A video game store was getting rid of old games, selling them 3 for $34.26. If you
only bought 1 game, how much would you pay?
а)$11.42
b)$34.26
c)$22.84
d)$13.00

Answer:

a: 0

b: 1,3

c: 2

Step-by-step explanation:

a: 4 is the y intercept meaning 0 is the number of seconds when the ball is 4 feet in the air

b: to easily find this, we can graph.

1st screenshot is for B.

We see that y=52 intersects twice with the graph, meaning the ball was at 52 feet twice. the times are 1 second and 3 seconds

a: we graph again, but with y=68 we see that it only intersects once. at x=2.

The equation of the line is:

\(y = \frac{9}{13}x + 7\)

-----------------------

The equation of a line, in slope-intercept formula, is given by:

\(y = mx + b\)

In which:

\(m = \frac{34 - (-11)}{39 - (-26)} = \frac{45}{65} = \frac{9}{13}\)

Then:

\(y = \frac{9}{13}x + b\)

Point (39, 34) means that when \(x = 39, y = 34\), and this is used to find b.

\(y = \frac{9}{13}x + b\)

\(34 = \frac{9}{13}(39) + b\)

\(27 + b = 34\)

\(b = 7\)

Thus, the equation is:

\(y = \frac{9}{13}x + 7\)

A similar problem is given at https://brainly.com/question/21010520

Answer:

The answer is below

Step-by-step explanation:

Hana has some blue paint. She wants to lighten the shade, so she mixes in 1  cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of  white paint at a time. After adding 4 cups, she decides the color is too light.

How would she express the amount of paint to add to be between too dark and too light.

Solution:

After adding a cup of white paint, the color is still dark, she adds the second cup of paint and the color is still dark. She adds the third cup of paint and the color is still dark but when she adds the fourth cup of white paint, the color became too light.

This means that the amount of paint to add to be between too dark and too light is between the third and fourth cup.

Let w represent the amount of paint to add to be between too dark and too light. Hence:

3 < w < 4

Explanation:

Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.

Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6

Therefore the vector is \(\begin{bmatrix}7\\-6\end{bmatrix}\) which is in a column vector format. A row vector would have the numbers listed horizontally.

Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

The given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.

Any feature, characteristic, or circumstance that can exist in various amounts or types is considered a variable.

Independent, dependent, and controlled variables are typically present in an experiment.

The variable that is altered by the scientist is the independent variable.

A false correlation between two variables indicates that their correlation coefficient is almost zero.

When two variables have a strong correlation, altering the value of one will not affect the other.

Therefore, the given statement "a change in the value of one variable will result in a change in the value of the other when the two variables are highly linked" is FALSE.

Know more about variables here:

https://brainly.com/question/82796

#SPJ4

The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.

This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.

Learn more about interpretation here

https://brainly.com/question/10737299

#SPJ11

There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.

The following are the steps to find the number of positive factors of a number:

Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:

24 = 2 × 2 × 2 × 3

Step 2: Same bases should be added in powers. So, the factors we can write as

24 = 2³ × 3¹

Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.

I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.

So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.

It is given that, m, p, and t are distinct positive prime numbers.

Then, the number of positive divisors greater than 1 for the number m³pt are

m³× p × t

Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,

N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16

So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.

Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.

Learn more about prime factorization and the number of factors formula at the following link:

https://brainly.com/question/16358473

#SPJ4

Answer:

x=-3

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

6x = 3(x-4) - x

6x = 3x - 12 -x

6x = 3x - x - 12

6x = 2x - 12

6x - 2x = 12

4x = 12

x = 3

the ratio of flour to sugar is:

flour : sugar= 4 : 2 = 2 : 1

Answer:

2:1, 2 to 1, or 2/1

Step-by-step explanation:

Devide 4 and the two by two and it makes it 2:1

The carrot ate by Fluffy the bunny at the night will be equal to 2/4 or 1/2.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Carrot ate by bunny in the morning = 1/4

Then, carrot left after ate by bunny = 1- 1/4 = 3/4

Assume that the amount of carrot ate at the night be x.

Then, the carrot left = 1/4

So, the equation will be,

3/4 - x = 1/4

x = 3/4 - 1/4

x = 2/4 or,

x = 1/2.

To know more about equation:

https://brainly.com/question/29657983

#SPJ5

Answer:

The angle between the two vectors is 84.813°.

Step-by-step explanation:

Statement is incomplete. Complete form is presented below:

Let be (6,-3, 1) and (8, 9, -11) vector with same origin. Find the angle between the two vectors.

Let \(\vec u = \langle 6, -3, 1 \rangle\) and \(\vec v = \langle 8,9,-11 \rangle\), the angle between the two vectors is determined from definition of dot product:

\(\theta = \cos^{-1} \left(\frac{\vec u \,\bullet \,\vec v}{\|\vec u\|\cdot \|\vec v\|} \right)\) (1)

Where:

\(\vec u\), \(\vec v\) - Vectors.

\(\|\vec u\|\), \(\|\vec v\|\) - Norms of each vector.

Note: The norm of a vector in rectangular form can be determined by either the Pythagorean Theorem or definition of Dot Product.

If we know that \(\vec u = \langle 6,-3,1 \rangle\) and \(\vec v = \langle 8, 9,-11 \rangle\), then the angle between the two vectors is:

\(\theta = \cos^{-1}\left[\frac{(6)\cdot (8) + (-3)\cdot (9) + (1)\cdot (-11)}{\sqrt{6^{2}+(-3)^{2}+1^{2}}\cdot \sqrt{8^{2}+9^{2}+(-11)^{2}}} \right]\)

\(\theta \approx 84.813^{\circ}\)

The angle between the two vectors is 84.813°.

Answer:Combinations = 36Permutations = 72

The formula for the combination is given by;

C(n, r) = n! / (r!(n - r)!)

The formula for permutation is given by;

P(n, r) = n! / (n - r)!

The question asks us to find the number of combinations and permutations of 9 objects taken 2 at a time.

That is r = 2.

We shall substitute the values of n and r in the formulas for both combinations and permutations.

Formula for combination:

We are to find the number of combinations of 9 objects taken 2 at a time. We can obtain this using the formula for combination;

C(n, r) = n! / (r!(n - r)!)C(9, 2) = 9! / (2!(9 - 2)!)

C(9, 2) = 9! / (2!7!)C(9, 2) = (9 × 8 × 7!) / (2!7!)

C(9, 2) = (9 × 4)C(9, 2) = 36

Therefore, there are 36 combinations of 9 objects taken 2 at a time.

Formula for permutation:

We are to find the number of permutations of 9 objects taken 2 at a time. We can obtain this using the formula for permutation;

P(n, r) = n! / (n - r)!

P(9, 2) = 9! / (9 - 2)!

P(9, 2) = 9! / 7!

P(9, 2)= (9 × 8 × 7!) / 7!

P(9, 2) = (9 × 8)

P(9, 2) = 72

Therefore, there are 72 permutations of 9 objects taken 2 at a time. Answer:
Combinations = 36

Permutations = 72

To know more about Permutations

#SPJ11

We have been given 9 objects and we are asked to find both the number of combinations and the number of permutations when 2 objects are selected from them.

We can use the following formulas to find the required values:

Number of Combinations: nCr = n! / (r! * (n - r)!)

Number of Permutations: nPr = n! / (n - r)!

Where,

n is the total number of objects

r is the number of objects taken at a time.

Number of Combinations:For 9 objects taken 2 at a time, the number of combinations can be calculated as:

nCr = 9! / (2! * (9 - 2)!)nCr = (9 x 8) / (2 x 1)nCr = 36

Therefore, the number of combinations for 9 objects taken 2 at a time is 36.

Number of Permutations:For 9 objects taken 2 at a time, the number of permutations can be calculated as:

nPr = 9! / (9 - 2)!nPr = 9! / 7!nPr = (9 x 8 x 7!) / 7!nPr = 72

Therefore, the number of permutations for 9 objects taken 2 at a time is 72.

To know more about Permutations , visit ;

https://brainly.com/question/1216161

#SPJ11

Answer:

28

Step-by-step explanation:

I hope this helps!!!

Answer:

A 2-column table with 6 rows. Column 1 is labeled Tables with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Chairs with entries 6, 12, 18, 24, 30, 36.

Rachel is setting up for her birthday. Rachel wants to put the same number of chairs around each table. How many chairs will Rachel place around each table at her birthday party?

✔ 6

Step-by-step explanation:

got it right on edge

Answer:

Both volumes are the same

Step-by-step explanation:

Volume of cylinder = \(\pi\)\(r^{2} h\)

r = radius

h = height

Since area of the circle is given on top,

Area of a circle = \(\pi\)\(r^{2}\)

We know the area is 12

12 = \(\pi\)\(r^{2}\) (we need to find r)

r = \(\sqrt{\frac{12}{\pi} }\)

r = 1.954

Now we can find the cylinder's volume:

Volume of cylinder = \(\pi\)\((1.954)^{2}\) (6)

Volume of cylinder = 72

To find the volume of the cuboid, we use

Volume of cuboid = lwh

l = length

w = width

h = height

Volume of cuboid = 6 x 4 x 3

Volume of cuboid =  72

This proves that both the volumes are the same.

Answer:

30

Step-by-step explanation:

Let the number of child tickets sold be \(x\), then the number of adult tickets sold will be \(2x\).

Then the amount made from child tickets will be \(5.2x\), and \((9*2x)=18x\) for adults.

So we have

\(5.2x+18x=696\\23.2x=696\\x=30\)

So 30 child tickets were sold that day.

Let x be the full price of each Mighty Mare toy pony.

During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:

x - $3

Since she bought 4 of these toys, her total cost during the sale was:

4(x - $3)

We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:

4(x - $3) = $52

Simplifying this equation, we get:

4x - $12 = $52

Adding $12 to both sides, we get:

4x = $64

Dividing both sides by 4, we get:

x = $16

Therefore, each Mighty Mare toy pony costs $16 at full price.

Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.

To find the equation that represents this situation, we can set up the equation based on the given information:

4 * (x - 3) = 52

In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.

By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.

The 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.

To construct an 80% confidence interval estimate of the average browsing time for the population of crownfashion.com visitors this week, we can use the following formula:

Confidence Interval = \(\bar{X}\) ± Z \(\times\)  (σ/√n)

Where:

\(\bar{X}\) is the sample mean (average browsing time) = 13.6 minutes,

Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28),

σ is the population standard deviation = 5.2 minutes,

n is the sample size = 49.

Plugging in these values, we can calculate the confidence interval as follows:

Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/√49)

Simplifying the expression:

Confidence Interval = 13.6 ± 1.28 \(\times\) (5.2/7)

Confidence Interval = 13.6 ± 1.28 \(\times\) 0.742857

Confidence Interval = 13.6 ± 0.951428

The lower bound of the confidence interval is 13.6 - 0.951428 = 12.648572, and the upper bound is 13.6 + 0.951428 = 14.548572.

Therefore, the 80% confidence interval estimate for the average browsing time is approximately 12.648572 minutes to 14.548572 minutes.

The margin of error indicated by the interval is half of the width of the confidence interval, which is (14.548572 - 12.648572) / 2 = 0.95 minutes.

For similar question on confidence interval.

https://brainly.com/question/16974109  

#SPJ8

The linear inequality that will represent given graph is y<-10x+300.

What are linear inequalities, exactly?

Linear inequalities are mathematical expressions that compare two linear functions and determine the relationship between them. They are similar to linear equations but instead of an equal sign, they use inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "!=" (not equal to).

A linear inequality can be represented by an algebraic expression in the form of:

ax + by < c, where a, b, and c are constants, and x and y are variables.

Now,

The general form of a line is

y=mx+c

take two points on the given line

(5,250)  and (30,0)

then m=slope=(0-250)/(30-5)=-250/25

=-10

and

0=-10*30+c

c=300

then equation is y=-10x+300

and inequality will be y<-10x+300.

To know more about linear inequalities visit the link

brainly.com/question/11897796

#SPJ1

Answer:

the answer for your question is 25

The outer layer in a data set of plague amounts refers to outliers or extreme values. The presence of outliers in a data set can have a significant effect on the measures of central tendency, particularly the mean and median.

Outliers are data points that fall significantly far from the majority of the data, either higher or lower. The mean is calculated by adding together all the values and dividing by the total number of values, and outliers can significantly affect this calculation.

On the other hand, the median only considers the position of the middle value, making it more resistant to the impact of outliers. Therefore, it is important to identify the outer layer or outliers in a data set of plague amounts to understand their impact on the measures of central tendency, particularly the mean.

To learn more about median follow the link:

https://brainly.com/question/28060453

#SPJ4

The equation y = 3/4x describes the relationship

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

Read more about linear equations at

https://brainly.com/question/4074386

#SPJ1

The exact value of the expression is -1.

The expression involves tan 25° and tan 110°. The expression you provided is:

tan 25° + tan 110° / (1 - tan 25° tan 110°)

First, we need to recognize that tan (180° - x) = -tan x. Since 110° = 180° - 70°, we have:

tan 110° = -tan 70°

Now, we can rewrite the expression as:

tan 25° - tan 70° / (1 + tan 25° tan 70°)

Next, we can apply the tangent addition formula, which is:

tan (a - b) = (tan a - tan b) / (1 + tan a tan b)

Comparing this formula with our expression, we see that a = 25° and b = 70°. So, the expression simplifies to:

tan (25° - 70°) = tan (-45°)

Since tan (-x) = -tan x, we have:

tan (-45°) = -tan 45°

Lastly, we know that tan 45° = 1, so:

-tan 45° = -1

Therefore, the exact value of the expression is -1.

Visit here to learn more about tangent:

brainly.com/question/19064965

#SPJ11

Answer:

90%

Step-by-step explanation:

cost price of both tv = 2500

sale price of undamaged = 3000

sale price of damaged = 2200

sale price of both tv = 5200

profit = sale price - cost price

profit = 5200 - 2500

profit = 2700

profit percentage = profit × 100 ÷ cost price

profit percentage = 2700 × 100 ÷ 2500

profit percentage = 90%

The coefficient of determination is 0.233, then 23.3% of the variation in the data about the regression line is explained.

The coefficient of determination, represented by R2, is a measure of how much of the variation in the data is explained by the regression line. It is calculated by squaring the correlation coefficient, R.

If the coefficient of determination is 0.233, then the percentage of the variation in the data about the regression line that is explained is 23.3%. This is calculated by multiplying the coefficient of determination by 100 to convert it to a percentage.

In other words, 23.3% of the variation in the data is explained by the regression line, and the remaining 76.7% of the variation is unexplained.

It is important to note that the coefficient of determination does not indicate causation, but rather the strength of the relationship between the independent and dependent variables.

For more similar questions on regression:

brainly.com/question/25311696

#SPJ11

Answer:

Value of x = 5 feet

Step-by-step explanation:

Given:

Volume of cone = 75π cubic feet

Missing information;

Height of cone = 9 feet

Radius of cone = x

Find:

Value of x

Computation:

Volume of cone = (1/3)(π)(r²)(h)

75π = (1/3)(π)(x²)(9)

75 = (1/3)(x²)(9)

75 = (x²)(3)

x² = 75 / 3

x² = 25

x = √25

Radius of cone = 5 feet

Value of x = Radius of cone

Value of x = 5 feet

Answer:

I got 512.

Step-by-step explanation:

You add 3+5 but you multiply it by 3 to get 512

Answer:

Below

Step-by-step explanation:

How many ounces of fish are needed to provide 60 gm of protein?

20 gm / 3 oz  * 9 oz = 60 gm

In a 45°-45°-90° triangle, the sides are in a specific ratio. Let's use the given information to find the missing side length(s). The missing side length is 2√2 cm.

Given:

Hypotenuse = 1 in

Leg = 2 cm

In a 45°-45°-90° triangle, the ratio of the sides is as follows:

Leg : Leg : Hypotenuse = 1 : 1 : √2

We have one side length, the leg, as 2 cm. Let's find the missing side lengths.

Using the ratio, we can set up the following equations:

Leg = 1

1 : 1 : √2 = 2 : x : 1

Solving for x, we can use the ratio to find the missing side length(s).

2/1 = x/√2

Cross-multiplying, we get:

2√2 = x

Therefore, the missing side length is x = 2√2

To rationalize the denominator, we multiply both the numerator and denominator by √2:

x = 2√2 * (√2/√2) = 2√4/√2 = 2 * 2/√2 = 4/√2

Rationalizing the denominator further, we multiply both numerator and denominator by √2:

x = (4/√2) * (√2/√2) = 4√2/2 = 2√2

To learn more about Hypotenuse click here: https://brainly.com/question/16893462

#SPJ11