Answer:
x=-2.4
y=-3.5
Step-by-step explanation:
Which statement describes a series of transformations that would show that Figure A is congruent to Figure B?
A. Figure A is reflected over line m and translated 4 spaces to the right.
B. Figure A is reflected over line m and translated 7 spaces to the right.
C. Figure A is reflected over line k and translated 8 spaces down.
O D. Figure A is translated 4 units down and 4 units to the right.
E. Figure A is translated 8 units down and 7 units to the right.
Answer:b
Step-by-step explanation:
Select the correct answer.
Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.
Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Which statement is true for the data sets?
A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.
Answer:
B. The mean study time of students in Class B is less than students in Class AStep-by-step explanation:
Class A:
{2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Number = 20Sum = 96Mean = 96/20 = 4.8Range = 8 - 2 = 6Class B:
{3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}
Number = 20Sum = 80Mean = 80/20 = 4Range = 7 - 2 = 5Correct option is B
What is 4.4% of 625?
Answer:
27.5
Step-by-step explanation:
Answer:
Answer: 27.5 and your welcome!!
A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?
Answer:
The length of the first piece is 0.51 m
The length of the second piece is 0.31 m
The length of the third piece is 0.28 m
Step-by-step explanation:
The question is a simultaneous equation with word problem
The total length of the wood = 0.9 m
The number of pieces the wood is cut into = 3
The length of the first piece = 0.2 m + The length of the second piece
The length of the third piece = The length of the second piece - 0.23 m
Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;
x = 0.2 + y...(1)
z = y - 0.23...(2)
x + y + z = 0.9...(3)
Therefore, by substitution, we have;
0.2 + y + y + y - 0.23 = 0.9
3·y - 0.03 = 0.9
3·y = 0.9 + 0.03 = 0.93
y = 0.93/3 = 0.31
y = 0.31
The length of the second piece = y = 0.31 m
From equation (1), we have;
x = 0.2 + y = 0.2 + 0.31 = 0.51
x = 0.51
The length of the first piece = x = 0.51 m
From equation (2), we have;
z = y - 0.23
z = 0.51 - 0.23 = 0.28
z = 0.28
The length of the third piece = z = 0.28 m.
A number, rounded to 2 decimal places, is equal to 3.84.
Write down the lower and upper bounds of the number.
Answer:
Lower bound = 3.835
Upper bound = 3.844
Step-by-step explanation:
Given,
A number rounded to 2 decimal place = 3.84
In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.
Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.
Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.
Lower bound = 3.835
The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5
Upper bound = 3.844
A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.
Answer:
The difference between their volumes is [tex]237.375ft^3[/tex]
Step-by-step explanation:
The attachment completes the question.
For cube 1:
[tex]s_1 = 8ft[/tex]
For cube 2:
[tex]s_2 = 6.5ft[/tex]
Required
The difference in their volumes
First, we calculate the volume of box 1
[tex]V_1 = s_1^3[/tex]
Substitute 8 for s1
[tex]V_1 = 8^3[/tex]
[tex]V_1 = 512ft^3[/tex]
Next, we calculate the volume of box 2
[tex]V_2 = s_2^3[/tex]
Substitute 6.5 for s2
[tex]V_2 = 6.5^3[/tex]
[tex]V_2 = 274.625ft^3[/tex]
The difference is then calculated as:
[tex]Difference = |V_1- V_2|[/tex]
[tex]Difference = |274.625- 512|[/tex]
[tex]Difference = |-237.375|[/tex]
[tex]Difference = 237.375[/tex]
Hence, the difference between their volumes is [tex]237.375ft^3[/tex]
help please ! so i can finish this assignment
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
Work out angle BXC.
Give a reason for each angle you work out.
Answer:
∠ BXC = 70°
Step-by-step explanation:
∠ XBC and ∠ AXY are corresponding angles and are congruent, then
∠ XBC = 55°
Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.
∠ BXC = 180° - (55 + 55)° ← angle sum of triangle
∠ BXC = 180° - 110° = 70°
The measure of angle BXC is 70°
What s transversal?"It is a line that passes through two lines in the same plane at two different points."
What are parallel lines?"These are the lines in the same plane that are at equal distance from each other and never meet."
What are isosceles triangle?"It is a triangle having any two sides equal in length."
For given example,
We can observe that XY and BD are parallel lines and AB is the transversal.
Here,
∠AXY = ∠XBC ..............(Corresponding angles)
⇒ ∠XBC = 55°
In figure, for ΔXBC the sides XB and XC are equal.
So, ΔXBC is an isosceles triangle.
We know, for isosceles triangle, angles opposite to equal sides are equal in measure.
⇒ ∠XBC = ∠XCB
⇒ ∠XCB = 55°
We know, the sum of all angles of the triangle is 180°.
⇒ ∠XBC + ∠XCB + ∠BXC = 180°
⇒ 55° + 55° + ∠BXC = 180°
⇒ 110° + ∠BXC = 180°
⇒ ∠BXC = 70°
Therefore, the measure of angle BXC is 70°
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if g(x) = -3x +1 fill out the following table of values
Answer:
-3 (-6)+1
18 +1
19
-3 (-2) +1
6 +1
7
-3(0)+1
0+1
1
-3(2) +1
-6 +1
-5
-3(6) +1
-18 +1
-17
Step-by-step explanation:
you plug in the numbers for x into the equation and solve, and that's the value that goes into the box below the number you just plugged in
Question 1
Simplify
5y - 2y + y + y
Answer:
5y
Step-by-step explanation:
Jason is installing new carpet in a room. The dimensions of the room are shown in the diagram. what is the area of the floor?
-3(x-4) = -9(x - 1)
X=?
Answer:
x = - 1/2
Step-by-step explanation:
-3(x-4) = -9(x - 1)
1. Distributive Property
-3 * x -3 *-4 = -9 * x -9 * -1
-3x + 12 = -9x + 9
Hint: 2 negatives make a postive
-3x + 12 = -9x + 9
2. Subtract 12 on both sides
-3x + 12 - 12 = -9x + 9 - 12
-3x = -9x + -3
3. Add 9x on both sides
-3x + 9x = -9x + 9x + -3
6x = -3
4. Divide both sides by 6 to isolate the variable
6x/6 = -3/6
x = - 1/2
Check:
-3(-1/2-4) = -9( -1/2- 1)
3/2 + 12 = 9/2 + 9
3/2 + 12 ( we need a common denominator so...lets make it 2 )
3/2 + 12*2/1*2
3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5
Now...
9/2 + 9 ( we need a common denominator so..lets make it 2 )
9/2 + 9*2/1*2
9/2 + 18/2 = 27/2 = 13 1/2 = 13.5
13.5 = 13.5 CORRECT!
27/2 = improper fraction
13 1/2 = mixed number
13.5= decimal form
Hope this helped
Equivalate a +4 when a=7
Answer:
11
Step-by-step explanation:
Plug in the variable into the equation. 7+4=11
Answer:
11
Step-by-step explanation:
a is 7 so 7 + 4 = 11
this should be the answer if not i dont know. sorry
The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.
Answer:
The smallest angle in the triangle is 30°
Step-by-step explanation:
You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:
[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]
The smallest angle then is x + 37, or 37 - 7, giving us 30°
If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
The three angles of a triangle measure x+37, 90, and x+67.
We need to find the measurement of smaller angle.
From angle sum property we know that the sum of three angles is equal to 180 degrees.
x+37+90+x+67=180
2x+194=180
Subtract 194 from both sides
2x=180-194
2x=-14
Divide both sides by 2.
x=-7
Substitute the value of x in smallest angle
x+37
-7+37=30
Hence the measurement of the smallest angle in degrees is 30
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Leticia can run 2 miles in 11 minutes. How long would it take her to run 8
miles at the same pace?
1:22 min
2:44 min
3:5.5 min
4:30 min
Answer:
44 minutes
Step-by-step explanation:
8/2 is 4, multiply 11 by 4, 44 is your answer
Answer:
44 Minutes
Step-by-step explanation:
if you multiply the amount of time, 11 minutes, by 4, because 8 / 2 is 4, you'll get 44 minutes
Under her cell phone plan, Hannah pays a flat cost of $65.50 per month and $4 per
gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would
have to pay for 3 whole gigabytes.) She wants to keep her bill under $70 per month.
What is the maximum whole number of gigabytes of data she can use while staying
within her budget?
Answer:
1 gigabyte
Step-by-step explanation:
70-65.50=4.5
The maximum whole number of gigabytes of data she can use while staying within her budget 2 gigabytes.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now given that,
Flat cost per month = $65.50
Cost per gigabyte = $4
Let x be the total gigabytes she uses in a month.
Thus, Cost of gigabytes of month = 4x
So, total bill of the month = 65.50 + 4x
Now since, Hannah wants to keep her bill under $70 per month
⇒ 65.50 + 4x ≤ 70
Subtracting 65.50 both the side we get,
4x ≤ 70 - 65.50
⇒ 4x ≤ 4.50
Dividing 4 both the side we get,
⇒ x ≤ 1.125
Since she has to pay for the whole gigabytes
⇒ x ≤ 2
which is the required gigabytes she can use to keep her bill $70.
Thus, the maximum whole number of gigabytes of data she can use while staying within her budget is 2 gigabytes.
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Which isa zero of the quadratic function f(x) = 4x + 24x + 11?
Ox=9.25
Ox=-5.5
Ox=0.5
Ox=3.25
Answer:
b
Step-by-step explanation:
just took the test edg 22
Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given quadratic function is f(x) = 4x²+24x+11
We have to find the zero of the function.
Let us use the quadratic formula to find the zero.
a=4, b=24 and c=11
Let us plug in these values in quadratic formula
x=- 24±√24²-4(4)(11)/8
=-24±√576-176/8
=-24±√400/8
=-24±20/8
=4(-6±5)/8
=(-6+5)/2 or -6-5/2
=-1/2 or -11/2
=-0.5 or -5.5
Hence, Option B is correct, -5.5 is the zero of the quadratic function f(x) = 4x + 24x + 11
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Write a equivalent expression for (4n + 14) + (5 + 8n)
Answer:
= 12n + 19
Step-by-step explanation:
I need helpppp, I need to turn this in before class is over
Answer:
.
Step-by-step explanation:
Answer:
she spends 50% of her budget on her car
Step-by-step explanation:
300 is half of 600. I hope this helps :)
Simplify the expression so there is only one positive power for each base.
i hope you understand
How many lines of symmetry does this figure have?
A. 1
B. 2
C. 4
D. 8
E. 14
HELP I NEED HELP ASAP ILL GIVE U BRAINILEST!
(a).
36 players = 100%
? = 10%
(36×10) / 100%
= 3.6 gloves for left hand players.
Explanation :- Object needs to be in full form whereas 3.6 would be written as only 3 gloves in full.
Ans: Yes. Total gloves were enough.
(b).
36player gloves = 100%
7 lefties = ?
=700/36 = 19.4%
=19.4444444 as recurring would be,
19 % (nearest to whole percent) DONE ✅.
HURRY I NEED HELP
Does the graph shown below represent Y as a linear function of x
Yes or No
Answer:
no
Step-by-step explanation:
linear functions have straight lines
so this is not a linear function
John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
a) Rotation, then reflection
b) Translation, then rotation
c) Rotation, then translation
d) Translation, then reflection
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
Can someone help me? please
Answer:
0.7>0.54
Step-by-step explanation:
Find the lcm of 5m^7+ 35m^6+50m^5 And -20m^5-80m^4+100^3
Answer:
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
Step-by-step explanation:
Least Common Multiple
We are given the polynomials
[tex]5m^7+ 35m^6+50m^5[/tex]
[tex]-20m^5-80m^4+100m^3[/tex]
Find the common factors of each polynomial, first the coefficients:
5 = 5
35 = 5*7
50 = 5*5*2
The common factor with the least exponent; 5
Now for the variables:
[tex]m^7, m^6, m^5[/tex]
The common factor with the least exponent; m^5
LCM of [tex]5m^7+ 35m^6+50m^5: 5m^5[/tex]
Similarly:
20 = 2*2*5
80=2*2*2*2*5
100 = 2*2*5*5
Common factor of the coefficients: 2*2*5=20
Common factor of variables: [tex]m^3[/tex]
LCM of [tex]-20m^5-80m^4+100m^3 = 20m^3[/tex]
LCM of both polynomials=[tex]\mathbf{5m^3}[/tex]
what is the value of y in the solution to the system of equations 5x-y=25 and x+4y=-10
Answer:
y=-3.571
Step-by-step explanation:
To get rid of the x's make the other x cancel out the other.
5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571
Answer:
x+4y =10
5x-y =25
Step-by-step explanation:
x=10-4y
5(10-4y)-y =25
50-20y-y =25
50-21y = 25
-21y = 25-50
-21y =-25
y =25/21
Substitute y =25/21 in equation 1
x + 4(25/21) = 10
x +100/84 =10
x=10-100/84
which statement best describes this graph?
Answer:
the second one
Step-by-step explanation:
