Answer:
x ≤ -17
Step-by-step explanation:
Lana had 475 Pokemon cards. She gave her little brother 125 of her cards. What percentage of her cards did Lana give away?
So, Lana gave away 26.32% of he Pokemon cards to her little brother.
To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.
In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:
(125 / 475) * 100 = 0.2632 * 100 = 26.32%.
Lana gave away 26.32% of her Pokemon cards to her little brother.
Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:
Percentage given away
= (Cards given away / Total cards) * 100
= (125 / 475) * 100
= 26.32%.
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Find the equation that has a slope of -2 and passes through the point (0,4)
Answer:
y=-2x+4
Step-by-step explanation:
equation: y-y1=m(x-x1)
x1=0,y1=4,m=-2
y-4=-2(x-0)
y-4=-2x
y=-2x+4
which table represents a linear function?
Answer:
the first
Step-by-step explanation:
(ii) If p = 5 and 9 a) If x = (a + 7) and y = (a - 7), show that a? = xy + 49
After a rainy spring, beavers build a dam that stretches 235 feet across and is 3 feet tall. around the bend, the river is narrower, so a second beaver dam spans 115 feet across. if the proportions of the two dams are the same, how tall is the second dam?
Answer:
well,
Step-by-step explanation:
as you see.....uhhh.....hmmmm.....if you first a _________________________________
find the general solution of the given differential equation and use it to determine how solutions bebave as t 2y′ y=5t2
Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.
The general solution of the given differential equation `2y′ y = 5t²` and using it to determine how solutions behave as t is discussed below:Solving the differential equation:
Separating the variables of the differential equation `2y′ y = 5t²` we get:dy/y = (5/2)t² dtIntegrating both sides, we have:ln|y| = (5/6) t³ + C1
Taking the exponential of both sides, we get:y = Ke^(5t³/6) , where K = ± e^(C1) is a constant of integration.
The general solution of the given differential equation is given by `y = Ke^(5t³/6)` where `K` is a constant of integration.
How solutions behave as `t`:When `t → ∞` (i.e., as t grows large), `e^(5t³/6) → ∞`. So solutions of the given differential equation `y′ y = 5t²` grow exponentially as `t → ∞`.
When `t → -∞` (i.e., as t gets very negative), `e^(5t³/6) → 0`. So solutions of the given differential equation `y′ y = 5t²` approach `y = 0` as `t → -∞`.
Thus, the general solution of the given differential equation `2y′ y = 5t²` is `y = Ke^(5t³/6)` where `K` is a constant of integration.
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help me pls
Find the value of x.
Answer:
33
Step-by-step explanation:
The bottom angle is a completely straight line, and that means the angle is 180 degrees.
180 - 81 = 99
So, this means 3x = 99. We need to isolate the variable, so we have to divide everything by 3.
x = 33
Answer:
waaait i know how to do this lol ( i feel like this is correct)
x = 33
Step-by-step explanation:
so a line is 180 right?
so make the equation like this
180 = 81 + 3x
now solve for x by doing algebra
(minus both sides by 81)
3x = 99
x = 33
There were 24 students in all at the Arts and Academic Academy
program.
9 Students studied Art.
11 Students studied Music.
8 students studied Dance.
3 students studied Art and Music.
4 students studied Art and dance
5 students studied Music and Dance
2 students studied Art, Music and Dance.
Question: How many students did not study Art, Music, or Dance?
Answer: 0 students did not study Art, Music, or Dance.
Step-by-step explanation:
Traveling 15 miles in 20 minutes, how many miles per hour must you be going?
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation
Juan has just completed a 15 kilometer race in 20 minutes. What was his average speed in kilometers per hour?
Solution
First, 15 kilometers is a distance, so
d = 15
Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute. We need to convert 20 minutes to hours. Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took
t = 20 minutes / 60 minutes per hour = 1/3 hours
Now we can use the d=rt equation:
15 = (r)(1/3)
If we multiply both sides
(3)(5) = (r)(1/3)(3) or r = 45
Juan's average speed was 45 kilometers per hour.
Factoriza la diferencia de cubos
1) 8x³ -64
2) 125x³- 64y{6}
3) 8a³- 27b³
4) 27a³- 27b³
Answer:
The first one will be equal 2
Because
\( \frac{ - 64}{8} = - 8\)
\(x ^{3} = 8 \\ \)
\( \sqrt[3]{ - 8} = - 2\)
Oh sorry i read the question wrongly i thought you wanted the value of x
Step-by-step explanation:
main formula used
a³-b³=(a-b)(a²+ab+b²)
Which of the following equations is equivalent to y= -3x=4A. y= -3x + 4 B. y - 7 =3(x - 1) C. y- 10 = 3( x - 2) D. y - 10 = 3( x - 1)
Step 1
Rearrange the equation
\(\begin{gathered} y-3x=4 \\ y=4+3x \end{gathered}\)Step 2
Test all options by rearrangement
Option A
\(\begin{gathered} y=\text{ -3x +4} \\ \text{This is not equivalent to the given equation} \end{gathered}\)Option B
\(\begin{gathered} y-7=3(x-1) \\ y=3x-3+7 \\ y=3x+4 \\ y=\text{ 4 + 3x} \\ \text{Hence option B is an equivalent} \end{gathered}\)Option C
\(\begin{gathered} y-10=3(x-2) \\ y=\text{ 3x-6+10} \\ y=\text{ 3x +4} \\ y=\text{ 4+3x} \\ \text{Hence option C is equivalent} \end{gathered}\)Option D
\(\begin{gathered} y-10=3(x-1) \\ y=\text{ 3x-3+10} \\ y=\text{ 3x+7} \\ y=\text{ 7+3x} \\ \text{Hence option D is not equivalent} \end{gathered}\)Hence, the equivalent options to the equation are options B and C
Convert the following repeating decimal to a fraction in simplest form.
.71
Answer:
71/100
Explanation:
As you can see, the decimal ends at the hundredths place, so the fraction is 71/100. Its simple! If the number end at the tenths, hundredths, or thousandths, just take that number and do it like this! 38/1,000
Hope this helped! ;)
find the measurement K explain in detail how do you solved for measurement k or upload a picture of your detailed work
Answer:
m<K = 63
Step-by-step explanation:
Exterior angle thm:
6x - 9 + 4x + 7 = 118
10x - 2 = 118
10x = 118 + 2
10x = 120
x = 12
m<K:
6x - 9
6(12) - 9
72 - 9
63
How to solve -6v - 5 > 13
Answer:
you use division then add then you get the answer
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+y=12 and -x=-y-10
A (9, 3)
B (10, 2)
C (11, 1)
D (8, 4)
Find the value of the unknown in the figure below
b =(17,6x 8,9):19,7=7,95
pls help this is kinda hard and it’s due in 45 minutes
Answer:
16.8 inches
Step-by-step explanation:
Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8
Answer and Step-by-step explanation:
First, write down what we know.
Length of Rectangle = \(5\frac{3}{5}\)
Width = \(\frac{Length}{2}\)
2 ways to solve this:
1st way:
If we convert the fraction into a decimal, then we can easily find the width.
\(5\frac{3}{5}\) can be solved by making the mixed number into a improper fraction.
Multiply the denominator (5) by the whole number (5), then add the numerator (3). This number is 28. Replace the 3 with the 28, and now we have \(\frac{28}{5}\). This number is equal to 5.6.
Now, we have to divide this number.
5.6 divided by 2 is equal to 2.8.
So, the width is equal to 2.8.
Now, we add the width and length together twice to get the perimeter of the rectangle.
2.8 + 2.8 + 5.6 + 5.6 = 16.8
So, the answer is A. 16.8 inches.
2nd way:
Since we know that the width is half of the length, we can just add the length by itself 3 times, since two of the widths combined will equal the length.
5.6 + 5.6 + 5.6 = 16.8
So, the answer is A. 16.8 inches.
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I need help on this
A quarter circles fits exactly into a square of side 4 cm, as shown.
Determine the area of the shaded region, giving your answer correct to 3 significant figures.
Side of square = Radius of circle = 4cm
Area of full circle
= πr²
= (22/7) × 4cm × 4cm
= 352/7 cm²
Area of the quarter of circle
= Area of full circle/4
= (352/7)/4
= (352/7) × (1/4)
= 352/28
= 12.571 {approximately}
What is the answer to this question?
Answer:
x = 1/5
Step-by-step explanation:
yeah-ya........ right?
A rectangle is drawn so that the width is 2 feet shorter than the length. The area of the rectangle is 63 square feet. Find the length of the rectangle
Answer:
9
Step-by-step explanation:
An investor invests $525 in stock. For each month following, the stock increased at a rate of $25 per
month
Identify the slope of the linear relationship. Explain what the slope represents in the context of the
problem
• identify the y-intercept of the linear relationship. Explain what the y-intercept represents in the
context of the problem.
Create a model/build the function/write the equation in slope-intercept form to represent the total
value of the stock, f (2), based on the number of months, I.
Answer: f(x) = mx+ b
slope = m = $25 / month
This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.
y-intercept = b = $525
This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.
f(x) = mx+ b = 25x + 525
Step-by-step explanation:
What is the volume of this figure?
A three-dimensional figure that is composed of two rectangular prisms. Prism A has a length of 2 inches, a width of 5 inches, and a height of 6 inches. Prism B has a length of 6 inches and a height of 1 inch. The width is unknown but can be determined by the width of prism A.
80 in.3
90 in.3
140 in.3
160 in.3
The volume of the figure is B. 90 cubic inches.
How to calculate thisTo determine the volume of the figure, we need to find the volume of each prism and then add them together.
The volume of Prism A is:
Volume of A = length x width x height = 2 in x 5 in x 6 in = 60 cubic inches
To find the width of Prism B, we can use the fact that it shares a side with Prism A. Since Prism A has a width of 5 inches, we know that Prism B must also have a width of 5 inches.
The volume of Prism B is:
Volume of B = length x width x height = 6 in x 5 in x 1 in = 30 cubic inches
Therefore, the total volume of the figure is:
Total Volume = Volume of A + Volume of B = 60 cubic inches + 30 cubic inches = 90 cubic inches
So the volume of the figure is 90 cubic inches.
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Ayana has saved $200 and spends $25 each week. Michelle just started saving $15 per week. in how many weeks will Ayana and Michelle have the same amound of money saved?
Answer:
In 5 weeks, Ayana and Michelle have the same amount of money saved
(Namely $75)
Step-by-step explanation:
Ayana has $200 and spends $25 per week.
Michelle has $0 and saves $15 per week.
So, after one week,
Ayana has $200 - $25 = $175
Michelle has $0 + $ 15 = $15
After 2 weeks,
Ayana has $175 - $25 = $150
Michelle has $15 + $15 = $30
After 4 weeks,
Ayana has $150 - $50 = $100
Michelle has $30 + $30 = $60
After 5 weeks,
Ayana has $100 - $25 = $75
Michelle has $60 + $15 = $75
So, in 5 weeks, Ayana and Michelle have the same amount of money saved
Ayana and Michelle will have the same amount of money saved in 5 weeks.
To calculate the number of weeks Ayana and Michelle will take to have the same ammount of money, we have to make use of assumption. The reason for this is, as the number of weeks are yet to be found, so the value can only be found by substituting that particular entity into a variable.
Let's assume that number of weeks Ayana and Michelle will take to have the same ammount of money is "x".
So, Amount saved by Ayana after x weeks will be $200 - $25*x,
Amount saved by Michelle in x weeks will be $15 * x.
In the question, we have been told that Ayana and Michelle have the same amount of money saved, So we need to equate to above two equations to find the value of "x".
$200 - $25*x = $15 * x
$200 = $15 * x + $25*x
$200 = $40*x
$200 / $40 = x
x = 5
Therefore, Ayana and Michelle will take 5 weeks to have the same amound of money saved.
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Let (θ) - sin 2θ and g(θ) = cotθ (1-cos 2θ). Use the function to answer the following questions. a. For what exact value(s) off θ is f(θ) = sinθ on the interval π/2<0<π. Show your work. b. For what exact value(s) of θ is 2/(θ) -√3 on the interval 0<θ ≤ 2π. Show your work. c. Using trigonometric identities, analytically show that f(θ) = g(θ) for all values of θ. Consider the functions f(θ) - cos 2θ and g(θ) - (cosθ+ sin θ)(cosθ-sinθ).
a. Find the exact value(s) on the interval 0<θ ≤ 2π for which 2(θ)+1=0. Show your work. b. Find the exact value(s) on the interval π/2<θ< π for which f(θ) = sinθ Show your work. c. To three decimal places, find the values of f (π/8) and g (π/8) d. Would your results from part c) hold true for all values of θ. Justify your answer.
a. The value of θ such that f(θ) = sinθ on the interval π/2<0<π is π/2.
b. The exact value of θ such that 2/(θ) -√3 on the interval 0<θ ≤ 2π is 2/√3 radians.
c. f(θ) = g(θ) for all values of θ.
d. the results from part c) would not hold true for all values of θ.
f(θ) = sinθ
g(θ) = cotθ (1-cos 2θ)
(θ) - sin 2θ
Let's solve the given questions,
a. On the interval π/2<0<π, sinθ is positive.
Therefore,
f(θ) = sinθ
For exact value(s), we need to check for the value of θ in the interval π/2<0<π
Therefore, f(π/2) = 1
f(π) = 0
Thus, the value of θ such that f(θ) = sinθ on the interval π/2<0<π is π/2.
b. 2/(θ) -√3 = 0
=> 2/(θ) = √3
=> θ = 2/√3
Therefore, the exact value of θ such that 2/(θ) -√3 on the interval 0<θ ≤ 2π is 2/√3 radians.
c. Using trigonometric identities, analytically show that f(θ) = g(θ) for all values of θ.
Consider,
f(θ) - cos 2θ = sinθ - cos 2θ
= sinθ - (1-2sin²θ)
= 2sin²θ - sinθ - 1
Now,
g(θ) - (cosθ+ sin θ)(cosθ-sinθ)
= cotθ (1-cos 2θ) - cos²θ + sin²θ
= cos²θ/sinθ - cos²θ/sinθ - cosθ/sinθ.sinθ + sin²θ/sinθ
= (sin²θ - cos²θ)/sinθ
= sinθ - cos 2θ
Therefore, f(θ) = g(θ) for all values of θ.
d. f(π/8) = sin(π/8) = 0.382
g(π/8) = cot(π/8)(1-cos(2π/8)) = 2.613
Since f(θ) and g(θ) have different values for the same angle π/8, the results from part c) would not hold true for all values of θ.
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Will give brainiest so can you please help
The answer is
\( {x}^{2} {y}^{3} \)
I hope this helps, have a great day!
Sheryl makes $7 per pair of earrings, e and $13 per necklace, n, she sells what expression represents her total income
Answer:
You just need to create an expression with the variables then add them together to get the total income: 7e + 13n
What is the median of this data set?
The median of the given data set as required to be determined in the task content is; 4.
What value represents the median of the data set?It follows from the task content that the value which represents the median of the data set is to be determined.
By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.
Consequently, the median of the data set as required is; 4.
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The middle person in a row is the 16th, how many persons are in the row?
Answer:
There are 31 people in the row
Step-by-step explanation:
Let us say that the number of people in the row is = x
We can also assume that the people arranged in the row are counted from one end.
The median value can be got using the formula:
median (middle person) = (n +1 )/2
where n = number of people in the row
hence, we will have
16 = (n +1)/2
n = 32 -1 =31
Therefore, there are 31 persons in the row
is bionic in maths or a scientific word
Answer: bionic is a scientific word
Step-by-step explanation:
An international fast food chain is looking at opening a new franchise in Emerald, Queensland. They contact a marketing research firm to help them assess the level of interest in the restaurant within the town. From a list of all the residential addresses in Emerald, the firm selects a simple random sample of 100 and mails a brief questionnaire to each. The population of interest is
Select one:
a. all people in Emerald, Queensland.
b. all adults in Emerald, Queensland.
c. the 100 addresses to which the questionnaire was mailed.
d. the people in Emerald who eat fast food.
e. all residential addresses in Emerald, Queensland.
The population of interest is: A. all people in Emerald, Queensland.
The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.
Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.
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