The volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.
How to find the volume of spherical rubber ball ?The capacity of a sphere is its volume. It is the area that the sphere occupies. Cubic measurements for sphere volume include m^3, cm^3, and in^3.
The formula of volume of the sphere is
V = 4/3πr3
given that the radius of spherical rubber ball is 2 3/4
here the radius is given in improper fraction
now convert it into the decimal by following procedure.
first multiply the 2 with 4
2 X 4 = 8
now add 8 to 3. 8 + 3 = 11
The proper fraction of 2 3/4 is 11/4.
so, the decimal number is 2.75
now put r = 2.75 in formula to get the volume.
V = 4/3 X 3.14 X 2.75 X 2.75 X 2.75
V = 1.33333 X 3.15 X 20.7968
V = 87.11 cubic inches
Hence,the volume of the spherical rubber ball to the nearest cubic inch is 87.11 cubic inches.
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a box with a square base has length plus girth of 108 in. (girth is the distance ""around"" the box.) what is the length of the box if its volume is 2200 in3 ?
Answer:
88
Step-by-step explanation:
Use the following images to complete the sentences describing the ratio of tusks to whiskers.
There are 2 tusks for every
There is 1 tusk for every
whiskers.
whiskers.
There are 2 tusks for every 8 whiskers.
There is 1 tusk for every 4 whiskers.
How are the ratios calculated?
First image:
Number of whiskers in the first image = 4
Number of tusks in the first image = 0
Second image:
Number of whiskers in the second image = 4
Number if tusks in the second image = 2
Total number of whiskers = 4+4
= 8
Total number of tusks = 0 + 2
= 2
Rewriting as ratios,
a) Tusks: whiskers
2: 8
So, from the ratio, there are 2 tusks for every 8 whiskers.
b) Tusks: whiskers
2: 8
1 : 4
So, from the ratio, there is 1 tusk for every 4 whiskers.
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Passes through points (-3,-8) and (-7,-12)
Write equation In point slope form
Answer:
y = x - 5
Point Slope form: y + 8 = 1 (x + 3)
Step-by-step explanation:
(-3,-8) and (-7,-12)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -12 - (-8) -12 + 8 -4
m = ------------ = --------------- = -------------- = -------- = 1
x₂ - x₁ -7 - (-3) -7 + 3 -4
y - y₁ = m(x - x₁)
y - (-8) = 1(x - (-3))
y + 8 = x + 3
-8 -8
---------------------
y = x - 5
I hope this helps!
can you help me please
lilkyky67, this is the solution:
Let's recall that the angles in the image are consecutive interior angles and they add up to 180 degrees.
Therefore,
12x - 29 + 4x + 1 = 180
16x - 28 = 180
Adding 28 at both sides:
16x - 28 + 28 = 180 + 28
16x = 208
Dividing by 16 at both sides:
16x/16 = 208/16
x = 13
Now, we can find out the measures of the two angles, as follows:
First angle:
12x - 29 = 12 * 13 - 29
156 - 29 = 127
Second angle:
Let f be a function such that StartFraction x squared minus x Superscript 4 Baseline Over x squared EndFraction ≤ f(x) ≤ One-fourth x cubed for all –2 ≤ x ≤ 2. What is Limit of f (x) as x approaches 0?
The limit is 0.
The limit is 1.
The limit does not exist.
The limit cannot be found because f(x) is unknown.
commercial photographer
portrait photographer
nature photographer
education photographer
Answer:
limit = 1
Step-by-step explanation:
What is the gradient of a line perpendicular to a line with a gradient of −2/3?
The gradient of a line perpendicular to a line with a gradient of −2/3 is 3/2.
Gradient of a line
The gradient of a line is defined as the change in the "y" coordinate with respect to the change in the "x" coordinate of that line. The gradient of a line is helpful to find the inclination or steepness of a line.
We know that,
The product of gradient of two lines perpendicular to each other is equal to -1.
Let the gradient of the other line be m.
Hence, according to the data given in the question, we can write,
(-2/3)*m = -1
m = -1*(-3/2)
m = 3/2
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Of the 175 dogs that were groomed 3/25 had a red collar. How many of the dogs had a red collar
Answer:
21
Step-by-step explanation:
175 x 3 = 525. Divide that by 25 and you get 21.
1. An express bus travels 150 miles to Washington D.C. It makes the trip in 3 hours. What is the unit rate? ( onts
Answer: 50 mph
Step-by-step explanation:
S = D/TS= 150/3S= 5050 mphIf Portia only wanted to make 6 biscuits, how many teaspoons of baking powder would she need? 1 biscuit needs 8 tsp.
The following data values represent a sample. What is the variance of the sample? x = 7. Use the information in the table to help you.
A. 14.4
B. 4.2
C. 18
D. 3.8
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
The variance of the sample mean x = 7 is 18(option c).
Given table:
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
n = number of observations = 5
Variance σ² = 1/n-1 Σ[tex]\ \ n} \atop {i=1} \right.[/tex] ([tex]X_{1}[/tex] - X)²
= 1/5-1 (0 +4 + 16 + 36 + 16)
= 1/4(72)
= 18
Therefore variance σ² = 18
Hence the variance of the sample mean x = 7 is 18.
so option c is correct.
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Please help with my geometry hw
Using the given description < NOP is found to be 46 degrees
How to find angle NOPgiven data]
< OPQ = ( 9x - 19 ) degrees
< PNO = ( 2x + 5 ) degrees
< NOP = ( 3x + 16 ) degrees
From the figure described
let < NPO = y
< PNO + < NOP + y = 180 degrees ( sum of angles of triangle )
< OPQ + y = 180 degrees ( linear pair theorem )
Hence we equate both
< PNO + < NOP + y = < OPQ + y
< PNO + < NOP = < OPQ + y - y
< PNO + < NOP = < OPQ
( 2x + 5 ) + ( 3x + 16 ) = ( 9x - 19 )
2x + 3x + 5 + 16 = 9x - 19
5x + 21 = 9x - 19
21 + 19 = 9x - 5x
40 = 4x
x = 40 / 4
x = 10
< NOP = ( 3x + 16 ) degrees
< NOP = ( 3 * 10 + 16 ) degrees
< NOP = ( 30 + 16 ) degrees
< NOP = 46 degrees
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If someone could please help me that would be great! ( please only answer if you know the answer! ) ( look at photo )
Using the properties of complementary angles we can represent the solution as (a) definition of a right angle (b) substitution property of equality (c) angle addition postulate .
If the sums of two angles equal exactly 90 degrees, they are said to be complimentary.
The two angles could be a part of two distinct or related figures. Angles that are complementing don't have to be close by or facing the same direction. If the total of any two angles is precisely 90 degrees, they are said to be complementary.In both geometry and trigonometry, a right angle, commonly referred to as a quarter turn, is an angle that is precisely 90 degrees. If a ray is positioned so that its terminal is on a line and they are equal, the neighboring angles are right angles. The word is a calque of the Latin word angulus rectus, which means "upright" and denotes a vertical line perpendicular to a vertical base line.Orthogonality, which is the property of producing right angles, and perpendicular lines, which are defined as lines that intersect at right angles, are important and closely related geometrical concepts. The right angle is a crucial idea in trigonometry since it is used to identify correct triangles.To learn more about complimentary angles visit:
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Simplify m^8 m^ -6
Om^2
0 1/m^2
O-m^14
Answer: The answer is m^2
Step-by-step explanation:
Terrell arranges x roses at $3.50 each with 10 carnations at $2.25 each. He makes a bouquet of flowers that averages $3.00 per flower. Choose an equation to model the situation.
NEED HELP ASAP
Which value is closest to (2.4×103)+(5.7×102)?
A
2.97×102
B
2.97×103
C
8.1×105
D
8.1×106
Answer: C) 8.1 x 105
Which statements are true about the solution to the system of equations?
The statements that are true about the solution to the system of equations are
y coordinate, of the solution is = (-8) ,
x coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
In the question ,
the system of equations are given as
4x+3y = 12 ...(1)
and 2x +3y = -6 ...(2)
to solve for x and y , we subtract equation (2) from equation(1) .
So , On subtracting , we get
(4x+3y)-(2x+3y)= 12-(-6)
4x+3y-2x-3y = 12+6
4x-2x +3y-3y = 18
2x = 18
x = 18/2
x = 9
Put x=9 in equation [tex](1)[/tex], we get
4(9)+3y=12
36+3y=12
3y = 12-36
3y = -24
y= -24/3
y = -8
Since x coordinate is +9 and y coordinate is -8 ,
so the solution lies in Quadrant IV.
Therefore , The statements that are true about the solution to the system of equations are
y-coordinate, of the solution is = (-8) ,
x-coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
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The average, or mean, D, of three exam grades, x, r, and v, is given by the
following formula.
X+r+V
D
3
(a) Solve the formula for v.
(b) Use the formula in part (a) to solve this problem. On your first two exams, your
grades are 85% and 86%: x=85 and r= 86. What must you get on the third exam
to have an average of 90%?
(a) The formula is v= 3D-x-r.
(b) The answer is.
Answer:
v = 3D - x - r
99%
Step-by-step explanation:
D = (x + r + v)/3
x + r + v = 3D
v = 3D - x - r
(b) When x = 85, r = 86 and D = 90%:
v = 3*90 -85 - 86
= 270 - 171
= 99.
If a location on a graph has an indegree of 5 and an outdegree of 10 what is the total degree?
The total degree when the indegree is 5 and the outdegree of 10 is 15.
The number of head ends next to a vertex is referred to as the vertex's indegree, and the number of the tail ends next to a vertex is referred to as the vertex's outdegree (called branching factor in trees).
The location on a graph has an indegree of 5 and an outdegree of 10.
The sum of the indegree and the outdegree is the total degree of the vertex. The indegree is written as deg−(x) and the outdegree is written as deg+(x).
The total degree will be:
= indegree + outdegree
= deg⁻(x) + deg⁺(x)
= 5 + 10
= 15
The total degree is the sum of in and outdegree is 15.
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Solve the equation using number sense. I hope ya'll can understand this because i can't lol, thxs.
3d + 18 = 21
A: -1
B: 1
C: 3
D: 13
Answer: B: 1
Step-by-step explanation:
Since we already know 3 + 18 = 21, then it would only make sense for 3 x 1 + 18 to equal 21. Even then, the other answers are incorrect by process of elimination
Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded.
For given two state parks Elm Grove and Cathedral Rock, the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
Here, we have been given two state parks Elm Grove and Cathedral Rock. Each recorded the number of visitors to the park each day for 15 days.
We were given line graphs of this data.
We have to choose the correct statements about the two plots.
For Elm Grove Park,
Maximum number of visitors: 350
Minimum number of visitors: 50
Range of visitors per day,
350-50 = 300
And in case of Cathedral Rock Park,
Maximum number of visitors 600
At least 300 visitors and the range of visitors per day is 600-300 = 300
This means that the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
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Answer:
A and C
Step-by-step explanation: The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
Answer and if you can put an explanation that would ben nice.
Explanation not necessary
Answer:
a
Step-by-step explanation:
if you substitute for example in the first 2 boxes you have -1 for x and 5 for y so substitute these in for x and y so 5=2(-1)+7. Next do 2 time -1 = -2 the add 7. -2+7=5 so 5=5 hope this helps
What is the value of the expression −51 − 17 − (−37)?
A. −68
B. −105
C. −31
D. −71
Expression is a combination of numbers, operators and variables. the value of the expression −51 − 17 − (−37) is -31.
What is Expression?Expression is a combination of numbers, operators and variables.
The given expression is minus fifty one minus seventeen minus of minus thirty seven.
−51 − 17 − (−37)
We have to use BODMAS rule to solve this expression
-51-17+37
Now add minus fifty one and minus seventeen
We get minus 68
-68+37
Now subtract 37 from 68 and put minus sign in the answer.
We get answer as minus thirty one.
-31
Hence option C is correct. the value of the expression −51 − 17 − (−37) is -31.
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find the ratio of 5 days to 60 hours
The ratio of 5 days to 60 hours is 2:1.
What is the ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)The number of common shares each convertible security receives when converted is known as the conversion ratio. The more common shares are exchanged for each convertible security, the higher the ratio.So, the ratio of 5 days to 60 hours:
We know that 60 hours is 2.5 days.Then, ration os 5 days to 2.5 days
5:2.52:1Therefore, the ratio of 5 days to 60 hours is 2:1.
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Gavin is working two summer jobs, making $14 per hour tutoring and $13 per
hour landscaping. Last week Gavin worked a total of 10 hours and earned a
total of $137. Determine the number of hours Gavin worked tutoring last
week and the number of hours he worked landscaping last week.
Gavin worked 7 hours on his tutoring job and 3 hours on his landscaping job
System of EquationsA system of equations is a group of two or more equations with the same variables. A solution to a system of equations is the values of the variables that make all of the equations in the system true. A solution to a system is also an intersection point of the graphs of the equations in the system.
Let;
Tutoring hours = xLandscaping hours = yWe need to write system of equations to solve this problem.
14x + 13y = 137 ...eq(i)
x + y = 10 ...eq(ii)
Solving equation (i) and (ii),
x = 7 and y = 3
He worked 7 hours tutoring and 3 hours landscaping
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Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?
A.
x + 0.05x = 3.15, which has infinitely many solutions
B.
x + 0.5x = 3.15, which has one solution
C.
x + 0.05x = 3.15, which has one solution
D.
0.05x = 3.15, which has no solution
Answer:
C is the correct answer.
Let A be 5, b be 5, and C be 6
Write a quadratic equation in standard form using those numbers. Find the axis of symmetry and vertex of the parabola
If A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that,
a = 5, b = 5 and c = 6
The quadratic equation is in standard form as,
y = ax² + bx + c
Put the values as
y = 5x² + 5x + 6
Differentiate the above equation and equate to 0 to obtain the vertex point,
y' = 10x + 5
0=10x + 5
5x + 1 = 0
5x = -1
x = -0.2
Substitute the value of x as
y = 5x² + 5x + 6
y = 5(-0.2)² + 5(-0.2) + 6
y = 5.2
The vertex of the parabola is (-0.2, 5.2)
Thus, if A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)
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Question 9 Every day when commuting to and from work, Stefanie drives her car a total of 143 miles for 2.5 hours. Her car already has 45,300 miles on it. a. Write a function that shows the total number of miles, f(x), Stefanie's car will have been driven after x more days. Explain how you know where each number goes in the equation. b. If Stefanie works 4 days a week, how many miles will her car have been driven after 3 weeks? Show and explain all your work.
First, determine the number of miles covered per day:
[tex]\frac{143\text{ miles}}{2.5\text{ hours}}=57.2\text{ miles per day}[/tex]Her car already has 45,300 miles on it.
(a)The total number of miles, f(x), Stefanie's car will have been driven after x more days will be:
[tex]f(x)=45,300+57.2x[/tex](b) Stephanie works 4 days a week.
After 3 weeks, the number of days worked = 4 x 3 = 12 days
Therefore, when x=12:
[tex]\begin{gathered} f(x)=45,300+57.2(12) \\ =45,300+686.4 \\ =45986.4\text{ miles} \end{gathered}[/tex]if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent or supplementary
if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent.
Two straight lines are parallel if they intersect a horizontal line so that their corresponding angles are coincident. Two line segments are parallel if they intersect the transverse line so that the alternating interior angles are congruent. When two parallel lines cross a horizontal line, they form an equilateral interior angle, and their sum equals 180 degrees.
The angles are complementary because the sum of the interior angles on equal sides is 180 degrees. The sum of the interior angles formed by one side of a horizontal line is two right angles. Alternating interior angles are formed by a horizontal line intersecting two parallel lines. They lie between two parallel lines, but on opposite sides of the horizontal line, creating two pairs of alternating interior angles four angles total.
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If the expression 2x5 - 162xis equivalent to g(x) (x - 3),which expression could represent g(x)?
A. (x² + 9) (x + 3)
B. (x² + 9) (x-3)
c. 2x(x² + 9) (x + 3)
D. 2x(x² + 9) (x-3)
Answer:
c i think because you can factor it
If 28 slices of pizza are to be shared in the ratio 5:2 how much will each part be?
Help this is needed right now like I need the answer help me
