What are the multiplication sentences for factors of 6?

Since in both given equations, the variable y is already clear, then you can equal the two equations and then solve for x. So, you have

To solve for x you can use the quadratic formula, that is,

In this case

a=2

b=3

c=-20

So,

Now you can plug in the solutions found in any of the given equations to find their respective y-coordinates.

For the first solution, you have

For the second solution, you have

Therefore, the solution set of the given system of equations is

Answer:

C

Step-by-step explanation:

I could not remeber since it is the next day, since exams sorry :/

Answer:

Step-by-step explanation:

The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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82.9 score should be assigned for A’s and 74.4 should be assigned for B’s

In this question we have been given the scores of students on a test are normally distributed with a mean score of 70 points and a standard deviation of 10 points.

It is decided to give A’s to 10 percent of the students and B’s to 23 percent of the students.

We need to find what scores should be assigned A’s and B’s.

μ = 70, σ = 10

Using standard normal table,

P(X > x) = 10%

P(X > x) = 0.10

1 - P(X ≤ x) = 0.10

P(X ≤ x) =1−0.10

             =0.90

Using standard normal z table,

(x - 70)/10 = 1.29

x = 82.9 (score for A’s)

Now, P(X > x) = 33% (top 33% = 10% for A’s+23 % for B’s)

P(X>x) = 0.33

1 - P(X ≤ x) = 0.33

P(X ≤ x) = 1 - 0.33

             = 0.67

Using standard normal z table,

(x - 70)/10 = 0.44

x = 74.4 (score for B’s)

Therefore, the score for A = 82.9 and the score for B = 74.4

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Answer:

The third number is 1/60

Step-by-step explanation:

Let the denominator of the number = x

1/4 + 1/3 + 1/x = 1/5

1/4 + 1/3 = 3/12 + 4/12 = 7/12

The lowest common denominator is 60x.

(7/12 + 1/x)/3 = 1/5        Remember that this is the average of 3 numbers. That's what the 3 is doing on the left. Multiply both sides by 3

7/12 + 1/x = 3/5            Multiply through by 60x

35x + 60 = 36x

x = 60

Very nice problem. Thanks for posting.  This problem is a little involved. If you have trouble with it, leave a note in the comments and I'll come back and discuss it.

Answer:

12.   m∠C = 100° and m∠F = 100°

13.   m∠S = 89° and m∠U = 89°

Step-by-step explanation:

Question 12

The two triangles ΔABC and ΔDEF have two of their angles equal:
m ∠A = m ∠D

m∠B = m∠E

Therefore the third angles must be equal:
m∠C = m∠F

m∠C = (4x²)° and m∠F = (3x² + 25)°

Setting these two right side expressions in parentheses equal to each other gives
4x² = 3x² + 25
4x² - 3x² = 25
x² = 25
x = ±√25 = ±5

Ignoring the negative value we get
x = 5

Therefore
m∠C = (4x²)° = (4 · 5²)° = (4 · 25)° = 100°

Since, m∠F = m∠C ,
m∠F  = 100°

But we can double check
m∠F = (3x² + 25)° = (3 · 5² + 25)° = (3 · 25 + 25) = (75 + 25)° = 100°

Question 13

This is similar to question 12

The quadrilateral RSTU is divided into two triangles ΔRST and Δ RUT

We are given
m∠RTS = m∠TRU

m∠TRS = m∠RTU

Therefore the third angle of ΔRST must be equal to the third angle of Δ RUT

In other words,
m∠S= m∠U

Plugging in the expressions for each of these angles we get

(5x - 11)° = (4x + 9)°

Set the expressions inside parens equal to each other and solve for x:
5x - 11 = 4x + 9

5x - 4x - 11 = 9    (subtract 4x from both sides)
x - 11 = 9

x = 11 + 9  (add 11 both sides)

x = 20

m∠S= (4x + 9)° = (4 · 20 + 9)° = (80 + 9)° = 89°

Therefore m∠RUT is also 89°

but we can double-check
m∠U= (5x - 11)° = (5 · 20 - 11)° = (100 - 11)° = 89°

Answer:

B, C, E

Step-by-step explanation:

Got it right on edge

The series C: 625 – 125 + 25 – 5 + …   converges. Explanation given.

The distance between each number in a geometric series is known as the common ratio. The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.

Given series:

A: 9 + 81 + 729 + …

B: 1 + 0.25 + 0.0625 + 0.015625 + …

C: 625 – 125 + 25 – 5 + …

D: 8 – 16 + 32 – 64 + …

To prove convergence:

A: 9 + 81 + 729 + …

Simplifying,

9 + (9)² + (9)³+ ....

The first term = 9

The second term = (9)²

So, the ratio = 9

That means, the geometric series with common ratio

IrI = 9 > 1

So, if the common ratio of geometric series is greater than 1 then the series diverges.

B: 1 + 0.25 + 0.0625 + 0.015625 + …

Simplifying,

1 + (1/4) + 1/(4)²+ ....

The first term = 1

Second term = 0.25

Third term = 0.0625

The ratio r = 4

IrI = 4 > 1

So, if the common ratio of geometric series is greater than 1 then the series diverges.

C: 625 – 125 + 25 – 5 + …

Simplifying,

The first term = 625

Second term = 125

Third term = 25

The ratio r = -125/625 = -1/5

IrI = 1/5 < 1

So, if the common ratio of the series is lesser than 1 then the series converges.

D: 8 – 16 + 32 – 64 + …

The first term = 8

Second term = -16

The ratio = -16/8 = -2

IrI = 2> 1

So, if the common ratio of the series is greater than 1 then the series diverges.

Therefore, the series C converges.

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The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Given,

Let

where, x,a and b are numbers.

The statement means that when x is multiplied by itself a times, the answer is b.

So, x^0 means that x is multiplied by itself zero times. Multiplying by zero times implies that no factors are multiplied together.

In mathematics, multiplying a number by nothing is the same as multipying the number by 1. Therefore,

Answer:

it would take her 42 mins

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

Answer:

w = 30

Step-by-step explanation:

a = lw

l = 2w

a = 2w × w

1800 = 2w × w

1800 ÷ 2 = w × w

900 = w × w

square root of 900 = square root of w^2

(I don't have the symbol for square root)

30 = w

check work:

a = lw

l = 2w

l = 2(30)

l = 60

1800 = 60 × 30

1800 = 1800

correct answer

Answer:

n = 6

Step-by-step explanation:

Represent the unknown number by n.  Then 8 - n/3 = 6.

Consolidate the constants on the left side:  2 - n/3 = 0, or n/3 = 2.

Multiplying both sides by 3 results in:  n = 6

Answer: If you minus it the answer is -0.488692191 rad

I think

Step-by-step explanation:

How do you find the second of an angle?

The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.

These are my opinion

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

1/4 * 1/8 = 1/32 inch

Step-by-step explanation:

1/4 * 1/8 = 1/32inch

There are 120 different combinations of 3 programmers that can be chosen to transfer to the new department

From the question, we have

Total number of programmers, n = 10

Numbers to programmers to select, r = 3

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 10 and r = 3

Substitute the known values in the above equation

Total = ¹⁰C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 10!/(7! * 3!)

Evaluate

Total = 120

Hence, the number of ways is 120

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Answer:

6 feet per minute.

Step-by-step explanation:

The turtle and snail are moving towards each other, so their speeds add up. Therefore, the combined speed at which they approach each other is:

5 feet/min (turtle's speed) + 1 feet/min (snail's speed) = 6 feet/min

Therefore, the turtle and snail are approaching each other at a speed of 6 feet per minute.

Answer:

6 feet per minute.

Answer:

5 + 6*10^-1 +

Step-by-step explanation:

I got you started... If you still need extra help, let me know.

Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

20 percent decrease

Step-by-step explanation:

it lost 4 inches of water (20-16) and 4 is a fifth of 20. a fifth is 20 percent so it is a 20 percent decrease

If a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter

The distance travelled by the car with 110 liters of fuel = 250km

To find the rate of fuel consumption we have to apply the unitary method

The distance travelled by the car with 1 liters of fuel = The distance travelled by the car with 110 liters of fuel /110

Substitute the values in the equation

The distance travelled by the car with 1 liters of fuel = 250/110

= 2.5 km

So a car consumes 1 liters of fuel to cover 2.5 km

The rate of fuel consumption = 2.5 km/liter

Hence, if a car consumes 110 liters of fuel with in a distance of 250 km, then the rate of fuel consumption is 2.5 km/liter

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The measure of angle GPE, considering the two tangents that intersect, is given as follows:

m < GPE = 27º.

The two-secant theorem states that when two secant lines of a circle intersect at a point outside a circle, the measure of the angle of intersection is given by half the difference between the arc length of the far arc by the arc length of the near arc.

Hence the equation is given as follows:

y = (far arc - near arc)/2.

The parameters for this problem are given as follows:

Hence angle GPE is the angle of intersection of the two secant segments, given as follows:

m < GPE = (97 - 43)/2

m < GPE = 27º.

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To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.

To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.

First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.

Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.

Using the formula for the present value of an ordinary annuity, we have:

PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.

Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.

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The perimeter and area of the square are; 24√2 units and 12 units² respectively

Given the coordinates of the midpoints of the four sides of a square are S(-4,11), Q(2,5), U(-4,-1), A (-10,5)

But since we have the midpoints of all the sides, we can assume they're equidistant from one another since the figure is a square.

SQ = √(x₂ - x₁)² + (y₂ - y₁)²

SQ = √(2 - (-4)² + (5 - 11)²

SQ = 6√2

Let's find QU

QU = √(-4 - 2)² + (-1 - 5)²

QU = 6√2

Let's find UA ;

UA = √(-10 - (-4))² - (5 - (-1)²

UA = 6√2

And the distance AS = 6√2

The perimeter of the square = 4 (6√2)

Perimeter = 24√2 units

The area of the square = l²

Area of the square = (6√2)²

Area of square = 12 units²

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Answer:

15x+10y≤250

Step-by-step explanation:

you replace the variables with the number of each shirt and times those numbers together then make sure the statement is true

Answer:

15x+10y≤250

x+y≥20

Step-by-step explanation: