state whether each function is a linear function. write yes or no. explain.
xy = - 1

Answer:

HELP me with my last qu3estion

Step-by-step explanation:

Answer: 17 bags

Step-by-step explanation:

425/25= 17

Answer:

17.1%

Step-by-step explanation:

To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:

\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)

Therefore, approximately 17.1% of the trees in the wood are oak trees.

Answer:

17.1%

Step-by-step explanation:

In order to calculate the percentage of trees that are oak trees, we can use the following formula:

\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)

We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.

Substituting these values into the formula, we get:

\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)

Therefore, 17.1% of the trees in the wood are oak trees.

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

1460

Step-by-step explanation:

rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡

Answer:

1460

Step-by-step explanation:

Original number is 1 4 5 6

To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it

The digit in the tens place is 5

If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0

So 5 rounds up to 6

The 6 to the immediate right(units place becomes 0)

1 4 5 6 rounded to nearest ten==> 1 4 6 0

Answer:

In this, 3.695 to 4, the tenths was rounded

Step-by-step explanation:

The feeding stuff will last for 12.5 weeks

The amount of feeding stuff the farmer needs to feed his cattle is proportional to the number of cattle and to the number of days they are fed.

This can be written as:

Feeding stuff = X × N × W

Where,

X is a constant.

N is the number of cattle.

W is the number of weeks.

We know that the farmer has enough food to feed N=50 cattle for W = 10 weeks.

That is

Feeding stuff =X× 50 × 10 = 500X

If the same amount of feeding stuff is used for 50 - 10 = 40 cattle.

Then,

500X = X × 40 × W

Simplifying:

500 = 40W

Dividing by 40:

W = 12.5

Therefore,

The feeding stuff will last for 12.5 weeks

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Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.

The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.

For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.

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With the help of percentage increase information, we conclude that,  Americans spent approximately $1,141.31 on summer vacation in 2014.

What is percenatge increase?

Percentage increase is a measure of how much a value has increased in comparison to the original value, expressed as a percentage.

To find what Americans spent in 2014, we need to use the percentage increase and the 2015 amount.

Let X be the amount spent in 2014.

We know that the increase from 2014 to 2015 is 3.4%, which can be expressed as:

3.4% = 0.034 (as a decimal)

We also know that the amount spent in 2015 is $1,180.

Using this information, we can set up an equation:

X + 0.034X = 1180

Simplifying the left side:

1.034X = 1180

Dividing both sides by 1.034:

X = 1141.31

So Americans spent approximately $1,141.31 on summer vacation in 2014.

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The length of the arc CD is 14.13 centimeters.

Remember that for an arc defined by an angle a in a circle of radius R, the length of the arc is given by:

L  = (a/360°)*2*pi*R

Where pi = 3.14

Here the angle is a = 45°

And R = 18cm, so we can replace that in the formula above to find the length.

L = (45°/360°)*2*3.14*18cm = 14.13cm

That is the length of the arc CD.

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Here, we want to translate the sentence into an inequality

The sentence is that a number n is no less than 7

What this mean is that although the number can be equal to 7, it is not less than 7

The inequality is thus;

Answer:

46 loaves of bread

Step-by-step explanation:

To solve this you would do 184 divided by 4! :)

Answer:

Step-by-step explanation:

Cost of one ticket = $ 5

Cost of 'n' tickets = 5 * n = 5n

c = 5n

Answer:

5n=c

Step-by-step explanation:

so we would times 5 with how many friends she has

That would be her total cost

y=5/6x+8

...............

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Let's compare the given function with the model for a quadratic equation:

Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.

The minimum value can be found calculating the y-coordinate of the vertex:

Therefore the minimum value is -24.

A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125

ii)  solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.

C) See the description of the solution below.

Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.

The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:

0.80b + 65 ≤ 125

Now we can solve for b:

0.80b + 65 ≤ 125

0.80b ≤ 125 - 65

0.80b ≤ 60

b ≤ 75

Therefore, the dance committee can buy up to 75 balloons to stay within their budget.

To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.

The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.

As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.

Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.

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Full Question:


Since the above question is incomplete, it appears you are referring to the question below.


The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.

A) Write and solve an inequality to show the number of balloons that the dance committee could buy.

B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

Answer:

it 10 because if x =9 then y=10

Part I: The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)

Part II: The midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)

From the question, we are to determine the formula for calculating the midpoint of a segment

The midpoint of a segment can be determined by using the formula,

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

The correct formula is D. ((x₁ + x₂)/2, (y₁ + y₂)/2)

II. To determine the midpoint of the segment with endpoints (-2, -1) and (0, 9)

x₁ = -2

y₁ = -1

x₂ = 0

y₂ = 9

Putting the parameters into the formula,

Midpoint of the segment = ((-2 + 0)/2, (-1 + 9)/2)

Midpoint of the segment = (-2/2, 8/2)

Midpoint of the segment = (-1, 4)

Hence, the midpoint of the segment with endpoints (-2, -1) and (0, 9) is (-1, 4)

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Assuming both rescue crafts travel at the same rate, the second coast guard craft would get to the distressed boat the fastest.

In order to determine the rescue crafts that got to the distressed boat fastest, we would have to determine the craft with the shortest travel distance by using their respective coordinates from the coordinates of the boat that is in trouble (49, 64).

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

For the first rescue craft, we have;

Distance = √[(60 - 49)² + (82 - 64)²]

Distance = √[(11)² + (18)²]

Distance = √[121 + 324]

Distance = √445

Distance = 21.10 units.

For the second coast guard craft, we have;

Distance = √[(58 - 49)² + (47 - 64)²]

Distance = √[(9)² + (-17)²]

Distance = √[81 + 289]

Distance = √370

Distance = 19.24 units.

In this context, we can reasonably and logically deduce that the second rescue craft would travel fastest.

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Tommy is right about the fact that an exact value is not possible because the number is irrational but the correct approximate length is 18.30.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, The base of a right-angled triangle is 10cm and its height is 15cm.

We know, hypotenuse² = base² = height².

Therefore,  hypotenuse² = 10² + 15².

hypotenuse² = 100 + 225.

hypotenuse = √335.

hypotenuse = 18.30.

But Tommy gave his answer as 18.03×10 which is equal to 180.3.

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I wanna help but i dont know that langue

Answer:

The answer is g(x) = 10x + 15

Step-by-step explanation:

Here, If we assume the value of x is 1 we get,

g(x) = 10x + 15

g(1) = 10(1) + 15

g(1) = 10 + 15

g(1) = 35

Here, We get the answer 35.

Now,

f(x) = 2•3ˣ

f(1) = 2•3¹

f(1) = 2•3

f(1) = 6

Here, We get the answer 6.

Now,

h(1) = 5x² + x + 10

h(1) = 5(1)² + 1 + 10

h(1) = + 5 + 1 + 10

h(1) = + 16

Thus, The answer is g(x) = 10x + 15.

-TheUnknownScientist 72

This is the same as writing y = sqrt(4(x+5)) - 1

===============================================

Explanation:

The given graph appears to be a square root function.

The marked points on the curve are:

Reflect those points over the line y = x. This will have us swap the x and y coordinates.

Recall the process of reflecting over y = x means we're looking at the inverse. The inverse of a square root function is a quadratic.

----------

Let's find the quadratic curve that passes through (1,-4), (3,-1) and (5,4).

Plug the coordinates of each point into the template y = ax^2+bx+c.

For instance, plug in x = 1 and y = -4 to get...

y = ax^2+bx+c

-4 = a*1^2+b*1+c

-4 = a+b+c

Do the same for (3,-1) and you should get the equation -1 = 9a+3b+c

Repeat for (5,4) and you should get 4 = 25a+5b+c

We have this system of equations

Use substitution, elimination, or a matrix to solve that system. I'll skip steps, but you should get (a,b,c) = (1/4, 1/2, -19/4) as the solution to that system.

In other words

a = 1/4, b = 1/2, c = -19/4

We go from y = ax^2+bx+c to y = (1/4)x^2+(1/2)x-19/4

----------

Next we complete the square

y = (1/4)x^2+(1/2)x-19/4

y = (1/4)( x^2+2x )-19/4

y = (1/4)( x^2+2x+0 )-19/4

y = (1/4)( x^2+2x+1-1 )-19/4

y = (1/4)( (x^2+2x+1)-1 )-19/4

y = (1/4)( (x+1)^2-1 )-19/4

y = (1/4)(x+1)^2- 1/4 - 19/4

y = (1/4)(x+1)^2 + (-1-19)/4

y = (1/4)(x+1)^2 - 20/4

y = (1/4)(x+1)^2 - 5

The equation is in vertex form with (-1,-5) as the vertex. It's the lowest point on this parabola. Placing it into vertex form allows us to find the inverse fairly quickly.

----------

The last batch of steps is to find the inverse.

Swap x and y. Then solve for y.

y = (1/4)(x+1)^2 - 5

x = (1/4)(y+1)^2 - 5

x+5 = (1/4)(y+1)^2

(1/4)(y+1)^2 = x+5

(y+1)^2 = 4(x+5)

y+1 = sqrt(4(x+5))

y = sqrt(4(x+5)) - 1

I'll let the student check each point to confirm they are on the curve y = sqrt(4(x+5)) - 1.

You can also use a tool like GeoGebra to verify the answer.

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

(a): x = 125 yards.

(c): x = 170 yards.

Step-by-step explanation:

Given

\(f(x) = x(200 - x)\)

\(x = length\\\\\)

\(f(x) = area\)

Required

Determine the possible length

For a length to be possible or usable, the calculated area must be greater than 0.

(a): x = 125 yards.

\(f(x) = x(200 - x)\)

Substitute 125 for x

\(f(125) = 125 * (200 - 125)\)

\(f(125) = 125 * 75\)

\(f(125) = 9375\)

(b): x = 200 yards.

\(f(x) = x(200 - x)\)

Substitute 200 for x

\(f(200) = 200 * (200 - 200)\)

\(f(200) = 200 * 0\)

\(f(200) = 0\)

(c): x = 170 yards.

\(f(x) = x(200 - x)\)

Substitute 170 for x

\(f(170) = 200 * (200 - 170)\)

\(f(170) = 200 * 30\)

\(f(170) = 6000\)

(d): x = 225 yards.

\(f(x) = x(200 - x)\)

Substitute 225 for x

\(f(225) = 200 * (200 - 225)\)

\(f(225) = 200 * (- 25)\)

\(f(225) = -5000\)

(e): x = 210 yards.

\(f(x) = x(200 - x)\)

Substitute 210 for x

\(f(220) = 200 * (200 - 210)\)

\(f(220) = 200 * (- 10)\)

\(f(220) = -2000\)

From the above calculations, only values of x that are 125 and 170 makes the function true

The probability that the average score of the 36 golfers was between 70 and 71 is 47.7% if the average score of all pro golfers for a particular course has a mean of 70.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

It is given that:

The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0.

As we know,

Z(score) = (x - u)/s

Standard error of sample = s/√n

Standard error of sample = 3.0/√36 = 0.5

P(70 ≤ x ≤ 71) = P((70 - 70)/0.5 ≤ Z ≤ (71-70)0.5)

= P(0 ≤ x ≤ 2)

= P(Z ≤ 2) - P(Z≤ 0)

= 0.977 - 0.500

= 0.477

Or

= 47.7%

Thus, the probability that the average score of the 36 golfers was between 70 and 71 is 47.7% if the average score of all pro golfers for a particular course has a mean of 70.

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