The missing values in the table on the account balance and the change from previous weeks are :
Change in Week 3 = - $ 155. 15Change in Week 4 = - $ 223. 75Account balance in Week 5 = - $ 1. 40Change in week 6 = - $ 4. 40The change in Ariel's account from Week 1 to Week 6 is - $ 365. 80.
How to find the change ?The change in Week 3 is :
= Account balance in week 3 3 - Account balance in week 2
= 182. 35 - 337. 50
= - $ 155. 15
Change in week 4 :
= - 41. 40 - 182. 35
= - $ 223. 75
Account balance in week 5 :
= - 41. 40 + 40
= - $ 1. 40
Change in week 5 :
= - 5. 80 - ( - 1. 40 )
= - $ 4. 40
The account change from week 1 to week 6 is :
= Account balance in week 6 - Account balance in week 1
= -5 .80 - 360
= - $ 365. 80
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Having trouble solving this:
Answer:
option c.
1/100
.........................
Answer:
0.01= \(\frac{1}{100}\)
An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go?
Answer:
360 miles
Step-by-step explanation:
Step 1: 120 miles*3 hours
Step 2: 360 miles far.
What’s 1/2 times x = 1/2 times 7
Answer:
1.75
Step-by-step explanation:
Answer:
\( \frac{1}{2} \times x = \frac{1}{2} \times 7 \\ \\ \frac{x}{2} = \frac{7}{2} \\ \\ 2x = 2 \times 7 \\ 2x = 14 \\ \\ x = \frac{14}{2} \\ \\ x = 7\)
hope I helped you^_^
A tire has a radius of 12 in. If that tire makes one full rotation how far does it travel?
5 rotations?
10 rotations?
Help
4/3x -(2/3x) I need help
Answer: 2/3x
Step-by-step explanation: 4 - 2 = 2 so 4/3x - 2/3x = 2/3x.
Answer:
2/3x
Step-by-step explanation:
PLZ HELP I DONT UNDERSTAND (show steps)
Answer:
a= −b/x
Step-by-step explanation:
Let's solve for a.
ax2+bx=0
Step 1: Add -bx to both sides.
ax2+bx+−bx=0+−bx
ax2=−bx
Step 2: Divide both sides by x^2.
ax2x2=−bxx2
a=−bx
Answer:
Step-by-step explanation:
perfect sqaure formula (u+w)²=u²+2uw+w²
ax²+bx+c=0 divide by a
\(x^{2} +\frac{bx}{a} + \frac{c}{a} =0\) so u=1, 2uw=2*1*w= b/a, so w=b/2a
\((x^{2}+ \frac{bx}{a} +\frac{b^{2} }{4a^{2} } ) +\frac{c}{a} -\frac{b^{2} }{4a^{2} }=0\) now that we formed the perfect sqare solve
\((x +\frac{b}{2a} )^{2} +\frac{c*4*a-b^{2} }{4a^{2} } =0\) but we can factor a negative in front of the fraction
\((x+\frac{b}{2a} )^{2} -\frac{b^{2} -4ac }{4a^{2} } =0\) now isolate the 2 terms and squareroot both sides
\(\sqrt{ (x +\frac{b}{2a} )^{2}} =\sqrt{ \frac{b^{2} -4ac }{4a^{2} } }\) and you will be left with
\(x +\frac{b}{2a} =\ + - \frac {\sqrt{ b^{2} -4ac} }{2a }\) subtract b/2a from both sides
x= \(\frac{-b+ - \sqrt{b^{2}-4ac } }{2a}\)
If cos(27) =p, express sin(27) in terms of p
Answer:
√(p²-1)
Step-by-step explanation:
sin (27°) = √(p²-1) / 1
= √(p²-1)
Mrs Patterson loves to knit, She knows that 6 balls of wool will make knitted caps. How many balls of wool will she need to make 20 caps?
the real answer is 15 i believe, sorry for the inconvenience
Let f be a differentiable function such that f (2) = 4 and f (2) = − 1/2 . What is the approximation for f (2.1) found by using the line tangent to the graph of f at x = 2 ?
Using line tangent, the approximation for f(2.1) is 3.95
Given,
The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).
The equation be like;
y - f(a) / (x - a) = f'(a)
y = f'(a) (x - a) + f(a)
Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation
y = f'(2) (x - 2) + f(2)
y = -1/2 (x - 2) + 4
To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.
y = -1/2 (x - 2) + 4
y = -1/2 (2.1 - 2) + 4
y = -1/2 x 0.1 + 4
y = 3.95
That is,
The approximation for f(2.1) using line tangent is 3.95
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Please help meeeeeeeeeee !!!!!!!!!!!!!!!!
There are 7 ounces of applesauce in each container
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
Let x represent the quantity of Newton applesauce
Descartes makes 72.5 ounces of applesauce, which is 2.5 times of Newtons, hence:
2.5x = 72.5
x = 29 ounce
Newton eats 8 ounces, hence:
Remaining = 29 - 8 = 21 ounces
The remaining is placed into 3 containers. If y represent the amount per container:
3y = 21
y = 7 ounces
There are 7 ounces in each container
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In what interval is the velocity zero in this graph?
O 1.0 to 3.0 hours
O 4.0 to 5.0 hours
O 3.0 to 4.0 hours
O 0.0 to 1.0 hours
The interval in which the velocity is zero in the graph is from 3.0 to 4.0 hours. Therefore, the correct option is C, "3.0 to
4.0 hours."
The velocity of the object is zero if the position of the object does not change with time. If the position of the object
marked on the position-time graph is the same forming a straight line on a graph between a time interval, then the
velocity of the object during that time interval is zero.
The object has zero velocity when it does not displace with time. The velocity of the object is zero when there is no
displacement of the object. The position of the object between two different time intervals remains the same. The
velocity is given by the relation v= (Δx/Δt)= (x 2 -x 1 )/ (t 2 -t 1)
From the graph provided, we see that the velocity is zero in the interval from 3.0 to 4.0 hours.
At this time, the velocity of the object is not changing, hence, it is zero.
Therefore, the correct option is C, "3.0 to 4.0 hours."
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In a class of 100 students, 60 like sports, 50 like music and 25 like both. show it in Venn-diagram and find the number of students who do not like any of them. find the number of students who like only one item
Answer:
Step-by-step explanation:
n(u)=100
n(s)=60
n(m)=50
n(snm)=25
n(sum)=85
n(sum)compliment = n(u)-n(sum)
= 100-85
= 15
The number 21 is the sum of two consecutive integers 10 and 11. What is the largest number of positive, consecutive integers whose sum is 21
Answer:
11
Step-by-step explanation:
8. Eric is in Sarah's class. This box
plot shows his scores on the
same nine tests. How do Eric's
scores compare to Sarah's?
Eric's Test
Scores
95
90
85
80
75
70
65
The way that Eric's test scores compare to Sarah's is that he has more variation in his marks than she does.
How to compare the scores ?Looking at Sarah's test scores, we see that her lowest was 73 and her highest score was 90. This shows that she had a range of :
= 90 - 73
= 17 points
Eric on the other hand, had a lowest score of 70 and also a highest score of 90 which means that his range was :
= 90 - 70
= 20 points
This shows that there is a greater variation with Eric's scores than Sarah's scores.
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Sarah's scores on tests were 79, 75, 82, 90, 73, 82, 78, 85, and 78. In 4-8, use the data.
-6+6y^2 factorize this expression
Answer:
- 6(1 - y)(1 + y)
Step-by-step explanation:
- 6 + 6y² ← factor out - 6 from each term
= - 6(1 - y²) ← (1 - y²) is a difference of squares
= - 6(1 - y)(1 + y)
A store manager wants to display 5 different brands of toothpaste in a row. How many ways can this be done
There are 120 ways that the store manager can display 5 different brands of toothpaste in a row.
A store manager wants to display 5 different brands of toothpaste in a row.
The Number of ways the manager can do this is given by the permutation formula.
The formula is used when there is a need to determine the number of ways to select or arrange objects, taken some at a time, without repetition. This is given by;
\(^nP_r = n!/(n-r)!\)
Here, n is the total number of objects to choose from and r is the number of objects taken at a time.
Applying the formula to this problem, we get,
n = 5 (because the manager wants to display 5 different brands of toothpaste in a row),
and r = 5 (because there are 5 brands to choose from).
Therefore,
\(^5P_5 = 5!/(5-5)!^5P_5\\
= 5!/0!^5P_5 \\
= 5*4*3*2*1/1 ^5P_5 = 120\)
Therefore, there are 120 ways that the store manager can display 5 different brands of toothpaste in a row.
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A suspect has two months of unpaid fees. One month they had 3 parking tickets and 14 traffic violations totaling $2030.The second month they had 11 parking tickets and 11 traffic violations totaling $2200 . How much does each parking ticket cost? How much does each traffic violation cost?
Answer:
Ok, sure.
Step-by-step explanation:
Let's denote the cost of a parking ticket as "P" and the cost of a traffic violation as "T".
From the information provided, we can create the following equations:
Equation 1: 3P + 14T = 2030 (for the first month)
Equation 2: 11P + 11T = 2200 (for the second month)
We now have a system of equations to solve. We can use various methods to find the values of P and T.
One common method is to use substitution. We can solve Equation 1 for P and substitute it into Equation 2:
From Equation 1, we can isolate P:
3P = 2030 - 14T
P = (2030 - 14T) / 3
Substituting P into Equation 2:
11((2030 - 14T) / 3) + 11T = 2200
Now, we can solve this equation to find the value of T.
11(2030 - 14T) + 33T = 6600
22330 - 154T + 33T = 6600
22330 - 121T = 6600
-121T = 6600 - 22330
-121T = -15730
T = -15730 / -121
T ≈ 130
Now that we have the value of T, we can substitute it back into Equation 1 to find the value of P:
3P + 14(130) = 2030
3P + 1820 = 2030
3P = 2030 - 1820
3P = 210
P = 210 / 3
P = 70
Therefore, each parking ticket costs $70, and each traffic violation costs $130.
Answer:
To calculate the cost of parking tickets and traffic violations, you need to know the number of tickets and the total amount of fines. Then you can divide the total amount by the number of tickets to get the cost per ticket.
For example, in the first month, the suspect had 3 parking tickets and 14 traffic violations totaling $2030. The total number of tickets is 3 + 14 = 17. The cost per ticket is $2030 / 17 = $119.41.
In the second month, the suspect had 11 parking tickets and 11 traffic violations totaling $2200. The total number of tickets is 11 + 11 = 22. The cost per ticket is $2200 / 22 = $100.
Therefore, each parking ticket costs $119.41 in the first month and $100 in the second month. Each traffic violation costs $119.41 / 14 = $8.53 in the first month and $100 / 11 = $9.09 in the second month.
I hope this helps!
Step-by-step explanation:
Find the distance between each pair of points. (3,-5), (-3,0)
Answer:
5
because all of the numbers are the same besides the 5, so it is 5 points away
In each problem find the measure of the value that is being asked for round angles to the nearest degree and lengths to the nearest tenth that u are manipulating the ratio to find the variable please help! Image below
The measure of angle B is approximately 42°.
Use the given ratios to determine the measure of the variable in each problem.
Round angles to the nearest degree and lengths to the nearest tenth.
A = 50°, b = 12, c = 14
We can use the law of cosines to find angle B.
The law of cosines states that c² = a² + b² - 2abcos(C),
where C is the angle opposite side c.
We can rearrange this formula to find cos(C):
cos(C) = (a² + b² - c²) / 2ab
Now, we can substitute the given values and solve for cos(C):
cos(B) = (12² + 14² - 20²) / (2 × 12 × 14)
cos(B) = 0.7436
Now, we can use the inverse cosine function to find angle B:
B = cos⁻¹(0.7436)B = 41.6°
Therefore, the measure of angle B is approximately 42°.
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A three-dimensional figure has a volume of 314 cubic centimeters rounded to the nearest cubic centimeter. Select whether each shape below, with dimensions given in centimeters (cm), matches this three-dimensional figure.
A sphere with a radius of 4.217 cm (true or false)
A sphere with a diameter of 4.217 cm (true or false)
A cone with a radius of 10 cm and a height of 3 cm(true or false)
A cylinder with a radius of 1 cm and a height of 10 cm(true or false)
A cylinder with a radius of 4.47 cm and a height of 5 cm(true or false)
Answer:
The first one and the third one are true and the rest are false
Step-by-step explanation:
Answer:
first and therd are right
Step-by-step explanation:
a bucket that weighs 4 pounds and a rope of negligible weight are used to draw water from a well that is 83 feet deep. the bucket is filled with 35 pounds of water and is pulled up at a rate of 1.8 feet per second, but water leaks out of a hole in the bucket at a rate of 0.25 pounds per second. find the work done pulling the bucket to the top of the well. your answer must include the correct units. (you may enter lbf or lb*ft for ft-lb.)
The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).
To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.
First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.
Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.
Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.
Work = Force * Distance
Work = 39 pounds * 83 feet
To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.
To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.
39 pounds * 32.2 feet per second squared = 1255.8 pound-force
Finally, we can calculate the work done pulling the bucket to the top of the well.
Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)
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please answer fast.
Answer:
Step-by-step explanation:
Which graph best represents the equation 2x + 4y = -8?
Answer:
y = -1/2x - 2
Step-by-step explanation:
2x + 4y = -8
4y = -2x - 8
y = -1/2x - 2
PLS HELP ME NEED ANSWERS ASAP pls and thank you!!!!
What answers do you need?
Have a nice day
Why is it important to know the population standard deviation when estimating the population mean?.
When we know the population standard deviation σ, we use a standard normal distribution to calculate the error-bound EBM and construct the confidence interval.
The value of z needs to be found for that is equal to the confidence level (in decimal form) which is in the middle of standard normal deviation Z ~ N(0, 1). One doesn't know the Population Standard Deviation (SD) unless one measures the entire population data points. One can calculate SD. If one means estimating the SD of the population then we can answer that. Any dataset is measured and reported in at least two ways: Center Tendency of the data set (Mean, Median or Mode) and Variability of the data set (Range, SD, etc.)
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Hassan is cooking some rice the recipe says he needs 450 grams of rice for 6 people.how many kilograms of rice would he need for 18 people
All I need is the answer no workings
Answer:
1.35 kg
Step-by-step explanation:
450/ 6= 75
75 x 18= 1350 grams
1.35 kg
Hassan needs 1.35 kg of rice for 18 people.
What is unitary method?"It is a method of finding the value of a single unit."
For given question,
Hassan needs 450 grams of rice for 6 people
Let he needs 'x' grams of rice for 1 person.
By unitary method,
\(\Rightarrow x=\frac{450}{6}\\\\\Rightarrow x=75~~grams\)
So, the amount of rice for 18 people would be,
⇒ 18x
= 18 × 75
= 1350 grams
= 1.35 kg ......................(1000 grams = 1 kg)
Therefore, Hassan needs 1.35 kg of rice for 18 people.
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The Bureau of Labor Statistics reported that 16% of U.S. non-farm workers are government employees. A random sample of 65 workers is drawn
a) Does the "Central Limit Theorem" hold? Since
the CLT holds for a random sample of 65 non-farm workers, which allows us to make statistical inferences about the proportion of government employees among non-farm workers using the normal distribution.
Yes, the Central Limit Theorem (CLT) holds for this scenario. The CLT states that, regardless of the underlying distribution of a population, as long as the sample size is sufficiently large (usually considered to be at least 30), the distribution of sample means will be approximately normal. In this case, we have a random sample of 65 non-farm workers, which is large enough to satisfy the conditions of the CLT.
The CLT is important because it allows us to make inferences about population parameters (such as the proportion of government employees among non-farm workers) based on sample statistics (such as the proportion of government employees in our sample). Specifically, we can use the normal distribution to calculate confidence intervals and perform hypothesis tests, which can help us determine whether our sample is representative of the population and draw conclusions about the population parameter of interest.
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Need help on 7-119 please
Answer:
segment a would be 2.5, b would be 2.5, and c would be 3.5 i believe
Step-by-step explanation:
to get a midpoint, you measure the distance between the two endpoints, then divide that answer by 2.
Do you know what the FACTORS are of this generic rectangle
Answer: The two factors are x+7 and x+2
The polynomial factors to (x+7)(x+2)
=========================================================
Explanation:
In the upper left corner we have x^2. We get this by multiplying x with x
So,
x*x = x^2
This means you'll have x to the left of x^2, and another copy of x above the x^2. These new terms are outside the box.
Now ask yourself, what goes in the blank x times ___ = 7x. The answer must be "7" since x times 7 = 7x. So we'll write 7 above the 7x, outside the box. Up top, the x and 7 help form the factor (x+7)
Along the left side, the other factor is (x+2) for similar reasoning. Notice how we effectively have x times ___ = 2x and '2' must go in the blank. So a '2' must go to the left of the 2x.
Putting everything together, the two factors are (x+7) and (x+2).
Therefore, x^2+7x+2x+14 fully factors to (x+7)(x+2)
This is the same as saying x^2+9x+14 factors to (x+7)(x+2)
The order of multiplication doesn't matter.
Assuming that each of the 121212 customers is equally likely to report a food allergy, what is the probability that at least one customer will report a food allergy?.
The probability that at least one customer will report a food allergy is; 0.6323
How to find the probability?The formula for Binomial probability distribution is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
Where;
P(X = x) is the probability of getting success.
x is number of trials
n is sample size
p is the probability of getting success in each event.
We are given;
n = 12
p = 0.08
Let x denotes the customer will report a food allergy.
Then, the probability that at least one customer will report a food allergy will be :
P(X ≥ 1) = 1 - P(X < 1)
P(X < 1) IS P(X = 0)
Thus;
P(X ≥ 1) = 1 - 0.3677
P(X ≥ 1) = 0.6323
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Complete question is;
When a customer places an order at Ying Ying's bakery, there is an 8 percent probability that the customer will report a food allergy. One day, 12 customers place orders at Ying Ying's bakery.
Assuming that each of the 12 customers is equally likely to report a food allergy, what is the probability that at least one customer will report a food allergy?