Answer:
Step-by-step explanation:
You can do this in two steps.
4s * (5s^2 + 10s + 3) Remove the brackets
20s^3 + 40s^2 + 12 s
2(5s^2 + 10s + 3)
10s^2 + 20s + 6
Now add them
20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6
Rearrange them so the like terms are together.
20s^3 + 40s^2 + 10s^2 +12s + 20s + 6
20s^3 + 50s^2 + 32s + 6
increase £142 by 34%
Add £48.28 to £142 so you get £190.28
AnswerAnswerAnswerAnswer:
190.28
Step-by-step explanation:
£142 + 34% = £142 x 1.34 = 190.28
suppose a processor has instructions which use a 32-bit address. the main memory it’s attached to is 256 mb, and the main memory can contain 65,536 pages.
In the given scenario, the processor has a 32-bit address, and the main memory it is attached to has a capacity of 256 MB and can contain 65,536 pages.
A 32-bit address means that the processor can address 2³² (4,294,967,296) unique memory locations.
However, in this case, the main memory has a capacity of 256 MB, which is equivalent to 256 * 2²⁰bytes (268,435,456 bytes).
To determine the number of pages, we need to divide the memory size by the page size. Since the number of pages is given as 65,536, we can calculate the page size as 268,435,456 / 65,536 = 4,096 bytes.
Since the processor has a 32-bit address, it can address 2³² unique memory locations.
However, the main memory can only contain 65,536 pages, and each page is 4,096 bytes in size. T
his means that the processor can address a larger number of memory locations than the physical memory can accommodate. To access data beyond the capacity of the main memory, the processor would need to use virtual memory techniques such as paging or segmentation.
These techniques allow the processor to access data stored in secondary storage devices, such as hard drives, as if it were in main memory.
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What is 40% of 400?
1600%
Remember use benchmark percentages to partition the number line.
Example, 5%, 10%, 20%, and 25%
Answer:
idfk good luck
Step-by-step explanation:
I need help with this question pls!
Answer:
Answer is D
Step-by-step explanation:
cuh s
3. Karrie was late to work 14 times last year.
she worked 250 days last year, what perc
of the days was she late?
On solving the provided question, we can say that percentage of the days was she late = 14/250 * 100 = 5.6%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Karrie was late to work = 14 times last year.
she worked = 250 days last year
percentage of the days was she late = 14/250 * 100 = 5.6%
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Jack is 10 years old. Kylie is 17 years old. Vanessa is 23 years old. Kylie and Vanessa share £16 in the ratio of their age. Kylie gives 20% of her share jack. Vanessa gives quarter of her share to Jack. How much money does Jack receive?
Answer:
£3.66
Step-by-step explanation: if you need it :D
17 + 23 = 40
40 = 16 what about 17
16 × 17 = 272 ÷ 40 = £6.8
16 - 6.8 = £9.2
20% of £6.8 = £1.36
1/4 of £9.2 = £2.3
1.36 + 2.3 = £3.66
Can you mark my answer brainliest? Tysm! :D
-Eli
m*n= \(\sqrt{x} mn-n2, then 5 *3\\\)
Devise an algorithm that finds all terms of a finite sequence of integers that are greater than the sum of all
previous terms of the sequence.
This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.
To devise an algorithm that finds all terms of a finite sequence of integers that are greater than the sum of all previous terms of the sequence, follow these steps:
Start by defining the input sequence as a list or an array of integers. Let's call it `sequence`.
Initialize an empty list or array called `results` to store the terms that meet the condition.
Initialize a variable called `sum_of_previous_terms` and set its value to 0. This variable will be used to store the sum of all previous terms in the sequence as we iterate through it.
Loop through the sequence using a for loop, comparing each term with the sum of all previous terms.
a. For each term in the sequence, compare it with the value of `sum_of_previous_terms`.
b. If the term is greater than `sum_of_previous_terms`, add it to the `results` list or array.
c. Update the value of `sum_of_previous_terms` by adding the current term to it.
Continue the loop until all terms in the sequence have been checked.
After the loop is completed, return the `results` list or array, which contains all the terms that meet the condition.
Here is the algorithm in a more concise form:
Input: `sequence` (a list or array of integers)
Initialize: `results` (an empty list or array), `sum_of_previous_terms` (0)
For each term in `sequence`:
a. Compare the term with `sum_of_previous_terms`
b. If term > sum_of_previous_terms, add term to `results`
c. Update `sum_of_previous_terms` with the current term
Return `results`
This algorithm efficiently finds all terms in a finite sequence of integers that are greater than the sum of all previous terms in the sequence.
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if tan of theta =3/4 what is sec of theta
Answer:
5/4
Step-by-step explanation:
Given :
tanθ = 3/4 = opposite/adjacentFinding the missing side :
The hypotenuse must be found√3² + 4²√255Taking the sec ratio :
secθ = hypotenuse/oppositesecθ = 5/4Find the volume of a rectangular prism with the following dimensions:
Length = 5 ft
Width = 4 ft
Height = 10 ft
210 ft3
220 ft3
190 ft3
200 ft3
Answer:
The answer is D, 200
Step-by-step explanation:
Since the formula for the volume of a rectangular prism is V = lwh, we multiple the length, width, and height together. This works for any rectangular prism.
V = lwh = 5 * 4 * 10 = 200
Answer:
200 ft3
Step-by-step explanation:
Translate the sentence into an equation.Twice the difference of a number and 2 is 6.Use the variable y for the unknown number.
• so we know the final number is 6 so lets look at the rest of the question:
,• Let unknown number = y
,• so ( y-2 ), so twice the difference of a number 2 is 6 will be expressed as follows :
2(y-2) = 6
The difference between the park and house of a student is 1Km 575m. Every day he walks both ways between the park and his house. Find the total distance covered by him in a week's time?
The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.
To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.
Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.
In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.
Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.
Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.
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Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
If a varies directly with b, and a=8 when b=20, what is the value of a when b=14.5?
Since we know that a varies directry with b, this means that
\(\frac{a}{b}=k\)where k is a proportional constant.
If we plugg in the values we have we can find k. Then
\(\begin{gathered} k=\frac{8}{20} \\ =\frac{2}{5} \end{gathered}\)Therefore, in our case
\(\frac{a}{b}=\frac{2}{5}\)Now we want to know the value of a when b=14.5, plugging the value in the last equation we have
\(\frac{a}{14.5}=\frac{2}{5}\)Now we solve for a
\(\begin{gathered} \frac{a}{14.5}=\frac{2}{5} \\ a=\frac{2}{5}\cdot14.5 \\ a=2.8 \end{gathered}\)Therefore, when b=14.5 than a=2.8.
Find the product of 8(477- 18).
Answer:
3672
Step-by-step explanation:
According to BODMAS first we will remove the bracket and then we will multiply
477-18=459
459×8=3672
Use an appropriate substitution to solve 2yy' + x^2 + y^2 + x = 0.
The general solution to the differential equation is y = [-(1/4)x^2 - (1/3)x + (C/4)]^(1/3).
To solve 2yy' + x^2 + y^2 + x = 0 using an appropriate substitution, we can substitute u = y^2. Taking the derivative of u with respect to x, we get du/dx = 2yy'. We can then rewrite the original equation as 2(u^(1/2))(du/dx) + x^2 + u + x = 0.
This is now a separable differential equation, where we can move the u term to the right side and the x terms to the left side: 2(u^(1/2))du/u = -(x^2 + x)dx. Integrating both sides, we get 4/3u^(3/2) = -(1/3)x^3 - 1/2x^2 + C, where C is the constant of integration.
Substituting back u = y^2, we get 4/3y^3 = -(1/3)x^3 - 1/2x^2 + C.
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what proportion of tickets sold are adult tickets? (image)
Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x) = x3 – 4x2 – 16x + 64
Answer:
all x intercepts [-4, 0] [4, 0]
Step-by-step explanation:
x-intercept, i.e. y=0
f(x) = x^3 - 4x^2 - 16x + 64 = 0
(x^3 + 4^3) - 4x^2 - 16x = 0 [FYI, x^3 + y^3 = (x + y)(x^2 - xy + y^2)]
(x + 4)(x^2 - 4x + 16) - 4x^2 - 16x = 0
(x + 4)(x^2 - 4x + 16) - 4x(x + 4) = 0
(x + 4)(x^2 - 4x + 16 - 4x) = 0
(x + 4)(x^2 - 8x + 16) = 0
(x + 4)(x - 4)^2 = 0
x = -4 or 4
all x intercepts [-4, 0] [4, 0]
Step-by-step explanation:
one thing immediately catches the eye : the factors of the terms in the function follow the powers of 4 :
4⁰, 4¹, 4², 4³
and they are going against the powers of x :
x³ has the factor 4⁰
x² has the factor 4¹
x has the factor 4²
x⁰ has the factor 4³
with that we see that one 0 solution (an x- intercept) is x = 4.
f(4) = 4³ - 4×4² - 4²×4 + 4³ = 4³ - 4³ - 4³ + 4³ = 0
so, the functional expression is
(x-4)(x² + ...)
the other 2 zero solutions are covered by the quadratic term.
to get the quadratic term we divide f(x) by (x-4).
x³ - 4x² - 16x + 64 ÷ x - 4 = x² - 16
- x³ - 4x²
-----------------------------
0 0 - 16x + 64
- - 16x + 64
----------------------‐--------
0 0
so,
f(x) = (x - 4)(x² - 16)
and as we know
(a² - b²) = (a + b)(a - b)
we get
f(x) = (x - 4)(x + 4)(x - 4) = (x - 4)²(x + 4)
so, x = 4 counts as 2 zero solutions, it is a point, where the curve makes a turn and only touches the x-axis, but does not fully intercept it (in the sense to continue on the other side of the x-axis).
and x = -4 is the third zero solution.
so, the x-intercepts are at x = -4, +4
n a survey of randomly selected people, the ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5. if 21 people said they prefer oatmeal, how many said they prefer eggs?
The number of people who prefer eggs is 35.
In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent. A ratio might be formatted as a Part to Part or Part to Whole comparison. A Part to Part comparison looks at two individual quantities within a ratio of greater than two numbers, such as the number of dogs to the number of cats in a poll of pet type in an animal clinic. A Part to Whole comparison measures the number of one quantity against the total, such as the number of dogs to the total number of pets in the clinic.
Let the number of people who prefer eggs be x.
21 people said they prefer oatmeal.
The ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5.
∴ \(\frac{21}{x} = \frac{3}{5} \\x = \frac{21*5}{3}\\ x = \frac{105}{3} \\x = 35\)
Thus, the number of people who prefer eggs is 35.
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expand (x-5)(x+2)(x+7)
Answer:
x³ + 4x² - 31x - 70
Step-by-step explanation:
Step 1: Expand (x - 5) and (x + 2)
(x - 5)(x + 2) = x² + 2x - 5x - 10 = x² - 3x - 10
Step 2: Expand (x² - 3x - 10) and (x + 7)
(x² - 3x - 10)(x + 7) = x³ - 3x² - 10x + 7x² - 21x - 70 = x³ + 4x² - 31x - 70
A group of 8 people on a trek have
enough water to last 9 days.
If 4 more people join the trek, how long
will the water supply last the whole
group?
This question is about ratios. Initially, 8 people have enough water for 9 days. When 4 more people join, the water supply will now last for 6 days.
Explanation:This question involves a concept of Mathematics, specifically in the area of ratios or proportions. The initial premise is that 8 people on a trek have enough water to last them for 9 days. We can express this ratio as 8:9, which means for every 8 persons, the group can sustain its water supply for 9 days.
Now, we must calculate what would happen if 4 more people join the trek. Since now there are 12 people (8 original + 4 new), the new ratio becomes 12:9. However, the amount of water remains fixed. We can find the number of days the water will now last by dividing the quantity of water by the increased number of people, i.e., 9 days * (8 people/12 people) = 6 days.
So, when 4 more people join the group, the water supply will last the whole group for 6 days.
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where do i put the lines ? also is it a function
okay if I'm doing this right then
-3 goes to 1
-2 goes to 0
1 goes to 2
3 goes to -4
-3 goes to 5
I think you put the x to the y ones
let x be a random variable with cdf f (x)=0, x< 2
=(x - 2)/2 2 ≤ x < 4
=1, x ≥
a. find the pdf of x. b. find p x (2 / 3 < x < 3). c. find p x( x > 3.5). d. find the 60th percentile. e. find p x( x = 3 ).
For the random variable x with CDF f(x) the answer of the following are,
a. The pdf should be non-zero only within the range 2 ≤ x < 4 that is
f(x) = 1/2, 2 ≤ x < 4
= 0, elsewhere
b. P(2/3 < x < 3) = 7/6.
c. P(x > 3.5) =0.
d. 60th percentile = 3.2.
e. P(x = 3) = 0.5.
a. To find the probability density function (pdf) of x,
Differentiate the cumulative distribution function (CDF) with respect to x within the appropriate intervals,
For 2 ≤ x < 4
f(x)
= d/dx [(x - 2)/2]
= 1/2
For x ≥ 4
f(x)
= d/dx [1]
= 0
Since the pdf should be non-zero only within the range 2 ≤ x < 4, we have,
f(x)
= 1/2, 2 ≤ x < 4
= 0, elsewhere
b. To find P(2/3 < x < 3), integrate the pdf within the given interval.
P(2/3 < x < 3) = \(\int_{2/3}^{3}\) f(x) dx
Since the pdf is constant 1/2 within the interval [2, 4], we have,
P(2/3 < x < 3) = \(\int_{2/3}^{3}\) (1/2) dx
= (1/2) \(\int_{2/3}^{3}\) dx
= (1/2) [x] evaluated from 2/3 to 3
= (1/2) [3 - (2/3)]
= (1/2) [9/3 - 2/3]
= (1/2) [7/3]
= 7/6
Therefore, P(2/3 < x < 3) is equal to 7/6.
c. To find P(x > 3.5), we integrate the pdf from the lower bound of 3.5 to positive infinity,
P(x > 3.5) = \(\int_{3.5}^{\infty}\) f(x) dx
Since the pdf is zero for x ≥ 4, we have:
P(x > 3.5) = \(\int_{3.5}^{\infty}\) f(x) dx
= \(\int_{3.5}^{4}\) 0 dx
= 0
Therefore, P(x > 3.5) is equal to 0.
d. The 60th percentile represents the value x for which the cumulative distribution function (CDF) is equal to 0.6.
0.6 = F(x)
From the given CDF,
0.6 = (x - 2)/2
x - 2 = 1.2
x = 3.2
Therefore, the 60th percentile is 3.2.
e. To find P(x = 3), we need to evaluate the CDF at x = 3,
P(x = 3) = F(3)
From the given CDF,
F(3)
= (3 - 2)/2
= 0.5
Therefore, P(x = 3) is equal to 0.5.
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The above question is incomplete, the complete question is:
let x be a random variable with cdf
f (x)=0, x< 2
=(x - 2)/2 , 2 ≤ x < 4
=1, x ≥ 4
a. find the pdf of x.
b. find p x (2 / 3 < x < 3).
c. find p x( x > 3.5).
d. find the 60th percentile.
e. find p x( x = 3 ).
A video game arcade offers a yearly membership with reduced rates for game play. a single membership costs $60 per year. game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens
The function's y-intercept is $60.
The equation y = 1/10x+60 can be used to express the function.
y| y 60 is the range.
The equation for the annual cost in dollars, y, based on x, the quantity of game tokens purchased for an arcade member, is represented by the following statements:
A) The function's y-intercept is $60.
B) The equation y = (1/10)x + 60 can be used to express the function.
C) y ≥ 60 is the range.
Typically, the slope-intercept form of the equation of a line is expressed as;
y = mx + c
Where;
the slope is m.
C is the y-intercept.
The input variable or domain is called x.
The output variable or range is called y.
As of right now, we're informed that a single membership costs $60 annually. This is the cost before any input, in this case, the purchase of game tokens.
It follows that the y-value intercept is $60.
According to what we've been told, members can purchase Game tokens for a discounted price of $1 for every 10 tokens. This implies;
y/x = 1/10
Thus, slope = 1/10
Putting this function's equation in slope intercept form now yields
y = (1/10)x + 60
The quantity of game tokens purchased is now limited to a minimum of 0. Thus;
Therefore, Domain; x ≤ 0
The price cannot be less than $60 since x ≤ 0.
Therefore, Range; y ≥ 60
Complete Question: A video game arcade offers a yearly membership with reduced rates for gameplay. A single membership costs $60 per year. Game tokens can be purchased by members at the reduced rate of $1.00 per 10 tokens. Which statements represent the function of the yearly cost in dollars, y, based on x, the number of game tokens purchased for a member of the arcade? Select three answers. The slope of the function is $1.00. The y-intercept of the function is $60. The function can be represented by the equation y = y equals StartFraction 1 Over 10 EndFraction x plus 60.X + 60. The domain is all real numbers. The range is {y| y ≥ 60}.
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Which options shows the correct first step to solve the system of equations?
5x + 3y = 4
y = 2x
O 5x+3(5x)=4
O 5(2x)+3y=4
O 5x+3(2x)=4
O 5x+3y=2x
Answer: 5x+3(2x)=4
Step-by-step explanation:
5x+3y=4 (1)
y=2x (2)
Substitute the equation (2) into the equation (1):
5x+3(2x)=4
7t=x, for t
Show your work!
Answer:
.
Step-by-step explanation:
Answer:
\(t=\frac{x}{7}\)
Step-by-step explanation:
You need to isolate the variable t. Use inverse operations for this.
7t can be seen as 7×t, and the opposite of multiplication is division. Divide both sides by 7:
\(\frac{7t}{7}=\frac{x}{7}\\\\t=\frac{x}{7}\)
The common term 7 on the left side cancels out.
:Done
How do you write coordinates for translation?
Coordinates (x ,y ) of the given geometrical figure after translation is written as ( x + h , y + k ) where h ∈ R and k ∈ R.
As given in the question,
Let us consider the coordinates of any geometrical figure is represented by ( x, y ) in the coordinate plane.
Translation is the representation of transformation the change in the location of the given geometrical figure without change in the shape and size.
It can be translated in four ways :
Translation to the right is written as ( x + h , y )
Translation to the left is ( x - h, y)
Translation in the up is ( x, y + k )
Translation in the down is ( x , y - k ).
Therefore, the original coordinate ( x ,y ) after translation written as
( x + h , y + k ) where h ∈ R and k ∈ R.
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PLEASE HELP I WILL MARK BRAINLIEST!!!! :)
Given:
The stem-and-leaf table of a data set.
To find:
The median of the given data set.
Solution:
In the stem-and-leaf table 1|2 can be written as 12. So, the data values from the given stem-and-leaf table are:
05, 05, 07, 08, 09, 10, 12, 14, 14, 14, 15, 15, 16, 19, 19, 21, 22, 24, 25, 28
Here, the number of observations = 20, which is an even number. So,
\(Median=\dfrac{\dfrac{n}{2}\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}\)
\(Median=\dfrac{\dfrac{20}{2}\text{th term}+(\dfrac{20}{2}+1)\text{th term}}{2}\)
\(Median=\dfrac{10\text{th term}+11\text{th term}}{2}\)
From the given data set, it is clear that the 10th term is 14 and the 11th term is 15.
\(Median=\dfrac{14+15}{2}\)
\(Median=\dfrac{29}{2}\)
\(Median=14.5\)
Therefore, the median number of hits is 14.5.
PLS HELP GIVING POINTS !! :))
To find the area I times the two sides together
The area of a rectangle is calculated by multiplying its two sides together. This is because a rectangle is a shape with four straight sides, and the area of a rectangle is the amount of space inside the rectangle.
What is the rectangle ?A rectangle is a four-sided shape with four right angles and four equal sides. It is a type of quadrilateral, which means it has four sides. Rectangles are the most common type of shape and can be found in many areas of life, from art to architecture and engineering. Rectangles are sometimes referred to as geometric shapes and are used to define and measure space.
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The complete question is: How do you find an area with two sides?