Answer: 7
Step-by-step explanation: cause I took the quiz…
A survey was conducted of students at a high school and at a college to determine students' favorite subjects. The results are shown on the table.
Answer:
Step-by-step explanation:
Answer:
The answer is 35%
Let f(x,y,z)=(x^2)(y^3)+(z^3) and x=(s^2)*(t^3),y=s*t , and z=(s^2)*t .∂x/∂s=?
The value of ∂x/∂s is 4s^2 * t^6.
To find ∂x/∂s, we need to differentiate x with respect to s while treating t as a constant. Let's begin by substituting the given expressions for x, y, and z into the function f(x, y, z):
f(x, y, z) = (x^2)(y^3) + z^3
Substituting x, y, and z:
f(s, t) = ((s^2)(t^3))^2 * (s*t)^3 + ((s^2)*t)^3
Expanding the expression:
f(s, t) = (s^4 * t^6) * (s^3 * t^3) + (s^6 * t^3)
Now, let's differentiate x with respect to s:
∂x/∂s = ∂/∂s [(s^2)(t^3)]^2
Using the chain rule, we can differentiate each term separately:
∂x/∂s = 2 * (s^2 * t^3)^1 * ∂/∂s [(s^2)(t^3)]
Differentiating (s^2)(t^3) with respect to s:
∂/∂s [(s^2)(t^3)] = 2s * t^3
Substituting back into the expression for ∂x/∂s:
∂x/∂s = 2 * (s^2 * t^3)^1 * 2s * t^3
Simplifying:
∂x/∂s = 4s^2 * t^6
Therefore, ∂x/∂s = 4s^2 * t^6.
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The figure shows the graph of the function f(x)=
To find the domain and range of a function f(x), we need to consider the values that x can take and the corresponding values of f(x).
How to find domain and range of a function?The domain of a function is the set of all possible input values, or x-values, for which the function is defined. In other words, it is the set of values that x can take without resulting in an undefined output. Typically, the domain is specified by any restrictions on the input, such as square roots, fractions, logarithms, or division by zero.
The range of a function is the set of all possible output values, or y-values, that the function can produce. In other words, it is the set of values that f(x) can take on, as x varies over the domain.
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Given question is incomplete. Subject may be asking: Write the domain and range of function f(x).
Which of the following is equivalent to 75/100? A 2/3 B 10/15 C 25/50 D 15/20
Answer:
D. 15/20
Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.
Answer:
D 15/20
Step-by-step explanation:
F(x+h)=4x^2+3x-4
Please help a girl out :)
The Evaluation of the function F(x+h) = 4\(x^{2}\) + 3x - 4 is 41.
While evaluating the function F(x+h) = 4\(x^{2}\) + 3x - 4, .we need to substitute (x+h) in place of x in the function and simplify the expression.
F(x+h) = 4\((x+h)^2\) + 3(x+h) - 4
Expanding the squared term \((x+h)^2\), we get:
F(x+h) = 4\((x^2 + 2xh + h^2)\) + 3(x+h) - 4
Now, distribute and simplify:
F(x+h) = 4\(x^2\) + 8xh + 4\(h^2\) + 3x + 3h - 4
This is the expression for F(x+h). It is a quadratic function in terms of both x and h, with coefficients 4, 8, 4, 3, and -4.
To evaluate the function at a specific value, let's say x = 2 and h = 1, we substitute these values into the expression:
F(2+1) = 4\((2^2)\) + 8(2)(1) + 4\((1^2)\) + 3(2) + 3(1) - 4
= 16 + 16 + 4 + 6 + 3 - 4
= 41
Therefore, when x = 2 and h = 1, F(x+h) = 41.
Note: The above explanation provides the general evaluation process for the given function F(x+h) = 4\(x^2\) + 3x - 4 and includes an example evaluation at specific values of x and h. The expression can be further simplified or manipulated based on specific requirements or mathematical operations.
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The question was Incomplete, Find the full content below :
Evaluate the Function F(x+h)=4\(x^2\)+3x-4
i need help with these asap
Answer:
Step-by-step explanation:
a) (72 + 78 + 80 + 85 + 85 + 92 + 96) / 7 = 588 / 7 = 84 mean
b) (72 + 78 + 80 + 85 + 85 + 92 + 96) 85 median
1 2 3 4 3 2 1
c) (72 + 78 + 80 + 85 + 85 + 92 + 96) 85 mode
1 1 1 2 1 1
d) the sum of the difference of median and scores is greater below the median than it is above the median
e) (588 + 100) / (7 + 1) = 688/8 = 86
PLSSS HELP!! Ty whoever helped me! :) Question: Select the statement that is true about the two-dimensional figure.
A quadrilateral with the vertices labeled L, M, N and O. Angles M L O and L M N are greater than 90 degrees, and angles L O N and M N O are less than 90 degrees.
∠LMN is an acute angle.
∠LMN is an obtuse angle.
∠MNO is an obtuse angle.
∠MNO is a right angle.
∠LMN is an obtuse angle.
==========================================
Explanation
Let's go through the answer choices to see which are true, and which are false.
A. This is false. It is stated that "LMN is greater than 90 degrees", so this angle is obtuse. Acute angles are less than 90 degrees.B. This is true. See choice A above.C. This is false. We're told that "angle MNO is less than 90 degrees". That makes the angle acute. D. This is false. See choice C above. Right angles are 90 degrees exactly. Often a small square marker is used to denote a 90 degree angle.I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.
Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.
Using the law of sines, we can set up the following equation:
sin(50°) / 150 = sin(60°) / x
To solve for "x", we can rearrange the equation:
x = (150 * sin(60°)) / sin(50°)
Using a calculator, we can evaluate the expression:
x ≈ (150 * 0.866) / 0.766
x ≈ 168.4 ft
Therefore, the distance between Basti and Cian is approximately 168.4 ft.
8(3x-2)-8x=9(2x-6) find x
Answer:
x=19
Step-by-step explanation:
8(3x-2)-8x=9(2x-6) Distribute.
24x-16-8x=18x-54 Combine like terms.
16x-16=18x-54 Subtract 16x from both sides (getting rid of a variable first
-16x -16x is easier).
-16=2x-54 Add 54 to both sides.
+54 +54
38=2x Divide both sides by 2.
/2 /2
19=x
Hope this helps!! Have a great day ^^
Maria is renting kayaks from a local shop that charges a $7 fee, plus an hourly rate of $5. 50. For how long can maria rent the kayak if she pays a total of $40?.
The number of hours Maria rent the kayak for the paid amount of $40 when hourly rate is $5.50 is equal to 6 hours.
Fees of renting charges paid for kayaks from a local shop = $7
Hourly rate = $5.50
Let 't' be the number of hours Maria rent kayak.
Total fees paid by Maria for renting kayak for 't' hours is equal to $40
Required equation to represents the above condition is
$40 = $7 + $5.50t
Simplify the expression to get the value of 't'
⇒ 5.50t = 40 - 7
⇒ t = 33 / 5.50
⇒ t = 6 hours
Therefore, for the number of hours Maria rent kayak by paying total of $40 is equal to 6 hours.
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For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the new equation, find x if the point P(x, 4) lies on the new line. y=3x-1 y=1/4 x+2
Answer:
The answer is below
Step-by-step explanation:
a) y=3x-1
The standard equation of a line is given by:
y = mx + c
Where m is the slope of the line and c is the intercept on the y axis.
Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:
3 × d = -1
d = -1/3
To find the equation of the perpendicular line passing through (0,0), we use:
\(y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x\)
To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x:
\(y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12\)
b) y=1/4 x+2
Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:
1/4 × f = -1
f = -4
To find the equation of the perpendicular line passing through (0,0), we use:
\(y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x\)
To find x if the point P(x, 4) lies on the new line, insert y = 4 and find x:
\(y=-4}x\\ 4=-4x\\x=-1\)
Find the equation of the line.
Use exact numbers.
Answer:
y = - 3x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = \(\frac{1-7}{2-0}\) = \(\frac{-6}{2}\) = - 3
the line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 3x + 7 ← equation of line
The equation of the line in fully simplified slope-intercept form is y = -2.8x + 7
Writing the equation of the line in slope-intercept form.The linear graph represents the given parameter
For the graph, we have the points
(0, 7) and (25, 0)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 7
Using the point (2.5, 0) on y = mx + 7, we have
m(2.5) + 7 = 0
2.5m + 7 = 0
Evaluate
m = -2.8
So, we have
y = -2.8x + 7
Hence, the equation of the line in fully simplified slope-intercept form is y = -2.8x + 7
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Which equation could represent each grapes polynomial function?
9514 1404 393
Answer:
top graph: y = x(x +3)(x -2)bottom graph: y = x⁴ -5x² +4Step-by-step explanation:
Each x-intercept at x=a corresponds to a polynomial factor of (x -a).
__
The top graph has x-intercepts of -3, 0, +2, so the factors of this cubic are ...
y = (x +3)(x -0)(x -2)
y = x(x +3)(x -2) . . . . . . . matches upper right tile
__
The bottom graph has x-intercepts of -2, -1, 1, 2, so the factors of this quartic are ...
y = (x +2)(x +1)(x -1)(x -2) = (x² -4)(x² -1)
y = x⁴ -5x² +4 . . . . . . . matches lower left tile
Ivy bought 10 packs of cups for her holiday party. A pack of MEDIUM cups costs $1.80 and a pack of LARGE cups costs $2.40. She paid a total of $21.60. How many packs of each size cup did she buy? First complete the equations below, where M stands for packs of Medium and L stands for packs of Large cups. 1.80M + 2.40L = 21.60; M + L = 10 Now use the equations to find the number of packs of medium and large cups. [?] packs of medium cups; [] packs of large cups Enter
Answer:
Large=6, medium=4
Step-by-step explanation:
Write the compound inequality, or inequalities. Draw and label a number line and graph the inequalities. 9 Julie does her homework either between 4:00 and 6:00 p.m. or between 8:00 and 10:00 p.m.
Explanation
Step 1
let
x= the time Julie does her homework
Step 2
convert words into math terms
Julie does her homework either between 4:00 and 6:00,
\(\text{ 4 }<\text{ x}<6\)Julie does her homework between 8:00 and 10:00 p.m.
\(8Step 3now, solve the inequalities
\(\begin{gathered} 4Julie can work either option 1 OR option 2, so the answer is a union \((4,6)\cup(8,10)\)Researchers recorded that a group of
bacteria grew from 125 to 2,500 in 24 hours. At this
rate of growth, how many bacteria will there be
in 35 hours from the start of the experiment? Round
to the nearest whole number.
Answer:
The number of bacteria grown in 35 hours is 15771
Step-by-step explanation:
It is given that,
Researchers recorded that a group of bacteria grew from 100 to 7,000 in 14 hours.
Therefore, the bacteria has grown from 100 to 7000 in 14 hours.
To calculate number of bacteria grown in 14 hours :
⇒ 7000 - 100 = 6900
6900 bacteria grows in 14 hours. We need to find out the growth of bacteria in 1 hour in order to calculate its growth in 32 hours.
To calculate number of bacteria grown in 1 hour :
⇒ Total bacteria growth in 14 hours / 14
⇒ 6900 / 14
⇒ 492.85
To calculate number of bacteria grown in 32 hours :
⇒ 492.85 × 32
⇒ 15771.2
⇒ 15771 (rounded to nearest whole number)
∴ The number of bacteria grown in 32 hours is 15771
Hope this answer helps you :)
Have a great day
Mark brainliest
To determine if a new sandwich on the menu is preferred more than the original, the manager of the restaurant takes a random sample of customers that have tried both
sandwiches and asks them which sandwich they like best.
A- Survey
B- Observational Study
C- Experimental
D- This is not a statistical question.
answer: A survey
explanation: The manager of the restaurant is conducting a survey to determine which sandwich is more preferred by customers. He is taking a random sample of customers that have tried both sandwiches and asking them which sandwich they like best. The survey method is a statistical way of collecting data and it is a non-experimental design, because the manager is not controlling the variables that may affect the outcome. The outcome of this survey is based on the customers' preference of the sandwiches, and it is a way to gather data on their opinion
Determine the measure of the arc CED
Answer:kbef;eohrjkvoubwe
cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?
A.
Kendall might be determined to be insane and not qualified to testify.
B.
The evidence in Kendall’s case is inconclusive and doesn’t prove anything.
C.
Kendall is an expert witness who has testified many times before.
D.
The police think it will hurt their case if Kendall chooses to testify.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Arc length= \(\frac{interior angle}{360} 2\pi r\)
Simplify the complex number i^28 as much as possible.
let's recall that i⁴ = 1 so then \(i^{28}\implies i^{4\cdot 7}\implies (i^4)^7\implies (1)^7\implies 1\)
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $75 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answer:
5
Step-by-step explanation:
You start with each membership for each gym as your starting point, then you add the personal sessions to that number.
Silver Gym: 25 65 105
Fit Factor: 75 105
As you can see, it will take Sarah 5 sessions to have both costs equal
A track team ran 8 and 3/4 miles (mi) in 5 days. If they ran the same distance each day, how far did they run in one day?
Answer:
1.75
Step-by-step explanation:
First I converted
8 3/4 to 8.75
then I divided
8.75 / 5
= 1.75
The team ran 1.75 miles each day if they ran the same distance each day.
What is the division operation?
In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
A track team ran 8 and 3/4 miles (mi) in 5 days.
To find out how far the track team ran in one day, you need to divide the total distance run by the number of days.
8 and 3/4 miles = 8.75 miles (by converting mixed numbers to decimal)
total distance = 8.75 miles / 5 days
Apply the division operation, and we get
total distance = 1.75 miles/day
Therefore, the team ran 1.75 miles each day.
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Complete the square to transform the expression x ^ 2 - 2x - 2 into the form a * (x - h) ^ 2 +
k.
(x - 1) ^ 2 + 3
(x - 1) ^ 2 - 3
(x - 2) ^ 2 - 3
O (x - 2) ^ 2 + 3
By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.
How to complete the square in a quadratic equation
In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:
y = C · (x - h)² + k
First, write the polynomial in standard form:
x² - 2 · x - 2
Second, use algebra properties to expand the expression:
(x² - 2 · x - 2) + 0
(x² - 2 · x - 2) + 3 - 3
(x² - 2 · x + 1) - 3
Third, use the definition of perfect square trinomial:
(x - 1)² - 3
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plz help i will give brainliest
the following questions use 3, 6, 5, 4, 7, 5, 6, 4 Round any decimal numbers to the
hundredths place.
4. Find the mean.
5. Find the median.
Answer:
Mean: 5
Median: 5
Step-by-step explanation:
To find the mean you have to add up all the numbers then divided by the total number of numbers you have.
- 3+6+5+4+7+5+6+4=40
- There are 8 numbers so we would do 40 divided by 8 to get our answer,5
To find the median you have to put the numbers from least to greatest then you have to find the middle number.- 3,3,4,4,5,5,6,6,7
You start by taking one number from the smallest number then from the largest number.
-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5
You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.
бx + 8 = 50
I need that answer
Answer:
=
7
Step-by-step explanation:
the set of lowercase words of length 8 in which each distinct letter appears exactly twice (e.g., approora, yetiteyi, tunantau).
There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.
What are the Lowercase Words?To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:
C(26, 4) = 26! / (4! * 22!) = 14,950
Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:
Choose the first pair: we can choose any of the 4 letters, so there are 4 options.Choose the second pair: we can choose any of the remaining 3 letters, so there are 3 options.Arrange the pairs: there is only one way to arrange the pairs.Therefore, the total number of such words is:
4 * 3 * 1 = 12
Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:
aabbccddaabbddccaaccbbddaaccddbbaaddbbccaaddccbbbbaaccddbbaaddccbbcc aaddbbdd aaccccdd aabbddcc aabbLearn more about lowercase words here: https://brainly.com/question/16397886
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suppose you have a biased coin with probability p of heads. flip the coin until two tails appears. find probabiility
Let's call the event of flipping two tails in a row "success." The probability of success on any given flip is (1-p) ^2.
The number of flips required to get two tails in a row is a random variable, which we can calculate the expected value of. This expected value can be calculated as an infinite sum:
E = 1 * (1 - (1-p) ^2) + 2 * (1-p) ^2 * p + 3 * (1-p) ^2 * (p^2) + ...
This sum can be simplified using geometric series formula:
E = 1 / (1 - (1-p) ^2 * p)
So, the expected number of flips required to get two tails in a row with a biased coin with probability p of heads is given by the above formula.
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The model below is composed of a rectangle and a semicircle find the area of the figure 16 and 18
Answer:
11. AREA=AREA 9F RECTANGLE +AREA OF SEMICIRCLE
AREA=LW+0.5pie×r²
r=18in/2=8in
Area=18in×36in+0.5×3.14×(9in)²
Area=648in²+127.17in²
Area=775.17in²
area=775.2in²
12. Area of the shaded region=Area of rectangle-area of semicircle
r=5in/2=2.5in
=LW-0.5pie×r²
=6in×5in-0.5×3.14×(2.5in²)
=30in²-9.8124in²
=20.2in²
hope it helped, please mark me brainliest
Amy paid $17.50 to buy 6 youth tickets and 1 adult ticket to a
school carnival. Karlie paid
$22.50 to buy 3 youth tickets and 3 adult tickets at the carnival.
What was the price of an
adult ticket?
Answer:
6y + a = 17.5
3y + 3a = 22.5
-2(3y + 3a) = 22.5(-2)
-6y - 6a = -45
+ 6y + a = 17.5
-5a = -27.5
a = 5.50
Step-by-step explanation: