -2), U' (8, -5), and V' (2, -7).

In the question, we are given that there is a trapezoid STUV with the vertices as S(-3, 6), T(0, 7), U(1, 4), and V(-5, 2).

Now we are informed that the trapezoid STUV goes under a transformation, following the rule (x, y) → (x + 7, y - 9), to become S'T'U'V'.

We are asked to find the vertices of the new trapezoid S'T'U'V'.

Following the rule (x, y) → (x + 7, y - 9), we get:

Thus, the coordinates of the vertices of the trapezoid S'T'U'V', after following the transformation with the rule (x, y) → (x + 7, y - 9), from the trapezoid STUV, with the vertices as S(-3, 6), T(0, 7), U(1, 4), and V(-5, 2) are S' (4, -3), T' (7, -2), U' (8, -5), and V' (2, -7).

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The correct answer is B. The expression that represents the amount of ore sold is (2t - 12) metric tons. This expression subtracts the ton of coal used for electricity generation from the total extracted amount of 2 metric tons per hour, for a period of t hours.

In this scenario, the mine extracts 2 metric tons of coal in an hour. However, it uses one ton of the extracted coal every hour to generate electricity for the mine. This means that out of the 2 metric tons extracted, only 1 metric ton is available for sale.

To calculate the amount of ore sold after a given number of hours, we need to subtract the ton of coal used for electricity from the total extracted amount. This can be represented as (2t - 1t), where t represents the number of hours spent mining.

If we plug in t = 12 into the expression, we get (2 × 12 - 1 × 12), which simplifies to (24 - 12) or 12 metric tons. Therefore, the mine can sell 12 metric tons of ore after extracting ore for 12 hours.

Option B correctly represents the expression and provides the accurate amount of ore sold, which is 24 metric tons. The other options either have incorrect expressions or incorrect quantities of ore sold.

Since the mine has been extracting ore for 12 hours, we can substitute t with 12 in the expression.

Therefore, the amount of ore sold after extracting ore for 12 hours is (2 × 12 - 12) metric tons, which simplifies to 24 metric tons.

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Step-by-step explanation:

20=4*1.95+1.99n

n=6

Audrie can buy 6 notebooks

Answer:

Step-by-step explanation:

The total cost for a large pizza is given by the equation:

C=2t+8

where t is the number of toppings.

Now, when t=0 we have:

C=8

when t=1 we have:

C=10

when t=2 we have:

C=12

when t=3 we have:

C=14

when t=4 we have:

C=16

when t=5 we have:

C=18

i.e. the graph of this equation is the ordered pair:

(0,8) , (1,10) , (2,12) , (3,14) , (4,16) and (5,18)

Now, the slope of this function means the cost of each topping.

and the y-intercept represents the cost of the pizza when there are no toppings.

The equation for the given line which is parallel to y = -x + 7 is y = -x + 5.

For two lines running parallel to each other, their slopes will be equal.

The equation of a straight line is

y = mx + c …. (i)

where m ⇒ slope of the line

and, c ⇒ y-intercept

Given: y = -x + 7 …. (ii)

By comparing equation (i) with equation (ii), we get

m = -1

From the question we know that:

x = 7

y = -2

Putting the values of x, y and m in equation (i), we get

-2 = (-1) 7 + c

-2 = -7 + c

c = 5

Using the values of m and c, we can now get the equation of the line

y = -x + 5

Therefore, the equation for the line parallel to y = -x + 7 is y = -x + 5.

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Answer:

Given:

Let, the slope of the line passing through the point ( m) = -2

The line passing through the point M(-1,-3)= (x1 , y1)

The equation of the line passing through the point M(-1,-3) is

y-y1 = m (x-x1)

or, y-(-3) = -2 (x-(-1))

or, y+3 = -2 (x+1)

or, y+3 = -2x-2

or, 2x+y = -2-3

Hence, 2x+y =-5 is the required equation.

(a) is the correct answer .

By applying the exponent rule of division, the equivalent expression to  \(r^m \div r^n\) is: A. \(r^{m - n}\).

Given the expression, \(r^m \div r^n\), we can find the expression that is equivalent to it by rewriting the expression as shown below:

r^m ÷ r^n

According to the exponent rule of division, if we are to divide two bases together that have the same same base but different exponents, what we only need to do is to subtract their powers.

We would apply this same rule in this given problem.

Applying the exponents rule of division, we would subtract the powers:

r^m ÷ r^n = r^(m - n)

Therefore, by applying the exponent rule of division, the equivalent expression to  \(r^m \div r^n\) is: A. \(r^{m - n}\).

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It takes 10 years for the invested sum of $5000 at 9% annual simple interest to become worth $9500.

To calculate the duration required for a sum of $5000 to be worth $9500, invested at 9% annual simple interest, we use the formula for simple interest: I = P * r * t.

Here, I is the interest, P is the principal amount, r is the interest rate, and t is the time in years.Let t be the number of years required to make the sum of $5000 worth $9500. So, we have:$4500 = 5000 * 0.09 * t$Simplifying, we get:$$4500 = 450t$$

Therefore, $t = 10$ years.

To solve this question, we use the formula for simple interest, which is I = P * r * t.Here, P is the principal amount, r is the interest rate, t is the time in years, and I is the interest earned on the principal sum.In this problem, we are given that $5000 is invested at 9% annual simple interest.

We are to calculate how long it takes for the invested sum to be worth $9500. We do this by using the above formula.To apply this formula to the problem, we need to rearrange it to solve for time t.

The rearranged formula is:t = I / (P * r)where I is the interest earned, P is the principal amount, and r is the interest rate.

Substituting the values we have into this formula, we get:t = (9500 - 5000) / (5000 * 0.09) = 4500 / 450 = 10 years.

So, it takes 10 years for the invested sum of $5000 at 9% annual simple interest to become worth $9500.

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Answer:

Range: (-10 , 14)

Step-by-step explanation:

Given information:

Range: (x , y)?

Plug in domain of x = -4 and x = 4 into equation to find range.

f(-4) = 3 * -4 + 2 = -10

f(4) = 12 + 2 = 14

Range: (-10 , 14)

The total purchases for the year ended 28 February 2018 can be found to be £ 45, 000.

The total purchases that Sevket had for the year ended 28 February 2018  can be found by the formula :

Amount paid to suppliers by Sevket + Cash discount received from credit suppliers

Amount paid to suppliers by Sevket = £ 42, 700

Cash discount received from credit suppliers = £ 2, 300

The total purchases are :

= 42, 700 + 2, 300

= £ 45, 000

Note : The option for accounts is Business.

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