Step-by-step explanation:
A
for a linear function the slope ratio has to be the same between every pair of data points.
between (1, 4) and (2, 8) we have
x changes by +1 (from 1 to 2).
y changes by +4 (from 4 to 8).
the slope is
+4/+1 = 4
between e.g. (2, 8) and (3, 16) we have
x changes by +1 (from 2 to 3).
y changes by +8 (from 8 to 16).
the slope here is +8/+1 = 8.
which is not the same as 4.
so, it is not a linear function.
it is an exponential function.
B.
the function is actually
f(x) = y = 2^(x+1)
an exponential function is of the form
y = a^x
in our case we have
4 = a¹ = 2²
8 = a² = a¹×2 = 2² × 2 = 2^(2+1)
16 = a³ = a²×2 = a¹×2×2 = 2²×2×2
we see
f(n) = a1×2^(n-1) = 2²×2^(n-1) = 2^(n+1)
C.
the average rate of change is
(the difference of the function results at the interval ends) / (the difference of the interval ends).
so, in our case
(f(4) - f(2))/(4 - 2) = (32 - 8)/2 = 24/2 = 12
the average rate of change between stations 2 and 4 is 12 (or 12/1).
Answer:
Um in an old question of mine you said "its been forever". That was my elijahmiraclechild account. I don't really remember you but I would like to
Step-by-step explanation:
I want to know how to work out this question (question 20)
The value of c that satisfies the Mean Value Theorem for this problem are given as follows:
A. [tex]4\sqrt{3}[/tex]
How to obtain the value or values of c?The function for this problem is given as follows:
f(x) = x + 48/x.
The bounds of the interval are given as follows:
a = 3, b = 16.
The derivative of the function is given as follows:
f'(x) = 1 - 48/x².
The numeric value of the derivative at x = c is given as follows:
f'(c) = 1 - 48/c²
The numeric values of the functions at the bounds are given as follows:
f(b) = f(16) = 16 + 48/16 = 19.f(a) = f(3) = 3 + 48/3 = 19.Then the value of c is obtained as follows:
1 - 48/c² = 0/16
1 - 48/c² = 0
48/c² = 1
c² = 48
c = square root of 48.
[tex]c = \sqrt{16 \times 3}[/tex]
c = [tex]4\sqrt{3}[/tex]
Option A, as we have to be reminded that the interval is [3,16], hence the negative root is not considered.
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Rewrite tan 0 x csc 0 in terms of sine and cosine.
tan 0. csc 0 = ?
(Simplify your answer.)
pls help asap i can’t pass this class without passing this test
To rewrite the expression tan 0 x csc 0 in terms of sine and cosine, we can use the following trigonometric identities:
The reciprocal identity: csc 0 = 1/sin 0
The tangent identity: tan 0 = sin 0/cos 0
The Pythagorean identity: sin^2 0 + cos^2 0 = 1
Substituting these identities into the given expression, we get:
tan 0. csc 0 = (sin 0/cos 0) * (1/sin 0)
Using the reciprocal identity and the Pythagorean identity, we can simplify this expression further to get:
tan 0. csc 0 = (sin 0 * 1)/(cos 0 * sin 0)
Next, we can cancel out the sin 0 term on the numerator and denominator to get:
tan 0. csc 0 = 1/cos 0
Finally, we can use the Pythagorean identity again to rewrite the denominator as:
tan 0. csc 0 = 1/sqrt(1 - sin^2 0)
Therefore, the final simplified expression is:
tan 0. csc 0 = 1/sqrt(1 - sin^2 0)
This is the final answer.
HELPPP WILL MARK BRAINLIEST
Dimitri wrote the equations y = 3x and y = x + 3.
Use the drop-down menus to make true statements about the equations and the graph.
Graph of a diagonal line on a coordinate plane going up and to the left with x-axis and y-axis. Co-ordinates are (0,0) (1,3) and (2,6).
The equation
represents the graph. The point
is a point on the line that is NOT shown on the graph.
Answer:
Step-by-step explanation:
The coordinate point of intersection on the graph will be at (1.5, 4.5)
Given the equations Dimitri wrote expressd as:
y = 3x
y = x + 3
Since they are both y-values, we can equate the right hand side to have:
3x = x + 3
3x - x = 3
2x = 3
x = 3/2
x = 1.5
Get the value of y:
y = 3x
y = 3(1.5
y = 4.5
Answer:
I don't know this problem or the answer
Please help me! I will give you 10 points for this one! :D
Answer:
Below
Step-by-step explanation:
The change rate at the top of the mt is given as - 2.5 ° / hr
at the base it is 1/5th of this number
1/5 * -2.5 = - 0.5 °C per hour
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
a = 12, b = 12, C =
Pls. Help find these answers?!
Answer:
12
Step-by-step explanation:
Answer:
1) 12 boxes
2) 3, 6, 12
3) 12
4) 110 degrees
Step-by-step explanation:
1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.
Length: 4 boxes
Width: 3 boxes
4 x 3 = 12
12 boxes
2)
10% of 30 is 0.1 times 30.
0.1 x 30 = 30/10 = 3
20% of 30 is 0.2 times 20.
0.2 x 30 = 30/5 = 6
40% of 30 is 0.4 times 20.
0.4 x 30 = 30/2.5 = 12
3) Count the cubes. Reminder there are 2 boxes you cannot see.
Top Layer: 2
Middle Layer: 4
Back Bottom Layer: 4
Front Bottom Layer: 2
2 + 4 + 4 + 2 = 12
4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.
180/18 (The angle of each section)
10
11 Sections
10 x 11 = 110
Quadrilateral ABCD is rotated 90° clockwise to produce A'B'C'D' Is each statement true?
AB=A'B'
If AC BD, then A'C' B'D'.
m2ABC
Yes No
000
Answer:
all yes
Step-by-step explanation:
AB = A'B' → yes
If AC // BD, then A'C' // B'D' → yes
m∠ABC < m∠A'B'C → No
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
Quadrilateral ABCD.
After rotation of 90 degrees, Quadrilateral A'B'C'D'.
We see that,
The side length of the quadrilateral remains the same after rotation.
The parallel sides of the quadrilateral remain the same after rotation.
The angle of the quadrilateral remains the same after rotation.
Thus,
AB = A'B'.
If AC // BD, then A'C' // B'D'.
m∠ABC = m∠A'B'C.
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Please help me get this correct :(
Answer: ≈0.71
Step-by-step explanation: The real decimal would be 0.70710678118655. Yes, I know it is a big number. So, after doing some calculations, I got 0.5, remember we need to find the square root of 0.5. So, after finding that, I got 0.70710678118655. Which, your answer wants it to be rounded, so it would be D: ≈0.71
Plot the data points into the calculator. resize the window to fit the data and use the power regression function. what is the power regression equation for these data points? round to the nearest hundredth. y = 71.59x0.49 y = 72.49x0.50 y = 73.48x0.51 y = 72.34x0.50
Answer: B
Step-by-step explanation:
y = 72.49x0.50
Answer:
B
Step-by-step explanation:
edge2023 and because i said so ;)
what is the drag force on a 1.6 m wide, 1.4 m high car traveling at 10 m/s (≈ 22 mph)?
141.472 N of drag force is applied in 1.6m wide and 1.4m high car travelling at 10m/s
What is drag force?Drag force is the net force in the direction of flow experienced by any item moving through a fluid and is caused by pressure and shear stress forces acting on the surface of the object.
Formula of drag force is given by:
[tex]F_d = \frac{1}{2}C_dAPv^2[/tex]
where
[tex]F_d[/tex] = drag force (N)
[tex]C_d[/tex] = drag coefficient (1.05 for moving car)
P = density of fluid (1.2 kg/m3 for air at NTP)
v = flow velocity (m/s)
A = characteristic frontal area of the body
A = height * width
=> 1.6*1.4
so A=2.24 [tex]m^2[/tex]
and v=10 m/s
so [tex]F_d[/tex] = 1/2* 1.05 * 2.24 *( 1.2 *10*10)
=> 0.5*1.05*2.24 *122
=> 143.472 N
so [tex]F_d[/tex] = 143.472 N
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help me asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]1. = \frac{18}{12} [/tex]
[tex]2. = \frac{39}{30} [/tex]
[tex]3. = \frac{5}{15} [/tex]
[tex]4. = \frac{18}{14} [/tex]
[tex]5. = \frac{13}{20} [/tex]
Please help me answer this is question
Answer:
no. Only Lin is right.
Step-by-step explanation:
As you can see, 2.5 and d are multiplied with each other. To get rid of the 2.5, though, you’d have to do the inverse operation, which is division.
You know the slope and one point on a line that is not the y‑intercept. Why might you write the equation in point-slope form instead of slope-intercept form?
Answer:
I think either way is correct.
For a point (a, b), and slope m:
point-slope form: y - b = m(x - a)
slope-intercept form: b = ma + c, where c is the y-intercept.
which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths? 56 startfraction 28 over 5 endfraction
56 * (28/5) shows how the distributive property can be used to evaluate 7 times 8 and four-fifths.
7 times 8 = 56
4/5 = 28/5
Using the distributive property:
7 * 8 * (4/5) = (7 * 8) * (4/5) = 56 * (4/5) = 56 * (28/5) = 56 startfraction 28 over 5 endfraction
The distributive property states that for any numbers a, b, and c, a * (b + c) = a * b + a * c. To evaluate 7 times 8 and four-fifths, we can use the distributive property to separate the two factors. First, we calculate 7 times 8, which is equal to 56. Then, we calculate four-fifths, which is equal to 28/5. We then use the distributive property to multiply the two factors together, which is (7 * 8) * (4/5). This simplifies to 56 * (4/5) which is equal to 56 startfraction 28 over 5 endfraction.
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a high school student applies to seven colleges, each of which makes an admission decision by rolling a fair six-sided die and admitting the student if a 1 is rolled. what is the expected number of colleges to which the student is admitted?
The expected number of colleges to which the student is admitted .2344
What is permutation?The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.
Write examples of permutation in real life.Examples of permutations include arranging persons, digits, numbers, alphabets, letters, and colours. Examples of combinations include choosing the menu, the cuisine, the clothes, the subjects, and the team.
Let X= college to which student is admitted
We are given with n=7 and p=1/6
P(X=2)=⁷P₂[tex]\frac{1}{6^{2} }(1-\frac{1}{6}) ^{7-2}[/tex]
=.2344
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Some high school students conducted an experiment as part of their school project to understand the relationship between the height a parasail can attain and the speed of the motorboat that tows it. The data table lists their observation about the height of the parasail at different speeds. Which equation represents the height of the parasail (y) based on the speed of the motorboat (x)?.
Equation that represents the height of parasail (y) based on the speed of the motorboat (x) is given by y sinβ = Xt
What is parasail?
A kind of sports game where a person climbs in a parachute and the parachute is tied to a moving motorboat.
What is the relationship between height of parasail and speed of a motorboats?Generally, parasail is tied with a motorboat by a special chord. The position of chord of parasail is not properly perpendicular to the direction of boat moving on. There is an angle between the chord and horizontal surface of motorboat.
Let the angle is denoted by β
The vertical height of parasail over the boat=h
the length of chord that means distance from boat to the parasail = y
speed of boat = X
As per trigonometric formula, opposite/ hypotenuse = sinβ
sinβ = h/y
hence, height of parasail over the boat surface, h= y sin β
Now, from the height, speed and time equation
height = speed × time
at time t, the height of parasail ysinβ which attached to a boat of speed X can be represent by the equation.
y sinβ = Xt
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What is the Lcd of 11/12 and 1/2
LCD = 12
Equivalent Fractions with the LCD
11/12 = 11/12
1/2 = 6/12
Solution:
Rewriting input as fractions if necessary:
11/12, 1/2
For the denominators (12, 2) the least common multiple (LCM) is 12.
LCM(12, 2)
Therefore, the least common denominator (LCD) is 12.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
11/12 = 11/12 × 1/1 = 11/12
1/2 = 1/2 × 6/6 = 6/12
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a force of 10 pounds compresses a 21-inch spring 8 inches. how much work is done in compressing the spring from a length of 15 inches to a length of 13 inches?
The work is done in compressing the spring from a length of 15 inches to a length of 13 inches are the 0.897ftlb.
Work Done:According to the paintings-power theorem, the internet paintings performed on an item equals the alternate withinside the power of the item . If the simplest alternate withinside the power located is withinside the capability power (say U) of the item, then the internet paintings performed W=△U.
Answer and Explanation:When a spring is compressed x in with the aid of using a pressure F,
F=kx, where k is the spring constant.
Since it's miles for the reason that the spring is compressed to 8in from 21in, that is, a compression of (21−eight)=13in, we obtain
F=kx⇒k=Fx=10lb1312ft=12013lbft−1.
Using the theorem, the internet paintings performed on an item equals the alternate withinside the power of the item. In this situation the simplest alternate in power is withinside the capability power of the spring while it's miles compressed with the aid of using x gadgets of duration, which is 12kx2. (k is the spring constant.)
The capability power of the spring while it's miles compressed to 15cm=0.5k(21−1512)2
The capability power of the spring while it's miles compressed to 13cm=0.5k(21−1312)2
Work Done equals the alternate withinside the capability power while it's miles compressed from 15in to 13in
=0.5k[(21−1312)2−(21−1512)2]=0.512013[(21−1312)2−(21−1512)2]≈ 0.897ftlb
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Tanner wants to cover a hallway in his house with carpet it cost about four dollars to cover a square foot with carpet
hope this helps
Step-by-step explanation:
The Buffett Rule: Wealthy individuals often hire good accountants who find loopholes to lower their taxes. In addition, income from investments (e.g. Warren Buffett's fortune) is taxed differently than normal income. In 2011, Warren Buffett wrote an op-ed in the New York Times entitled, "Stop Coddling the Super-Rich." In it, he proposed what became known as the Buffett Rule: Tax codes must guarantee that the wealthy pay a higher dollar amount and a higher percent of their income in taxes. To do this, he suggested closing tax loopholes and raising taxes on investments. Discussion: Do you agree with Buffett that the wealthy should pay not only a higher dollar amount in taxes, but also a higher percent of their income in taxes? Why or why not?
Answer:
No, I do not agree with Buffett as the wealthy barely have any struggles, and them only paying less than a dollar in taxes will make the government add to the less fortunate. Meaning: If a large number of people aren't paying taxes, the government would not be getting a certain amount of money p/m&yr (per month and year), and that's a huge problem because hundreds of thousands of dollars are being spent every day. And where does the government get that income? We, the givers. And so if they aren't reaching that expectation, where will they get it from? And it's likely that they will add to the less fortunate. Which is terrible. That can lead to putting thousands of people in debt leaving them miserable with nothing
Step-by-step explanation:
The
is a natural 'reservoir'
for dissolved carbon dioxide. What one word completes the sentence?
Answer:
The oceans – the largest CO2-reservoir
Step-by-step explanation:
The oceans absorb substantial amounts of carbon dioxide, and thereby consume a large portion of this greenhouse gas, which is released by human activity.
The ocean is a natural 'reservoir' for dissolved carbon dioxide.
We have,
The _____________ is a natural 'reservoir' for dissolved carbon dioxide.
Oceans absorb large amounts of carbon dioxide consuming a large portion of greenhouse gas such as carbon dioxide which is released by human activity.
Oceans are the largest carbon dioxide reservoir.
Thus,
The ocean is the answer.
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Solve for X.
A. 5 degree
B. 7 degree
C. 6 degree
D. 4 degree
Help!!!
Answer:
x = 4°
Step-by-step explanation:
The box in the top right angle of the diagram lets us know that all of these angles equal 90° !
To find x, we just need to do simple algebra and use the info above.
21x + 6 = 90 °
21x = 90 - 6
21x = 84
x = 84 / 21
x = 4°
a class has 11 students who are to be randomly assigned seating. what is the probability that the students will be arranged in order from shortest to tallest? (assume that no two students are the same height.)
The Probability that the student will arranged in order from shortest to tallest is 2.505210.
Probability is a branch of math which deals with the numerical description of certain events is to occur. It is the ratio of the numbers of favorable outcomes to the total number of outcomes. When solving probability problems we need to consider series of random experiments or experiments that involve several different aspects, such as drawing two cards from a deck or rolling several dice. the ability to calculate relative frequencies requires counting the number of possible outcomes of the experiment
If a class has 11 students who are to be randomly assigned seating in the order of shortest to tallest.
The total outcomes= 11! = 39916800
here the total favorable outcome is 1.so,
Probability = 1 / 39916800
= 2.505210
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Let the graph of g be a translation 2 units right followed by a horizontal shrink by a factor oft of
the graph of f(x) = x^2 + x. Write a rule g.
Answer:vertical
Step-by-step explanation:
What is the multiplicative rate of change of the exponential function represented in the table? 1. 5 2. 25 3. 0 4. 5.
The multiplicative rate of change of the exponential function is 1.5
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The general form of the geometric sequence is an=a1r(n−1),
where r is the common ratio
a1 is the first term
n is the placement of the term
Now, use the geometric sequence formula to solve for the rate:
an=a1r^(n-1)
6.75=4.5r^(2-1)
6.75=4.5r
6.75/4.5=r
r= 1.5
and if you want to make sure just multiply each number by 1.5 and see if it gets you the next number
4.5 4.5×1.5=6.75 (holds true)
6.75 6.75×1.5=10.125 (holds true)
10.125 10.125×1.5=15.1875 (holds true)
15.1875
1.5 is the multiplicative rate.
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y is directly proportional to x².
Given that y = 87.5 when x = 5, work out the value of y when x = 6.
If your answer is a decimal, then round it to 1 d.p.
Answer:
y = 126
Step-by-step explanation:
#2 Dr. Mandel purchased a used car for $11,325. Her state charges 8% tax for the car, $53 for license
plates, and $40 for a state safety and emissions inspection. How much does she need to pay for
these extra charges, not including the price of the car?
Your query has an answer of Extras charges = $999.
What does math's % mean?
In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
What is the formula's percentage?
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
Detailed explanation:
Data
Total cost: $11.325
8% state tax
$53 for license plates
$40 for an emissions inspection.
Process
1.- Determine the 8% of the car's cost.
11325 ———————— 100%
x ———————- 8%
x = (8 x 11325)/100
x = 90600/100
x = $1,066.16 in state taxes
2. Determine the entire cost.
Charges total $906 plus $53 plus $40.
= $ 999
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can anybody explain this or tell me the answer?
The required probability of P(Girls/Sophomore) is 0.9.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Data are shown in the table, P(Girls/Sophomore) is to be determined.
In order to determine the probability of the girls over Sophommer,
From,
P(A|B) = P(A ∩ B) / P(B)
P(Girl | Sophomore ) = P(Girl ∩ Sophomore ) / P(Sophomore)
Substitute the value in the above equation,
P(Girls/Sophomore) = 9 / 10
Thus, the required probability of P(Girls/Sophomore) is 0.9.
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Karen runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?
Answer:
2.8 miles
Step-by-step explanation:
in 60 minutes = 7 miles
in 1 minute = 7/60 miles
In 24 minutes = 7/60 × 24
Hope this helps.
Answer: She would run 2.8 miles in 24 minutes.
Step-by-step explanation:
[tex]\frac{x}{24minues} =\frac{7miles}{60minues}[/tex]. we cross multiply it, then we got:
60x = 7(24)
60x = 168
x = 2.8 miles
There are 10 finalists in a figure skating competition. How many ways can gold, silver, and bronze medals be awarded?
The gold, silver, and bronze medals can be awarded in ????
ways.
The gold, silver, and bronze medals can be awarded in 720 ways.
What is Permutation?
The permutation is the number of ways to arrange the specified number of things out of the total available number of things, it is calculated by using excel function(=PERMUT(r, n)).
Given data,
n=10, r=3
Number of ways gold, silver, bronze can be awarded to 10 finalists is = nPr =10P3
=720
720 ways gold ,silver and bronze can be arranged.
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