(2x6)^3/2 in it's simplest form is equal to 41.56. See the computation below.
What is the simplification of the above expression?Using BODMAS, we say
(2 x 6) = 12
12^(3/2)
= 41.5692
[tex]$\approx$[/tex] 41.56
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1. The total length of the stage is 76 feet.
If the trap doors are centered across the
stage, what is the distance from the left
side of the stage to the first trap door?
3. Anna is 26 feet high on a rock-climbing
wall. She descends to the 15-foot mark,
rests, and then climbs down until she
reaches her friend, who is 8 feet from
the ground. How many feet has Anna
descended?
2. An actor starts at point A, walks across
the stage, and then stops at point B
before disappearing through the trap door.
How far does he walk across the stage?
Choose the best answer.
5. Jordan wants to adjust the shelves in his bookcase so that
there is twice as much space on the bottom shelf as on the
top shelf, and one and a half times more space on the
middle shelf as on the top shelf. If the total height of
the bookcase is 0.9 meter, how much space is the
middle shelf on?
A 0.2 m
B 0.3 m
C 0.4 m.
D 0.5 m
6. In a rowing race, the distance between
the teams in first and second place is 5.7
meters. The distance between the teams
in second and third place is one-third that
distance. How much farther ahead is the
team in first place than the team in third?
F 7.6 m
H 2.5 m
G 5.7 m
J 1.9 m
4. Jamilla has a piece of ribbon that is
48.5 centimeters long. For her scrapbook,
she cuts it into two pieces so that one
piece is 4 times as long as the other.
What are the lengths of the pieces?
7. On a subway route, station C is located
at the midpoint between stations A and D. Station B is located at the
midpoint between stations A and C. If the distance between stations A and D
is 2.4 kilometers, what is the distance
between stations B and D?
A 0.3 km
C 1.2 km
B 0.6 km
D 1.8 km
The distance from the left side of the stage to the first trap door is 24 3/4.
given;
total lenght of the stage is 76 feet.
Anna is 26 feet high on a rock-climbing.
here we have to substract 76-26 1/2.
=76-26 1/2
=49 1/2/2
=24 3/4
Distance is a scalar quantity. The distance of an object can be defined as the complete path travelled by an object. For example. if a car travels east for 5 km and takes a turn to travel north for another 8 km, the total distance travelled by car shall be 13 km.the space between the two points are called distance
Distance is a scalar quantity. The distance of an object can be defined as the complete path travelled by an object. For example. if a car travels east for 5 km and takes a turn to travel north for another 8 km, the total distance travelled by car shall be 13 km..
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Rearrange the formula c=4/a-b to make a the subject
Answer:
[tex] a = \dfrac{4 - bc}{c} [/tex]
Step-by-step explanation:
c = 4/(a - b)
Multiply both sides by a - b.
c(a - b) = 4
ac + bc = 4
ac = 4 - bc
a = (4 - bc)/c
[tex] a = \dfrac{4 - bc}{c} [/tex]
What is the greatest common factor of 16, 44, and 28?
Answer:it is 4
4*4=16,4*11=44, 4*7=28
Step-by-step explanation:
The greatest common factor of 16, 44, and 28 is 4.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, are three numbers 16, 44, and 28.
All numbers are divisible by 2 but it is not GCD.
The GCD of three numbers 16, 44, and 28 is 4 as 4 is the highest number
that cam divides each of these numbers.
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During the school year, each student planted
1.2 x 10^2 flowers as part of a community
service project. If there are 1.5 x 10³
students in the school, how many flowers did
they plant in total?
Answer:
180000 total flowers
Step-by-step explanation:
1.2 × 10² = is the amount of flower for each student
1.5 × 10³ = is the total of students in school
Amount of flower × total student = total flowers
(1.2 × 10²) × (1.5 × 10³)
120 × 1500
= 180000
Are these good grades for middle school
Answer: kinda
Step-by-step explanation:
as long as you have a passing grade you will be fine, just work on the "F" :)
Given that f(x)=x^2+4x-32f(x)=x
2
+4x−32 and g(x)=x-4g(x)=x−4, find (f+g)(x)(f+g)(x) and express the result in standard form
Answer: So after solving and simplifying terms equation is[tex]x^4+10x^3-47x^2-360x+1296[/tex]
Step-by-step explanation: Given we have two equations f(x) =[tex]x^{2} +4x-32[/tex] and g(x) = [tex]x-4[/tex]
we have been asked to find ( f +g)(x) that is f(x)+g(x)
So first we add them [tex]x^{2} +4x-32 + x-4[/tex]
So we have an equation that is: [tex]x^{2} +5x-36[/tex]
Then we need to multiply both
[tex](x^2+5x-36)(x^2+5x-36)[/tex]
So we get[tex]\left(x^2+5x-36\right)^2[/tex]
Distribute parentheses
[tex]x^2x^2+x^2\cdot \:5x+x^2\left(-36\right)+5xx^2+5x\cdot \:5x+5x\left(-36\right)-36x^2-36\cdot \:5x-36\left(-36\right)[/tex]
On simplifying
[tex]x^4+10x^3-47x^2-360x+1296[/tex]
So standard form of result is [tex]x^4+10x^3-47x^2-360x+1296[/tex] .
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1) 6х - 4 = 5х - 11 ; ??
2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??
[tex] \bf\longrightarrow \: 6x - 4 = 5x - 11 \\ \bf\longrightarrow \: 6x - 5x = - 11 + 4 \\ \bf\longrightarrow \: x = - 7[/tex]
2) 0.3(x-2) = 0.6 + 0.2(x+4) ↓[tex] \bf\longrightarrow \: 0.3(x - 2) = 0.6 + 0.2(x + 4) \\ \bf\longrightarrow \: 0.3x - 0.6 = 0.2x + 1.4 \\ \bf\longrightarrow \: 0.3x - 0.2x = 1.4 + 0.6 \\ \bf\longrightarrow \: 0.1x = 2 \\ \bf\longrightarrow \: x = \frac{ \cancel2}{ \cancel0.1} \\ \bf \longrightarrow \: x = 20[/tex]
Evaluate 2d+32 when d=8.
Given [tex]2d+32[/tex]
[tex]d=8[/tex]
Put the value of d in the given equation
[tex]2d+32[/tex]
[tex]2(8)+32[/tex]
[tex]16+32[/tex][tex]= 48[/tex]
What we do in Evaluation in math?
The verb "evaluate" is used in mathematics to mean to discover or determine the worth of something. Finding the precise value of an algebraic expression or numerical computation is relevant here as well as financial mathematics.
In mathematics, the terms "evaluate" and "solve" are often used interchangeably. Consider the following basic multiplication problem: "Evaluate the cost of six tomatoes when the tomatoes are purchased at $2 each." The student would multiply 6 by 2 to get the result of $12. The term evaluate might also come before a list of inquiries, as a list of straightforward algebraic equations.
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Write an absolute value equation that has the solutions x = -6and x = 10
Jackie makes $11.75 an hour and worked for 14 hours this week.
How much more money did she make?
Answer: $164.5
Step-by-step explanation:
11.75*14=$164.5
Left-handedness is ________ common than usual among mathematicians and ________ common than usual among artists.
a. less; more
b. less; less
c. more; less
d. more; more
Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
What is a mathematical model?An equation set and a set of variables that define connections between the variables make up a mathematical model, which often explains a system.
As we know,
Mathematicians are more likely than average to be left-handed, while artists are more likely than average to be left-handed.
Thus, Left-handedness is more common than usual among mathematicians and more common than usual among artists option (d) more; more is correct.
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Chad will have new carpet put on the rectangular floors of two rooms in his house. One floor is 12 1/2 feet long, and
the other floor is 15 3/4 feet long. Each floor has a width of 10 feet.
What is the total area in square feet of the new carpet?
A 125 ft²
B 157.5 ft²
©282.5 ft²
96.5 ft²
Answer:
c) 282.5 ft²
Step-by-step explanation:
Formula we use,
A = L × W
The area of one floor will be,
→ 12 1/2 × 10
→ 25/2 × 10
→ 250/2
→ 125 ft²
The area of another floor will be,
→ 15 3/4 × 10
→ 63/4 × 10
→ 630/4
→ 157.5 ft²
Total area of the new carpet is,
→ 125 + 157.5
→ 282.5 ft²
Hence, the total area is 282.5 ft².
If One floor is 12 1/2 feet long, and the other floor is 15 3/4 feet long. Each floor has a width of 10 feet. Then total area of new carpet is 282.5 ft²
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that new carpet put on the rectangular floors of two rooms in his house.
One floor is 12 1/2 feet long
Second floor is 15 3/4 feet long.
Width is given by 10 feet.
We know that area of rectangle is
Area = Length × Width
The area of one floor will be,
12 1/2 × 10
25/2 × 10
250/2
125 ft²
The area of another floor will be,
15 3/4 × 10
63/4 × 10
630/4
157.5 ft²
Total area of the new carpet is,
125 + 157.5
282.5 ft²
Hence, the total area of new carpet is 282.5 ft².
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Double a number minus five is 11. What is the number?.
Answer:8
Step-by-step explanation: 8 *2=16-5=11
Do the points (15, -12), (28,14), and (32,21) all lie on the same line? Be sure you can explain why or why not.
Choosing different pairs of points we got different slopes, then we conclude that the 3 points don't lie on the same line.
Do the points lie on the same line?Remember that if a line contains two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:
a = (y₂ - y₁)/(x₂ - x₁)
Here the 3 points are on the same line if we get the same slope for any pair that we choose.
If we use the first two; (15, -12) and (28, 14), the slope is:
a = (14 - (-12))(28 - 15) = 8.67
If we use the second and third point (28, 14) and (32, 21), we get:
a = (21 - 14)/(32 - 28) = 6.125
We got different slopes, then we conclude that the 3 points don't lie on the same line.
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Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbl
Which number sentence tells the story of how many marbles he had left ?
The number of marbles left in the pocket after losing is 29 { after narrating the story in numerical sentences}
Given that Tran bought 25 marbles and put them in his pocket with 10 other marbles. He had a hole in his pocket and lost 6 marbles. and asked to narrate the story in numerical form
Total number of marbles Tran bought=25 marbles
Total number of marble Tran has before buying new marbles=10 marbles
Total number of marbles after buying new marbles=35 marbles
Given that he lost 6 marbles because of the hole in his pocket
Therefore, the Total number of marbles left=35-6
The total number of marbles left=29 marbles.
Therefore, The number of marbles left in the pocket after losing is 29 { after narrating the story in numerical sentences}
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Select the graph of the solution. Click until the correct graph appears.
|x| < 4
Answer:
Image 2: a segment from -4 to 4 with the endpoints excluded (with empty circles).
Step-by-step explanation:
|x| < 4 means "the distance from x to 0 is less than 4". That means that any number bigger than -4 and smaller than 4 matches the inequality from the question.
Side note: Please start analyzing the absolute values as "distance from 0" and you'll be able to solve those questions yourself with less effort.
The sides of a rectangle are x and 3 - 2x. Express the rectangle's area as a function of x. Express the rectangle's perimeter as a function of x. Explain why x cannot equal 2.
Answer: It is 3.5
Step-by-step explanation:
I think this because 2/2x=3/2=1.5 but you have 2 left to add which=3.5
Which of the following is true?
1 meter is the same size as 1 kilometer.
1 meter is greater than 1 kilometer.
1 kilometer is less than 1 meter.
1 kilometer is greater than 1 meter.
Answer: 1 kilometer is greater than 1 meter
Step-by-step explanation: kilo means 1000, so one 1 kilometer would be equal to 1000 meters, which is way more than just 1 meter.
Sorry if not specific!
What is this expression in simplified form?
Any help?
Answer Im thinking 7 but i don't know for sure
Step-by-step explanation:
PLS HELP
This is the one thing I need to do for my assignment and I don't know it
Answer:
Step-by-step explanation:
the square root of 74 is 8.60
Even if you round it should be 8.7 but 8.5 is only one digit down from 8.60 if that makes sense so 8.6 is only one digit from 8.5 with is a comparable value
Find the equation of the line that passes through (1,3) and is perpendicular to y = 2x + 3.
Leave your answer in the form ax + by = c Where a, b and c are integers.
The equation of the line that passes through (1,3) and which is perpendicular to y = 2x ₊ 3 is x ₊ 2y = 7.
Given the equation of the which passes through the point is (1,3)
the line is perpendicular to y = 2x ₊ 3
first we need to determine the slope of the equation.
line is perpendicular to y = 2x ₊ 3
perpendicular means slope (m) = ₋1
but given the in the line equation we have
y = mx ₊ c
m = 2
therefore ₋1 = 2
hence slope m = ₋1/2
Then the line passing through (1,3), substitute the coordinates of the point in the equation of the line:
y ₋ y₁ = m(x ₋ x₁)
take (1,3) as (x₁,y₁)
y ₋ 3 = ₋1/2 (x ₋ 1)
y ₋ 3 = ₋1x/2 ₊ 1/2
y ₋ 3 = ₋x ₊ 1/2
2y ₋ 6 = ₋x ₊ 1
2y ₊ x ₋ 6 ₋ 1 = 0
2y ₊ x ₋ 7 = 0
2y ₊ x = 7
x ₊ 2y = 7
which is in the form ax ₊ by = c
Hence we derived the equation of the line as x ₊ 2y = 7 which is in the form of ax ₊ by = c.
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One more than the product of 14 and Mabel's age
Use the variable m to represent Mabel's age.
Answer: 14m + 1
Step-by-step explanation:
We will write an expression for this question.
One more➜ + 1
than the product of ➜ multiplication, *
Mabel's age ➜ m
One more than the product of 14 and Mabel's age
14 * m + 1, 14m + 1
What is the slope of a line that passes through points (0,7) and (-3,0)
[tex]m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{0 - 7}{ - 3 - 0} \\ m = \frac{ - 7}{ - 3} \\ m = \frac{7}{3} [/tex]
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Find the distance between X ( − 3 , 5 ) and Y ( 4 , 2 ) . Round to the nearest tenth, if necessary.
Answer:
7.6
Step-by-step explanation:
[tex]\sqrt{(-3-4)^2 + (5-2)^2} \approx 7.6[/tex]
Solve the simultaneous
equations
2x+y = 3
x+y=1
Answer:
x = 2, y = -1
Step-by-step explanation:
Now change the equation,
→ x + y = 1
→ y = 1 - x
Then the value of x will be,
→ 2x + y = 3
→ 2x + 1 - x = 3
→ x = 3 - 1
→ [ x = 2 ]
Therefore, the value of x is 2.
Now value of y will be,
→ y = 1 - x
→ y = 1 - 2
→ [ y = -1 ]
Hence, the value of y is -1.
Answer:
(2, -1)
-------
x = 2
y = -1
Step-by-step explanation:
1st equation:
2x + y = 3rewrite
y = 3 - 2x2nd equation:
x + y = 1rewrite
y = 1 - xSolve simultaneously:
y = y3 - 2x = 1 - x-2x + x = 1 - 3-x = -2x = 2When x = 2, y = 1 - x
y = 1 - 2
y = -1
A popular car has an engine that is reported to have a
volume of 4320-
cm³
What is the size in
4320
cubic inches ?
The size of the car engine in cubic inches is 263.6 2 cubic inches
How to determine the size of the car engine in cubic inches?The given parameters are
Volume = 4320 cubic centimeters
By general conversion rule, we have
1 cubic centimeter = 0.0610237 cubic inches
Multiply both sides of 1 cubic centimeter = 0.0610237 cubic inches by 4320
4320 * 1 cubic centimeter = 0.0610237 cubic inches * 4320
Evaluate the product
4320 cubic centimeters = 263.6 2cubic inches
Substitute 4320 cubic centimeters = 263.6 2cubic inches in Volume = 4320 cubic centimeters
Volume = 263.6 2cubic inches
Hence, the size of the car engine in cubic inches is 263.6 2cubic inches
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Evaluate the expression (2+5)4
Since the 2 + 5 is in parenthesis, we do that first.
7(4) =
7 * 4 = 28
Hey there!
Assuming:
(2 + 5)(4) or (2 + 5)^4
Simplifying:
(2 + 5)(4)
= 7(4)
= 28
Simplifying:
(2 + 5)^4
= (7)^4
= 7^4
= 7 * 7 * 7 * 7
= 49 * 49
= 2,401
We’re going to assuming equation #1 in our assumption as your question.
That being said, your answer is most likely: 28
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
2(b + 5) = 3(b - 2) + 23
Answer:
b = -7
Step-by-step explanation:
2(b + 5) = 3(b - 2) + 23
2b + 10 = 3b - 6 + 23
10 + 6 -23 = 3b - 2b
-7 = b
Answer:
b = -7
Step-by-step explanation:
[tex]2(b+5) = 3(b-2) + 23[/tex]
for the left side of the equation: [tex]2*b + 2*5 = 2b + 10[/tex]
for the right side of the equation: [tex]3*b + 3*-2 = 3b - 6 + 23 = 3b + 17[/tex]
[tex]2b + 10 = 3b + 17[/tex]
to isolate b, subtract 2b from both sides
[tex]10 = b + 17[/tex]
subtract 17 from both sides
[tex]-7 = b\\b = -7[/tex]
Find the value of x please.
Answer: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Answer:
85 degrees
Step-by-step explanation:
a line equals 180 degrees.
so 180-140= 40 degrees one of the missing angles in the triangle.
180 degrees is the full amount of degrees the angles of a triangle can equal.
So we have to add up the angles we know...
55+40=95 degrees
and subtract them from 180...
180-95=85 degrees
x=85
can you please help me with this?
thanks!
The answer is 18 : -2/3 : 15
Step-by-step explanation:
10 + 8 : (-1/3) - 1/3 : 8 + 7
18 : -2/3 : 15