. Seth’s father is thinking of buying his son a six-month movie pass for $40. With the
pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times must
Seth attend in order for it to benefit his father to buy the pass?

Answer:

C

Step-by-step explanation:

It's the only graph that doesn't constantly have its y value increasing the same value each time.

(2 to 6 is +4, 6 to 10 is +4, but 10 to 16 is not +4)

Answer:

C

Step-by-step explanation:

Because you see from Point (-4, 2) to (0,6), the y increases by 4, and the x increase by 4. Same thing from (0,6) to (4,10). But from (4,10) to (8,16) the y increase by 6 so it is the wrong slope.

Answer: $0.69

Step-by-step explanation: Divide $3.45 by 5 :)

The height of the cable from the road at a point 150 feet from the center of the bridge is 12.5 feet.

The equation for a parabolic cable is given by

y = ax^2 + bx + c

where x is the horizontal distance from the center of the bridge, y is the height of the cable from the road and a, b, and c are coefficients determined by the shape of the cable.

The height of the cable at the center of the bridge is 0

so, c = 0

The height of the cable at the towers is 80 feet

so, at x = ±300 feet, y = 80

Plugging in these two points into the parabolic equation, we can solve for a and b.

Using the formula

[tex]y = ax^2 + bx[/tex]

we have two equations:

[tex]80 = a * (300)^2 + b * 300 and 0 = a * (0)^2 + b * 0[/tex]

Solving for a and b, we find that

a = -0.000167 and b = 50

Finally, at x = 150 feet from the center,

the height of the cable from the road is

[tex]y = -0.000167 * (150)^2 + 50 * 150 = 50 - 0.000167 * 22500 = 50 - 37.5 = 12.5 feet.[/tex]

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Answer:

A=√16(16-14)(16-12)(16-6)

what is the height

1) The new coordinate of the triangle is gotten by the transformation rule; 180° counterclockwise

2) The coordinates of the point T' are; T'(2, 8)

1) The coordinates of the triangle XYZ are;

X(1, 2), Y(3, 5), Z(-3, 4)

The coordinates of the transformed triangle X'Y'Z' are;

X'(-1, -2), Y'(-3, -5), Z'(3, -4)

The transformation rule here is; (x, y) → (-x, -y)

This is a rotation of 180 degrees counterclockwise about the origin

2) The coordinates of the line are given as;

S(6, -1) and T(2, -8)

A rotation of 210° clockwise gives the transformation rule:

(x, y) → (x, -y)

Thus, we have the new coordinate of T as; T'(2, 8)

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The linear equation shows a proportional relationship is y = 2x.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given the equation to find the linear equation shows a proportional relationship,

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Particularly, when the y-intercept is equal to zero:

y = a*x

We get a proportional relationship.

so the option for the proportional relationship is

y = 2x

Hence option D is correct.

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The slice was made perpendicular to the face BCEH.

The right rectangular prism has four rectangle-shaped lateral faces and two parallel end faces that are perpendicular to each of the bases. Parallelograms make up the faces of an oblique prism, a non-right rectangular prism. Another name for a right rectangular prism is a cuboid.

Given, The right rectangular prism in Figure has been sliced with a plane perpendicular to BCEH.

ZY = 6 inch

If we focus on ∠X of the slice, since it is a right angle, we know that WX must be perpendicular face to BCEH.  Wx lies in face of ABCD, which is perpendicular to both BCEH and ABCD, so WX is perpendicular to ABCD.

This means that WX must also be perpendicular to WZ.  A similar argument can be made for ∠Yof the slice, making all four angles of WXYZ right angles and making WXYZ a rectangle.

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The value for question 5 is 15 and for the question 6 is 10.

This theorem says that if two chords intersect, the product of its segments will be equal.

The question gives two circles each one with two chords. For solving the exercise, you should apply the Chord Theorem.

        Segments of chord 1 = 23 and x

        Segments of chord 2 = 23 and 15

Applying the  Chord Theorem, you have:

23*x=23*15

23x=345

x=345/23

x=15

        Segments of chord 2= x+5 and 28

        Segments of chord 2 = 2x and 21

Applying the Chord Theorem, you have:

(x+5)*28=2x*21

28x+140=42x

-42x-28x=-140

-14x=-140

x=-140/-14

x=10

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The difference between the experimental Ka and the actual value of Ka could be due to several factors:

It is important to control these sources of error in order to obtain more accurate results. Further investigation and repeat experiments may be necessary to confirm the experimental Ka value and minimize the error.

Complete question:

The actual value of  Ka is  1.78∗10^−5. What could be some reasons for the error between our experimental Ka = 2.19*10^-5 and actual values? CH3COOH⇋H++CH3COO−  To start, we mix the following ingredients in a beaker: 20 ml of 0.02M Acetic Acid 20 ml of 0.02M Sodium Acetate Methyl Red Bromocresol Green The ph was 4.66

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There are 15 test scores that are 85 or greater out of a total of 30 test scores.

The third quartile, Q3, is the median of the upper half of the set of data. To determine the number of test scores that are 85 or greater, we must first find the median of the upper half of the data set. The formula to calculate the median is

Median = (n+1)/2

where n is the number of observations in the data set. In this case, n is 30. Plugging this into the formula we get

Median = (30+1)/2 = 15.5

Therefore, there are 15.5 test scores that are 85 or greater.

To calculate the number of test scores that are 85 or greater, we subtract 15.5 from 30. This gives us 14.5 test scores that are 85 or greater. Since 14.5 is not a whole number, we can round up to 15 test scores that are 85 or greater. Therefore, there are 15 test scores that are 85 or greater out of a total of 30 test scores.

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The volume of the solid with the semicircular base is equal to 2250π units³

In general term integral value means the value obtained after integrating or adding the terms of a function which is divided into an infinite number of terms .

Given here: A solid with a semi circular base with radius = 15 units

We know the the equation of the circle with its center at the origin is given by

x²+y²=15²

[tex]y=\sqrt{15^2-x^2}[/tex]

Thus constructing the integral we get

 [tex]\int\limits^{15}_{-15} \ \pi .\frac{1}{2}.( {15^2-x^2}} )\, dx[/tex]

=-πx.(x²-675) /6 +C |¹⁵₋ ₁₅

=2250π

Hence, The volume of the solid with the semicircular base is equal to 2250π units³

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The length of the sides of the triangle is, 11 cm.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

A median drawn on the side of an equilateral triangle divides its perimeter into 20 cm and 13 cm parts.

Here, The perimeter of an equilateral triangle = 20 + 13

                                                                       = 33 cm

Since, The triangle is an equilateral triangle.

Hence, All the sides are equal.

Let the side of an equilateral triangle = x

Hence, We get;

⇒ x + x + x = 33 cm

⇒ 3x = 33 cm

⇒ x = 11 cm

Thus, Each side of an equilateral triangle = 11 cm

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13.50

40 - 26.50 = 13.50 because

50 + 50 is 100, so that's 1.00

26+13=39 + that 1.00 = 40

The probability that all 3 cards are clubs will be 0.0129

To find the chance that all three cards are clubs,

We can use the following formula:

[tex]P(\text{all 3 are clubs}) = \frac{\text{number of favorable outcomes}}{\text{number of possible outcomes}}[/tex]

The number of favorable outcomes is the number of ways to choose 3 clubs from the 13 clubs in the deck, which is given by the given binomial coefficient [tex]{13 \choose 3} = 286[/tex]

The number of possible outcomes is the number of ways to choose 3 cards from the deck, which is given by the binomial coefficient [tex]{52 \choose 3} = 22,!100[/tex]

Therefore, the value of the probability that all 3 cards are clubs is:

[tex]P(\text{all 3 are clubs}) = \frac{\text{number of favorable outcomes}}{\text{number of possible outcomes}} \\= \frac{286}{22,!100} \\\approx 0.0129[/tex]

Rounding to 3 decimal places, the answer is 0.013.

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The complete questions should be:

A standard deck of cards has 52 cards. There are 4 suits clubs, diamonds, hearts, and spades each of which has 13 cards. Suppose you draw 3 cards without replacement. What is the chance that all three are clubs? Round your answer to 3 decimal places

Answer:

112 in

Step-by-step explanation:

Before starting, it is important to know that lateral surface area is the sum of the area of all sides of a figure, not including the bases. Now that that is established, attached is an image with how to find the lateral surface area:

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Answer:

2

Step-by-step explanation:

The solution set of the inequality is the graph B.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

The given inequality is 3x > 12.

We have to solve the inequality.

3x > 12

Dividing both sides of the inequality by 3, we get,

3x / 3 > 12 / 3

x > 4

Solution set contains all points greater than 4, but not 4.

This solution set is shown in the graph B with the open circle at point 4.

Hence graph B shows the solution set of the inequality.

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A ratio that compares the number of loaves of rye bread to the number of loaves of wheat bread is 3:8.

A ratio is a relative size of a value compared to another.

Ratios are given as quotients from division operations between the numerators and the denominators.

Ratios can also be represented as fractional values using decimals, fractions, and percentages.

Most often, the ratio symbol (:) is used to depict the numerical relationships between values.

The number of loaves of wheat bread = 8

The number of loaves of rye bread = 3

The ratio to describe and compare the number of loaves of rye bread to the number of loaves of wheat bread is 3:8

The sum of ratios = 11 (3 + 8).

Thus, relatively, the restaurant worker used 3 loaves of rye bread and 8 loaves of wheat bread to make the sandwiches.

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The unit rate is equal to 3 dollars per book.

The unit rate can be determined by dividing the total amount of money raised by the number of books sold.

In the context of the situation, the point (6, 18) means 6 books were sold to raise a total amount of $18.

In Mathematics, the unit rate is sometimes referred to as unit price and it can be defined as the price that is being charged by a seller for the sale of a single unit of product.

In order to determine the unit price, we would use the following mathematical expression;

Unit price = Total raised/Number of books sold

Unit price = 6/2 = 12/4 = 18/6 24/8

Unit price = 3 dollars per book.

In conclusion, we can reasonably infer and logically deduce that the point (2, 6) means 2 books were sold at Garfield Elementary to raise a total amount of $6.

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A “full house” (3 cards of one kind and 2 cards of another kind)

Since there are 13 sets of each type, we have to select any 2 kinds of it.

The probability becomes : 2× ¹³C2 × ⁴C3 × ⁴C2 : ^52C5

On simplification,

= 3744 / 2598960

= 0.00144

So the probability of a “full house” is 0.00144.

Probability is a measure of the probability that an event will occur in future. Probability is expressed between 0 to 1 or in percentage".

There are three important things in discussing probability, namely trials (experiment), result (outcome). and events.

For example, the activity of tossing coins will result in the appearance of images or numbers, the activity of buying and selling shares will result in buying or selling events.

So the outcome is all the possible events that will occur as a result of an experiment or activity.

Events show the results that occur from an event. In every experiment or activity there is only one possible outcome. In the activity of buying and selling shares, if you don't buy, it means selling. When prices change, inflation or deflation occurs.

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The probability of selecting exactly 2 white marbles out of 5 marbles from container b is approximately 0.144 or 14.4%.

To calculate the probability of selecting exactly 2 white marbles out of 5, we can use the binomial coefficient formula, which is given by:

P(X=k) = (n choose k) × [tex]p^{k}[/tex] × [tex]1-p^{n-k}[/tex]

where n is the total number of trials (in this case, 5), k is the number of successful outcomes (in this case, 2), p is the probability of success (in this case, the probability of selecting a white marble), and (n choose k) is the binomial coefficient.

First, let's find the probability of selecting a white marble from container B, which is given by:

p = (number of white marbles) / (total number of marbles) = (300 + 1) / (300 + 100 + 1) = 301 / 401

Next, we can use the formula to find the probability of selecting exactly 2 white marbles:

P(X=2) = (5 choose 2) × p² * (1-p)⁽⁵⁻²⁾ = (10) × (301/401)² × (100/401)³ = 0.144

So the probability of selecting exactly 2 white marbles out of 5 is approximately 0.144 or 14.4%.

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This system of equations has been solved graphically and by using substitution: it has infinitely many solutions.

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

x = 3y + 2     ......equation 1.

5x - 15y = 10     ......equation 2.

By substituting equation into equation 2, we have the following:

5(3y + 2) - 15y = 10

15y + 10 - 15y = 10

15y - 15y = 10 - 10 (infinitely many solutions)

Based on the graph (see attachment), we can logically deduce that the given system of equations has infinitely many solutions.

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The amount in the account after 18 years will be about $24,459.2.

Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.

Final amount in a compound interest can be calculated as,

A = P (1 + [tex]\frac{r}{n}[/tex] ) ^ (n t)

Here, A is the final amount, P is the principal amount, n is the number times interest is compounded in a year, r is the rate of interest and t is the time in years.

Here, P = $10,000

r = 5% = 0.05

n = 4, since the compounding is quarterly

t = 18 years

Substituting,

A = 10,000 (1 + [tex]\frac{0.05}{4}[/tex])^ (4 × 18)

  = 10,000 (1.0125)⁷²

  = 24,459.2

Hence there will be an amount of $24,459.2 in the account after 18 years.

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If we randomly select someone who was aboard the titanic, what is the probability that person is a man, given that he died is 1360/1517.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty. For pupils in Class 10, probability is a crucial subject since it teaches all the fundamental ideas of the subject. One is the probability of every event in a sample space.

Probability that person is a man, given that he died,

P(x) = Favorable outcome/Total

= 1360/ 1517.

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The number of gigabytes of data she can use while staying within her budget is 4.2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 6 is an equation.

We have,

Cost of the flat per month = $51.50

Cost per gigabyte = $3

g = the number of gigabytes.

Now,

Maximum cost per month = $64.10

We can make an equation.

51.50 + 3g = 64.10

Solve for g.

51.50 + 3g = 64.10

Subtract 51.50 on both sides.

3g = 64.10 - 51.50

3g = 12.6

Divide 3 into both sides.

g = 12.6/3

g = 4.2

Thus,

The number of gigabytes she can use is 4.2.

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Answer:

4 tons

Step-by-step explanation:

A ton weights 2000 pounds.

The number of tons of cargo the truck carry is 36300 tons.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Weight= 8000 pounds

Now,

We can do:

20008000​=4

The truck carries 4 US tons of cargo.

Similarly, if we want to use the imperial ton or the metric ton, we can do:

22408000​≈3.57

2204.62268000​≈3.63

Therefore, by unitary method the answer will be 36300 tons.

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Answer: The number of pounds of sugar in 50% of syrup is 2.5 pounds.

Step-by-step explanation:

What is the percentage?

The percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Anton wants to make 5 pounds of sugar syrup.

Let x be the number of pounds of sugar.

A) x/5 =50%

x=0.5×5

x=2.5 pounds

B) x/5 =5%

x/5 =0.05

x=0.25 pounds

C) x/5 =75%

x=0.75×5

x=3.75 pounds

D) x/5 =1.5%

x/5 =0.015

x=0.075 ponds

The Speed at which Nick paddles is 13.60 miles per hour.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Nick's speed= S and the current is flowing at a rate of 5 miles per hour.

Now it is given that the it takes 30 minutes longer to row upstream than down stream.

Thus we can construct the equation

8/S-5 -8/S+5 = 30 minutes or 1/2 hour

Where 8 is the distance

Thus solving for S we get

8S+40-8S+40 / S²-25 =1/2

80×2=S²-25

160=S²-25

S²=185

S=13.60 miles per hour

Hence, The Speed at which Nick paddles is 13.60 miles per hour.

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Answer:use a plane and then you plot the points then count the spaces then u count to half the spaces and then look for the numbers on the places and then u have the central point.

Step-by-step explanation: