5x + 2y = 9
-6x - 2y = -14

SOLUTION

We will be pairing the pumpkins as follows

AB, CD, EF and GH

For AB, we have

Hence B is 3 times larger than A

For C and D, we have

Hence D is 5 times larger than C

E and F, we have

Hence E is 4.583 times larger than F

And the last G and H, we have

Hence G is 2.167 times larger than H

Answer: 35.25p + 5.5 ≤ 70

It will take 70 days for the population of bacteria to reach 10,000 from 1000, if it is growing according to the Malthusian model and doubling itself in 10 days.

This can be calculated using the exponential growth formula: N(t) = N0 * (1 + r)^t, where N0 is the initial population size (1000), r is the growth rate (2/10 = 0.2), and t is the time in days (70).

The Malthusian model of population growth is an exponential growth model developed by Thomas Robert Malthus in 1798. It states that the population of a species increases exponentially, doubling every generation, and is limited only by the available resources.

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Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Opposite angles are equal.

Opposite sides are equal and parallel.

Diagonals bisect each other.

Sum of any two adjacent angles is 180°

Parallel lines have equal slope so

Lets check

Now

Lines are parallel

Answer:

The two lines are parallel

Step-by-step explanation:

If two lines are parallel, they have the same slope.

If two lines are perpendicular, the slopes will be negative reciprocals (the product of the slopes will be -1).

Given slopes:

\(\sf m_1=\dfrac{3}{4}\)

\(\sf m_2=\dfrac{12}{16}\)

Reduce m₂ to its simplest form by dividing the numerator and denominator by the largest common factor:

\(\sf m_2=\dfrac{12 \div 4}{16\div 4}=\dfrac{3}{4}\)

Therefore,

\(\sf as \quad \dfrac{3}{4}=\dfrac{3}{4} \implies m_1=m_2 \quad\)

As the given slopes are the same, the two lines are parallel.

The answer is f of 5 = negative 1. The correct answer is option B

The complete graph is attached with the answer below.

Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.

We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.

Therefore answer is f of 5 = negative 1. The correct answer is option B

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Answer:

The answer is f of 5 = negative 1.

Step-by-step explanation:

Edge

Answer:

(1,5)

Step-by-step explanation:

x = 1

y = 8

If you move down 3 units, it means the y would be lower. This is because y is the vertical value in a pair of coordinates.

8-3 = 5

Answer:

(1, 5)

Step-by-step explanation:

A coordinate defined as point (x, y) is called Cartesian Coordinate. The x-coordinate represents right-left direction while the y-coordinate represents up-down direction.

Its transformation depends on how would you move the coordinate point. An example is if you start with (x, y) point and move to right 3 units, our new position will be at (x + 3, y).

Properties

Suppose we have point (x, y), if we move to right “a” units then the new point will be (x + a, y)

If we move (x, y) to left “a” units, our new point will be (x - a, y)

If we shift (x, y) up “a units”, you’ll get (x, y + a)

If we shift (x, y) down “a units”, we’ll have (x, y - a)

Suppose you start at (1, 8) and you move down 3 units, you can apply the transformation property to find your new position.

Since you move down, this means you are dealing with y-coordinate only so you’ll apply property of (x, y - a)

You’ll have (1, 8 - 3) which equals to (1, 5).

Hence, you’ll end at (1, 5).

Answer:

35

Step-by-step explanation:

x + 10 = 45

x = 35

Answer:

x=35

Step-by-step explanation:

Opposite sides are equal so angle MNL is equal to JNK.

THerefore, JNK is 45 degrees.

So, x+10=45. We can simplify this to x=35.

Hope that helps!

Answer:

3

Step-by-step explanation:

triangles are congruent too

qr/rx = pr/ry

rx = (6*4)/8 = 3

The probability that Kennedy randomly selects an oatmeal cookie and then a sugar cookie is 9/30 * 6/29, which simplifies to 3/29.


1. First, we need to find the total number of cookies in the bag. There are 7 chocolate chip, 8 peanut butter, 6 sugar, and 9 oatmeal cookies, which add up to 30 cookies (7+8+6+9=30).
2. Next, we find the probability of selecting an oatmeal cookie first. There are 9 oatmeal cookies out of a total of 30 cookies, so the probability is 9/30. After Kennedy eats the oatmeal cookie, there are now 29 cookies left in the bag.
3. Now, we need to find the probability of selecting a sugar cookie after eating the oatmeal cookie. There are 6 sugar cookies out of 29 remaining cookies, so the probability is 6/29.
4. To find the overall probability, we multiply the probability of the first event (selecting an oatmeal cookie) by the probability of the second event (selecting a sugar cookie), which is (9/30)*(6/29).

The probability that Kennedy randomly selects an oatmeal cookie from the bag, eats it, and then randomly selects a sugar cookie is 9/30 * 6/29, which simplifies to 3/29 as the final reduced fraction.

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The probability that the Islanders will win exactly three out of five games in a series against the Rangers is mathematically given as

P(x=3)=0.26367

Generally, the equation for the probability is mathematically given as

P(x=3)=nC3 (P)^r (q)^{n-r}

Therefore

P(x=3)=5C3 (0.75)^3 (0.25)^{5-3}

P(x=3)=10 (0.75)^3 (0.25)^{5-3}

P(x=3)=0.26367

In conclusion, The probability of the islander

P(x=3)=0.26367

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Answer: 96

Step-by-step explanation: This is how to solve:

120 * 4

= 480

3 + 2 = 5

480 / 5

= 96

First, you need to multiply the boxes bought by the total amount inside the box. (120 * 4)

The, we need to find how many raisins she uses IN TOTAL for each gingerbread man. So, we need to add 3 + 2

This equals 5

So, 120 * 4 = 480

So, in total, she buys 480 raisins. So, to find how much gingerbread she can make, we need to divide 480 by 5. This would get you 96. I hope this helps ;)

Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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The quotient and remainder of -13 by 6 is -2 and -1 respectively.

To find the quotient and remainder when -13 is divided by 6, we can use the following steps:

Therefore, the quotient when -13 is divided by 6 is -2 and the remainder is -1.

In arithmetic, when we talk about a quotient, we refer to the result of a division between two numbers. This is mostly known to be the integer part of a fraction or, as mentioned above, the result of a division.

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Jyotsana must sell the eggs at a price of 80.5 rs per hundred eggs to earn a profit of 15%.

Jyotsana bought 4000 eggs at a rate of 8.40 rs per dozen. We can calculate the cost of one egg as follows:

Cost of 1 egg = (Cost of 1 dozen) / 12

Cost of 1 egg = 8.40 / 12

Cost of 1 egg = 0.70 rs

To earn a profit of 15%, Jyotsana needs to sell the eggs at a price that is 15% more than her cost price. Let's call this selling price "x". To calculate "x", we need to first calculate the cost of 100 eggs, which is:

Cost of 100 eggs = 100 × Cost of 1 egg

Cost of 100 eggs = 100 × 0.70

Cost of 100 eggs = 70 rs

Now, Jyotsana wants to earn a profit of 15% on her cost price, which means her selling price should be:

x = Cost price per hundred eggs + 15% of Cost price per hundred eggs

x = 70 + (15/100) × 70

x = 70 + 10.5

x = 80.5 rs

Therefore, Jyotsana must sell the eggs at a price of 80.5 rs per hundred eggs to earn a profit of 15%.

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The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Answer:

x = 0 and y = 5

Step-by-step explanation:

y = 2x + 5

x + 2y = 10

Substitute y = 2x + 5 in x + 2y = 10

x + 2(2x + 5) = 10

x + 4x + 10 = 10

5x = 10 - 10

5x = 0

x = 0/5

x = 0

Substitute x = 0 in x + 2y = 10

0 + 2y = 10

2y = 10

y = 10/2

y = 5

Answer:

3/8 gallon

Step-by-step explanation:

They drink 1/2 of their milk at breakfast => it means they drank 1/2 of 3/4 gallon of milk.

So, they drank : 3/4 x 1/2 = 3/8 gallon of milk.

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

There are 6 possible outcomes 1,2,3,4,5,6

P(1) = number of outcomes that equal1 / total

        =1/6

Roll again

P(1) = 1/6

These are independent events so we can multiply the probabilities

P(1 roll again 1) = 1/6 * 1/6 = 1/ 36

The solution of the differential equation t ln (t) dr/dt + r = 3te^t is  r = (3/t) - 3e^(-t)/ln(t) + C/ln(t)

To solve the given differential equation:

t ln(t) dr/dt + r = 3te^t             ...... (1)

Divide the equation (1) by t ln(t) then equation (1) chages to:

dr/dt + (1/t ln(t))r = 3e^t/t ln(t)

The given equation is a reducible linear differential equation to reduce in linear form we multiply by the integrating factor.

The integrating factor is given by:

μ(t) = e^∫(1/t ln(t))dt

= e^ln(ln(t))

= ln(t)

Thus,

ln(t) dr/dt + r ln(t) = 3te^t

d/dt (r ln(t)) = ln(t) dr/dt + r/t

Substituting this into the equation, we get:

d/dt (r ln(t)) = 3te^t/t

Integrate both sides;

r ln(t) = 3e^t ln(t) - 3e^t + C

r = (3/t) - 3e^(-t)/ln(t) + C/ln(t)

r = (3/t) - 3e^(-t)/ln(t) + C/ln(t)

hence, the solution of the differential equation is r = (3/t) - 3e^(-t)/ln(t) + C/ln(t), where C is a arbitrary constant.

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Answer:

8 kilometers.

Step-by-step explanation:

I'm not 100% sure, but I hope this helps.

The attached graph represents the number line of the inequality |2x - 5] ≥ 3

The inequality is given as:

|2x - 5] ≥ 3

Remove the absolute value sign

2x - 5 ≥ 3 or 2x - 5 ≥ -3

Add 5 to both sides

2x ≥ 5 + 3 or 2x ≥ 5-3

Evaluate

2x ≥ 8 or 2x ≥ 2

Divide through by 2

x ≥ 4 or x ≥ 1

Combine both inequalities

x ≤ 1 and x ≥ 4

See attachment for the number line

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Answer:

The section of a parabola that shows a falling curve with decrease in the y values of the graph is known as the decreasing interval of the quadratic function

Step-by-step explanation:

Answer:x= -47

Step-by-step explanation:

-14x-45=613

-14x = 658

x = -47

Answer:

x= -47 i'm sure i did it right but tripple check it for me

Step-by-step explanation:

add 45 to both sides

divide both sides by -14

x= -47

No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.

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The total area of the pyramid which is 6 feet on each side and haiving height of 4 feet is 96 square feet.

According to the given question.

Length of the square pyramid = 6feet

Width of the square pyramid = 6feet (for square length and width are same)

Height of the pyramid = 4feet

As we know that the formula which is used to find the area of pyramid is

\(A = l^{2} + 2l \sqrt{\frac{l^{2} }{4} +h^{2} }\)

Where,

l is the length of the pyramid

h is the height of the pyramid

Therefore,

The total area of the pyramid which is 6 feet on each side and haiving height of 4 feet

= \(6^{2} +2(6) \sqrt{\frac{36}{4} +4^{2} }\)

= 36 + 12√9+16

= 36 + 12√25

= 36 + 12(5)

= 36 + 60

= 96 square feet

Hence, the total area of the pyramid which is 6 feet on each side and haiving height of 4 feet is 96 square feet.

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