Answer:
The minute hand of a clock is 8 inches long and moves from 12 to 2 o'clock. How far does the tip of the minute hand move? Express your answer in terms of pie and then round to two decimal places.
Step-by-step explanation:
Area covered by minute hand between 9:05 to 9:25 is equals to
\(\frac{4}{3} \pi\) square inches.
What is area of the sector?
" Area of the sector is defined as the space occupied by two radii and the arc included in it."
Formula used
Area of the sector = \((\pi r^{2}) \frac{\theta}{360}\)
According to the question,
Area covered by minute hand between 9:05 to 9:25 forms a sector.
Total minutes = 20 minutes
60minutes = 360°
20minutes = \(\frac{360}{60} (20)\)
= 120°
Therefore,
Central angle = 120°
radius of the circle = 2inches
Substitute the value in the formula we get,
Area of the sector formed by minute hand = \(\pi (2)^{2} (\frac{120}{360} )\)
= \(\frac{4}{3} \pi\)square inches
Hence, area covered by minute hand between 9:05 to 9:25 is equals to
\(\frac{4}{3} \pi\) square inches.
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I'm confused
What is the answer
DERIVATIVE HOMEWORK. ANSWER THE FOLLOWING QUESTION
By the product rule,
\(\dfrac{dy}{dx} = \dfrac{x-1}{x+1} \dfrac{d(7x^7-x^2)}{dx} + \dfrac{7x^7-x^2}{x+1} \dfrac{d(x-1)}{x+1} + (7x^7-x^2)(x-1) \dfrac{d\left(\frac1{x+1}\right)}{dx}\)
By the power and chain rules,
\(\dfrac{dy}{dx} = \dfrac{(x-1)(49x^6-2x)}{x+1} + \dfrac{7x^7-x^2}{x+1} - \dfrac{(7x^7-x^2)(x-1)}{(x+1)^2}\)
When \(x=1\), the first and last term vanish, and we're left with
\(\dfrac{dy}{dx}\bigg|_{x=1} = \dfrac{7 - 1}{1 + 1} = \dfrac62 = \boxed{3}\)
NEED HELP RN
Two friends are planning a 116-mile canoe trip that will last 4 days.They want to travel the same number of miles each day. How many miles will they travel.
Choose the equation that can be used to solve this problem mark all that apply.
116 divide 4=m
116=4 divide m
116 x 4 =m
4x m =116
Answer:
116 divide 4=m
4x m =116
Step-by-step explanation:
factor the following x^2+4x+2
Answer:
Find out the factors of 3x² + 4x - 4.
To prove
As given in the question
= 3x² + 4x - 4
simplify the above
= 3x² + 6x - 2x - 4
= 3x(x +2) -2(x + 2)
= (3x - 2) ( x - 2)
The factors of the 3x² + 4x - 4 are (3x - 2) ( x - 2) .
and from the option given in the question (3x -2 ) is the factor of the 3x² + 4x - 4.
Step-by-step explanation:
have a great day
Solve 7x-5=5x-4
Show Clear algebraic working
Drag the similar figure into the table.
Answer:
The purple on cause they equal a 90 degree angle
Step-by-step explanation:
The similar triangle is given in the attached image below.
What are similar triangles?Those triangles that looks the same but different in sizes.
And in the similar triangle,
the corresponding sides in proportion to each other and corresponding angles are equal to each other.
Given:
The triangle have sides 3, 4 and 5.
And the angle measure,
37° and 53°.
To find the similar triangle:
The corresponding sides should be in proportion to each other.
And the corresponding angles should be congruent.
The similar triangle is given in the attached image.
Therefore, the similar figure is given in the attached image.
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Jack's train arrived at the station at 8:30 in the evening. The train ride was 2 hours and 10 minutes. What time did Jack's family leave?
(I will virtually hug whoever answers this-)
Answer: 6:20 pm
Step-by-step explanation: They got there at 8:30 PM, and 2 hours and 10 minutes would have been 6:20 PM
Answer:
They arrived at 6:20
Step-by-step explanation:8 - 2 = 6 30 - 10 = 20
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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21
9
0
?
15
HURRY
I HAVE 19 more minutes
PLS HELP ME WITH THIS Find the ratio of squares to total shapes in the diagram below. 40 POINTS!
it literally says just count them all lol just like this we see there are 9 squares correct? and there are 12 circles so the ratio is 9:12 put 9 in the first box and 12 in the next just ask me if you need more help
The 30.6 g sample of pyrite took up
6.1 cm3 of volume.
What is the density of the pyrite
piece?
[?] g/cm³
Answer:
5.0 gm/cm³
Step-by-step explanation:
Density is defined as mass per unit volume or mass/volume
So simply divide he mass 30.6 by the volume 6.1 and you get
30.6/6.1 = 5.016 = 5.0 gm/cm³ rounded to the tenths place
Find all solutions to the equation x3 + 16x – 3x2 = 48.
–4, –3, 4
–4, 3, 4
3, –4i, 4i
–3, –4i, 4i
The solutions of the quadratic equation x³+ 16x -3x² = 48 are 3, –4i, 4i
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation.
We are given the quadratic equation as;
x³+ 16x -3x² = 48
Subtract 48 from both sides;
x³+ 16x -3x² - 48= 48 -48
x³+ 16x -3x² - 48= 0
Factor left side of equation.
(x - 3)( x² + 16) = 0
Therefore, the roots are 3, –4i, 4i
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lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum home value that can be financed is approximately $35,365.85.
Let's represent the maximum home value that can be financed by H.
If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.
Therefore, we have:
H × 82% = $29,000
Multiplying both sides by (1/82%), we get:
H = $29,000 / 82%
= $35,365.85
Hence, the maximum home value that can be financed is approximately $35,365.85.
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what is 11/4 times 4/9
Answer: 11/9
Step-by-step explanation:
you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9
Answer:
11/4 times 4/9 is 11/9
Step-by-step explanation:
We have to find,
(11/4) times 4/9
\((11/4)(4/9) = (11*4/4*9)\)
We can cancel the 4s from the numeratorand denominator to get,
\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)
The answer is 11/9
GIVING BRAINLIEST FOR GOOD ANSWER QUESTION IS ON PHOTO.
Answer:
The third one
Step-by-step explanation:
If you pay attention you will see that the < sign is pointing the wrong way on 1 and 2, while on 4 its not lower is higher
1/7of21 what is answer
3
Step-by-step explanation:
1/7 of 21
=1/7 ×21
=1×3
= 3Please mark my answer the brainliest and rate me 5 star and follow me.please please please please please please
The coldest temperature
recorded in Buffalo was-39°F. This was 12°F
warmer than the coldest temperature recorded
in Chicago. Which equation can be used to find
the coldest temperature recorded in Chicago?
What is the coldest temperature recorded in
Chicago?
A. C-12-39; -51°
B. C+12=-39; -27°
C. C-12-39; -27°
D. C+12=-39; -51°
Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°
What is the temperature at its coldest in Chicago?When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.
The formula would therefore be:
C = -39 + 12
Making the Buffalo temperature the subject gives;
C - 12 = -39
The coldest temperature in Chicago is:
= -39 + 12
= -27°F
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A 4 pointed star is created with for isosceles triangle and a square as shown below if the height of each triangle is 3 inches in one side of the square is 2 inches what is the area in square inches of the star
Answer:
16 square inches
Step-by-step explanation:
Given
Triangle (4)
\(Height = 3\)
\(Base = 2\)
Square (1)
\(Length = 2\)
Required
The surface area of the star
This is calculated as the area of the square added to the area of the 4 triangles.
The area of the square is:
\(Area =Length^2\)
\(A_1= 2^2\)
\(A_1= 4\)
\(The\ area\ of\ 1\) of the triangles is:
\(Area = 0.5 * Base * Height\)
\(A_2 = 0.5* 3 * 2\)
\(A_2 = 3\)
For the 4 triangle, the area is 4 * A2
So, the total area is:
\(Total = A_1 + 4 * A_2\)
\(Total = 4 + 4 * 3\)
\(Total = 4 +12\)
\(Total = 16\)
Follow the instructions below..Write (20)4 without exponents.+(2a)* = 0Х5?Fill in the blanks.(zla)* = 120
Given the indices expression shown below;
\((2a)^4\)This can be simplified as:
\(\begin{gathered} (2a)^4=2^4a^4 \\ (2a)^4=2^2\times2^2\times a^4 \\ (2a)^4=4\times4\times a^4 \\ (2a)^4=16a^4 \end{gathered}\)This gives the resulting expression on expansion
Jim worked 45 hours this week. He earns time and a half for overtime. He is paid $12.59 per/hour, how much will he earn this week?
Answer: 566.55 US dollars
Step-by-step explanation: i think, please give 5 stars
Under her cell phone plan, Micaela pays a flat cost of $47.50 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
$55 per month. What is the maximum whole number of gigabytes of data she
can use while staying within her budget?
The maximum whole number of gigabytes is 1 gigabyte
How to determine the maximum whole gigabytesFrom the question, we have the following parameters that can be used in our computation:
Flat cost = $47.50
Rate = $4 per gigabyte
Using the above as a guide, we have the following:
f(x) = 47.50 + 4x
She wants to keep her bill under $55 per month
So, we have
47.50 + 4x < 55
Evaluate
4x < 7.5
Divide by 5
x < 1.875
So, we have
x = 1
Hence, the whole gigabyte is 1 gb
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Ahab spent the day at the mall. First, he bought three tires for $50 each. Later, he returned one tire. After that, he found a five dollar bill. Also,he bought two jackets for $40 each. Write the total change to Ahab's funds as an integer.
The total change to Ahab's funds is -$175, which means he spent more money than he received and is now $175 poorer
To solve this problem, we need to calculate the total amount of money Ahab spent and the total amount of money he received. We can then subtract the total amount spent from the total amount received to get the total change to Ahab's funds.
The total amount spent on tires is 3 x $50 = $150.
When he returned one tire, he received a refund of $50.
He found a five dollar bill, which adds $5 to his funds.
The total amount spent on jackets is 2 x $40 = $80.
Therefore, the total amount spent is $150 + $80 = $230, and the total amount received is $50 + $5 = $55.
To find the total change to Ahab's funds, we subtract the total amount spent from the total amount received:
$55 - $230 = -$175
Therefore, the total change to Ahab's funds is -$175, which means he spent more money than he received and is now $175 poorer.
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Help picture below problem 12
Answer:
124°
Step-by-step explanation:
Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.
Combine like terms 17y-15y
Answer:
2y
Step-by-step explanation:
Since 17y and 15y both have a y, you can combine it. You can subtract 17-15 to get 2, so the answer is 2y.
Use the image of the L-shaped composite figure formed by two rectangular prisms to answer the question.
4 cm
8 cm
2 cm
14 cm
20 cm
What is the volume for the figure in cubic centimeters?
Enter your answer as a number, like this: 42
Do not enter units.
Just to have fun, I have written a transcript scenario. Your answer is in the paragraph as if I was teaching it! Hope this improves the quality of the answer, if it hasn't just give your review! Have a nice day!
All right. So you want the surface area for this composite figure? So, the surface area, we're going to split into two different shapes. So, I'm gonna do this shape here. That's kind of up. And then I'll do this one. That's kind of flattered. Okay, so when we look at the base, because our surface area formula, let's start with. That is perimeter times high plus two times the area of the base. So, I need the perimeter of this. This is my base, right? I'm thinking about the one that's on the bottom that I can't see. So this is 20 and four. So when you do perimeter, I'm gonna say 20 plus 20 Plus four Plus 4. That's perimeter. The height is eight plus two. And then my area of the base is the two numbers I used in the first parentheses. So four times 20. Okay, so let's see. 20 plus 20 is 40, 40-plus 8 is 48. 48 times eight Is 3 84. Okay. Plus four times 20 is 80, maybe times two is 1 60. If I add all this together And your calculator or do it by hand, you get 5:44. So that is the surface area for the shape that I drew mostly over just now. Let me do it in red for the next one. So my base for this one, I'm actually gonna use 20 and 14 for my perimeter. So the same kind of steps, 20 plus 20 plus 14 plus 14. And then my height is too Plus two times the area of the base. So 20 times 14. So 40 plus 28. Because that's what 14 plus 14 is is 68 68 Times two for the height. So I get 1 36 plus And now 20 times 14 gives you 2 80 times two. It's 5 60 Plus 1 36. So I'm adding these together now And you get 6 96. Alright, We're almost done. Now. We have to take our first answer and add it To our second answer. So 6 96. So 6 96 plus 5 44. You can use your calculator, you get 1240. And if you wanted to use correct units it's centimeters squared. Alright. I hope this helps.
Image attatched is the actual problem.
Answer:
did u guys ever figure it out
Step-by-step explanation:
A glacier travels 10 kilometers in 20 years, what is its speed?
Answer:
1/2 a kilometer per year
Step-by-step explanation:
To find the speed you divide the distance traveled by the time it took to get to that distance
10/20=1/2
its traveling at 1/2 a kilometer per year
have a great day :D
You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 4.
Find the critical value that corresponds to a confidence level of 99.9%. Round to three decimal places.
The critical value is 9.925, rounded to three decimal places.
How to solveTo calculate the critical value for a 99.9% confidence level with a sample size of 4, we will use the t-distribution, since the population standard deviation is unknown.
The t-distribution is used when the sample size is small (usually n < 30) and the population standard deviation is unknown.
First, find the degrees of freedom (df) for the t-distribution, which is equal to the sample size (n) minus 1:
df = n - 1df = 4 - 1df = 3Next, we need to find the critical value (t) that corresponds to a 99.9% confidence level (or a 0.999 probability) and 3 degrees of freedom. We will look this up in a t-distribution table or use a t-distribution calculator.
Using a t-distribution calculator or table, the t-score corresponding to a 99.9% confidence level (two-tailed) and 3 degrees of freedom is approximately 9.925.
So, the critical value is 9.925, rounded to three decimal places.
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if the earthquake has stronger magnitude what does it mean
Answer:
Step-by-step explanation:
The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.
Write the equation for the inverse of
y = 6x +4?
Answer:
x/6 − 2/3
Step-by-step explanation:
Doritos $3.45 for 11.5 oz.
Cheetos $2.43 for 9 oz.
which is the better buy?