Answer:
[tex] {x}^{3} + 5 {x}^{2} - x - 5 \\ {x}^{2} (x + 5) - 1(x + 5) \\ (x + 5)( {x}^{2} - 1)[/tex]
A rectangle ABCD is in scribed in a circle and E is a point on the circumference of the circle.Given that AE^2+BE^2+CE^2+DE^2=200 and the area of the circle is k pi ,find k
Answer:
Rectangle ABCD is a square. ... Last edited by Bunuel on Feb 24, 2018 7:34 am, edited 2 times in total. ... No values are given. ... since the radius is half the diamter you get 5* area of
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)
Answer: 69, -69
Step-by-step explanation:
it is easy buddy not lies
7. State the type of system of equations.
y + 5x = 6
5y + 25x = 80
Step-by-step explanation:
the systems of equations shown are parallel because they have the same slope
The 20th term of an arithmetic progression 1,5,9,13......
Answer:
a₂₀ = 77
Step-by-step explanation:
There is a common difference between consecutive terms , that is
5 - 1 = 9 - 5 = 13 - 9 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 4 , then
a₂₀ = 1 + (19 × 4) = 1 + 76 = 77
someone help me please with this algebra problem
Answer:
7 in.
Step-by-step explanation:
2L + 2W = 16
Try L = 7
2(7) + 2W = 16
14 + 2W = 16
2W = 2
W = 1
If the length is 7 in., then the width is 1 in. That is perfectly acceptable, so L = 7 in. is a good value.
Try L = 8
2(8) + 2W = 16
16 + 2W = 16
2W = 0
W = 0
A length of 8 would make a width of 0. You can't have a rectangle with 0 width, so L = 8 does not work.
When L = 9 or L = 10, the width would be negative. The width of a rectangle cannot be a negative number, so these values doe not work.
Answer: 7 in.
probability of multiple events
A standard number die is tossed once, and then again. Find P(first
roll = 1 and second roll = 1),
help pls
Answer:
1/36
Step-by-step explanation:
A standard die has 6 faces
The numbers 1 through 6 on singly on each face
so the probability of tossing a 1 would be;
1/6
The probability of tossing another 1 would still be same 1/6
So the probability of tossing a 1 and another 1 would be the product of the two tosses as follows;
1/6 * 1/6 = 1/36
Hi I really need help with this question.So if you can help me thank you so much and if you can help me can you explain it step by step please and thank you so much your a life saver <3
Answer:
Step-by-step explanation:
I'll answer the question, but before I do, let me crab about the reliance on a diagram. You should never have to answer a question where you make assumptions about the diagram. It should state the the longest leg in one triangle = 2x - 4, and the hypotenuse in the larger triangle is 42, while in the smaller one it is x + 8\
Added to which you have to state that there is a ratio between the large triangle and the small one.
24/(2x - 4) = (x + 8)/42 Cross Multiply
24*42 = (x + 8)*(2x - 4) Remove the brackets. Combine the left
1008 = 2x^2 - 4x + 16x - 32 Combine the right and switch
2x^2 + 12x - 32 = 1008 Subtract 1008
2x^2 + 12x - 1040 = 0 Divide by 2
x^2 + 6x - 520 = 0
(x + 26)(x - 20) = 0
x = - 26 which has no meaning
x = 20 which is the answer.
2x - 4 = 2*20 - 4 = 36
x + 8 = 28
I'm not sure what you want -- the side lengths or just x.
Step-by-step explanation:
the ratio
24:2x-4=x+8:42
24/2x-4=x+8/42
24×42=(x+8)(2x-4)
1008=2x(x+8)-4(x+8)
1008=2x²+16x-4x-32
1008=2x²+12x-32
1008+32=2x²+12x
1040=2x²+12x
0=2x²+12x-1040
OR
24/2x-4=x+8/42
LCM=42(2x-4)
42(2x-4)×24/2x-4=42(2x-4)×x+8/42
42×24=(2x-4)(x+8)
1008=2x(x+8)-4(x+8)
1008=2x²+16x-4x-32
1008=2x²+12x-32
1008+32=2x²+12x
1040=2x²+12x
0=2x²+12x-1040
Can someone help me with this math homework please!
OPTION C
The graph is continuous because there can be fractional values for time
Answer:
(C) The graph is continuous because there can be fractional values for time.
Step-by-step explanation:
There can't be a negative altitude because when it reaches the ground, it has a altitude of zero and can't go further down. However, it's not B because a discrete graph would also mean there would be set times (represented by points on the graph) of the hot air balloon moving. This isn't true, because the hot air ballon moves as time continues, even fractional time values.
So it's C, "The graph is continuous because there can be fractinoal values for time".
Hope it helps (●'◡'●)
How do relational databases work mathematically?
Answer:
A relational database stores data in a series of tables so that the data models a mathematical theory of relations. The model allows for queries based on projection, selection, and join, among other operations, and connects the data in the tables by way of keys.
Answer:
Well, I guess in a formal sense you could call relational algebra a type of logic, which puts it into the realm of ‘math’, though I don’t think most mathematicians would look at it as being a very significant area, more ‘applied logic’ than anything else.
That being said, relational algebra DOES present some formalisms in the shape of relations, tuples, normalizations, and denormalization, etc. There is also a model of sequential operations and thus the underpinnings of the ACID database concept.
Since the overwhelming primary use of RA has been as a way to structure our ideas about SQL RDBMSes there isn’t really a lot of deep theory there. I don’t think anyone has really built any other models of RA beyond an RDBMS. There have been limited non-SQL RDBMS implementations, but AFAIK none of them are really actively maintained today.
Please help timed question (question included in photo). I'll mark as brainiest!
Answer:
Step-by-step explanation:
This is a right triangle trig problem. Picture a right triangle. The height of the triangle is the height of the lighthouse, your distance from the base of the lighthouse is what we are solving for, and the reference angle is 2 degrees, which is the angle of inclination from where you stand to the top of this lighthouse. We have the reference angle, the side opposite the reference angle, and we are looking for the side adjacent to the reference angle. This is the tangent ratio: the side opposite the reference angle over the side adjacent to the reference angle. We know the measure of the reference angle and we know the value of the side opposite the reference angle. Filling in:
[tex]tan(2)=\frac{200}{x}[/tex] and
[tex]x=\frac{200}{tan(2)}[/tex] so
x = 5727.25 feet, the third choice down
Answer:
[tex]tan2=200/x[/tex] [tex]x=200/tan2[/tex]
[tex]x=5,727.25[/tex]
------------------------
hope it helps..
have a great day!!
The diameter of a wheel on harrys bicycle is 0.65m calculate the circumference of the wheel give your answer correct to 2 decimal places
Answer:
Step-by-step explanation:
[tex]C =2\pi r[/tex] and since we have to state the answer to 2 decimal places, that means that we are using the number value for π. In specific, π = 3.1415 is good enough. The other thing we note is that the formula for circumference could also be written in terms of its diameter as opposed to its radius:
C = πd. Let's use that one since we are given the diameter of the tire, not the radius.
C = (3.1415)(.65) so
C = 2.04 m
The circumference of the wheel is C = 2.04 m.
What is area of the circle?Area of a circle is the region occupied by the circle in a two-dimensional plane. It can be determined easily using a formula, A = πr2, (Pi r-squared) where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, etcGiven ,
d = 0.65 m
π = 3.14
Let's use that one since we are given the diameter of the tire, not the radius.
Use this formula , C = πd
C = (3.1415)(.65)
so, C = 2.04 m
Therefore, the circumference of the wheel is C = 2.04 m.
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Determine the period.
N
10
Hello,
f(x+5)=f(x)
Periode is 5
Answer:
It's 4 on acellus, not 5 :)
Step-by-step explanation:
Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?
Answer:
z = 83 / (- c + 6 - t)
Step-by-step explanation:
Given:
-cz+ 6z = tz + 83
z=?
-cz+ 6z = tz + 83
Collect like terms
-cz+ 6z - tz = 83
Factorize
z(- c + 6 - t) = 83
Divide both sides by (- c + 6 - t)
z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)
z = 83 / (- c + 6 - t)
Answer:
Step-by-step explanation:
The area of a wall in a house is 10.37 square metres. If a can of paint covers 3.1 square metres, how many cans of paint are needed to paint the wall?
Answer:
4 cans of paint
Step-by-step explanation:
Take the area of the wall and divide by the area that the can of pain will cover
10.37 / 3.1
3.34516129 cans
We need to round up to make sure we buy enough cans of paint
4 cans of paint
We can take area as,
Area = A
The required formula is,
→ A of wall ÷ A that paint's can will cover
Then find the no. of cans of paint that are needed to paint the wall.
Now use the formula,
→ A of wall ÷ A that paint's can will cover
→ 10.37 ÷ 3.1
→ 3.34516129032
→ 4 cans (by nearest value)
Hence, we need 4 cans to paint the wall.
number of ways you can wear 10 outfits to school each day in a 5 day week
Answer:
1 day=10outfits
5days=10outfits×5
=50outfits
Step-by-step explanation:
hope this is helpful
Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.
How to calculate the number of waysTo calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:
10 outfits/day × 5 days = 50 outfit combinations
Therefore, you can wear the 10 outfits in 50 different ways throughout the week.
Learn more about permutations
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try it, let's see can u do or not
Answer:
Step-by-step explanation:
Answer:
EC=2, AD=2.4
Step-by-step explanation:
Objectives: Similar Triangles. We need to establish the scale factor of the similar triangles, and use that factor to find the missing side length.
The corresponding similar side of the left triangle is AD and AB. AB measure is 4.5 and AD measure is 1.5 so this means that AB is 3 times as long as AD. This also means that for the other sides of the left triangle as well.
AC is 3 times as long as AEBC is 3 times as long as DEUsing this information and what given in the diagram, AC measure is 3 but we need to find EC measure. We can use the addition postulate to find EC.
AE+EC=AC1+EC=3EC=2The same can be done for the triangle on the right. AC is 3 times longer than AE, so this means that AB is 3 times longer than AB using that knowledge, AD measure is 2.4
what is 0.000 008 54 in scientific notation please explain perfectly lollll
Answer:
0.000 008 54 = 8.54 x [tex]10^{-6}[/tex]
Step-by-step explanation:
here is the deal / the rules for scientific notation
1) the number in front of the [tex]10^{x}[/tex] has to be [tex]\geq[/tex] 1 and < 9
that rule is VERY IMPORTANT... [tex]\geq[/tex] 1 and < 9
2) if you move a decimal point to the left the exponent goes up by one
3) if you move the decimal to the right it goes down by one
examples:
314,000,000,000
starting from the right we move the decimal "11" positions to get to
3.14 (notice that I can not stop at 31.4 because that is greater than 10)
so the answer would be 3.14 x [tex]10^{11}[/tex]
your question 0.000 008 54 has to move the decimal SIX positions to
the the right (-6) ... 8.54 x [tex]10^{-6}[/tex]
Question 3
Find the distance from the vertices of AABC to the corresponding vertices of the other three triangles, and enter them in the table. For AJKL
you'll need to use the distance formula d = ( 1-32)+(91 - y2) Verify your calculations using the tools available in GeoGebra
B
I U
Font Sizes
A- A -
PE
E 3 .
v
Original Vertex New Vertex Distance Calculated Distance Using GeoGebra
A
D
B
E
с
F
А
G
B
H
C с
1
А
B
K
С
2
D
A
ES
US 2:43
Cho
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the vertices of the triangles is missing.
However, the following formula can be used to calculate distance;
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Take for instance:
[tex]A = (1,8)[/tex]
[tex]A' = (7,8)[/tex]
The distance between both is:
[tex]d = \sqrt{(1- 7)^2 + (8- 8)^2}[/tex]
[tex]d = \sqrt{(-6)^2 + 0^2}[/tex]
[tex]d = \sqrt{36 + 0}[/tex]
[tex]d = \sqrt{36}[/tex]
Take square root
[tex]d = 6[/tex]
Apply the above steps to the complete question
Answer:
A D 3 3
B E 3 3
C F 3 3
A G 5 5
B H 5 5
C I 5 5
A J 6.4 6.4
B K 6.4 6.4
C L 6.4 6.4
Step-by-step explanation:
PLATO ANSWER
please I need answer right now pleasssseee
only C
C. -3×(-2/3)²
Answer:
-4/3
Step-by-step explanation:
-3 x (-2/3)²
= -3 x (4/9)
= -4/3
what is the answer to this?
Answer:
29
Step-by-step explanation:
43.25-7=36.25
36.25/1.25=29
8.a. Simplify: 10a+46-(3a+2b)
10a+46-(3a+2b)
= 10a + 46 - 3a - 2b
= 7a - 2b + 46
Factor 12y^2 + 5y -2 completely
Answer: (4x-1)(3x+2)
Step-by-step explanation:
do u know how to factor?
Answer: (4y - 1)(3y + 2)
Step-by-step explanation:
[tex]12y^{2} +5y-2\\=(4y - 1)(3y + 2)[/tex]
You can also do it the long way using the quadratic formula:[tex]\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex], where a = 12, b = 5, and c = -2.
What is 8 x 3 + 10 - 13 x 2? Show your work.
Will give first answer brainliest
Hello!
8 × 3 + 10 - 13 × 2 =
= 24 + 10 - 13 × 2 =
= 24 + 10 - 26 =
= 34 - 26 =
= 8
Good luck! :)
Answer:
8
Step-by-step explanation:
According to bdmas rule
First multiply 8 and 3 or 13 and 2
Then, there will be 24 + 10 - 26
Then add 24 + 10, there will be 34
and again minus by 26
Then finally answer will be 8
The price of a colour TV is $ 13440, inclusive of sales tax. If the printed price of the colour TV be $ 12000 then find the rate of sales tax.
Answer:
12%
Step-by-step explanation:
first subtract 12000 from 13440 which is 1440 which is the amount of sales tax. to find the rate you need to find at what percentage was multiplied by. I got 0.12 which means 12 percent sales tax.
Someone help me please if you don’t mind
Answer:
x(3x^ x - 2 x - 1)
Step-by-step explanation:
the answer is
x(3x^2 - 2x - 1)
S.p=315 loss percent =10% c.p=rs=xc.p=?
Given:
S.P. = 315
Loss percent = 10%
To find:
The C.P.
Solution:
Let x be the C.P.
We have,
S.P. = 315
Loss percent = 10%
[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]
[tex]315=x-\dfrac{10}{100}x[/tex]
[tex]315=x-0.1x[/tex]
[tex]315=0.9x[/tex]
Divide both sides by 0.9.
[tex]\dfrac{315}{0.9}=x[/tex]
[tex]350=x[/tex]
Therefore, the cost price (C.P.) is 350.
Help please I’m really stuck.
Answer:
35 miles
Step-by-step explanation:
To get the total number of miles, you add up the value of the X's to get 35 miles. Have a great day!
Mr. Maynard's class is taking a field trip to a science museum. They will be at the museum for 3 hours, and they want to divide their time evenly among the 10 exhibits.
How much time should they spend at each exhibit?
Write your answer as a proper fraction or mixed number.
They have a total time of 3 hours and they equally spend at each exhibit which means that they spent 18 minutes on each exhibit.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the given information in the question,
Total time = 3 hours
Time in minutes = 3 × 60 = 180 minutes
They have 10 exhibits to visit.
The time spent on each exhibit is,
180/10 = 18 minutes on each exhibit.
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At 2:48, what is the degree measure of the smaller angle formed by the hour and minute hands of a 12 hour clock?
Answer:
The smaller angle will be "156°".
Step-by-step explanation:
According to the question,
Before 12, the minute hand at 48 minutes:
= [tex]60-48[/tex]
= [tex]12[/tex] (minutes to 12)
So,
= [tex]12 \ minutes+14 \ minutes[/tex]
= [tex]26 \ minutes[/tex]
hence,
The smaller angle will be:
= [tex]26\times 6^{\circ} \ each[/tex]
= [tex]156^{\circ}[/tex]
Answer:
The angle is 204 degree.
Step-by-step explanation:
The angle turned by minute hand in 1 minute is 6 degree
The angle turned by the hour hand in 1 hour is
For the hour hand :
The angle turned in 1 hour = 360/12 = 30degree
At 2 : 00 , the angle covered = 30 x 2 = 60 degree
In each minute the hour hand moves = 30 degrees / hour x 1 hour/60 min
= 1/2 degree
So at 2: 48 the hour hand is at 2*30 + 48 * 1/2 = 84 degrees
For the minute hand:
In each minute it turns = 6 degrees
So, at 48 minutes the minute hand is at 48 x 6 = 288 degrees
So, the angle between them is 288 - 84 = 204 degrees
I need help plz help
answer is C. 252 ft^2
split the figure into two pieces and first figure out the rectangle (shown in turquoise).
If you multiply the width and length (18*6) you should get 108.
Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.