Answer:
The end behavior of f(x)=2/3x-2 is: as x->+ infinity, f(x)->+ infinity
as x->- infinity, f(x)->- infinity
Step-by-step explanation:
When you are asked about the end behavior of a function, look to see where the function is traveling on the graph. For instance, this graph is linear, so you should look to see if the slope is positive or negative. This linear function is positive, so as x is reaching positive infinity the f(x) would also be reaching positive infinity. As x is reaching negative infinity, f(x) would also be reaching negative infinity. The end behavior of a function describes the trend of the graph on the left and right side of the x- axis. (As x approaches negative infinity and as x approaches positive infinity).
Find the lateral area of this cone.
Leave your answer in terms of pi.
3cm
4cm
The lateral area of the cone is 20π square centimeters.
Given that a cone with base radius of 4 cm and the height is 3 cm, we need to find the lateral area of the cone,
The lateral area of a cone can be calculated using the formula:
Lateral Area = π r l
where:
π is a mathematical constant approximately equal to 3.14159.
r is the radius of the base of the cone.
l is the slant height of the cone.
To find the slant height, we can use the Pythagorean theorem.
The slant height (l) is the hypotenuse of a right triangle formed by the height (h) and the radius (r) of the cone.
The formula is:
l = √(r² + h²)
Given that the base radius (r) is 4 cm and the height (h) is 3 cm, we can calculate the slant height (l):
l = √(4² + 3²)
= √(16 + 9)
= √(25)
= 5
Now we can substitute the values into the formula for the lateral area:
Lateral Area = π r l
= π × 4 × 5
= 20π
Therefore, the lateral area of the cone is 20π square centimeters.
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Harvey bought two pinatas, one shaped like a soccer ball and one
shaped like a basketball. Both pinatas are spheres with a radius of 5 inches.
What is the total volume of both pinatas? Round to the nearest tenth.
Answer:8.65
Step-by-step explanation:
Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. In centimeters, what is the combined length of their two shoes?
Answer:
27.7 cm
Step-by-step explanation:
(12,45cm + 2.8cm)=(belinda's shoe+felix added cm)= felix's shoe
12,45cm= belinda shoe
combined lenght = 12,45+ 15,25=27.7 cm
The combined length of the Belinda's shoe which is 12.45 centimeters long and Felix's shoe is 27.7 centimeters.
How to measure the length?Length measurement is the measurement of the size of a object. The units of length measurement are meter, feet, yards etc.
In the metric system of length measurement the units are meter, kilometer, centimeter etc.
Centimeter-This unit is used when the size of a small object has to measure, such as match box, books. There are total 100 centimeters in one meter.Meter-This is the basic unit of length measurement of size. The size of room, length of wall measured in centimeter.Belinda's shoe is 12.45 centimeters long. Felix's shoe is 2.8 centimeters longer than Belinda's shoe. Let suppose the length of Felix's shoe is x meters. Thus,
[tex]x=12.45+2.8\\x=15.25\rm\; cm[/tex]
In centimeters, the combined length of their two shoes is,
[tex]l=15.25+12.45\\l=27.7\rm\; cm[/tex]
Thus, the combined length of the Belinda's shoe which is 12.45 centimeters long and Felix's shoe is 27.7 centimeters.
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What is the median of the data set?
10, 18, 21, 25, 31, 33, 36
O A. 10
O B.7
C. 36
D. 25
Answer:
D
Step-by-step explanation:
Median = The middle number ( in terms of value )
So the first step is usually to put the set of numbers in order from least to greatest but they have already done that for us
That being said all we have to do is find the middle number
In the set, 10, 18, 21, 25, 31, 33, 36
the middle number would be 25
therefore your answer is D
Answer:
D. 25
Step-by-step explanation:
10, 18, 21, "25", 31, 33, 36
Hope this helps
What is the average of 87 and 62
Answer:
74.5
Step-by-step explanation:
Answer: The answer is 74.5
Step-by-step explanation:
Hope this helped! :)
Which best describes the equation that the graph represents?
Answer:
third option
Step-by-step explanation:
time ('x') is the independent variable so that leaves only options 1 and 3 as the answer
is the slope equal to 0.6 or 1.8?
I used the slope formula with the following points: (1,2) and (5,9)
(9-2) / (5-1) = 7/4 = 1.75, or 1.8
please help i don't understand
Answer:
Step-by-step explanation:
the answer is 3/7
Answer:
3/7
Step-by-step explanation:
You could also write this expression as 3(1/7): "three times one seventh."
Multiplying the '1' by the '3' yields the desired fraction: 3/7
Expand logarithm equation
Answer:
6log_4(x) - 4log_4(y)
Put in order from smallest to largest: 0, 9/5, 0.25, 0.99, 1/3, 9/10, 1, 0.5
Answer:
0,0.5,9/10,0.25,1/3,0.99,1
Step-by-step explanation:
Answer:
if the smallest and the largest order is
0, 0.5, 0.25, 0.99, 1, 1/3, 9/5, 9/10
therefore:
the order from smallest is 0
the order from largest is 9/10
About 80% of the precipitation that enters Crater Lake falls directly on the surface of the lake. Write this percent as a decimal.
80% =
Answer: 0.80
Step-by-step explanation:
Given
80% of the precipitation falls on the lake surface
The percentage can be written as
[tex]x\%=\dfrac{x}{100}[/tex]
[tex]\therefore 80\%=\dfrac{80}{100}=0.80[/tex]
The number of blueberry muffins made is 40% of the total number of total muffins they make daily.
On tueday, the baker makes 60 muffins. How many miffins does the Baker bakes on Tuesday?
The answer to your question is:
24
Answer:
probably 24
Step-by-step explanation:
help please ASAP ILL GIVE BRAINLIST
Answer:
1) A transformation that is not a rigid motion results in a change in shape size.
2) Translation of -3/6
Match each probability to its likelihood to occur
1.
2.
3.
4.
Answer:
I am just assuming that anything below 50% (or 5/10 or .5) is unlikely, and anything above 50% is likely. If your instructor uses a different comparison, please use his or her notes to check.
.89 is likely
17% is unlikely
8/16 is neither likely nor unlikely
.37 is unlikely
find the angle measure indicated
Answer:
? = 58°
Step-by-step explanation:
Angles subtended by tangents and radii of a circle are supplementary, so
? + 122° = 180° ( subtract 122° from both sides )
? = 58°
I need to find the unknown dimension of a rectangle if its area is 216 square miles and one dimension measures 6 miles
Answer:
36 miles
Step-by-step explanation:
The area of a rectangle = Length × Width
One dimension = 6 miles
Area = 216 square miles
Hence, the other dimension = 216 square miles/6 miles
= 36 miles
The unknown dimensions is 36 miles
Manuel borrowed $1,500 from his bank and signed a
contract to make monthly payments for two years at 4%
interest compounded annually. How much total interest
will Manuel pay on this loan?
Answer:
The total interest to pay back on the loan is $122.40
Step-by-step explanation:
Here. we want to get the amount of interest on the loan
We are going to use the compound interest formula here
A = P(1 + r/n)^nt
where A is the amount to be paid back
P is the amount borrowed called the principal which is $1,500
r is the interest rate which is 4% annually
This is same as 4/100 = 0.04
n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1
t is the number of years = 2
So we have;
A = 1500(1 + 0.04/1)^(2)(1)
A = 1500(1.04)^(2)
A =$ 1,622.40
So the amount of interest is the difference between the amount borrowed and the value to pay back
That will be;
$1,622.40 - $1,500
= $122.40
Angle ACB = 74º What is the size of angle ABC?
Answer:
[tex]assume \: its \: is \: a \: right \: angled \: triangle \\ < ABC + < ACB + 90 \degree = 180 \degree \\< ABC = 180 \degree - (74 + 90)\degree \\ < ABC = 16\degree[/tex]
Solve the right triangle. Find ST, m
Round your answers to the nearest whole number.
Answer:
st=22
m<r=68
m<t=22
Step-by-step explanation:
Side rt = 24
Side sr = 9
Side st = 22.2486
Angle ∠s = 90° = 1.5708 rad = π/2
Angle ∠t = 22.024° = 22°1'28" = 0.3844 rad
Angle ∠r = 67.976° = 67°58'32" = 1.1864 rad
Solve central angle
Answer:
BC=48 degrees, AD= ??
Step-by-step explanation:
I'm going to find the angle BC so a full circle is 360 degrees but half of a circle is 180 degrees since we are dealing with half a circle its 180, 90 and 42 are already used so lets add these two numbers which is 132 lastly to find out the remaining which is angle BC we have to subtract 180-132 which is 48. So your first answer is 48.
Next is AD which i don't know how to do, Sorry :(
Help please I don’t understand
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
since we know the angle and the Hyp, and want to find the opp, use
SOH
Sin(41) = Opp / 111
111*Sin(41) = Opp
72.82255... = Opp
x = 72.8 ( rounded to nearest 10th )
ask if you want more explanation. :)
Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to
Answer:
66
Step-by-step explanation:
18+15+18+15
Answer: The answer is 66 18+15+18+15.
Lisa reads 1/2 of a 200 page book
in 4 days. How many days
would it take Lisa to read a 600
page book?
Answer: 24 days
Step-by-step explanation:
Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.
4 days = 100 pages
X days = 600 pages
24 days = 600 pages
Nancy ran a total of 35 miles to train for a race.She ran 2.5 miles each day.How many days did Nancy run to train for the race?
Answer:
14 days
Step-by-step explanation:
you divide the total distance, 35, by the amount of miles ran per day, 2.5, to get 35/2.5=14.
What is the missing step in this proof
Answers are: A. CAB, ACB, EDB, DEB
B. ADE, DBE, CED, EBD
C. CAD, ACE, ADE, CED
D. CAB, EDB, ACB, DEB
The missing step in the given proof is ∠DEB ≅ ∠ACE
How to prove similar triangles?From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.
Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.
Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.
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the x and y axis are tangent to a circle with radius 3 units. write a standard equation of the circle.
Given:
The x and y axis are tangent to a circle with radius 3 units.
To find:
The standard form of the circle.
Solution:
It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.
We know that the radius of the circle are perpendicular to the tangent at the point of tangency.
It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where, (h,k) is the center of the circle and r is the radius of the circle.
Putting [tex]h=3,k=3,r=3[/tex], we get
[tex](x-3)^2+(y-3)^2=3^2[/tex]
[tex](x-3)^2+(y-3)^2=9[/tex]
Therefore, the standard form of the given circle is [tex](x-3)^2+(y-3)^2=9[/tex].
can you solve this? (x−1)2+(y−2)2=4
Answer:
x=5-y
Step-by-step explanation:
Georgia adds two proper fractions and gets 8/7 as an answer
Work out
the two fractions.
Answer:
1/2 and 9/14
Step-by-step explanation:
Let the first fraction be 1/2
Let the second fraction be x
1/2 + x= 8/7
x= 8/7-1/3
= 16-7/14
= 9/14
Hence the two numbers are 1/2 and 9/14
CARL BUYS 4 ONT PINT CARTONS OF MILK. HE BUYS LESS JUICE THAN MILK. WHICH COULD BE THE AMOUNT OF JUICE.
Answer:
0 pints ≤ J ≤ 4 pints
Where J is the amount of juice that Carl bought.
Step-by-step explanation:
Here we need to learn how to use the inequality symbols.
Let's define each one of them:
A < B (A is strictly smaller than B)
A > B (A is strictly greater than B)
A ≤ B (A is smaller than or equal to B)
A ≥ B (A is greater than or equal to B)
A ≠ B (A is different than B)
Ok, in this case, we know that Carl buys 4 one-pint cartons of milk.
Then the total amount of mil that he buys is 4 times one pint, this is:
4*1 pint = 4 pints
He has 4 pints of milk.
And we know that he buys less juice than milk, then if J represents the amount of juice that he bought, we need to have:
J < 4 pints
This means that the amount of juice that he bought is smaller than the quantity of milk that he bought (4 pints)
If we want to be more correct, we should write:
0 pints ≤ J ≤ 4 pints
Here we say that J needs to be a positive number (we can't buy a negative quantity of juice)
Grogg says that if you square a number then square eoot it, he will always end up with the same number he started with. Is this correct? Why or Why not?
Answer:
Yes
Step-by-step explanation:
Given a number, a
Square of number = a²
Square root of number = √a² = a
Assume a = 4
The square of 4 = 4² = 16
The square root of 16 = √16 = 4
Hence, Grogg is correct
Find the volume of the prism as pictured below with base area 10 cm2 and
h = 32 cm. Do not include units in your answer.