Use the graph of y=f(x) in the figure to estimate:
f(0)≈
f(1)≈
f(b)≈
f(c)≈
f(d)≈
Answers
9514 1404 393
Answer:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24Step-by-step explanation:
This takes graph-reading one step further. You get to estimate the y-value without benefit of minor grid lines. You must mentally divide the 10-unit distance between grid lines into equal spaces. Then estimate how many of those spaces lie between the point and the nearest grid line.
You can do this more precisely by drawing a diagonal line across the grid from one major grid intersection to one that is (5, 1) or (5, -1) major grid points away. Where that line crosses the intermediate grid lines, the vertical measure will be some multiple of 1/5 of the vertical difference between grid points. For example, a line from (0,20) to (5,30) will cross at (1,22), (2,24), (3,26), and (4,28). You can use these reference points to identify the y-values at f(0) and f(d).
Here's our eyeball estimate:
f(0) ≈ 22f(1) = 10f(b) ≈ -8f(c) = 0f(d) 24
Related Questions
Find the volume of each figure. Round your answer to the nearest tenth, if necessary
Answers
Answer:
V = 168 km³
Step-by-step explanation:
We are given a triangle prism.
Volume of a triangle prism = ½*a*c*h
Where,
a = 8 km
c = 6 km
h = 7 km
Substitute
V = ½*8*6*7
V = 4*6*7
V = 168 km³
The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answers
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
To learn more about the triangle visit;
brainly.com/question/1058720
#SPJ4
If C = 1+ 5n - 6n² and B = n + 4n^2,find an expression that equals 2C – 3B
in standard form.
Answers
Step-by-step explanation:
2C – 3B = 2(1+5n-6n²)-3(n+4n²)
= 2+10n-12n²-3n-12n²
= 2 +7n -24n²
The expression (2C-3B) equals to (-24x²+7x+2)
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given are two expression, C = 1+5n-6n² and B = n+4n²
2C = 2+10n-12n²
3B = 3n+12n²
2C-3B = 2+10n-12n² - 3n-12n²
= -24n²+7n+2
Hence, The expression (2C-3B) equals to (-24x²+7x+2)
For more references on expression, click;
https://brainly.com/question/14083225
#SPJ2
The gift shop at a science museum sells lollipops that are made to look like the planets. Each lollipop is shaped like a sphere and has a radius of 12 mm. Answer in terms of pi
Answers
Answer:
I don't know what to look for
but area of sphere = 4πr²
4×π×12×12
576πmm³
volume of sphere= 4πr³
3
4/3π12×12
576/3π
= 192πmm³
Which trigonometric function is an odd function and why?
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and therefore cos(x) = cos(-x).
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
The cosine function is odd because it is represented by the x-coordinate of the points on the unit circle, and
therefore cos(-x) = cos(x)
The sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(x) = sin(-x).
Answers
Answer:
second choice is the answer or it can be
The correct answer is option B.
What is odd function?"A function [tex]f(x)[/tex] is an odd function when [tex]f(-x)=-f(x)[/tex] ."
For given question,
Consider points A and B on the coordinate plane as shown in following image.
Let, line segment OA makes an angle of [tex]\theta[/tex] with x-axis and ∠COB = [tex]-\theta[/tex]
So, the coordinates of points on unit circle with radius 'r' would be, A[tex](cos \theta, sin\theta)[/tex] and B[tex](cos(-\theta),sin(-\theta) )[/tex]
Let, AC = y, BC = -y and OC = m
Now, consider sine function
[tex]sin\theta=\frac{AC}{OA}\\[/tex]
⇒[tex]sin\theta=\frac{y}{r}[/tex] ........................(1)
And, [tex]sin(-\theta)=\frac{BC}{OB}[/tex]
⇒ [tex]sin(-\theta)=\frac{-y}{r}[/tex]
⇒ [tex]sin(-\theta)=-(\frac{y}{r})[/tex] .......................(2)
⇒ [tex]sin(-\theta)=-sin\theta[/tex] ......................(From (1) and (2))
Now, consider cosine function
[tex]cos\theta=\frac{OC}{OA}[/tex]
⇒ [tex]cos\theta=\frac{m}{r}[/tex] ...........................(3)
And, [tex]cos(-\theta)=\frac{OC}{OB}[/tex]
⇒ [tex]cos(-\theta)=\frac{m}{r}[/tex] ...........................(4)
⇒ [tex]cos(-\theta)=cos\theta[/tex] ...........................(From (3), (4))
Hence, sine function is odd because it is represented by the y-coordinate of the points on the unit circle, and therefore sin(-x) = - sin(x).
Therefore, the correct answer is option B.
Learn more about odd function here,
https://brainly.com/question/14264818
#SPJ2
Craig earns the same amount of money each month. His telephone bill is 1/20 of his monthly earnings, and he pays a total of $720 each year for his ... How much does Craig earn each month, in dollars?.
Answers
A pyramid is 24 feet tall a scaled model has a height of 2 ft and is 1 foot wide at the base. Identify the scale factor that was used to create the model.
Multiple Choice Answers:
1/12
1/24
12
24
Answers
Answer:
1/12
Step-by-step explanation:
Given the following :
Actual height of pyramid = 24 ft
Dimension of scaled model :
Height = 2ft ; width = 1ft
a scale factor is a number used to reproduce a reduced dimension of a model by multiplying the actual dimeznsion or size of the model or object.
Since the height is of the scaled model is less than the actual height of the pyramid ; then it could be said that the scale factor is a fraction, because reduction has occurred.
(Height of scaled model / height of actual pyramid)
(2ft / 24ft) = 1/12
PLEASE HE L P IT WOULD mean the world to me<3..............................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Is the function representing the weekly paycheck amount of Salesman A a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman B a proportional relationship? Use complete sentences to explain your reasoning.
Is the function representing the weekly paycheck amount of Salesman C a proportional relationship? Use complete sentences to explain your reasoning.
Answers
Answer:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal
Step-by-step explanation:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?
Answers
Answer:
Y = 0.09X1 - 167.40
Step-by-step explanation:
Year (X) : 2000, 2004, 2006, 2007, 20008
Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77
Using technology, the regression model obtained is :
Y = 0.09X1 - 167.40
With a slope of 0.09 and intercept of - 167.40
Can you help me with this question
Answers
Answer:
308 (Third Option)
Step-by-step explanation:
Have a Great Day! :D
Work out the value of x
Answers
Step-by-step explanation:
X+3X+90=360
4X+90=360
4X=360-90
4X=270
270÷4=67.5
X=67.5 degrees
Pls help 10 ptsssssssssssss
NO LINKS
Answers
y= x-2
Enter the explicit rule for the geometric sequence.
1/4, 1/2, 1, 2, 4, …
Answers
Answer:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.
The explicit rule of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
1/4, 1/2, 1, 2, 4
This means that [tex]a_1 = \frac{1}{4}[/tex], and:
[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]
So the explicit rule is:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
Use the graph that shows the solution to f(x)=g(x).
f(x)=73x−3
g(x)=2x−4
What is the solution to f(x)=g(x)?
Select each correct answer.
−12
0
2
3
Answers
9514 1404 393
Answer:
x = 0, x = 3
Step-by-step explanation:
It appears your equations are intended to be ...
f(x) = (7/3)x -3
g(x) = 2^x -4
These are the equations that are graphed in your second attachment. The graphs cross at x=0 and x=3.
The solutions to f(x) = g(x) are x ∈ {0, 3}.
Q3)
Find the Correlation of the following two variables
X: 2, 3, 5, 6
Y: 1, 2, 4, 5
Answers
X= 66
Y=45
Which expression represents the
following calculation?
Subtract 23 from the product of 8 and 7.
A 23 - (8 X 7)
B (8 x 7)-23
C (23 - 8) X 7
D 8 X (7 - 23)
Answers
Answer:
B (8x7)-23 is the answer
Subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have:
Subtract 23 from the product of 8 and 7
The product of the 8 and 7 can be written as (8 X 7)
Subtract 23 from (8×7)
(8 X 7) - 23
Thus, subtracting 23 from the product of 8 and 7 can be written as (8 X 7) - 23 option (B) is correct.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
what is 18cm in a scale 1:50?
Answers
Answer:
900 cm
Step-by-step explanation:
Proportions
1cm ⇒ 50cm
18cm ⇒ Wcm
W = 18*50/1
W = 900cm
Bethany is 57 inches tall Bethany brother Scott is 2 inches taller than she is what is scoot height in feet
Answers
Answer:
5'9 ft
Step-by-step explanation:
He was built different
Find the value of x and y
x = 45° , y = 45°
x = 117° , y = 117°
x = 27° , y = 63°
x = 63° , y = 27°
Answers
Step-by-step explanation:
X=63 and Y=27 is the correct answer.
I need help will give out Brainlyest
Answers
Answer:
[tex] \frac{6}{6 - 2} = \frac{6}{4} = \frac{3}{2} [/tex]
Answer:
[tex] \rm \rightharpoonup \: f(x) = \frac{x}{x - 2} \\ \rm \rightharpoonup \: f(6) = \frac{6}{6 - 2} \\ \rm \rightharpoonup \: \frac{6}{4} \\ \rm \rightharpoonup \: \frac{3}{2} [/tex]
Hence option A is correctWhat is the arc measure of major arc ADE in degrees?
Answers
Hope this helps!
Jake has proved that a function, f(x), is a geometric sequence. How did he prove that?
Answers
Answer:
He showed that f(n) ÷ f(n - 1) was a constant ratio.
Given that Jake has proved that a function f(x) is a geometric sequence.
GEOMETRIC SEQUENCE: A geometric sequence is a sequence of numbers where each term is found by multiplying the preceding term by a constant called the common ratio, r.
So, in Jame's proof, he showed that each term is multiplied by a constant to get the next term.
That is, if 'c' is the constant that was used in the proof, then we must have
This implies that
Therefore, he showed that f(n) ÷ f(n - 1) was a constant ratio.
Choose the most reasonable estimate of the volume of a box with
dimensions as follows: width = 4.9 cm; length = 5.1 cm; height = 4.8 cm.
A. 75 cm3
B. 12 cm3
C. 50 cm3
D. 125 cm3
Answers
Answer:
D. 125cm
Step-by-step explanation:
Round each number for an estimate so you get 5 x 5 x 5 = 125
Which statement is not always true?
Answers
Write down all the prime numbers between 41
Answers
Answer: Step-by-step explanation:
List of prime numbers before 41 (including 41 itself): 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.
What is the correct answer???
Answers
You’re purchasing a new television with a 32” screen. The 32” measurement represents the diagonal measurement of the screen. You remember the height at the store was 16”. What is the width of the TV
Answers
Answer:
27.7"
Step-by-step explanation:
use the pythagorean theorem
a² + b² = c²
a² + 16² = 32²
a² + 256 = 1,024
subtract 256 from both sides
a² = 768
Take the square root of both sides
a = 27.7128129211
a = 27.7"
I REALLY NEED HELP , “ a company is designing a new cylindrical water bottle. the volume of the bottle will be 207 cm *to the 3rd power* the height of the water bottle is 8.4 cm. what is the radius of the water bottle?”
Answers
Answer:
Radius, r = 2.80 cm
Step-by-step explanation:
Given the following data;
Volume of cylinder = 207 cm³
Height = 8.4 cm
Pie, π = 3.14
To find the radius of the water bottle;
Mathematically, the volume of a cylinder is given by the formula;
V = πr²h
Where;
V is the volume of a cylinder.
r represents the radius of the cylinder.
h represents the height of the cylinder.
Substituting into the formula, we have;
207 = 3.14 * r² * 8.4
207 = 26.376r²
r² = 207/26.376
r² = 7.85
r = √7.85
Radius, r = 2.80 cm
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answers
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
ILL GIVE BRAINLEST:))
Answers
Answer:
2 and 3
Step-by-step explanation:
2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio
3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
The ratio of the perimeters is the same as the scale factor.
scale 1:4