Answer:
There are 24 outcomes in the sample space.
Step-by-step explanation:
Suppose that we have some events, such that each one of these events has a given number of outcomes.
If we have an experiment where we perform all of these events, the total number of possible outcomes is equal to the product between the number of outcomes for each one of the events.
Let's apply this to our case.
Here we have two events:
Rolling a standard number cube: 6 outcomes
Spinning a spinner with 4 equal sections: there are 4 outcomes.
Then the total number of outcomes in the sample space is the product:
C = 6*4 = 24 outcomes.
There are 24 outcomes in the sample space.
how much work is done when you lift an object that weighs 150 N to a height of 5 meters
Answer:
Work done = 150 x 5 = 750 J
Step-by-step explanation:
Work done is the measure of energy transferred to an object when a force is added causing the object to move a distance in the direction of the force.
The equation for work done is force time the distance and is measured in Joules. Therefore the formula is W = F x D
work done (W) is measured in joules (J)
force (F) is measured in newtons (N)
distance (d) is in the same direction as the force and is measured in
metres (m)
W = F x D
w = 150 x 5
W = 750 J
Helppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeee
Answer:
1/ 3^6
Step-by-step explanation:
We know that a^b / a^c = a^(b-c)
3^-7 / 3^-1 = 3^(-7 - -1) = 3^(-7+1) = 3^(-6)
We know that a^ -b = 1/ a^b
3^-6 = 1/ 3^6
WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!
Holly has $125. She spends $35 on gas for her car. Which model represents how
much money Holly has left?
Answer:
160 is the answer pls mark me as brainlist
Answer:
3rd model
Step-by-step explanation:
Well 125-35=90 and the 3rd model shows 125-35=90 so the correct answer is the t3rd model
Which is equivalent to7^(3/2) over 7^(1/2)?
A. 7^(1/3)
B. 7^(3/4)
C. 7^1
D. 7^2
E. 7^3
Given the expression below:
[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } }[/tex]
Use the following property:
[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]
Therefore:
[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } = \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } } \\ \large{ \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } = \frac{ \sqrt{7 \times 7 \times 7} }{ \sqrt{7} } \longrightarrow \frac{7 \sqrt{7} }{ \sqrt{7} } } \\ \large{ \frac{7 \cancel{ \sqrt{7} }}{ \cancel{ \sqrt{7} }} = 7}[/tex]
Note that a¹ = a. Therefore, 7¹ = 7.
Answer
7¹ or 7.The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of RT and R1, what is R2 R2 blank is ohms
[tex]R_2[/tex] is 3 ohms
Step-by-step explanation:In a circuit containing two resistors [tex]R_1[/tex] and [tex]R_2[/tex] connected together in parallel, the total resistance [tex]R_T[/tex] is given by;
[tex]\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}[/tex] ---------(i)
Make [tex]R_2[/tex] subject of the formula;
=> [tex]\frac{1}{R_2} = \frac{1}{R_T} - \frac{1}{R_1}[/tex]
=> [tex]\frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}[/tex]
=> [tex]{R_2} = \frac{R_TR_1}{R_1 - R_T}[/tex] ---------------(ii)
From the question,
[tex]R_1[/tex] = 6Ω
[tex]R_T[/tex] = 2Ω
Substitute these values into equation (ii) as follows;
=> [tex]{R_2} = \frac{2*6}{6 - 2}[/tex]
[tex]{R_2} = \frac{12}{4}[/tex]
[tex]R_2[/tex] = 3Ω
Therefore, the value of [tex]R_2[/tex] = 3 ohms or [tex]R_2[/tex] = 3Ω
Answer: is 3 ohms.
Explanation: edmentum/plato :)
Help me pls
this is very important
Answer:
C/3rd one. (y=2x+4)
Step-by-step explanation:
In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.
2. Dado un número, la suma de su mitad, su doble y su triple es 55. ¿Qué número es?
Answer:
English
Step-by-step explanation:
can you speak English plzzz
we need that
Answer:
i dont speak taco ask again in english
Step-by-step explanation:
In the diagram, PN is perpendicular bisector of AB and is also the ange bisector of
If θ is in standard position and -180° < θ <-90°, then θ terminates in Quadrant _____.
Answer:
Quadrant III
Step-by-step explanation:
-180° is a 180° rotation clockwise, which will end up between Quadrant II and III. -90° is a 90° rotation clockwise, which will end up between Quadrant III and Quadrant IV. The range of possible angles are contained in Quadrant III, in conclusion.
What is the area of the polygon given below?
Answer:
C, which is 340!
Step-by-step explanation:
Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)
The area of polygon = 340 square units.
How to estimate the area of the polygon?Area of rectangle = Length [tex]\times[/tex] [tex]\tmes[/tex]breadth
Area of rectangle (side A) = 19 [tex]\times[/tex] 4 = 76
Area of rectangle (Side B) = 24 [tex]\times[/tex] 14 = 264
To estimate the area of the polygon, add both of the equations then we get
Area of the polygon
= Area of a rectangle (side A) + Area of a rectangle (Side B)
= 76 + 264
Area of the polygon = 340 square units.
Therefore, the correct answer is option C. 340 square units.
To learn more about polygon
https://brainly.com/question/20110859
#SPJ2
Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.
answer is
B. 6√2
hope this helps!
find the area of the figure below
A.832in^2
B.768^2
C.416^2
D.384in^2
somebody help me out !
Answer:
224
Step-by-step explanation:
Hello!
To find f(-7) you simply plug the value, -7, into the function.
This will get you:
f(-7) = 4(-7)^2 - 4(-7)
Remember that the square of a negative number is a positive! Also, remember to use the order of operations (PEMDAS)!
This will get you:
f(-7) = 4(49) - 4(-7)
f(-7) = 196 - (-28)
f(-7) = 224
Hope this helps!
Find the greatest common factor of 28a^3 , 12a^4 and 26a^5
Answer:
2a³
Step-by-step explanation:
2a³ can divide all these without living a remainder
x°
1
63°
m
n
find the value of x
Answer:
I believe its 63°......,.,..,.,.,.,
choose the pair of sets which is equivalent
Answer:
set ={Sunday,Monday,Tuesday,Wednesda,Thursda,Friday, Saturday} and set={1,2,3,4,5}
Step-by-step explanation:
To be equivalent, the sets should have the same cardinality.two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die
Answer:
S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36
E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15
Step-by-step explanation:
thats the answer
Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?
Answer:
11 unit
Step-by-step explanation:
Applying,
s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1
Where s = length of the side formed.
From the question,
Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5
Substitute these values into equation 1
s = √[(9+2)²+(5-5)²]
s = √(11²)
s = 11 unit.
Hence the length of the side formed by the vertices is 11 unit
Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.
y⋅5y+2
Answer:
-10
Step-by-step explanation:
y-5y+2
=3-5 x 3+2
Using the rule of BODMAS
=3-15+2
=3-13
= -10
OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱The organizers want the zip line to have two platforms (towers / anchors). The first platform (on the higher ground) should be about 50 m away from the second platform. The slope length from the top of platform one to the top of platform two should be about 70 m. What would be the angle of depression from platform one to two to the nearest degree?
Answer:
The angle if depression is 44.4 degree.
Step-by-step explanation:
horizontal distance, d = 50 m
slope length, L = 70 m
The angle of depression is given by
[tex]cos\theta=\frac{d}{L}\\\\cos \theta = \frac{50}{70}\\\\cos \theta = 0.714\\\\\theta = 44.4^o[/tex]
What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6
Answer:
OA . -6
Step-by-step explanation:
correct me if I'm wrong
what is factorial of 100
Answer:
9.332621544^157
Step-by-step explanation:
formula to calculate factorial : n×(n-1)×(n-2)×(n-3)...3×2×1
So,
100×(100-1)(×100-2)×(100-3)...3×2×1
100×99×98×97×3×2×1
=564,656,400 Answer
Find the value of angle y
Answer:
116
Step-by-step explanation:
116 is parallel to y so that are the same its called corresponding angles
When a transversal cuts two parallel lines, the corresponding angles are equal.
In the given figure, the corresponding angles are 116° and y
So, they are equal
⇒ y = 116°
Find the y-intercept of the quadratic function: g(x) = 5х2 + 9x + 4 о (0, 18) (4.0) ООО (0.4) (0,5)
Answer:
(0,4)
Step-by-step explanation:
Here, we want to find the y-intercept of the quadratic function
g(x) = 5x^2 + 9x + 4
Mathematically, we know that the y-intercept is the position on the graph where we have x = 0
so, to find the y-intercept value, we have to find g(0)
simply put, we have to substitute the value of 0 for x
Mathematically, we have this as;
g(0) = 5(0)^2 + 9(0) + 4
g(0) = 0 + 0 + 4
g(0) = 4
thus, we have the y-intercept point as (0,4)
what number represents the same amount as 4 tens+0 ones
Anyone know the answer to this?
Answer:
Diameter : 22.568 cm
Step-by-step explanation:
Hope this Helps!
MARKING BRAINLIEST HELP PLS
Answer:
R(x) = 3.5x
Step-by-step explanation:
In economics, formula for total revenue is;
Total revenue = quantity sold × price.
In this question;
Let he quantity of drinks sold be x
We are told that the selling price is $3.50 per drinks
Since quantity is "x", then total revenue can be said to be R(x)
Thus;
Total revenue; R(x) = x × 3.50
R(x) = 3.5x
?????????????????????
Answer:
[tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
So, there are a few things we need to go over to graph a function,
When a number is outside of a root, it changes the y value. For example:
y=[tex]\sqrt{x}+6[/tex]
With the +6, y will always be 6 higher than normal.
If it was -6, then y will always be 6 lower than normal.
What if the number is inside the root? Well, it works a little differently.
Instead of changing the y value, it changes the x value. For example:
y=[tex]\sqrt{x+6}[/tex]
So if you put a number in for x, lets say -6, wht would you get?
You would get -6+6=0
The square root of 0 is 0, so when x=-6, y=0
Normally, x would have to equal 0 for the y value to be 0.
So basically, when we see the number isnide of the root, we can think the our x coordinate being subtracted by that number.
This makes since, because if we subtract the +6 from x:
x-(+6)= x-6, and -6 is our x coordinate.
If it was -6 at the start, this would also work:
x-(-6)= x+6. So our x coordinate would start at 6.
Now, lets look at our graph.
As we can see, the x values start at -6, and the y values starts at 0.
This eliminates A and D, since the +6 would change the y value, not the x.
Remember that x-6 would make x a postive 6.
x+6 however, would make x a negative 6.
So we need x+6 in a square root.
This eliminates B, since it has a x-6, making the x coordinate postive 6, not negative 6.
So c is our answer.
Hope this helps!
How do you ratify the denominator for 2/ 2(sqrt2)? When I multiply by sqrt2/sqrt 2 I'm still left with a radical in the denominator.
Answer: [tex]\dfrac{\sqrt{2}}{2}[/tex]
Step-by-step explanation:
Given
The fraction is [tex]\dfrac{2}{2\sqrt{2}}[/tex]
Making denominator a number, multiply and divide by [tex]\sqrt{2}[/tex]
[tex]\Rightarrow \dfrac{2}{2\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\\Rightarrow \dfrac{2\sqrt{2}}{2\sqrt{2}\times \sqrt{2}}=\dfrac{2\sqrt{2}}{2\sqrt{2\times 2}}\\\\\text{cancel out the common term 2}\\\\\Rightarrow \dfrac{\sqrt{2}}{2}[/tex]
