Solve the inequality. Enter the answer as an inequality that shows the value of the variable; for example f > 7, or 6 < w. Where necessary, use <= to write and use >= to write . 15 > y + 10
pls help

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1[tex]g^{2}[/tex]+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1[tex]g^{2}[/tex]+30g-1200

0.1[tex]g^{2}[/tex]-30g+1200+665.60=0

0.1[tex]g^{2}[/tex]-30g+1865.60=0

Divide the above equation by 0.1.

[tex]g^{2}[/tex]-300g+18656=0

Solving for g we get,

g=[300±[tex]\sqrt{(300)^{2}-4*1*18656 }[/tex]]/2*1

g=[300±[tex]\sqrt{90000-74624}]/2[/tex]

g=[300±[tex]\sqrt{15376}[/tex]]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1[tex]g^{2}[/tex]+30g-1200.

-0.1[tex]g^{2}[/tex]+30g-1200=1500

0.1[tex]g^{2}[/tex]-30g+1500+1200=0

0.1[tex]g^{2}[/tex]-30g+2700=0

Dividing equation by 0.1.

[tex]g^{2}[/tex]-300g+27000=0

Solving the equation for finding value of g.

g=[300±[tex]\sqrt{300^{2} -4*1*27000}[/tex]]/2*1

=[300±[tex]\sqrt{90000-108000}] /2[/tex]

=[300±[tex]\sqrt{-18000}[/tex]]/2

Because [tex]\sqrt{-18000}[/tex] comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

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Answer:

81

Step-by-step explanation:

A perfect square is multiplying a number with the same number in question. 81 is a perfect square because either 9 or -9 will go into it perfectly, like a square's length and height.

[tex]9^{2} = 81[/tex]

Answer: 81

Step-by-step explanation:

81 can be perfectly square rooted into 9. [tex]\sqrt{81}=9[/tex]

The terms that are possible on the domain of a sequence are given as follows:

13, 25, 60.

A sequence is a list containing numbers, that may be related or not. It has a 1st term, 2nd term, and so on until the nth term.

The domain is the indexes of the terms, which starts at one and goes until n, hence the possible numbers are:

13, 25, 60.

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The proportional relationship that represents the market that sells their carrots at a lower rate per pound is: y = 1.6x.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the table, the rate is:

k = $8.8/4.4 = 2.

From the market, the rate is:

k = $4.8/3 = $1.6.

Hence the equation is y = 1.6x.

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The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

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Answer:

Step-by-step explanation:

Mabye later

No, The resulting prediction would be more or less reliable than your original one.

Importance:

Prediction is a forecast or a prophecy. An example of a prediction is a psychic telling a couple they will have a child soon, before they know the woman is pregnant. A statement of what will happen in the future.

Predictions provide a reference point for the scientist. If predictions are confirmed, the scientist has supported the hypothesis. If the predictions are not supported, the hypothesis is falsified. Either way, the scientist has increased knowledge of the process being studied.

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Answer

16/9

Step-by-step explanation:

I don't know if this is right or not and I'm sry if its wrong

but 16/9 divided by 4 = 9/4 

The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

According to the statement

we have to find the under which probability type The distribution of probabilities for each outcome of a random variable that sums to 1.00.

So,

For this purpose, we know that the

A probability distribution is a statistical function that describes all the possible values and likelihoods that a random variable can take within a given range.

and the above written definition of probability is satisfied the condition that the The distribution of probabilities for each outcome of a random variable that sums to 1.00.

Due to this reason The Probability Distribution is a correct option.

So, The distribution of probabilities for each outcome of a random variable that sums to 1.00 is called a Probability Distribution.

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Answer:

(f - g)(x) = [tex]3^{x}[/tex] + 8x + 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= [tex]3^{x}[/tex] + 10x - (2x - 4) ← distribute parenthesis by - 1

= [tex]3^{x}[/tex] + 10x - 2x + 4 ← collect like terms

= [tex]3^{x}[/tex] + 8x + 4

Using the relation between velocity, distance and time, it is found that a reasonable estimation of the current is of 1 mph.

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

Upstream, against the current, he traveled 3 miles in t hours, hence the equation is:

[tex]2 - c = \frac{3}{t}[/tex]

[tex]c = 2 - \frac{3}{t}[/tex]

Downstream, with the current, he traveled 3 miles in 4 - t hours, hence the equation is:

[tex]2 + c = \frac{3}{4 - t}[/tex]

Hence:

[tex]c = \frac{3}{4 - t} - 2[/tex]

Then, taking the two equal equations:

[tex]2 - \frac{3}{t} = \frac{3}{4 - t} - 2[/tex]

[tex]\frac{3}{4 - t} + \frac{3}{t} = 4[/tex]

[tex]\frac{3t + 12 - 3t}{t(4 - t)} = 4[/tex]

12 = -4t² + 16t

4t² - 16t + 12 = 0

t² - 4t + 3 = 0

(t - 3)(t - 1) = 0.

The current is positive, hence:

[tex]c = 2 - \frac{3}{3}[/tex]

c = 2 - 1

c = 1 mph.

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Performing subtraction operations on the given vectors gives;

u - v = <-2 - 3, -7 - (-4) > = <-5, -3>

Therefore;

u - w = <-2 - 5, -7 - 1> = <-7, -8>

u - w = <-7, -8> which corresponds with graph 2

Therefore;

w - v = <5 - 3, 1 - (-4)> = <2, 5>

w - v = <2, 5> which corresponds with graph 3

Therefore;

v - u = <3 - (-2), -4 - (-7)> = <5, 3>

v - u = <5, 3> which corresponds with graph 4

Therefore;

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Answer: 239

Step-by-step explanation:

[tex]g(7)=2(7)-5=9\\\\f[g(7)]=f(9)=3(9)^2 - 4=239[/tex]

The surface area of the figure given is of: 61.3 yd².

The combined surface area of a figure is the area of each figure.

This figure is composed by:

The area of the circle is given as follows:

[tex]A = \pi r^2 = \pi \times 3^2 = 9\pi[/tex]

For the triangle, we need to find it's height, which is the leg of a right triangle, in which one of the sides is 3 and the hypotenuse is 11.4, hence:

h² + 3² = 11.4²

[tex]h = \sqrt{11.4^2 - 3^2}[/tex]

h = 11 yd.

Hence the area of the triangle is:

A = 0.5 x 6 x 11 = 33 yd²

The surface area of the figure is:

9pi + 33 yd² = 61.3 yd².

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The measure of angle G in terms of x is x+x degrees

The measure of angle F and angle D is 90 degrees so that;

<GFD = <GDF = 90 - x

Since the sum of angle in a triangle is 180 degrees, hence;

<G + 90 - x + 90 - x = 180

<G + 180 - 2x = 180

<G = 2x

<G = x + x

Hence the measure of angle G in terms of x is x+x degrees

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Answer:A

Step-by-step explanation: math and me go together like mustard and pees

The measure of the indicated angle to the nearest degree is 47°.

Given the data in the question;

From trigonometric ratio, Cosθ = Adjacent / Hypotenuse

Cosθ = 36/53

θ = cos⁻¹( 36/53 )

θ = 47°

Therefore, the measure of the indicated angle to the nearest degree is 47°.

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Answer:

1/7

Step-by-step explanation:

When 2 lines are perpendicular the gradient of one is the reciprocal of the other :

If the gradient of A was 2 the gradient of B would be 1/2.

If the gradient of a is 7 the gradient of b would be 1/7 .

Hope this helped and have a good day

The response option that demonstrates why the three segments cannot be combined to form a triangle is AC + CB< AB.

According to the triangle inequality, the length of any two sides of a triangle added together must be longer than the length of the third side. Since a straight line is the shortest distance between two places, this conclusion follows. If the triangle isn't degenerate, the inequality is strict (meaning it has a non-zero area).

Since the length of any two sides of a triangle added together is longer than the length of the third side, it follows from the triangle inequalities theorem that this is the case.

As a result, the necessary inequality is AC + CB AB because the sum of sides AC + CB is less than AB.

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I understand that question you are looking for is:

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

A. AC + AB > CB

B. AC + CB < AB

C. AC + CB > AB

D. AC + AB < CB

The sum height of men and women is 139600 and 161000 inches respectively. Their mean height is 66.8 inches and the average of their mean is 67.1 inches.

Number of women =2500

Mean height of women = 64.4 inches

So, the total height of 2500 women = 64.4*2500 = 161000 inches

Number of men=2000

Mean height of men = 69.8 inches

So, the total height of 2000 men = 69.8*2000 = 139600 inches

Therefore, the sum height of all 4500 people = 161000+139600 =b

So, their mean height = 300600/ 4500 = 66.8 inches

The sum of mean height of men and women = 64.4 + 69.8 = 134.2 inches

Hence, The average of their mean = 134.2/ 2= 67.1 inches.

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Answer:

Angle A= 30

Step-by-step explanation:

Angle A and B are same side interior

So A + B = 180

x = 8

6(8)-18=30

Answer:23

Step-by-step explanation:

jaja

Answer:

Step-by-step explanation:

f(0) = √49 - x^2

f(0) means that wherever you see an x on the right, you put a zero.

so f(0) = √49 - 0^2

f(0) = √49

f(0) = 7

f(-7) = √49 - x^2

Again the meaning is that where you see an x on the right, you substitute - 7 for that x.

f(-7) = √49 - (-7)^2

f(-7) = 7 - 49

f(-7) = - 42

f(9) = √49 - (9)^2

f(9) = 7 - 81

f(9) = - 74

Using the probability concept, the correct option of the probability of a day in May being cloudy in Sacramento is:

A. 0.43, because 13 of the 30 days were cloudy.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For Sacramento, 30 days were considering, of which 13 days were cloudy, hence the probability of a day in May being cloudy in Sacramento is given as follows:

p = 13/30 = 0.43.

Hence the correct option is:

A. 0.43, because 13 of the 30 days were cloudy.

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The question that could be answered by using a logarithm is explained below

The question is: Let your dependent variable in the function be y. Write the function that models the independent variable in terms of y, using logarithms.

The question is asking you to solve y = f(x)

You already did this using a constant for y. Do the same thing with y instead of the constant.

y = 4(1.0256^x)

y/4 = 1.0256^x . . . . . . . divide by 4

log(y/4) = x·log(1.0256) . . . . . take logs

log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x

Now, you have a model for x in terms of y, which is what the question is asking for.

x = log(y/4)/log(1.0256)

When y=12, this is .x = log(12/4)/log(1.0256) ≈ 43.46 weeks

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Answer:

Step-by-step explanation:

So, we’re probably looking at a n9-m0 cusp, since adding 0 to a number gives a sum lower than adding 9 to a slightly smaller number, something that isn’t true elsewhere in the cycle.

We need a n9 where the sum n+9 is divisible by 3. 9 is divisible by 3 already, so n must be divisible by 3 as well. So, it’s 0, 3, 6, or 9.

Taking as the most likely 3 (because a 39 year old is more likely than a 9 year old, 69 year old, or 99 year old to have a child who doesn’t already know their father’s age) we’ll try 39, 40. 3+9=12, 4+0=4, 12/3=4, this is a possible solution.

Do the others work?

0+9=9, 1+0=1, 9/4=/=1

6+9=15, 7+0=7, 15/4=/=7

9+9=18, 1+0+0=1, 18/4=/=1

1+2+9=12, 1+3+0=4, 12/3=4

there are at least two possibles. the father was correct, the father cannot determine his age from what she has been told, she must guess. From what she knows of him, is it more likely that he’s 39, or 129, or even older?

Answer: 60 degrees

Step-by-step explanation:

An interior angle of a polygon and its corresponding exterior angle are supplementary (add to 180 degrees).

Factorize the sum of cubes:

[tex]x^3 + y^3 = (x+y) (x^2 - xy + y^2)[/tex]

so [tex]x^2-xy+y^2[/tex] is a factor of [tex]x^3+y^3[/tex]. Then the HCF is [tex]\boxed{x^2 - xy + y^2}[/tex].