Surface area of old cube
6(side)²6x²Side of new cube
x+ySurface area
6(x+y)²6(x²+y²+2xy)6x²+6y²+12xyDifference
6y²+12xyAnswer:
A) 6(x + y)² = 6x² + 12xy +6y²
B) 12xy +6y²
Step-by-step explanation:
Surface area of a cube = 6s² (where s is the side length)
Part A
Given:
x = side length of original cube⇒ Surface area of the original cube = 6x²
If the side length of the cube is increased by y, then:
(x + y) = side length of new cube⇒ Surface area of the new cube = 6(x + y)²
Expand and simplify:
⇒ 6(x + y)²
⇒ 6(x + y)(x + y)
⇒ 6(x² + xy + xy + y²)
⇒ 6x² + 12xy +6y²
Part B
To find the difference between the surface areas of the new and original cubes, subtract the surface area of the original cube from the surface area of the new cube:
⇒ SA of new cube - SA of original cube
⇒ 6x² + 12xy +6y² - 6x²
⇒ 12xy +6y²
There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?
The probability of bringing an apple is 0.20
How to determine the probability?The distribution of the fruits is given as:
3 apples2 bananas4 oranges5 kiwi,1 passion fruit.The probability of bringing an apple is:
P(Apple) = Apple/Total
This gives
P(Apple) = 3/(3 + 2 + 4 + 5 + 1)
Evaluate
P(Apple) = 0.20
Hence, the probability of bringing an apple is 0.20
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The function f(x) = − x^2+ bx +1 is shown in the graph. What is the value of b?
Answer:
b = 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
here ( h, k ) = (2, 5 ) , then
y = a(x - 2)² + 5
to find a substitute any point on the parabola into the equation
using (0, 1 ) then
1 = a(0 - 2)² + 5 ( subtract 5 from both sides )
- 4= a(- 2)²= 4a ( divide both sides by 4 )
- 1 = a
then
y = - ( x - 2)² + 5
= - (x² - 4x + 4) + 5
= - x² + 4x - 4 + 5
= - x² + 4x + 1 ← in the form ax² + bx + c
with b = 4
Based on the graph, which statement is correct about the solution to the system of equations for lines A and B
Answer:
the answer is (3,4) is the solution to line A but not to line b
All of the details to the question are in the picture that is attached in this question, please help
Answer: 10
The arc length of the semicircle is
a+(a+1)+(a+2)+(a+3)+(a+4)=5a+10
As x = 42, this means a+4 is 42/180 of the arc length of the circle, 5a+10.
So,
(42/180)(5a+10)=a+4
42(5a+10)=180(a+4) [multiply both sides by 180]
210a+420=180a+720 [distributive property]
30a+420=720 [subtract 180a from both sides]
30a=300 [subtract 420 from both sides]
a=10 [divide both sides by 30]
Consider the following graph.
Which statement best describes Cheryl's commute?
A. Cheryl accelerated to 65 mph, made a stop for 5.5 minutes, and then decelerated to 45 mph.
B. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and the decelerated to 45 mph.
C. Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.
D. Cheryl drove at a speed of 65 mph for 1 minute, made a stop for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes
The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
How to find the function which was used to make graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Let's assume the graph of Cheryl's commute was like the one below.
We can see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.
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I just asked a question and this user name venus1234 deleted it for "Violating the Brainly Code" blah blah blah..............Here's the question. Points A and B are on a line with a slope that is . Point C is on the same line. Which could be the ratio of rise to run between points B and C? A. 9/12 B. 8/5 C. 14/17 D. 15/24 please hurry! :) thats all and I apparently "violated the code" I don't understand Isn't this a site for asking questions?
The ratio of rise to run between points B and C is the same as the slope of line AB
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Slope of a line = ratio of rise to run = rise / run
Hence:
The ratio of rise to run between points B and C is the same as the slope of line AB
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If a || b and b I y then
Please help look at picture
Answer:
Abbly non of them your question is wrwon
What is the product of (6x^2 − 8)(9x^2 – x + 1)?
[tex](6 {x}^{2} - 8)(9 {x}^{2} - x + 1) \\ 54 {x}^{4} - 6 {x}^{3} + 6 {x}^{2} - 72{x}^{2} + 8x - 8 \\ 54 {x}^{4} - 6 {x}^{3} - 66 {x}^{2} + 8x - 8[/tex]
Hope it helps
please give brainliest
can someone please help mee(20 points and i will give brainliest!!!)
The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.
So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).
Drag each tile to the correct box.
A certain kind of bacteria multiplies at a rate of 150 percent per hour. When a person’s blood has 45,000,000 of these bacteria, the person will fall sick. Let’s suppose 100 such bacteria entered a person’s blood. How many hours will it take for the person to become sick? Arrange the steps in the right order to show how to find the number of hours it will take for the person to fall sick.
The steps arranged in the right order are:
45,000,000 = [tex]100(1 + 1.5)^{t}[/tex]
45,000,000 = [tex]100(2.5)^{t}[/tex]
450,000 = [tex](2.5)^{t}[/tex]
log 450,000 = log [tex](2.5)^{t}[/tex]
log 450,000 = log t (2.5)
[tex]\frac{log 450,000}{log 2.5} = t[/tex]
5.632 / 0.3979 = t
t = 14.21 hours
What are the correct steps?The equation that can be used to represent the growth rate of the bacteria is an exponential equation. The form of exponential equations is:
FV = P(1 + r)^t
Where:
FV = future value of the bacteria PV = present population r = rate of increase t = number of hours45,000,000 = 100( 2.5)^t
t = log 450,000 / log 2.5
t = 14.21 hours
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Find the inverse please tell me where to put the dots thanks
Answer:
Draw a line segment from (-7, -2) to (3, 8)
See the diagram below.
You do not have to draw the blue dashed line. It's there to show how the points reflect over.
=========================================================
Explanation:
The inverse will have us swap x and y. The point (x,y) becomes (y,x)
The endpoint (-2, -7) becomes (-7, -2)
Also (8,3) moves to (3, 8)
Visually, these points are being reflected over the line y = x to form the inverse. We only need to worry about the endpoints because 2 points is the minimum needed to form a straight line.
Check out the diagram below. The red segment is the inverse. The blue dashed line is the line y = x. You don't have to plot this line as it's just a visual tool to see what's going on. Your teacher likely will only want the red segment.
Since the original segment is parallel to y = x, the inverse is also parallel to the mirror line. All three lines are parallel.
What order do I put the numbers in
We have following associations:
m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equalityHow to complete the proof of a geometric theorem
In this question we need to fill the blanks of a given proof by understanding and taking advantage of the most important axioms and theorems of Euclidean geometry and real algebra. In this case, a linear pair is the combination of two angles whose sum equals 180°, and those angles are always supplementary.
Thus, we have following associations:
m ∠ADC + m ∠CDB = 180° → Definition of linear pair∠ADC is supplementary to ∠CDB → Definition of supplementary angles 2 · m ∠BDC = 180° → Substitution property of equalitym ∠BDC = 90° → Division property of equalityTo learn more on Euclidean theorem: https://brainly.com/question/13104788
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FW = 6 units, X = 3 units, and Y = 5 units, what is the surface area of the figure?
The surface area of the figure is approximately: 178 units².
How to Find the Surface Area of a Figure?The surface area of any figure is the area of all its faces.
Find the area of each face as shown below:
Area of base = w² = 6² = 36 units²
Area of the 4 rectangular faces = 4(6)(3) = 72 units²
Area of the 4 triangular faces = 4[1/2bh]
b = w = 6 units
h = √(y² + (w/2)²) = √(5² + (6/2)²) = 5.8 units
Area of the 4 triangular faces = 4[1/2(6)(5.8)] = 69.6 units²
Surface area = 36 + 72 + 69.6 ≈ 178 units²
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How many students scored 5 marks?
Answer:
9
Step-by-step explanation:
2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1 + x = 40
x = 40 - (2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1)
x = 40 - (3 + 7 + 12 + 6 + 3)
x = 40 - (10 + 18 + 3)
x = 40 - 31
x = 9
In the diagram below, line d is parallel to line c.
Which statement is true?
A
m∠1+m∠2=162∘
B
m∠1+m∠2=172∘
C
m∠1+m∠2=180∘
D
m∠1+m∠2=188∘
Answer:
85° = ∠x {corresponding angles}
∠x = ∠1 {vertically opp. angles}
And, ∠2 + 103° = 180° ( co-interior angles)
∠2 = 180° - 103°
∠2 = 77°
Now, m∠1 + m∠2 = 85° + 77°
= 162°
Hemce, option A. is the right answer.
can someone please help mee
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Domain = [-3, 1)[/tex]
[tex]\qquad \tt \rightarrow \:Range = [-5 , 4][/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Domain = All possible values of x for which f(x) is defined
[ generally the extension of function in x - direction ]
Range = All possible values of f(x)
[ generally the extension of function in y - direction ]
[tex] \large\textsf{For the given graph : } [/tex]
[tex]\qquad \tt \rightarrow \: domain = [ -3, 1)[/tex]
[tex]\qquad \tt \rightarrow \: range= [ -5,4][/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
A robot moves at a constant speed. The distance it moves and the time it spends moving are shown in this table:
10min 7km
15min 10.5km
20min 14km
Write an equation to describe the relationship between t, the time, and d, the distance.
The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
As we know,
time(t) = speed(s)×distance(d)
Speed is constant:
t ∝ d
t = kd
k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43
The equation is:
t = 1.43d
Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d
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Answer:
d=0.7t
Step-by-step explanation:
the other dude is wrong
the number of people with one type of flu doubles every day for several days what type of function represents this pattern
Answer:
The answer will be Exponential growth.
Please mark me as the brainliest.
Answer:
exponential growth
Step-by-step explanation:
The average rate of the first part of Yi’s walk on a park loop was 4 miles per hour. She then met up with a friend and the two walked the rest of the way at an average rate of 5 miles per hour. The entire 3-mile walk took Yi 42 minutes (0.7 hour). Which equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend?
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Part 1 and has 4, x, and 4 x. The second row shows Part 2, and has, 5, 0.7 minus x, and 5 left-parenthesis 0.7 minus x right-parenthesis.
x = 0.7 – x
x + (0.7 – x) = 1
4x + 5(0.7 – x) = 1
4x + 5(0.7 – x) = 3
The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Total distance covered = 3 miles.
The first part walked at the rate of 4 miles per hour.
Let us consider x hours was walked in the first part.
Total distance covered in x hours at the rate of 4 miles per hour will be 4x.
Now, the Second walk rate with meeting with friend will be 5 miles per hour.
The Total time is taken = 0.7 hours.
Therefore, time is taken in the second walk only = (0.7 - x) hours.
Distance covered in second walk = 5 (0.7 - x).
Total distance covered = distance covered in the first part + distance covered in the second part.
4x + 5 (0.7 - x) = 3 miles.
Hence, correct option is D; 4x + 5(0.7 – x) = 3.
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Answer:
its d
Step-by-step explanation:
The interior angle of the regular pentagon below measures 108°, and the
pentagon has rotational symmetry. What is the following measure of
an interior angle after a 90° rotation around the point of symmetry?
answer?...................
Step-by-step explanation:
please mark me as brainlest
Answer:
135
Step-by-step explanation:
2x²/x + x(100 - 15x)
If x = 5 ;
2(5)²/5 + 5(100 - 15×5)
= 2×25/5 + 5(100 - 75)
= 2 × 5 + 5 × 25
= 10 + 125
= 135
A pink crayon is made with 12\text{ mL}12 mL12, start text, space, m, L, end text of red wax for every 5\text{ mL}5 mL5, start text, space, m, L, end text of white wax. Which of the following wax mixtures will create the same shade of pink? Choose 2 answers: Choose 2 answers:
Mixtures D and E have a ratio of 5:12 and will create the same shade of pink. Options D and E are correct.
What is the difference between a ratio and a proportion?A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.
Given data;
red wax = 12 ml
white wax = 5 ml
A red wax: white wax = 5:12
B. red wax: white wax=4:1
C red wax white wax = 13: 6
D. red wax: white wax=12:5
E. red wax white wax=12:5
Hence, mixtures D and E have a ratio of 5:12 and will create the same shade of pink.
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A carpenter started with a board that was 31 inches long. he cut 2 pieces that were each 3 inches long. he then cut 3 pieces that were each
Answer:
i don't know
Step-by-step explanation:
i
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 65 85 Type B 38 12 Compare P(Male or Type B) with P(Male | Type B).
P(Male or Type B) > P(Male | Type B) P(Male or Type B) = P(Male | Type B) P(Male or Type B) < P(Male | Type B) There is not enough information.
The option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have a table:
Male Female
Type A 65 85
Type B 38 12
Male type B = Type B Male/Total Male
Female type B = 38/(65+38) = 12/103 = 0.11
Male or Type B= Male + Type B female/ total
= 103+12/(97+103)= 135/200 = 0.675
P(Male or Type B) > P(Male |Type B)
Thus, the option second "P(Male or Type B) > P(Male |Type B)" is correct because P(Male or Type B) is 0.675 and P(Male |Type B) is 0.11.
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Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time t.
Which statements are true of the scenario? Select two answers..
The independent variable, the input, is the variable d, representing distance.
The distance traveled depends on the amount of time Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The equation t = d + 16 represents the scenario.
The function f(t) = 16t represents the scenario.
A function assigns the values. The correct option is B and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is 16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,
The distance traveled depends on the amount of time Marlene rides her bike.
The function f(t) = 16t represents the scenario.
Hence, the correct option is B and E.
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Answer:
B and E
Step-by-step explanation:
correct on Edge
he tables represent the functions f(x) and g(x). A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, f(x), has the entries, negative 5, negative 3, negative 1, 1, 3, 5. A table with 2 columns and 7 rows. The first row, x, has the entries, negative 3, negative 2, negative 1, 0, 1, 2. The second row, g(x), has the entries, negative 13, negative 9, negative 5, negative 1, 3, 7. Which input value produces the same output value for the two functions?
A function assigns the values. The input value that produces the same output value for the two functions is 1.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For the given tables the x is the input while f(x) and g(x) are the outputs of the respective functions. Therefore, the input for which the two given functions will return the same output is 1.
Hence, the input value that produces the same output value for the two functions is 1.
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What is the value of f(1)?
0
1
2
4
Answer:
Solution*-1
Step-by-step explanation:
because 1 is the value of (1)
The function f(x) is shown on the graph.
-181x
15
12-
Hr)
-9-
6-
3-
-3
T
3
9
12-
10
18+
If f(x) = 0, what is x?
O 0 only
O -6 only
O-2, 1, or 3 only
O-6, -2, 1, or 3 only
Answer: -6
Step-by-step explanation:
Inventory was taken on Day 1, Day 2, Day 5, Day 6, and Day 7. Norris wants to know roughly what the inventory was on Day 3.
What should he do to estimate the inventory on Day 3?
He should use the value for Day 2 because it is closest in value to Day 3.
He should randomly pick a point near the fitted line where x=3.
He should evaluate the function f(x)=−1/3 x+4 for y=3.
He should evaluate the function f(x)=−1/3 x+4 for x=3.
Answer:
A
Step-by-step explanation:
guessing
He should evaluate the function f(x)=−1/3 x+4 for x=3 , Option D is the correct answer.
What in Interpolation ?Interpolation is when the line of best fit is used to determine the value of a point that is within the range of plotted points.
It is given to find the value at Day 3 which lies in the range of the points used for plotting
The line for best fit is
f(x) = (-1/3)x +4
At x = 3
f(3) = (-1/3) * 3 +4
f(3) = -1+4 = 3
Therefore He should evaluate the function f(x)=−1/3 x+4 for x=3
Option D is the correct answer.
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Find the length of side BC.
Give your answer to 3 significant figures
Answer:
[tex]\huge\boxed{\sf BC = 19.4 \ cm}[/tex]
Step-by-step explanation:
Given:θ = 71°
Adjacent = AB = 6.3 cm
Required:Hypotenuse = BC = ?
We will use the trigonometric ratio of cos.
[tex]\displaystyle cos \theta = \frac{Adjacent}{Hypotenuse} \\\\cos \ 71 = \frac{6.3}{BC} \\\\0.33 = \frac{6.3}{BC} \\\\BC =\frac{6.3}{0.33} \\\\\boxed{BC = 19.4 \ cm}\\\\\rule[225]{225}{2}[/tex]
