Answer:
[tex]f(x)=\sqrt{x+5}-3[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=\sqrt{x-h}+k[/tex]
Therefore, the parent function is [tex]f(x)=\sqrt{x}[/tex]
[tex]f(x)=\sqrt{x-h}+k[/tex] can be obtained by translating [tex]f(x)=\sqrt{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt{x}[/tex] is the origin
Therefore, this graph has been translated 5 units to the left and 3 units down.
Therefore, [tex]h=-5[/tex] and [tex]k=-3[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt{x-(-5)}+(-3)[/tex]
[tex]\implies f(x)=\sqrt{x+5}-3[/tex]
What is the diameter of a sphere with a volume of 397 m 3 to the nearest tenth of a meter?
The diameter of a sphere with a volume of 397 meter cube to the nearest tenth of a meter is 9.1 meters
Volume of a spherevolume of a sphere = 4 / 3 πr³
where
r = radius of the sphereTherefore,
volume = 397m³
Diameter = radius × 2
Hence,
volume of a sphere = 4 / 3 πr³
volume of a sphere = 4 / 3 × 3.14 × r³
397 = 12.56 / 3 r³
cross multiply
397 × 3 = 12.56 r³
1191 = 12.56 r³
divide both sides by 12.56
r³ = 1191 / 12.56
r = ∛94.8248407643
r = 4.56009658
Hence,
diameter = 4.56009658 × 2 = 9.12 = 9.1 meters
learn more on sphere here: https://brainly.com/question/3008257
Question
A local event planner wants to cover a circular region with mud for an obstacle course. The region has a circumference of about 157 feet. The cost to cover 1 square foot with mud is $1.50. Approximate the cost to cover the region with mud. Round to the nearest ten dollars if necessary.
The cost to cover the cirular region with mud is about $2940
How to calculate area?
The circumference of the circular region is about 157 feet. Hence:
circumference = 2π * radius
157 = 2π * radius
Radius = 78.5 / π
The area is given as:
Area = π * radius² = π(78.5 / π)² = 1961.5 ft²
Cost = $1.5 * 1961.5 = $2940
The cost to cover the cirular region with mud is about $2940
Find out more on area at: https://brainly.com/question/25292087
7. An arched window has dimensions as
shown at the right. Consider the top of the
window to be a semicircle. How much plastic
covering is needed to cover the window,
following the outline of the window?
The amount of plastic covering needed to cover the window is 25.71.
How much plastic covering is needed?The window consists of a semi circle and a rectangle. The circumference and the perimeter of the semi circle and a rectangle has to be determined.
Circumference of the semi circle = 1/2πd + d
Where:
π = 3.14
d = diameter = 3
1/2 x 3.14 x 3 + 3 = 7.71
Perimeter of the rectangle = 2(length + width)
2x (6 + 3) = 18
18 + 7.71 = 25.71
Please find attached an image of the window. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029
Are my answers correct?
Answer:
Yes they are both correct.
Step-by-step explanation:
yes they are both correct.
a random sample of 45 art students revealed that 20 prefer prefer painting over sculpture if there are 2k students in an art program how many would be expected to prefer painting over scultuprue
Using proportions, it is found that 889 students would be expected to prefer painting over scultuprue.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 20 out of 45 students prefer painting over sculpture. Out of 2000 students, how many students would be expected to prefer painting? The rule of three is given by:
20 - 45
n - 2000
Applying cross multiplication:
45n = 20 x 2000
n = (20 x 2000)/45
n = 889.
889 students would be expected to prefer painting over scultuprue.
More can be learned about proportions at https://brainly.com/question/24372153
Select the correct answer. robin randomly selects a number between 1 and 20. what is the probability that the number selected is the square of a natural number? a. b. c. d. e.
The probability that the number selected is the square of a natural number will be [tex]\frac{1}{5}[/tex].
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
P is the probability
F(E) is the favorable event
T(E)is the total event
The probability is found as;
[tex]\rm P = \frac{F(E)}{T(E)} \\\\ \rm P = \frac{4}{20)} \\\\ \rm P = \frac{1}{5}[/tex]
Hence the probability that the number selected is the square of a natural number will be [tex]\frac{1}{5}[/tex].
To learn more about the probability link is given below.
https://brainly.com/question/795909
Answer:
Option D is the correct answer
Step-by-step explanation:
D. [tex]\frac{1}{5}[/tex]
What is the area and perimeter for this ?
Answer:
Step-by-step explanation:
The area of a parralelogram is B*H
Base is 20.2
Hight is 12
20.2*12=242.4
Perimeter is the sum of all sides
20.2*2+12*2=64.4
Find the surface area
Answer:
B.
Step-by-step explanation:
6x3=18
18x4=72
3x3=9
9x2=18
72=18=90
ASAP HELP, PLEASE HELP NEED IT FOR COLLEGE SCHOLARSHIP PLEASE HELP ASAP i really need it for college scholarship help ive to submit it about 20 minutes pleae help
Answer:
I think it might be 30pi m or 94.2 m.
Step-by-step explanation: So you are finding the perimeter of the circle. You have a radius of 15, the perimeter for a circle is C=2pir. Now we can do C=2pi(15). The answer is 30pi or C=2 x 3.14 x 15= 94.2 Hope this helps.
PLEASE HURRY NEEDED ASAP
Answer:
1: Is a function
2: Isnt a function
3: Is a function
4: Isnt a function
Reminder: Functions CAN"T have the same x values but different y values!!!!
Have a great day!!
Please rate and mark brainliest!!
Answer:
Sorry, all I know is the first one is a function.
Step-by-step explanation:
It's linear, and passing the vertical line test because it only has a point on each part of the x-axis, if you were to graph it.
Arnav is also selling boxes of cookies he sells each box for 3.75 his goal to make more than 30 how many boxes of cookies could he sell to reach his goal
p-p-p-q-q-q =?
its urgent
Hey there!
Let's combine like terms:
p-p-p-q-q-q
p-p-p=-p
-p-p-q-q-q
-p-3q
Remember, like terms are from the same "family"
So p's are from the p family, and q's are from the q family.
Hope everything is clear.
Let me know if you have any questions.
#LearningDoesn'tEnd
What is the period of the cosecant function graphed below?
A) pi/2
B) pi
C) 3pi/2
D) 2pi
A triangle has sides with lengths of 63 miles, 64 miles, and 85 miles. Is it a right triangle? Yes or no?
Answer:
no it is not a right angled triangle.
Step-by-step explanation:
forthetra
Leo designs a stand for the new statue on display at the local library. The stand is in the shape of a right trapezoidal prism. The base of the prism has an area of 3 ft2, and the prism stands 3.2 feet high. As Leo paints the stand, he calculates the surface area of the stand to be 35 ft2.
Leo is asked to purchase roping that will be used to close off the area around the statue. He purchases a length that is five times the perimeter of the stand in roping.
How much roping does he purchase?
Leo plans to add gold leaf to the sides of the stand but not to the two bases.
What percent of the area of the stand will have gold leaf? Round your answer to the nearest whole number.
Answer:
A: 45 5/16
B: The present of the area as 83%
Step-by-step explanation:
(a)
35= 3+3+3.2x+3.2x+3.2x+3.2x
35= 6 + 12.8
29/12.8 +12.8x/12.8
X=2.265625 = 2/12/64
1x = 2 17/64 * 4 + 9 1/16
P = 45 5/16
(b)
The present of the area as 83%
35 – the bases or 6 = 29
29/35 + 0.82857142857
0.82857142857 * 100 = 82.8571428571
Rounded to the nearest whole number is 83%
I have to turn a bunch of these questions tomorrow so pleade help
Answer:
21,42/2,-(42/-2)
Step-by-step explanation:
please mark me as brainlest
Please help math.......100pts
Answer:
8000Step-by-step explanation:
Solve as requested in the question, round each number:
3008 ≈ 30005243 ≈ 5000The sum is:
3000 + 5000 = 8000Answer:
8000
Step-by-step explanation:
3008 rounded to nearest thousand: 30005243 rounded to nearest thousand: 5000⇒ 3008 + 5243 ≈ 3000 + 5000
⇒ 3000 + 5000 = 8000
How many seconds are in 3 minutes?
There are 60 seconds in one minute.
Complete the table.
Answer:
1 min- 60 secs
2 mins- 120 secs
3 mins- 180 secs
Step-by-step explanation:
If one minute equals 60 seconds then you would times 60 seconds by the number of minutes.
1x60=60
2x60=120
3x60=180
Help please…………………….
Answer:
get better maybe
Step-by-step explanation:
just pay attention in class
last year there were c pies baked for the bake sale this year there were 229 pies baked using c write an expression for the total number of pies baked in the two years
Answer: c+229
Explanation: c represents and unknown variable and since you are just trying to find the sum of the two years, you simply need to add the two together.
Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7ft to 1in. The dimensions of the deck are 28ft by 17.5ft. What are the dimensions of the deck in the drawing? show your work.
Answer:
4 inches by 2.5 inches
Step-by-step explanation:
The scale factor is 7 feet/1 inch.
This can be written as 7'/1" or as 1"/7'
28 feet converts to (28')*(1"/7') = 4"
17.5 feet converts to (17.5)*(1"/7') = 2.5"
The drawing dimensions are 4 inches by 2.5 inches.
Answer:
Step-by-step explanation:
Kris’s mom is putting up a border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How many borders will be needed to go all the way around the room?
42 feet
44 feet
22 feet
120 feet
= 12 + 10 + 12 + 10
= 2x12 + 2x10
= 24 + 20
= 44 feet of borders
Answer:
its 44
Step-by-step explanation:
add 10+10 then add 12+12
PLEASE HELP ASAP 30 POINTS!!!!!!!!!
Answer:
$11.25
Step-by-step explanation:
multiply 15 by 25% which is .25
15 * 0.25 = 3.75
minus 3.75 from 15
15 - 3.75 = 11.25
The diagram below shows how much time Antoine spends doing different activities each day. How many hours does Antoine sleep in a day?
Your missing the diagram. Thus, I will try my best to help
Answer/Step-by-step explanation:
Given;
The diagram below shows how much time Antoine spends doing different activities each day.
How many hours does Antoine sleep in a day?
Solve;
To find how many hours does Antoine sleep in a day;
24 hour × percent of hour sleep = Hours sleep in a day
The sleeping hours = 24h × % = Hour
If you still do not understand please shown the diagram!
~Learn with Lenvy~
please solve this
with each step
Step-by-step explanation:
please mark me as brainlest
AYUDA ES PARA HOY ayudaaaaaaaaaa
Answer:
The answer is 12
Step-by-step explanation:
Find the height of a triangular pyramid with a volume of 13 m and a base area of 7 m
Answer:
h = 0.79591836734694 m
Step-by-step explanation:
h = height
s = slant height
a = side length
P = perimeter of base
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area
can y’all please helpppp , i’ll give brainliest
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]
The y - coordinate of a point lying on that function is represented by f(x) for each value of x, so let's find the corresponding value of x, when f(x) = 0
In the given case, y - coordinate of two points is equal to zero. hence we will get two distinct values of x
that is :
[tex]\qquad \sf \dashrightarrow \: x = - 2 \: \: and \: \: x = 4[/tex]
The price of gas increased from $2.20 per gallon on Monday to $2.31 per gallon on Tuesday. What is the percent of increase?
Anyone please help me
Answer:
3
Step-by-step explanation:
these are 2 similar triangles (all 3 pairs of corresponding angles are equal in their pair, and the lengths of corresponding sides have the same ratio in every pair of corresponding sides and other lengths).
and they are also right-angled triangles.
so, what else do we know about them ?
PQ = 18
RT = 6
ST = QT + 9
therefore
QT = ST - 9
and
QR = QT + RT = ST - 9 + 6 = ST - 3
due to the principles of cumulative triangles
PQ/ST = QR/RT = 18/ST = (ST - 3)/6
108/ST = (ST - 3)
108 = (ST - 3)ST = ST² - 3ST
ST² - 3ST - 108 = 0
we can the write
x² - 3x - 108 = 0
and the solution for such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -3
c = -108
x = (3 ± sqrt(9 - 4×1×-108))/2 = (3 ± sqrt(441))/2 =
= (3 ± 21)/2
x1 = (3+21)/2 = 24/2 = 12
x2 = (3-21)/2 = -18/2 = -9
a negative solution for real lengths is not valid, so we know
x = ST = 12
so,
QR = ST - 3 = 12 - 3 = 9
and then
QT = QR - RT = 9 - 6 = 3