Answer:
39
Step-by-step explanation:
A bag contain four black B) and
three R balls. The ball drawn from
the bag, without replacement. Find the
Proberbility of drawing the balls in
the Order B,R B,R B,R and B
Answer:
6912 / 823,543 or approximately 0.8%
Step-by-step explanation:
4 black
3 red
7 total
P(B) = 4/7
P(R) = 3/7
4/7 x 3/7 x 4/7 x 3/7 x 4/7 x 3/7 x 4/7 = 6912 / 823,543
You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?
Answer:
22 grams
Step-by-step explanation:
loses 50% of it's mass per 22 years
so after 22 years the mass would be 44 grams
22 years later would leave 50% of 44 grams = 22 grams
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]
A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,-4). What is the vertex of the function defined as g (x) =f(x+5)?
Answer:
(-2, -4)
Step-by-step explanation:
y = f(x) = ax²+bx +c
given the vertex is (3, -4)
=> the symetry axis: x = 3
x = -b/2a = 3
so, -b = 6a => b = -6a
the function f(x) = x²-6x + 5
g(x) = f(x+5)
g(x) = (x+5)²-6(x+5)+5
g(x) = x²+10x+25-6x-30+5
g(x) = x²+4x
=> a=1, b=4
find the vertex of the function g :
the symetry axis: x= -4/2(1) => x = -2
y = g(-2) = (-2)²+4(-2)= 4-8 = -4
so, the vertex is (-2, -4)
Answer:
(-2, -4)Step-by-step explanation:
Vertex form of a quadratic function:
f(x) = (x - h)² + kWe have (h, k) = (3, -4)
The function f(x) is:
f(x) = (x - 3)² - 4The function g(x) is:
g(x) = f(x + 5) =
(x + 5 - 3)² - 4 =
(x + 2)² - 4
Vertex of g(x) is:
(-2, -4)The following is a parallelogram solve for the variables
Answer:
x = 51, y = 17
Step-by-step explanation:
Consecutive angles sum to 180° , so
x + 129 = 180 ( subtract 129 from both sides )
x = 51
-------------------------------------
Opposite angles are congruent, so
3y = x = 51 ( divide both sides by 3 )
y = 17
Step-by-step explanation:
x + 129° = 180°
x = 180°- 129°
x = 51°
3y + 129° = 180°
3y = 180° - 129°
3y = 51°
y = 51°/3
y = 17°
i’m so confused on how to do it
Answer:
785.4
Step-by-step explanation:
The formula to find the surface area of a cylinder is
2* pi* radius* height + 2* pi* 2radius.
2( 3.14) (5) (20)= 628
2 (3.14* 5*5)= 157
628+ 157= 785.
Solve for x and show your work
Answer:
x = -5
Step-by-step explanation:
50 = x+55
50 - 55 = x
-5 = x
Pls I need help with this
Answer:
third side = 4
Step-by-step explanation:
third side is hypoenuse as it is opposite to 90 degree.
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotenuse)^2
2^2 + (2[tex]\sqrt{3[/tex] )^2 = hypotenuse^2
4 + 4*3 = hypotenuse^2
16 = hypotenuse^2
[tex]\sqrt{16}[/tex] = hypotenuse
4 = hypotensue
what is the length of side x in the above right triangle
Answer:
4
Step-by-step explanation:
b² - a² is the formula
5² - 3²
16
√16
= 4
i need helppp helpp me pleaseeeee!!
Answer:
y = 6
Step-by-step explanation:
Answer:
i helped
Step-by-step explanation:
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
simplify 26a+4a-10a
Answer:
20a
Step-by-step explanation:
26a+4a-10a=30a-10a=20a
Answer:
20a
Step-by-step explanation:
26a+4a-10a
since they are like terms u can add and subtract them
=30a-10a
=20a
Solve -33 < 12x + 15 99.
The distance from the center of a Ferris Wheel to a person who is riding is 25 feet. What Distance does a person travel if the Ferris wheel rotates through an angle of 4.1 radians? Round your answer to nearest tenth of a foot
Answer:
322.0 ft
Step-by-step explanation:
d = ∅r
d = 4.1 π * 25
d = 322.013246993
Rounded
322.0 ft
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.
Write 240000 in standard form
Answer:
240,000
Step-by-step explanation:
standard form means the way you would write it
Which ordered pairis a solution to the system of inequalities graphed here
Answer:
B. (1,4)
Step-by-step explanation:
If you go over to the right by 1 and up by 4 the point will land inside the blue, hence it is the answer since the rest do not land inside the blue.
If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?
In the rectangle below, EI = 2x+6, FI = 5x-6, and m ZIFE = 49º.
Find E G and m ZIGF.
E
F
m ZIG
H
G
Answer:
gdfhddfdhgbg
Step-by-step explanation:
I need help with this problem pls help!
PLEASE HELP: Evaluate tan^2θ for θ = 60°
1/3
3/4
1
3
Answer:
3
Step-by-step explanation:
tan 60 = root(3)
tan² 60 = {root (3)}²
tan² 60 = 3
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
if 5x-26=x+50, then what is the value of x
Answer:
x = 19
Step-by-step explanation:
5x - 26 = x + 50
Subtract x on both sides of the equation.
4x - 26 = 50
Add 26 on both sides.
4x = 76
Now, divide by 4 on both sides.
x = 19
Answer:
x = 19
Step-by-step explanation:
5x-26=x+50
5x = 76 +x
4x = 76
x = 19
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.
Which is equal to –214°? Negative StartFraction 107 pi Over 180 EndFraction radians Negative StartFraction 107 pi Over 90 EndFraction radians Negative StartFraction 107 pi Over 50 EndFraction radians Negative StartFraction 107 pi Over 45 EndFractionradians
Answer: 1. equal to - having the requisite qualities for; "equal to the task"; "the work isn't up to the standard I require" adequate to, up to, capable.
Step-by-step explanation:Glad Too Help :))
Answer:
B
Step-by-step explanation:
Karen is at least 4 years more than twice mary's age (m). Karen is 46 years old. Write a simplified inequality that represents marys age answer
Answer:
46 ≥ 2m + 4
m ≥ 21
Step-by-step explanation:
At least is ≥
Karen's age = 46 years old
Mary's age = m years old
Karen is at least 4 years more than twice mary's age (m).
46 ≥ 2m + 4
46 - 4 ≥ 2m
42 ≥ 2m
m ≥ 42/2
m ≥ 21
Ranking brainliest if correct !!!
Answer:
Step-by-step explanation:
An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?
Answer:
The author sold a total of 30240 books following this trend.
Step-by-step explanation:
Let's find 5% of 14400 first;
14400 * 5%
14400 * 5/100
144 * 5
720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)
=> aₙ = a₁ + r(n - 1)
=> a₂₃ = 14400 + 720(23 - 1)
=> a₂₃ = 14400 + 720(22)
=> a₂₃ = 14400 + 15840
=> a₂₃ = 30240
Hope this helps!
The author sold a total of 30240 books following this trend.
Let's find 5% of 14400 first;
[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]
What is an arithmetic progression?A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.
So using the arithmetic progression we have:
[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]
See more about arithmetic progression at brainly.com/question/20385181
Solve 270=3e^2.4K to the nearest hundredth
If you can solve this for me could you please give steps so I can understand, please and thank you so much!
Given:
The equation is:
[tex]270=3e^{2.4K}[/tex]
To find:
The solution for the given equation to the nearest hundredth.
Solution:
We have,
[tex]270=3e^{2.4K}[/tex]
Divide both sides by 3.
[tex]\dfrac{270}{3}=e^{2.4K}[/tex]
[tex]90=e^{2.4K}[/tex]
Taking ln on both sides, we get
[tex]\ln (90)=\ln e^{2.4K}[/tex]
[tex]\ln (90)=2.4K[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 2.4.
[tex]\dfrac{\ln (90)}{2.4}=K[/tex]
[tex]\dfrac{4.4998}{2.4}=K[/tex] [tex][\because \ln (90)\approx 4.4998][/tex]
[tex]1.874916667=K[/tex]
Round the value to the nearest hundredth (two decimal place)
[tex]K\approx 1.87[/tex]
Therefore, the value of K is 1.87.
The graph represents the piecewise function:
100 POINTS !!!