Answer:
4) 2/6 or 1/3
5) 42/110 or 21/55
Step-by-step explanation:
4) there are two red options out of a total of 6 options, so 2/6
5) 7 red out of total of 11, so 7/11 · 6/10 = 42/110
To get the fraction 6/10:
we reduce 7 to 6 because there is one less red than originally
we reduce 11 to 10 because there is one less from the initial total
Water flows into a tank according to the rate F(t) = t+6/1+t, and at the same time empties out at the rate E(t) = ln(t+2)/t+1, with both F(t) and E(t) measured in gallons per minute. How much water, to the nearest gallon, is in the tank at time t = 10 minutes. You must show your setup but can use your calculator for all evaluations.
Answer:
12.29minutes
Step-by-step explanation:
The net flow rate = flow in - flow out = F(t) - E(t) = t+6/1+t - ln(t+2)/t+1 = [(t + 6) - ln(t+2)]/(t+1)
So, the amount of water present in the tank at time, t is A = net flow rate × time = [(t + 6) - ln(t+2)]/(t+1) × t = t[(t + 6) - ln(t+2)]/(t+1)
At t = 10 minutes,
A = t[(t + 6) - ln(t+2)]/(t+1)
A = 10[(10 + 6) - ln(10+2)]/(10+1)
A = 10[16 - ln12]/11
A = 10[16 - 2.485]/11
A = 10[13.515]/11
A = 135.15/11
A = 12.29 minutes
Hi hope your having a good day please answer this
17. Name the word that matches the definition given: Figures that have the same shape but not necessarily the same size.
A. similar figures
B. scale factor
C. scale
D. congruent figures
Answer:
A
Step-by-step explanation:
Sometimes we have tension build up in our lives that requires a release of some kind. Some people cry; others punch; some find a creative outlet. What is your release
it's important to recognize that different individuals have unique ways of coping with and releasing tension.
Some people find solace in activities such as meditation, exercise, or engaging in hobbies and creative pursuits. Others may seek support from friends, family, or therapists to talk through their feelings and find healthy outlets.
It's crucial to find healthy and constructive ways to release tension rather than resorting to harmful or destructive behaviors. This could involve engaging in physical activities like running, yoga, or sports to channel and release pent-up energy. Creative outlets like writing, painting, or playing an instrument can provide a means of self-expression and emotional release.
Ultimately, finding a release that works for each individual depends on personal preferences, interests, and circumstances. It's essential to explore different options and identify healthy outlets that promote well-being and help manage stress and tension effectively.
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What is the solution to the proportion? Round the answer to the nearest tenth if necessary. StartFraction 52 over x EndFraction = StartFraction 9.5 over 3.25 EndFraction x = 14.6 x = 17.8 x = 157.8 x = 169.0
Answer: 17.8
Step-by-step explanation:
The solution to the proportion would be x = 17.8 which is the correct option (B).
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been the given proportion as:
⇒ 52 : x = 9.5 : 3.25
⇒ 52/x = 9.5/3.25
⇒ 52/x = 2.923
Cross multiplication, and we get
⇒ x = 52/2.923
Apply the division operation,
⇒ x = 17.8
Therefore, the solution to the proportion would be x = 17.8.
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Performance Task: Daredevil Danny
Performance Task
Active
i am very confused on what to do for the algebra dare ldevil danny performance task. someone please help!
As I cannot help you do your assignment since you didn't upload the questions, I can just give you the instructions.
I believe you are supposed to open the Student Guide that your cursor is hovering over (the boxed line in the picture) and then solve the problems (or do) the stuff inside. Then, you take a picture of your work/answers and upload that to the File Upload below.
Calculate the perimeter of the figure shown below.
5 ft
15 ft
10 ft
18 ft
Answer:
its c
Step-by-step explanation:
think about it for a second
the measure of the supplement of an angle is 39° more then the angle. find the measure of the angle and it’s supplement.
Step-by-step explanation:
s = a+39
s+a = 180
a+39+a = 180
2a = 180-39
2a = 141
the angle = 70.5°
the supplement = 109.5°
Hi guys! I have another question... Can you help? Will give 15 pts 2 screenshots below same problem. 1 of them is the problem and the other one is abt the rules.
Answer:
It is SSS
You already have the two sides, and you can see the two triangles share a common line. Therefore you know the unknown is a side.
What does the x epaul in this equation 1/4x=1/4
Answer:
1
Step-by-step explanation:
1/4x=1/4
x=(1/4)/(1/4)
x=(1/4)(4/1)
x=4/4
x=1
Answer: 1
Step-by-step explanation:
1
Simplify —
4
1 1
(— • x) - — = 0
4 4
you can answer any 16 questions from a total of 20 questions on an exam. in how many different ways can you select the questions?
There are 4845 different ways to select 16 questions out of a total of 20 questions on the exam.
To determine the number of different ways you can select 16 questions out of a total of 20 questions, we can use the concept of combinations.
In this case, we want to select 16 questions from a set of 20 questions, and the order in which we select them doesn't matter. This scenario can be represented by the combination formula.
The formula for combinations is given by:
C(n, k) = n! / (k!(n-k)!)
Where:
n is the total number of items in the set (20 questions)
k is the number of items to be selected (16 questions)
! denotes the factorial operation
Using the combination formula, we can calculate the number of different ways to select the questions:
C(20, 16) = 20! / (16!(20-16)!)
= 20! / (16!4!)
= (20 * 19 * 18 * 17) / (4 * 3 * 2 * 1)
= 4845
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Write 0.8
as a fraction.
thank youuu
Answer:
8/9
Step-by-step explanation:
The other answer is wrong because the problem is asking for the fraction form of 0.8 repeating, not just 0.8.
A caterer needs to buy 21 pounds of pasta to cater a wedding. At a store, 8 pounds of pasta cost $12. Hom much will the caterer pay for the pasta here?
All I know is how to find the unit rate but I can't figure that out.
Answer:
$31.50
Step-by-step explanation:
First you need to find out how much a single pound costs($12/8 lbs). That ends up equaling $1.50, so multiply that by 21 and you got the answer. :)
Can opposition day egsit
Answer:
is this really a smart question?
Step-by-step explanation:
what are you talking about?
5 of 8
Here is a list of numbers:
-3, 1, –12, 10, 1, 16, 19, 4, 16,
2
State the median.
Answer:
3
Step-by-step explanation:
The length of a rectangle is three more than double the width. if the perimeter is 78 inches, find the dimensions.
The length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
Given that, the length of a rectangle is three more than double the width and the perimeter of a rectangle = 78 inches.
We need to find the dimensions of the rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangle be x.
Then, length=2x+3
Now, perimeter=2(2x+3+x)
⇒ 78=2(3x+3)
⇒ 3x+3= 39
⇒ 3x=36
⇒ x=12 inches
So, width=12 inches and length=2x+3=27 inches
Therefore, the length of a rectangle is 27 inches and the width of a rectangle is 12 inches.
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A firm is evaluating a proposal which has an initial investment of $35,000 and has cash flows of $10,000 in year 1, $20,000 in year 2, and $10,000 in year 3. The payback period of the project is ________.
The payback period of the project is 2 years.
The payback period is a financial metric used to evaluate the time it takes for an investment to recoup its initial cost. It measures the length of time required for the cash inflows from the investment to equal or surpass the initial investment amount. In this case, the initial investment is $35,000, and the cash flows are $10,000 in year 1, $20,000 in year 2, and $10,000 in year 3. To calculate the payback period, we need to determine in which year the cumulative cash inflows will equal or exceed the initial investment.
By adding the cash flows year by year, we can see that at the end of year 1, the cumulative cash inflow is $10,000. By the end of year 2, the cumulative cash inflow becomes $30,000 ($10,000 from year 1 + $20,000 from year 2). Finally, at the end of year 3, the cumulative cash inflow reaches $40,000 ($10,000 from year 3).
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10. dice when a pair of dice is rolled, what is the probability tha tthe sum of the dice is 5, given that exactly one of the dice shows a 3?
The probability sum of the dice is 2/11.
Let A be the event that the sum of dots is 5, then
A={(1,4), (2,3), (3,2), (4,1)}
n(A)=4
And, B is the event that one die shows a "one"
B={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (3,1), (4,1), (5,1), (6,1)}
n(B)=11
The Event that some of the dots are five and one of the die shows "one".
A intersection B = {(1,4), (4,1)}
Since n(A) = 36 (thirty-six possible samples of two dice)
P(A)=4/36
P(B)=11/36
P(A intersection B)=2/36
So, the required probability is
P(A|B)=P(A intersection B)/P(B) =2/11
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PLEASE HELP ON MY LAST GEOMETRY PROBLEM!!
Answer:
area of circle having radius 3
is πr²=π*3²=9π square units
area of circle having radius 2
=πr²=π×2²=4π square units
again
area of big circle having radius [3+2]=5 units
=πr²=π×5²=25π square units
Now
area of shaded region=25π-4π-9π=12π or 37.7square units.
Answer:
12π units² or 37.7 units²
Step-by-step explanation:
Find the area of the 3 circles and subtract the areas of the two smallest ones.
Biggest circle area: π((3(2)+2(2))/2)² = π((6+4)/2)² = π(5²) = 25π units²
2nd Biggest circle area: π(3)² = 9π units²
Smallest circle area: π(2)² = 4π units²
Shaded area: 25π - (9π + 4π) = 25π - 13π = 12π units² or 37.7 units²
Find the volume of this solid.
Answer:
C
Step-by-step explanation:
1/2(10*7)*13
1/2(70)*13
35*13=455
Which of the following statements is true?
The value π is a rational number.
The number 0 is a natural number.
The number 1/2 is an integer.
The number -5 is a real number.
Answer:
The value π is a rational number.
Step-by-step explanation:
10 = 7 - m*
It says solve & check solution. Can someone help asap
Answer:
see explanation
Step-by-step explanation:
Given
10 = 7 - m ( subtract 3 from both sides )
3 = - m ( multiply both sides by - 1 )
- 3 = m , or
m = - 3
As a check
Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution
7 - m = 7 - (- 3) = 7 + 3 = 10 = left side
Thus m = - 3 is the solution to the equation
What single decimal multiplier would you use to decrease by 19% followed by
a 10%
Increase
Answer:
1.26 is the single decimal multiplier
Step-by-step explanation:
Answer:
Answer: 1.26 is the single decimal multiplier.
Step-by-step explanation:
Emily is preparing a presentation about ways to prevent heart disease for her health class. Which part of her presentation would be best suited to a video?
the explanation of how heart disease progresses over time in part of her presentation would be best suited to a video.
What is heart disease?Several different heart disorders are referred to as "heart disease." Coronary artery disease (CAD), which affects the blood flow to the heart, is the most typical kind of heart disease in the United States. A heart attack may result from reduced blood flow.
here,
Chest pain or discomfort, pain in the upper back or neck, heartburn, nausea, vomiting, extreme exhaustion, pain in the upper body, dizziness, and shortness of breath are all symptoms of a heart attack.
Heart palpitations are caused by an arrhythmia (palpitations). Heart failure symptoms include shortness of breath, exhaustion, or swelling of the legs, abdomen, or neck veins.
The three main risk factors for heart disease are excessive blood pressure, high cholesterol, and smoking. Nearly half of Americans (47%) have at least one of these three risks.
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Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 5
B. 113
C. 413
D. 3
SUBMIT
the sample correlation coefficient can be a positive value, a negative value, or zero. T/F
The sample correlation coefficient can indeed be a positive value, a negative value, or zero.
The sample correlation coefficient measures the strength and direction of the linear relationship between two variables in a sample. It is denoted by the symbol "r" and can take values ranging from -1 to 1. A positive correlation coefficient indicates a direct relationship between the variables, meaning that as one variable increases, the other tends to increase as well.
On the other hand, a negative correlation coefficient indicates an inverse relationship, where as one variable increases, the other tends to decrease. A correlation coefficient of zero signifies no linear relationship between the variables, indicating that changes in one variable are not associated with changes in the other. Therefore, depending on the data, the sample correlation coefficient can be positive, negative, or zero, reflecting the nature of the relationship between the variables under consideration.
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What action would you use to solve c-3=12
Answer:
c=15
Step-by-step explanation:
you would add 3 to 12 and end up with c=15
what is -4x+20≥28 i need to fast though
Answer:
\(x\leq -2\)
Step-by-step explanation:
Solve for x:
\(-4x+20\geq 28\)
Subtract 20 on both sides
\(-4x\geq 8\)
Flip the sign and multiply both sides by -4
\(16x\leq -32\)
Divide by 16
\(x\leq -2\)
PLEASE HELP ASAP!!!-
And the number is ______
a number formed with straight lines only.
a number with only one of its digits are greater than 4.
a 2-digit odd number.
a number found as the date each month on the calendar.
Answer:
43
Step-by-step explanation:
I think if I am wrong so sorry
Simplify this please
K-Mart is offering a 15% discount on children's clothing. Susan sees a jumper she likes for $30. How much does she pay for the jumper?
The answer is $25.5!