Answer:
A. 1/2
Step-by-step explanation:
For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.
Therefore, the experimental probability of rolling a number less than 4 is 1/2.
HELP!!! ASAP!!!
construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice
1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry
Find f(2) if f(x) = (-2x)^2 / (7x-4)
Answer:
4/3
Step-by-step explanation:
f(2) = (-2*2)^2 / (7(2))-4)
f(2) = (-4)^2 / 14-4
f(2) = 16 / 12
f(2) = 4 / 3
The first six steps of the derivation of the Quadratic Formula are listed below.
b
x
lo
=
a
a
+
1. ax2 + bx +c=0
2. Cx2 + x + =
3. x2 + x+8 = 0
b
4. x2 +
X=
a
b2
5. x2 + x +
4a2
6. (x + )2
4a2
a
+
a
b2
4a2
b2-4ac
2a
The ninth step in the derivation is to find the lowest common multiple (LCM) to give [tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The derivation of quadratic formula.In Mathematics, the standard form of a quadratic equation is given by;
ax² + bx + c = 0
Mathematically, the quadratic formula is given by this equation:
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
The sixth step in the derivation is:
[tex](x + \frac{b}{2a} )^2 = \frac{b^2 - 4ac}{2a}[/tex]
The seventh step in the derivation is:
We would take the square of both sides to have;
[tex]x + \frac{b}{2a} = \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The eigth step in the derivation is:
We would substract b/2a from both sides to have;
[tex]x = -\frac{b}{2a} \pm \frac{\sqrt{b^2 - 4ac}}{2a}[/tex]
The ninth step in the derivation is:
We would find the lowest common multiple (LCM) to have;
[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]
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The entire rectangle below has an area of 36 ft2. Find the area of the shaded triangle. Be sure to include the correct unit in your answer.
hard question help!!!!
Answer:
B
Step-by-step explanation:
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=26 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
ΔEDF is congurent with ΔBDC
DE/EF = DB/BC
The length of the ED is √182.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
EF is parallel to BC.
This means,
ΔEDF is congurent with ΔBDC
So,
DE/EF = DB/BC
BC = 2ED
DB = 26
EF = 14
Now,
DE/EF = DB/BC
DE/14 = 26/2ED
2ED² = 14 x 26
ED² = 7 x 26
ED = √182
Thus,
The length of the ED is √182.
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A squared garden has am area of 81 squared meters what is the permiter of this garden
Answer:
9 meters
Step-by-step explanation:
just find the square root of 81 and it gives you the number 9
Find the probability of rolling a 6 -sided dice and getting a number that is a divisor of 20.
Explanation:
On the die, the divisors or factors of 20 are: 1, 2, 4, 5
We have 4 faces we want out of 6 faces total
So 4/6 = 2/3 is the probability of getting a divisor of 20.
What is the value of the exponential expression 24?
O A. 8
B. 32
O C. 64
O D. 16
Answer:
16
Step-by-step explanation:
2^4 is the same thing as 2*2*2*2*2. 2 times 2 is 4, times 2 is 8, times 2 again is 16.
Find the surface area of the prism.
9 m
5 m. 12m
Answer:
the surface area of the prism is equal to 202 m^2
Step-by-step explanation:
The surface area of the prism is equal to
SA=2B+Ph
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
Find the area of the base B
B=LW=4*5=20m^2
Find the perimeter of the base P
P = 2(L+W) = 2 (4+5) = 18 m
Find the surface area ---->
SA = 2B + Ph = 2(20) + 18(9) = 202 m^2
btw m^2 is stand for square meter, also called the meter squared! (just if ur wondering)
Find the midpoint between point A and point B:
A: (-3, 10)
B: (7, -4)
options:
(-5, 3)
(2, 3)
(2, 7)
(-5, 7)
Answer:
2,3
Step-by-step explanation:
Answer: (2,3)
Step-by-step explanation:
add the two x’s and divide them then do the same with your y’s.
6. Hadila is 2 years younger than Kai Yee. Kai Yee's father's age is the square of Hadila's age. If Kai Yee is p years old, calculate the total age of the three of them. Express your answer in the form of algebraic expression.
ANSWER: p^2 - 2p + 2
Step-by-step explanation:
Total age of three = p + p-2 + (p-2)^2
= 2p-2 + p^2-4p+4
= p^2 - 2p + 2
Select the expression that is equal to 12(6+x)
31x
84x
18+12x
72+12x
18+13x
I don't know
Answer:
72 + 12x
Step-by-step explanation:
Use Distributive proeprty: a*(b +c)= (a*b) + (a*c)
Here, a = 12 ; b = 6 & c = x
12( 6 + x) = 12*6 + 12*x
= 72 + 12x
Help me please this is due tomorrow and I do not understand the assignment
Answer:
4 and 5 not functions 6 function
Step-by-step explanation:
In a function, each x value can only have one y value. To test this, you can try the vertical line test. Put a vertical line on the function; if it touches only one point the graph is a function. For graph 4, the x value of 3 has y values of 1 and 4 so it is not a function. For graph 5, the x values of 1 and 5 have many y values so the graph isn't a function. For graph 6, each x value has only one y value so it is a function.
Answer:
4. Not a function
5. Not a function
6. Function
Step-by-step explanation:
1 -3 (correct!)
Functions do NOT have repeating x-values. Hence why you were able to determine if # 1-3 are fuctions or not.
4. Not a fuction:
(1, 2)
(2, 3)
(3, 1)
(3, 4)
As we can see, both points have the same x-values. Therefore, not a function.
5. Using our knowledge about functions, we can quickly tell that this graph is NOT a fuction.
There are many points that fall under the same x-value.
6. Function:
(1, 2)
(2, 2)
(3, 3)
(4, 4)
No repeating x-values. Therefore, a function.
Hope this helps!
Factorise 9x2+49y2-42xy-30xz+70yz
the equation can not be factored ^
what are the magnitude and direction of u+v+w ?
The magnitude and the direction of the resultant are approximately 57.871 and 198.676°.
How to determine the magnitude and the direction of a resultantVectors are elements with two given characteristics: Magnitude and direction. A resultant is derived from the sum of vectors, the magnitude is the norm of a vector and the direction is the orientation of a vector. The resultant and its characteristics are described below:
Resultant[tex]\vec r = \left(\sum\limits_{i=1}^{n}x_{i}, \sum\limits_{i=1}^{n}y_{i}\right)[/tex] (1)
Magnitude[tex]\|\vec r\| = \sqrt{\left(\sum\limits_{i=1}^{n} x_{i}\right)^{2}+\left(\sum\limits_{i=1}^{n} y_{i}\right)^{2}}[/tex] (2)
Direction[tex]\theta = \tan^{-1}\frac{\sum\limits_{i=1}^{n}y_{i}}{\sum\limits_{i=1}^{n}x_{i}}[/tex] (3)
Where [tex]\theta[/tex] is resultant angle, measured in degrees.
If we know that [tex]\|\vec u\| = 90[/tex], [tex]\theta_{u} = 40^{\circ}[/tex], [tex]\|\vec v\| = 60[/tex], [tex]\theta_{v} = 20^{\circ}[/tex], [tex]\|\vec w\| = 40[/tex] and [tex]\theta_{w} = 30^{\circ}[/tex], then the resultant, its magnitude and its direction:
Resultant[tex]\vec r = (-90\cdot \cos 40^{\circ}-60\cdot \sin 20^{\circ}+40\cdot \cos 30^{\circ}, 40\cdot \sin 30^{\circ}+60\cdot \cos 20^{\circ}-90\cdot \sin 40^{\circ})[/tex]
[tex]\vec r = (-54.824, 18.531)[/tex]
Magnitude[tex]\|\vec r\| = \sqrt{(-54.824)^{2}+18.531^{2}}[/tex]
[tex]\|\vec r\| \approx 57.871[/tex]
Direction[tex]\theta = \tan^{-1} \left(\frac{18.531}{-54.824}\right)[/tex]
[tex]\theta \approx 198.676^{\circ}[/tex]
The magnitude and the direction of the resultant are approximately 57.871 and 198.676°. [tex]\blacksquare[/tex]
To learn more on vectors, we kindly invite to check this verified question: https://brainly.com/question/13322477
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon. Write an expression for the area of the shaded regions.
Answer:
the shaded area= area of the regular hexagon-the area of the regular pentagon+ the area of the square-the area of the equilateral triangle
Step-by-step explanation:
for the equation to be true we must first identify the shapes used.
the shapes used include
regular hexagonregular pentagonsquareequilateral trianglenow that we know the shapes we must find out which shapes are shaded
regular hexagon (shaded)regular pentagon (not shaded)square (shaded)equilateral triangle (not shaded)now we know which shapes are shaded we can now form the equation to find the area
i will turn the shapes into varibles so its easier on my brain and yours
area of the regular hexagon= harea of the regular pentagon= parea of the square= sarea of the equilateral triangle= tshaded area= Awe can know use the info gathered earlier to create the equation
shaded area = (area of the regular hexagon - area of the regular pentagon (the hexagon is shaded while the pentagon is not therefore you would subtract the area of the hexagon by the area of the pentagon))+(area of the square- area of the triangle( same reason as the hexagon and pentagon the triangle is not shaded therefore creating a gap in the square)
or in other words with the variables
A=( h-p )+( s-t )
if your still not convinced see the attached image
||
\/
math sceenshot answer the sceenshot
Answer:
H(d) = 0.3d + 12
Step-by-step explanation:
It started at 12 inches.
Then it grew 0.3 inches per day.
Let d = number of days.
The growth is 0.3 d.
Add the growth to the original length, to get 0.3d + 12.
Answer: H(d) = 0.3d + 12
2) Michael purchased a used car for $6,150 and had to pay 6.5% sales tax. How much tax
did he pay?
Answer:
$399.75
Step-by-step explanation:
6.5% of $6,150 =
= 0.065 × $6,150
= $399.75
Answer: $399.75
He had to pay $399.75
formula: Tax = Tax Rate * Purchase Price
$6,150 * 6.5%$399.75Find x . Round your answer to the nearest tenth of a degree.
The value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
Trigonometry identityFrom the given right angles triangle, we have the following parameters;
<A + 48 + 90 = 180 (sum of angles in a triangle)
<A =180 - 138
<A = 42 degrees
Using the SOH CAH TOA identity
sin48 = b/26
b = 26sin48
b = 19.3
For the value of a
sin42 = a/26
a = 26sin42
a = 19.3
a =17.4
Hence the value of a, b and <A are 17.4, 119.3 and 42 degrees respectively
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Find the perimeter of the composite figure using pi
Answer:
(3 +1.5π) ft ≈ 7.71 ft
Step-by-step explanation:
We see a semicircle, not a "composite figure." The perimeter of the semicircle is the sum of the length of the arc and the length of the straight edge:
P = (1/2)πd +d . . . where d is the diameter and πd is the full circumference
P = d(1 +π/2)
P ≈ (3 ft)(1 +1.57) = 7.71 ft . . . . . using 3.14 for π
The perimeter of the figure is about 7.71 feet.
__
In terms of pi, the perimeter is ...
P = (3 +1.5π) ft
The diameter of a semicircle is 30 miles. What is the semicircles radius ?
Answer:
D by 2 means 30 divides 2 frst of all youuhave to find radius after that semi circle
max measured the wading pool at the Arcadia Community Center and calculated that it has a circumference of 23.864 feet. what is the pools diameter
What is the value of the expression? Show your work.
[tex]\dfrac{7^{12} \cdot 7^9}{\left(7^6 \right)^3}\\\\\\=\dfrac{7^{12+9}}{7^{18}}\\\\\\=\dfrac{7^{21}}{7^{18}}\\\\\\=7^{21-18}\\\\\\=7^3\\\\\\=343[/tex]
Answer:
342.9385905398
I’m too lazy to put in any more so ya
Step-by-step explanation:
We solve the top first.
7^12 x 7^9
13,841,287,201 x 40,353,607
558,545,864,083,284,007
The bottom is (7^6)^3
(7^6)^3
(7^18)
1,628,413,597,910,449
558,445,864,083,284,007 divided by 1,628,413,597,910,449
342.9385905398
I’m too lazy to put in any more so ya
what value of x is in the solution set of 8x-6>12+2x
Answer:
3
Step-by-step explanation:
8x-6>12+2x
-2x -2x
_______________
6x-6 >12
+6 +6
____________
6x > 18
/6 /6
____________
x > 3
Hope this helps :)
The solution to the inequality 8x - 6 > 12 + 2x is, 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality 8x - 6 > 12 + 2x.
Separating the variable and constants to the other sides we have,
8x - 2x > 12 + 6.
6x > 18.
x > 3.
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A rectangle with length of 4/9 foot and a width of 2 feet
Answer:
area of rect = 8/9
Step-by-step explanation:
Area of rect.= (L*W)
Area = (4/9) (2)
Area = (4/9) (2/1)
Area = 8/9
Answer:
8/9 feet
Step-by-step explanation:
Area=l*w
4/9ft*2ft
4/9*2/1=8/9ft
(x-5)^2+2=11 solve by using square roots.
Work Shown:
[tex](x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\[/tex]
Help, question is in image.
Answer:
-31
Step-by-step explanation:
substitute- y-8b = -7-8(3)
8(3)=24
-7- -24=
solve- -31
Answer:
-31
Step-by-step explanation:
Given
binomial: y - 8b
y = - 7
b = 3
Solution
-7 - 8(3) Substitute 3 in for b and - 7 in for y
-7 - 24 Combine -8 and 3 (which is - 24
-31 Answer. - 31
what is the surface area of the cylinder
Answer:
The formula to calculate the total surface area of a cylinder is expressed as, total surface area of cylinder = 2πr(r + h). This total surface area includes the area of the 2 bases (2πr2) and the curved surface area (2πrh). Here 'r' is the radius and 'h' is the height of the cylinder.
Step-by-step explanation:
help me with this question, please
I think that's it, Hope this helps!!!!!!
Answer:
x = -2
Step-by-step explanation:
4x + 5y = 7
4x + 5 (3x + 9) = 7
4x + 15x + 45 = 7
19x + 45 = 7
19x = -38
x = -2