Answer:
A. The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
Step-by-step explanation:
Volume is defined as the product of the Length, Width, and Height,
V = L*W*H
The Length x Width is the Area of the Base
L*W = Area Base)
Therefore:
The (L*W) in the equation V = L*W*H can be replaced with [Area of the Base]
[Area of the Base]
[Area of the Base] = (5x)*(x+3) [(or 5x^2 + 15x)]
Volume = [Area of the Base]*H
Volume = [(5x)*(x+3)]*(2x-1)
The volume is the product of the area of the base, 5x(x + 3), and
the height, 2x - 1.
That looks a lot like the answer in A: "The volume is the product of the area of the base, 5x(x + 3), and the height, 2x - 1."
Can someone help me please
Answer:
b i just toke the test
jejsjsjsjsjsjsjsjs
Answer:
[tex] \boxed{\bf A)\: 3 \: units}[/tex]
Step-by-step explanation:
Given that, the area = 9π units²
Area of a circle = πr²
So...
[tex]\bf {\pi}r^{2} = 9\pi[/tex][tex]\bf {r}^{2} = 9[/tex][tex]\bf r = 3 \: units[/tex]---------------------------can someone help me with this ??
Order the following numbers from least to greatest.
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
Descending and ascending orderOrdering a sequence of number from least to greatest is known as the ascending order of magnitude
Given the following parameters
∛64, √19 and 4.222...
The cube root of 64 is 4
The square root of 19 is 4.36
While the repeating decimal 4.2. can be 4.2222...
Ordering from least to greatest is 4, 4.2222, 4.36
According to the given values, the numbers from least to greatest is ∛64, 4.222.. √19
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What are all of the possible classifications for a 3 × 3 system?.
Answer:
consistent and dependent
consistent and independent
Step-by-step explanation:
If a system of equations has no solutions, it is said to be inconsistent.
If a system of equations has at least one solution, it is said to be consistent.
If there is just one solution to a system of equations, it is said to be independent.
If a system of equations has an unlimited number of solutions, it is dependent.
A 3 x 3 system of equations is a three-variable system of equations. That is correct (x, y, z)
A three-by-three-equation system might be dependent, independent, or inconsistent.
A 3 x 3 system of equations can be written as follows:
consistent and self-sufficient (This indicates that there is just one answer.)
Dependable and consistent (It has infinite solutions)
If it is inconsistent, it can neither be dependent nor independent
What is the area of the trapezoid? If necessary, round your answer to the nearest tenth.
A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet.
35.8 feet squared
45.5 feet squared
46.8 feet squared
The area of the trapezoid is calculated as 45.5 feet squared.
What does Area of Trapezoid mean?
The entire area occupied by the sides of a trapezoid is its area. It's important to notice that if we know the lengths of all the sides, we can divide the trapezoid into smaller polygons, such as triangles and rectangles, calculate their areas, and then sum them all together to determine the area of the trapezoid.
The formula for Trapezoid Area:If the parallel sides of the trapezoid are known, along with their height, it is possible to determine their area. It is expressed as,
A=[tex]1/2[/tex](a+b) h
where, A= the area of the trapezoid
h= height
'a' & 'b' = parallel side bases
Solution:a=5.5 feet , b= 8.5 feet & h=6.5 feet
A=[tex]1/2[/tex](a+b)h
∴A=[tex]1/2[/tex](5.5+8.5)*6.5
⇒A=[tex]1/2[/tex](14)*6.5
⇒A=7*6.5
⇒A=45.5 feet squared
Therefore, the solution is (b) 45.5 feet squared.
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What are the solutions of the equation x4 - 5x2 - 14 = 0? Use factoring
to solve.
Answer:
x = ±√7, ±i√2
Step-by-step explanation:
[tex]x^4-5x^2-14=0\\(x^2-7)(x^2+2)=0\\[/tex]
[tex]x^2 - 7 = 0[/tex] or [tex]x^2 + 2 = 0\\[/tex]
x^2 - 7 = 0
x^2 = 7
x = ±√7
or x^2 + 2 = 0
x^2 = -2
x = ±i√2
What is the solution set for -1<-2f+1<9? Please show work and chose a b c and d
The solution set is 1 ≥ f ≥ -4, and the correct number line is the one in option A.
How to find the solution set?
Here we have the inequality:
-1 ≤ -2f + 1 ≤ 9
To solve this, we need to isolate the "f" on the middle.
First, we can subtract 1 in both sides to get:
-2 ≤ -2f ≤ 8
Now we need to divide both sides by -2, remember that this will change the direction of the symbols:
-2/-2 ≥ f ≥ 8/-2
1 ≥ f ≥ -4
So we need to have a line that starts at -4 and ends at 1, the correct option is number line A.
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Drag each tile to the correct box. Not all tiles will be used.
Place the steps for finding in the correct order.
Answer+Step-by-step explanation:
[tex]f^{-1}\left( x\right) =\frac{1}{7} x^{2}+3 \ ,\text{where}\ x\geq 0[/tex]
What are the solutions to the system of equations?
Graph the system of equations to solve.
(−4,2) and (2,−1)
(0,0) and (−4,2)
(0,0) and (0,−2)
(2.9,0) and (−2.9,0)
Graphically, we will see that the solutions of the system are (−4,2) and (2,−1)
How to solve the system of equations?To solve the system of equations graphically, we need to graph both of the equations and see in which points the graphs intercept.
The graph of the system can be seen below, there you can see that the intercepts are at:
(-4, 2) and (2, -1)
So these are the two solutions of the system of equations.
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Which are factors of x² - 4x - 5? Select two options.
(x - 5)
0 (x-4)
0 (x-2)
0 (x + 1)
0 (x + 5)
Answer:
(x-5) & (x+1)
Step-by-step explanation:
Answer:
(x - 5) and (x + 1)
Step-by-step explanation:
x² - 4x - 5
consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)
the factors are - 5 and + 1 , since
- 5 × + 1 = - 5 and - 5 + 1 = - 4 , then
x² - 4x - 5 = (x - 5)(x + 1)
ap:3, 2, 1....
what is its coomon difference
Answer:
-1
Step-by-step explanation:
3-1=2
2-1=1
What is the solution set for Ix+3| =5?
S-8 and s-8
s=-2 and s=2
s=-8 and s=2
s = 2 and s= 8
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of when x is 11?
Answer:
[tex]\frac{18}{5}[/tex] (11)
Step-by-step explanation:
If it varies directly, you need to find k, the constant of proportionality.
This is done by plugging the values in for x & y that are known.
y = kx
18 = k(5)
[tex]\frac{18}{5}[/tex] = k
Now solve for y when x is 11.
y = [tex]\frac{18}{5}[/tex] (11)
y = 39.6
I am a nine digit number. my tens place is 2. ones place is 3 more than tens place . hundreds place is between 7 and 9. ten thousands place is 3 multiplied by tens place . lakhs place is successor of tens place. ten lakhs place is predecessor of hundreds place . crores place is between 8 and 10. ten crores place is 7 more than tens place. what number am i
Answer:
nmj
e
w
w
w
w
w
w
w
w
w
wej i2v82v2ivw8q
Step-by-step explanation:
h2iwv282vw8wvq
When f(a) = 227 + 32 - 3, evaluate f( - 1)
helpp
Step-by-step explanation:
[tex]f(x) = 2 {x}^{2} + 3x - 3[/tex]
[tex]f( - 1) = 2. {( - 1)}^{2} + 3.( - 1) - 3[/tex]
[tex]f( - 1) = 2 - 3 - 3[/tex]
[tex]f( - 1) = - 4[/tex]
According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 33% federal income tax
bracket?
Based on the table, a possible taxable income for a taxpayer that's filing with the Single filing status in the 33% federal income tax bracket is $300,000.
What is taxation?Taxation is the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.
In this scenario, we can infer and logically deduce that a possible taxable income for a taxpayer that is filing with the Single filing status in the 33% federal income tax bracket is $300,000.
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-m-2=2+
m
O 2
O 3
04
O 5
Which statement is true?
O When an altitude is drawn from the right angle in a right triangle it creates two similar triangles.
O When an altitude is drawn from an acute angle in a right triangle it creates three similar triangles.
O When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
O When an altitude is drawn from an acute angle in a right triangle it creates two similar triangles.
Answer:
C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.
Step-by-step explanation:
The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.
A shipment of tile cost $64,500. each tile costs 15 dollars. how many pieces of tile are in the shipment?
Answer:
4,300
Step-by-step explanation:
total cost of the shipment of tile cost =$64,500
each tile cost =$15
how many pieces will now be the total cost of shipment tile divided by the cost of each tile
which will be
64500/15
=4,300 tiles are there
i am glad I helped
I need help solving this
Answer: y = -x + 5
Step-by-step explanation:
A slope-intercept equation is in the form y = mx + b where m is the slope and b is the y-intercept. Since we are given the slope, we will plug it in with the point they gave us, and solve for b.
y = mx + b
(1) = (-1)(4) + b
1 = -4 + b
5 = b
Lastly, we will write our equation by substituting m with -1 and b with 5.
y = mx + b
y = -1x + 5 or y = -x + 5
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I also need help on 3 4 5 if some one can explain it will be really helpful
And I will give 65 points
The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let k represent the constant of proportionality
3) T = kN
28 = 250k
k = 0.112
i) T = 0.112N
ii) T = 0.112(300) = 33.6
iii) 98 = 0.0112N
N = 875
4) D = kA
270 = 5k
k = 54
i) D = 54A
ii) D = 54(4.5) = 243
iii) 324 = 54A
A = 6
5) T = kA
150 = 2.4k
k = 62.5
i) T = 62.5A
ii) T = 62.5(1.8) = 112.5
iii) 3(60) = 62.5A
A = 2.88
The equation that shows the relationship between the variables are T = 0.112N, D = 54A and T = 62.5A
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The volume of the cube is given as V= x³, where x is the side length of the cube. Find the domain of the volume of
the cube.
Answer: None of the choices
Step-by-step explanation:
1. It couldn't be integers (whole numbers positive or negative), because a cube couldn't have a negative volume.
2. It could be natural numbers, but the problem is, that a volume could have decimal values, for example, 3.62 meters cubed which a natural number doesn't support.
3. Set of whole numbers is the same as integers, so it can't be that.
4. None of the choices, which in my opinion is the correct one.
I'm not sure it is correct, but I hope I helped you!
What is the solution (a+b) to this system of linear equations
3a+6b=45
2a-2b=12
The value of the equation a + b is 12
How to determine the solution?The system of equations is given as:
3a + 6b = 45
2a - 2b = 12
Multiply the second equation by 1.5
3a - 3b = 18
Subtract this equation from the first equation to eliminate a
9b = 27
Divide by 9
b = 3
Substitute b = 3 in 2a - 2b = 12
2a - 2*3 = 12
Divide through by 2
a - 3 = 6
Add 3 to both sides
a = 9
So, we have:
a + b = 9 + 3
Evaluate
a + b = 12
Hence, the value of the equation a + b is 12
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Can anyone help me with this it would be great.
Answer:
11. The student put 24 as the diameter instead of the radius.
12. 48 pi
Step-by-step explanation:
The formula for the circumference of a circle is c = pi x diameter.
However, the question says that the radius is 24m, not the diameter.
To fix it, all you need to to is double the radius to get 48m for the diameter.
48 x pi = 48 pi
Answer:
The error is that he made the radius a diameter.The circumstances is 150.8571428 mStep-by-step explanation:
π = 22/7 or 3.14
Circumference= diameter × 22 / 7
= 2 × radius × 22 / 7
= 2 × 24 × 22/ 7
= 48 × 22 / 7
= 48 / 1 × 22 / 7
= 1056 / 7
= 150.8571428 m
If F(x) = 7x - 3 and g(x) = x2, what is (g ° f)(1)?
Answer:
16
Step-by-step explanation:
If f(x)=7x-3 and g(x)=x²,
(g•f)(1)= g(f(1))
bit : f(1) =7(1)-3 = 4
(g•f)(1)= g(f(1)) = g(4) = 1² = 16
I hope this was helpful :)
1. In a class of 24, 3 students were absent, What fraction of class is present
2. Karen taped a television show that lasted 1h 30mins. On the same tape she recorded another 2 shows that were 5/6h each. What time was still left on the 4h tape.
3. Steve ordered 12 lengths of timber, each 6m long. He cut 6 lengths into 1 1/2m pieces and the other 6 lengths into 3/4 pieces A. How many pieces together is this? B. Was there any waste?
Problem 1
Answer: 7/8 of the class is presentReason:
24 people total with 3 absent. So 24-3 = 21 are present
21/24 = (7*3)/(8*3) = 7/8
==========================================================
Problem 2
Answer: 50 minutes left on the tape.Work Shown:
1 hour = 60 min
(5/6)*(1 hour) = (5/6)*(60 min)
5/6 of an hour = 50 min
1 hr + 30 min = 60 min + 30 min = 90 min
The first show is 90 minutes. Add on two more shows that are 50 min each to get 90+50+50 = 190 minutes used up
4 hours = 4*60 = 240 min
240 - 190 = 50 min
There are 50 minutes left on the tape.
==========================================================
Problem 3
Answer: 72 pieces; not enough info to calculate the wasteExplanation:
1 1/2 = 1 + 1/2 = 1 + 0.5 = 1.5
6/(1.5) = 4
Each 6 meter board is cut into 4 equal pieces each 1.5 meters long
There are 6 boards this applies to which means so far that's 6*4 = 24 pieces
Now to the other 6 boards.
3/4 = 0.75
6/(0.75) = 8
Each of the other 6 boards are cut into 8 equal pieces of 0.75 meters each
That's another 6*8 = 48 pieces
In total there are 24+48 = 72 pieces
When cutting into wood, there always is a small sliver that is discarded. While small, these slivers do add up. So yes there is some waste. Unfortunately, we don't have enough info to calculate. We would need to know the width of the saw blade.
5.7x10^6 as an ordinary number
Answer:
5700000
Step-by-step explanation:
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
Regarding the proportional connection that Peter's equation simulates, claim C is accurate. Peter moves along at a 13/4 mph walking pace.
What is the equation?An equation is a mathematical statement that uses an equal sign to join two algebraic expressions having the same value.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A:Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Provided equation
Y=13/4x
where y is the distance traveled and x denotes the amount of time.
According to the equation, Peter moves along at a speed of 13/4 miles per hour.
As a result, the proportional connection represented by Peter's equation is valid as stated in assertion C.
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Given a function f : a → b and a subset y ⊆ b, is f (f −1 (y)) = y always true? prove or give a counterexample
If the subset y is the empty set, then the statement is false. That is the counterexample.
Is the statement true?
We know that for an invertible function, we always have that:
[tex]f(x) = y\\f^{-1}(y) = x[/tex]
Now, the range of f(x) is the set b. This means that the domain of the inverse is the set b. Such that:
f^{-1} is defined on b→a
Now we want to work on a subset y ⊆ b.
And here comes the problem.
The empty set {∅} is a subset of ay other set. So, if y is the empty set, there are no elements where we can evaluate the inverse function. From that counterexample, we conclude that the statement is false.
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On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negative 2). Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line? a rise of 6 and a run of 8 a rise of 8 and a run of 6 a rise of 6 and a run of 5 a rise of 5 and a run of 6
The rise and run that would give us a similar right triangle on the same given line is: B. a rise of 8 and a run of 6.
What is the Rise and Run of Points on the Same Line?The rise/run of any two points on the same line are have the same slope value.
Given the coordinates:
A(-5, -6)B(-5, -2)The rise of triangle ABC = change in y = 4 units
The run of triangle ABC = change in x = 3 units
Rise/run = 4/3
Therefore, a rise of 8 and a run of 6 would give us: 8/6 = 4/3.
This will give us a triangle similar to triangle ABC.
Therefore, the answer is: B. a rise of 8 and a run of 6.
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Give the fact that connects the look below there is image two angles labelled below.
Use this fact to find the value of c in degrees ().
C
74°
Not to scale
Assuming that both lines are parallel, we conclude that C = 74°.
How to find angle C?
Here we can see that both of the lines that go upwards are parallel lines. This means that C and the 74° angles are opposite angles.
Then if we say that x is the angle at the right of the 74°, we must have that:
x + 74° = 180°
x = 180° - 74° = 106°
And we also must have that:
x + C = 106° + C = 180°
Solving for C:
C = 180° - 106° = 74°
C = 74°.
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