Answer:
D
Step-by-step explanation:
the volume (V) of a cube is calculated as
V = s³ ( s is the side length ) , then
V = 14³ = 2744 cm³
Answer:
D. 2744 cm³
Step-by-step explanation:
volume can be found by multiplying length × width × height
because we know that this is a cube, all side lengths are the same (meaning length, width, and height will all be the same)
so, we know our side length is 14cm, meaning that all of our measurements {length/width/height} are 14cm
length × width × height = volume
14 × 14 × 14 = 2744
when we write volume, we write it as cubed (x³)
{similarly, when we write area, we write it as squared (x²)}
so, we would write the volume of this cube to be 2744 cm³
(option D)
hope this helps! have a lovely day :)
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym, and has an area of 7000ft^2. write an equation to represent the area of the gym and track together in terms of width
The equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
We have:
A rectangular building for a gym is three times as long as it is wide. Just inside the walls of the building, there is a 6ft rectangular track along the walls of the gym and has an area of 7000ft²
Let x be the width of the rectangle.
As the area of track along the walls of the gym is 7000ft²
(x - 12)(3x - 12) = 7000
After simplifying:
3x² - 48x + 6856 = 0
Thus, the equation 3x² - 48x + 6856 represents the area of the gym and track together in terms of width.
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You have a bag of marbles that has 12 red, 5 green, 6 yellow, and 4 blue. If you draw one at random, what is P(red or green)? (What is the percentage)
[tex]|\Omega|=12+5+6+4=27\\|A|=12+5=17\\\\P(A)=\dfrac{17}{27}\approx63\%[/tex]
Nora and her children went into a grocery store and see by $5 worth of apples and bananas each Apple cost $1 each banana costs $0.50. She bought 3 times as many bananas as apples. By following the stars below determine the number of apples, x, and the number of banana, y, that Nora bought.
Solving a system of equations, we will see that Nora bought 2 apples and 6 bananas.
How many apples and bananas Nora did bought?Let's define the variables:
x = number of apples.y = number of bananas.We know that She buys 3 times as many bananas as apples.
y = 3*x
The total cost is $5.
x*$1 + y*$0.50 = $5
Then we have a system of equations:
y = 3*x
x*$1 + y*$0.50 = $5
Replacing the first equation into the second one we get:
x*$1 + (3x)*$0.50 = $5
Now we can solve this for x.
x*$1 + x*$1.50 = $5
x*$2.50 = $5
x = $5/$2.50 = 2
So She bought 2 apples, and:
y = 3*x = 3*2 = 6
And 6 bananas.
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A woman is sitting in a chair with her cat. When she stands up and tells the cat "Let's go. I'll give
you a treat!", the cat runs to the cabinet where his food is stored (a distance of 12 meters) and then to
his bowl (a distance of 5 meters). For how many second will the cat be waiting and meowing at his
bowl if he can run 10 meters per second and the woman can walk 1 meter per second? Consider that
the woman also needs 2 seconds to take the treat from the cabinet plus 3 more seconds to open the
package and put the treat in the cat's bowl.
The cat will be waiting and meowing at his bowl for 18.3 seconds.
How to calculate the total time taken?The time it takes the cat to reach the bowl = 3.7 seconds (17/10 + 2)
The time it takes the woman to reach the bowl = 17 seconds (17/1)
The total time it takes the woman to put the food = 22 seconds (17 + 3 + 2)
Waiting time = 18.3 seconds (22 - 3.7)
Data:Distance to the cabinet = 12 meters
Distance to the bowl = 5 meters
Total distance to be covered = 17 meters
Speed of the cat = 10 meters/s
Speed of the woman = 1 meter/s
Thus, since the time it takes is dependent on the speed of both, the cat will be waiting and meowing at his bowl for 18.3 seconds.
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In the diagram below, if AB = 24, AC = 8, and BD = 6, then find the length of DC.
A) 8
B) 2
C) 12
D) 3
thank you :)
Answer: 2
Step-by-step explanation:
By the angle bisector theorem,
[tex]\frac{8}{24}=\frac{DC}{6}\\\\DC=2[/tex]
The length of DC is 2
What is angle bisector theorem?Angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Given:
AB = 24, AC = 8, and BD = 6
Now, using angle bisector theorem
AB/ AC = BD / DC
24 / 8 = 6 / DC
3 DC= 6
DC = 2
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60,120,130 without a reminder
Step-by-step explanation:
what is the question. what am I to do with those random numbers without a question, I'm just writing all this because they said at least 20 characters so don't get offended but pls give a detailed question
isha wants to paint the four walls of her living room.
Each wall is 2.6 m high and 3.5 m long.
One wall has a door of 2.2 m by 0.8 m.
Tins of paint cost £11 per 2 litre tin.
Each litre of paint can cover 8 m2 of wall.
There is an offer of: Buy 2 tins get the 3rd at half price.
How much will Aisha pay to paint her living room?
The amount Aisha would pay to paint her living room is £38.50.
What is the cost of painting the living room?The first step is to determine the area of the walls that do not have doors.
Area of a wall = length x width
3 x (2.6 x 3.5) = 27.30 m²
Dimensions of the wall with the door : (2.6m - 2.2m) x (3.5 - 0.8) = 0.4m x 2.7m
Area of the wall with the door : 0.4m x 2.7m = 1.08 m²
Total area of the walls: 27.30 m² + 1.08 m² = 28.38 m²
Number of paint tins needed for the walls : 28.38 / 8 = 3.55 = 4 tins
Cost of the paint tins : (11 x 3) + (0.5 x 11) = £38.50
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Please answer the question below
The value of x in the given sector is determined as 7.1.
Area of the sectorTotal area of the sector = area of the shaded + area of the unshaded
Since shaded and unshaded areas are equal, the value of x is calculated as follows;
πr²θ/360 = πx²60/360 + πx²60/360
πr²θ/360 = 2(πx²θ/360)
πr² = 2(πx²)
r² = 2x²
x² = r²/2
x² = (10²)/2
x² = 50
x = √50
x = 7.1
Thus, the value of x in the given sector is determined as 7.1.
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An angle measures 22.4° more than the measure of its complementary angle. What is the measure of each angle?
The first angle is 33.8° and second angle is 56.2°.
What is Complementary angle?
If the sum of the two angles is equal to the measurement of a right angle then the pair of angles is said to be complementary angles.
Complementary angles are the angles whose sum makes 90⁰.
Let's say our first angle is x:
x = first angle
According to the question,
The other angle is 22.4° more than the complementary angle.
Therefore, 22.4° will be added to the other angle.
first angle = x
second angle = x + 22.4°
Since, complementary angle is equal to the sum of the two angles to be 90°.
∴ x + x + 22.4° = 90°
2x = 90 ° - 22.4°
2x = 67.6°
x = 67.6° / 2
x = 33.8°
Thus, the first angle is 33.8° and second angle is 56.2°.
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Audrey is driving to a concert and needs to pay for parking. There is an automatic fee of $6 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Audrey have to pay for parking if she left her car in the lot for 5 hours? How much would Audrey have to pay if she left her car in the lot for tt hours?
Answer:
a. $16
b. $26
Step-by-step explanation:
a. 6+2(5)= 16
b. im assuming tt means ten 6+2(10)=26
If Audrey leaves her car in the lot for "t" hours, she would have to pay a total of $6 + $2t for parking.
If Audrey leaves her car in the parking lot for 5 hours, she will have to pay the initial fee of $6 plus $2 for each hour she parked. For 5 hours, she will pay:
Initial fee: $6
Additional fee for 5 hours: $2 * 5 = $10
Total parking cost: $6 + $10 = $16
If Audrey leaves her car in the parking lot for "t" hours, the total parking cost can be calculated as:
Total parking cost = Initial fee + Additional fee for "t" hours
Total parking cost = $6 + $2t
So, if Audrey leaves her car in the lot for "t" hours, she would have to pay a total of $6 + $2t for parking.
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Solve the inequality
x² + 2x + 1 < 0.
Hello
x² + 2x + 1 < 0 ⇔ (x + 1)² < 0
S = {∅} because a² ≥ 0
Fill in the missing statements and reasons in this proof. Number your reasons 1 through 5 as they would be shown in the chart below.
Given: m∠LOM = m∠JKI;
m∠MON = m∠IKH
Prove: m∠LON = m∠HKJ
I have an answer written down but i'm not sure if I am right. I require assistance because proofs are confusing
Using the above conditions ; If m ∠LOM = m ∠JKI, if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.
What are congruent angles about?An angle is known to be Congruent if its angles do have equal measure."
Note that question, In the said figure of the angles (image attached),
m ∠LOM = m ∠JKI (congruent angles) taken as 1
m ∠MON = m ∠IKH (congruent angles) taken as 2
The one should sum up both the side angle of m ∠MON in (1) we obtain;
m ∠LOM + m ∠MON = m ∠JKI + m ∠MON
Then one should replace angle m ∠MON = m ∠IKH from (eqn. 2) on right hand side and then it will be:
m ∠LOM + m ∠MON = m ∠JKI + m ∠IKH taken as (3)
Then:
m ∠LOM + m ∠MON = m ∠LON ( M is said to be the interior point of ∠LON) taken as (4)
Since m ∠JKI + m ∠IKH = m ∠HKJ ( I is said to be the interior point of ∠HKJ) taken as number (5)
Using Number (3) , (4) and (5) in the image attached, we obtained:
m ∠LON = m ∠HKJ (Congruent angles)
Therefore, Using the above conditions ; If m ∠LOM = m ∠JKI, if m ∠MON = m ∠IKH it is proved below that m ∠LON = m ∠HKJ as are congruent angles.
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-5 4 3 2 -1
5
4
32
42
-3
-4
-5
2 3
4
5
Use the graph and table to write the equation that
describes the line graphed.
X
-2
-1
0
1
2
The equation of the line is
y
1
2
3
4
5
2 Add the given fractions. Write the answers in the simplest form
A. 18/16 and 22/24 =
B. 23/13 and 42/15 =
C. 27/16 + 15/12 =
Answer:
A. 18/16 + 22/24 = 49/24
B. 23/13 + 42/15 = 297/65
C. 27/16 + 15/12 = 47/16
Step-by-step explanation:
18/16 + 22/24
= 54/48 + 44/48
= 98/48
= 49/24
…………………
23/13 + 42/15
=(23×15)/(13×15) + (42×13)/(13×15)
= 345/195 + 546/195
= 891/195 (divide both sides by 3)
= 297/65
……………………………………
27/16 + 15/12
= 81/48 + 60/48
= 141/48 (divide both sides by 3)
= 47/16
A researcher conducts a power analysis for a study in which there was no difference between control and experimental group scores and identifies a power level of 0.75 and a level of significance of 0.05. What will this researcher do
Consider repeating the study using a larger sample.
Too small a sample may prevent the findings from being extrapolated, whereas too huge a sample may additionally increase the detection of differences, emphasizing statistical variations that are not clinically relevant.
Selecting the proper sample length will increase the chance of detecting an impact, and ensures that the look is both ethical and value-powerful. Repeated measures designs are widely used due to the fact they have got blessings over pass-sectional designs.
Larger sample sizes provide extra accurate mean values, perceive outliers that would skew the information in a smaller pattern and provide a smaller margin of blunders.
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please answer asap I would really appreciate it <3
The toroid formed by rotating the rectangular figure gives;
a. A toroid
b. 374•π
c. 400•π
d. The surface area will be 4 times the initial surface area
The volume will be 8 times the initial volume
How can the shape formed and it's characteristics be found?Taking the distance from the y-axis as 8
Width of the rectangle; 2.5
Length; 6
We have;
a. The solid of revolution is a toroid, having sharp corner edges
b. The surface area is found using the surface area of a hollow cylinder as follows;
Outer radius = 8 + 6 = 14
Inside radius = 8
Width = 2.5
Outer area = 2• π × 14 × 2.5 = 70•π
Inner area = 2• π × 8 × 2.5 = 40•π
[tex]{\pi \cdot 14 }^{2} - {\pi \cdot 8 }^{2} = 132 \cdot\pi[/tex]
The surface area of the figure is therefore;
70•π + 40•π + 2×132•π = 374•πc. The volume of the solid of revolution is found as follows;
[tex]{\pi \cdot 14 }^{2} \times 2.5 - {\pi \cdot 8 }^{2} \times 2.5= 400 \cdot \pi[/tex]
The volume of solid is 400•πe. When the dimensions are doubled, we have;
The linear scale factor = 2
The area scale factor = 2^2 = 4
Therefore;
The surface area of the solid, S' = 4 × 374•π = 1496•π (4 times initial surface area)The volume scale factor = 2^3 = 8
The volume of the solid following the enlargement, is therefore;
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5 Quick algebra 1 questions for 50 points!
Only answer if you know all 5, Tysm! :)
The equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4
How to determine the equations?When a linear equation is represented as:
Ax + By = C
The slope (m) is:
m = -A/B
When the linear equation is represented as:
y = mx + c
The slope is m
A line perpendicular to a linear equation that has a slope of m would have a slope of -1/m
Using the above highlights, the equations of the lines are:
6. y = -2x + 5; (2, 7)
The slope is:
m = -2
The perpendicular slope is:
n = 1/2
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 1/2(x - 2) + 7
Evaluate
y = 1/2x - 1 + 7
This gives
y = 1/2x + 6
7. y = -5; (11, 15)
The slope is:
m = 0
The perpendicular slope is:
n = 1/0 = undefined
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 15
8. Graph ; (-12, 10)
The slope is:
m = (y2 - y1)/(x2 - x1)
Using the points on the graph, we have:
m = (2 - 3)/(3 - 4)
m = 1
The perpendicular slope is:
n = -1
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = -1(x + 12) + 10
y = -x - 12 + 10
Evaluate
y = -x - 2
9. y = -1/6x + 1; (-2, -9)
The slope is:
m = -1/6
The perpendicular slope is:
n = 6
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 6(x + 2) - 9
Evaluate
y = 6x + 12 - 9
This gives
y = 6x + 3
10. 6x + 2y = 14; (12, 0)
The slope is:
m = -6/2
m = -3
The perpendicular slope is:
n = 1/3
The equation of the perpendicular line is:
y = n(x - x1) + y1
This gives
y = 1/3(x - 12) + 0
Evaluate
y = 1/3x - 4
Hence, the equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4
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find the remainder when f(x)=4x3-20x-50 is divided by x-3
Answer:
-2
Step-by-step explanation:
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
a) rite equations for both Khalil's and Ronda's purchases.
b)solve the system to find the price of one can of soup and the price of one loaf of bread.
please help :((
Answer:
a. The equation should be
4x + 3y = $11.67
8x + y = $12.89
b. The price of one can of soup and the price of one loaf of bread is $1.355 and $2.09
The calculation is as follows:
here we assume the soup be x and bread be y
So, the equations are
4x + 3y = $11.67 .........(1)
8x + y = $12.89.........(2)
Here we need to multiply by 2 in equation 1
8x + 6x = $23.34
8x + y = $12.89
5y = $10.45
y = $2.09
Now x should be
8($2.09) + y = $12.89
x = $1.355
Hope this helps :)
Answer:
A)
Khalil: 4s + 1b = 11.67
Ronda: 8s + 1b = 12.89
B)
Can of soup = $0.305
Loaf of Bread = $10.45
(Please mark brainliest)
Step-by-step explanation:
Make s a can of soup
Make b a loaf of bread
A)
Khalil: 4s + 1b = 11.67
Ronda: 8s + 1b = 12.89
B)
12.89 - 11.67 = 1.22
1.22 / 4 = 0.305
11.67 - 1.22 = 10.45
Can of soup = $0.305
Loaf of Bread = $10.45
if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1
Answer:
8Step-by-step explanation:
if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1
add 8 red =
9/3 = 3/1
A ski slope is 1 km long and has an average slope of
13.4, what is the height of the mountain to the nearest metre?
Answer:
13400 m
Step-by-step explanation:
The slope is defined as:
[tex]Slope=\frac{Rise}{Run}[/tex]
Substitute slope=13.4, Run=1 km=1000 m :
[tex]13.4=\frac{Rise}{1000}[/tex]
Solve for Rise:
[tex]Rise=13.4\cdot 1000=13400 ~m[/tex]
Place valu of 4 in 65400 is
Answer:
hundreds place in what the place value of the number 4 in 65400 the 6 is the hundred thousand place the 5 is the thounds place the four is the hundred place. The first zero is the 10th place. in the seconds, zero is the one place value
Answer:
The value 4 is in the hundreds place.
Step-by-step explanation:
We have the number 65400. The last digit in the number is 0, the 0 is in the ones place. The next number, which is also 0, is in the tens place. The next number after that is a 4, which is in the hundreds place. This shows that the 4 is in the hundreds place.
ten-thousands thousands hundreds tens ones
6 5 4 0 0
Hope this helps!
If not, I am sorry.
2 c) factorize : x² - 2xy + y²
Answer:
(x-y)²
Since, it's formula of (x+y)² ...
Hello!
This is an identity :
[tex]\boxed {(x - y)^2 = x^2 - 2xy + y^2}[/tex]
∴ The factors are (x - y) and (x - y).
Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results: Mean Grade Standard Deviation Professor 1 79.3 22.4 Professor 2 82.1 12.0 What are the degrees of freedom for the numerator of the F ratio
The degrees of freedom for the numerator of the F ratio can be calculated to be 9.
How many degrees of freedom is the numerator of the F ratio?The degrees of freedom for the numerator can be found to be:
= number of exams graded - 1
Solving gives:
= 10 - 1
= 9
In conclusion, the degrees of freedom for the numerator of the F ratio is 9.
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A worker at a farm supply company in Franklin County is mixing up a 420-kilogram batch of its special grain blend for horses, which costs $5.80 per kilogram to make. If the mixture includes oats that cost $9.40 per kilogram and feed corn that costs $3.40 per kilogram, how many kilograms of each should the worker include in the mixture?
_?__ Kilograms of oats
_?__ Kilograms of feed corn
Answer:
168 kg oats and 252 kg corn
Step-by-step explanation:
2 equations and 2 unknowns
eq 1: x + y = 420
x is the amount of oats
y is amount of corn
eq 2: 9.4x + 3.4y = 5.8*420
solve equation 1 for x
x = 420 - y
substitute the value of x in eq 2
9.4(420-y) + 3.4y = 2436
y = 252
substitute y in eq 1
x + 252 = 420
x = 168
Consider the paragraph proof.
Given: D is the midpoint of AB, and E is the midpoint of AC.
Prove:DE = One-halfBC
On a coordinate plane, triangle A B C is cut by line segment D E. Point D is the midpoint of side A B and point E is the midpoint of side A C. Point A is at (2 b, 2 c), point E is at (a + b, c), point C is at (2 a, 0), point B is at (0, 0), and point D is at (b, c).
It is given that D is the midpoint of AB and E is the midpoint of AC. To prove that DE is half the length of BC, the distance formula, d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot, can be used to determine the lengths of the two segments. The length of BC can be determined with the equation BC = StartRoot (2 a minus 0) squared + (0 minus 0) squared EndRoot, which simplifies to 2a. The length of DE can be determined with the equation DE = StartRoot (a + b minus b) squared + (c minus c) squared EndRoot, which simplifies to ________. Therefore, BC is twice DE, and DE is half BC.
Which is the missing information in the proof?
a
4a
a2
4a2
Applying the distance formula, DE = a. Therefore, the missing information is: A. a.
What is the Distance Formula?Distance Formula for determining the distance between two points on a coordinate plane is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
In the proof given, applying the distance formula to find DE, we have:
DE = √[(a + b - b)² + (c - c)²}
Simplifying this, we would have:
DE = √(a² + 0²) = √(a²)
DE = a
Therefore, the missing information in the proof is: A. a.
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Answer:
A. a
Step-by-step explanation:
got it right on edge23
help asap grade 5 math.
Answer:
A and C
Step-by-step explanation:
multiplying the value by a fraction < 1 will give a value less than the original value.
multiplying the value by an integer greater than 1 will give a value greater than or equal to the original value
A and C have 6,766 multiplied by a fraction < 1 , then
A and C have a value less than 6,766
Answer: A and C
Step-by-step explanation: Every time you multiply a fraction by a whole number, you get less than the whole number
-4,12-5-22,24-100,37 ordenar de menor a mayor
Answer:
24-100, 12-5-22, -4, 37
Step-by-step explanation:
NEED HELP ASAP!!
This graph shows the total number of patients seen by a doctor over the course of a 5-day workweek.
What are the domain and range of this relationship??
Answer: its the last one
Step-by-step explanation:
i guessed and got it right
Reza paid $4,500 as a down payment on a car. she then made equal monthly payments of $250. reza paid a total of $10,500 for her car. how many months did she make payments on the car and which function can be used to find the answer?
Answer:
it took her 18 month
Step-by-step explanation:
if you divide 4500 with 250 you get the ans