Answer:
Step-by-step explanation:
The unknown is 5 I.e
1+5 = 6
5 + 5 = 10
8 + 5 = 13
Then n + 5
1.2 recognizing function worksheet
Answer: Perhaps you did a typo..?
Step-by-step explanation: I know all about functions, but there seems not to be a worksheet. Perhaps you didn't add it on, or it's just me. But anyways, I would absolutely adore and love to help when you add it on. I wish you the best of luck
Which expression represents the phrase The sum of w and twenty
A. 20w
B. w + 20
C. w^20
D. 20 x w
find the lcm 15 and 20
Answer:
5
Step-by-step explanation:
Given the function f(x) = 8x+2, evaluate f(6),
Answer:
f(6)=50
Step-by-step explanation:
f(6)=8(6)+2
f(6)=48+2
f(6)=50
Answer: 50
Step-by-step explanation:
f(6) =8(6)+2
f(6)=48+2
f(6)=50
NO LINKS!! URGENT HELP!!!!!
Write a rule for the nth term of the geometric sequence. Then find a_9.
13. 7, -35, 175, -875, . . .
14. 104, -52, 26, -13, . . .
Answer:
\(\textsf{13.} \quad a_9 = 2734375\)
\(\textsf{14.} \quad a_9 = \dfrac{13}{32}\)
Step-by-step explanation:
To write a rule for the nth term of a geometric sequence, we can use the following formula:
\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)
\(\hrulefill\)
Question 13Given geometric sequence:
7, -35, 175, -875, ...The first term is 7, so a = 7.
To find the common ratio, divide any term in the sequence by its preceding term:
\(r=\dfrac{-35}{7}=-5\)
Therefore, the equation to find the nth term of the given geometric sequence is:
\(\boxed{a_n=7(-5)^{n-1}}\)
To find a₉, substitute n = 9 into the equation:
\(\begin{aligned}a_9&=7(-5)^{9-1}\\&=7(-5)^8\\&=7(390625)\\&=2734375\end{aligned}\)
Therefore, the 9th term of the given geometric sequence is 2,734,375.
\(\hrulefill\)
Question 14Given geometric sequence:
104, -52, 26, -13, ...The first term is 104, so a = 104.
To find the common ratio, divide any term in the sequence by its preceding term:
\(r=\dfrac{-52}{104}=-\dfrac{1}{2}\)
Therefore, the equation to find the nth term of the given geometric sequence is:
\(\boxed{a_n=104\left(-\dfrac{1}{2}\right)^{n-1}}\)
To find a₉, substitute n = 9 into the equation:
\(\begin{aligned}a_9&=104\left(-\dfrac{1}{2}\right)^{9-1}\\\\&=104\left(-\dfrac{1}{2}\right)^{8}\\\\&=104\left(\dfrac{1}{256}\right)\\\\&=\dfrac{13}{32}\end{aligned}\)
Therefore, the 9th term of the given geometric sequence is 13/32.
Find the average rate of change of the function f(x)=√x from x₁ = 16 to x₂ = 81.
Answer:
1/13
Step-by-step explanation:
\(f(x_1)=4 \\ \\ f(x_2)=9 \\ \\ \frac{f(x_2)-f(x_1)}{x_2 - x_1}=\frac{1}{13}\)
QUESTION 1 Determine the general solution of: 2 sin x. cos x = COS X
Starting with the given equation: 2 sin x cos x = cos x
By dividing both sides by cos x, we may simplify: 2 sin x = 1
Dividing both sides by 2:
sin x = 1/2
The values of x that fulfil sin x = 1/2 must now be found, and they are:
x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.
Therefore, the general solution is:
x = π/6 + 2πn or
x = 5π/6 + 2πn, where n is any integer.
Learn more about integer here:
https://brainly.com/question/490943
#SPJ1
100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!
A. The distributions of the periods is that using the five number summary is that
The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher medianB. The box and whisker plot of the periods is attached
A. Comparing the distributions of the periodsFrom the question, we have the following parameters that can be used in our computation:
7th Period
66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96
3rd Period
52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97
The distributions of the periods will be compared using the five-number summaries
Using a graphing tool, the five-number summaries are:
7th Period
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 963rd Period
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. Creating a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
Read more about box plot at
https://brainly.com/question/3473797
#SPJ1
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
Select all ratios that are in their simplest form,
A=21:7
B=25:19
C=23:7
D=16:4
E=24:26
Answer:
B and C
Just see if there is any number that can divide both top and bottom
If there isnt, its in simplest form
What is the sum of the exterior angles for each of the parallelogram and the hexagon?
A) 90°
B) The answer depends on the number of sides of the polygon
C) 180°
D) 360°
Very confused, if you could please explain it to me, that would be great!!
The sum of the exterior angles for a parallelogram is 360°.
What is exterior angle?Exterior angles are angles that are formed outside two lines when they intersect. They are located outside the two lines, on the outside of the shape. They can be found by adding the two interior angles together, whose measurements are always equal to 180 degrees. Exterior angles are also supplementary angles, meaning that the sum of their measurements is always equal to 360 degrees.
This is because the four angles on the outside of the parallelogram are all right angles, and the sum of four right angles is 360°.
Similarly, the sum of the exterior angles for a hexagon is also 360°.
This is because the six angles on the outside of the hexagon are all 120° angles, and the sum of six 120° angles is 360°.
To know more about exterior angle click-
https://brainly.com/question/29344920
#SPJ1
if f(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and "f '(6) = 6", find f '(1).
If function F(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6, the value of an F'(1) is 114.
We know that the chain rule of differentiation (derivative)
The derivative of composite function f(g(x)) is: f'(g(x))⋅g'(x)
Consider function F(x) = f(xf(xf(x)))
We need to differentiate above function with respect to x.
F'(x) = f'(xf(xf(x))) × d/dx[x f(xf(x))]
We use product rule of derivative to find d/dx[x f(xf(x))]
d/dx[x f(xf(x))] = f(xf(x)) d/dx(x) + x d/dx(f(xf(x)))
After simplifying these expressions we get.
F'(x) = f'(xf(xf(x))) [f(xf(x)) + xf'(xf(x)) + x(f(x) + xf'(x))]
For x = 1 above expression would be,
F'(1) = f'(1 f(1 f(1))) [f(1 f(1)) + 1 f'(1 f(1)) + 1 (f(1) + 1 f'(1))]
F'(1) = f'(f(4)) [f(4) + f'(4) + (4 + 4)]
F'(1) = f'(6) [6 + 5 + 8]
F'(1) = 6 × 19
F'(1) = 114
Therefore, the value of F'(1) = 114.
Learn more about differentiate here:
brainly.com/question/24898810
#SPJ4
The complete question is:
If F(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6, find F '(1).
..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?
Answer:
$595
Step-by-step explanation:
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND I ADD EXTRA POINTS
Answer:
A
Step-by-step explanation: plz mark brainliest
If you see The abc triangle you can see that triangle DEF is about twice the size of the other triangle so if you would double the size of the small triangle by the same number which was 20 you would do 20 + 20 = 40 and you would multiply 4 x 5 which equals 20 and add 20 + 20 which equals 40 which is the double amount of triangle ABC
Answer:
an extra comment so the other guy gets brainlist:)
Step-by-step explanation:
8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
For more such questions on line segment
https://brainly.com/question/30756145
#SPJ8
What is the area of this figure ???????????????
78
Step-by-step explanation: just add them all
plz give brainly
Write a piecewise function. PLEAE HELP i really need this any help would be very appreciated!!
Answer:
see below
Step-by-step explanation:
Each age bracket defines a domain of the function. The function value is constant for that domain. This function gives admission price (P) as a function of age (a).
\(P(a)=\left\{\begin{array}{ccl}0&\text{for}&a\le5\\3&\text{for}&5<a\le18\\5&\text{for}&18<a<65\\4&\text{for}&a\ge65\end{array}\right.\)
Marcus has a collection of professional basketball player cards. The number of veteran cards is 17 more than 3 times the number of
rookie cards. Which of the following represents the number of veteran cards, v, in terms of the number of rookie cards, n?
A
3 + 17r = v
B. 17 + 3v=r
17 + V = 3r
D.
17 + 3r = V
Answer:
I think its 17+3r=v so D?? I'm not entirely sure but I believe that's it lol
HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
help me please Graph y = - l x-4 l
Answer:
y= -41
Slope= -1
Step-by-step explanation:
On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)
In recent years a town experienced an arrest rate of 25% for robberies The new sheriff compiles records showing that among 30 recent robberies the arrest rate is 30%; he claims that this arrest greater than the 25% rate in the past. Using a 0.05 significance level to test the claim, find the P-value
Given:
significance level = 0.05
rate = 30% = 0.30
n = 30
First, we identify the test statistic:
\(z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\)Substitute the values:
\(z=\frac{0.30-0.25}{\sqrt{\frac{0.25(1-0.25)}{30}}}\)Simplify:
\(z=\frac{0.05}{\sqrt{\frac{0.25(0.75)}{30}}}=0.63\)Now p-value is given by:
\(p_{value}=P(z>0.63)=1-P(z<0.63)\)From z table:
\(=1-0.7357=0.2643\)Answer: 0.2643
how do i solve this..
Answer:
1. 26
2. x = 1.5
Step-by-step explanation:
1. C(0.7) means to plug in 0.7 into the equation
here, C(x) = 30x + 5. replace x with 0.7 to get
C(0.7) = 30*0.7 + 5= 26
2. C(x) = 30x + 5 = 50
30x+5 = 50
subtract 5 from both sides to isolate x and its coefficient
30x = 45
divide both sides by 30 to find x
x = 1.5
NEED HELP W GEOMETRY
In △
ABC, ∡A
is 2 more than twice ∡B
, and ∡C
is 7 less than twice ∡B
. What is the measure of each angle in △
ABC and what is its classifications?
Answers:
Angle A = 76Angle B = 37Angle C = 67Triangle ABC is an acute triangle. It's also a scalene triangle.
====================================================
Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
----------------
In summary, we have these three interior angles
A = 76B = 37C = 67As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
Dado cot B = 0.57736, determina la medida del ángulo B.
The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.
What is a angle measure?An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.
To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.
The tangent of an angle is the ratio of the opposite side to the adjacent side,
So cot B = adjacent side / opposite side.
By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation
B = arctan(cot B).
Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,
B = arctan(cot B) = 56.31° (rounded to two decimal places)
To know more about angle visit:
brainly.com/question/28451077
#SPJ1
The complete question is: "Given cot B = 0.57736, determine the measure of angle B".
factor completely using distributive law -14-(-8)
Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.
Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.
So the expression becomes:
-14 + 8
To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:
(-14) + (8) = -14 * 1 + (-14) * 8
This can be simplified as:
-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)
Finally, we can add the two negative numbers to get the result:
-14 + (-112) = -126
Therefore, the expression -14 - (-8) factors completely as -126.
Let f(x)=V3x and g(x)=×6. What'sthe smallest number that is in the domain off° g?
Answer:
Explanation:
Given:
\(\begin{gathered} f(x)\text{ = }\sqrt{3x} \\ g(x)\text{ = x - 6} \end{gathered}\)To find:
the domain of f o g
fog = (f o g)(x) = f(g(x))
First, we will substitute the expression in g(x) with x in f(x)
\(\)QUESTION 9 1 POINT
Ron will be finishing his payments on his 8-year, $35,000 student loan and wants to know the amount of interest that he
paid over the course of the loan. The student loan has a 3.8% fixed interest rate that is compounded monthly. Calculate the
total amount of interest Ron paid, rounding to the nearest cent.
Provide your answer below:
FEEDBACK
The total amount of interest Ron paid over the course of the loan is approximately $12,220.63.
To calculate the total amount of interest paid on Ron's student loan, we need to use the formula for compound interest. The formula for compound interest is:
A = P(1 + r/n)^(nt) - P
Where:
A is the total amount including principal and interest.
P is the principal amount (loan amount).
r is the annual interest rate (as a decimal).
n is the number of times the interest is compounded per year.
t is the number of years.
In this case, Ron's loan amount is $35,000, the annual interest rate is 3.8% (or 0.038 as a decimal), the loan term is 8 years, and the interest is compounded monthly (n = 12).
Plugging in these values into the formula:
A = $35,000(1 + 0.038/12)^(12*8) - $35,000
Calculating the exponent:
A = $35,000(1 + 0.00316667)^(96) - $35,000
Using a calculator to evaluate the expression within parentheses:
A = $35,000(1.00316667)^(96) - $35,000
Calculating the exponent:
A = $35,000(1.34898777) - $35,000
Subtracting the principal amount:
A = $47,220.63 - $35,000
A = $12,220.63
Therefore, the total amount of interest Ron paid over the course of the loan is approximately $12,220.63.
For more questions on interest
https://brainly.com/question/29745599
#SPJ8
please help me with i’ll give you brainlist
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.
What is whisker plot?A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.
Here,
To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:
Minimum value: the smallest value in the data set.
First quartile (Q1): the median of the lower half of the data set.
Median: the middle value in the data set.
Third quartile (Q3): the median of the upper half of the data set.
Maximum value: the largest value in the data set.
First, we need to put the data in order:
10, 12, 14, 15, 16, 18, 22, 24, 25, 28
The minimum value is 10 and the maximum value is 28.
The median is the middle value, which is 18.
To find the first quartile, we need to find the median of the lower half of the data set, which is:
10, 12, 14, 15, 16
The median of this lower half is 14.
To find the third quartile, we need to find the median of the upper half of the data set, which is:
22, 24, 25, 28
The median of this upper half is 24.
So, the five-number summary for this data set is:
Minimum value = 10
First quartile (Q1) = 14
Median = 18
Third quartile (Q3) = 24
Maximum value = 28
Now we can use this information to create the box and whisker plot:
| |
----+----+----+----+----
10 14 18 24 28
The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.
To know more about whisker plot,
https://brainly.com/question/2742784
#SPJ1
What is the basic structure of an argument?
O A. An argument consists of premises that are used to support a conclusion.
O B. An argument consists of at least one premise and one fallacy that are used to support a conclusion.
O c. An argument consists of a fallacy that is used to support a conclusion.
OD. An argument consists of at least one premise that does not lead to a conclusion.
Textbook
Statcrunch
Ask my instructor
MacBook Air
80
F1
F2
F3
DII
F4
DD
F5
F6
F7
F8
F9
Answer:
B
Step-by-step explanation: