[tex]\stackrel{mixed}{6\frac{3}{7}}\implies \cfrac{6\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{45}{7}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\frac{45}{7}\textit{\% of 4570}}{\left( \cfrac{~~\frac{45}{7}~~}{100} \right)4570}\implies \left( \cfrac{45}{700} \right)4570~~ \approx~~293.79[/tex]
A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer to the nearest hundredth. The angular velocity is approximately radians per second.
well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.
[tex]\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}[/tex]
Answer: 31.42 radians per second
Step-by-step explanation:
got it right on edge
The basketball coach says that based on Noah's free throws this season, Noah has a
probability of making each free throw. Select all the ways Noah could accurately simulate the
number of free throws he will make in his next 6 attempts.
A Flip a coin 6 times. Count the number of heads.
B. Make a spinner with 6 equally-sized sections, labeled with the numbers 1 through 6.
Spin the spinner 6 times and count how many times the spinner lands on 3 or 4.
C. Put 3 red chips and 1 white chip in a bag. Draw a chip from the bag, record the result,
and put it back in the bag. Do this 6 times and count the number of red chips drawn.
D. Make a spinner with 4 equally-sized sections. Color three sections green and one
sections red. Spin the spinner 6 times and count the number of times the spinner lands on
green
E. Put the numbers 1 through 6 in a bag. Pick a number from the bag.
Need this by tomorrow!!!!!
Considering that the probability of Noah making each free throw is of 75%, the ways that Noah could accurately simulate the number of free throws he will make in his next 6 attempts are:
C. Put 3 red chips and 1 white chip in a bag. Draw a chip from the bag, record the result, and put it back in the bag. Do this 6 times and count the number of red chips drawn.
D. Make a spinner with 4 equally-sized sections. Color three sections green and one sections red. Spin the spinner 6 times and count the number of times the spinner lands on green.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, for each free throw, Noah has a 75% probability of making it. Hence, the equivalent ways are the ones in which the probability of a success on each trial is of 75%, considering 6 trials.
For item A, the probability is of 1/2.For item B, the probability is of 1/3.For item C, the probability is of 1/4.For item D, the probability is of 1/4.For item E, the probability is of 1/6, considering 1 trial.Hence, options C and D are correct.
You can learn more about probabilities at https://brainly.com/question/15536019
What is the rate of change between (-3.7, 1.4) and (-3.5,1)?
Answer:
-2
Step-by-step explanation:
the rate of change or slope (M) is -2
Hope this helps:P
HELP PLEASE RNNNNNN
Answer:
The three statements on the right hand side of the screen are the correct ones
Step-by-step explanation:
To take the average of the weight of the cat in the month of April is the following:
9.8 + 9.6 + 9.7 + 9.5 + 9.4 = 48
But then divide that by the number of samples:
48/5=9.6
The mean for April is 9.6
To take the average of the weight of the cat in the month of November is the following:
9.4 + 9.3 + 9.1 + 9.2 + 9 = 46
But then divide that by the number of samples:
46/5=9.2
Then, lastly, subtract the mean from November by the mean of April:
9.6-9.2=0.4
which equation has no real solutions
Answer:
the third one
Step-by-step explanation:
because if we calcul Δ
we get a negative number
Dylan was driving his brand new car. Stopped at a red light, Dylan was in a rush to get to school. Below is a table that represents seconds after the light turned green and Dylan's velocity. What is the average rate of change between 6 seconds and 10 seconds?
Answer:
hey.. do you have a picture of the table?
Step-by-step explanation:
in order for anyone to answer, we need to be able to see the table
The annual profit of a company is equal to the difference between annual revenue and total annual expenses of the company. The annual revenue of the company is defined by the function R(x) = 6x4 − 4x2 + 11 and the annual total expenses of the company is defined by the function C(x) = 4x4 − 2x3 − 6x2 + x.
What function defines the annual profit of the company
annual profit = R(x) - C(x)
= 27 - (-2+x)
= 31-x
what is the equation for cos, tan, and sin in math?
If sin(A - 30) = cos 60°, the number of degrees in the
measure of angle A is
Answer:1
Step-by-step explanation:
The number of degrees in the measure of angle A is
⇒ A = 60°
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ sin (A - 30) = cos 60°
Now,
We know that;
⇒ sin (90 - θ) = cos θ
Hence, We get;
⇒ cos 60° = sin (90 - 60)
Substitute above value in equation (i), we get;
⇒ sin (A - 30) = cos 60°
⇒ sin (A - 30) = sin (90 - 60)
⇒ (A - 30) = (90 - 60)
⇒ A - 30 = 30
⇒ A = 60°
Thus, The number of degrees in the measure of angle A is
⇒ A = 60°
Learn more about the angle visit:
https://brainly.com/question/25716982
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Carlos is buying water. He needs 4 liters. A half-liter of water costs 2.59. A 200-milliliter container of water costs $0.92. What should carlos buy so he gets 4 liters at the lowest price? Explain.
1 liter has 1000 ml
0.5 l = 2.59
500 ml = 2.59
_____
200 ml = 0.92
100 ml = 0.46
500 ml = 2.3
second deal is better by 29 cents
Total Surface Area = ?
2 in
5 in
6 in
P.S: Your question is incomplete. Please consider attaching a picture to your question.
Answer:
Surface area = 104 in.Step-by-step explanation:
We know that:
Side lengths of rectangular prism: 2 in, 5 in, and 6 in.Surface area = Area of all facesSolution:
Surface area = 2(6 x 2) + 2(5 x 2) + 2(6 x 5)=> Surface area = 2(12) + 2(10) + 2(30)=> Surface area = 24 + 20 + 60=> Surface area = 104 in.Hence, the surface area of the rectangular prism is 104 in.
It can be a cuboid
L=2B=5H=6TSA
2(LB+BH+LH)2(2×5+5×6+2×6)2(10+30+12)2(52)104in²a square has an area of 369.01m squared number.work out the perimeter of the square.
Answer:
76.84 m is the perimeter
Step-by-step explanation:
First take the square root of the area
√ 369.01 = 19.21
Formula for perimeter of square
P = 4a
a = 19.21
So
P = 4(19.21)
P = 76.84 m
Mariana and Vicky both solved 617 divided 6. Mariana got 12 remainder 5 as her answer. Vicky got 102 remainder 5 as her answer.
Who do you agree with?
Why?
Use math to support your answer.
Answer:
617 ÷ 6
Dividing in order from left to right:
6 into 6 goes once.
6 into 1 doesn't so carry the 1 to the next number
6 into 17 goes twice, remainder 5
So we have: 102 remainder 5.
Vicky is correct.
What are the 300 digits of pi?
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825
Step-by-step explanation:
that is all i can remember hope this helps
a fertilizer covers 2/3 square foot in 1/4 hour. the unit rate is ___ square feet per hour.
Step-by-step explanation:
[tex]\large{ \star \fcolorbox{magenta}{purple}{ \fcolorbox{magenta}{blue}{ \fcolorbox{magenta}{pink}{ \fcolorbox{magenta}{red}{ \sf{ añswër}}}}}} \star[/tex]
2/3×1/4
:- 1/6 square feet per hour
Enter the expression using exponents.13multiply13=
Answer:
[tex]169[/tex]
Step-by-step explanation:
[tex]13*13=13^2=169[/tex]
50 points for each answer.
Answer:
A=$3.973.42
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.12/100
r = 0.0212 rate per year,
Then solve the equation for A.
[tex]A = P(1 + r/n)^{nt}[/tex]
[tex]A = 3,500.00(1 + 0.0212/4)^{(4)}^{(6)}[/tex]
[tex]A = 3,500.00(1 + 0.0053)^{(24)}[/tex]
[tex]A = $3,973.42[/tex]
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $3,500.00 at a rate of 2.12% per year compounded 4 times per year over 6 years is $3,973.42.
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
consider the following function: f(x)=-3/4x+9
place the steps for finding f-1 (x) in the correct order
Answer:
[tex]f^{-1}(x) = ( \frac{4y - 36}{-3} )[/tex]
Step-by-step explanation:
f(x)=-3/4x+9
let f(x) be y .......................to find inverse we have making x the subject.
y = -3/4x+9
y - 9 = -3/4 x
-3x = 4y - 36
x = (4y - 36)/-3
so, [tex]f^{-1}(x) = ( \frac{4y - 36}{-3} )[/tex]
[tex]\\ \tt\hookrightarrow y=\dfrac{-3}{4}x+9[/tex]
[tex]\\ \tt\hookrightarrow y-9=\dfrac{-3x}{4}[/tex]
[tex]\\ \tt\hookrightarrow -3x=4y-36[/tex]
[tex]\\ \tt\hookrightarrow x=\dfrac{-4}{3}y+12[/tex]
Now
[tex]\\ \tt\hookrightarrow f^{-1}x=\dfrac{-4}{3}x+12[/tex]
What is the equation to z/3=12
Answer:
z = 36
Step-by-step explanation:
Isolate the variable, z. Note the equal sign, what you do to one side, you do to the other. Multiply 3 to both sides of the equation:
(z/3) * 3 = (12) * 3
z = 12 * 3
z = 36
z = 36 is your answer.
~
Answer:
z = 36
Step-by-step explanation:
In order to find z, solve with the opposite operation.
Since z and 3 are dividing to equal 12, multiply 12 and 3 to find z.
Multiply 12 and 3:
[tex]z=12(3)[/tex]
[tex]z=36[/tex]
HELP I WILL GIVE BRAINIEST
Answer:
4
Step-by-step explanation:
4 is wrong
8/6 is not same as 6/4
One batch of trail mix uses 2 cups of cereal, 1/4
cup
of raisins, and
2
3
cup of almonds.
Complete the table to show much of each ingredient
you would need to make 3 or 4 batches of trail mix.
Number of
Batches
Cereal
(cups)
Raisins
(cups)
Almonds
(cups)
To make 3 batches of trail mix you need 6 cups of cereal, 3/4 cup of raisins and 2 cups of almonds, while to make 4 batches you need 8 cups of cereal, 1 cup of raisins and 2 and 2/3 cups of almonds.
FractionsSince one batch of trail mix uses 2 cups of cereal, 1/4 cup of raisins, and 2/3 cup of almonds, to determine how much of each ingredient you would need to make 3 or 4 batches of trail mix, the following calculation must be performed:
3 batches =2 x 3 = 61/4 x 3 = 3/42/3 x 3 = 0.666 x 3 = 24 batches =2 x 4 = 81/4 x 4 = 12/3 x 4 = 2 2/3So to make 3 batches of trail mix you need 6 cups of cereal, 3/4 cup of raisins and 2 cups of almonds, while to make 4 batches you need 8 cups of cereal, 1 cup of raisins and 2 and 2/3 cups of almonds.
Learn more about fractions in https://brainly.com/question/1301963
4(x - 3) Expand the Expression
Answer:
4x-12
Step-by-step explanation:
original------------------------ 4(x-3)
Distribute--------------------- (4 x X) - (4 x 3)
After Distrinuting----------4x-12
Hope this helps :P
What is the probability of sampling 22 men from a random sample of 30.
Answer:
11/15
Step-by-step explanation:
22/30 which can be simplified to 11/15
Please help me this is urgent
Answer:
A) C (15:30) B) D (16km)
Step-by-step explanation:
A)
Look along x-axis which is time the dotted whish is of bethan
journey finished between 14:00 to 16:00
The ending point is 3 boxes forwad to 14:00 and each box represent 30 min
So time is 15:00
B)
Look at y-axis which is distance
Journey start from 0 to 8 then take time and again start from 8 to final point
When addedup it equal t0 16km
Mark brainliest if you understand
If the two lines below are perpendicular and the slope of the red line is 7,
what is the slope of the green line?
A. 7
Ο Ο
B. - 4
O c. 7
c.
o
D. 7
Answer:
C) 1/7
Step-by-step explanation:
Which ordered pair is the solution to the system of equations?
{y=3x−102x+3y=3
(4, −2)
(0, 1)
(3, −1)
(2, 4)
what is the slope of the line that passes through the points (1 3) and (3 7)
Answer:y=2x+1
Step-by-step explanation:
what point appears to be the solution to the system of the equations shown in the graph
Answer:
(-2, -5) appears to fit both equation
can someone help me with this
Answer:
A
Step-by-step explanation:
1/2r +1/2= -2/7r -29/7 Subtracting 1/2 from both sides
1/2r +1/2 - 1/2= -2/7r -29/7- 1/2
1/2r = -2/7r - 29(2)-7/14
1/2r = -2/7r -65/14
Juan earns $1,198 per week and claims 4 allowances.
Answer:
$4,792 total
Step-by-step explanation:
1198 times 4 = 4792
this represents the total he has earned after 4 allowances
