Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
In calculating probability, remember that "AND" means "MULTIPLICATION" and "OR" means "ADDITION".
Since we want the probability of red necklace AND yellow bracelet, we calculate individual probabilities and "MULTIPLY" them.
Probability of red necklace:
There are 4 necklaces and 1 of them is red, hence probability of red necklace is 1/4
Probability of Yellow bracelet:
There are 2 bracelet and 1 of them is yellow, hence probability of yellow bracelet is 1/2
Now, we multiply both to get our answer.
1/4 * 1/2 = 1/8
Answer:
1/8
Step-by-step explanation:
Find 100,000 more than 3,489,234.
Answer:
The answer is 3,589,234
Step-by-step explanation:
Because it basically means addition meaning you just have to add it 3,489,234 + 100,000 gives you the answer
Simplify using the distributive property.
8(y + 12)
8y + 12
20y
20 + y
8y + 96
Answer:
8y+12
Step-by-step explanation:
Given:AB=12 AC=6 prove:C is the midpoint of AB
since AC=1/2AB=6 THEREFORE C is the midpoint ofAB
Step-by-step explanation:
Given : AB = 12 , AC = 6
To prove = AB = 2 × AC (C is mid point of AB)
Solution:
AB = 12...[1]
AC = 6.....[2]
[1] ÷ [2]
[tex]\frac{AB}{AC}=\frac{12}{6}[/tex]
[tex]\frac{AB}{AC}=\frac{2}{1}[/tex]
[tex]AB=2\times AC[/tex] (hence, proved)
What is the surface area and volume of
a sphere that has a diameter of 12?
SA =
V=
sa- is 113.04 i think
[tex]\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=6 \end{cases}\implies SA=4\pi (6)^2 \\\\\\ SA=144\pi \implies SA\approx 452.39 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3} \\\\\\ V=288\pi \implies V\approx 907.78[/tex]
Find the missing number.
a. 3 : 24 = ___ : 72
b. ___ : 18 = 5 : 9
c. 6: ___ = 36 : 36
A 9
B 10
C 6
Hope this helps;$
Answer:
a. 3:24 = 9:72.
b. 10:18 = 5:9.
c. 6:6 = 36:36.
Step-by-step explanation:
a. 72 / 24 = 3 so we multiply 3 by 3 to give 9.
b. 18/9 = 2 so we multiply 5 by 2 = 10.
c. The answer is 6.
If the mean of four numbers 2, 4, x and 6 is 5, then x is ?
Answer:
x = 8
Step-by-step explanation:
Step 1: Create an equation
(2+4+x+6) ÷ 4 = 5
Step 2: Solve the equation
(12+x) ÷ 4 = 5
(12+x) = 20
x = 8
The value of the unknown number x is 8.
The given numbers include:
2, 4, x, 6mean = 5The sum of the given numbers is calculated as follows;
2 + 4 + x + 6 = 12 + x
The mean of the given 4 numbers is calculated as follows;
[tex]\frac{12 + x}{4} = 5\\\\12 + x = 20\\\\x = 20 -12\\\\x = 8[/tex]
Thus, the value of the unknown number x is 8.
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Describe each Locus
The set of all points in a plane that are 5 cm from a circle with radius 2 cm.
-
The set of all points in space that are a distance 6 in. from AB¯¯¯
Explanation:
1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.
__
2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.
If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.
Complete the solution table from left to right for the quadratic function. (I did not select an answer, that was a mistake) Thank you!
Answer: OPTION D
Step-by-step explanation:
To complete the table, you need to substitute the values of "x" given in the table into the quadratic equation [tex]y=x^{2}-x-6[/tex] to obtain the corresponding value of "y".
Then:
When [tex]x=-5[/tex] :
[tex]y=(-5)^{2}-(-5)-6[/tex]
[tex]y=24[/tex]
When [tex]x=-3[/tex] :
[tex]y=(-3)^{2}-(-3)-6[/tex]
[tex]y=6[/tex]
When [tex]x=-1[/tex] :
[tex]y=(-1)^{2}-(-1)-6[/tex]
[tex]y=-4[/tex]
When [tex]x=2[/tex] :
[tex]y=(2)^{2}-(2)-6[/tex]
[tex]y=-4[/tex]
The tape diagram represents an equation. Write an equation to solve
The equation represented by the tape diagram is: 2x + 3 = 5x
This can be solved by subtracting 2x from both sides: 3 = 3x
Dividing both sides by 3 gives the solution: x = 1
Therefore, the equation to solve is: 2x + 3 = 5x
The tape diagram represents the following equation:
2x + 3 = 5x
This can be solved by subtracting 2x from both sides:
2x + 3 - 2x = 5x - 2x
3 = 3x
Dividing both sides by 3 gives the solution:
x = 3 / 3
x = 1
Therefore, the equation to solve is:
2x + 3 = 5x
The solution is:
x = 1
The equation to solve m is 2/3 = 1/4 + m.
The equation you wrote, 2/3 = 1/4 + m, is indeed correct based on the tape diagram you described.
Here's how to solve it:
Combine fractions:
Get both fractions on the same side of the equation. Subtract 1/4 from both sides:
m = 2/3 - 1/4
Find a common denominator:
The smallest common denominator for 3 and 4 is 12.
Multiply both sides by 12:
12m = 8 - 3
Solve for m: Combine like terms and simplify:
12m = 5
m = 5/12
Therefore, the value of m is 5/12.
What percent of 72 is 27?
if we take 72 as the 100%, what is 27 off of it in percentage?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 72&100\\ 27&x \end{array}\implies \cfrac{72}{27}=\cfrac{100}{x}\implies \cfrac{8}{3}=\cfrac{100}{x}\implies 8x=300 \\\\\\ x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5[/tex]
To calculate the percentage, divide the part (27) by the whole (72) and multiply by 100, resulting in 37.5%.
Percentage is a way of expressing a portion or fraction of a whole as a value out of 100. It is commonly used to compare relative quantities, represents proportions, or express the relationship between a part and a whole.
The term "percent" comes from the Latin phrase "per centum," which means "per hundred." It signifies that percentages are calculated on a scale of 100.
In practical terms, a percentage represents a fraction of a whole, where the whole is equal to 100%. It allows us to easily compare different quantities and understand their relative sizes or proportions.
To calculate a percentage, you typically divide the part (the specific quantity you want to express as a percentage) by the whole (the total or reference quantity) and then multiply by 100 to obtain the value as a percentage.
To calculate the percentage, you can divide the given number (27) by the total number (72) and then multiply the result by 100. So, to find out what percent 27 is of 72:
(27 ÷ 72) × 100 ≈ 37.5%
Therefore, 27 is approximately 37.5% of 72.
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why is Pi never ending?
If the decimal expansion of pi would end, then it would have to be a rational number, ie pi could be written as a fraction pi = p/q with integers p and q. There are many proofs that this is not the case, but they are all a bit complicated
Pi is an irrational and transcendental number, meaning it never terminates or repeats. Its non-ending and non-repeating nature is reflected in its definition as the ratio of a circle's circumference to its diameter. Pi's transcendence ensures it cannot be expressed by any algebraic equation with rational coefficients.
Understanding the Nature of Pi ( 3.141592653589793237...)
Pi ( 3.14159...) is known to be a non-terminating, non-repeating decimal, which classifies it as an irrational number. This means that no matter how many digits you calculate, Pi will never repeat in a pattern nor end. The number has been calculated to trillions of digits without any repeating pattern emerging.
The non-ending nature of Pi arises from its definition as the ratio of a circle's circumference to its diameter. This ratio is the same for all circles, but it can never be expressed exactly by a fraction or a finite decimal.
Moreover, Ferdinand von Lindemann's proof that Pi is a transcendental number further solidifies that it cannot be the solution of any algebraic equation with rational coefficients, making Pi an essentially complex and infinite entity in mathematics.
what is the distance between (4,2) and (8,5)
Answer:
The distance between points P1 = (4,2) and P2=(8,5) is 5.
Step-by-step explanation:
Let P1 = (4,2) and P2=(8,5)
The distance between two points can be found using formula:
[tex]d(P,Q), \sqrt{(x_{2}-x_{1})^2+ (y_{2}-y_{1})^2}[/tex]
where x₁ = 4 , x₂=8, y₁= 2 and y₂ = 5
Putting values in the formula
[tex]=\sqrt{(8-4)^2+(5-2)^2} \\=\sqrt{(4)^2+(3)^2} \\=\sqrt{16+9} \\=\sqrt{25} \\=5[/tex]
So, the distance between points P1 = (4,2) and P2=(8,5) is 5.
Final answer:
The distance between the points (4,2) and (8,5) can be found using the Pythagorean Theorem. After calculating the squares of the differences in the x and y coordinates and adding them, the square root of the sum gives a distance of 5 units.
Explanation:
The distance between two points in a two-dimensional plane can be calculated using the Pythagorean Theorem. The coordinates of the points provided are (4, 2) and (8, 5). To find the distance, we calculate the difference in the x-coordinates and the difference in the y-coordinates, and then square both values before adding them together. This gives us the distance squared.
The formula is as follows:
d² = (x2 - x1)² + (y2 - y1)²
In this scenario:
d² = (8 - 4)² + (5 - 2)²
d² = (4)² + (3)²
d² = 16 + 9
d² = 25
Finally, we take the square root of the distance squared to get the distance:
d = √25
d = 5
The distance between the points (4,2) and (8,5) is 5 units.
2. A painting is sold for $1,400, and its value
increases by 9% each year after it is sold. What
is the value of the painting after 8 years?
Answer:
$11,480
Step-by-step explanation:
1,400 x 0.9 = 1,260
1,260 x 8 = 10,080
1,400 + 10,080 = 11,480
So which would be the answer?
The answer will be c
Answer is a) because you cut parallel with the base
Hurry and answer!
Will mark brainliest
Answer:
the first year 8
the second 16
the third 24
hope this helps
give me a five star plz
A ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour. which type of functions best model this situation?
Answer:
Linear Function
[tex]y=4x+18[/tex]
Step-by-step explanation:
Let
x----> the time in hours
y----> the total inches of snow on the ground
we know that
The function that best model this situation is the linear function
so
[tex]y=mx+b[/tex]
In this problem
[tex]m=4\frac{in}{h}[/tex]
[tex]b=18\ in[/tex] ----> the y-intercept
substitute
[tex]y=4x+18[/tex]
Answer:
Linear decreasing function best model this situation and the required function is
f(x)=4x+18
Step-by-step explanation:
It is given that a ski resort has 18 inches of snow on the ground. The snow is falling at a rate of 4 inches per hour.
If a function has constant rate of change, then the it is a linear function.
It the given case the rate of change is constant so linear function best model this situation.
The slope intercept form of linear function is
[tex]f(x)=mx+b[/tex] ... (1)
where, m is slope and b is y-intercept or initial value.
Ski resort has 18 inches of snow on the ground it means initial value is 18.
The snow is falling at a rate of 4 inches per hour. So, m=4.
Substitute m=4 and b=18 in equation (1).
[tex]f(x)=4x+18[/tex]
Therefore the required function is f(x)=4x+18.
Find the quotient 7 / 1/5
The quotient of 7 and 1/5 is calculated by multiplying 7 by the reciprocal of 1/5, which is 5. This yields the result 35.
Explanation:To compute the division of integers and fractions, we generally 'multiply by the reciprocal'. The reciprocal of a fraction is obtained by reversing the numerator and denominator.
In this case, you are asked to obtain the quotient of 7 and 1/5. The reciprocal of 1/5 is 5/1, or simply 5. Thus, we manipulate the problem from division to multiplication:
7 ÷ (1/5) = 7 * 5 = 35.
So, the quotient of 7 and 1/5 is 35.
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Please answer ASAP!
Picture provided.
Answer:
400cm2
Step-by-step explanation:
20 • 20 = 400
The answer is 400 cm squared.
Hope this helps!
If it does then I would appreciate it if you could make me brainliest.
What is the maximum number of relative extremes contained in the graph of this function f(x)=3x^4-x^2+4x-2
Answer:
Final answer is 3.
Step-by-step explanation:
Given function is [tex]f\left(x\right)=3x^4-x^2+4x-2[/tex].
Now we need to find about what is the maximum number of relative extremes contained in the graph of the given function [tex]f\left(x\right)=3x^4-x^2+4x-2[/tex].
Degree of the given function = 4.
Because degree is the highest power of variable.
Then relative number of extremas = degree - 1 = 4 - 1 = 3
Hence final answer is 3.
A sum of $4200 was invested, part at 8% and the remainder at 11%. If $426.00 was earned in interest after one year, how much was invested at 11%?
Answer:
$3000 was invested at 11%.
Step-by-step explanation:
The total interest was $426. This was comprised of interest earned at 8% (represented by e) and (separately) interest earned at 11% (represented by v).
Then e + v = $4200 total investment, and
i = $426 = e(0.08)(1 year) + v(0.11)(1 year)
We eliminate the variable e as follows: since e + v = $4200, e = $4200 - v. Thus,
i = $426 = e(0.08)(1 year) + v(0.11)(1 year) becomes:
i = $426 = ($4200 - v)(0.08)(1 year) + v(0.11)(1 year)
This is one equation in one unknown, the amount of $ invested at 11%.
Performing the indicated multiplications:
426 = 4200(0.08) - 0.08v + 0.11v. Simplifying this further, we get:
426 = 336 + 0.03v.
Then 90 = 0.03v, and v = 90 / 0.03 = $3000.
$3000 was invested at 11%.
Solve the following quadratic equation for all values of x in simplest form !! Please answer this !!
Answer: x = 4.69/ x = (squareroot) 22
StepsQuadratic Equation: 17 - x² = -5
Subtract 17 from both sides
17 - x² - 17 = -5 - 17
Simplify
-x² = -22
Divide both sides by -1
-x² / -1 = -22 / -1
Simplify
x² = 22
x = (squareroot) 22 or
x = 4.69
The solutions to the equation are x= √ 22 and x= -√ 22.
The Solving Quadratic Equation given is 17-x²=-5.
First, let's rearrange this equation in a form ax²+bx+c=0.
When rearranged, it reads as: x² - 22 = 0. Here, a=1, b=0, c=-22.
The solutions or the roots of this quadratic equation can be calculated using the quadratic formula -b ± √b² - 4ac/2a.
Substituting the values into the formula gives -0 ± √(0 - 4(1)(-22))/2(1), simplifying this gives x = ± √ 22.
Therefore, the solutions to the equation are x= √ 22 and x= -√ 22.
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The probable question may be:
Solve the following quadratic equation for all values of x in simplest form !! Please answer this !!
17-x^2=-5
what is the y- value of the vertex of 4c^2+8x-8
Answer:
a =4 b=8 c=-8
y-value of vertex =
ah^2 + bh + c
where h = -b/2a
h= -8/8 =-1
y-value of vertex =
4(-1)^2 + 8*-1 -8
4 -8 -8
y value of vertex = -12
Step-by-step explanation:
Martin drew a pair of perpendicular lines and a pair of parallel lines.
Which of these statements best compares the pairs of perpendicular and parallel lines?
Perpendicular and parallel lines have their lines extending in one direction only.
Perpendicular and parallel lines always have a common endpoint.
Perpendicular lines are lines that intersect at right angles, and parallel lines are lines that never meet.
Perpendicular lines have only one point lying on them, and parallel lines have no points lying on them.
The answer is Perpendicular and parallel lines have their line extending in one direction only
Answer:
Perpendicular and parallel lines have their lines extending in one direction only.
Step-by-step explanation:
What is the missimg term in this aeithmetic sequence 9,14,19,_29,34,
ANSWER
The missing term is 24
EXPLANATION
The given arithmetic sequence is 9,14,19,_29,34
We can observe that:
[tex]14 = 9 + 5[/tex]
[tex]19 = 14 + 5[/tex]
Let the missing term be x, then
[tex]x = 19 + 5[/tex]
[tex]x = 24[/tex]
Therefore the missing term is 24.
What is the value of p?
Answer:
90
Step-by-step explanation:
I do not understand any of the questions its asking :c
Answer:
Step-by-step explanation:
The total number of students is 350 + 50 + 225 + 375 = 1000.
There are 225 students in band only, as well as 50 students in both band and choir. So there are 275 students in band out of the total of 1000, or 27.5%.
There are 350 students in choir only, as well as 50 students in both choir and band. So there are 400 students in choir, 50 of whom are also in band. So the probability is 50/400, or 12.5%.
The probabilities are not the same.
Since the probabilities are not the same, the probability of being in band is affected by whether or not the student is in choir. So the events are not independent.
Please help IDK how to do this!
A painter leans a 12 ft ladder against a building. The base of the ladder is 5 ft from the building. To the nearest foot, how high on the building does the ladder reach?
For this problem you must do Pythagorean theorem:
[tex]a^{2} + b^{2} =c^{2}[/tex]
In this example 10ft is c and 7ft is a (or it could be b, and you'll be solving for a instead of b. It's the same thing, since a and b are both legs)
Plug what you know into the equation:
[tex]7^{2} +b^{2} = 10^{2}[/tex]
49 +b^{2} = 100
Bring 49 to the right side by subtracting it:
b^{2} = 51
Now you still must isolate b. The opposite of squaring is taking the square root so take the square root of both sides to cancel it from the left side:
[tex]b =\sqrt{51}[/tex]
b = 7.1414
b ≈ 7 ft
Hope this helped!
a building casts a shadow that is 348 meters long at the same time a person who is 2 meters tall casts a shadow that is 6 meters long how tall is the building
Answer:
The building is [tex]116\ m[/tex] high
Step-by-step explanation:
we know that
Using proportion
Let
x-----> the height of the building
[tex]\frac{2}{6}=\frac{x}{348}\\ \\x=2*348/6\\ \\x=116\ m[/tex]
A polynomial function can be written as (x + 2)(x + 3)(x − 5). What are the x-intercepts of the graph of this function? (1 point) (2, 0), (3, 0), (−5, 0) (−2, 0), (−3, 0), (5, 0) (2, 0), (3, 0), (5, 0) (−2, 0), (−3, 0), (−5, 0)
Answer:
(-2, 0), (-3, 0), and (5, 0)
Step-by-step explanation:
The x-intercept is found when y = 0.
So, we have to find x when (x + 2)(x + 3)(x - 5) = 0
We can do that by pulling apart all parts, because if one part = 0, the whole thing will have to be too (multiplication property of identity).
1. When x + 2 = 0, x = -2
2. When x + 3 = 0, x = -3
3. When x - 5 = 0, x = 5
That gives us (-2, 0), (-3, 0), and (5, 0)
Answer:
(-2, 0), (-3, 0) and (5, 0)Step-by-step explanation:
x-intercepts are for
(x + 2)(x + 3)(x - 5) = 0
The product is equal to 0 if one of the factors is equal to 0.
Therefore
x + 2 = 0 or x + 3 = 0 or x - 5 = 9
x + 2 = 0 subtract 2 from both sides
x = -2
x + 3 = 0 subtract 3 from both sides
x = -3
x - 5 = 0 add 5 to both sides
x = 5
consider the following precise wise-defined function
Answer:
11
Step-by-step explanation:
The x-value -4 is less than 3, so use the first formula for f: x^2 - 5.
Then f(-4) = (-4)^2 - 5 = 11