Answer:
21 s t^2
Step-by-step explanation:
7t · s · 3rt
Multiply the coefficients
7*3 =21
t*t = t^2
s
Multiply back together
21 s t^2
In a group of 150 people, 120 like to play volleyball and 85 like to play football. If 25 like to play up of the games.
MAY BE THIS !!!!
HOPE IT'S HELPFUL FOR U MATE
The number of people who play both volleyball and football will be 80.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
In a group of 150 people, 120 like to play volleyball and 85 like to play football. If 25 like to play up of the games.
The number of people who play volleyball and/or football is calculated as,
A∪B = 150 - 25
A∪B = 125
The number of people who play both volleyball and football is calculated as,
A∩B = A + B - A∪B
A∩B = 120 + 85 - 125
A∩B = 80
The number of people who play both volleyball and football will be 80.
More about the sets link is given below.
https://brainly.com/question/8053622
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10. In 2005 there were 9 million bicycles in Beijing, correct to the
nearest million.
The average distance travelled by each bicycle in one day was
6.5 km correct to one decimal place.
Work out the upper bound for the total distance travelled by all the
bicycles in one day,
Answer:
Total distance = 6,540,000 km
Step-by-step explanation:
Given
Number of bicycles = 9,000,000
Average Distance = 6.5 km (to 1 d.p)
Required
Calculate the upper bound of all bicycle distance
First, we need to determine the range of the distance traveled by each bicycle;
Since, the average distance is approximated, then the Range is:
[tex]Range = (6.45km\ to\ 6.54km)[/tex]
All number in this range approximate to 6.5km
Note that the upper bound of the range is 6.54km;
Hence, total distance is calculated as thus;
[tex]Total\ distance = Number\ of\ bicycle * upper\ bound[/tex]
[tex]Total\ distance = 1,000,000 * 6.54km[/tex]
[tex]Total distance = 6,540,000km[/tex]
figure a is a scale image of figure b. what is the value of x? please answer asap!
Greetings from Brasil...
According to the statement, one figure is scaled in relation to another, so we can apply similarity to polygons.....
So
BIG/small = BIG/small
or
small/BIG = small/BIG
12.5/10 = X/16
OR
10/12.5 = 16/X
12.5/10 = X/16
10X = 12.5 · 16
X = 200/10
X = 20Find the missing length. A. 60 B. 80 C. 64 D. 15
Step-by-step explanation:
the answer to the question is C. 64.
Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5.
Answer:
y = - 140
Step-by-step explanation:
Given that y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = - 180 when z = 15 and x = - 3, thus
- 180 = k × - 3 × 15 = - 45k ( divide both sides by - 45 )
4 = k
y = 4xz ← equation of variation
When x = 7 and z = - 5, then
y = 4 × 7 × - 5 = - 140
*URGENT* Suppose 12 is raised to the second power, like this: 12^2.
Which answers show the inverse operation?
There is more than one correct answer. Select all that apply.
Answer:
12 ^ 1/2 or [tex]\sqrt{12}[/tex]
Step-by-step explanation:
12^2
We want to do the inverse operation, which is the square root
We can write the square root as
^ 1/2 or as [tex]\sqrt{ }[/tex]
So the inverse of squaring 12 is
12 ^ 1/2 or [tex]\sqrt{12}[/tex]
=======================================================
Explanation:
Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write
[tex]\sqrt{x} = x^{1/2}[/tex]
The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.
The more general rule is
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
which says the nth root of x is the same as x^(1/n).
((1-sinθ)(1+sinθ))/(〖sin〗^2 θ)=〖cot〗^2 θ
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sin²x + cos²x = 1 ⇒ 1 - sin²x = cos²x
cot x = [tex]\frac{cosx}{sinx}[/tex]
Consider the left side
[tex]\frac{(1-sin0)(1+sin0)}{sin^20}[/tex] ← expand numerator using FOIL
= [tex]\frac{1-sin^20}{sin^20}[/tex]
= [tex]\frac{cos^20}{sin^20}[/tex]
= cot²Θ = right side
Once again, move points C, D, and E on the circle, and complete the table below. This time, you’ll consider what happens to the lengths of the sides of quadrilateral BCDE. Notice that m∠B is predetermined, so set that angle measure first.
Answer:
Also to help some of you out here’s the answer to question 6 !!
Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A
Step-by-step explanation:
How to do this question plz answer me step by step plzz
Answer:
Hope it helps U can still ask me if u have confusions
Answer:
60+16√30 cm² ≈ 147.64 cm²
Step-by-step explanation:
You can figure the height of the object from ...
V = Bh
120 cm^3 = (30 cm^2)h
4 cm = h . . . . . divide by 30 cm^2
However, this is insufficient to tell you the surface area.
__
If you assume that the base is square, then its side length is
A = s^2
s = √A = √(30 cm^2) = (√30) cm
The lateral surface area can then be found from the perimeter of the base and the height
LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2
The total surface area will be the sum of this lateral area and the area of the two bases:
total area = 16√30 cm^2 +2·30 cm^2
total area = (60 +16√30) cm^2 ≈ 147.64 cm^2
__
For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.
Show by shading , the region in a Venn diagram represented by the set notations I)(AUB) NC ii) AU ( BNC)
See the diagram, and tell me if it's clear
Which is the product of (x - 5)2?
A. x2 - 10x - 25
B. x2 - 10x + 25
C. x2 + 10x +25
D. x2 + 10x -25
Answer:
B
Step-by-step explanation:
Given
(x - 5)²
= (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25 → B
Answer:
Step-by-step explanation:
B..x2+10x+25
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2008? A. 19%; $479.99 million B. 19%; $240.89 million C. 9%; $404.00 million D. 9%; $440.36 million
Answer:
D. 9%, 440.36 million
Step-by-step explanation:
w = 221(1.09)t
9%, 440.36 million
determine if the following set of ordered pairs represents a quadratic function explain (5,7),(7,11),(9,14),(11,18)
Answer:the pairs are not a quadratic eqation
Step-by-step explanation:
The differences between the differences of the y value are not consistent
The set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
The set of ordered pairs
(5,7),(7,11),(9,14),(11,18)
We have to determine whether the (5,7),(7,11),(9,14),(11,18) is quadratic function or not.
Start by representing the function as an x-y table
x:- 5 || 7 || 9 || 11
y:- 7 || 11 || 14 || 18
The difference between the y values is not same
11-7=4
14-11=3
18-14=4
For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.
Hence, the set of ordered pairs (5,7),(7,11),(9,14),(11,18) does not represents a quadratic function
To learn more on Functions click:
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Consider 6x2 + 6x + 1. Which term immediately tells you that this expression is NOT a perfect square trinomial? Justify your answer.
Answer:
Step-by-step explanation:
The 6x^2 because 6 is not a perfect square.
Answer:
6x^2
Step-by-step explanation:
6 isn't a perfect square
what is the value of -19- (-18)?
Answer:
-1 is the answer
Step-by-step explanation:
I can't do the explanation of this question
Answer:
-1
Step-by-step explanation:-19 + 18 is basically how it is they end up canceling each other out except for the -1 which is the answer.
A daycare facility is enclosing a rectangular area along the side of their building for the children to play outdoors. They need to maximize the area using 180ft of fencing on three sides of the yard. The quadratic equation A=−2x2+180x gives the area, A, of the yard for the length, x, of the building that will border the yard. Find the length of the building that should border the yard to maximize the area, and then find the maximum area.
Answer:
a) length x = 45ftb) maximum area = 4050 ft²Step-by-step explanation:
Given the quadratic equation A=−2x2+180x that gives the area A of the yard for the length x, to maximize the area of the yard then dA/dx must be equal to zero i.e dA/dx = 0
If A=−2x²+180x
dA/dx = -4x + 180 = 0
-4x + 180 = 0
Add 4x to both sides
-4x + 180 + 4x = 0 + 4x
180 = 4x
x = 180/4
x = 45
Hence the length of the building that should border the yard to maximize the area is 45 ft
To find the maximum area, we will substitute x = 45 into the modelled equation of the area i.e A=−2x²+180x
A = -2(45)²+180(45)
A = -2(2025)+8100
A = -4050 + 8100
A = 4050 ft²
Hence the maximum area of the yard is equal to 4050 ft²
A retailer allowed 12% discount and sold a T- shirt at a loss of Rs 16. if he had sold it at 10% discount he would have gained Rs 20.for what price did he purchased the T- shirt.
Answer:
rs. 100
Step-by-step explanation:
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
6. To decide whether the rain and the train running late are dependent or independent events, first define the two events and then write their probabilities as decimals. (3 points) Let event A = ________________________. P(A) = ______. Let event B = ________________________. P(B) = ______. A and B = ________________________. P(A and B) = ______. 7. Use the probabilities from question 6 to decide whether the rain and the train running late are independent or dependent events. (2 points: 1 point for the correct math, 1 point for the conclusion)
Answer:
Step-by-step explanation:
Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent
Answer:
The two are independent.
Step-by-step explanation:
Convert:5.6 L INTO Milliters
Answer:
5600 ml
Step-by-step explanation:
1 L = 1000 ml
5.6 L = 5.6 × 1000 = 5600 ml
WILL GIVE THE BRAINLIEST. PLEASE HELP.
Answer:
300 miles.
Step-by-step explanation:
Distance = Rate * Time
We know the rate, 80 miles per hour.
We know the time, 3.75 hours.
As these use the same time unit, hours, we don't need to change any values.
We can just put these values into the formula:
[tex]d=r*t[/tex]
[tex]d=80*3.75=300[/tex]
Answer: 300 miles.
if 5^t = 0.04 ,then find the value of t
Answer:
t=-2
Step-by-step explanation:
Solve Exponent.
5t=0.04
log(5t)=log(0.04)(Take log of both sides)
t*(log(5))=log(0.04)
t=log(0.04)÷log (5)
t=−2
Hunter is copying an angle. His work so far follows. Explain the importance of his next step, which is drawing a line through A and Y using a straightedge.
This is to check to make sure that A is in the right place, since it was drawn using the arcs.
Using a straightedge ensures that there is a line passes through A and Y.
Because a line was drawn through point L, a similar line should be drawn through the corresponding point on ∠AYZ.
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
Answer:
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
Step-by-step explanation:
The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...
This is the other ray that will make up the angle ∠AYZ and will complete the construction.
20 POINTS AND BRAINLIEST!! Which of the following statements can be supported by the evidence shown in the graph?
A. The line best fit shows a positive correlation between month number and minutes
B. The line of best fits shows a negative correlation between the number of months and the number of minutes
C. The line of best fits shows no correlation between the month number and the number of minutes
Answer:
B. The line of best fits shows a negative correlation between the number of months and the number of minutes
Step-by-step explanation:
In a scatter plot, when the data points are clustered along the line of best fit, it shows a trend, and it implies there's a correlation between the x-variable and the y-varisble.
Also, when the line of best fit slopes upward, from your left to your far right, it shows a positive correlation between the variables on the x-axis and y-axis.
On the other hand, if the line of best fit slopes downwards, from your left down to your right, this shows a negative correlation.
Thus, considering the line of best fit in the question, the line of best fit shows a negative correlation between the number of months and the number of minutes. The line of best fit slopes downwards, from your left to your right.
This shows that, as month number increases, number of minutes decreases.
A farmer plants the same amount every day, adding up to 4 1/2 acres at the end of the year. If the year is 2/3 over, how many acres has the farmer planted
Answer:
3 acres
Step-by-step explanation:
If the farmer plants 4 1/2 acres in one full year, to figure out how much is planted if the year is 2/3 over, just do:
= [tex]\frac{2}{3}[/tex] [tex]of[/tex] [tex]4\frac{1}{2}[/tex]
= [tex]\frac{2}{3} * 4 \frac{1}{2}[/tex]
= [tex]\frac{2}{3} * \frac{9}{2}[/tex]
= [tex]3[/tex]
This means that 3 acres are planted
The number of acres that were planted by the farmer if the year is 2/3 will be 3.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
A farmer plants the same amount every day, adding up to 4 1/2 acres at the end of the year. If the year is 2/3 over.
Then the number of the acre will be
[tex]\rightarrow (4 +\dfrac{1}{2}) \times \dfrac{2}{3}\\\\\rightarrow \dfrac{9}{2} \times \dfrac{2}{3}\\\\\rightarrow 3[/tex]
More about the multiplication link is given below.
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what is 3.2 x 10^3=????????
[tex]\\ \rm\Rrightarrow 3.2\times 10^3[/tex]
[tex]\\ \rm\Rrightarrow 32\times 10^2[/tex]
[tex]\\ \rm\Rrightarrow 320\times 10^1[/tex]
[tex]\\ \rm\Rrightarrow 320(10)[/tex]
[tex]\\ \rm\Rrightarrow 3200[/tex]
Answer:
3200
Step-by-step explanation:
3.2·10^3
You move your decimal right three times. and you should get 3200.
3.2·10^3=3200
What is 30% of R210 and show your working out.
[tex]\\ \qquad\quad\sf\longmapsto 30\%\:of\:210[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{30}{100}\times 210[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{6300}{100}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 63[/tex]
Step-by-step explanation:
[tex]★→30\% \: of \: 210 \\=>\frac{30}{100} \times 210 \\ =>\frac{6300}{100} \\ => \boxed{63}✓[/tex]
30% of 210 is 63.please help :) Studies involving humans or animals are conducted under strict policies and procedures. This solution addresses which limitation? A) size of the system B) ethical concerns C) lack of proper equipment D) limited amount of time
Answer:
B
Step-by-step explanation:
Ethical concerns!
Good luck on your assignment hope this helps!:)
PLEASE HELP ASAP THANK YOU!!! LOVE U
The fish population is decreasing at a rate of 3% per year. In 2002 there were about 1200 fish. Find the fish population in 2010. Round to the nearest whole number.
Answer:
912 lil fishies
Step-by-step explanation:
since its 3% per year, and 8 years, that's 24%. 1200 x 24% is 288, and 1200-288 is 912 lil fishies :)
hope this helps!!
brainliest is very appreciated!
Graph the solution set to this inequality 3x - 11 > 7 x + 9
Answer:
-5 > x
Step-by-step explanation:
3x-11 > 7x+9
-20 > 4x
-5 > x
Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.
Answer/Step-by-step explanation:
1. <B is an inscribed angle intercepting arc CA.
Therefore, m<B = ½*128 (inscribed angle theorem)
m<B = 64°
x = 180 - (m<B + m<A) (sum of angles in a triangle)
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. [tex] KH*HI = JH*HG [/tex] (intersecting chords theorem)
[tex] 10*x = 14*5 [/tex]
Solve for x
[tex] 10x = 70 [/tex]
[tex] \frac{10x}{10} = \frac{70}{10} [/tex]
[tex] x = 7 [/tex]