I know you're looking for an answer but i'm doing a challenge where i have to answer 10 questions by the end of today, I'm sorry! :(
The curve of best fit is given as y = 4 + 3x + 2x2. Find the value of y when x = 2
3.Give some examples of commutative property of multiplication and some non examples
Answer:
a+b = b+a
Step-by-step explanation:
Find the quotient of 2. 5 × 10-3 and 7. 1 × 106. What can be concluded about the solution? Check all that apply. The E indicates that the solution is given in scientific notation. The coefficient is 3. 5211. The exponent is 10. The solution can be written in scientific notation as 3. 5211 × 10-10. The solution is 35,211,000,000.
Scientific notation is the way through which a very small or a very large number can be written in shorthand. The quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.
What are Scientific notations?Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
We know we need to divide 2.5×10⁻³ by 7.1×10⁷. Therefore, if we divide the two numbers the solution will be,
[tex]\dfrac{2.5 \times 10^{-3}}{7.1 \times 10^7}\\\\ = \dfrac{2.5}{7.1} \times 10^{-3-7}\\\\= 0.35211 \times 10^{-10}\\\\= 3.5211 \times 10^{-11}[/tex]
Hence, the quotient of 2.5×10⁻³ by 7.1×10⁷ is 3.5211×10⁻¹¹.
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Answer:
A. The E indicates that the solution is given in scientific notation.
B. The coefficient is 3.5211.
D. The solution can be written in scientific notation as 3.5211 × 10^-10
Step-by-step explanation:
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Write the following as an inequality.
8 is greater than or equal to w, and w is greater than 4 use w only once in your inequality
Answer:
8 ≥ w > 4
Step-by-step explanation:
This says the w is greater or equal to 8 but it also says that w is greater than 4.
Answer:
8 ≥ w > 4
Step-by-step explanation:
Because 8 is greater than or equal to w, and w is greater than 4.
Derek and his friends drove from San Francisco to Lake Tahoe to go skiing. The average speed that they traveled during each leg of the trip is shown on the map. They drove 30 min in the city, 3 h on the highway, and 30 min up the mountain.
Write a piecewise function to represent the distance that Derek traveled during his four hour trip.
The piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex]
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex]
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex]
How to build a piecewise function
A piecewise function is a group of functions working on certain intervals, which corresponds to three expressions in this case. Likewise, the car moves at constant speed and the resulting distance is equal to the sum of initial position ([tex]x_{o}[/tex]), in miles, and the product of speed (v), in miles per hour, and time (t), in hours.
Then, the piecewise function of the travel of the car is now described in detail:
[tex]x (t) = 30\cdot t,\,0 \le t < 0.5[/tex] (1)
[tex]x(t) = 15 + 60\cdot (t-0.5)[/tex], [tex]0.5\le t < 3.5[/tex] (2)
[tex]x(t) = 195 + 45\cdot (t-3.5)[/tex], [tex]3.5\le t \le 4[/tex] (3)
RemarkThe map with key information of velocities is missing. We proceed to show the required information:
City - 30 miles per hour
Highway - 60 miles per hour
Mountain - 45 miles per hour
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5.5x = 11? Please help. :c
Answer:
The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11
Step-by-step explanation:
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Your friend operates a business and has the following demand curve. Complete the table, and use the information provided to find your friend’s profit-maximizing price and level of output
A demand curve shows the quantity demanded of a product at each price.
What is a demand curve?Your information is incomplete as the table isn't given. Therefore, an overview will be given.
A demand curve simply means a graphical representation of the relationship between price and quantity demanded.
In this case, a demand curve shows the quantity demanded of a product at each price. The profit maximizing price is when the marginal cost equals marginal revenue.
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The profit-maximizing price is when the marginal cost equals marginal revenue.
An individual’s utility-maximizing choices can lead to a demand curve.
What is the demand curve?Demand can be defined as the total amount of goods or services that consumers are willing and able to purchase at a given price.
In Economics, there are primarily two (2) factors that affect the availability and the price at which goods and services are sold or provided, these are demand and supply.
The marginal decision rule—generally produce downward-sloping demand curves.
This section shows how an individual’s utility-maximizing choices can lead to a demand curve.
Hence, The profit-maximizing price is when the marginal cost equals marginal revenue.
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Chloe is installing new windows in her house and needs to determine the amount of sealant she will need around the outside edge of each rectangular window. Each of the windows has an area of 2,160 Inches squared with a length of 60 inches. What is the perimeter of each window?
To find the width of each window, use the formula w = StartFraction A Over l EndFraction, where w represents the width, A represents the area, and l represents the length. To find the perimeter, use the formula P = 2 l + 2 w, where P represents the perimeter, l represents the length, and w represents the width.
Answer:
240
Step-by-step explanation:
because each side is 60 inches so do 60x4 and you get 240
Answer:
Option D!
Step-by-step explanation:
Hope this helps.
Simplify the following.
-
1. 3m - 2n + 5m
2. -b - b + 5
3. 50 - 9 - 8C + 5
-
Answer:
1.[tex]8m-2n[/tex]
2.[tex]-2b+5[/tex]
3.[tex]-8c+46[/tex]
Step-by-step explanation:
Given the following questions:
[tex]3m-2n+5m[/tex]
[tex]-b-b+5[/tex]
[tex]50-9-8c+5[/tex]
To simplify the following we are going to have to regroup and combine like terms which means we are going to use inverse of operations on terms with similar variables.
Question one:
[tex]3m-2n+5m[/tex]
[tex]3m-2n+5m=3m+5m-2n[/tex]
[tex]3m+5m-2n[/tex]
[tex]3m+5m=8m[/tex]
[tex]=8m-2n[/tex]
Question two:
[tex]-b-b+5[/tex]
[tex]-b-b=-b+-b=-2b[/tex]
[tex]=-2b+5[/tex]
Question three:
[tex]50-9-8c+5[/tex]
[tex]50-9-8c+5=-8c+50-9+5[/tex]
[tex]-8c+50-9+5[/tex]
[tex]50-9=41[/tex]
[tex]-8c+41+5[/tex]
[tex]41+5=46[/tex]
[tex]=-8c+46[/tex]
Which means your answers are "8m - 2n, -2b + 5, and -8c + 46."
Hope this helps.
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A computer was purchased at a sale at a discount of 15%. If $688.50 was paid for it,
and this price includes 8% sales tax, then what was the original price without tax or
discount?
Based on the discount rate and the sales tax, the original price of the computer was $750.
What was the original price?First find the price before tax. This can be found as:
= Computer price / (1 + tax)
= 688.50 / (1 + 8%)
= $637.50
Then find the price without the discount as:
= Price without tax / (1 - discount rate)
= 637.50 / (1 - 15%)
= $750
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Can anyone help me with this?
Answer:
-5 ; -3 ; -1.5 ; 0 ; 11 (**Quotient order**) -30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 (** Division Problem Order which is the Original Order**)
Step-by-step explanation:
Here are your division problems:
-30/6 ; 0/-20 ; -44/-4 ; 21/-7 ; - (-3/-2)
First, do the -30 divided by 6
The rule when dividing with a negative and positive is you divide normally but have a negative for your answer.
30 divided by 6 is 5 but carry the negative due to the rule.
First one is -5
Next,
This one is simplistic,
It doesn't matter if it is negative anything divided by 0 is 0
Second one is 0
The next one is -44 divided by -4.
The rule when dividing with negative and negative is they cancel out and become a positive answer.
44 divided by 4 is 11
Third is 11
21 divided by -7 is the same as the first one, divide normally and carry negative.
21 divided by 7 is 3 but carry the negative.
Fourth is -3
Lastly, we need to use the rules once again. the negatives cancel but you still have a negative. This shall be a negative answer.
Here's the twist. 3 can't divide into 2 easily. You need to get a decimal which is fine.
Fifth is -1.5
Now with all of our numbers:
-5, 0, 11, -3, and -1.5 you need to order them from least to greatest.
Rule: The farther you go out with negatives the smaller they are for example like -12.
-5 is first
-3 is second
-1.5 is third
0 is fourth
11 is fifth
-5 ; -3 ; -1.5 ; 0 ; 11 is the quotient order
-30/6 ; 21/-7 ; - (-3/-2) ; 0/-20 ; -44/-4 is the division problem order
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%
5-2x > 3x-10
Solve the inequality
Answer:x<3 that shout be right. I calculated it.
Step-by-step explanation:
Steve bought 24 ounces of his favorite cereal. He put equal amounts of the cereal in 4 containers. How many ounces did he put in each container?
15 POINTS
Identify the center and radius of a circle with equation (x-4)^2 + (Y+2)^2 =9
A.) Center at (4,2); radius: 9
B.) Center at (-4,2); radius: 9
C.) Center at (4,-2); radius: 3
D.) Center at (-4, 2); radius: 3
The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.
h = 4
k = -2
Center: (4, -2)
square root of 9 = 3
Radius: 3
Correct Answer: C
Hope this helps!
Please help!! <3
Thanks in advance!!
Given the function h of x equals 2 times the cube root of x minus 10 end root plus 4, what is the x-intercept of the function?
–10
–4
2
8
Step-by-step explanation:
if I understand correctly, then we have
h(x) = 2 × cubic root(x - 10) + 4
the x-intercept is the x value where y or h(x) = 0.
0 = 2 × cubic root(x - 10) + 4
0 = cubic root(x - 10) + 2
-2 = cubic root(x - 10)
-8 = x - 10
x = 2
The intercept is the point where a line or curve crosses the axis. The x-intercept of the function is (2,0)
Intercept of a functionThe intercept is the point where a line or curve crosses the axis. Given the function below:
h(x) = 2(∛x-10) + 4
For the x-intercept, it is the point where h(x) = 0.
Substitute
2(∛x-10) + 4 = 0
2(∛x-10) = -4
(∛x-10) = -2
Take the cube of both sides
x-10 = (-2)^3
x -10 = -8
x = -8 + 10
x = 2
Hence the x-intercept of the function is (2,0)
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You need to mark a fifth teen foot beam into five equal segments .how long is each segment ?
Answer: 3
Step-by-step:
15/5=3
Each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.
Since acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
To find out the length of each segment of a fifteen-foot beam divided into five equal parts, we have to divide the total length of the beam by the number of segments it is being divided into.
We can do this using the division operation as shown below:
15 ÷ 5 = 3
Therefore, we can conclude that each segment of a fifteen-foot beam divided into five equal parts is 3 feet long.
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19
The diagram shows a quadrilateral JKLM.
7 cm
K
J
4.5 cm
M
15 cm
L
Work out the size of angle KLM.
Give your answer correct to 3 significant figures.
Answer:
Step-by-step explanation:
If Jonah’s lunch cost $27.50, and he paid $1.65 sales tax. What is the percent of sales tax?
Answer:
6.38%
Step-by-step explanation:
To answer questions like these it helps to work backwards. We know that sales tax is an added percentage of the cost of a product onto total.
So we get this sort of image:
Total = Original Cost x (1 + %tax)
Now we can start putting the numbers from the question into this equation.
So we know the total:
27.50 = Original Cost x (1+%tax)
We know the original cost. It must be the total amount minus the amount of sales tax put on it. (27.50 - 1.65 = 25.85)
27.50 = 25.85 x (1+%tax)
Now we can start solving for "%tax".
(27.50/25.85) = 1 + %tax
1.0638 = 1 +%tax
1.0638 - 1 = %tax
0.0638 = %tax
6.38% = tax
The sales tax is 6.38%.
A bag has 11 blue marbles 23 red marbles if you draw marbles without replacemtn what si the probability that you draw no blue marbel
Answer: 66% or 67% if you round it up
Step-by-step explanation: Add 23 and 11 together: 34
I'm not sure how many marbles you drew so I'll say subtract 1: 33
22/33 =.6 repeating.67 if you round it up or 67%
The probability that you draw no blue marble is 23/11.
What is the probability?Probability is a branch of math that deals with finding out the likelihood of the occurrence of an event.
A bag has 11 blue marbles and 23 red marbles.
Total number of marbles = 11 + 23 = 34
The probability of picking blue marbles is;
[tex]\rm Probability=\dfrac{Blue \ marbles }{Total \ marbles}\\\\Proability = \dfrac{11}{34}[/tex]
The probability that you draw no blue marbel IS;
[tex]\rm Probabilty = 1- Blue \ marable\\\\Probability = 1-\dfrac{11}{34}\\\\Probability=\dfrac{34-11}{11}\\\\Probability =\dfrac{23}{11}[/tex]
Hence, the probability that you draw no blue marble is 23/11.
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25 pts
A rectangular storage box is 12 in.
wide, 15 in. long, and 9 in. high. How
many square inches of colored paper
are needed to cover the surface of
the box?
Answer:
1,620
Step-by-step explanation:
L x W x H
L = 15
W = 12
H = 9
15 x 12 = 180
180 x 9 = 1620
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays. What is the distance between the penguins and the stingrays? StartFraction 81 Over 7 EndFraction feet 28 feet 45 feet 63 feet.
The distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
What is proportional segment between parallel lines?In two triangle in which the one side of the first triangle is parallel to the one side of the other triangle, two similar triangle formed.
Due to this similar triangle the segment formed by the parallel line are proportional segment.
The path from the whales to the sharks is parallel to the path from the penguins to the stingrays.
The map of the zoo is attached below.
The distance from whale to shark is 18 ft, and this side is parallel to the path from the penguins to the stingrays. Suppose the distance between the penguins and the stingrays is x meters.
Thus, in the given triangle, the ratio of these two sides will be equal to the ratio of their corresponding sides. Hence,
[tex]\dfrac{x}{18}=\dfrac{42}{27}\\x=\dfrac{42}{27}\times18\\x=28\rm\; ft[/tex]
Thus, the distance between the penguins and the stingrays which is parallel to the path from the whales to the sharks is 28 ft.
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Answer:
28
Step-by-step explanation:
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Can you please help me quickly!!
Answer:
to struggle to succeed when chances are bad
Step-by-step explanation:
She got nervous and froze when she thought she was going to lose.
which of the following statements is true?
Answer:
D. In an axiomatic system, every statement, either its capable of being proven true or false.
Step-by-step explanation:
I'm sure.
find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm
The area of each given square is:
Part A: 1/4 cm²
Part B: 9/47 units²
Part C: 1.89 inches²
Part D: 0.01 meters²
Part E: 12.25 cm²
What is the Area of a Square?Area of a square, with side length, s, is: A = s².
Part A:
s = 1/2 cm
Area = (1/2)² = 1/4 cm²
Part B:
s = 3/7 units
Area = (3/7)² = 9/47 units²
Part C:
s = 11/8 inches
Area = (11/8)² = 1.89 inches²
Part D:
s = 0.1 meters
Area = (0.1)² = 0.01 meters²
Part E:
s = 3.5 cm
Area = (3.5)² = 12.25 cm²
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Cora watched 30 movies for a combined total of 55 hours over her last summer break. Some of the movies were 1.5 hours long, and others were 2.5 hours long.
How many of Cora's movies were 2.5 hours long?
The number of movies that are 2.5 hours long that Cora watched is 10 hours.
What are the linear equations that represent this question?a + b = 30 equation 1
1.5a + 2.5b = 55 equation 2
Where:
a = movies that are 1.5 hours long
b = movies that are 2.5 hours long
How many movies are 2.5 hours long?Multiply equation 1 by 1.5
1.5a + 1.5b = 45 equation 3
Subtract equation 3 from 2
1b = 10 hours
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Damian owns a small business selling bagels. he knows that in the last week 40 customers paid cash, 66 customers used a debit card, and 18 customers used a credit card.
if next week, he is expecting 300 customers, about how many would you expect to pay with cash? round your answer to the nearest whole number.
please help me please
Answer:
2/3
Step-by-step explanation:
Looking at the graph, it looks like the line goes through (6,10) and (-6,-8). We can "subtract" the points like so:
(6-(-6))/(10-(-8))
=12/18
=2/3
You can remember this trick as "rise over run".
I hope this solution helped you. Happy mathing!
What is the value of the expression when n = 3?
-2n(5+n-83n)