Answer:
Area = 5 × 8
= 40 square units
Answer:
40^2
Step by Step Solution:
I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2. Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.
Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?
15.
Write a direct variation equation if x = 7 and y = 42.
16.
Use the equation in example 15 to find x if y = 66.
Answer:
15. y = 6x
16. x = 11
Step-by-step explanation:
15. A direct variation equation is of the form ...
y = kx
Solving for k, we find ...
k = y/x = 42/7 = 6
The equation is y = 6x.
__
16. Filling in the given values, we have ...
66 = 6x
11 = x . . . . . . . divide by 6
17. Find the 15% commission on $400 in sales.
O $75
$60
O $40
O $15
What is the Answer to this
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
FA = unknown horizontal leg = xFG = vertical leg = 6.1AG = hypotenuse = 11.2We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
FG is a perpendicular bisector for AEDG is a perpendicular bisector for ECBecause of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
Answer:
18.79
Step-by-step explanation:
→ Use Pythagoras theorem
√11.2² - 6.1²
→ Simplify
9.39
→ Now double the answer
18.79
a grandmother 2 mothers and 2 daughters went to the cafe. they ordered one cup of coffee each. what was the total number of cups they ordered.
Answer:
5 cups of coffee
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
1 grandmother = 1 cups
2 mothers = 2 cups
2 daughters = 2 cups
2 + 2 + 1 = 5
A. Are the expressions 3(m - 2) + 2(m - 2) and 50m - 2) equivalent expressions?
B. In two or more complete sentences, justify your answer to A.
Answer:
Step-by-step explanation:
3(m-2)+2(m-2)
3m-6+2m-4
3m+2m-6-4
5m-6-4
5m-10
The expressions 3(m-2)+2(m-2) and 50m-2 are not equivalent expressions.
After simplifying the first expression 3(m-2)+2(m-2) in part (a), we got 5m-10, which is different from the second expression, 50m-2.
The probability for event A is 0. 3, the probability for event B is 0. 6, and the probability of events A or B is 0. 8. Why are the events not mutually exclusive?.
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.3 + 0.6 - 0.8
P(A and B) = 0.1
Because this result is nonzero, the two events A and B are not mutually exclusive. It is possible for the two events to happen at the same time.
Mutually exclusive events always have P(A and B) = 0, which means A and B cannot happen simultaneously.
The probability of A or B equals the probability of A plus the probability of B. so, the event is not mutually exclusive because of the P(A and B) = 0.1, not 0.
Given that,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
We have to find,Why are the events not mutually exclusive?
According to the question,The probability for event A is 0.3, the probability for event B is 0.6,
and the probability of events A or B is 0.8.
P(A) = 0.3
P(B) = 0.8
and P(A∪B) = 0.8
When two events are said to be mutually exclusive when both the events cannot take place simultaneously.
Mutually exclusive events always undergo different outcomes.
These events are also known as disjoint events.
Mutually exclusive events prevent the second event to take place when the first event appears.
The probability of mutually exclusive events follows;The probability of A and B together equals 0,
P(A and B) = 0
The probability of A or B equals the probability of A plus the probability of B,
P(A or B) = P(A) + P(B)
Therefore,
P(A or B) = P(A) + P(B) = 0.3 + 0.6 = 0.9
Here, 0.9 ≠ 0.8
Thus, the events are not mutually exclusive.
Hence, The event is not mutually exclusive because the P(A and B) = 0.1, not 0.
For more details about Probability refer to the link given below.
https://brainly.com/question/14071639
167<6+7(2+7r)
what is it please help
Answer:
3 < r
Step-by-step explanation:
167<6+7(2+7r)
distribute the 7 to the 2 and 7r
7 * 2 = 14 and 7 * 7r = 49r
167 < 6 + 14 + 49r
combine like terms: 6 + 14 = 20
167 < 20 + 49r
subtract 20 from both sides
147 < 49r
divide both sides by 49
3 < r
If a store sells 300 flat screen TVs and 30% of high definition, how many high definition TVs were sold?
Find an equivalent ratio in simplest terms: 56 : 40
Answer:
7:5 is another ratio equivalent to 56:40
Step-by-step explanation:
56/8 = 7
40/8 = 5
Answer:
hope this helps
Step-by-step explanation: an equivalent ratio in simplest form would be 7:5
this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5
7:5
Using the picture below, which angle is alternate exterior to angle 2?
Answer:
alternate exterior means outside of the two parallel lines so your answer is 7 because alternate means other side of transversal
Find the EXACT distance between the two points.
(5,−4) and (3,5)
Answer:
√85
Step-by-step explanation:
The distance formula is used for this purpose.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((3 -5)² +(5 -(-4))²) = √((-2)² +9²) = √(4 +81)
d = √85 . . . . the distance between the two points
What is the perimeter?
14 feet
12 feet
16 feet
Answer:
14 feet
Step-by-step explanation:
You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square
Solve 2x^2 - x ≥ -5. Show your work.
Answer:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]
Step-by-step explanation:
Rewrite into standard form:
[tex]2x^{2} -x+5 \geq 0[/tex]
Complete the square:
[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]
Subtract [tex]\frac{39}{8}[/tex] from both sides:
[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]
Divide both sides by 2:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]
Simplify:
[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]
5) So far you have a MP3 Player with 0.5 GB of music already stored on the MP3 player and know that each song is about 0.002 GB of memory. What are the possible numbers of additional songs that you can put on the MP3 player if it holds at most 2 GB?
Answer: Any whole number between 0 and 750, including both endpoints.
One example could be 700 additional songs.
==================================================
Explanation:
x = number of additional songs, some nonnegative whole number
1 song takes up 0.002 GB, so x of them take up 0.002x GB of memory.
Add on the 0.5 GB already used to get the expression 0.002x+0.5 to represent the total amount of storage taken up. We want this expression to be 2 or smaller.
[tex]0.002x + 0.5 \le 2\\\\0.002x \le 2-0.5\\\\0.002x \le 1.5\\\\x \le 1.5/0.002\\\\x \le 750\\\\[/tex]
This says the most songs we can add are 750.
Because x is the number of songs, it doesn't make sense to have x be negative. This means [tex]x \ge 0[/tex] or [tex]0 \le x[/tex] is the case as well.
Combining [tex]0 \le x[/tex] and [tex]x \le 750[/tex] produces the compound inequality [tex]0 \le x \le 750[/tex]
The number of additional songs is any whole number between 0 and 750, including both endpoints.
The roster notation of this set could look like this: {0, 1, 2, ..., 748,749,750}
The triple dots indicate "keep this pattern going". That way we don't have to fill in all 751 values which would be a tedious process.
So you can add on something like 700 songs because it's between those endpoints mentioned, but cannot add something like 800 songs.
Answer:
0 - 750 additional songs
Step-by-step explanation:
current: 0.5 mb
remaining: 2-0.5=1.5 mb
each song: 0.002 gb
take remainig amount of space: 1.5 mb and divide by how much space each song takes: 0.002 mb to find out how many songs can fit in 1.5 mb of space
work:
(total amount of storage-used amount of storage)/storage per song
(2.0-0.5)/0.002
= 1.5/0.002
= 750 songs
what are the possible number of additional songs?
anything up until 750.
How much is the bill for a person who uses 600kWh in a month?
Answer:
the correct answer is $80
Step-by-step explanation:
your welcome(:
can I get the brainliest?(:
thank me if it was right for you too
please help me guys :) !
Answer:
{13, 9, 5, 1}
Step-by-step explanation:
Here the four inputs (x-values) are {1, 2, 3, 4}. The corresponding y-values are calculated using the formula y = 17 - 4x, and are as follows:
x y
1 17 - 4(1) = 13
2 17 - 4(2) = 9 In summary, the (vertical) 2nd column,
3 17 - 4(3) = 5 containing the y-values, is {13, 9, 5, 1}
4 17 - 4(4) = 1
what is
[tex]f(x) = 2x - 3[/tex]
And
[tex]g(x) = 6 - x[/tex]
Answer:
Solution
Correct option is C)
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.
Answer:
mean = 0.5
Step-by-step explanation:
The mean of a set of data is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= 0.5
help me please!!!!
please be quick!!
Answer:
40m^2 e
Step-by-step explanation:
The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
Help rn have to get this done send answers
Answer:
D) 3 units
Step-by-step explanation:
Hope this helps! Pls give brainliest!
#7 What is f(4) if f(1) = 3.2 and f(x + 1) = 2.5f(x)?
========================================================
Explanation:
We're given f(1) = 3.2 which says the first term of the sequence is 3.2
To find the second term, we use the other equation, which is the recursive equation. Plug in x = 1 to get...
f(x+1) = 2.5*f(x)
f(1+1) = 2.5*f(1)
f(2) = 2.5*f(1)
f(2) = 2.5*3.2
f(2) = 8
The second term is 8. We multiplied the previous term (3.2) by the factor 2.5 to get this second term.
The third term is handled pretty much in a similar fashion
third term = 2.5*(second term)
third term = 2.5*8
third term = 20
Lastly, the fourth term f(4) is...
f(x+1) = 2.5*f(x)
f(3+1) = 2.5*f(3)
f(4) = 2.5*f(3)
f(4) = 2.5*20
f(4) = 50
The fourth term is 50.
The first four terms are: 3.2, 8, 20, 50
How much do you need to invest to earn 2000 dollars in interest at a rate of 7% over 15 years?
Answer:
i dont know
Step-by-step explanation:
Say that Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually. If the Thai government wants to raise $70 billion in tax revenue, approximately where should it set the income tax rate? a. 5% b. 15% c. 23% d. 29%.
The income tax rate must be 29%.
Given that,
Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.
If the Thai government wants to raise $70 billion in tax revenue,
We have to find,
The approximately where should it set the income tax rate?
According to the question,
Thailand has a workforce of 35,709,487 people, each of whom earns an average salary of (equivalent USD) $8,630 annually.
[tex]\rm Total \ income = Number \ of \ people \times Income \ per \ person\\\\Total \ income = 35,709,487 \times 8,630\\\\Total \ income = 308,172,872,810[/tex]
If the Thai government wants to raise $70 billion in tax revenue,
Then,
The income tax rate is,
[tex]\rm Tax\ rate = \dfrac{70,000,000,000,}{308,172,872,810}\\\\Tax \ rate = 0.29\\\\Tax \ rate = 29 \ percent[/tex]
Hence, The income tax rate must be 29%.
For more details refer to the link given below.
https://brainly.com/question/16016455
Answer:
c
Step-by-step explanation:
Trust me, I got 100%
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Determine the linear equation modeled by the graph.
Answer:
liner equation
Step-by-step explanation:
do nothing
Determine the period of the function y = -3cos(pi/5)x.
a. 3
b. 8
c. -3
d. 10
Answer:
Step-by-step explanation:
B
Answer:
10
Step-by-step explanation:
please help due soon
Answer:
Your answer is A. x=6
Step-by-step explanation:
plug in 6 for x and youll get your answer
Which of the following is the correct ratio for Sine?
Answer:
Sin = Opp/Hyp
Step-by-step explanation:
Answer:
opposite over hypotenuse
Triangle UVW is dilated by a scale factor of 3 to form triangle UVW. Side VW
measures 54. What is the measure of side VW?
Answer:
162
Step-by-step explanation:
In geometry, dialation is increasing the size of a shape on a plane. Since the porblem you have givine isn't requiring the triangle to be centered around a point, this is fairly easy. If you are increasing UVW by a scale factor of 3, you are multiplying each side by 3. So, if side VW is 54, after dilation VW' will have a length of 162. (54 × 3 = 162)
Hope that helped!
