Answer:
8.68 radians per second.
Step-by-step explanation:
The circumference of the wheel is 2 π r
= 38π meters.
So that is 164.95 / 38π of full turns of the wheel.
1 turn of the wheel = 2π radians , so the answer is
(164.95 / 38π) * 2π
= 164.95 / 19
= 8.68 radians per second.
Cori saved $15 every week for 6 months. Then she
spent 60% of the money for a new bike. How much
money did she have left?
Answer:
$144
Step-by-step explanation:
15*4=60
60*6=360
360*0.6=216
360-216=144
if one side of a square measures (3x - 8)ft., find the area of the square show work
Answer:
[tex]9x^{2}[/tex]-48x+64
Step-by-step explanation:
First, start off with what the area would look like with the equation plugged in.
[tex](3x-8)x^{2}[/tex]=area -----> (3x-8)(3x-8)
Second, multiply out the numbers in the ()s.
(3x-8)(3x-8) ---> (3x)(3x) = [tex]9x^{2}[/tex] --->(3x)(-8)=-24x----->(-8)(3x)=-24x------>(-8)(-8) = 64
Finally, you combine like terms and you have your answer.
[tex]9x^{2}[/tex]-24x-24x+64 -----> [tex]9x^{2}[/tex]-48x+64
Hoped this helped!
Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements?
Answer:
Kathy cannot compare the two measurementsStep-by-step explanation:
This problem seeks to tests our understanding of measurements and units
Kathy cannot compare the two measurements because the two units of measurement are not the same.
Now centimetres is 10 times bigger than millimetres.
What Kathy can actually do is to convert from one unit to another, that is from centimetres to millimetres.
Since the units are not similar Kathy cannot compare them but she can convert from one to the other
( 100 POINTS FOR EVERYTHING ) Need some help on this INTEGERS Worksheet. Not too difficult, but I don't have much time left. ( Use in this format v ) 1.) ?? 2.) ?? 3.) ?? etc..
Answer:
11) -11
12) -12
13) 7
14) -60
15) -56
16) -378
17) -126
18) -4
19) -3
20) -12
Answer:
see below
Step-by-step explanation:
1. 75
2. -14
3. 91
4. 67
5. 24
6. 112
7. 91
8. 44
9. 15
10. -11
11. -11
12. -12
13. 7
14. -60
15. -56
16. -378
17. -126
18. -4
19. -3
20. -12
What is the length of a side of the pentagon?
8/5x+4 + 16/5x = 6(4/5x+3) – 20
find x
Answer:
First of all, you are going to add
5
x
to each side. This will give you a new equation of
8
x
=
16
. The reason you add 5 is because you want to get rid of the -5x on the right. When you add 5 it changes to 0x. Anything times 0 equals 0. The next step is to divide both sides by 8. The reason you divide is to get x alone. When you divide 8x by 8, you get 1x. 1 times anything equals what the other thing is. For example, 1 times 4 is 4. This will give you your answer of
x
=
2
Two angles are supplementary. They are represented by (3x)° and (12x+1)°. Find both angles.
Answer:
35.8°
144.2°
Step-by-step explanation:
Definition of Supplementary Angles: They add up to 180°
Step 1: Set up equation
3x + 12x + 1 = 180
Step 2: Solve
15x + 1 = 180
15x = 179
x = 11.93
Step 3: Find angles
∠1 = 3x
m∠1 = 3(11.93) = 35.8°
∠2 = 12x + 1
m∠2 = 12(11.93) + 1 = 144.2°
Point Coordinate
A 0.31
B 0.33
C 0.38
D 0.29
Which number line shows the correct placement of the points in the table above?
A
B
C
D
Step 1:
First, let's order the number from least to greatest.
A. -0.31
B. -0.33
C. -0.38
D. -0.29
We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.
C. -0.38
B. -0.33
A. -0.31
D. -0.29
Step 2:
Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.
Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29
Our answer: Line A
Answer:
B: -0.3
Step-by-step explanation:
what’s equivalent to 9m?
please help asap!!!
m-9
9/m
9+m
(9)(m)
Answer:
(9)(m)
Step By Step Explanation:
9m is multiplying. So you need to find the one that deals with multiplication.
m-9 is subtraction
9/m is division
9+m is addition
(9)(m) is multiplication
Hope this helps :)
Jenna subscribes to a music service that allows her to pay a discounted price per song as long as she pays a membership fee. This is modeled by the expression .99x + 10. What does x represent?
Answer:
x is the song. she has to pay 99 cents per song.
A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
Answer:
3.6 in³
Step-by-step explanation:
If each cube is 1/5 inch:
15 cubes along the length = 15÷5 = 3 inches
5 cubes along the height = 5÷5 = 1 inch
6 cubes along the width = 6÷5 = 1.2 inches (1 and 1/5)
V=lwh=3*1*1.2= 3.6 in³
Three people are sitting on a bus. Bridget is directly behind Sophia and directly left of Alan. If Sophia and Bridget are 3 feet apart, and Alan and Sophia are 9 feet apart, what is the distance between Bridget and Alan? If necessary, round to the nearest tenth.
Answer:
The distance between Bridget and Alan is 9.48 ftStep-by-step explanation:
kindly find attached a rough sketch of their sitting position which forms a right triangle
We can proceed by using Pythagoras therm to solve for the distance between Bridget and Alan which is the hypotenuse
[tex]C^= A^2+B^2\\\\C= \sqrt{A^2+B^2}[/tex]
From the problem statement
A, which is the opposite is = 3 ft
B, which is the adjacent = 9 ft
C, is the hypotenuse= ?
Substituting into the expression we have
[tex]C= \sqrt{3^2+9^2} \\\\C= \sqrt{9+81}\\\\C= \sqrt{90}\\\\ C= 9.48 ft[/tex]
To the nearest tenth the distance is 9.48 ft
Answer:
2.6 meters
Step-by-step explanation: That the most unnecessary math ever, thank you to who ever decided to come up with the Pythagorean theorem.
The type of person to write the name on scratch paper...
:)
Find the midpoint of the segment with the given endpoints
(-8,-9) and (-3,-1)
Please help me
Answer:
Step-by-step explanation:
(-8 + (-3))/2= -11/2 = -5.5
(-9+(-1))/2= -10/2 = -5
(-5.5, -5): midpoint
When should you use the distributive property?
The distributive property is used when you have a value multiplied by 2 values separated by an operation.
For example, if you have x (y + z), then you would use the distributive property to get x (y + z) = xy + xz.
Select three ratios that are equivalent to 8:20 Choose 3 answers: (A. 1:4
(B. 4:10
(C. 24:60
(D. 2:5
(E. 10:24
Answer:
8:20
divide by 2
B. 4:10
multiply by 3
C. 24: 60
divide by 4
D. 2:5
Solve for R. P=R−C What is R equal to?
Answer:
R = P+C
Step-by-step explanation:
P = R-C
+C +C
R = P+C
The stem plot shows the number of swimming laps completed by swim team members at a single practice.
Row 1 has a 5 to the left of the bar and 7, 9 to the right. Row 2 has a 6 to the left of the bar and 1, 2, 3, 4 to the right. Row 3 has a 7 to the left of the bar and 6, 6 to the right. Row 4 has an 8 to the left of the bar and 2, 5, 9 to the right. Row 5 has a 9 to the left of the bar and no numbers to the right. Row 6 has a 10 to the left of the bar and no numbers to the right. Row 7 has an 11 to the left of the bar and no numbers to the right. Row 12 has a 12 to the left of the bar and a 5 to the right.
Key: 5|9 = 59 swimming laps
Which of the following is a correct statement about the distribution?
The question is incomplete. Here is the complete question.
The stem plot shows the number of swimming laps completed by the swim team members at a single practice.
5 7 9
6 1 2 3 4
7 6 6
8
9
10
11
12 5
What is a correct statement about distribution?
There no outliers
The distribution is symmetric
The center is around 80
The distribution is unimodal
The spread is from 57 to 89.
Answer: The distribution is unimodal.
Step-by-step explanation: Stem Plot is an unique way of writing numbers in a table. Each value is split into a "stem" (first digit or digits) and a "leaf" (usually the last digit).
For the swim team practice, we have:
57, 59, 61, 62, 63, 64, 76, 76, 125
Note that, although there the digits 8, 9, 10, and 11, there no "leaves" for them, so, the values are not part of the distribution.
Outlier is a value that lies outside most of other values. In the distribution there is the value 125 which is very much more than other values, i.e., it is an outlier, so, alternative "There no outliers" is false;
Ploting the values on a frequency graph, it shows a curve skewed to the right, i.e., deslocated to the right, then, it is not symmetric. Second alternative is false.
The center of the distribution is the middle value, which is 63, then, third statement is false.
The spread of this distribution is from 57 to 125, so fifth statement is incorrect.
An unimodal distribution is a distribution which has only one clear peak or most frequent value. At the swim team distribution, the value that appears more than once is 76, so the peak is at that value. The other values appears just once, so distribution has only one peak. Fourth statement is correct.
Tim took his friends to the movies. He stared with $40 and bought 3 movie tickets that each cost x dollars. He also bought one tub of popcorn that cost $5.75. Which of the following expression(s) represent the amount of money Tim has left? *
(A) 40-x-x-x-5.75
(B) 40-3-5.75 34.25-3x
(C) 40-3X-5.75 0
(D) -3x+34.25 31.253
Answer:
40 - x - x - x - 5.75 OR 40 - 3x - 5.75 OR 34.25 - 3x
Step-by-step explanation:
To find the amount of money Tim has left, we will simply write an expression that starts with the total he started with subtracting each expense.
$40
- $x
- $x
- $x
- $5.75
________________________
$40 - $x - $x - $x - $5.75
= $ (40 - 5.75) - 3(x)
= $ 34.25 - 3x
So you can choose one of three of these expressions:
(1) 40 - x - x - x - 5.75
(2) 40 - 3x - 5.75
(3) 34.25 - 3x
Cheers.
Urgent!!!!!In a class of students, the following data table summarizes the gender of the students
and whether they have an A in the class. What is the probability that a student is a
male given that they have an A?
Answer:
.85%
Step-by-step explanation:
You add up all the students who have an A whether they are male or female. 3 + 17 = 20. You have 17 males right? Divide 17 by 20 to get .85
You buy a 625.05 mL container of dish soap. You already have
142.71 mL at home.
How many mL do you have in total?
ml
Answer:
You have 767.76 mL of soap.
Answer: 767.76 ml of dish soap.
Step-by-step explanation: 625.05+142.71=767.76.
Justine and Meagan played a trivia game. Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score. Which is the correct way to represent that "the opposite of Justine's score was equal to Meagan's score
Answer:
The correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].
Step-by-step explanation:
We know that the opposite of the opposite of a number, say 2, is the number itself.
That is:
Opposite of 2 is -2.
Then the opposite of -2 is:
- (-2) = 2
It is provided that:
Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score.Assume that both Justine and Meagan started with 0 score.
Justine plays first.
If Justine answered a question incorrectly, his score would be -7.
Then Meagan plays, and answers the question correctly.
So, Meagan got the opposite score.
The opposite of -7 will be [- (-7)].
Thus, the correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].
If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?
Describe the steps, be very specific.
A
•B
Need help ASAP
Answer:
Step-by-step explanation:
To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.
1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.
2). Join the point of intersection of these arcs to A and B with the help of a straightedge.
3). Hence an equilateral triangle (with all equal sides) is constructed.
To solve 2x+9=21, what is the first step?
Answer:
The first step is to subtract 9 from each side
Step-by-step explanation:
2x+9=21
The first step is to subtract 9 from each side
2x+9-9 = 21-9
2x = 12
Then divide by 2 on each side
2x/2 = 12/2
x = 6
Answer:
That would be to collect like terms
Step-by-step explanation:
Further explanation
[tex]2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6[/tex]
i need help with #6
Answer: The whole equation is simplified down to -20.
Step-by-step explanation:
Here's how I got my answer:
Equation is 4p^2 + 7q^3
All you need to do is plug in the values they have given you. If you apply them, you get:
4 (-3)^2 + 7 (-2)^3
Which simplifies to:
4 (9) + 7 ( -8)
Simplify furthermore:
36 + (-56)
Which gives you:
-20
What is the equation of a vertical line passing through (-5, -2)?
O y = -2
O x = -5
O y = -3
O x = -7
Answer:
x=-5
Step-by-step explanation:
if point the line is passing through is -5, -2 and the line is vertical than x would have to stay the same no matter where the y is because it's vertical.
100 gives
PRT
The simple interest formula I
the interest I on a principal P invested at a
rate of R% per annum for T years.
a Find the interest when N150 000 is
invested at 5% per annum for 4 years.
b Find the principal that gains an interest of
N16100 in 5 years at 7% per annum.
Answer:
Step-by-step explanation:
a) P = N 150000
R = 5%
T = 5 years
Plug in the values P,R & T in the formula
I = PRT
[tex]I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\[/tex]
I = N 30000
b) I = N 16100
R = 7%
T = 5 years
[tex]PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}[/tex]
P= N 46000
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}[/tex]
Step-by-step explanation:
a. Given,
Principal ( P ) = N 150000
Rate ( R ) = 5 %
Time ( T ) = 4 years
Interest ( I ) = ?
Finding the Interest ( I )
[tex] \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}[/tex]
⇒[tex] \sf{interest = \frac{150000 \times 4 \times 5}{100} }[/tex]
⇒[tex] \sf{interest = \frac{3000000}{100}} [/tex]
⇒[tex] \sf{interest = N \: 30000}[/tex]
Interest = N 30000
------------------------------------------------------------
b. Given,
Interest ( I ) = N 16100
Time ( T ) = 5 years
Rate ( R ) = 7 %
Principal ( P ) = ?
Finding the principal
[tex] \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} [/tex]
⇒[tex] \sf{ \frac{16100 \times 100}{5 \times 7} }[/tex]
⇒[tex] \sf{ \frac{1610000}{35} }[/tex]
⇒N [tex] \sf{46000}[/tex]
Principal = N 46000
Hope I helped!
Best regards!!
In the set, (1,4), (3,5) and (-1, 2), what is the range?
{2, 4, 5)
0_{1, 4, 3, 5, -1, 2}
O {1,3)
{-1, 1, 3}
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \: , \: 4 \: , \: 5 \: }}}}}[/tex]
Step-by-step explanation:
Given,
{ 1 , 4 } , { 3 , 5 } , { - 1 , 2 }
To find : Range
Range are the set of all y - co-ordinates .
So,
Answer : { 2 , 4 , 5 }
Hope I helped!
Best regards!
what is the value of sin 12 - cos 78
Answer:
0
Step-by-step explanation:
[tex]\sin(12\º) - \cos(78\º)[/tex]
Consider the cofunction identity:
[tex]$\boxed{\sin(\theta)=\cos \left(\frac{\pi}{2} - \theta \right)} $[/tex]
[tex]$\boxed{\sin(\theta)=\cos \left(90\º - \theta \right)} $[/tex]
[tex]\sin(12\º)=\cos(90\º - 12\º)=\cos(78\º)[/tex]
[tex]\therefore \cos(78\º) - \cos(78\º) = 0[/tex]
The value of Sin 12-cos 78 is 0
What are trigonometric functions?In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.
Given here: sin 12 - cos 78 = Sin(90-12)-cos78 but we know sine of any angle = the cosine of any complementary angle
Thus we have Sin78-Cos78=0
Hence, The value of Sin 12-cos 78 is 0
Learn more about trigonometric functions here:
https://brainly.com/question/6904750
#SPJ2
Simplify:
1. 3(5 + 2) -8 + 2(3) =
Answer:
19 is correct answer
Step 1:
3(5 + 2) -8 + 2(3)
Step 2:
15+6-8+6
Step 3:
27-8
Step 4:
19
hope it helped you:)
Solve the equation for X.
4+2(x-4)=-7(x+7)
x=5.9
x=-5
x=5
x=-7.4
Answer:
x = -5
Step-by-step explanation:
4 + 2(x - 4)= -7(x + 7)
4 + 2x - 8 = -7x - 49
2x - 4 = -7x - 49
2x + 7x = -49 + 4
9x = -45
x = -45/9
x = -5