Answer:
and "Bumps"
Purplemath
Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.
I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".
For instance, the following graph has three bumps, as indicated by the arrows:
y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0
21. Which property is used to simplify the expression 5(3x + 18) to 152 + 90?
Can you answer this?
I need help!
Screenshot down below.
Please give me real answers and not spam (those who spam will get reported)
Please SHOW your work
The formula for the question below is A=Pe^rt
=======================================================
Work Shown:
P = 1000 is the amount deposited
We want this value to double to A = 2000 which is the amount in the account at time t (in years).
r = 0.03 represents the interest rate in decimal form.
The value of t is unknown but we can solve for it like so
[tex]A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\[/tex]
[tex]0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\[/tex]
It will take about 23 years for the amount to double.
As a check,
[tex]A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\[/tex]
which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.
------------
Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.
Please help fast, thanks.
How many adults visited the museum in February
Answer:
83 adults visited the museum on february...
Step-by-step explanation:
hope this helps
A drawer contains 12 identical white socks, 18 identical black socks
and 14 identical brown socks. What is the least number of socks you
must choose, without looking, to be certain that you have chosen two socks of the same colour?
Answer:
2 brown
Step-by-step explanation:
The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:
Total number of socks = 12 white socks + 18 black socks + 2 brown socks
Total number of socks = 32 socks
A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.
The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.
What is least number?The least number is "the smallest or lowest number or degree".
According to the question,
A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.
In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.
Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.
Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.
Learn more about Least number here
https://brainly.com/question/16886289
#SPJ2
I NEED AN ANSWER QUICK! What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer. (And PLEASE show work)
Answer:
210 cm²
Step-by-step explanation:
Area of the surface having dimensions 6 cm × 11 cm
[tex]A_1[/tex] = 11 × 6 = 66 cm²
Area of the surface having dimensions 3 cm × 6 cm
[tex]A_2[/tex] = 3 × 6 = 18 cm²
Area of the surface having dimensions 7 cm × 6 cm
[tex]A_3[/tex] = 7 × 6 = 42 cm²
Area of the surface having dimensions 5 cm × 6 cm
[tex]A_4[/tex] = 5 × 6 = 30 cm²
Area of the trapezoidal surface on the top = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
[tex]A_5[/tex] = [tex]\frac{1}{2}(11+7)3[/tex]
= 27 cm²
Area of the trapezoidal base [tex]A_6[/tex] = Area of the surface on the top = 27 cm²
Total surface area = [tex]A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27[/tex]
= 210 cm²
Therefore, total surface area of the trapezoidal prism = 210 cm²
The height to the top of a flagpole is 18 feet. The flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet. How tall is the tree?
Answer:
22.5 feet
Step-by-step explanation:
set up a proportion, then cross-multiply
18/20 = x/25 or 18/x = 20/25
The height of the tree is 22.5 ft
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.
Here we need to find the height of the tree,
We will use the concept of the similar triangles to find the same,
Let the height of the tree be x
So. according to the definition of similar triangles,
18 / 20 = x / 25
x = 45 / 2
x = 22.5
Hence, the height of the tree is 22.5 ft
Learn more about similar triangles, click;
https://brainly.com/question/14926756
#SPJ3
12. Isabel created a scale model of her dad's truck. On the scale model, the length of
the truck is 51 inches. The length of the actual truck is 17 feet long.
Which scale did Isabel use to create the scale model of her dad's truck?
Answer:
11
Step-by-step explanation:
32.50-7.50=25
225/25=11
Please help me soon
Please Help! Will mark brainliest!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.
A golfer completed 18 holes with a total of 79 strokes. On each hole, he met par, which was either four or five each time. How many holes were played in four-strokes?
Answer:
11
Step-by-step explanation:
Let a= times he hit 4 par
Let b = times he hit 5 par
a+b=18 => 4a+4b = 72
4a+5b=79
b=79-72=7
So a = 11
answer:
18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes
i hope this helps ♡♡♡
can u pls help me with this question
Certain mineral elements required by plants are classed as macronutrients. Macronutrients are measured in terms of their percentage of the dry weight of the plant. Proportions of each element vary in different species and in the same species grown under different conditions. One macronutrient is sulfur. In a study of winter cress, a member of the mustard family, these data, based on three independent random samples, are obtained:
Answer:
The value of μ will be "0.82".
Step-by-step explanation:
The given question is incomplete. Please find attachment of the complete question below.
The given three random samples are 0.8, 0.95 and 0.7.
Now,
⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]
On substituting the estimated values, we get
⇒ [tex]=\frac{0.8+0.95+0.7}{3}[/tex]
⇒ [tex]=\frac{2.45}{3}[/tex]
⇒ [tex]=0.82[/tex]
It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.
ANSWER ASAP PLEASE
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 201 inches?
Step-by-step explanation:
5.1054 meters
I think you should round the number tho
Which graph represents the function f(x)=2.4?
Answer:
show the graph then we can fingerite out
Step-by-step explanation:
we will have to see the graph then we can see what we are working with
A university has 55% student girls and 45% boys. A student is chosen at random to take a test. The test for boys has 25 questions and the one for girls has 30 questions. Let X be the random variable, which represents the number of questions to which the selected student answered correctly. Describe the distribution table for X, and calculate the mean and dispersion.
30 students in a class took an algebra test.
If 21 students passed the test, what percent passed?
Answer:
70%
Step-by-step explanation:
21/30 p/100
30/30=2,100/30=70
Find the probability pulling a Cub suited card from a deck of playing cards.
The question is below
9514 1404 393
Answer:
162°
Step-by-step explanation:
The measure of inscribed angle ADC is half the measure of the intercepted arc AC. That arc has a measure that is the same as the central angle it subtends, angle ABC.
So, central angle ABC is twice the measure of inscribed angle ADC:
m∠ABC = 2·81° = 162°
Which statements describe the key features of the graph of ? Check all that apply.
The graph has a y-intercept at –2.
The graph has an x-intercept at –6.
The graph has a vertical asymptote at x = 3.
The graph has a vertical asymptote at x = –3.
The graph has a horizontal asymptote at y = 1.
Answer:
The answer is A,B,D
Step-by-step explanation:
I got it right on EDGE
The required key features of the given [tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex] area as follows,
(A) The graph has a y-intercept at –2.
(B) The graph has an x-intercept at –6.
(D) The graph has a vertical asymptote at x = –3.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given function
[tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex]
Draw the graph of the above function,
From the graph, we can conclude the points that,
The Y-intercept of the function is y = -2, the X=intercept of the function is x = -6, and the vertical asymptote at x = –3.
Learn more about function here:
brainly.com/question/21145944
#SPJ5
Need help pronto! Will give brainliest!
Write an equivalent expression. 2 + 4(c + 7)
A) 4c + 9
B) 30 + 4c
C) 6c + 9
D) 15 + 4c
Which of the following is a solution of z^5 = 1 + √3i?
Help much needed! Thank you
[tex] \sqrt[5]{2} [/tex]
=cos12°+isin12° is your answer
Solve the system of equations below by graphing both equations with a pencil
and paper. What is the solution?
y=-2x + 4
y = x-2
A. (-2,-4)
B. (2,0)
C. (-1,-3)
D. (1,-1)
Answer:
B (2,0)
Step-by-step explanation:
The solution of the system is (2, 0).
What is the system of equations?Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is the simultaneous equation.
Given information:
The system of equations,
y = -2x + 4
y = x- 2.
To find the solution to the system of equations, find the intersection points of the equations.
As per the graph given in the attachment below.
So, the intersection point is (2, 0).
Therefore, the point is (2, 0).
To learn more about the system of equations;
brainly.com/question/13729904
#SPJ7
Solve:
-3(1 + 4x) = 33
x =
Solve:
-4(-6y – 3) = 12
y =
Solve:
-(x – 8) = -2
x =
Solve:
−3(4r − 8) = −36
r =
Solve:
6(−x − 3) = 24
x =
Solve:
3(x − 2) = 18
x =
Solve:
2(4x + 4) = 24
x =
Please help
Answer:
−
3
(
1
+
4
)
=
3
3
Step-by-step explanation:
Answer:
1: -3
2: 24
3: 10
4: 5
5: -7
6: 8
7: 2
Step-by-step explanation:
hope this helps:)
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answer:
2t+b=8.00
e+t+b=8.50
2e+2t=10.00
Step-by-step explanation:
If a number is doubled the result is sixty
Answer:
30
Step-by-step explanation:
30x2=60
$16 for 4 books. How much would 12 books cost?
Answer:
$48
Step-by-step explanation:
you would first need to find what the cost of 1 book is so
16 divided by 4 is 4
so 1 book is $4
then you would need multiply the cost of one book by 12
so 4 times 12 is 48
so the cost would be $48
Answer:
192
Step-by-step explanation:
times
Slope for (2,1) (-2,3)
Answer:
the slope is 1/2 :)
Step-by-step explanation:
Answer:
1/3 or 1/-2
Step-by-step explanation:
Which of the following lists is in the correct order from smallest to largest?
-19, -14, 5, 11
-7,-3, 6, 2.
11, -12, 15, -19
-13, -19, -21, -24
Answer:
D the 4th one that starts with-13.
what are the first 3 composite numbers that are multiples of 4 and greater than 10.¯\_(•_•)_/¯
Answer:
12,16,20
Step-by-step explanation:
First list the multiples of 4
4,8,12,16,20,24,28
We want the ones that are greater than 10
12,16,20