Every second, 44 megabytes of files will be transferred to her hard drive.
The size of the files on her external hard drive in megabytes is given F, where F = 38 + 6t and t is the time in seconds since the transfer began.
The function is below
F = 38 + 6t ....(i)
To determine the number of megabytes of files transferred to her hard drive every second
Substitute the value of t = 1 in the equation (i), and solve for F
F = 38 + 6(1)
F = 38 + 6
F = 44
So the number of megabytes of files = 44
Therefore, every second, 44 megabytes of files will be transferred to her hard drive.
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IXL Please Help Fast!
Equation of line c parallel to line d and passing through points (2, -6) is
How to equation of line dThe equation of line d will be written in the slope intercept form of the form just like line c,
the slope intercept form is as below
y = mx + c
where
m = slope
c = intercept
x = input variables
y = output variables
y = -5x + 3
slope
m = -5
slope of parallel lines are equal hence slope of line d = -5
using the formula for the slope intercept the equation is written
(y - y₁) = m (x - x₁)
point (2, -6) and m = -5
(y - -6) = -5 (x - 2)
y + 6 = -5x + 10
y = -5x + 4
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Find the sum of the first n terms of the geometric sequence. n=5, a₁ =4, r = 3
The sum of n terms of geometric sequence with n=5, a₁ =4, r=3 is given by = 484.
Given that the sequence is geometric.
First term is = a₁ = 4
Common ratio is = r = 3
The number of terms for which the sum to be determined = n = 5
So the required sum of n terms of given geometric sequence is given by,
S [tex]=a_1\times\frac{r^n-1}{r-1}[/tex]
S [tex]=4\times\frac{3^5-1}{3-1}[/tex]
S = 4*((243-1)/2)
S = (4*242)/2
S = 484
Hence the sum of the given geometric sequence is 484.
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True or False
1 The total number of outcomes in tossing 3 fair coins is 6.
2 The totality of all outcomes is called an event.
3 Empty set of events is considered an event.
4 Sample Space is considered an event.
5 Empirical probability uses frequency to determine the probability.
6 The total number of outcomes in tossing a fair coin and rolling a die at the same time is 12
7 Weather forecasting is considered a subjective probability.
8 The probability of getting odd numbers in rolling a fair die is ⅓
9 If there are 18 students in a room. Where 5 of them are male then the probability of selecting male in a class is 5/18.
10 The probability of the sample space is always 1.
Answer:false
Step-by-step explanation:
i will give brainly if someone helps with thisIf △ABC is translated 3 units left and 2 units up, what would be the translated coordinates of Point C?
Answer: (-2, -2)
Step-by-step explanation:
Right now, the coordinates of point C are (1, -3).
It is first moved 3 units to the left, so the point C would change to (1 - 3, -3) = (-2, -3)
It is then moved 2 units up, so point C would change to (-2, -3 + 2) = (-2, -1)
A bacteria culture initially contains 3000 bacteria and doubles every half hour.
1) Find the size of the baterial population after 80 minutes.
2) Find the size of the baterial population after 7 hours.
The size of the bacterial population after 80 minutes is 19048.81
The size of the bacterial population after 7 hours is 49152000.
Given,
A bacterial culture initially contains 3000 bacteria and doubles every half hour.
we are asked to determine the size of the bacterial population after 80 minutes.
The exponential growth law for this problem is
p(t) = 3000 (2)^t/30
where t is the time in minutes. To find the population after 80 minutes, plug in t=80 and evaluate P(80).
p(80) = 3000 (2)^80/30
p(80) = 3000(2)^8/3
p(80) = 19048.81
now, we are asked to determine the size of the bacterial population after 7 hours.
To find it after hours, plug in t=420 minutes (since 7 hrs equals 420 minutes) and evaluate p(420).
p(420) = 3000(2)^420/30
p(420) = 3000(2)^14
p(420) = 49152000
hence we get the required size of the population.
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Help please: 12+6x<24
Answer:
12+6x<24First by using inverse operations, subtract 12 on both sides.
12-12+6x<24-12Now it will become
6x<12Now divide 6 to isolate x
6x÷6<12÷6Hence, the answer is
X<2
Help please
Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions
The values of [tex]D, D_x, D_y[/tex] are, [tex]D = 13, D_x = 8, D_y = 19[/tex].
What is Cramer's rule?
One of the key techniques used to solve an equation system is Cramer's rule. The determinants of matrices are used in this method to derive the values of the system's variables. Thus, the determinant technique is another name for Cramer's rule.
Consider, the given system of equations
-3x + 4y = 4 ...(1)
2x = 7y - 9 ...(2)
equation (2) can be written as,
2x - 7y = -9 ..(3)
Using Cramer's rule, we have to find the determinant of the coefficient matrix
matrix,
D= [tex]\left[\begin{array}{ccc}-3&4\\2&-7\end{array}\right][/tex] = (-3)(-7) - 8 = 21 - 8 = 13
Secondly, find the determinant of x coefficient matrix,
[tex]D_x[/tex] = [tex]\left[\begin{array}{ccc}4&4\\-9&-7\end{array}\right][/tex] = (4)(-7) - (4)(-9) = -28 + 36 = 8
Similarly, find the determinant of y coefficient matrix,
[tex]D_y[/tex] = [tex]\left[\begin{array}{ccc}-3&4\\2&-9\\\end{array}\right][/tex] = (-3)(-9) - (4)(2) = 27 - 8 = 19
Hence, values of the determinants are, [tex]D = 13, D_x = 8, D_y = 19[/tex].
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4 Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0 Reset Next
The equation of the circle is x² + y² - 41 =0.
What is a circle?A circle is a round-shaped 2-dimensional geometrical figure in which the points on the boundary are equidistant from a fixed point called a center.
Given, a circle centered at O(0,0)and has a point B (4,5) on its circumference.
The radius of the circle is the distance between the points O(0,0) and B (4,5), therefore,
r = √((4-0)² + (5-0)²)
r = √(16+25)
r = √41
The equation of a circle, centered at the origin with a radius of r =√41 units, is given by,
x² + y² = √41²
x² + y² = 41
x² + y² - 41 =0
Hence, the equation of the circle is x² + y² - 41 =0.
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James is having a birthday party. It costs $350 to rent the hall plus $35 per person for food. Write an equation to show the total cost of the party (y) based on the number of guests (x) he invites.
y=35x+350 is the equation to show the total cost of the party (y) based on the number of guests (x) he invites.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
James is having a birthday party.
It costs $350 to rent the hall plus $35 per person for food
We need to write an equation to show the total cost of the party (y) based on the number of guests (x) he invites.
y=35x+350
Where x represents the number of guests.
350 is a constant value because it is the cost of the hall.
As 35 is the cost per person, 35x
Hence y=35x+350 is the equation to show the total cost of the party (y) based on the number of guests (x) he invites.
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Convert each mixed number to a fraction greater than one, or each fraction greater than one to a mixed number 5 3/11
work
Find the savings plan balance after 4 years with an APR of 4% and monthly payments of $250.
The balance is
(Do not round until the final answer. Then round to the nearest cent as needed.)
The balance is $12989.90.
From the question, we have
[tex]A= P\times \frac{\left ( 1+\frac{APR}{n} \right )^{nt}-1}{\frac{APR}{n}}[/tex]
where,
A is the balance after t years,
P is the periodic payment,
APR is the annual percentage rate,
n is the number of periodic payments per year, and t is the number of years.
[tex]A=250\times \frac{\left ( 1+\frac{0.04}{12} \right )^{12\times 4}-1}{\frac{0.04}{12}}[/tex]
=$12989.90
The balance is $12989.90.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Consider the following scenario.
the three-number bet
(a) Find the expected value of each $1 bet in roulette. (Round your answer to three decimal places.)
dollars
(b) Interpret it. (Round your answer to one decimal place.)
Over time, you should expect to lose about
cents for every dollar you bet.
a) The expected value of each $1 bet in roulette is of: -$0.988.
b) The interpretation is given as follows: Over time, you should expect to lose about 999 cents for every dollar you bet.
How to obtain the expected value of a discrete distribution?The expected value of a discrete distribution is obtained as the sum of each outcome multiplied by it's respective probability.
The three-number bet is when one sequence of three numbers has to be correctly chosen, hence the probability of winning is of:
p = 1/(10³) = 1/1000.
(as there is only one correct sequence, and for each number, there are 10 outcomes).
The payout is given as follows:
11:1.
That is, if you win, you earn 11 times the amount you bet.
Considering a bet of $1, the distribution of earnings is given as follows:
P(X = 11) = 1/1000.P(X = -1) = 999/1000.Hence the expected value of the bet is:
E(X) = 11/1000 - 999/1000 = -$0.988.
Which is the amount you are expected to lose for every dollar you bet.
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Simplify the expression (x)(6+x)−2x. Write products as powers when possible.
(x)(6+x)−2x=
Simplifying the expression (x)(6 + x)−2x gives x^2 + 4x
How to simplify the expressionInformation given in the question
the expression (x)(6 + x)−2x
The expression is simplified by first expanding
(x) (6 + x) − 2x
6x + x^2 - 2x
x^2 + 4x (products as powers when possible)
The result here is a quadratic equation without the constant variable. it can be simplified further to give
x(x + 4)
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A rectangle has side links of 3X +6 inches and 2X -4 inches right in expression to represent perimeter of the rectangle then find the perimeter if X equals 9
Answer:
ez hi
Step-by-step explanation:
ez
Please help nobody wants to help me with this problem :,(
Answer:
x = 17
y = 2
Length of DF = 20
Step-by-step explanation:
Step 1: Solve x - 3
Since GH is the mid-segment it is equal to half of EFHalf of EF is 28/2 = 14x - 3 = 14x = 14 + 3x = 17Step 2: Plug x = 17 into x - 7 and solve
x - 7(17) - 7 = 10Since DH and HF are equal then x - 7 = y + 8So, 10 = y + 8y = 2Step 3: Find the length of DF
DF = y + 8 + x - 7DF = y + x + 1DF = 2 + 17 + 1 = 20a triangle has a base of 1.5
Answer: bro You need To add more about the question
Step-by-step explanation:
Write the equation of the line that passes through the points (2,-8)(2,−8) and (-1,4)(−1,4). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
The simplified point-slope form is y = 2x -12
A simple definition of point-slope form is a line equation written with only one point on the line and the slope of the line. (x, y) is the point form, and the slope is the rise over run or the ratio of the change in y values to the change in x values.
Given points (2,-8) and (-1,4)
We have to determine the answer in point-slope form
The slope formula provides the slope of the line:
m = (y2 -y1)/(x2 -x1)
m = (4 -(-8))/(-1-2) = 12/-3 = -4
the point-slope formula is given by
y-y1 = m(x-x1)
In terms of this formula:
m = 2
y1 = -8
x1 = 2
Let's simplify by plugging these values into the point-slope formula:
y - y1 = m (x - x1)
y - (-8) = (2)(x - 2)
y + 8 = 2(x - 2)
y + 8 = 2x -4
y = 2x -12
Therefore the simplified point-slope form is y = 2x -12
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The two-way frequency table contains data about how students access courses.
Traditional Online Row totals
Computer 28 62 90
Mobile device 46 64 110
Column totals 74 126 200
PLEASE What is the joint relative frequency of students who use a mobile device in an online class?
64%
55%
32%
23%
The joint relative frequency of students who use a mobile device in an online class is approximately 32%.
The joint relative frequency of students who use a mobile device in an online class, we need to divide the frequency of the intersection of the "Mobile device" and "Online" categories by the total number of students (200 in this case) and express it as a percentage.
From the given two-way frequency table, we can see that the frequency for the intersection of "Mobile device" and "Online" is 64.
The joint relative frequency can be calculated as:
Joint Relative Frequency = (Frequency of intersection / Total number of students) × 100
Joint Relative Frequency = (64 / 200) × 100
Joint Relative Frequency ≈ 32%
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31-62=152+2-6(3+21) i need the answer to this please help
Which is the following rational functions is graphed below
Answer:
B.) 1/(x+3)(x+5)
Step-by-step explanation:
Look for the x-intercepts and asymptotes on the graph to get the numerator and denominator
There are no x-intercepts, so the numerator is an integer
The asymptotes are -3 and -5, so the denominator would be (x+3)(x+5) since if you were to set that = to 0 you would get -3 and -5.
A small startup skateboard coMpany projects that the cost per month of manufacturing x skateboards will be C(x)= 10x +500 and the revenue per month from selling x skateboards will be r(x)= -x2+70x. Given that the profit is revenue minus cost for what values of x will the company break even or make a profit
The startup company needs to sell 68 skateboards in order to break even
Profit FunctionTo solve this problem, we have to find the profit of the company and what is required to break-even from total sales.
C(x) = 10x + 500
r(x) = -x² + 70x
Profit = revenue - cost
profit = (-x² + 70x) - 10x + 500
profit = -x² + 70x - 10x + 500
profit = -x² + 60x + 500
Solving the quadratic equation
x = 67.4 ≅68
For the startup to break even, they need to sell at least 68 skateboard.
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Nick bikes 39 miles in 2 hours while Jane bikes 34 miles in 5 hours. Who bikes faster Nick or Jane?
Answer:
Nick
Step-by-step explanation:
Nick: 39 miles / 2 hours = 19.5 miles per hour
Jane: 34 miles / 5 hours = 6.8 miles per hour
Nick is biking faster!
Make w the subject of the formula y - aw = 2w - 1
Answer:
[tex]w=\frac{y+1}{a+2}[/tex]
Step-by-step explanation:
[tex]y-aw=2w-1 \\ \\ y+1=2w+aw \\ \\ y+1=w(a+2) \\ \\ w=\frac{y+1}{a+2}[/tex]
the net of a prism is shown
a)how many faces
b)what is the mathmatical name
Answer:
????? you did not show the net of the prism
Step-by-step explanation:
Answer:
b) it's a polyhedron
I don't know what else to say
What expression represents the verbal phrase?
one-half times a number m plus twenty-five
Answer: m/2 + 25 or (0.5)m + 25
Step-by-step explanation:
There are 240 boxes with 25 bags of coffee each. I’d each bag weighs 0.62kg, what is the total weight of all the coffee? Round your answer to the nearest whole number
Answer:
3720 kg
Step-by-step explanation:
one bag of coffee weighs=0.62 kg
total no. of coffee bags= 240×25=600
total weight of coffee=6000×0.62= 3720
Using Pythagoras' theorem, work out the
length of the hypotenuse of this right-angled
triangle.
Give your answer to the nearest centimetre.
7 cm
19 cm
Not drawn accurately
Answer: About 20.25 or [tex]\sqrt{410}[/tex]
Step-by-step explanation:
a²+b²=c²
c is the hypotenuse in this equation, so we can substitute the given side lengths for a and b.
7²+19²=c²
49+361=c²
410=c²
Then we take the square root to get
about 20.25 or [tex]\sqrt{410}[/tex] to be exact
Answer:
Step-by-step explanation:
a² + b². =. c²
7² + 19². =. c²
49 + 361 (400). =. c²
. c = √400= 20cm
6. Which shows the decimals in the
correct order?
A. 5.271> 5.217 > 5.38
B. 5.38 5.217 > 5.271
C.
5.271
5.38 > 5.217
D. 5.38
5.271 > 5.217
Answer: D. 5.38 > 5.271 > 5.217
Rhea has 36 homework problems to complete. She completes 12 on Monday. On Tuesday, she completes 2/3 of the remaining problems. How many problems does Rhea still have to complete after Tuesday?
The number of problems Rhea still have to solve is 8
What is a fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator and the number at the bottom is called denominator. It tells how many equal parts of the whole or collection are taken.
On Monday Rhea solved 12 out of 36 problems. This means she has 36-12 = 24 problems remaining. On Tuesday she solved 2/3 of the remainder, which means she did 2/3×24= 16problems on Tuesday.
Therefore she will have 24- 16= 8problems to complete after Tuesday.
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Answer the questions on the function below:
What is the slope of the line?
What is the y-intercept?
What is the x-intercept?
Answer:
The slope of the line is 1/2.
The y-intercept of the line is 5.
The x-intercept of the line is 10.
Step-by-step explanation:
The y-intercept is where the line intercepts the y axis. (vertical line)
The x-intercept is where the line intercepts the x axis. (horizontal line)
The slope (rise over one) is a bit more complicated to find. First, pick two points on the line and determine their coordinates. Then, determine the difference in y-coordinates of these two points (rise). After that, determine the difference in x-coordinates for these two points (run). Then you have your slope!