Answer:
7776π or
24,429.02 unit^3 to the nearest hundredth.
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 π r^3 where r is the radius.
Here V = 4/3 * π * 18^3
= 7776π unit^3.
Answer:
7776 pi
Step-by-step explanation:
Simplify the expression.
2(3y-7) - 52 - и
Answer:
5y^2−4y−14
Step-by-step explanation:
Equation:2(3y−7)−5y(2−y)
First Distribute:
(2)(3y)+(2)(−7)+5y2+−10y
6y+−14+5y2+−10y
Then Combine Like Terms:
6y+−14+5y2+−10y
(5y2)+(6y+−10y)+(−14)
5y2+−4y+−14
Answer:
5y^2 -4y -14
Step-by-step explanation:
2(3y-7)-5y(2-y)
Distribute
2*3y -2*7 -5y *2 -5y*(-y)
6y -14 -10y +5y^2
Combine like terms and put in decreasing order
5y^2 -4y -14
If a parallel b and e parallel f what is the value of y
Answer:
C
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
(x+1) + (x-3) = 180
2x-2=180
2x=182
x=91
(x+1) = 92
(x+1) and y are equal angles
y = 92
edge 2023
If Esther deposited $50 at the end of each month into an account with no interest, how much money would she have saved by the end of 12 months?
Answer:
she will have saved a total of $600.00
Step-by-step explanation:
$50.00 x 12=$600.00
The net of a solid is the view from above the solid. True False
Answer: False
Step-by-step explanation: A net is when a 3 dimensional shape is unwrapped. For example, a cube’s net is 6 squares when unwrapped.
Given: m || n
What is the value of x?
x = a0
Answer:
x = 8
Step-by-step explanation:
Since m and n are parallel lines, then
6x - 2 = 46 ← alternate angles
Add 2 to both sides
6x = 48 ( divide both sides by 6 )
x = 8
Answer:
x=8
Step-by-step explanation:
The value of the angles are the same due to them being alternate interior angles and opposite angles. This means we can set 6x-2=46. Add 2 to each side to isolate the 6x. This leaves you with 6x=48. Divide by 6 to isolate x. 48/6= 8. X=8. Hope this helps :).
Billboard on the highway has a perimeter of 118 feet find the length of the billboard at the height is 19 feet
Answer:
the length is 40 ft
Step-by-step explanation:
perimeter is length+length+height+height.
If the height is 19 ft then the first equation would be 118-(19+19)=80
Then you would do 80/2= 40
The length is 40 ft.
The length of the billboard with a perimeter of 118 feet and a height of 19 feet is 40 feet.
To find the length of the billboard when the perimeter is 118 feet and the height is 19 feet, you can use the formula for the perimeter of a rectangle: Perimeter = 2(length + height). Given that the height is 19 feet, you set up the equation 118 = 2(l + 19) and solve for the length (l).
First, divide both sides of the equation by 2:
59 = l + 19
Next, subtract 19 from both sides:
l = 59 - 19
l = 40
Angelo, Brandon, and Carl work in the same office. Angelo’s age is 4 years more than twice Carl’s age. Brandon is 5 years younger than Carl. The average of the three ages is 41.
Part A: Use a variable to define the age of one of the men.
Part B: Use the variable in part A to represent the ages of the other two men.
Part C: Write an equation that represents the average of the three men's ages equivalent to 41.
Part D: Find the age of each of the men.
Answer:
Angelo is 66 Brandon is 26 Carl is 31
Step-by-step explanation:
Variables a=Angelo b=Brandon c=Carl
Equation (1/3)(a+b+c) = 41
The age of each man is Carl (31), Angelo (66), and Brandon (26).
Explanation:Part A: Let's use the variable x to represent Carl's age.
Part B: Angelo's age is 4 years more than twice Carl's age, so we can write his age as 2x + 4. Brandon is 5 years younger than Carl, so his age is x - 5.
Part C: The average of the three ages is given as 41, so we can write the equation (x + 2x + 4 + x - 5) / 3 = 41.
Part D: To find the age of each man, we solve the equation:
(x + 2x + 4 + x - 5) = 3 * 41
4x - 1 = 123
4x = 124
x = 31
Carl's age is 31, Angelo's age is 2(31) + 4 = 66, and Brandon's age is 31 - 5 = 26.
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What is the total surface area of a rectangular prism that is 4 inches deep, 5 inches high, and 15 inches across?
Answer:
The total surface area of a rectangular prism is 310 inches
Step-by-step explanation:
The surface area of rectangular prism can be found using formula
Surface Area = 2(lw+hl+hw)
Where l = length
h = height
w = width
We are given:
l = 4
h = 5
w = 15
Putting values in the formula:
Surface Area = 2(lw+hl+hw)
Surface Area = 2((4*15)+(5*4)+(5*15))
Surface Area = 2(60+20+75)
Surface Area = 2(155)
Surface Area = 310 inches
So, The total surface area of a rectangular prism is 310 inches
Answer:
The total surface area of a rectangular prism is 310 inches
Step-by-step explanation:
The surface area of rectangular prism can be found using formula
Surface Area = 2(lw+hl+hw)
Where l = length
h = height
w = width
We are given:
l = 4
h = 5
w = 15
Putting values in the formula:
Surface Area = 2(lw+hl+hw)
Surface Area = 2((4*15)+(5*4)+(5*15))
Surface Area = 2(60+20+75)
Surface Area = 2(155)
Surface Area = 310 inches
So, The total surface area of a rectangular prism is 310 inches
the ratio of boys to girls in a class is 8 to 5 what is the ratio of girls to all the students in the class
Answer:
5 to 13
Step-by-step explanation:
There are 5 girls in the class
To find the amount of kids in the class you have to add the girls and boys together.
There are 5 girls and 8 boys.
So 8 + 5 = 13
So there are 5 girls out of 13 students.
Answer:
5 to 13
Step-by-step explanation:
The ratio of girls to all the students in the class is 5 to 13.
8 + 5 = 13
5 girls out of 13 students
PLEASE HELP ME !! I need it ..
Answer:
D
Step-by-step explanation:
The Rational root theorem states that the possible roots ( zeros) of a polynomial are of the form
( plus or minus ) factors of the constant term divided by the factors of the leading coefficient.
For x³ - 3x² + 27x - 8
The factors of constant term (- 8) are ± 1, 2, 4, 8
The coefficient of the leading term x³ is 1
Hence possible zeros are
± ([tex]\frac{1,2,4,8}{1}[/tex]) = ± 1, ± 2, ± 4, ± 8 → D
Which is a rational function?
a. y= x-3^x / x^2. b. y= x^2 - x + 4. c. y= x-5/ 2. d. y= 2/x
ANSWER
d.
[tex]y = \frac{2}{x} [/tex]
EXPLANATION
A rational function is of the form:
[tex]r(x) = \frac{p(x)}{q(x)} [/tex]
where p(x) and q(x) are polynomial functions and q(x)≠0.
The first option contains the exponential function
[tex] {3}^{x} [/tex]
This disqualifies it from being a rational function.
The second and third options are polynomial functions.
By definition, all polynomials are rational functions.
The last option is a typical rational function because it has at least an asymptote.
The most correct choice is
[tex]y = \frac{2}{x} [/tex]
Find the distance between the points. (-4, -2) and (5, 2) ^97 2^14 2^5 ^5
Answer:
The distance between 2 points is √97 or 9.84
Step-by-step explanation:
The distance between two points can be found using distance formula:
[tex]d(x_{1},x_{2})=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
x₁ = -4, y₁ = -2 x₂ =5 and y₂ = 2
Putting values:
[tex]d(x_{1},x_{2})=\sqrt{(5-(-4))^2+(2-(-2))^2}\\d(x_{1},x_{2})=\sqrt{(5+4)^2+(2+2)^2}\\d(x_{1},x_{2})=\sqrt{(9)^2+(4)^2} \\d(x_{1},x_{2})=\sqrt{81+16}\\d(x_{1},x_{2})=\sqrt{97}[/tex]
So, the distance between 2 points is √97 or 9.84
Answer:
=sqrt(97)
Step-by-step explanation:
The distance between the two points is found by
d = sqrt(( x2-x1)^2 + (y2-y1)^2)
= sqrt( ( 5--4)^2 + (2--2)^2)
= sqrt( ( 5+4)^2 + (2+2)^2)
= sqrt( ( 9)^2 + (4)^2)
= sqrt( 81 + 16)
=sqrt(97)
What is the value of b?
Both chords are the same distance from the center of the circle ( the 12 inch lines are the same length).
This means that both chords are the same length. The bottom chord has a dimension of 22.5.
B id half the top chord so would be equal to half of 22.5
b = 22.5 / 2 = 11.25
Graph the data in the table below. Which kind of function best
models the data? Write an equation to model the data. Please help ASAP
Answer:
C
Step-by-step explanation:
Try to plug in the first pair of numbers to eliminate some equations, all but C fail to satisfy the equation. So C is the answer.
Answer:
CStep-by-step explanation:
Notice that the table doesn't have an exponential behaviour. Because an exponential function has the point (0,1), because all powers with a null exponent are equal to 1.
Also, notice that the table doesn't show a linear relation, because y-variable has all values positive.
Therefore, the only relation that follows the values of the table is
[tex]y=2.5x^{2}[/tex]
Let's evalue each x-value
[tex]y=2.5(-2)^{2} =2.5(4)=10\\y=2.5(-1)^{2}=2.5(1)=2.5\\ y=2.5(0)^{2}=2.5(0)=0\\y=2.5(1)^{2}=2.5\\y=2.5(2)^{2}=10[/tex]
Therefore, the right answer is C. The given values show a quadratic relation.
A faster way to deduct the quadratic pattern is observing that y-values are symmetric no matter if x-values are positive or negative, that meanst he function is pair, or quadratic.
Jason deposits $5 into his savings account twice a week for 6 weeks. How much money will he have saved after 6 weeks?
Let s stand for the amount of money saved.
Equation:
How much money did he save?
Show your work.
First person who answers gets to be followed and marked brainliest.
Answer:
(5x2)6=60
60
Step-by-step explanation:
Answer:
Let s stand for the amount of money saved.
[tex]2*5(6)=s[/tex]
He saved $60.
[tex]s=2*5(6)=10*6=60[/tex]
51 males to 21 females ratio or rate as a fraction
Answer:
[tex]\frac{17}{7}[/tex]
Step-by-step explanation:
51 males to 21 females is equivalent to the following:
51 to 21
51:21
51/21
[tex]\frac{51}{21}[/tex]
We could simplify this ratio. Both 51 and 21 have factors of 3 so I'm going to divide both parts of our ratio be 3.
So 51 divided by 3 is 17 and 21 divided by 3 is 7.
The simplified version of the answers above:
17 to 7
17:7
17/7
[tex]\frac{17}{7}[/tex]
The ratio of males to females is written in the form of fraction as 17/7.
What is Ratio?When a number is divisible by another number, then it can be written in the
form of p:q, this is called Ratio.
The number of total males = 51
The total females = 21
The ratio of males: females = 51 : 21
As fraction, in terms of p/q it can be written as 51/21
It can be simplified as
17/ 7
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Colin surveyed his classmates about their favorite subject in school.
Colin’s Survey Results
Favorite Subject
Number of Students
Math
14
Language Arts
7
Earth Science
10
Life Science
11
Which statement is true?
The ratio of science fans to language arts fans is 10:7.
The ratio of language arts fans to science fans is 1:3.
The ratio of math and science fans to language arts fans is 24:7.
The ratio of language arts fans to math and science fans is 5:1.
Answer:
The correct answer is "The ratio of language arts fans to science fans is 1:3. "
Step-by-step explanation:
The ratio is the amount of students with a favorite subject per (compare with) the amount of students that prefer other subject.
We are going to analyze every statement
The ratio of science fans to language arts fans is 10:7. FALSE.Science fans are 21 (Earth Science +Life Science ). This ratio is 21:7 or 3:1.
The ratio of language arts fans to science fans is 1:3. TRUE.This ratio is 7:21, we can divide this numbers so that is the same of 1:3
The ratio of math and science fans to language arts fans is 24:7. FALSE.This ratio is 35:7
The ratio of language arts fans to math and science fans is 5:1. FALSE.This ratio is 7:35 or 1:5
Answer:
b :) hope this doesn't help
Step-by-step explanation:
i mean its the right answer but maby the wrong question you were looking for like what happens to me i put in the questions it goes voo doo magic to brainly i open it and its the wrong question i hate when it does that so then i have to copy and paste the question to put it on here just to find the wrong answer.
A diameter is a line segment whose endpoints are on a circle. It is a special type of chord because it must contain the _____ of the circle HELP!!!!!!!!!!
A diameter is a special type of chord that passes through the center of a circle. It has its endpoints on the circle's circumference, with the center of the circle as its midpoint.
Explanation:In the field of mathematics, a diameter is indeed a special type of chord. The unique characteristic of a diameter, differentiating it from other chords, is that it must contain the center of the circle - that is the definition finds its completion. As a line segment, a diameter has its endpoints on the circumference of the circle and its middle point is the center of the circle. So, when referring to a diameter, you are essentially talking about the largest chord in a circle that passes through the center.
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What is the remainder when 3x^4 +2x^3-x^2+2x-24)/(x+2)
Answer:
remainder = 0
Step-by-step explanation:
Using the Remainder Theorem
Given f(x) divided by (x + h) then the remainder is found by evaluating f(- h)
Here the divisor is (x + 2), hence evaluate at h = - 2
Let f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 24, then
f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 24
= 3(16) + 2(- 8) - 4 - 4 - 24
= 48 - 16 - 4 - 4 - 24 = 0 ← Remainder
Remainder = 0 , hence (x + 2) is a factor of f(x)
lim-0
(1 + 3x)/x =?????
Answer:
not existStep-by-step explanation:
[tex]\lim\limits_{x\to0}\dfrac{1+3x}{x}\\\\\lim\limits_{x\to0^+}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(+)}=\dfrac{1}{(+)}=+\infty\\\\\lim\limits_{x\to0^-}\dfrac{1+3x}{x}=\dfrac{1+(3)(0)}{(-)}=\dfrac{1}{(-)}=-\infty[/tex]
Answer:
See below.
Step-by-step explanation:
The two sided limit does not exist.
As x approaches 0 from negative values the limit is -∞.
As x approaches 0 from positive values the limit is ∞.
4. Perform the indicated operation on polynomials.
a. (4x2 + 5x - 7) + (2x2 - 7x - 3)
b. (8m - 2n - 4) - (6m - 3n + 2)
c. (30+4) (5c-2)
Answer:
A) 6x2-2x-10
B) 2m+1n-6
C) 170c-68
Step-by-step explanation:
4x2 + 2x2 = 6x2 5x -7x = -2x -7 + -3 = -10
8m - 6m = 2m -2n + 3n = 1n -4 - 2 = -6
34 x 5c = 170 34 x -2 = -68
Answer:
Step-by-step explanation:
a) (4x2 + 5x - 7) + (2x2 - 7x - 3)
This is an addition question. We have to perform addition
The first step is open the parenthesis/brackets.
4x^2+5x-7 + 2x^2 -7x-3
Arrange the terms according to the exponents:
4x^2+2x^2-7x+5x-7-3
Combine the like terms:
6x^2-2x-10
Thus the answer is 6x^2-2x-10
b) (8m - 2n - 4) - (6m - 3n + 2)
We have to perform subtraction:
There is a rule in the subtraction that when you open the brackets then the signs of 2nd bracket will be multiplied by the negative sign:
Open the brackets:
8m - 2n - 4 - 6m+3n-2
Arrange the terms:
8m-6m+3n-2n-4-2
Combine the like terms:
2m+n-6
Thus the answer is 2m+n-6
c) (30+4) (5c-2)
This expression shows the operation of multiplication:
Solve the first parenthesis.
(34)(5c-2)
Now multiply 34 by each term of 2nd bracket:
=170c-68
Thus the answer is 170c-68....
Robin earned twice as much money this week as she did last week. Let d represent the amount of money she earned last week. Write a variable expression to represent how much money she earned this week? *
Answer:
2d=m
Step-by-step explanation:
d represents the amount of money she earned Last weekm represents the amount of money she earned this week2xd=m
The variable expression that represents the money Robin earned this week, if 'd' is the money she earned last week, is '2d'. This is because Robin earned twice as much this week as she did the previous week.
Explanation:In the context of this question, Robin earned twice as much money this week as she did last week. Because last week's earnings are represented by the variable, the expression to represent this week's earning becomes 2d. The number 2 is multiplied by d because Robin earned double this week of what she earned last week. Therefore, 2d accurately represents Robin's earnings for this week, if d is the amount she earned last week.
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Is the line for the equation y = -8 horizontal or vertical? What is the slope of this
Answer:
Horizontal and it's slope is 0.
Step-by-step explanation:
y=a number is horizontal while x=a number is vertical.
The slope of horizontal lines are 0 because there is no rise.
The slope of vertical lines are undefined because there run is 0.
Slope is equal to rise over run.
y=-8 is horizontal because it represents all the points in the form (x,-8) where x is any real number.
Graph as many points as you want in the form (x,-8), you should see a horizontal line formed. The slope of y=-8 is 0.
Example of points in the form of (x,-8):
(-10,-8)
(-5,-8)
(-1,-8)
(0,-8)
(1,-8)
(5,-8)
(10,-8)
All of these go down 8 units after going left or right however many.
This is a horizontal line 8 units below the x-axis.
Answer:
Horizontal
0
Step-by-step explanation:
No matter what the x value is, the y value is - 8. Make a small table to see what that means.
x y
2 -8
0 -8
- 2 -8
See what's happening?
Look at the y intercept. The y value is - 8 when x = 0. It is also - 8 when x = 2.
Make a rough drawing on a scrap piece of paper. Plot just those 2 points. Roughly. You don't even need a ruler.
What do you see? The line must be going horizontally.
The next question is a little harder. It is not obvious, but you do know that this line either goes horizontally or vertically. So the slope can either be 0 or undefined. There is no third choice.
The general equation is y = mx + b
There is no x in y = - 8
Therefore the slope is 0. That's the only way you could get rid of the x.
Drag each tile to the correct box.
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
Answer:
6 3/5 , 3 4/5, 4/5
Step-by-step explanation:
1) -8 2/5 + 9 1/5 =
-42/5 + 46/5 = 4/5
2) 9 2/5 + (-5 3/5) =
47/5 + -28/5 = 19/5 = 3 4/5
3). 2 1/5 + 2 2/5 =
11/5 + 22/5 = 33/5 = 6 3/5
answer is tile 3 then tile 2 then tile 1
6 3/5 , 3 4/5, 4/5
The expression are arranged in the descending order, that is from largest to smallest as follows:
33/5 > 19/5 > 4/5
What are expressions?
The expressions are the combination of various constants numbers and mathematical symbols. They form a meaningful context that is in accordance to the mathematical rules and theories.
The expressions are computed as follows:
Given:
-8 2/5 + 9 1/5
Computation:
={(-8*5)+2}/5 + {(-9*5)+1}/5
=-42/5 + 46/5
= 4/5
Given:
9 2/5 + (-5 3/5)
Computation:
={(9*5)+2}/5 + {(-5*5)+3}/5
=47/5 + -28/5
= 19/5
Given:
2 1/5 + 2 2/5
Computation:
={(2*5)+1}/5 + {(2*5)+2}/5
=11/5 + 22/5
= 33/5
Therefore, the expressions will be arranged in the order; largest to smallest: 33/5 > 19/5 > 4/5
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Chris lost $5.29 playing poker in one week. If this continued, what would be his net winnings or losses after five weeks ?
Answer:
$26.45
Step-by-step explanation:
If Chris lost $5.29 playing poker in one week, in five weeks he would lose $26.45.
$5.29 lost per week.
5 weeks.
$5.29 x 5 = $26.45.
The net loss of Chris after five weeks will be $26.45.
Average value per week: -$5.29
Net loss after five weeks: -$5.29 x 5 = -$26.45
Calculate the area of rhombus ABCD where diagonal AC = 66 units and diagonal BD = 26 units
Answer:
858 sq. units
Step-by-step explanation:
Area of a rhombus is found by A=ab/2 where a and b are the diagonals of the rhombus and A is the area.
AC is a and BD is b
A= (AC.BD)/2
=(66×26)/2
=858 Sq units
The area of the rhombus is therefore 858 sq. units.
Which of the following is three-dimensional and infinitely large?
Answer:
Option C Geometric space
Step-by-step explanation:
Which of the following is three-dimensional and infinitely large?
Verify each case
case A) A plane is two-dimensional and infinitely large.
case B) A line is infinitely large but is only one-dimensional
case C) Geometric space is three-dimensional and infinitely large
case D) A solid is three-dimensional, but not infinite
therefore
The answer is Geometric space
Answer:
Geometric Space
Step-by-step explanation:
Which of the following is three-dimensional and infinitely large?
Verify each case
case A) A plane is two-dimensional and infinitely large.
case B) A line is infinitely large but is only one-dimensional
case C) Geometric space is three-dimensional and infinitely large
case D) A solid is three-dimensional, but not infinite
therefore
The answer is Geometric space
Which of the following expressions represents the distance between -1/4 and 3/4?
Answer:
[tex]\large\boxed{C.\ \left|-\dfrac{1}{4}-\dfrac{3}{4}\right|}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a distance between x and y on a number line:}\\\\d=|b-a|=|a-b|\\\\\text{We have}\ a=-\dfrac{1}{4}\ \text{and}\ b=\dfrac{3}{4}.\ \text{The distance:}\\\\d=\left|-\dfrac{1}{4}-\dfrac{3}{4}\right|=\left|\dfrac{3}{4}-\left(-\dfrac{1}{4}\right)\right|[/tex]
Answer:
The correct answer is C none of the above
Step-by-step explanation:
In the state of Indiana, 302500 people don't drive. If this is 5% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older. Express your answer rounded to the nearest hundredth of a million.
Answer: 6,050,000
Step-by-step explanation:
5%=0.05
302500/0.05=6,050,000
Answer:
x = 6050000
Step-by-step explanation:
Set up a proportion
5% = 302500 people
100% = x
5/100 = 302500
100/100 = x Cross multiply
5x / 100 = 302500 * 100/100 Multiply both sides by 100
5x / 100 * 100 = 302500 * 100 / 100 *100 Do the multiplication
5x = 302500 * 100 Combine the right.
5x = 30250000 Divide by 5
5x/5 = 30250000/5
x = 6050000
1/100 of a million is the 5. It is already rounded to what it should be. So the answer is what we have.
HELP ASAP FIND EACH DERIVATIVE..... 7) 3x^2y^2=4x^2-4xy
8) 5x^3 + xy^2= 5x^3y^3
9)y=(3x^4+5x^3-5)/2x^4-4
Answer:
7. (4x - 3xy^2 - 2y) / (3x^2y + 2x).
Step-by-step explanation:
Implicit differentiation:
7. 3x^2 y^2 = 4x^2 - 4xy
6x * y^2 + 3x^2 * 2y y' = 8x - 4(x y' + y)
6xy^2 + 6x^2y y' = 8x - 4x y' - 4y
6x^2y y' + 4x y' = 8x - 6xy^2 - 4y
y' = (8x - 6xy^2- 4y) / (6x^2y + 4x)
y' = 2(4x - 3xy^2- 2y) / 2(3x^2y + 2x)
= (4x - 3xy^2 - 2y) / (3x^2y + 2x).
Numbers 8 and 9 are done in the same way.
We use the Chain, Product and Quotient rules where applicable.