By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)
It increases by 2 over the interval 1 to 2.
by 4 over the interval 2 to 3.
And by 8 over the interval 3 to 4.
Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)
Find the missing length indicated x=
Using the concept of proportions and ratios on the similar triangles, the value of x is 48 units
What are similar triangles?Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal and corresponding sides that are proportional. In other words, the ratios of the corresponding sides of similar triangles are equal.
The concept of similar triangles is based on the fundamental property that corresponding angles in similar shapes are equal, and the corresponding sides are proportional.
To determine the value of x, we can apply the concept of proportions and ratio on the similar triangle;
x / 36 = 64 / x
Cross multiplying both sides
x * x = 36 * 64
x² = 2304
x = √2304
x = 48 units
Learn more on similar triangle here;
https://brainly.com/question/14285697
#SPJ1
How would you solve this without a calculator?
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
\(1351+780\sqrt{3}\)
Decimal Form:
2701.99962990
Thus, 2,701 is your answer
17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
Millions of Americans rely on caffeine to get them up in the morning. Here's nutritional data on some popular
drinks at Ben's Beans coffee shop:
Drink
Type
Calories
Sugars (g)
Caffeine (mg)
Brewed coffee
Hot
4
0
260
Caffé latte
Hot
100
14
75
Caffè mocha
Hot
170
27
95
Cappuccino
Hot
60
8
75
Iced brewed coffee
Cold
60
15
120
Chai latte
Hot
120
25
60
The individuals in this data set are:
Choose 1 answer:
Answer:
Brewed Coffee
4
Step-by-step explanation:
Answer:
Ben's Beans drinks is the correct answer
List all of the subgroups of S4. Find each of the following sets. Are any of these sets subgroups of S4?(a) {σ ∈ S4 : σ(1) = 3}(b) {σ ∈ S4 : σ(2) = 2}
This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).
What are the subgroups of S4The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:
The trivial subgroup {e}.Three subgroups isomorphic to the cyclic group of order 2: {e, (12)}, {e, (13)}, {e, (14)}.Four subgroups isomorphic to the cyclic group of order 3: {e, (123), (132)}, {e, (124), (142)}, {e, (134), (143)}, {e, (234), (243)}.Two subgroups isomorphic to the dihedral group of order 4: {e, (1234), (13)(24), (1432)}, {e, (1234), (14)(23), (1324)}.The alternating group A4 of even permutations: {e, (123), (132), (124), (142), (134), (143), (234), (243), (12)(34), (13)(24), (14)(23), (12)(34), (13)(24), (14)(23)}.Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:
(a) {σ ∈ S4 : σ(1) = 3}
This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.
(b) {σ ∈ S4 : σ(2) = 2}
This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.
Learn more on sets here;
https://brainly.com/question/13458417
#SPJ1
Find the greatest common factor of 75,8, and 21.
Answer:
1
Step-by-step explanation:
the greatest common factor is 1
62a3b9c6÷−31a3b3c4 what is the answer
Answer:
Step-by-step explanation:
-2b(exponent 6)c(exponent 2)
javier ha pintado 1/6 m de la pared en un dia al siguiente di pinto 3/8 m de la pared y el resto dejo para el tercer dia ¿cuantos metros pintara el tercer dia? ayuda plis
Answer:
can u speak English I would love to help but I don't understand
Some movies are profitable and others are not . Understandably , the movie industry would like to know what makes a movie successful . Data from 728 first-run movies released in 2011 suggest that longer movies actually make less profit. Identify the sample .
Answer:
The sample is the 728 first run movies released in 2011
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
learn more on right triangle here: https://brainly.com/question/30966657
#SPJ1
Evaluate ab−c+d if a=78 , b=−716 , c=0.8 , and d=14 . Write your answer as a mixed number in simplest form.
In the case where a=78, b=716, c=0.8, and d=14, the simplest form of a mixed number is -117/640.
Explain about the simplest form?The smallest equivalent fraction of the number is the form that is the simplest. How to find the most basic form: In the numerator and denominator, look for shared factors. Examine the fraction to see if one of the numbers is a prime number.
The term "reduced form" refers to the fraction's simplest form. As an illustration, the simplest form of a fraction with a common component of 1 is 34 However, while 2/4 can be further condensed and expressed as 12, it is not the most basic form.
When the top and bottom of a fraction cannot be any smaller while remaining whole numbers, it is said to be in its simplest form.
b a + c d
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
It can therefore be calculated as follows.
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
To learn more about simplest form refer to:
https://brainly.com/question/21527775
#SPJ1
Two girls divided $1.60 in the ratio 5 : 3. How much more does one girl get than the other?
let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly
\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)
Determine that the value x=9 of the following expiration given x2+3x-5
Step-by-step explanation:
To determine the value of x that satisfies the expression x^2 + 3x - 5 when x = 9, we simply substitute 9 for x and evaluate the expression:
9^2 + 3(9) - 5 = 81 + 27 - 5 = 103
Therefore, when x = 9, the expression x^2 + 3x - 5 evaluates to 103.
rate my answer, please.
Question 5. Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications. At the time of his investment, Verizon was selling for $47 a share.
o If Bob paid a $30 commission, how many shares could he buy if he used only his own money and did not use margin?
o If Bob paid a $60 commission, how many shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock?
o Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. How much profit did he make on his Verizon stock investment?
The number of shares could he buy is 63.19 and 126.38. Then the profit gained by Bob is $764.68.
What is the profit gained by Bob?
Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications.
At the time of his investment, Verizon was selling for $47 a share.
If Bob paid a $30 commission, then the number of shares could he buy if he used only his own money and did not use margin.
\(\rightarrow \dfrac{3000- 30}{47}\\\\\rightarrow \dfrac{2970}{47}\\\\\rightarrow 63.19\)
If Bob paid a $60 commission, then the number of shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock will be
\(\rightarrow \dfrac{6000 - 60 }{47}\\\\\rightarrow \dfrac{5940}{47}\\\\\rightarrow 126.38\)
Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. Then the profit will be
\(\rightarrow (126.38 \times 54 - 60) - (6000)\\\\\rightarrow (6824.68 - 60) - 6000\\\\\rightarrow 6764.68 - 6000\\\\\rightarrow \$764.68\)
More about the profit link is given below.
https://brainly.com/question/15036999
#SPJ1
What fraction below is NOT equivalent to 1/5? *
5/25
2/10
3/8
4/20
3/4 _______ 9/12 *
=
In the problem, 156 divided by 12 = 13, what number is the "divisor?" *
156
12
13
The fractions 4/7 and 12/21 are equivalent fractions. *
True
False
What is the "difference" between 73.51 and 6.392? *
What is the "product" of 30 and 6? *
36
24
180
5
What is 4 2/5 written as an improper fraction? *
18/5
11/5
22/5
42/5
1/9 _______ 1/12 *
=
What fraction below is NOT a proper fraction. *
7/4
4/7
6/11
8/9
The fractions 2/16, 3/24, and 4/32 are ALL equivalent to what fraction? *
1/3
1/4
1/6
1/8
Giving Brainliest, It'll mean much if you'll try to help me with this! And correct me if i'm wrong but, Brainliest is VERY usefull! And yeah good luck! :D
x-1=7 and x=6 are these equations equivalent
Consider ABC with vertices A(-4,-3) ,B(0,0), C(2,-3) and DEF with vertices D(3,1), E(6,-3), F(3,-5).
Answer:
A
Explanation:
When a point (x,y) is rotated 90 degrees counterclockwise about the origin our point becomes (-y, x).
Point E is at (6, -3)
If we translate by (x-6,y+3), we have: (6-6,-3+3)=(0,0)
Rotating it 90 degrees counterclockwise about the origin gives the coordinate: (0, 0).
This is equivalent to the coordinate of corresponding vertex B.
The correct choice is A.
Select the values that make the inequality -4g < 64 true. Then write an equivalent inequality
Answer:
-13; -11; -16; -15; -6
The diagram shows two semicircles with centre A of radius 3 cm and centre B of radius 4 cm. AB = 5 cm.
Find the area of the shaded region
Step-by-step explanation:
AD 3CM B 10 CM C TO SHADE IN THE REGION MORE THAN 2 CM FROM A ,OA Circle centre with radius 2cm OA Circle center D with radius 2 CM i
A bag of red grapes costs $4.00 per pound. Two bags of green grapes is 7.50. Which is the lower unit rate and the better deal for your budget
Answer:
red grapes
Step-by-step explanation:
Answer:
The two bags of green grapes are a lower unit rate.
Step-by-step explanation:
A bag of red grapes is $4 and two bags of green grapes is $7.50. If you buy two bags of red grapes the total amount of money you are spending is $8. If you buy two bags of green grapes the total is $7.50. If you divide $7.50 by two you get $3.50. This means that for one bag of green grapes it is $3.50. Therefore the two bags of green grapes are a lower unit rate.
Hope This Helps :)
Help pls will give brainliest
A rectangular shaped desk has a length of 36 inches and a width of 16 inches. A desk with a similar shape has a width of 24 inches. What is the length if this desk?
Answer:
12
Step-by-step explanation:
The fifth graders took a trip to the Atlanta Zoo. Eighty-three kids went on the field trip. Adult tickets
were free. We had to pay a $5.00 parking fee. Our total bill for entering the park was $586.00. How
much was the entrance fee for each child?
Answer: 7$
Step-by-step explanation:
586 - 5 = 581 (the -5 being the parking fee) 581 divided by 83 is 7
Solve 3,200 divided by 10 using a area model
find fourier transform f(x)=1\|x|
Answer:
Step-by-step explanation:
Which of the following illustrates the truth value of the given statements?
January is the first month of the year or December is the last month of the year.
OFF-F
OTT-T
OFT - T
OTF-T
Answer:oft-t
Step-by-step explanation:
Make Sense and Persevere
There are 5 players on a basketball team. In a game 4 players
scored 6 points each. The team scored a total of 34 points.
How many points did the other player score?
1. Tell how to make sense of the problem.
2. Tell the quantities you know. Then explain what you need
to find first to solve the problem.
3. Tell which operations you will use. Then solve the problem.
A function g(x) is defined by g(x) = −log4(x – 3) + 2.
Part A: Graph the logarithmic function g(x) and determine the domain, range, and x-intercepts. Show all necessary calculations. (5 points)
Part B: Determine the vertical and horizontal asymptotes of g(x). Show all necessary calculations. (5 points)
Part C: Describe the interval(s) in which the graph of g(x) is positive. Determine the end behavior of g(x). (5 points)
Part A : The domain of this function is [3, ∞) as (x - 3) ≥ 0.
Part B : The range of this function is (- 17, ∞).
Part C : The vertical and horizontal asymptotes of this function are 3 and 2 respectively.
The interval at which the graph is positive is (3, 28)
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x) is defined by g(x) = - log4(x - 3) + 2.
The domain of this function is [3, ∞) as (x - 3) ≥ 0.
The range of this function is (- 17, ∞).
The vertical and horizontal asymptotes of this function are 3 and 2 respectively.
The interval at which the graph is positive is (3, 28)
learn more about functions here :
https://brainly.com/question/12431044
#SPJ1
I’m not sure how to do the graph and it’s not letting me advance :(
Y=85.468x+ 985.029
R=0.988
To plot the above linear regression on a graph, follow the procedures outlined below.
What are your options?You may use the following steps to plot the supplied data on a graph:
1) Create an x- and y-axis coordinate plane.
2) Label the x-axis with the numbers 1 through 13 (to represent the 13 data points).
3) Label the y-axis with a suitable scale that encompasses the data's greatest and lowest values (e.g., 0 to 2200 with 200 increments).
4) For each point, try to find the associated x -value on the x-axis and the corresponding y-value on the y- axis, and then place a point at the intersection of the two values.
For example, if the first point is (1, 1000), you would identify the x-axis point labeled "1" and the y-axis point labeled "1000" and add a point at it intersection.
5) based on the pattern in the data, connect the points of the coordinares using a line or a curve. Because the data appears to increase gradually with some fluctuations in this case, a line connecting the points would be appropriate.
After plotting the data on the graph, you may study the pattern and draw inferences about the data's trend over time. Please see the attached sample graph.
Learn more about linear regression:
https://brainly.com/question/29665935
#SPJ1
Please Help.... 50 points.
Answer:
94
Step-by-step explanation:
Answer:
94 is the answer
Step-by-step explanation:
To get ready for the new season Jayden bought new basketball sneakers. Jayden paid $96.12 after paying the 8% tax. How much were the sneakers before including the tax?
Show your work here:
You would take the amount of increase and divide it by the amount of total cost over the time period of certain months. Then you would multiply that number by the percentage of increase gained, and subtract 96.12 to get your answer.