Answer:
13 degrees
Step-by-step explanation:
working out is attached
hope it helps:)
Write 240000 in standard form
Answer:
240,000
Step-by-step explanation:
standard form means the way you would write it
There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?
Answer:
0.0152 probability
Step-by-step explanation:
first there are 12 marbles: odds are 2/12 = 1/6
Then, there are 11 marbles: odds are 1/11
So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152
Please give brainliest thanks!
cuanto me da como resultado
Step-by-step explanation:
1) [tex](-4)^2{\cdot}(-4)[/tex]
We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]
[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]
2) [tex](-2)^5{\cdot} (-2)^3[/tex]
Again using above property,
[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]
3) [tex]5^{-3}[/tex]
We know that,
[tex]a^{-x}=\dfrac{1}{a^x}[/tex]
So,
[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]
4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]
Hence, this is the required solution.
The ________ is the distance around a circle.
A. Radius
B. Diameter
C. Circumference
D. area
Answer:
the distance is called the circumference
Find the difference.
100 – (-87)
Answer: 187
Step-by-step explanation:
negative cancels negative so that will turn to positive. (-) x (-) = +
100- (-87)
=
100 + 87
= 187
Answer:
187
Step-by-step explanation:
100 - (-87)
100 + 87
187
PLZ MARK as BRAINLIEST
Simplify the expression:
5(4x - 2)
i need help
Step-by-step explanation:
5(4× - 2)
5x4=20
5×2=10
Answer = 20x - 10
Answer:
20x-10
Step-by-step explanation:
Simply multiply.
5 × 4X = 20X
5× -2 = -10
Combine both
20X - 10
which statement would be true if you evaluate the expression 15x(465x4)
a. the solution is 5 times as small as 3x(465x4)
b. the solution is 3 times as small as 3x(465x4)
c. the solution is 3 times as large as 5x(465x4)
d. the solution is 3 times as large as 5x(465+4)
Answer:
c. the solution is 3 times as large as 5x(465x4)
Step-by-step explanation:
I assume you are using the letter x as the multiplication sign.
Start with:
15 x (465 x 4)
We know that 15 = 3 x 5
Now we replace 15 with 3 x 5 in the original expression.
15 x (465 x 4) = 3 x 5 x (465 x 4)
Answer: c. the solution is 3 times as large as 5x(465x4)
the graph of y=3x+=4 is
Answer:
Step-by-step explanation:
The answer is B.
It's a line that shows every point that satisfies the equation
y = 3x + 4 which is what I think you meant (but I'm not sure). If I am correct then there are a million possible points that could be the answer to this question.
If I am not correct, leave a comment that tells me so, and I'll revise my answer.
Never mind the question has the right equation. And my answer remains as given.
A North American river otter wants to cross the North Saskatchewan river. It can swim at a speed of 2.75 m/s. In that location, the distance directly across the river is 45.0 m and the current velocity is 2.5 m/s.
a) How much time does the otter take to get to the other side, if it points directly across the river?
Answer:
time=16.3 sec
Step-by-step explanation:
let time taken be x
speed=distance/time taken
2.75=45/x
2.75x=45
x=45/2.75
x=16.36
x=16.3 seconds
The time taken is 16.3 seconds.
What is speed?Speed = Distance/Time
This informs us how slowly or quickly an object moves. It defines the distance traveled divided by the time brought to cover the distance. Speed stands directly proportional to distance and inversely proportional to Time.
Let x be the time taken
speed = distance/time taken
2.75 = 45/x
2.75x = 45
x = 45/2.75
x = 16.36
x = 16.3 seconds
Therefore, the time taken is 16.3 seconds.
To learn more about speed
https://brainly.com/question/21904438
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The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.
Answer: [tex]-6,13[/tex]
Step-by-step explanation:
Given
The sum of the two numbers is 20
and the difference of the two is -6
Suppose, the numbers are x and y
[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]
[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]
[tex]\therefore y=13[/tex]
Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]
What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)? A. 1/2, 1, 3 B. -1, 1, 3 C. -1/2, 1, 3 D. -3, 1/2, -1
Answer:
x=3 x = -1/2 x=1
Step-by-step explanation:
y = (x - 3)(2x + 1)(x - 1)
Set the function equal to zero
0 = (x - 3)(2x + 1)(x - 1)
Using the zero product property
x-3 =0 2x+1 =0 x-1 =0
x=3 2x = -1 x=1
x=3 x = -1/2 x=1
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each
student, one at a time, for 7 of an hour, how many students does she tutor?
3
Answer:
Lauren tutors 42 students in total
Step-by-step explanation:
She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42
Hope it helps:)
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
A standard equation written in slope-intercept form looks like this:
y = mx + b
m is the slope and b is the y-intercept.
First let's identify the y-intercept.
This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.
y = mx - 3
Now let's find the slope.
This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.
We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.
To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.
rise: 2
run: -1
rise/run = 2/-1 = -2
-2 is our slope.
y = -2x - 3
This is your equation.
Hope this helps!
Write an equation for the graph below using its zeros.
Answer:
Step-by-step explanation:
It's a cubic.
It has 1 root that cuts the x axis at x = -4
It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.
y = (x + 4) (x - 3)(x - 3)
Notice the sign change. x has to have sign change when going from a root to a binomial
The root is - 4. The binomial is (x + 4)
The same argument works for x = 3
The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?
y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)
Given:
The image of a lens crosses the x-axis at –2 and 3.
The point (–1, 2) is also on the parabola.
To find:
The equation that can be used to model the image of the lens.
Solution:
If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.
It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.
So, the equation of the parabola is:
[tex]y=k(x+2)(x-3)[/tex] ...(i)
Where, k is a constant.
It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).
Putting [tex]x=-1, y=2[/tex] in (i), we get
[tex]2=k(-1+2)(-1-3)[/tex]
[tex]2=k(1)(-4)[/tex]
[tex]2=-4k[/tex]
Divide both sides by -4.
[tex]\dfrac{2}{-4}=k[/tex]
[tex]-\dfrac{1}{2}=k[/tex]
Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get
[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]
Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].
Note: All options are incorrect.
Write an equation to represent the relationship between x and y:
Answer:
y = 1/3 x - 1
Step-by-step explanation:
use slope formula then substitute an x and y and the m to find b
y=mx+b
Solve for x in this equation.
7^3x-17 = 49^x
Answer:
X = 17
Step-by-step explanation:
If you created equivalent expressions with equal bases that should be the answer.
Find the length of AB pls and thank you
Answer:
x=4
AB=19
Step-by-step explanation:
in such a parallelogram the length of AD must be equal to the length of BC.
=>
18x = 17x + 4
x = 4
AB = 4x + 3 = 4×4 + 3 = 19
The graph represents the piecewise function:
100 POINTS !!!
Find the missing side. Round to the nearest tenth. X=?
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
which equation has x=4 as the solution
Find the surface area of the figure using its net
The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Answer: [tex]\dfrac{6}{26}[/tex]
Step-by-step explanation:
Given
Denominator is 4 more than twice its numerator
Suppose the numerator is x. So, it follows above condition, fraction becomes
[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]
If both numerator and denominator are reduced by 6, they become equal
[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]
The fraction is
[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]
what is the possibility of a two sided coin flipped and lands on tails?
Answer:
Step-by-step explanation:
it has a 50/50 chance if it lands on tailes it is 50/50
land value is increased by 12 % in each year in 2016 , the value is $60000.
i )what us the land value after 4 years
ii) Calculate the increase of the land value during these 4 years.
Answer:
I=use PTR/100
ii =p+i
Step-by-step explanation:
hope you like it
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
Given m || n, find the value of x and y
X = 21
Y = 30
X:
(3x - 15) + (6x + 6) = 180 -- combine like terms
9x - 9 = 180 -- add 9 to both sides
9x = 189
x = 21
Y:
Plug x into 3x-15
3(21) - 15 = y + 18
63 - 15 = y + 18
48 = y + 18 -- subtract 18 from both sides
y = 30
The heights of male students are normally distributed with a mean of 158 cm and a
standard deviation of 5 cm.
Find the percentage of male students who are between 145 cm and 170 cm.
Round your
answers to the nearest hundredths.
Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%
Step-by-step explanation:
Let x denotes the height of male students.
As per given,
[tex]\mu=158,\sigma=5[/tex]
The probability of male students who are between 145 cm and 170 cm
= [tex]P(145<X<170)[/tex]
[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]
Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answer:
Step-by-step explanation:
Given m||n, find the value of x.
(7x-4)
(3x+28)º
Answer:
8
Step-by-step explanation:
7 x 8 = 56 56 - 4 = 52.
3 x 8 = 24 24 + 28 = 52