Tory plans to enter the path at mile marker 1 and hike for 4 miles. Tory is a beginner hiker, so he wants to choose the path that is less steep on average.
Which path should he choose? Why?
Answers
The vertical change from 1 to 5 is considerably less for g(x) than for f(x).
Tory should choose path ...
g(x)
Related Questions
PLEASE HELP ME OUT ASAP! I WOULD REALLY APPRECIATE IT AND GOD BLESS
Answers
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
z=-1.25
thus
P(x<27)=P(z<-1.25)
=0.1056
=10.56%
Answer: 10.56%
The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground
Answers
h (t) = - 12t2 + 36t
When the object hits the ground we have:
- 12t2 + 36t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 3
Therefore, the time it takes the object to hit the ground is:
t = 3 s
Answer:
the time when the object hits the ground is:
t = 3 s
Answer:
3 seconds is the time when the object hits the ground.
Step-by-step explanation:
Given the height of a free falling object at time t can be found using the function is given by:
[tex]h(t)=-12t^2+36t[/tex] ....[1]
where,
h(t) is the height in feet
t is the in seconds.
We have to find the time when the object hits the ground.
⇒h(t) = 0
Substitute this in [1] we have;
[tex]-12t^2+36t =0[/tex]
⇒[tex]12t^2-36t = 0[/tex]
⇒[tex]12t(t-3) = 0[/tex]
⇒t = 0 and t = 3
Since, time cannot be 0.
⇒t = 3 seconds
Therefore, the time when the object hits the ground is, 3 seconds
2. A,B,C,D ?
3. A,B,C,D ?
Answers
The appropriate choice is
a) 18x⁴ -6x³
3. (2 cm)(4 cm)(11 cm) = 88 cm³
The appropriate choice is
b) 88
If the radius and height of a cylinder are multiplied by 3, the lateral area of the cylinder is multiplied by
Answers
The lateral area would be multiplied by 9
Explanation:
The lateral area of the cylinder can be calculated as follows:
lateral area = 2πrh
where:
r is the radius
h is the height
We are given that:
radius is multiplied by 3. This means that new radius is 3r
height is multiplied by 3. This means that new height is 3h
Substitute in the formula of the lateral area as follows:
lateral area = 2π(3r)(3h)
lateral area = 2*9*πrh
lateral area = 18πrh
Comparing the original lateral area with the new one, we would find that it is multiplied by 9
Hope this helps :)
Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.
f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5
Answers
f(n) = 8, f(n+1) = f(n) -6.5
The first is the explicit definition, the other one is the corresponding recursive definition. In this sequence we can note that the first term f(1) is 8, the f(0) term is 14.5, and the difference d= -6.5.
Answer:
f(n) = –6.5n + 14.5
f(1) = 8, f(n + 1) = f(n) – 6.5
Step-by-step explanation:
The nth term of an arithmetic sequence is given as
Tn = a + (n-1)d
where a is the first term and d is the common difference between two consecutive terms
From the given sequence,
a = 8, d = 1.5 - 8
d = -6.5
As such, Tn = f(n) = 8 + (n-1)-6.5
= 8 - 6.5n + 6.5
= 14.5 - 6.5n
f(1) = 8
f(n + 1) - f(n) = – 6.5
f(n + 1) = f(n) – 6.5
If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.
Answers
6.55 ÷ 10 = .655
1 pound would cost about $0.65
evaluate the following algebraic expression if a equals 3 and b equals 4 2a^+5b
Answers
2a^2 + 5b = 2(3)^2 +5(4)
do the 3^2 first: 3^2 = 9
so now you have 2(9) +5(4)
now multiply both sets of numbers: 2 x 9 = 18 and 5 x 4 = 20
now add them:
18 +20 = 38
pls help soon:)
James threw a flying disc from a height of 4 feet above the ground. The disc travels a horizontal distance of 30 feet before falling to the ground. The height of the disc, in feet, at a distance of t feet from James, is modeled on the graph below.
FILL IN BLANK
The domain represents the A. horizontal distance covered by B. maximum height of C. possible heights of the flying disc. The range of this function is [A. 1 B. 0 C. 2, A. 7 B. 6 C. 5 ]. For this function, the range represents the flying disc's A. possible heights B. maximum heights C. horizontal distance covered
Answers
The range of this function is B. 0, A. 7. The range is defined by the minimum y-value (y = 0, at x = 30), and the maximum y-value (y = 7, at x = 12).
For this function, the range represents the flying disc's A. possible heights. This is the height as mentioned in the given, as it is the height of the disc being modelled on the graph as the disc travels horizontally.
Mario cut a circular pizza into 9 equal slices. he put a slice of pizza on each of 5 plates. what is the measure
for the angle of the slices that are left
Answers
The measure for the angle of the slices that are left is 160°.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Mario cut a circular pizza into 9 equal slices.
Angle of a circle = 360°
If Mario cut into 9 pieces.
360° / 9 = 40°
That means, the angle measure of each slice is 40°.
And he put a slice of pizza on each of 5 plates.
That means, he left 9 - 5 = 4 slice on the plate.
So, the angle measure;
4 x 40° = 160°
Therefore, the angle measure of the 4 slices are 160°
To learn more about the multiplication;
https://brainly.com/question/19634536
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a monument stands at level ground. The angle of elevation to the top of the monument taken at a point 405 feet away is 32°. Find the height of the monument.
Answers
= 405 / cos(32)
= 477.5672534
= 477.57 ft (2dp)
The height of the monument is approximately 253.2 feet.
To find the height of the monument, we can use trigonometry, specifically the tangent function, which relates the angle of elevation to the height and distance from the observation point.
Step-by-Step Solution:
Identify the given values:
Distance from the point: 405 feetAngle of elevation: 32°Use the tangent function:
tan(θ) = opposite / adjacent
Where θ is the angle of elevation, the opposite side represents the height of the monument (h), and the adjacent side represents the distance from the point (405 feet).
Set up the equation and solve for h:
tan(32°) = h / 405 feet
Using a calculator, find tan(32°):
tan(32°) ≈ 0.6249
So the equation is:
0.6249 = h / 405
Multiply both sides by 405 to solve for h:
h ≈ 0.6249 * 405
h ≈ 253.2 feet
Thus, the height of the monument is approximately 253.2 feet.
Find the critical value za/2 that corresponds to a 82% confidence level.
Answers
Step 1: α% = 100%-82% = 18%
Step 2: α = 18% = 0.18
Step 3: α/2 = 0.18/2 = 0.09
Step 4: 1- α/2 = 1-0.09 = 0.91
Step 5: Critical value of Z at 82%confidence level = Z at 0.91 (from Z tables) ≈ 1.34
The critical value (or z-score) that corresponds to a 82% confidence level is approximately ±1.34, which is determined using a standard normal distribution table related to the value calculated from α/2 = 0.09.
Explanation:To find the critical value za/2 that corresponds to a 82% confidence level, we start by knowing that confidence level (CL) is the area in the middle of the standard normal distribution. We know that CL = 1 - α, hence for this particular question, α = 1 - 0.82 = 0.18, and α/2 = 0.09. The Z score associated with α/2 = 0.09 in the standard normal distribution table, which represents the critical value za/2, is approximately ±1.34.
So for an 82% confidence level, the critical value za/2 is roughly ±1.34.
Learn more about Critical value and confidence level here:https://brainly.com/question/30803970
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1. WHAT DOES IT MEAN TO SOLVE A RIGHT TRIANGLE?
2. HOW CAN YOU SOLVE RIGHT TRIANGLES USING SIMILARITY? THE PYTHAGOREAN THEOREM?
3. WHAT IS THE RELATIONSHIP BETWEEN THE SIDES AND ANGLES MEASURES OF RIGHT TRIANGLES THAT
DESCRIBE TRIGONOMETRIC FUNCTIONS?
4. WHAT ARE THE INVERSE TRIGONOMETRIC FUNCTIONS? HOW ARE THE INVERSE FUNCTIONS USED WHEN
SOLVING RIGHT TRIANGLES?
5. WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION?
GIVE AN EXAMPLE OF AN APPLICATION USING THE ANGLE OF ELEVATION OR THE ANGLE OF DEPRESSION.
Answers
1) Solving a right triangle means finding the values of the unknown {most likely a variable}
2) The picture is for the Similarity in Right Triangles, I couldn't explain it.
How you can use Pythagorean Theorem: The formula for that is (a^2 + b^2 = c^2). The longest side of a triangle is called the hypotenuse, and the other sides are called legs. You usually use Pythagorean Theorem when you are trying to find an angle of a side. A and B in the formula are the legs and C is the hypotenuse, it makes sense because the hypotenuse is the longest side of the triangle, which means that it has a greater angle than the legs. So say you have a triangle with a leg of 5, a leg of 7, and the hypotenuse is unknown. (If you're a visual person, I also drew it on paint and put it in :P) The formula is a^2 + b^2 = c^2. The ^2 is an exponent, which means that we have to multiply the base by itself that many times. For example, if we had 3^4, we'd have to multiply 3 4 times. (3*3*3*3=81) So 5*5=25 and 7*7=49. It would be better it fill in the formula as you go. So now you have (25+49=c^2). You wouldn't multiply c^2, because we don't know the base yet, it's an unknown, so we keep it at that for a while. So now we just continue with the problem which is basically 25+49 which is 74. (74=c^2) But that's not the answer. We have to find the square root of 74 in order to get the answer because we have to multiply with an exponent, the opposite is square rooting which is what we have to do. (((what sucks is that I reached the max of files to enter for you so your just gonna have to read the rest. sorry))) So the square root of 74 is 8.6. And that's your answer. The legs are 5 and 7, and your hypotenuse is 8.6. But what if you need to find one of the legs. The formula would be a= [tex] \sqrt{c^2-b ^2} [/tex] ( I hope the insert thing works if it doesn't I said a= square root of c^2-b^2)
I hope you can solve that because I have to go to a testing Class Connect, and I don't think I've learned the other questions yet. I'm sorry, and I hope I've helped!!
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29)
Answers
Answer:
x=-4,1,2+5i,2-5i
Step-by-step explanation:
Given is an algebraic expression g(x) as product of two functions.
Hence solutions will be the combined solutions of two quadratic products
[tex]g(x) = (x^2 + 3x - 4)(x^2 - 4x + 29)\\[/tex]
I expression can be factorised as
[tex](x+4)(x-1)[/tex]
Hence one set of solutions are
x=-4,1
Next quadratic we cannot factorize
and hence use formulae
[tex]x=\frac{4+/-\sqrt{16-116} }{2} =2+5i, 2-5i[/tex]
Answer:
The answer above is correct:
B. 1
C. 4
E. 2+5i
F. 2-5i
Step-by-step explanation:
I got this right on Edg. 2021
1. Draw a right triangle with sides 2,2√3, and 4 units. Label all angle measures and sides. Using the side relationships from the figure, show that the following trigonometric identities hold true for either one of the non-right angles:
a. tan 0=sin 0/cos O
b.) sin^2(0)+cos^2(0)=1
where 0 represents whichever angle you choose
FYI...all of the 0 have a line through them
THank you because I don't understand this at all.
Answers
we know that
in a right triangle ABC
sin ∅=opposite side angle ∅/hypotenuse
cos ∅=adjacent side angle ∅/hypotenuse
tan ∅=opposite side angle ∅/adjacent side angle ∅
in this problem
opposite side angle ∅=2 units
adjacent side angle ∅=2√3 units
hypotenuse=4 units
so
sin ∅=2/4----> 1/2
cos ∅=2√3/4----> √3/2
tan ∅=2/2√3----> 1/√3----> √3/3
Part a) show that the following trigonometric identities hold true for either one of the non-right angles:
tan ∅=sin ∅/cos ∅
sin ∅=1/2
cos ∅=√3/2
tan ∅=(1/2)/(√3/2)--> (1/2)*2/√3---> 1/√3--->1/√3*(√3/√3)---> √3/3--> is ok
Part b) show that the following trigonometric identities hold true for either one of the non-right angles:
sin² ∅+cos² ∅=1
sin ∅=1/2
cos ∅=√3/2
so
(1/2)²+(√3/2)²=1------> 1/4+3/4----> 4/4----> 1=1----> is ok
A hotel has $504 to buy new pillows. If the cost of each pillow is $6, how many pillows will the hotel be able to buy? A) 78 B) 84 C) 88 D) 96
Answers
You can use the equation:
504 ÷ 6
84
The hotel can buy 84 pillows.
Hope this helped! :D
504 ÷ 6 = 84
Therefore, the hotel can buy 84 pillows
Hope this helps!
HELP ASAP!!!!!!
Solve and graph the inequalities below.
Describe your graphs using words as illustrated in the sample below.
SAMPLE: Part 1: The solution is x > 5 and x<=9.
Part 2: There would be an open circle on 5 and a closed circle on 9.
Part 3: The shading is between the two numbers.
Be sure that you have included all three parts when answering each question. "Greater than or equal to" would be typed >=. "Less than or equal to" would be typed <=.
1.) d - 1 > -3 and d + 2 < 5
2.) -3k + 7 > -5 and -7k + 5 < -2
3.)-5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson.)
4.)x - 4 < 5 or x + 2 > 15
5.) 5x - 4 > 6 or -4x + 5 > 1
Answers
d-1>-3→d-1+1>-3+1→d>-2
d+2<5→d+2-2<5-2→d<3
Part 1: The solution is d>-2 and d<3.
Part 2: There would be an open circle on -2 and an open circle on 3.
Part 3: The shading is between the two numbers.
2.) -3k + 7 > -5 and -7k + 5 < -2
-3k+7>-5→-3k+7-7>-5-7→-3k>-12→(-1/3)(-3k>-12)→k<4
-7k+5<-2→-7k+5-5<-2-5→-7k<-7→(-1/7)(-7k<-7)→k>1
Part 1: The solution is k>1 and k<4.
Part 2: There would be an open circle on 1 and an open circle on 4.
Part 3: The shading is between the two numbers.
3.)-5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson)
-5<2y-3<23→-5+3<2y-3+3<23+3→-2<2y<26→-2/2<2y/2<26/2→-1<y<13
Part 1: The solution is y>-1 and y<13.
Part 2: There would be an open circle on -1 and an open circle on 13.
Part 3: The shading is between the two numbers.
4.)x - 4 < 5 or x + 2 > 15
x-4<5→x-4+4<5+4→x<9
x+2>15→x+2-2>15-2→x>13
Part 1: The solution is x>9 or x>13.
Part 2: There would be an open circle on 9 and an open circle on 13.
Part 3: The shading is from 9 to the left and from 13 to the right.
5.) 5x - 4 > 6 or -4x + 5 > 1
5x-4>6→5x-4+4>6+4→5x>10→5x/5>10/5→x>2
-4x+5>1→-4x+5-5>1-5→-4x>-4→(-1/4)(-4x>-4)→x<1
Part 1: The solution is x<1 or x>2.
Part 2: There would be an open circle on 1 and an open circle on 2.
Part 3: The shading is from 1 to the left and from 2 to the right.
Consider a large population with a mean of 150 and standard deviation of 27. a random sample of size 25 is taken from the population. calculate the standard error of the sampling distribution of this sample mean and round your answer to the hundredths place.
Answers
Answer:
Standard error = 5.4
Step-by-step explanation:
We are given that Population Mean, [tex]\mu[/tex] = 150 and Population Standard deviation, [tex]\sigma[/tex] = 27 and sample size, n = 25
Standard error formula for the sampling distribution of this sample mean is given by;
Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{27}{\sqrt{25} }[/tex] = 5.4
100 POINTS
What is the area of the figure:
Answers
Answer:
144 ft²
Step-by-step explanation:
There are a number of ways you can solve this problem. One is to figure the leg lengths, and use those to compute the area of the triangle in the usual way.
AC = (24 ft)·sin(45°) = 12√2 ft
BC = (24 ft)·cos(45°) = 12√2 ft
Area = 1/2·AC·BC = (1/2)·(12√2 ft)·(12√2 ft) = 144 ft²
___
Another is to recognize that the altitude from the hypotenuse of this isosceles right triangle is half the length of the hypotenuse, or 12 ft. Then the triangle area formula gives the area as ...
Area = (1/2)·AB·(AB/2) = (1/2)·(24 ft)·(12 ft) = 144 ft²
___
Along the same lines, the triangle is half a square whose diagonals are both 24 ft. The area of the square is half the product of those diagonals:
square area = (1/2)·(24 ft)² = 288 ft²
The triangle area is half of that, or
Area = (1/2)(288 ft²) = 144 ft²
Answer:
144 ft²
Step-by-step explanation:
AC = (24 ft)·sin(45°) = 12√2 ft
BC = (24 ft)·cos(45°) = 12√2 ft
Area = 1/2·AC·BC = (1/2)·(12√2 ft)·(12√2 ft) = 144 ft²
7 times as much as the sum of 1_3 and 1_4
Answers
This becomes 7(27) = 189
Domingo works 40 hours per week as a tire store manager. If he made $29,640 last year, how much was he paid per hour? A. $14.25 B. $16.50 C. $12.25 D. $11.00
Answers
This can be found by dividing 29,640 by 52 (weeks in a year) to get 570. Then divide 570 by 40 (hours per week he works) to get your final answer of $14.25.
I hope this helps!
By dividing Domingo's annual salary of $29,640 by the total number of hours worked in a year (2080 hours), we find that his hourly rate is $14.25.
To determine how much Domingo was paid per hour, we need to follow these steps:
Find the total number of hours Domingo worked in the year. He works 40 hours per week for 52 weeks, so the total is 40 hours/week × 52 weeks/year = 2080 hours/year.Calculate the hourly wage by dividing his total annual salary by the total number of hours worked. He made $29,640 last year, so we do the following calculation: $29,640 / 2080 hours = $14.25/hour.Therefore, Domingo was paid $14.25 per hour.
Answer: A. $14.25Select the best answer for the question.
2. Express the fractions 3/4, 7/16, and 5/8 with the LCD.
A. 9/16, 49/16, 36/16
B. 3/4, 2/4, 3/4
C. 12/16, 7/16, 10/16
D. 24/32, 14/32, 24/32
Answers
7/16
(5/8)(2/2)=(5*2)/(8*2)=10/16
/Answer: Option C. 12/16, 7/16, 10/16
an aquarium weighs 22.5 lb when empty the aquarium is 30 in long 14 in wide and is filled with water to a depth of 18 in. Water weighs 0.036 pounds per cubic inch. How much does the aquarium weigh when it's full of water
Answers
Volume=(length*width*height)
V=30×14×18
V=7560 in³
But
weight of water is such that for every cubic inches, the weight is 0.036 lb
thus the weight of water will be:
0.036×7560=272.16 lb
Thus the total weight of the aquarium is:
272.16+22.5
=294.66 lb
The weight of the aquarium when it's full of water is 294.66 pounds.
To get the weight of the aquarium we first calculate the volume of the aquarium.
[tex]Volume=(length\times width\times height)[/tex]
[tex]V=30\times 14\times18[/tex]
[tex]V=7560 \ in^3[/tex]
But weight of water is such that for every cubic inches, the weight is [tex]0.036\ lb[/tex]
thus the weight of water will be:
[tex]0.036×7560=272.16 lb[/tex]
Thus the total weight of the aquarium is:
[tex]272.16+22.5[/tex]
[tex]=294.66 \l b[/tex]
The weight of the aquarium when it's full of water is 294.66 pounds.
In the diagram, what is the measure of angle 1?
A. 135°
B. 125°
C. 15°
D. 45°
Answers
angle (3x) and angle (9x) are supplementary angles
so
3x+9x=180°------> 12x=180°------> x=180°/12-----> x=15°
angle (9x) and angle (1) are supplementary angles
so
9x+∡1=180---------> 9*15+∡1=180
∡1=180-9*15---------> ∡1=180-135------> ∡1=45°
the answer is
∡1 is 45°
alternative method
angle 1 = angle 3x----------> vertical angles
∡1=3x-----> 3*15-----> 45°
5 to 2 = __ to 4 and also 14 to 21 = __ to 15
Answers
[tex] \frac{5}{2} = \frac{x}{4} [/tex]
Cross multiply the fractions:
[tex]2x = 20[/tex]
Divide both sides by 2 to get x by itself.
[tex]x = 10[/tex]
5 to 2 is equal to 10 to 4.
------------
2) Set up proportions for the ratios:
[tex] \frac{14}{21} = \frac{x}{15} [/tex]
Cross multiply the fractions:
[tex]21x = 210[/tex]
Divide both sides by 21 to get x by itself:
[tex]x = 10[/tex]
14 to 21 is equal to 10 to 15.
------------
OPTIONAL:
To make 2) easier to solve, simplify 14 to 21.
[tex] \frac{14}{21} / \frac{7}{7} = \frac{2}{3} [/tex]
Then, continue with the problem as described above:
[tex]\frac{2}{3} = \frac{x}{15}[/tex]
[tex]3x = 30[/tex]
[tex]x = 10[/tex]
The amount after 8years will be what
Answers
t=8
r=7%=0.07
n=4
Now all of this have to be substituted to the formula
A=5000(1+0.07/4)^(4*8)=5000(1+0.07/4)³²=8711.07
Q9 Q13.) Find the products AB and BA to determine whether B is the multiplicative inverse of A.
Answers
P.S. The Brainly system is a little too complicated for me to use in order to answer this question correctly. I used another system which I took a screenshot of it. See pictures below for the answers!
Let me know if you have any questions!
at a shopping mall,4/9 of the shoppers were children and 5/7 of the adults were woman.They were 1/2 as many boys as men.They were 90 more girls than boys. (a) what fraction of the shoppers in the shopping mall were men ? (b) How many shoppers were in the shopping mall ?
Answers
Step One
Let the children = C
Let the adults = A
Let the Men = M
Let the Women = W
Let the Boys = B
Let the Girls = G
Let the total number of shoppers = T
Find the Fraction of Children
4/9 T = C
Find the fraction of adults
T - 4/9 T = A
5/9 T = A
Find the Fraction of Women
5/7 A = W
(5/7) (5/9) T = W
(25/63) T = W
Find the Fraction of Men
Note if 5/7 of the adults are women then 2/7 of the adults are men.
2/7 A = M
2/7 5/9 T = M
10/63 = M <<<<<<< Answer for fraction of Men
Find the fraction of Boys. The boys = 1/2 the Men
1/2 M = B
(1/2)(2/7)(5/9)T = B
5/63 T = B
Find The fraction of Girls
(4/9)T - B = G
4/9 T - 5/63 T = G
(28 / 63) T - (5/63/)T = G
(28/63 - 5/63)T = G
(23 /63) T = G
Find the total number of shoppers.
B + 90 = G
(5/63) T + 90 = (23/63) T
90 = (23/63)T - (5/63)T
90 = (18/63)T
90 (63/18) =T
T = 5*63
T = 315 Answer for total number of Shoppers
Note see above for the fraction of men.
PLEASE HELP ME!!!!!!!! ASAP
Answers
A
The A choice is that the y intercept of g(x) < y intercept of f(x). Remember, a y intercept occurs when x = 0
g(x) = 2 * sqrt(x) - 8
g(0) = 2*0 - 8
g(0) = - 8
=======
f(x) = - 4 when x = 0 (you just read it.) - 4 is greater than -8. That's a true statement. Think money. Would you rather be 4 dollars in debt or 8 dollars in debt?
A: True <<<<<< answer for A.
B
y intercept occurs when x = 0 The values of f(x) and g(x) have been found in part A.
Are they equal?
The y intercept of g(x) = g(0) = 2*sqrt(0) - 8 = - 8
The y intercept of f(x) = f(x) = - 4 when x = 0
Conclusion
They are not equal and B is not the answer.
C
The x intercept occurs when y = 0
g(x) = 0
0 = 2*sqrt(x) - 8
8 = 2*sqrt(x)
4 = sqrt(x)
x = 16
======
When f(x) = 0, x = 16.
Conclusion
The x intercepts are both 16. This statement is true.
C: True <<<<<< answer.
D
If the condition is anything but equal, the statement is false. g(x) is not greater then f(x).
D <<<<<< False.
0.04 × 0.61 =
Tell me how to work this out
Answers
X0.61---|^|------|--|
--------<-=-------|--|
--0.04-----------|--|
+2.40------------|--|
--------<-=-------|--|
2.44<---------------|
your answer is 2.44/ 0.04 X 0.61 = 2.44
A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. What is the area of the Japanese garden around the koi pond? Use 3.14 for pi. 195.74 ft2 224.00 ft2 252.26 ft2 337.04 ft2
Answers
Area of circle = 3.14 (3^2) = 3.14 x 9 = 28.26 ft^2
so
Area of of the Japanese garden around the pond = 224 - 28.26 = 195.74 ft^2
answer
195.74 ft^2
Answer: [tex]195.74\ ft^2[/tex]
Step-by-step explanation:
From the given picture, the length of the garden = 16 ft
The width of the garden = 14 ft
Now, the area of the whole garden is given by :-
[tex]\text{Area of whole garden}=length\times width\\\\\Rightarrow\text{Area of whole garden}=16\times14=224\ ft^2[/tex]
Also, the radius of the circular pond (r)= 3 ft
The area of the circular pond is given by :-
[tex]\text{Area of pond}=\pi r^2\\\\\Rightarrow\text{Area of pond}=(3.14)(3)^2\\\\\Rightarrow\text{Area of pond}=28.26\ ft^2[/tex]
Now, the area of the Japanese garden around the koi pond
= Area of the whole garden - Area of the Koi pond
=[tex]224-28.26=195.74\ ft^2[/tex]
Hence, the area of the Japanese garden around the koi pond is [tex]195.74\ ft^2[/tex]