On a baseball field, the infield is a square. the distance from home plate to first base is 90ft. what is the distance from home plate to second base?
What is the surface area of a sphere with a radius of 13 units?
Answer:
676pi units ^2
Step-by-step explanation:
apex
The surface area of a sphere with a radius of 13 units is 676π²
What is surface area?explaination;
Given radius = 13 units
surface area of a sphere = 4πr²
= 4 * 13*13 π²
676π² answer.
The surface area is the sum of the areas of all its faces.The areas of the base, top, and lateral surfaces i.e all sides of the object. It is measured using different area formulas and measured in square units and then adding all the areas. The surface area of a solid object is a measure of the total area that the surface of the object covers.The floor region of a strong object is a measure of the full vicinity that the floor of the item occupies. The mathematical definition of surface vicinity within the presence of curved surfaces is extensively extra involved than the definition of arc length of 1-dimensional curves, or of the floor area for polyhedra for which the surface place is the sum of the areas of its faces. clean surfaces, such as a sphere, are assigned floor region using their representation as parametric surfaces. The definition of floor area is based totally on methods of infinitesimal calculus and includes partial derivatives and double integration.
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Goran runs 3 miles in 25 minutes. at the same rate, how many miles would he run in 20 minutes?
How to do this ?? How
Answer:
|ax - b| > c
The two bars | | is used to indicate the function absolute value.
Remember this definition:
| x | = - x if x < 0 and x if x > 0
So, | x | > c =>
x > c or x > - c
Therefore:
|ax - b| > c => ax - b > c or ax - b > - c
Step-by-step explanation:
Which graph below shows a system of equations with infinitely many solutions?
A)coordinate plane with two parallel lines
B)coordinate plane with two intersecting lines
C)coordinate plane with two coinciding lines
D)coordinate plane with two intersecting lines
Answer:
The correct option is C.
Step-by-step explanation:
Consider the provide information.
Now consider the provided options
Option A) If there is a coordinate plane with two parallel lines.
if the plane has two parallel line then, It has no solution because you can get the solution if lines intersect at a point. Thus, it is not the required option.
Option B) and D) If there are two intersecting lines then you can get only one solution. Thus, it is not the required option.
Option C) If there are two coinciding lines then you can find infinite intersecting points. Thus, it is the required option.
Therefore, the correct option is C.
Suppose that water is being pumped into a trough. the trough is $$15 feet long, and every cross section of the trough is an equilateral triangle, with a vertex of the triangle pointing toward the ground. find the rate of change of the height of the water when the height is $$4 feet, if the volume of water is increasing at a rate of $$8 cubic feet per second.
The first three terms of a sequence are 1, 2 and 3. each subsequent term is the sum of the three previous terms. what is the 11th term of this sequence? pattern
Final answer:
The 11th term of the sequence, where each term is the sum of the three previous terms starting with 1, 2, and 3, is 423.
Explanation:
The sequence is defined such that each term is the sum of the three previous terms, starting with 1, 2, and 3. To find the 11th term, we continue the sequence based on its pattern:
1 (given)
2 (given)
3 (given)
6 (1+2+3)
11 (2+3+6)
20 (3+6+11)
37 (6+11+20)
68 (11+20+37)
125 (20+37+68)
230 (37+68+125)
423 (68+125+230)
Therefore, the 11th term of the sequence is 423.
Eleven less than seven times a number is five more than six times the number.
The problem is a simple algebraic equation in the form 7x - 11 = 6x + 5. By rearranging and simplifying, we find the solution is x = 16.
Explanation:The question presents a mathematical statement that needs to be solved for the variable. Translating the words into an equation, we get: 7x - 11 = 6x + 5. This equation is saying seven times a number (we'll call it 'x') reduced by eleven is equal to six times that number increased by five.
To solve for 'x', first, rearrange the equation to get all 'x' terms on one side and constants on the other. By subtracting 6x from both sides, we get x - 11 = 5. Then, add 11 to both sides to isolate 'x': x = 16.
So, the number or 'x' that satisfies this equation is 16.
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x = 16.
To solve this, let the unknown number be represented by x.
We can set up the equation based on the given information:
7x - 11 = 6x + 5
Subtract 6x from both sides of the equation:
7x - 6x - 11 = 6x - 6x + 5
Simplify the equation:
x - 11 = 5
Add 11 to both sides:
x - 11 + 11 = 5 + 11
Simplify the equation:
x = 16
Thus, the number is 16.
Is -2 less than 0???????????????????????????
Zoe, Latoya, Christina, and Rhoda each used a different method to verify that
-2(3x - 12) = -6x + 24
Whose method can be used to verify that the distributive property was correctly applied to the expression?
A.) Zoe's method
B.) Latoy's Method
C.) Christina's Method
D.) Rhoda's Method
Answer:
D) Rhoda's Method
Step-by-step explanation:
-2(3x - 12)
Using the distributive property a(b - c) = ab - ac
-2(3x -12) = -2(3x) -2(-12)
= -6x + 24
Which means-2(3x - 12) and -6x + 24 are equal.
To check this, we have to substitute the same x value for both the expression and evaluate them.
Both expression will have the same value.
Therefore, Rhoda is correct.
Thank you.
Use the graphs of f and g. Which describes the transformation from the graph of f to the graph of g?
f(x)=−4x+8f(x)=−4x+8
g(x)=−f(x)g(x)=−f(x)
1.horizontal translation 1 units left
2.vertical translation 4 units down
3.reflection in the x-axis
4.reflection in the y-axis
5.horizontal shrink by a factor of 1/4
6.horizontal stretch by a factor of 4
7.vertical shrink by a factor of 1/4
8.vertical stretch by a factor of 4
The transformation from the graph of [tex]\( f(x) = -4x + 8 \)[/tex] to [tex]\( g(x) = -f(x) \)[/tex] is a reflection in the x-axis.
The [tex]- \( f(x) = -4x + 8 \)[/tex] is a linear function with a negative coefficient in front of [tex]\( x \)[/tex], indicating a reflection in the x-axis.
When you negate f(x) to get g(x) = -f(x), it reflects the graph of f(x) in the x-axis.
So, the correct answer is: 3. Reflection in the x-axis
The larger of two numbers is 3 more than twice the smaller. if the twice the larger is decreased by 5 times the smaller the result is 0. find the two numbers
One number is three more than twice another, the sum of the numbers is 12. find the two numbers
The area of the conference table in Mr. Nathan’s office must be no more than 175 ft2. If the length of the table is 18 ft more than the width, x, which interval can be the possible widths?
If your bank charges an out-of-network service fee of $3.00, and you withdraw $20 from each of three out-of-network atms, how much money in total will be removed from your account?
a. $60
b. $63
c. $69
d. $120
The amount of the money that is in total removed from the account would be $69.
As per the question, the bank charges an out-of-network service fee of $3.00, and you withdraw $20 from each of three out-of-network ATMs, how much money in total will be removed from your account is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Amount withdrew from the ATM three times,
= 3 × 20
= $60
The total service fee charged on out of network 3 times
= 3 × 3
= $9
Now, total money withdrew from the account = 60 + 9 = $69
Thus, the amount of money that is in total removed from the account would be $69.
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The total amount of money that will be removed from your account is $9.00.
Explanation:To find the total amount of money that will be removed from your account, you need to multiply the out-of-network service fee by the number of withdrawals you made. In this case, the out-of-network service fee is $3.00 and you made three withdrawals. So, the total amount of money that will be removed from your account is $3.00 x 3 = $9.00.
How do find perimeter and area for this?
Luis has a $10 bill and three $5 bills. He spends $12.75 on the entrance fee to an amusement park and $8.50 on snacks. How much money doe she have left
Answer:
She has a total of $3.75 left
Step-by-step explanation:
Step 1
Express the amount of money Luis had in the beginning as follows;
A=E+R
where;
A=initial amount he had at the beginning
E=total expenditure
R=total remainder after spending
In our case;
A=(1×10)+(3×5)=$25
E=Amount spent at amusement park+amount spent on snacks
E=(12.75+8.50)=$21.25
R=unknown=r
Step 2
Substitute the values in the expression and solve for A;
25=21.25+r
r=25-21.25=3.75
r=3.75
She has a total of $3.75 left
Solve for y.
4y = 144
What is the answer?
The solution is y = 36. Divide both sides of the equation by 4 to isolate y. To isolate y, we want to get rid of the coefficient 4 that is multiplying y.
We do this by dividing both sides of the equation by 4:
4y / 4 = 144 / 4
On the left side, the 4 in the numerator and the 4 in the denominator cancel out, leaving us with just y:
y = 144 / 4
Now, Simplify the equation.
Now, we can perform the division to find the value of y:
y = 36
The solution is y = 36.
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The height of the closet is 96 inches, and aisha would like to have 4 rows of cube organizers. what is the most the height of each cube organizer can be
Answer: the most the height of each cube organizer can be 24 inches
Step-by-step explanation:
Since we have given that
Height of the closet = 96 inches
Number of rows of cube organizers = 4
Greatest height of each cube organizer can be is given by
[tex]\frac{96}{4}=24[/tex]
Hence, the most the height of each cube organizer can be 24 inches.
which is a perfect square a. 6^1 b. 6^2 c. 6^3 d. 6^5 (need answer now pls)
The perfect square expression is (b) 6^2
How to determine the perfect square?A perfect square is any expression that can be represented as:
x^2
Where x is a real number
From the list of options, we have: 6^2
i.e.
x^2 = 6^2
Hence, the perfect square expression is (b) 6^2
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What are the slope and the y-intercept of the line shown in the graph?
(A) y-intercept = 2 and slope = -3
(B) y-intercept = 2 and slope = 3
(C) y-intercept = 3 and slope = 2
(D) y-intercept = -3 and slope = 2
y-intercept = 2
slope = -3
let's take the 2 coordinates from the line.
(0, 2)(1, -1)
The y-intercept is when x = 0, When x = 0, y = 2 . This means the y-intercept is 2.
m = slope = -1 - 2 / 1 - 0 = -3 / 1 = -3
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Maria, bill, and change sent a total of 71 text messages during the weekend. change sent 2 times as many messages as bill. maria sent 7 more messages than bill. how many messages did they each send?
if I work z hours overtime, and my overtime wage is $25 per hour, what's my overtime pay?
Ron works 5 hours for a total of $300. He deposits all of his money in his account. He is trying to save a $500 for a new LED TV. How many hours must he work to ake home $500, if he saves all of his earnings
Ron's hourly wage is $60. To save $500 for a new LED TV, he needs to work approximately 8.3 hours. Rounding up, he should work 9 hours to earn the required amount.
Ron earns $300 for working 5 hours, which means his hourly wage is $300 / 5 hours = $60 per hour. To save up for a $500 LED TV, Ron needs to determine how many hours he must work to earn that amount.
To calculate the total hours Ron needs to work to save $500, we divide the total amount he wants to save by his hourly wage:
$500 ÷ $60 per hour = 8.3 hours
Therefore, Ron needs to work approximately 8.3 hours to earn $500, assuming he continues to save all of his earnings. In practice, since he cannot work a fraction of the hour, Ron would need to round up to the nearest whole hour, meaning he needs to work 9 hours to meet or exceed his savings goal.
find the coordinates of the midpoint of EF with endpoints E(-2,3) and F(5, -3)
The coordinates of the midpoint of line segment EF with endpoints E(-2,3) and F(5, -3) are (1.5, 0), calculated using the midpoint formula.
To find the coordinates of the midpoint of line segment EF with endpoints E(-2,3) and F(5, -3), you can use the midpoint formula which is:
( (x1 + x2)/2, (y1 + y2)/2 )
Let's apply the formula:
x-coordinate of midpoint = ( (-2) + 5 ) / 2 = 3 / 2 = 1.5
y-coordinate of midpoint = ( 3 + (-3) ) / 2 = 0 / 2 = 0
So the midpoint of EF is (1.5, 0).
Max spent $53 and now has no money left. How much did he have before his purchase
An equation is formed when two equal expressions. The amount Max had before his purchase is $53.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that Max spent $53 and now has no money left. Therefore, we can write the details as,
The amount spent on the purchase = $53
The amount left after purchase = $0
Let the amount before purchase be represented by M. Therefore, we can write the amount remaining after purchase as,
Amount before purchase - Amount spent on purchase = Amount remaining after purchase
M - $53 = $0
Adding 53 on both sides.
M - 53 + 53 = 53
M = 53
M = $53
Thus, the amount Max had before his purchase is $53.
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Simplify
8 - [- ( - 3 )]
A. 5
B. -5
C. 11
D. -11
Give an estimate for 42.8 x 13.6
Final answer:
A reasonable estimate for the product of 42.8 x 13.6 is 602, achieved by rounding each number to the nearest whole number and then multiplying them together.
Explanation:
To estimate the product of 42.8 x 13.6, we can round each number to the nearest whole number and then multiply. So, 42.8 is approximately 43, and 13.6 is approximately 14. Now, multiply these estimated values.
Estimated Calculation:
43 x 14 = 602
Therefore, a reasonable estimate for the product of 42.8 and 13.6 is 602. Remember, in estimation, we aim to simplify the calculation while still arriving at a number that's close to what the actual answer would be if we calculated it exactly.
∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ? Enter your answer in the box.
Answer:
m∠D=14
Step-by-step explanation:
∠C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10
Vertical angles are equal. So equate the angles C and d . Solve for x
m∠C=m∠D
[tex]-x+26=2x-10[/tex]
Subtract 2x from both sides
[tex]-3x+26=-10[/tex]
Subtract 26 from both sides
[tex]-3x=-36[/tex]
Divide both sides by -3
x=12
m∠D=2x−10
Substitute 12 for x
m∠D=2(12)−10=24-10= 14
Is the square root of 38 rational or irrational?