factorize: xy-3x - 5y + 15
Answer:
Step-by-step explanation:
xy-3x-5y+15
x(y-3)-5(y-3)
(y-3)(x-5)
The last four years of stock returns are as follows: Year 1 is -4% Year 2 is +28% Year 3 is +12% Year 4 is + 4% (a). What is the average annual return?
Answer:
The Average annual return is:
= 10%.
Step-by-step explanation:
a) Data and Calculations:
Year Stock Returns
Year 1 -4%
Year 2 +28%
Year 3 +12%
Year 4 + 4%
Total returns = 40%
Average annual returns = 10% (40%/4)
b) The average annual return is computed as the total returns for the four years divided by 4. It shows that on the average, the return earned per year from the stock investment is 10%, during the four-year period. It is the mean of the total returns.
the length of a rectangle pools 15m greater than its width. what is the length if the perimeter of the pool is 96m
Answer:
31.5 m
Step-by-step explanation:
Let w represent the width of the pool.
Since the length is 15 m greater than the width, it can be represented by w + 15.
Use the perimeter formula, p = 2l + 2w. Plug in the perimeter, and w + 15 as l into the formula:
p = 2l + 2w
96 = 2(w + 15) + 2w
96 = 2w + 30 + 2w
96 = 4w + 30
66 = 4w
16.5 = w
So, the width of the pool is 16.5 m. Add 15 to this to find the length:
16.5 + 15
= 31.5
The length of the pool is 31.5 m
Let the width be w
Length = w + 15
Now
Perimeter = 2(l + w)
96 = 2(w + 15 + w)
96/2 = w + 15 + w
48 = 2w + 15
48 - 15 = 2w
33 = 2w
33/2 = w
16.5 = w
Then,
Length = w + 15
Length = 16.5 + 15
Length = 31.5 m
[tex] \\ [/tex]
Can someone help me out
Answer:
82.8
Step-by-step explanation:
area of the parallelogram = base × height
= 13.8×6
= 82.8 in²
Answered by GAUTHMATH
A person must score in the upper 2% of the population on an IQ test to qualify for membership in Mensa, the international high IQ society. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. what score must a person have to qualify for Mensa? If required, round your answers to nearest whole number.£
Answer:
130.81
Step-by-step explanation:
Given that :
Mean, μ = 100
Standard deviation, σ = 15
To obtain the upper 2% of scores :
We find the Zscore (value) of the upper 2% from the normal probability distribution table ;
Zscore corresponding to the area in the left of (1 - 0.02) = 2.054
Using this with the Zscore formula :
Zscore = (x - μ) / σ
2.054 = (x - 100) / 15
2.054 * 15 = x - 100
30.81 = x - 100
30.81 + 100 = x
x = 130.81
Which expression is equivalent to 4x +4y
Answer:
C. 4(x + y)
Step-by-step explanation:
Use the distributive property.
4(x + y) = 4x + 4y
Answer:
C. 4(x + y)
Step-by-step explanation:
If you multiply this answer out (4 times x and 4 times y) it is the equivalent to 4x + 4y.
In right A ABC, B is a right angle and sin _ C= x.
sin A=
V1 – *2
22
Ох,
O2 - 1
+1
Answer:
Step-by-step explanation:
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]
Cross multiply
[tex] 100*Sin(R) = 50*Sin(140) [/tex]
Divide both sides by 100
[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]
[tex] Sin(R) = 0.32139 [/tex]
[tex] R = Sin^{-1}(0.32139) [/tex]
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]
Hence, The angle PRO is 1.7 degrees.
For more details refer to the link given below.
https://brainly.com/question/12895249
Please help me with question 4!
Answer:
I think that there might be some complex differential equation
stuff going on here if this were in the real world, but for the sake of this problem... may I suggest that the tank is filling up at a rate of
1/8 of a tank per hour...
it is evaporating at a rate of 1/12 tank per hour
you can subtract the rates
1/8 - 1/12 = 12/96- 8/96 = 3/96 = 1/32 tank/hr
so to fill the tank it should take 32 hours...
I think the logic and math work... lets see if someone else will verify this analysis?
Step-by-step explanation:
Christian has 1/2 of a foot of tape. His friend gives him 3/10 of a foot of tape. How much tape does Christian have now?
Answer:
4/5 foot
Step-by-step explanation:
Add the lengths together
1/2 +3/10
Get a common denominator
1/2 *5/5 + 3/10
5/10 + 3/10
8/10
Simplify the fraction by dividing the top and bottom by 2
4/5
[tex]\rm \implies \: Total \: \: length \: \: of \: \: tape \: = \: \frac{1}{2} \: + \: \frac{3}{10} \\ [/tex]
Now , we take LCM of denominators.LCM of 2 and 10 is 10.[tex]\bf \large \rightarrow \: \: \frac{5 \: + \: 3}{10} \: = \: \frac{8}{10} \\ [/tex]
Now , simplifying the fraction in simplest form.
[tex]\bf \large \rightarrow \: \: \cancel\frac{8 \: \: ^{4} }{10 \: \: ^{5} } \: = \frac{4}{5} \\ [/tex]
Christian have 4/5 foot of tape have now.
If Malcolm selects two coins at random without replacement, what is the probability (as decimal) that he selects a nickel followed by a dime? Penny 8 Nickel 6 Dime 8 Quarter 7
Answer:
65
Step-by-step explanation:
because
Answer:
1st coin: the probability for it to be a nickel is 6/29.
the 2nd coin, the probability for it to be a dime is 8/28.
total probability is 6/29 * 8/28 = 14/203.
Two tangents drawn to a circle from a point outside it, are equal in length.prove it.
Please help me solve this equation quickly!
Answer:
10
Step-by-step explanation:
The altitude of a graph is displayed as the square root of the two parts of the hypotenuse multiplied together. Over here, the two values are 5 and 15. That means the altitude of the graph is the square root of 5 times 15, which means the altitude of the bigger triangle is equal to the square root of 75. Now, we can use the Pythagorean theorem on the smallest triangle to figure out the value of x. We have:
[tex]5^2+(\sqrt{75})^2=x^2[/tex]
5 squared is 25 and the square root of 75 squared is 75.
[tex]25+75=x^2[/tex]
Combining like terms:
[tex]100=x^2[/tex]
Taking the square root of both sides:
[tex]10=x[/tex]
The value of x is 10.
Factor completely 3x - 15.
O 3(x - 5)
O 3(x + 5)
O 3x(-15)
O Prime
Answer: First Choice. 3 ( x - 5 )
Step-by-step explanation:
Concept:
When we are doing factoring, we should try to find any Greatest Common Factor (GCF) of all constants in the given expression.
The Greatest Common factor is the largest value of the values you have, that multiplied by the whole number is able to "step onto both".
Solve:
Factors of 3: 1, 3
Factors of 15: 1, 3, 5, 15
As we can see from the list above, 3 appears in both lists of factors and is the greatest for 3. Therefore, [3] is the GCF of 3 and 15
Divide 3 for both numbers to find the remaining.
3x / 3 - 15 / 3x - 5Check whether or not the remaining can be divisible
Ans: NOPut the factored out 3 and remaining together
3 ( x - 5)Hope this helps!! :)
Please let me know if you have any questions
Can you please answer this and don't just give the answers also explain it how you got them? -Thank you
vHelena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.
In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?
1 combination
4 combinations
21 combinations
24 combinations
24
i'm pretty sure of this, if those are the four possible answers.
What is the equation of the graph?
Answer:
In the sciences, many times it is necessary to be able to interpret graphs as well as be able to graph certain equations. Often data is available in a graphical format and you must be able to extract the necessary information. Other times, it may be helpful to plot an equation in order to fully understand a problem. However, graphing can be difficult for some students. The format in this section is a little different. The first part will be simply showing what some special equations look like in graphical form and the second part will be a series of questions to help you understand graphs better.
Step-by-step explanation:
need help pleaseee!!!
Answer:
it should be the third option
Step-by-step explanation:
I hope this help
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction? Select three options.
Answer:
m = negative StartFraction 10 over 4 EndFraction
m = negative five-halves
Step-by-step explanation:
Given equation :
Which equations are equivalent to Three-fourths + m = negative StartFraction 7 over 4 EndFraction
3/4 + m = - 7/4
Subtracting 3/4 from both sides
3/4 + m - 3/4 = - 7/4 - 3/4
m = - 10/4
m = - 5/2
What expressions are equal to1/3⁶
Answer:
assuming that it is [tex](1/3)^{6}[/tex] that would be
[tex]\frac{1}{729}[/tex]
Step-by-step explanation:
Given m LM=130, find m KLM
Answer:
65 degrees because tangent chord angles are half the size of the arc
Verify that –(-x) is the same as x , for x = −4/5
Answer:
Step-by-step explanation:
-(--4,5)= -(4,5)= -4,5
1. 6/5 x 3/4
2. 2/3 x 8/5
3. 5/2 x 4/3
Answer:
hope this might help you
Someone plz explains this to me
Answer:
x=19.86
Step-by-step explanation:
use cosine,
cos 19°=x/21
x=cos 19° * 21
x=19.86
Describe how you can simplify division question such as 3,200 divided into 80
Answer:
40
Step-by-step explanation:
here
3200/80
1600/40
800/20
400/10
40
The marked price of a radio is rs 100 and if the shopkeeper allows 10% discount . how much should a customer pay for it
Answer:
rs 90
Step-by-step explanation:
10% discount means that you multiply the initial amount by 1-0.1. Therefore, since 0.9 x 100 is 90, you will pay rs 90
Answer: Rs 90
Explanation:
Marked Price - Rs 100
Discount = 10%
= 10/100×100
= Rs 10
Therefore after discount (100-10) = 90
The customer will pay Rs 90
Answered by Gauthmath must click thanks and mark brainliest
What is a simplified form of 1 − sin^2 θ?
Answer:
cos^2(θ)
Step-by-step explanation:
a regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) if one card is drawn at random from the deck, find the probability of the following events: it a 7, 8, or a king
(2x+1)(x-4)
(6x-5)(3x+2)
Answer:
2x^2 + 9x - 4
18x^2 - 3x - 10
Step-by-step explanation:
use foil method
[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point C D. point D E. point E
Answer:
Point C
Step-by-step explanation:
We want to reflect across the x axis
That means the y coordinate changes sign
Z = ( 5 1/2 , 3)
Z' = ( 5 1/2 , -3)
That is point C
