Step-by-step explanation:
answer is C
we need a correct proportion
200 words = 1 minute
1 word = 0.3 second
two unit squares share the same center. the overlapping region of the two squares is an octagon with perimeter $\frac{10}{3}$. what is the area of the octagon?
Two unit squares share the same center. the overlapping region of the two squares is an octagon with perimeter 10/3. The area of the octagon is 0.833 square unit.
Let the octagon's eight successive vertices be A, B, C, D, E, F, G, and H.
Connect the squares' vertices to the shared center O by drawing the segments OA, OB, OC, OD, OE, OF, OG, and OH.
The octagon is divided into 8 triangles by the segments.
The bases of these triangles are AB, BC, CD, DE, EF, FG, GH, and HA; each triangle's height equals 1/2 of a unit.
Consequently, the octagon's surface area is
Area = (1/2) × (1/2) × (AB + BC + CD + DE + EF + FG + GH + HA)
Area = (1/4) × Perimeter of the octagon
Perimeter of the octagon = 10/3
Area = (1/4) × (10/3)
Area = 10/12
Area = 0.833 square unit.
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1 point
6. At five below there is a discount of $5 for every 4 items you buy. If the
receipt show discount of $20 how many items did you buy?*
HINT: This problem is similar to #6, page 90
O A You bought 20 items
B You bought 15 items
C You bought 16 itmes
D You bought 8 items
c. 5x4=20
4x4=16 items.
two years ago, you invested $3,300. today, it is worth $4,050. what rate of interest did you earn?
The investment earned a rate of interest of approximately 22.7%, indicating a positive growth of the investment over the two-year period.
The rate of interest earned can be calculated using the formula for compound interest:
Rate of Interest = [(Final Value - Initial Value) / Initial Value] * 100
Using the given information:
Initial Value = $3,300
Final Value = $4,050
Substituting these values into the formula:
Rate of Interest = [($4,050 - $3,300) / $3,300] * 100
Calculating the numerator:
$4,050 - $3,300 = $750
Substituting the numerator into the formula:
Rate of Interest = [$750 / $3,300] * 100
Simplifying the expression:
Rate of Interest = (750 / 3300) * 100
Dividing the numerator by the denominator:
Rate of Interest ≈ 0.227 * 100
Rate of Interest ≈ 22.7%
Therefore, the rate of interest earned on the investment is approximately 22.7%. The formula for calculating the rate of interest is derived from the concept of compound interest. It measures the percentage increase in the initial investment that results in the final value.
To calculate the interest earned, subtract the initial value from the final value. In this case, the initial value is $3,300 and the final value is $4,050, resulting in an increase of $750. Divide this increase by the initial value to get the fraction gained, then multiply by 100 to express the rate of interest as a percentage.
In the given scenario, the investment earned a rate of interest of approximately 22.7%, indicating a positive growth of the investment over the two-year period.
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Ben has a collection of 15 coins in quarters and dimes. there are 7 quarters in the collection. write the ratio of dimes to total number of coins in at least two different ways
Answer:
8:15, 8/15
Step-by-step explanation:
Total count of coins = 15
Total count of quarters = 7
Count of dimes = 15-7 = 8
Ratio of dimes to total number of coins = 8:15
= 8/15
The equation y = 3x + 1.25 represents the cost, y, in dollars, of bowling x games and renting a pair of bowling shoes. Shoes are rented for a flat rate that does not depend upon the number of games bowled. What does the slope of this equation represent? *
Answer:
Cost per game
Step-by-step explanation:
Given
\(y = 3x + 1.25\)
Required
What does the slope represent?
First, we need to determine the slope
A general equation is of the form
\(y = mx + b\)
Where
\(Slope = m\)
By comparing:
\(y = mx + b\) to \(y = 3x + 1.25\)
\(m = 3\)
Hence, the slope is 3
From the question we understands that a certain amount is paid per games.
This amount is represented by the rate or slope.
So:
The slope is the cost per game
Of a sample of 500 students surveyed, 300 students say they listen to music when they study. In a school with 1500 students, how many students would be likely to listen to music while studying? hi 300 students 500 students 900 students 1200 students
Given:
Surveyed Sample = 500 students
Number of students who listen to music = 300
The probability of students that listens to music is given by the formula:
\(pr\text{ =}\frac{number\text{ of students that listen to music}}{Total\text{ number of student}}\text{ =}\frac{300}{500}\)\(pr\text{ = }\frac{3}{5}\)In a sample of 1500 students, to find the probable number of students that will listen to music
we will multiply the probability we obtained initially by the sample space
=>
\(\begin{gathered} \frac{3}{5}\text{ x 1500} \\ \\ \frac{4500}{5} \\ \\ =900 \end{gathered}\)It is likely that 900 students will listen to music while studying
30/20+30/40 simplify the equation
Step-by-step explanation:
LCM of 20 and 40 is 40
So,
60/40+30/40
90/40.... Answer
hope it helps
Consider the expressions shown below Complete each of the following statements with the letter that represents the expression.
Answer:
Expression 1 is equal to B
Expression 2 is equal to A
Expression 3 is equal to C
Step-by-step explanation:
Step 1: Simplify 1st expression
3x² - 7x + 14 + 5x² + 4x - 6
8x² - 3x + 8
Step 2: Simplify 2nd expression
2x² - 5x - 3 - 10x² + 2x + 7
-8x² - 3x + 4
Step 3: Process of Elimination
Expression 1 is equal to B
Expression 2 is equal to A
Expression 3 is equal to C
Suppose that f(x)is a polynomial that has degree 6 and g(x) is a polynomial that has degree 3. If h(x) is also a polynomial such that f(g(x)) g(h(x)) h(f(x)) is a polynomial of degree 36, then what is the degree of the polynomial h?
The degree of the polynomial h(x) is 2.
The degree of a polynomial is determined by the highest power of the variable present in the polynomial.
Let's analyze the given expression:\(f(g(x)) \times g(h(x)) \times h(f(x)).\)
Since f(x) has a degree of 6, g(x) has a degree of 3, and h(x) is a polynomial, we can determine the degree of h(x) by examining the degree of the resulting polynomial.
When we substitute g(x) into f(x), the resulting polynomial will have a degree of\(6 \times 3 = 18,\) since we are effectively raising the degree of f(x) to the power of 3.
Similarly, when we substitute h(x) into g(x), the resulting polynomial will have a degree of \(3 \times h,\) since we are effectively raising the degree of g(x) to the power of h.
Lastly, when we substitute f(x) into h(x), the resulting polynomial will have a degree of h \(\times\) 6 since we are effectively raising the degree of h(x) to the power of 6.
Since the overall polynomial expression has a degree of 36, we can set up the equation:
\(18 + 3 \times h + 6 \times h = 36\)
Simplifying the equation, we get:
9h + 18 = 36
9h = 18
h = 2
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The current population of a small city is 38500 people. Due to a loss of jobs, the population is decreasing by an average of 150 people per year. How many years (from now) will it take for the population to decrease to 36400 people?
A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use X as your variable and use no commas in your equation.
B) Solve your equation in part [A] for X
Answer: Equation form: y=mx+b m=slope b=y-intercept slope= -375 y-intercept= 29000 equation: population now, 0 years x = years from now y= -375x + 29000 375x=3000 x=8
Step-by-step explanation:
The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of the quadratic function is (c) f(x) = 3(x - 1)² - 2
How to determine the equation of the quadratic function?From the question, we have the table of values that can be used in our computation:
A quadratic equation is represented as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
From the graph, we have the vertex to be
(h, k) = (1, -2)
Substitute (h, k) = (1, -2) in f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 1)² - 2
Also, from the graph, we have the point (0, 1)
This means that
a(0 - 1)² - 2 = 1
So, we have
a(1) = 3
Divide both sides by 1
a = 3
Substitute a = 3 in f(x) = a(x - 1)² - 2
f(x) = 3(x - 1)² - 2
Hence, the equation is f(x) = 3(x - 1)² - 2
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Simplify the expression (6^4)^2.What is the simplified form of this expression?
Answer:
6^8Step-by-step explanation:
Use of formula (a^b)^c = a^(bc)Simplify
(6^4)^2 = 6^(4*2) = 6^8Answer:
brainliest plsssssss
Step-by-step explanation:
(6^4)^2
=(6^4)^2
=(6^4) x (6^4)
=(6 x 6 x 6 x 6) x (6 x 6 x 6 x 6)
=6 x 6 x 6 x 6 x 6 x 6 x 6 x 6
=68
=1679616
A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 6.00 yards per second. What is his speed in furlongs per fortnight
To calculate the speed of a racehorse in furlongs per fortnight, we need to convert the given speed from yards per second to furlongs per fortnight/ The horse's speed would be 0.001694 furlongs per fortnight.
Given that the horse is running at a speed of 6.00 yards per second, we can convert this speed to furlongs per fortnight. First, we need to convert yards to furlongs by dividing by the conversion factor of 220 yards per furlong:
6.00 yards/s / 220 yards/furlong = 0.02727 furlongs per second
Next, we need to convert seconds to fortnights. Since there are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 14 days in a fortnight, we can perform the necessary conversions:
0.02727 furlongs/s * 60 s/min * 60 min/hour * 24 hours/day * 14 days/fortnight = 334.84 furlongs per fortnight
Rounding to the appropriate decimal places, the horse's speed is approximately 0.001694 furlongs per fortnight.
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in the next section of this study, you will be asked several questions. please do your best to answer as accurately as possible. the ages of mark and adam add up to 28 years total. mark is 20 years older than adam. how many years old is adam? if it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50 pages of paper
Adam is 4 years old.
It will take 50 seconds for 50 printers to print out 50 pages of paper.
Given that the ages of Mark and Adam add up to 28 years in total, and Mark is 20 years older than Adam.
We are supposed to find Adam's age.
Age of Adam = A
Age of Mark = A + 20
Sum of their ages = 28A + (A + 20) = 28
Therefore, 2A + 20 = 28
Therefore, 2A = 8
Therefore, A = 4
Therefore, Adam is 4 years old.
Now let's move to the second question.
Let the time taken to print 50 pages be T seconds. Number of printers = 50
Time taken to print 50 pages = T
Therefore, time taken to print 1 page = T/50
Number of printers = 10
Time taken to print 10 pages = 10
Time taken to print 1 page = 1
T/50 = 1
Therefore, T = 50
Hence, it will take 50 seconds for 50 printers to print out 50 pages of paper.
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I WILL GIVE YOU BRAINLIEST!!!
what is the greatest common factor of the term in the expression 73/ ab - 7/ 6 b?
Answer:
I tried solving it and I got an answer of 86c
Hope I helped!! :)
Step-by-step explanation:
Which of the following equation have no solutions?
A. -4x + 5 = -4x - 5.
B. 4x + 5 = -4x + 5
C. 5x + 5 = -4x - 5
D. -4x + 5 = -4x - 4
Answer:
A,
Step-by-step explanation:
Hey There. Your Answers Are A. And D.
Step-by-step explanation:
Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.
Translation: (x, y)→(x, y−1)
Reflection: in the y-axis.
Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In △RST;
The vertices are, R(4, 1), S(7, 3), and T(6, 4)
Here, Translation: (x, y) → (x, y−1)
And, Reflection in the y-axis.
Hence, New coordinate of the image of △RST are,
⇒ R' = (- 4, 1 - 1) = (- 4, 0)
⇒ S' = (- 7, 3- 1) = (- 7, 2)
⇒ T' = (- 6, 4 - 1) = (- 6, 3)
Thus, Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection is shown in figure.
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5
The favorite numbers of seven people are listed below.
What is the interquartile range of the numbers?
OA. 32
OB. 23
OC. 4
OD. 15
7, 29, 14, 2, 34, 6, 11
Reset
Submit
The value of the interquartile range of the numbers is,
⇒ IQR = 23
We have to given that,
Data set is,
⇒ 7, 29, 14, 2, 34, 6, 11
Now, We can find the first and third quartile of data set as,
Firstly we can arrange the data set in ascending order,
⇒ 2, 6, 7, 11, 14, 29, 34
Take first half for first quartile,
⇒ 2, 6, 7,
First quartile = 6
Take last half for second quartile,
⇒ 14, 29, 34
Second quartile = 29
Thus, The value of the interquartile range of the numbers is,
⇒ IQR = 29 - 6
⇒ IQR = 23
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What is the sum of negative nine and negative two?
Answer:
-7
Step-by-step explanation:
-9+(-2)
-9+2=
-7
3/2+1/6+2/3 as a mixed number
Answer:
\(2\frac{1}{3}\)
Step-by-step explanation:
The improper fraction was 7/3 put that into a mixed number it it 2 1/3.
.Evaluate the line integral ∫C F⋅dr where F= 〈−4sinx, 4cosy, 10xz〉 and C is the path given by r(t)=(2t3,−3t2,3t) for 0 ≤ t ≤ 1
∫C F⋅dr = ...........
The value of the line integral ∫C F⋅dr = 1.193.
To evaluate the line integral ∫C F⋅dr, we first need to calculate F⋅dr, where F= 〈−4sinx, 4cosy, 10xz〉 and dr is the differential of the vector function r(t)= (2t^3,-3t^2,3t) for 0 ≤ t ≤ 1.
We have dr= 〈6t^2,-6t,3〉dt.
Thus, F⋅dr= 〈−4sinx, 4cosy, 10xz〉⋅ 〈6t^2,-6t,3〉dt
= (-24t^2sin(2t^3))dt + (-24t^3cos(3t))dt + (30t^3x)dt
Now we integrate this expression over the limits 0 to 1 to get the value of the line integral:
∫C F⋅dr = ∫0^1 (-24t^2sin(2t^3))dt + ∫0^1 (-24t^3cos(3t))dt + ∫0^1 (30t^3x)dt
The first two integrals can be evaluated using substitution, while the third integral can be directly integrated.
After performing the integration, we get:
∫C F⋅dr = 2/3 - 1/9 + 3/5 = 1.193
Therefore, the value of the line integral ∫C F⋅dr is 1.193.
In conclusion, we evaluated the line integral by calculating the dot product of the vector function F and the differential of the given path r(t), and then integrating the resulting expression over the given limits.
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In the figure below, the measure of angle ABD = 64 degrees. The measure of angle ABC = 3x + 6. the measure of angle CBD = 2x - 2. Using the angle addition postulate, find the value of x.
Answer:
x=12
Step-by-step explanation:
just combine them so they equal the 64 then solve from there and you get 12.
what is the median of 8,12,10,5,2,10,17,20,14,22
Answer:
The median is 11.
Step-by-step explanation:
To find the median, you need to put all of the numbers in order.
In this case it would go:
2, 5, 8, 10, 10, 12, 14, 17, 20, 22
Now you find the middle number. Since there is an even amount of numbers, the median will fall between two different numbers. These numbers are 10 and 12. The median will be the number in between these two, which is 11. Therefore, the median is 11.
IM SO SORRY IF THIS DID NOT MAKE SENSE!
Please can someone answer this question, I never understand these and would like to know how to do them... QUESTION ATTACHED
Answer:
sqrt (2) * sqrt(45) + sqrt (2) * sqrt (80)
45 = 9 *5 "9" is a perfect square so
sqrt (45) = 3 * sqrt (5) * sqrt (2)
sqrt (2) * sqrt (80)
80 = 16 * 5 "16" is a perfect square so
sqrt (2) * sqrt (80) = sqrt (2) * 4 * sqrt(5)
Adding both answers we get
3 * sqrt (5) * sqrt (2) = 3 * sqrt(10)
PLUS
4 * sqrt (10)
which equals
7 * sqrt (10)
SO, the value of a is 7
Step-by-step explanation:
whats 2+999999999999999999999999999999999999999999999999999999999999
Answer:
400
Step-by-step explanation:
ANSWER
Answer:
1e+60
Please give me brainliest!! you'll get 25% of the points you give as well!!
If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
900 students attend Ridgewood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Divide/scale down to solve for the missing percent.
Answer:
5/100x900=180
Step-by-step explanation:
answer 180
Answer:
A. 240
B. 225
Step-by-step explanation:
50% of ? = 150
80% of ? = 150 x (80%/50%)
80/50 = 1.6
%/% = 1
1.6 x 1 = 1.6
80% of 300 = 150 x 1.6
150 x 1.6 = 240
80% of 300 = 240.
25% of 900 = ?
900 x 25 = 22500
22500/100 = 225
900 x 25% = 225
225 people bring their lunch to school on Thursday.
You are assigned some math exercises for homework.
You complete 87.5% of these before dinner.
How many do you have left to do after dinner if you completed 28 exercises before dinner?
Answer: 4 exercises
Step-by-step explanation:
If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.
Let "\(x\)" be the total number of exercises.
\(0.875x = 28\)
Solving for \(x\), we get:
\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)
Therefore, the total number of exercises is 32.
We completed 28 exercises before dinner, so we have: 32 - 28 = 4 exercises left to do after dinner.
________________________________________________________
To paint a house, a painting company charges a flat rate of 500 for supplies plus $50 for each hour of labor. What is the slope of the line? Use the sketch tool if it helps you with your thinking.What is the meaning of the slope in this context?
Answer:
slope = $50
Step-by-step explanation:
Given the linear equation, y = mx + b:
The slope (m) is the rate of change for every x number of labor hours. What this implies is that whenever the input (x-value) or the number of labor hours increases or decreases, the value of y (total cost) will increase by the given slope value.
Slope: The painting company charges $50 for every 1 hour of labor.
The y-intercept (b) represents the flat rate or initial value. In the given problem, it states that the company charges $500 for supplies. This means that regardless of whether the company finishes working on the painting job, they will charge their customers the flat rate.
Combined, the linear equation will be:
y = 50x + 500
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Someone help me please !!
(2.569
3
2. Stephanie has 3 bags of soil to put in her garden. Each bag of soil will cover 125 ft.
How many square feet will Stephanie be able to cover if she uses all these bags of soil?
(7.3A)
i cant understand your question define briefly