A movie theater used y=2.44x to calculate how much money they made selling buckets of popcorn where y is the total and k is the price per bucket. How much would they make if they sold 5 buckets?

we have that

The formula to calculate the midpoint between two points is equal to

In this problem

we have

Y(-2,5)=(x1,y1)

H(0,3)=(x2,y2)

substitute given values in the formula

therefore

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

The actual length of the dragonfly if the drawing is 8. 5 cm, can be found to be 6. 375 mm

The scale on the science textbook is such that every 4 cm of the drawing of an insect is the same as 3 mm of the actual insect.

If a drawing is 8. 5 cm therefore, the actual length of the dragonfly would be :

= ( Drawing length of dragonfly x Scale of insect ) / Drawing scale of insect

The actual length is therefore :

= ( 8. 5 x 3 ) / 4

= 6. 375 mm

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Answer:

28.26 m²

Step-by-step explanation:

use formula please

Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

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Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

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Answer:

10

Step-by-step explanation:

30 x 10 = 300

Answer: 9 times less.

Step-by-step explanation:

The value of 3 in 1,234 is 30.

The value of 3 in 1,314 is 300.

The question asks how many times less is the value of 3 in 1,234 than the value of 3 in 1,314.

So to find how many times less it is, first we divide.

300 ÷  30 = 10

The value of 3 in 1,234 is 1/10th of the value of 3 in 1,314, which means that the value of 3 in 1,234 is 9 times less than the value of 3 in 1,314.

To explain, if you took the value of 3 in 1,234 (which is 30), and multiplied it by 9 (making it 270), that number would be the difference.

So 300(the value of 3 in 1,314) - 270(The difference) = 30(The value of 3 in 1,234)

Answer:

I think this is the answer 36 unit

To calculate the principal repaid by the 17th monthly payment of $750 on a $22,000 loan at 15% compounded monthly, we need to calculate the monthly interest rate, the remaining balance after 16 payments, and the interest portion of the 17th payment.

The monthly interest rate is calculated by dividing the annual interest rate by the number of compounding periods per year. In this case, it would be 15% / 12 = 1.25%.

The remaining balance after 16 payments can be calculated using the loan balance formula:

\($$B = P(1 + r)^n - (PMT/r)[(1 + r)^n - 1]$$\)

Where B is the remaining balance, P is the initial principal, r is the monthly interest rate, n is the number of payments made, and PMT is the monthly payment amount.

Substituting the values into the formula, we get:

\($$B = 22000(1 + 0.0125)^{16} - (750/0.0125)[(1 + 0.0125)^{16} - 1]$$\)

After calculating this expression, we find that the remaining balance after 16 payments is approximately $17,135.73.

The interest portion of the 17th payment can be calculated by multiplying the remaining balance by the monthly interest rate: $17,135.73 * 0.0125 = $214.20.

Therefore, the principal repaid by the 17th payment is $750 - $214.20 = $535.80.

Answer:

The Correct answer is C

10<_y>_14

Answer:  A

Step-by-step explanation:

The question is asking for the range, which means for the whole function where do you have y values.

you have y values from 0 to 14

I sometimes use a horizontal line.   If the function is touching the horizontal line than that is where you have a y value.

Answer:

The answer is 6.

Step-by-step explanation:

If there are 270 students going on the trip and there would be a teacher for every 45 students you would have to divide.

You would divide 270 ÷ 45 = 6.

The required number of teachers for the trip is 12.

Given that,
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone is to be determined.

Proportionality is defined as between two or more groups of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Let the number of teachers is x and the number of students is y, which are directly proportional to each other
y ∝ x
y = km
where k is the constant proportionality.

at y = 45 x = 2
45 = K * 2
K = 45 / 2
Now,
y = 45/2 x
Now for y =270
270 = 45 / 2 x
x = 270 * 2 / 45
x = 12

Thus, the required number of teachers for the trip is 12.

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Answer:

4x

Step-by-step explanation:

I think the answer is 4X.on the other hand, I think the answer is x + 4 because we were told you can't mix goats with cows.it is the same thing with x + 4 so if the answer isn't 4 x it is x + 4 I'm not quite sure which is the answer hope it helps.

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

this equation don't have x... Just y

y = 10

Answer:

Mike would have -438.17, poor mike lol

Answer:

180 degrees

Step-by-step explanation:

Transformations don't change the size or angles of a triangle.

We know the angle of T & S. We need to find R.

To do this we will do...

180 - (60+40) =

= 180-100

=80

R is 80 degrees.

Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.

Also, remember that triangles will ALWAYS add up to 180 degrees.

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The sample of rock is 3.52 million years old when the sample of rocks will have 15.625 grams of uranium -235

The half-life of a rock containing uranium -235  = 703.8 million years.

The initial quantity of uranium-235 in the given sample of rock = 500 grams.

We have to find after how many million years the sample of rock has 15.625 grams of uranium -235.

Half-life is the amount of time ( hours, days, years ) at which the value of any quantity is turned into half its initial value.

We have a formula for half-life:

    \(N(t) = N_0 (\frac{1}{2})^{\frac{t}{t_{1/2}}}\\\\where~t_{\frac{1}{2}}= half-life ~of~ the ~quantity.\\\\N(t) = Final~quantity.\\\\N_0 = Initial ~quantity.\)

We have,

Half-life of uranium -235 = 703.8

Initial amount of uranium -235 = 500 grams.

The final amount of uranium -235 = 15.625 grams.

So,

\(N(t) = N_0 (\frac{1}{2})^{\frac{t}{t_{1/2}}}\\\\15.625 = 500 (\frac{1}{2})^{\frac{t}{703.8}\)

\(\frac{15.625}{500}=(\frac{1}{2})^{\frac{t}{703.8}}\\\\\frac{1}{32} = (\frac{1}{2})^{\frac{t}{703.8}}\\\\(\frac{1}{2} )^5= (\frac{1}{2})^{\frac{t}{703.8}}\\\)

Since the base is the same we can equate the exponents.

5 = t / 703.8

t = 5 x 703.8

t = 3519 million years.

[ 1000 million years = 1 billion years ]

So,

3519 million years = ( 3519 / 1000 ) million years.

3519 million years = 3.519 million years.

Rounding to the nearest hundredths.

3519 million years = 3.52 million years.

Thus, the sample of rock will have 15.625 grams of uranium -235 in

3.52 million years.

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Answer:

4

Step-by-step explanation:

16x4=64

Answer:

4 chapters

Step-by-step explanation:

If Raj can read 1 chapter in 16 minutes you need to figure out how many times 16 goes into 64. Divide 64 by 16 and you get 4. Which means Raj can read 4 chapters in 64 minutes.

Step-by-step explanation:

Given expression;

   2x + y  = -5;

  The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

   2x + y  = -5

  Equation of a straight line is generally written as;

       y  = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

          2x + y  = -5

                 y  = -2x -5

 The slope of the perpendicular = \(\frac{1}{2}\)

So,

the new line;

            y  =  \(\frac{1}{2}\)x  -5

Any line with slope of  \(\frac{1}{2}\) will be perpendicular

The probability that a minimum of seven adults enjoy superhero movies is P(X ≥ 7) = P(X = 7) + P(X = 8)

You can calculate the specific values using the formulas and then sum them up to find the probability that a minimum of seven adults enjoy superhero movies out of the random sample of eight adults.

To find the probability that a minimum of seven adults enjoy superhero movies out of a random sample of eight adults, we need to calculate the probability of different scenarios: exactly 7 adults, exactly 8 adults, and add them together.

First, let's calculate the probability that exactly 7 adults enjoy superhero movies. We can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the combination formula (n choose k),

p is the probability of success (58% or 0.58 in decimal form),

n is the number of trials (8 in this case), and

k is the number of successes (7).

Using the formula, we can calculate:

P(X = 7) = C(8, 7) * 0.58^7 * (1 - 0.58)^(8 - 7)

Similarly, the probability that exactly 8 adults enjoy superhero movies is:

P(X = 8) = C(8, 8) * 0.58^8 * (1 - 0.58)^(8 - 8)

To find the probability of a minimum of seven adults enjoying superhero movies, we add these two probabilities together:

P(X ≥ 7) = P(X = 7) + P(X = 8)

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Answer:

2/6

Step-by-step explanation:

yeah

Answer:

1/6

Step-by-step explanation:

so basically, when you do this problem, you have to have a common denota

Given: The set of data shown

To Determine: The value closest to the standard deviation for the set of data shown

Solution

The formula for finding the standard deviation for a set of data is

Let us first determine the mean

The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

The mean goals scored by the soccer players this season is 18.3 goals

Mean is the ratio of the sum of data to the total sample of data.

If three soccer players are scored 25 goals this season., five soccer players  scored 19 goals this season and ten soccer players scored 16 goals this season, the mean goal scored is expressed as:

Mean goal scored = 3(25)+5(19)+10(16)/3+5+10

Mean goal scored = 75 + 95+160/18

Mean goal scored = 330/18

Hence the mean goals scored by the soccer players this season is 18.3 goals

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Answer

When f(x) = g(x), x = -1

Explanation

We are given that

f(x) = -5x - 11

g(x) = 30x + 24

We are then asked to fing the value of x when f(x) = g(x)

When f(x) = g(x),

-5x - 11 = 30x + 24

-5x - 30x = 24 + 11

-35x = 35

Divide both sides by -35

(-35x/-35) = (35/-35)

x = -1

Hope this Helps!!!

Answer:

\(\textsf{Equations of bisectors:}\quad \begin{cases}3x+11y-10=0\\33x-9y=0\end{cases}\)

\(\textsf{Bisector of acute angle:} \quad 33x - 9y = 0\)

Step-by-step explanation:

To determine the equations of the angle bisectors of two lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0, we can use the formula:

\(\boxed{\dfrac{a_1x+b_1y+c_1}{\sqrt{{a_1}^2+{b_1}^2}}=\pm\dfrac{a_2x+b_2y+c_2}{\sqrt{{a_2}^2+{b_2}^2}}}\)

Let line 3x - 2y + 1 = 0 be defined by the equation a₁x + b₁y + c₁ = 0.

Let line 18x + y - 5 = 0 be defined by the equation a₂x + b₂y + c₂ = 0.

Therefore:

Substitute the values of a₁, b₁, c₁, a₂, b₂, and c₂ into both formulas.

\(\begin{aligned}\dfrac{3x-2y+1}{\sqrt{{3}^2+{(-2)}^2}}&=\dfrac{18x+y-5}{\sqrt{{18}^2+{1}^2}}}\\\\\dfrac{3x-2y+1}{\sqrt{13}}&=\dfrac{18x+y-5}{5\sqrt{13}}\\\\3x-2y+1&=\dfrac{18x+y-5}{5}\\\\5(3x-2y+1)&=18x+y-5\\\\15x-10y+5&=18x+y-5\\\\3x+11y-10&=0\end{aligned}\)

\(\begin{aligned}\dfrac{3x-2y+1}{\sqrt{{3}^2+{(-2)}^2}}&=-\dfrac{18x+y-5}{\sqrt{{18}^2+{1}^2}}}\\\\\dfrac{3x-2y+1}{\sqrt{13}}&=-\dfrac{18x+y-5}{5\sqrt{13}}\\\\3x-2y+1&=-\dfrac{18x+y-5}{5}\\\\5(3x-2y+1)&=-18x-y+5\\\\15x-10y+5&=-18x-y+5\\\\33x-9y&=0\end{aligned}\)

Therefore, the equations of bisectors of the angles between the given lines are:

\(\boxed{\boxed{\begin{aligned}3x+11y-10&=0\\33x-9y&=0\end{aligned}}}\)

\(\hrulefill\)

To identify the bisector of the acute angle, calculate the angle between any one of the bisectors and one of the lines.

The formula for the angle between two lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 is:

\(\tan \theta=\left|\dfrac{a_2b_1-a_1b_2}{a_1a_2+b_1b_2} \right|\)

Let's find the angle θ between the bisector 3x + 11y - 10 = 0, and the line 3x - 2y + 1 = 0.

Therefore:

Substitute the values of a₁, b₁, a₂ and b₂ into the formula for the angle between two lines:

\(\tan \theta=\left|\dfrac{3 \cdot 11-3 \cdot (-2)}{3 \cdot 3+11\cdot (-2)} \right|\)

\(\tan \theta=\left|\dfrac{33+6}{9-22} \right|\)

\(\tan \theta=\left|\dfrac{39}{-13} \right|\)

\(\tan \theta=\left|-3\right|\)

As tan θ > 1, the angle θ between the bisector and the line must be more than 45°. This means that the angle between the two given lines is more than 90°. So 3x + 11y - 10 = 0 is the bisector of the obtuse angle between the given lines. Therefore, the other angle bisector bisects the acute angle.

Therefore, the bisector of the acute angle is:

\(\boxed{\boxed{33x - 9y = 0 }}\)

Note: The attached diagram shows the given lines as black lines, the bisector of the acute angle as the red dashed line, and the bisector of the obtuse angle as the green dashed line.

The equation of the diagonal BD is 2x - 3y + 9 = 0

We have the following parameters

Equation of AC = 3x + 2y - 7 = 0

Coordinate of B = (3, 5)

Make y the subject in the equation

So, we have

y = -3/2x + 7/2

The diagonals BD and AC are perpendicular

This means that

Slope of BD = -1/slope of AC

So, we have

m = 2/3

The equation is then calculated as

y = mx + c

This gives

y = 2/3x + c

Introduce the points

5 = 2/3 * 3 + c

Evaluate

c = 3

So, we have

y = 2/3x + 3

Rewrite as

3y = 2x + 9

This gives

2x - 3y + 9 = 0

Hence, the equation is 2x - 3y + 9 = 0

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