Heather opened a lemonade stand in her street. It cost her $5.25 to buy the supplies each day,and she sells lemonade for &1.50 per cup. If she wants to make at least $100.00 in profits each day, what is the minimum number of cups of lemonade heather needs to sell?

Answer:

12

Step-by-step explanation:

Answer:

width is 3 and length is 9

Step-by-step explanation:

width is 3 bcs 3*3=9-6=3 satisfied?

Answer:

46 degrees

Step-by-step explanation:

Answer:

-98

Step-by-step explanation:

hope this is right

Answer:

-98

Step-by-step explanation:

a negative number is the opposite of a positive number

No map given but it shouldn't matter.

E is the 5th letter, L the 12th.

Start at S(6,12).  End at E(10,5)

The vector between them, E-S=(4,-7)

Each unit is 1/16 of a mile, though that probably doesn't matter that much.

Doug has to stay on the grid, so has to run |4|+|7|=11 units.  At 30 mi/hr that takes (11/16)/30 =  0.022916 hours.

Bert can go diagonally, so flies √(4²+7²)=√65 ≈ 8.06 units.  At 20 mi/hr that takes (8.06/16)/20 = 0.025194 hours.

Answer:  Doug wins

Why? Because it's quicker to cover 4+7 at 30 mph than it is to cover √(4²+7²) at 20 mph.  That is, Doug is 1.5 times faster and the 1.5 times the diagonal distance is more than the grid distance.

Answer:

Doug wins. He finishes in 1.38 minutes. Bert takes 1.51 minutes.

Step-by-step explanation:

Each city block is a square 1/16 mile by 1/16 mile.

From 6th Av and L Street to 10th Av and E Street, they need to go 4 avenues and 7 streets over. These two distances along blocks are the legs of a right triangle. The right triangle has legs of length 4 * 1/16 mile and 7 * 1/16 mile.

leg1 = 4 * 1/16 mile = 0.25 mile

leg2 = 7 * 1.16 mile = 0.4375 mile

The hypotenuse of the right triangle can be calculated by the Pythagorean theorem.

a^2 + b^2 = c^2

(0.25 mile)^2 + (0.4375 mile)^2 = c^2

c = 0.50389

The direct distance from one corner to the other is 0.50389 miles.

The bird travels this distance since the bird can fly above the streets.

The dog has to travel along the legs of right triangle by running in the streets and avenues. The dog travels 0.25 mile + 0.4375 mile = 0.6875 miles

Now we need to see what takes less time:

Bird: distance of 0.50389 miles at 20 mph, or

Dog: distance of 0.6875 miles at 30 mph

We start with the formula for speed:

speed = distance/time

s = dt

Now we solve it for time:

st = d

t = d/s

Time equals distance divided by speed.

Now we find the times for the bird and for the dog.

Bird:

t = d/s = (0.50389 mi)/(20 mi/h) = 0.02519 hours = 1.51 minutes

Dog:

t = d/s = (0.6875 mi)/(30 mi/h) = 0.0229 hours = 1.38 minutes

The bird takes 1.51 minutes, and the dog takes 1.38 minutes.

The dog takes less time to get there, so the dog wins.

Answer: 3 inches

The mode interval of this set is 79” – 81”.

Step-by-step explanation: You are looking for the mode which means the one that occurs most frequently

Answer:

58.4 Degrees

Step-by-step explanation:

Look at the attachment

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The measure of the third angle of a triangle is 58.4°.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The sum of all the angle of the traingle is always 180°.

31.8° + 89.8° + x = 180°

x = 58.4°

Hence, the measure of the third angle of a triangle is 58.4°.

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Answer:

6x^2 im pretty sure thats whats its asking for

Step-by-step explanation:

Answer:

i think it's b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It would be B because there are different number spikes in the different ages for the different reasons. Therefore there is no association with the two ages

Answer:

so its either 13/20

Step-by-step explanation:

if you get this wrong sorry:(

Answer:

A

Step-by-step explanation:

Answer:

A) 107 inches2

Step-by-step explanation:

4*16= 64

64/2 = 32

9+16 = 25

25/2 = 12.50

12.50*6 = 75  

32 + 75 = 107

Got it right in USA TESTING

i’m doing the first one.

the filled in circle goes to the 8 and put an arrow facing the right.

inequality-

x ≥ 8

Answer: A softball player will need to raise more.

Step-by-step explanation:

The softball team needs to raise $318.12 among the twelve girls on the team. Each softball player needs to raise:

$318.12 ÷ 12 = $26.51

The hockey team needs to raise $391.92 among the 24 boys on the team. Each hockey player will raise:

$391.92 ÷ 24 = $16.33

A softball player will raise $26.51 while a hockey player will raise $16.33. Therefore, a softball player will need to raise more.

Answer:

C

Step-by-step explanation:

Answer:

B 89 points

Step-by-step explanation:

you calculate the mean, basically trial and error. So you add one of the answers to 68+80+73+72 and then divide by 5 because there are five tests

hope this helped<33

Answer:42

Step-by-step explanation:

if x=6 u change the x with 6 then the equation would be 7x6= 42

Answer:

The mode would be 10

Step-by-step explanation:

Because it is there more than the others

hope this helps! =D

Answer:

10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

180-118=42 so angle c=42

add 42 +76 =138

in a triangle all degrees ad up to 180 so

subtract 138 from 180=42

Answer:

B) 42 degrees

Step-by-step explanation:

If we're looking for the measure of angle E, we need to know the measures of angles D and C too. (Otherwise we just have nothing to work with.)

So they already give us angle D's measurement, which is 76; we just have to find the smaller angle at C and then solve for E. If this doesn't make sense, just look at C; there's a big angle (118) and a small one that we don't know. We have to find the small one.

Well at C there's just a straight line, so we can assume that the big angle and the small angle add up to 180 degrees, because straight angles are always 180 degrees.

Now to get the small angle, we can take 118 away from 180 to get 62, which will be the measure of the smaller angle. (Comment if you don't know why I did this.)

Now that we know two out of three measures in the triangle, we can find the measure of angle E. All triangles' angles add up to 180 degrees, so we can take away 76 (measure of D) and 62 (measure of small C) from 180 to get the measure of E: 180 - 76 - 62 = 42

So the measure of angle E is 42.

Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)

The correct statement is option A)

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]

which can be re written as h(t)=  [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]

Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.

For instance, at t= -4 we have

8/25 - 16=15.68

and at t=4 we have

8/25 - 1/16 =0.2575

And it intercepts the x-axis at (1.644,0)

Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.

Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.

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Answer:

3 units.

Step-by-step explanation:

If you view the triangle face in halves, the bottom leg is  units as 8/2 = 4. The hypotenuse is 5 units given in the centre of the triangular prism. You can then use the Pythagorean theorem to calculate that the height is 3.  

Answer:

22/50?

Step-by-step explanation:

Answer:

22/50

Step-by-step explanation:

This is an experimental probability. This means that it is based on the experiment given to us. We know that out of the 50 times that she has pulled a tile out of the bag, she has gotten orange 22 of those times. Based on those results we can say that the probability of her choosing an orange again is 22/50. Or 44%.

Rewrite the percentage as a decimal:

1.5% = 0.015

Multiply by the amount of the overdraft:

50 x 0.015 = 0.75

The interest is $0.75

Answer:

The answer is A.

Step-by-step explanation:

As 2x³ - 3x² + x is completely divisible by x - 1 it is a factor of the polynomial.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given a polynomial 2x³ - 3x² + x which is being divided by x - 1.

Now, If 2x³ - 3x² + x is divisible by x - 1 then x = 1 is a root of the polynomial

2x³ - 3x² + x.

Therefore,

2(1)³ - 3(1)² + 1 = 0

2 - 3 + 1 = 0.

3 - 3 = 0.

0 = 0.

So, The binomial x - 1 is a factor of the polynomial.

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Answer:

B. Larger sample size and lower confidence level

Step-by-step explanation:

The margin of error of a confidence interval is given by the following formula:

In which  is the standard deviation of the population and n is the size of the sample.

z is related to the confidence level. The higher the confidence level, the higher the value of Z.

So, the margin of error is direct proportion to the confidence level and inverse proportional to the sample size.

We want to decrease the margin of error.

So the correct answer is:

B. Larger sample size and lower confidence level

Answer:

(E) A lower confidence level was used.

Step-by-step explanation:

The correct answer is (E). With the sample proportion remaining the same, a lower confidence level results in a lower margin of error and a narrower interval.

Answer:equal

Step-by-step explanation:

Answer equal

Step-by-step explanation:

Answer:

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, [tex]\bar x[/tex], approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is [tex]\left | \bar{x} - \mu \right |[/tex]

1. The error in the assumption is taking the sample mean, [tex]\bar x[/tex], as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

[tex]CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}[/tex]

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

[tex]\bar x[/tex] = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < [tex]\bar x[/tex] < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

Answer:

1023

Step-by-step explanation:

[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]

a = first term

r = common ratio

n = number of terms

Here we have

a = 1

r = 2

n = 10

[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]

[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]

[tex] S_{10} = \dfrac{-1023}{-1} [/tex]

[tex] S_{10} = 1023 [/tex]

Of course, since 10 is not such a large number of terms, you can simply do this:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023

Answer:

126 degrees

Step-by-step explanation:

A straight line makes a 180 degree angle. Since we know one side is 54, just subtract 54 from 180.

Answer:

There is no graph.

But 1 would be a good estimate if f(-3)=1

Step-by-step explanation: