The volume of each drinking cup is 7.9 cubic inches.
What is the volume?An office uses paper drinking cups in the shape of a cone, with dimensions as shown.
The formula provides the volume of a cone.
V = (1/3) * π * r² * h.
We can find the solution by entering the already-known data into the formula.
d = 2.75 m.
Since radius is half of d, we can say
0.5 * 2.75 = 1.375 in.
4 inches is listed as the height.
The result of plugging all of them into the original formula is:
V = (1/3) * π(1.375)² (4) = 7.9
Our final response, rounded to the closest tenth, is:
V = 7.9 cubic inches.
The volume of each drinking cup is 7.9 cubic inches.
The complete question is An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
d = 2.75 m.
h = 4
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Guys, how many triangles are in this picture? Triangles with stripes inside also count
Therefore , as a result Two of a triangle's sides and the included SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.
What is the SAS?The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.
Here,
if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.
Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.
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Tony purchased a total of 18 bikes and magazines.Each book costs $12.How many books and magazines did he buy for $240
(You must define you variables and show your equations)
Tony purchased 12 books and 6 magazines for a total of $240.
What is equation?An equation is a mathematical statement that expresses two or more mathematical expressions as equal. It typically consists of an equals sign (=), two or more variables, and a number or operation that links them. Equations are often used to solve problems, model real-world situations, and to make predictions.
He bought 12 books for $12 each, and 6 magazines for $12 each. Thus, the total cost of 18 books and magazines was $240.
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Evaluate the expressions 56 with a variable of -1
Answer:
The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.
Step-by-step explanation:
If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.
In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.
If
f
(
x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x
−
1
x−1?
x
−
1
x−1?x
)
=
2
x
4
−
3
x
+
3
f(x)=2x
4
−3x+3, then what is the remainder when
f
(
x
)
f(x) is divided by
x
−
1
x−1?
12 cups to 2 pints ratio
Nathan and Lucy are selling blueberry and apple pies for a fundraiser. Nathan sold and 13 apple pies for a total of $147. Lucy sold 7 blueberry pies and 11 apple $204. What is the cost of one blueberry pie and one blackberry pie?
The cost of one blueberry pie and one blackberry pie is $11.30 and $11.373 respectively.
What are mathematical operators?In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.
Given Nathan sold 13 apples pies for $147,
cost of 13 apple pies = $147
cost of 1 apple pie = 147/13 = $11.30
Lucy sold 7 blueberry pies and 11 apple pie $204.
7 blueberry + 11 apple pie = $204
cost of 11 apple pie = $124.384
cost of 7 blueberry = 204 - 124.384 = $79.615
cost of 1 blue berry = 79.615/7 = $11.373
Hence the cost of 1 apple pie is $11.30 and 1 blueberry is $11.373.
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how to simplify 93.37
Answer: simplified to the tens digit would be 93.4 simplified overall would just be 93.
Step-by-step explanation: Hope this helps, please mark brainliest, and give thanks!
Rose bushes are planted in a line on both sides of a path. The distance between the
bushes is 2 meters. What is the largest number of rose bushes that can be planted if
the path is 20 meters long?
x^2-2/3x+9 factored
Answer:
x^2 - 2 /3 (x+3)
Step-by-step explanation:
GEOMETRY PLEASE HELP. Can you see triangles in this baseball player’s posture? Find how players improve using the properties of geometry to evaluate their positions and postures. Choose at least three examples and explain how the concepts you learned about in this Unit relate to the examples you find. For example, you might look for certain triangles formed in golf or baseball swings, or you could look for the triangles formed by players on a soccer field.
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided form may be reduced to a set of triangles. Amazingly intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series.
Here,
Geometry has a wide variety of shapes depending on the size. The 2-d shapes include a variety of polygonal forms and the following: circle, triangle, square, rectangle, kite, trapezium, parallelogram, and rhombus.
The fundamental shapes in three dimensions are cube, cuboid, sphere, cone, and cylinder.
Many sports use geometric forms to help delineate the precise areas of play.
View the soccer field below to see how it is composed of quadrilaterals, rectangles, 90-degree angles, and circles.
Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
Therefore , the solution to the given problem of trigonometry comes out to be Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.
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Need help I can’t solve it
Answer:
Coupon A is better by $2.80.
Step-by-step explanation:
You want to know how much better the best price is between coupon A's $55 rebate on $87 worth of pants, or coupon B's 60% off.
ReductionThe price reduction offered by coupon B is ...
0.60 × $87 = $52.20
ComparisonClearly, the $55 reduction offered by coupon A is a greater reduction than the $52.20 reduction offered by coupon B. The difference in value is ...
$55.00 -52.20 = $2.80
Coupon A gives the lower price by $2.80.
Please help will mark Brainly
Answer:
it too far i can't see it
Step-by-step explanation:
On one day at a local minigolf course, there were 320 customers who paid a total of $2,900. If the cost for a child is $7 per game and the cost for an adult is $10 per game, write a system of equations to model this scenario, where x represents the number of children and y represents the number of adults who played that day.
7x + 10y = 2900
x + y = 320
7x + 10y = 320
x + y = 2900
10x + 7y = 2900
x + y = 320
10x + 7y = 320
x + y = 2900
Brainiest for correct answer
A system of equations to model this scenario is given as follows -
x + y = 320
7x + 10y = 2900
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.The general equation of a straight line is → y = mx + c{m} - slope {c} - intercept along the y - axis.
Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.
Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -
x + y = 320
7x + 10y = 2900
Therefore, a system of equations to model this scenario is
x + y = 320
7x + 10y = 2900
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SOMEOINE HELP!!!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station. The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task. (1, 2), (2, 4), (3, 8), (4, 16) Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points) Part B: Write a function to represent the data. Show your work. (4 points) Part C: Determine the average rate of change between station 2 and station 4. Show your work. (4 points)
Answer:
Part A:
This data is modeling an exponential function because the y-values are increasing at an increasing rate. For example, between station 1 and station 2, the time increased by 2 minutes, and between station 2 and station 3, the time increased by 4 minutes. The time between each station is increasing by a multiple of the time between the previous two stations. This indicates that the data follows an exponential curve.
Part B:
To represent this data as a function, we can use the formula y = ab^x, where a and b are constants and x is the input (station number).
Substituting in the values from the first data point, we get: 2 = ab^1
Substituting in the values from the second data point, we get: 4 = ab^2
We can then solve for a and b by dividing these equations:
4/2 = (ab^2)/(ab^1)
2 = b
Substituting this value back into the first equation, we get:
2 = a*2^1
1 = a
Therefore, the function that represents this data is y = 2^x.
Part C:
To find the average rate of change between station 2 and station 4, we can use the formula: (y2 - y1)/(x2 - x1).
Substituting in the values from the data, we get: (16 - 4)/(4 - 2) = 12/2 = 6.
Therefore, the average rate of change between station 2 and station 4 is 6.
a letter is chosen at random from the word FOOTBALL, the probability that the letter chosen is not an L is:
Answer:
7/8
Step-by-step explanation:
Step 1: Count the total number of letters in the word FOOTBALL
There are 8 letters in the word FOOTBALL.
Step 2: Count the number of letters that are not L
There are 7 letters that are not L.
Step 3: Calculate the probability
The probability that the letter chosen is not an L is 7/8.
Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?
Answer: 40 cm
Step-by-step explanation:
The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm
what is 92,572 rounded to the nearest ten thousand
Answer: it is 90,000 i believe
Answer: 90,000
Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down
(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)
A hospital near a ski resort records the type of injuries treated during ski season and other seasons and other seasons over a year. the results shown in the table will help determine the medical staff that is required at different times of the year. according to the data in the table, what is the probability that a patient will need to be treated with a broken bone during ski season.
Answer:
The answer is C
Step-by-step explanation:
You have to divide both numerators then the denominater.
So, it would look like: 160 over 90 x 100 over 290
160x100=16 90x290=25 16/25
69°F
() Which ordered pairs represent points on the graph of this equation? Select all that apply.
7y = -4x + 28
>
(3, -6)
(5,0)
(0,4)
(-4,-5)
(-5, 1)
(-6, 3)
Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.
What exactly is a line equation?A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.
given
7y = -4x + 28
For (3,-6)
7(-6) + 4( 3) = 28
-42 + 12 = 28
no
For (5,0)
7(0)+4(5)= 28
= 20
no
For (0,4)
7(4)-0=28
Yes
For (-4,-5)
7(-5)+4( - 4)= 28
no
For (-5, 1)
7(1)+4(-5)=28
No
For (-6,3)
7(-6)+4(3)= 28
No
hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.
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Red city rockets connections academy
Answer: what
Step-by-step explanation:
Someone please solve this pageee!!
On solving the provided question we can say that - the value of the equation x = y^2 -5 from the graph will be 59.
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
here, the equation from the graphs is
[tex]y^2 = x^8 -7.8x-9,=.43y[/tex]
and y = 8
x = 59
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If m∠ABJ = 28, ∠ABC ≅ ∠DBJ, find m∠JBC
The measure of angle ∠JBC is 56 degrees.
How to find the measure of an angleFrom the question
If m∠ABJ = 28 and ∠ABC ≅ ∠DBJ, then we can set up the following equation:
m∠ABC = m∠DBJ
Since angles ∠ABC and ∠DBJ are congruent, they have the same measure, so the equation above is true.
Since we are trying to find m∠JBC, we can use the fact that the measure of an angle is equal to the sum of the measures of the other two angles in the triangle to set up another equation:
m∠JBC = m∠ABC + m∠ABJ
Substituting the value for m∠ABC from the first equation into the second equation, we get:
m∠JBC = m∠DBJ + m∠ABJ
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = m∠DBJ + 28
Since m∠ABJ = m∠DBJ, we can substitute m∠ABJ in for m∠DBJ:
m∠JBC = m∠ABJ + 28
Substituting the given value of m∠ABJ into this equation, we get:
m∠JBC = 28 + 28
Solving this equation, we find that m∠JBC = 56.
Therefore, the measure of angle ∠JBC is 56 degrees.
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write 363 in the base-four system
Answer:
363 = 11223₄
Step-by-step explanation:
You want 363 written in base 4.
Base conversionWe can convert to base 4 by looking at the remainders from repeated division by 4:
363 ÷ 4 = 90 r 3
90 ÷ 4 = 22 r 2
22 ÷ 4 = 5 r 2
5 ÷ 4 = 1 r 1
1 ÷ 4 = 0 r 1
Writing the remainders in reverse order gives the base-4 number:
363 = 11223₄
Given the following table, find the domain and range of the function.
A) domain: {2, 4, 5, 9}
B) range: {2, 4, 5, 9}
C) range: {-3, 1, 5, 7}
D) domain: {-3, 1, 5, 7}
The domain and range of the function on the table are the ones in options B and C.
Domain: {-3, 1, 5, 7}
Range: {2, 4, 5, 9}
How to find the domain and range of the function?For a function y = f(x), we define the domain as the set of the inputs, this is, the set of the possible values of x.
On the other hand, the range is the set of the outputs, this is, the set of the possible values of y.
Then the domain is just the set of the values of x on the table:
Domain: {-3, 1, 5, 7}
And the range is the set of the values of y on the table:
Range: {2, 4, 5, 9}
Then the correct options are C and B.
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The cost c in pounds of hiring a van for d days is given by the formula c=10+45d work out the cost for 5 day
The cost c in pounds of hiring a van is 235
The cost c in pounds for 1 day =45
Then cost c in pounds for five days is c=10+45d
Which is multiple 5 days to the 45
5 x 45 = 225
Add the 10 to the answer
225 + 10 = 235
The cost of a van hiring for number of days is 5
Then the final answer for cost c in pounds of hiring a van for five days are 235
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tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table
Girls Boys Total
blank blank 8
6 blank blank
blank 20 blank
30 blank blank
300 500 800
blank 800 blank
The complete table is given in the solution.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride
The ratio of girls to boys = 3:5
Therefore, The complete table is as follows:-
Girls Boys Total
3 5 8
6 10 16
12 20 32
30 50 80
300 500 800
480 800 1280
Hence, the complete table is above
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For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25
Answer:
Step-by-step explanation:
Step: Solve−3x−4y=15for x:
−3x−4y=15
−3x−4y+4y=15+4y(Add 4y to both sides)
−3x=4y+15
−3x
−3
=
4y+15
−3
(Divide both sides by -3)
x=
−4
3
y−5
We are asking everyone to focus on reducing their average transaction time by 10%. The average transaction time for this location is 6 minutes and 52 seconds."So we have to get the average transaction time down to __________."
Answer:
Step-by-step explanation:
The average transaction time of this location reduced to 371 seconds.
A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?
Answer:1.5 inches
Step-by-step explanation:
(36)^-2 x (9)^-2 i need help
Answer: 1/104976
Step-by-step explanation:
You can get rid of negative exponents by flipping the number. So in this case, the expression would change to: 1/(36)^2 x (9)^2.
From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.
1/104976 is your answer!