A basketball player averages 12,5 points per game. There are 24 games in a season. At this rate, how many points
would the player score in an entire season?
In the entire season, the basketball player would score
points.
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15 of 15

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:25.45

Step-by-step explanation:

52936/1 year x 1 year/52 weeks x 1 week/40hours

Answer:

The smaller number = -1

The larger number = 3

Step-by-step explanation:

Let the smaller number = a

Let the larger number = b

The larger of two numbers is 6 more than 3 times the smaller.

b = 3a + 6........... Equation 1

If the twice the larger number is increased by 3 times the smaller, the result is 3.

2b + 3a = 3........ Equation 2

Hence:

We Substitute 3a + 6 for b in Equation 2

2b + 3a = 3

2(3a + 6) + 3a = 3

6a + 12 + 3a = 3

9a = 3 - 12

9a = -9

a = -9/9

a = -1

b = 3a + 6........... Equation 1

b = 3(-1) + 6

b = -3+ 6

b = 3

Therefore,

The smaller number = -1

The larger number = 3

Work Shown:

We have 9 sides of this polygon. See the diagram below. So n = 9

Plug that into the formula below to find the sum of the interior angles

S = 180(n-2)

S = 180(9-2)

S = 180*7

S = 1260

Answer:

D) 48

Step-by-step explanation:

area = length x width x height

8 x 2 x 3

16 x 3 = 48

keeping in mind that a year has 12 months, thus 18 months is really 18/12 of a year, so

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4300\\ r=rate\to 5.1\%\to \frac{5.1}{100}\dotfill &0.051\\ t=years\to \frac{18}{12}\dotfill &\frac{3}{2} \end{cases} \\\\\\ A=4300[1+(0.051)(\frac{3}{2})] \implies A=4628.95\)

The inequality to interval notation. (−∞,−6) ( - ∞ , - 6 ).

What exactly is interval notation?

Interval Notation x<-6. x<−6 x < - 6.

 Convert the inequality to interval notation. (−∞,−6) ( - ∞ , - 6 ).

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Check the picture below.

If Catarina’s boat has come untied and floated away on the lake. She is standing atop a cliff that is 35 feet above the water in a lake. Approximately the distance from the cliff is Catarina’s boat is : 63.6ft.

Distance can be defined as how far an object is from another object.

Now let find the distance:

AE/CD = BC/DE

Hence,

5.5/3.5 = 10/DE

Cross multiply

AE = 350/5.5

AE = 63.6ft

Therefore we can conclude that the distance is 63.6ft.

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To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.

Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.

The reasoning behind this is as follows:

Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.

Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.

In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.

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Answer:

B.the probability of buying bread and cheese is 0.12

Step-by-step explanation:

The probability of buying bread and cheese is 0.12.

The correct answer is option B.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To determine if events A and B are independent,

We need to check if the occurrence of one event affects the probability of the other event.

If the events are independent, the probability of both events occurring can be calculated by multiplying the probabilities of each individual event.

Now,

Let A be the event that a shopper buys bread, and B be the event that a shopper buys cheese.

Then, we know that:

P(A) = 0.60 (the probability of buying bread)

P(B) = 0.20 (the probability of buying cheese)

If A and B are independent events, then the probability of both events occurring (i.e., the shopper buys both bread and cheese) is given by:

P(A and B) = P(A) x P(B)

Substituting the given values.

P(A and B)

= 0.60 x 0.20

= 0.12

This means that the probability of a shopper buying both bread and cheese is 0.12 if events A and B are independent.

Therefore,

The probability of buying bread and cheese is 0.12.

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The simplified form of the expression 29 - ( 11 - 2³ ) + 6² ÷ 4 is 35

Given the expression in the question;

29 - ( 11 - 2³ ) + 6² ÷ 4

To simply, replace 2 raised to the power of 3 with 8 and 6 raised to the power of 2 by 36

29 - ( 11 - 2³ ) + 6² ÷ 4

29 - ( 11 - 8 ) + 36 ÷ 4

Now, remove the parenthesis by performing the operation inside the parenthesis.

29 - ( 11 - 8 ) + 36 ÷ 4

29 - 3 + 36 ÷ 4

Now, divide 36 by 4

29 - 3 + 36 ÷ 4

29 - 3 + 9

Next, add -3 and 9

29 + 6

Add 29 and 6

35

Therefore, 35 is the simplified form of the expression.

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Square Area = side x side = 3x3 = 9

Rectangle Area = side x side= 7x3= 21

9 + 21 = 30 square inches

Answer:

30 square inches

Step-by-step explanation:

   \(\boxed{\text{\bf Area of rectangle = length *width}}\)

Rectangle1:

     Area = 6 * 3

              = 18 square inches

Rectangle2:

Area = 4 * 3

          = 12 square inches

Area of the figure = area of rectangle1 + area of rectangle2

                             = 18 + 12

                             = 30 square inches

Answer:

C

Step-by-step explanation:

The answer would be C because the bottom line hits the -3/4 and the top line adds on 1 1/4, which would give you the answer of 1/2.

Answer:

Step-by-step explanation:

a = x

b = 2x^2

ab = x * 2x^2

ab = 2 x^3

2ab = 4 * x^3

Im sorry if you get this wrong but im going with 14 only because i did this question with my class in school and a boy said 14 and got it right.

Answer:

28

Step-by-step explanation:

there are bigger triangles in the triangles pls dont remove

The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer:

7.7 pounds = 3.5 kilograms

Step-by-step explanation:

Given that,

Weight of a gallon of liquid = 7.7 pounds

We need to find weight in kilograms.

We must know the relation between pounds and kilograms and it is as follows :

1 kilogram = 2.20 pounds

or

1 pounds = (1/2.2) kilograms

7.7 pounds = (7.7/2.2) kilograms

= 3.5 kilograms

Hence, 7.7 pounds is equal to 3.5 kilograms.

the answer is D

The figure can be divided into a rectangle and 2 triangles

Answer: 80/89

Step-by-step explanation:

Answer:

80/89

Step-by-step explanation:

delta math told me

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Answer:

16 are oak trees

Step-by-step explanation:

2/9 of 72=

16

thus making the answer 16 oak trees

Answer:

Hi there!

Your answer is:

16 of the trees are Oak trees!

Step-by-step explanation:

72÷ 9= 8

8× 2= 16

Check your work!

16× 4 + (16/2) should equal 72!

and it does!

Hope this helps

Answer:

70

Step-by-step explanation:

Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.

The answer is ,The polygon has 3 sides

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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Count the multiples of 12:

⌊1000/12⌋ = 83

(where ⌊x⌋ denotes the "floor" of x, or the largest integer that is less than or equal to x)

These are the integers

{12, 24, 36, 48, …, 996}

Count the multiples of 15:

⌊1000/15⌋ = 66

These are

{15, 30, 45, 60, …, 990}

Count the multiples of both 12 and 15; these are multiples of LCM(12, 15) = 60:

⌊1000/60⌋ = 16

These are

{60, 120, 180, 240, …, 960}

Now use the inclusion/exclusion principle to count the multiples of either 12 or 15, but not both:

83 + 66 - 2•16 = 117

Among the multiples of 12 and the multiples of 15, we count the numbers that are multiples of both 12 and 15. By subtracting the number of multiples of both (16), we get the count of integers that are either divisible by 12 or 15. We subract 16 again to remove those that are divisible by both 12 and 15.

Answer:

17$

Step-by-step explanation:

25-8=17

Answer:

C

Step-by-step explanation:

Answer:

I think C. -2×8

Step-by-step explanation:

bc for 8 days it is going down 2 degrees