Step-by-step explanation:
A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguements. Im general,a theorem is a embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem th be correct is called a proof
Which of the following equations could be that of the ellipse graphed below?
Answer:
A
Step-by-step explanation:
Which equation can be used to find one multiple of 16?
o 16=8=2
o 16 = 4= 4
O 16 x 0 = 0
O 16 x 2 = 32
Answer:
16x2=32
Step-by-step explanation:
A multiple of 16 means any number divisible by 16. Multiplying 16 by 2 makes a number divisible by 2 and 16, therefore being a multiple of 16.
Hope this helps!
Answer:
16 × 2 = 32
Step-by-step explanation:
The multiples are the products of a number.
The multiples of 16 are 16,32,48,64,80,96,112,128..
16 × 2 = 32
32 is a multiple of 16.
Please help me with this math problem
Answer:
18vw²y^9 + 24v^6w^5
= 6vw²( 3y^9 + 4v^5w³)
Hope this helps.
Answer:
6vw^2(3y^9 + 4v^5w^3)
Step-by-step explanation:
If you were to multiply the equation 6vw^2(3y^9 + 4v^5w^3) then the result would be
18vw^2y^9 + 24v^6w^5
Hope this helps!
1st. (2 root 2 + root 3 ) ( 2 root 3 - root 2) 2nd.(root 5 + 2 root 10) (3 root 5 + root 10) 3rd.(4 root 6 - 3 root 3) (2 root 3 - 5) 4rd. (6 root 3 - 5 root 2 ) (2 root 2 - root 3) 5th. (root 10 - 3 ) ( 4 - 3 root 10)
Answer:
1. 3√6 + 10
2. 35 + 7√50
3. 24√2 - 20√6 + 15√3 - 18
4. 17√6 - 38
5. 13√10 - 42
Step-by-step explanation:
The questions are in surd form.
1. (2√2 + √3)(2√3 - √2)
open the parenthesis by multiplying both together .
4√6 + 4 + 6 - √6
3√6 + 10
2. (√5 + 2√10)(3√5 + √10)
15 + √50 + 6√50 + 20
35 + 7√50
3. (4√6 - 3√3)(2√3 - 5)
8√18 - 20√6 - 18 + 15√3
8√9 × 2 - 20√6 - 18 + 15√3
24√2 - 20√6 + 15√3 - 18
4. (6√3 - 5√2)(2√2 - √3)
12√6 - 18 - 20 + 5√6
17√6 - 38
5 (√10 - 3)(4 - 3√10)
4√10 - 30 - 12 + 9√10
13√10 - 42
anil completes the 72km journey from bristol to cardif in 48 mins the then drives 69km to swansea from cardif at an average speed of 60km/h work out anils average speed (in km/h) for this total journey from Bristol to Swansea plz help
Answer:
72.3
Step-by-step explanation:
(72+69)/1,95
Answer:
72.3
Step-by-step explanation:
The area of the triangle below is ____ sq. units.
Answer:
B
Step-by-step explanation:
The area of a triangle is half the product of the length of the base and the height of the triangle. In this case, this would be 3*22/2=3*11=33 square units, or answer choice B. Hope this helps!
The area of the triangle below is 33 sq. units
Right angle triangle A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangled triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.How to solve thus problem?The steps are as follow:
The formula to find the area of triangle is as follow:Area of triangle = (1/2) x b x h
where;
b = base of triangle = 22 units
h = height of triangle = 3 units
So the area of given triangle will be as follow:Area of triangle = (1/2) x 22 x 3
Area of triangle = 11 x 3
Area of triangle = 33 sq. units
So , The area of the triangle below is 33 sq. units
Learn more about Right angle triangle here:
https://brainly.com/question/17972372
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Which table represents a linear function?
Q1. Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint of the points A and B (iii) Find the distance between points A and B.
Answer:
Slope = [tex]-\frac{1}{6}[/tex]
M(x,y) = (1 , 8.5)
D = [tex]\sqrt{37}[/tex]
Step-by-step explanation:
(i) Slope = [tex]\frac{rise}{run}[/tex]
=> Slope = [tex]\frac{8-9}{4+2}[/tex]
=> Slope = [tex]-\frac{1}{6}[/tex]
(ii) Midpoint
M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
M(x,y) = [tex](\frac{-2+4}{2} , \frac{9+8}{2} )[/tex]
M(x,y) = (1 , 8.5)
(iii) Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(4+2)^2+(8-9)^2}[/tex]
D = [tex]\sqrt{(6)^2+(-1)^2}[/tex]
D = [tex]\sqrt{36+1}[/tex]
D = [tex]\sqrt{37}[/tex]
Answer:
Step-by-step explanation:
(i) Find the slope of the line l.
m= rise/run
= (y2-y1)/(x2-x1)
= (8-4)/(9-(-2))
= (8-4)/(9+2)
= 4/11
Gradient= 4/11
(ii) Find the coordinates of the midpoint of the points A and B
Midpoint=( (x1+x2)/2 , (y1+y2)/2)
=( (-2+9)/2, (4+8)/2)
=( 7/2, 12/2)
= (3.5, 6)
(iii) Find the distance between points A and B.
Distance= √(〖( x2-x1)〗^2+〖(y2-y1)〗^2 )
= √(〖( 9-(-2))〗^2+〖(8-4)〗^2 )
=√(〖(9+2)〗^2+〖(4)〗^2 )
=√(〖( 11)〗^2+〖(4)〗^2 )
=√(121+16)
=√137
=11.704
Please answer ASAP !!
Answer:
Blueberry pie: $10
Blackberry pie: $12
Step-by-step explanation:
We can use system of equations for this problem. Let's use x for blueberry and y for blackberry.
Equation 1
8x+8y=176
This equation comes from how mush Heather sold.
Equation 2
8x+10y=200
This equation comes from how mush Kim sold.
We can use elimination method to find the value of y.
-2y=-24
y=12
Now, we know that a blackberry pie costs $12. We can plug this back into any of the equaitons above to find the price of a blueberry pie.
8x+10(12)=200
8x+120=200
8x=80
x=10
We know that a blueberry pie costs $10.
14. Suppose that 1 out of every 10,000 doctors in a certain region is infected with the SARS virus; in the same region, 20 out of every 100 people in a particular at-risk population also are infected with the virus. A test for the virus gives a positive result in 99% of those who are infected and in 1% of those who are not infected. A randomly selected doctor and a randomly selected person in the at-risk population in this region both test positive for the disease. Who is more likely to actually have the disease?
Answer:
The person in the at-risk population is much more likely to actually have the disease
Step-by-step explanation:
The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).
The probability that a doctor is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}[/tex]
The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).
The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:
[tex]P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962[/tex]
Therefore, the person in the at-risk population is much more likely to actually have the disease
We can calculate the depth ddd of snow, in centimeters, that accumulates in Harper's yard during the first hhh hours of a snowstorm using the equation d=5hd=5hd, equals, 5, h. How many hours does it take for 111 centimeter of snow to accumulate in Harper's yard?
Answer:
0.2 hours
Step-by-step explanation:
The depth, d of snow (in cm) that accumulates in Harper's yard during the first h hours of a snowstorm can be calculated using the equation:
d=5h
When d=1cm, we want to determine the value of h.
1=5h
h=1/5=0.2
Therefore, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answer:
Meena's is 5 and her father is 30
Step-by-step explanation:
x+5+6x+5=2x+6x+5
x+6x-2x-6x=5-5-5
-x =-5
x =5 Meena
6*5
=30 Her father's age
Have a good day and stay safe!
Vito is reading a historical fiction novel about Nelson Mandela for his literature class. He needs to identify a theme from the novel. Which statement is an example of a theme?
Politicians can become very famous.
Mandela served as president of South Africa for five years.
Challenges can be overcome through hard work and persistence.
Mandela encouraged peace in his country while he was president.
Answer:
In Nelson Mandela's family he was the first to receive a formal education. At that time, very few black kids attained high school education in South Africa.
Anyone!!! Please need this asap
Answer:
angle 3 = angle 6
angle 1 = angle 5
angle 2 + angle 5 + angle 6 = 180°
Answer:
Step-by-step explanation:
1+1=2
2+8=10
10-7=3
3
Which two-dimensional shapes are needed to build the pentagonal prism shown below?
Answer:
Option C
Step-by-step explanation:
2 pentagons and 5 rectangles are needed to build this pentagonal prism!
The two-dimensional shapes needed to build the pentagonal prism are 2 pentagons and 5 rectangles.
It has 2 congruent cross-sections that are pentagons, the other 5 faces are rectangles.
Which equation is equivalent to
[tex] {4 }^{x + 3} = 64[/tex]
= 64?
Your lawn mower mows a lawn in 1.5 hours. When your friend's lawn mower is used together with your lawn mower, the lawn is mowed in 0.5 hours. How long (in hours) does it take your friend's mower to mow the lawn when working alone?
Answer:
My friend's mower will take approximately 0.75 h to mow the lawn alone.
Step-by-step explanation:
To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:
[tex]speed = \frac{distance}{time}[/tex]
Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:
[tex]x = \frac{lawn}{1.5}[/tex]
When my friend's mower does the job, its speed "y" can be seen as:
[tex]y = \frac{lawn}{time}[/tex]
When both work together the speed can be seen as:
[tex]x + y = \frac{lawn}{0.5}[/tex]
Applying the first two equations on the second, gives us:
[tex]\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75[/tex]
My friend's mower will take approximately 0.75 h to mow the lawn alone.
take my pointpointWhich day was the weather forecast most accurate?
Forecast vs Actual Temperature
Day
Degrees above (+) or
below (–) forecast
Monday
+4
Tuesday
–6
Wednesday
+7
Thursday
–2
Monday
Tuesday
Wednesday
Thursday
Answer:
B
Step-by-step explanation:
Answer:
Tuesday
Step-by-step explanation:
Also need help with this one too please
Answer:
b=18
a=6√18
Step-by-step explanation:
tan 45=b/18
by cross multiply
b=tan 45×18
=1×18
=18
find (a) by using pythagora's theorem
a^2=18^2+18^2
=324+324
a^2=648
take square root both sides
√a^2=√648
a=√36×18
a=6√18
I NEED HELP ASAP Which equation is equivalent to: −10r−6=115
A. 10r=−115+6
B. −10r=115+6
C. −10r=115−6
D. 10r=115−6
The area of a rectangle, A = l • w is represented by the expression 24x6y15. Which could be the dimensions of the rectangle?
Answer:
l=[tex]24\*x^{6}[/tex]
w=[tex]y^{15}[/tex]
Step-by-step explanation:
We know that the area of rectangle can be determined by the multiply the length to the width i.e
A = l • w..................Eq(1)
Here A represented the area .
l= Length of rectangle
w= Width of rectangle
Here A= [tex]24x^{6} y^{15}[/tex]...
It can be written as [tex]A= 24x^{6} \ *y^{15}[/tex]..............Eq(2)
Comparing the Eq(2) to the Eq(1)
[tex]l=24x^{6}\\ w=y^{15}[/tex]
Answer:
the right answer A. 2x^5y^8 and 12xy^7
Step-by-step explanation:
In a village, the cases of a particular infectious disease have been exponentially decreasing at a rate of 80% per year since the people started receiving the vaccine. If there were 200 cases in the village to start with, predict the number of cases after 2 years.
Answer:
8
Step-by-step explanation:
Exponential decay is expressed by an equation of the form:
A = P(1 - r)^t
where P = initial value, r = annual rate of decay, t = time in years
A = 200(1 - 0.80)^2
A = 8
Answer:100(1-0.90)2 =1
Step-by-step explanation:
Just did it in acellus
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Us
to the nearest whole number.
14 in.
14 in.
1 5 in.
17
Answer:
Can you show a picture?
Step-by-step explanation:
Thanks.
On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8). What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x? (10, –2) (–10, 2) (–2, –10) (2, 10)
Answer:
(10, -2)
Step-by-step explanation:
Reflection in the line y=x causes the x- and y-coordinates to be swapped.
For A'(-2, 10), the coordinates of A are (10, -2).
Answer:
A. (10, –2)
May I have brainliest please? :)
54:56
Which table shows a constant of proportionality of 2 for the ratio of string instruments to percussion instruments?
String
2
4
B
Percussion
3
6
9
String
2.
4
6
Percussion
5
10
15
String
2
4
6
Percussion
1
2
3
String
2
4
B
Percussion
4
8
12
Mark this and return
Save and Exit
Next
Sub
Answer:
String
2.
4
6
Percussion
5
10
15
Step-by-step explanation:
I really need help on this please :)
Answer:
1
Step-by-step explanation:
0¹ =1
0² =1
0³ =1
0²+³ =1
0⁵ =1
ergo any power of zero is 1
PLEASE ANSWER ASAP!!!!! DONT NEED much explanation How many solutions does this system have? (photo below)
Answer:
infinite solutions
Step-by-step explanation:
Multiply the first equation by 2
2(3x-5y) = 2*15
6x - 10y = 30
This is the same as the second equation
They are the same line
This means there are infinite solutions
The graph represents this system of equations: 2 x plus y equals 3. 2 x minus 5 y equals 15. A coordinate grid with 2 lines. One line passes through (0, 3) and (1.5, 0). The other line passes through (0, negative 3) and (2.5, negative 2). What is the solution to the system of equations represented by the graph?
A. (0, –3)
B. (1, 1)
C. (1.5, 0 )
D. (2.5, –2)
Answer:
D.
Step-by-step explanation:
The solution to your systems of equations are when the 2 lines intersect.
Answer:
c ,3,1
Step-by-step explanation:
What is the product of 6x – y and 2x – y + 2?
Answer:
12x^2 - 8xy + y^2 + 12x - 2y
Step-by-step explanation:
£10 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Gordon get?
Answer:
£6
Step-by-step explanation:
Let the amount Paul gets be p.
Let the amount Malachy gets be m.
Let the amount Gordon gets be g.
Therefore:
p + m + g = 10 __________(1)
Gordon gets twice as much as Malachy, therefore:
g = 2m
Malachy gets 3 times as much as Paul, therefore:
m = 3p ____________(2)
=> g = 2(3p) = 6p _________(3)
Put 2 and 3 in 1:
p + 3p + 6p = 10
10p = 10
p = 10/10 = £1
Putting this value in (3):
g = 6 * 1 = £6
Gordon gets £6.
