What is the solution for 3(3-3x) = 2(x+3) - 30
Answer:
x=3
Step-by-step explanation:
Answer: 3=x
Step-by-step explanation:
what is the sample space of flipping a fair coin 4 times where h represents the heads side of the coin and t represents the tails side of the coin
The sample space can be represented as: {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT} where each element represents a sequence of four coin flips, with H representing heads and T representing tails.
What is sample space?In probability theory, the sample space is the set of all possible outcomes of a random experiment or event. It is the set of all possible results that can occur when an experiment is performed. The sample space is an important concept in probability theory because it defines the set of possible events that can occur, and allows us to calculate the probabilities of different events. The probability of an event is defined as the number of outcomes that satisfy the event divided by the total number of possible outcomes in the sample space.
Here,
The sample space of flipping a fair coin 4 times, where H represents the heads side of the coin and T represents the tails side of the coin, consists of all possible outcomes of the 4 flips. Each flip has two possible outcomes, so the total number of possible outcomes is 2 x 2 x 2 x 2 = 16.
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What is the sample space of flipping a fair coin 4 times where h represents the heads side of the coin and t represents the tails side of the coin?
HELP ASAP PLEASEEEEE
100 POINTS
An equation is shown: x2 + 4x + 4 = 0
What are the x intercepts? Show your work using a method of your choice.
What is an alternate method you could use to find the x intercepts (other than the method you used)?
What is the vertex? Is it a minimum or maximum? How do you know by looking at the equation?
What steps would you take to graph using the information you have already calculated? How would you use symmetry to help you graph?
The y-intercept is (0, 4).
An alternate method to find the x-intercepts is to factor the quadratic equation.
The vertex is (-2, 0).
The graph of the equation is illustrated below.
One of the most common types of equations is a quadratic equation, which is an equation of the form ax² + bx + c = 0. In this case, we have the equation x² + 4x + 4 = 0, and we need to find the x-intercepts.
To find the x-intercepts, we can use the quadratic formula, which is given by:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 4, so we can substitute these values into the formula:
x = (-4 ± √(4² - 4(1)(4))) / 2(1) x = (-4 ± √(0)) / 2 x = -2
Therefore, the x-intercept is -2. We can check this by plugging in x = -2 into the equation and verifying that it equals zero:
(-2)² + 4(-2) + 4 = 0
In this case, we can see that the equation can be factored as:
(x + 2)² = 0
Taking the square root of both sides, we get:
x + 2 = 0
x = -2
This gives us the same x-intercept as before.
To find the vertex of the parabola represented by the equation, we can use the formula:
x = -b / 2a
and then substitute this value of x into the equation to find the y-coordinate of the vertex. In this case, we have:
x = -4 / 2(1) x = -2
Substituting x = -2 into the equation, we get:
(-2)² + 4(-2) + 4 = 0
Since the coefficient of x² is positive (i.e., a = 1 > 0), the parabola opens upwards and the vertex is a minimum.
To graph the parabola, we can plot the vertex at (-2, 0) and use the x-intercept we found earlier at (-2, 0). Since the equation is symmetric about the vertical line through the vertex, we know that there is another point on the graph that is the same distance from the vertex but on the other side of the line. Therefore, we can plot the point (-3, 0) as well. We can also find the y-intercept by setting x = 0 in the equation:
0² + 4(0) + 4 = 4
Using this information, we can sketch the parabola by connecting the points (-3, 0), (-2, 0), and (0, 4), and noting that the parabola is symmetric about the line x = -2.
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HI GIRLIES HELP ME PLEASE :) THANK U SM LIKE I LITERALLY AM IN LOVE WITH YOU
Answer:
I think it's B I really don't know though
The Ultra Boy tomato plant sold by the Stokes Seed Company claims extraordinary quantities from this variety of tomato plant. Ten such plants were studied with the following quantities per plant. 1. 32, 46, 51, 43, 42, 56, 28, 41, 39, 53 Find the mean and median number of tomatoes.
The mean number of tomatoes for the Ultra Boy tomato plant is calculated by adding up all the quantities and dividing by the total number of plants, which is 10 in this case. So, the mean is (32+46+51+43+42+56+28+41+39+53)/10 = 43.1 tomatoes per plant.
To find the median number of tomatoes, we need to first arrange the quantities in numerical order: 28, 32, 39, 41, 42, 43, 46, 51, 53, 56. The median is the middle number in this list, which is 43.
Therefore, the median number of tomatoes for the Ultra Boy tomato plant is 43.
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mr. adams divides 183 markers equally among the 24 students in his class. he puts the extra markers in a box. what is the least number of extra markers in a box?
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.
Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:
24 | 183
-----
7 6
-----
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.
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if the volume of a tank is 4,750 cubic centimeters, what is the volume of the tank in cubic meters? (1 centimeter
If the volume of a tank is 4,750 cubic centimeters, the volume of the tank in cubic meters is 0.00475 m³.
To convert the volume of the tank from cubic centimeters to cubic meters, follow these steps:
Step 1: Understand the conversion factor between cubic centimeters and cubic meters.
There are 1,000,000 cubic centimeters in 1 cubic meter
(1 cm³ = 0.000001 m³ or 1 m³ = 1,000,000 cm³).
Step 2: Divide the volume of the tank in cubic centimeters by the conversion factor.
In this case, divide 4,750 cm³ by 1,000,000.
Step 3: Perform the calculation:
4,750 cm³ ÷ 1,000,000 = 0.00475 m³.
So, the volume of the tank in cubic meters is 0.00475 m³.
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Please help with this will give BRAINLIST to best answer
Answer: 4
Step-by-step explanation:
Evaluate y=5x+7, for x=3.
A student must have an average (the mean) on five tests that is greater than or equal to 80% but less than 90% to receive a final grade of B. Devon's grades on the first four tests were 77%, 63%, 90%, and 78%. What range of grades on the fifth test would give him a B in the course? (Assume that 100% is the highest grade possible.)
Answer:
92%-100% for B
Step-by-step explanation:
Answer: 92%-100% for B
Step-by-step explanation:
Write the inequality that represents the sentence, "Four less than a number is greater than 58."
Answer:
n-4>58
Step-by-step explanation:
Answer:
n-4>58
Step-by-step explanation:
Jenny’s garden is 28 feet by 50 feet. What is the area of her garden? How could she use mental math to find the area?
Answer:
1400 square feet
Step-by-step explanation:
The area of a rectangle is found by multiplying its length by its width. So the area of Jenny's garden, which is 28 feet by 50 feet, is:
28 x 50 = 1400 square feet
To use mental math, Jenny could use the distributive property of multiplication.
First, she could break down the 28 into 20 and 8, and 50 into 40 and 10.
Then, she could think 20 x 50 = 1000 and 8 x 10 = 80
Finally, she could add 1000 + 80 = 1080.
So, the area of the garden can also be found by breaking down one of the dimensions into smaller parts, multiply them and add the results.
Another way to use mental math is to think of it as a square with side length of 50 ft, and then think of it as 28 rectangles of 1 ft by 50 ft. The area is then 50 x 28 = 1400 sq ft.
15a. Cindy can make $100 in four days babysitting. At that rate, how many day will it take
her to make $425.
Answer:
4.2
Step-by-step explanation:
suppose that α 2 is an angle in quadrant 4 and that cos α = − 7 25 . compute the exact value of cos ( α 2 ) . cos ( α 2 ) =
Given an angle α in quadrant 4 with cos α = -7/25, we can use the half-angle formula for cosine to find the exact value of cos(α/2) as √(15)/10.
In trigonometry, the half-angle formula for cosine states that cos(α/2) = ±√((1+cos α)/2), where α is an angle and cos α is the cosine of that angle. The sign of the formula depends on the quadrant in which the angle α lies.
In this case, we are given that α is an angle in quadrant 4 and that cos α = -7/25. Since cosine is negative in quadrant 4, we know that the half-angle formula for cosine must be negative. Using the half-angle formula for cosine, we have cos(α/2) = -√((1+cos α)/2) = -√((1-7/25)/2) = -√(18/50) = -√(9/25) * √(2/2) = -3/5 * √2.
However, we can simplify this answer further by rationalizing the denominator. Multiplying both the numerator and denominator by √2, we get cos(α/2) = -3√2/10.
Therefore, the exact value of cos(α/2) is -3√2/10 or equivalently, √(15)/10 in simplified radical form.
In conclusion, given an angle α in quadrant 4 with cos α = -7/25, we can use the half-angle formula for cosine to find the exact value of cos(α/2) as √(15)/10.
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Given an angle α in quadrant 4 with cos α = -7/25, we can use the half-angle formula for cosine to find the exact value of cos(α/2) as √(15)/10.
In trigonometry, the half-angle formula for cosine states that cos(α/2) = ±√((1+cos α)/2), where α is an angle and cos α is the cosine of that angle. The sign of the formula depends on the quadrant in which the angle α lies.
In this case, we are given that α is an angle in quadrant 4 and that cos α = -7/25. Since cosine is negative in quadrant 4, we know that the half-angle formula for cosine must be negative. Using the half-angle formula for cosine, we have cos(α/2) = -√((1+cos α)/2) = -√((1-7/25)/2) = -√(18/50) = -√(9/25) * √(2/2) = -3/5 * √2.
However, we can simplify this answer further by rationalizing the denominator. Multiplying both the numerator and denominator by √2, we get cos(α/2) = -3√2/10.
Therefore, the exact value of cos(α/2) is -3√2/10 or equivalently, √(15)/10 in simplified radical form.
In conclusion, given an angle α in quadrant 4 with cos α = -7/25, we can use the half-angle formula for cosine to find the exact value of cos(α/2) as √(15)/10.
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60+12x=6 (_+_)
Simplifying Algebraic Expressions
Answer:
See belowStep-by-step explanation:
Distributive property of equality, here we are performing opposite operation, which is factoring:
60 + 12x = 6*10 + 6*2x = Show both terms as a factor of 66(10 + 2x) Factor out 6A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher? *
13 glasses can be poured
Hope I helped
Answer:
13
Step-by-step explanation:
number of glasses = total quantity of water / quantity of one cup
n = 5.2/0.4
n = 52/4 (multiply numerator and denominator with 10)
n = 13
therefore it can be poured into 13 cups
Which expression is equivalent to 0. 00007?
A 7 x 10-5
B) 7 10
7 x 10"
D7% 10%
Answer:
none of them equals 0.00007
unless a is 7 times 10 to the minus 5 power then the answer is a
Step-by-step explanation:
a=65 for 7 times 10 minus 5 unless the equation is 7 times 10 to the -5 power then the answer is a
b=70 for 7 times 10
c=700000000000 for 7 times 10 to the 11th power
d=0.007 for 7 percent times 10 percent
can someone answer please? i will give brain-list
Answer:
x=5
Step-by-step explanation:
9x=4x+25
-4x -4x
5x=25
x=5
A store is having a sale where all shoes are discounted by 20%. Diego has a coupon for $3 off of the regular price for one pair of shoes. The store first applies the coupon and then takes 20% off of the reduced price. If Diego pays $18.40 for a pair of shoes, what was their original price before the sale and without the coupon?
Answer:
26.00
Step-by-step explanation:
Answer: 18.40
Step-by-step explanation:
0.8 x (x-3)= 18.40
Write a polynomial with four terms that has a GCF of 4x^2.
This polynomial, 4x² is the GCF and (x + 2)(x - 1)(x + 3) are the remaining factors.
What is polynomial?
A polynomial is an equation made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables.
A polynomial with a GCF of 4x² means that 4x² is a factor common to all terms in the polynomial. One example of such a polynomial is:
4x² (x + 2)(x - 1)(x + 3) = 4x⁵ + 24x²- 36x³ - 72x²
In this polynomial, 4x² is the GCF and (x + 2)(x - 1)(x + 3) are the remaining factors.
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helpp meeeeeeeeeeeeee
Answer:
Step-by-step explanation:
HELPPP!! NEED QUICK! WILL GIVE BRAINLEST!
3. National Credit Union pays 5.5% interest compounded quarterly
on special notice savings accounts. Marco Garcia deposits
$5,698.80 in a special notice savings account for 2 years.
a. What is the amount in the account after 2 years?
b. At the end of the 2 years, Marco deposits $5,000.00 in
the account. How much is in the account at the end of 2 more
years?
c. What is the total interest earned in the 4 years?
Answer:
5,698,80
Step-by-step explanation:
this is easy if you paid attention in class
Answer:
5,698,80
Step-by-step explanation:
Using easy Math Skillz
Which expression is equivalent to 0.75a + 10b + a – 2b?
Answer:
1.75a + 8b
Step-by-step explanation:
0.75a + 10b + a - 2b ← collect like terms
= (0.75 + 1a) + (10b - 2b)
= 1.75a + 8b
Answer:
1.75a+8b
Step-by-step explanation:
Given here, 0.75a + 10b + a – 2b = 0.75a+a+10b-2b
=1.75a+8b
Hence, The required equivalent expression is 1.75a+8b
Consider the given pseudo code. Write the function T(n) in terms of the number of operations, and then give the asymptotic (big Oh) complexity of the algorithm, show all the work you do. [ write the summation formula and solve it, or use the "Look for pattern"method. a. Matrix Multiplication
The function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.
The pseudo code for matrix multiplication may look something like this:
```
MatrixMultiplication(A, B):
n = size of matrix A
C = empty matrix of size n x n
for i = 1 to n do:
for j = 1 to n do:
sum = 0
for k = 1 to n do:
sum = sum + A[i][k] * B[k][j]
C[i][j] = sum
return C
```
Let's break down the number of operations step by step:
1. Assigning the size of matrix A to variable n: 1 operation
2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)
3. Outer loop: for i = 1 to n
- Incrementing i: n operations
- Inner loop: for j = 1 to n
- Incrementing j: n^2 operations (since it is nested inside the outer loop)
- Initializing sum to 0: n^2 operations
- Innermost loop: for k = 1 to n
- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)
- Performing the multiplication and addition: n^3 operations
- Assigning the result to C[i][j]: n^2 operations
- Assigning the value of sum to C[i][j]: n^2 operations
Total operations:
1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1
Therefore, the function T(n) in terms of the number of operations is:
T(n) = 2n^3 + 3n^2 + 2n + 1
To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.
In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).
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You're planning to visit with seven clients today and you estimate that at most each client will require 3/4 of an hour of your time. At most how long does you estimate say it will take to visit with each client?
Answer:
45 mins
Step-by-step explanation:
Estimated time it would take to visit with each client = fraction of time required for one client x 60 minutes
3/4 x 60 = 45 minutes
time it would take to visit with 7 clients = 7 x 45 minutes = 5hours 25 mins
4+(9x2)÷(4-1)-4 simplify by using order of operations
Answer:
the answer is 6 just do the math and it's pretty easy
Steps to solve:
4 + (9 * 2) / (4 - 1) - 4
~Simplify what is in parenthesis
4 + (18) / (3) - 4
~Divide
4 + 6 - 4
~Add
10 - 4
~Subtract
6
Best of Luck!
what do mathematicians do after a snowstorm
The bends on a track for car racing are semicircular and the track is banked at an angle of 28
0
to the horizontal. Suppose the radius of the curvature of the bends is 120 m. a) At what speed can a racing car and a driver of mass 800 kg take these bends even when there is no friction between the car and the track? b) If the car speed is twice of that in (a). (i) draw the free-body diagram of the car (ii) Find the value of the frictional force f.
The bends on a track for car racing are semicircular, and the track is banked at an angle of 28.0° to the horizontal. Suppose the radius of the curvature of the bends is 120 m.
a) The formula to calculate the minimum velocity is given as follows:Vmin = √(rgtanθ)Where;Vmin is the minimum velocity needed to stay on the track;g is the acceleration due to gravity;r is the radius of the turn;θ is the angle of banking.r = 120 m, θ = 28.0°, and g = 9.8 m/s²Substitute the values into the formula, we get;Vmin = √(rgtanθ)=√(9.8 m/s² * 120 m * tan(28.0°))=40.6 m/sTherefore the minimum velocity the car should maintain is 40.6 m/sb) If the car speed is twice that in (a).
(i) The free-body diagram of the car is as shown below;
(ii) The value of the frictional force f is as follows;There are two forces acting on the car, namely; the normal force and the gravitational force. When the car moves at a constant speed around the bend, the centrifugal force Fc is also acting towards the center of the circular path. The centrifugal force Fc is given by the formula;Fc = mv²/rWhere;F c is the centrifugal force;m is the mass of the carv is the velocity of the car in m/sr is the radius of the curve.
Therefore;f = F s, max= μsNWhere;Fs, max is the maximum static frictional force that can be applied;N is the normal force acting on the car;μs is the coefficient of static friction.Because the car is not sliding, the maximum frictional force that can act is equal to the centripetal force, Fc.Thus;Fs, max = F c= 21,333.3 NThe frictional force f can now be determined as;f = Fs, max= μsN= 21,333.3 N= μsmgCosθwhere m is the mass of the car, and g is the acceleration due to gravity.
Substitute the values into the formula;μ s = f/mgCosθ= 21,333.3 N / 800 kg * 9.8 m/s² * Cos(28.0°) = 0.58Therefore the coefficient of static friction is 0.58.
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What is order of magnitude?
The magnitude of the number of the minutes in the school is 2.
What magnitude is 0 in?Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.
Can a magnitude order be negative?There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).
The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.
On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.
The value storage is where you may find the number into the various magnetic.
As a result, the number of minutes spent in school is 2.
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What is the Order of Magnitude of the number of minutes in a school day?
Determine the values of m in the equation m2 = 36.
m = 18
m = 6
m = ±18
m = ±6
the values of m in the equation m^2 = 36 , is m= ±6.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
here, we have,
given that,
the equation m^2 = 36.
taking root on both side, we get,
m= ±6.
Hence, the values of m in the equation m^2 = 36 , is m= ±6.
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