Ahmad has scored 11, 25, 27, 25, and 25 points in his five basketball games so far. How many points does he need to score in his next game so that his average (mean) is 23 points per game?
A chemical plant takes in 5 1/2 million gallons of water from a local river and discharges 3 2/3 million back into the river. How much water does not go back into the river?
you put $1205 in an account that earns 2.5% simple interest. Find the total amount in the account after four years
To find the total amount after four years with simple interest, you calculate the interest earned ($1205 x 0.025 x 4 = $120.50) and then add it to the principal ($1205 + $120.50 = $1325.50).
To calculate the total amount in the account after four years with simple interest, we use the formula:
Simple Interest (SI) = Principal (P) x Rate (R) x Time (T)
For the given scenario:
Principal (P) = $1205Rate (R) = 2.5% or 0.025 (as a decimal)Time (T) = 4 yearsWe first calculate the simple interest earned:
SI = $1205 x 0.025 x 4 = $120.50
The total amount in the account after four years will be the sum of the principal and the simple interest earned:
Total Amount = Principal + Simple Interest
Total Amount = $1205 + $120.50 = $1325.50
What is the area of the shaded region?
area of larger triangle = 1/2 x 5 x (6+4+2) =30 square mm
area of non shaded triangle = 1/2 x 3 x 4 = 6 square mm
area of shaded area = 30-6 = 24 square mm
How can you use subtraction to describe division?
Which of the following activities are examples of data organization and analysis? Check all that apply.
A. Rejecting spoiled ballots
B. Running a polling station on voting day
C. Transferring votes from ballots to tally sheets
D. Drawing a pie chart to show the percentage of the vote for each candidate E. Counting votes for each candidate in the election
Which of the following activities are examples of data organization and analysis?
Data organisation is a method of organizing data sets. And data analysis means logically analyzing and evaluating data.
So, the correct answers will be :
C. Transferring votes from ballots to tally sheets
D. Drawing a pie chart to show the percentage of the vote for each candidate
E. Counting votes for each candidate in the election
Answer:
D & E
Step-by-step explanation:
D. Drawing a pie chart to show the percentage of the vote for each candidate
E. Counting votes for each candidate in the election
These involve sorting and graphical analysis
What is the area, in square units, of the polygon shown here? A figure in the shape of a block letter L with a vertical height of 5 units and a length of 5 units is shown. The length of the top of the L is 2 units and the height of the right side of the L is 1 unit. 10 units2 13 units2 15 units2 18 units2
Answer:
The answer is 13 units
Step-by-step explanation:
Hope this helps have a wonderful day ;)
Combine and simplify the following radical expression. 2 over 3 times cubed root of 5
Final answer:
The radical expression ⅓∛5 simplifies to 2/3 × cubed root of 5, and cannot be simplified further since 5 is a prime number.
Explanation:
To combine and simplify the given radical expression, 2 over 3 times cubed root of 5, we first understand that the expression is in the form ⅓∛5, which can also be written as ⅓(5¹³). To simplify this, we use the fact that raising a number to a fractional power is the same as taking a root of the number. In this case, since the exponent is 1/3, we are taking the cubed root of the number 5.
Therefore, the expression simplifies to:
2/3 × 5¹³ = 2/3 × ∛5
No further simplification is possible since 5 is a prime number and cannot be broken down into smaller roots that can be easily calculated. The final simplified form of the expression remains 2/3 × ∛5.
Final answer:
To combine and simplify the expression 2/3 * 5^(1/3), rewrite 5^(1/3) as the cube root of 5 and multiply it by 2/3. The resulting expression (2/3) * (cube root of 5) cannot be simplified further.
Explanation:
To combine and simplify the expression 2/3 * 5^(1/3):
We can rewrite 5^(1/3) as the cube root of 5.
Multiplying 2/3 by the cube root of 5 gives us (2/3) * (cube root of 5).
Since there are no common factors between 2 and 3, we cannot simplify the expression any further.
Therefore, the combined and simplified radical expression is (2/3) * (cube root of 5).
o quociente entre a soma de soma de dois numeros e um deles e igual a 3. O inverso do dobro da soma deles e igual a 1/6 quais sao os numeros?
shade the region in the xy plane that is described by the inequalities 3x-y-7<0 and x+5y+3>=0
A restaurant charges $100 to rent its banquet room for an event. It also charges $15 to serve dinner to each quest. Write an equation for the total cost of the banquet room in terms of the number of guests. Define your variables. What is the total cost of the banquet room for 20 guests?
Answer:
The total cost function is C (x) = 15x + 100 and the cost of a banquet for 20 guests is $ 400
Step-by-step explanation:
Let's suppose,
X: Number of guests
C (x) = total cost
CF (x) = fixed cost
CV (x) = variable cost
C (x) = CV (x) + CF (x)
For the situation presented,
CF (x) = 100
CV (x) = 15x
With this information, the function that provides the total cost is given by the expression:
C (x) = 15x + 100.
When there are 20 guests, the total cost of the banquet is:
C (20) = 15 (20) + 100 = 300 + 100 = 400
Conclusion: The total cost function is C (x) = 15x + 100 and the cost of a banquet for 20 guests is $ 400
A pair of equations is shown below:
y = 6x − 4
y = 5x − 3
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
An item is regularly priced at $69. Ashley bought it on sale for 35% off the regular price.
Answer:
$22.75
Step-by-step explanation:
35% of 65 dollars is $22.75
Logan county is square. It had a side that is 15.4 miles long. What is the area?
9.744 divided by 0.87
Abdul is choosing a 3 letter password from the letters A,B,C,D, and E. The password cannot have the same letter repeated in it. How many such passwords are possible?
there are 5 letters
1st letter can be any 5
2nd letter can be any 5 -1 = 4
3rd letter can be any 5 -2 = 3
5*4*3 = 60 different combinations
A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.
Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)
For which values of p and q does the following equation have infinitely many solutions?
PX + Q = 46x +23
A) p = 46 & q = 23
B) p = -46 & q = 23
C) p=-46 & q = -23
D) p= 46 & q = -23
(Select all that may apply)
average of the set of data 3.2 16.5 9.1
What is the ratio of the circumference for two circles with areas of 6pi m^2 and 150 pi m^2
A.1:50
B.1:5
C.1:10
D.1.25
To find the ratio of circumferences, we first determine the radii from the given areas using the formula A = πr². Then, we use C = 2πr to get the circumferences and compare them, which results in a final ratio of 1:5.
Explanation:To find the ratio of the circumferences of the two circles with areas of 6pi m^2 and 150 pi m^2, we first need to determine the radii of the circles. The area of a circle (A) is given by the formula A = πr². Solving for the radius (r) gives us r = √(A/π).
For the first circle:
A = 6π m²
So the radius is r1 = √(6π/π)r1 = √6 m
For the second circle:
A = 150π m²
So the radius is r2 = √(150π/π)r2 = √150 m
Now we can find the circumferences using the formula C = 2πr.
For the first circle:
C1 = 2π√6 m
For the second circle:
C2 = 2π√150 m
Finally, to find the ratio of the circumferences, C1/C2, we get:
(2π√6)/(2π√150)
After simplifying, we are left with the ratio √6/√150. This simplifies to √(6/150) which is √(1/25) or 1/√25. And since √25 is 5, we have a final ratio of 1:5.
Find x if ABCD is a square and angle C = 1/2 x – 5.
any angle in a square = 90 degrees
so C=1/2x-5 has to equal 90
90=1/2x-5
95 = 1/2x
190=x
check (1/2)190-5 = 90
x = 190
In how many different ways can you answer a multiple choice test that has 5 questions and 3 choices for each answer? 15 125 243
Answer:
The correct option is 3. The total number of different ways to answer a multiple choice test is 243.
Step-by-step explanation:
Total number of questions is 5. Each question has three options.
Total number of ways to answer the first question is 3.
Similarly, the number of ways to answer each question is 3.
Total number ways to answer a multiple choice test is
[tex]3\times 3\times 3\times 3\times 3=3^5=243[/tex]
Therefore the correct option is 3. The total number of different ways to answer a multiple choice test is 243.
Pick Multiple Answers
If the wheels of a train make 16 revolutions when it rolls a distance of 60 feet, what is the radius of the wheel?
Monty is cutting 45 streamers into pieces that are each 5 2/5 feet long. If the streamers are laid end to end,how far will they stretch
Answer:
39 3/5
Step-by-step explanation:
f(x) = 3x + 10x and g(x) = 4x – 2, find (f – g)(x)
The question seeks the derivatives of a function, but cannot be answered accurately due to the lack of specific information about the function provided.
The question asks to find the first, second, and third derivatives of a given function f(x). However, further details needed to answer the question, such as the specific form of the function f(x), are not provided in the question itself. Therefore, without the explicit function f(x), we cannot proceed to accurately calculate the requested derivatives.
Today is Jack’s birthday and Jill’s birthday. Jack is five and Jill is nine.
1. How many years ago was Jill twice as old as Jack?
2. When Jack is three quarters as old as Jill, how old will Jill be?
3. When Jill was three times as old as Jack, how old was Jack?
4. When Jill is four times as old as Jack is today, how old will Jack be?
Final answer:
The problem involves simple arithmetic and algebra to work out the relationship between ages at different times. Jill was twice as old as Jack 1 year ago. The other parts of the problems are under-determined or have errors that prevent firm conclusions.
Explanation:
Let's solve each problem step by step:
How many years ago was Jill twice as old as Jack? Let's call the number of years ago y. Jill's age y years ago = 9 - y, and Jack's age y years ago = 5 - y. The equation based on the problem is 9 - y = 2(5 - y). Solving this equation, y = 1. So, Jill was twice as old as Jack 1 year ago.
When Jack is three quarters as old as Jill, how old will Jill be? Let's call Jill's future age f. Jack's future age will be 3/4 * f. We know Jack is currently 5 years old, so 5 + x = 3/4(f + x), where x is the number of years till that happens. To find the value of f and x, we need one more equation or piece of information, which is not provided.
When Jill was three times as old as Jack, how old was Jack? To find this out, we set up an equation similar to the first problem: let's call the number of years ago z. So (9 - z) = 3(5 - z), solving for z gives us z = 4.5, but since they can't be half years old, we must consider whole years; thus, this situation hasn't occurred given their current ages or an error exists in the problem.
When Jill is four times as old as Jack is today, how old will Jack be? Jack is currently 5. So, when Jill is four times that age, she will be 5 * 4 = 20 years old. We cannot determine how old Jack will be at that time without knowing the difference in time between now and then.
Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 8
The maximum volume of a cone within a sphere is achieved when the apex of the cone is at the centre of the sphere and the base of the cone is at the sphere's surface. In this instance, the sphere's radius is also the cone's height and radius, so the volume is calculated as 1/3 * π * 8² * 8, resulting in a volume of 536.48.
Explanation:The subject of this problem is finding the volume of the largest right circular cone that can be inscribed in a sphere with radius 8. The sphere's volume has no direct relevance since we're looking for the cone's volume, not the sphere's.
The maximum volume of a cone within a sphere is achieved when the apex (pointy end) of the cone is at the centre of the sphere, and the base of the cone is at the surface of the sphere. This cone's height and base radius would then be equal to the sphere's radius.
The formula for the volume of a cone is V = 1/3 * π * r² * h . In this problem, since the sphere's radius is also the cone's base radius and height, we would plug 8 in place of r and h. So the answer would be V = 1/3 * π * 8² * 8 which gives us V = 536.48 cubic units .
Learn more about Volume of a Cone here:https://brainly.com/question/29767724
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Say, there is 88 students for 4 classes whats the unit rate?
A: 22 students per class
B: 22 classes per student
C: 25 Students per class
D: 25 classes per student
Answer:
a. 22 students per class
Step-by-step explanation:
22 students (times) 4 classes = 88 students.
Choose the polynomial written in standard form
A.x2y2 + 4x4y + 10x6
B.x4y2 + 4x3y5 + 10x
C.x7y2 + 4x3y + 10x3
D. x6y2 + 4x3y8 + 10x2
i believe it to be c
Final answer:
Option D, which is x⁶y² + 4x³y⁸ + 10x², is the polynomial written in standard form, as it orders terms from highest to lowest degree with respect to the variable x.
Explanation:
The polynomial written in standard form is D. x⁶y² + 4x³y⁸ + 10x². A polynomial is in standard form when its terms are ordered from highest to lowest degree, and 'degree' refers to the sum of the exponents of the variables within each term.
The term with the highest degree in option D is x⁶y², which has a degree of 6 (from x) + 2 (from y) = 8.
The next term, 4x³y⁸, has a degree of 3 (from x) + 8 (from y) = 11, which is actually higher than the first term, but due to the powers of x decreasing, we still consider option D to be in a 'standard form' as conventionally defined in algebraic contexts.