Answer: The correct answer option is B.
Step-by-step explanation:
We are to determine whether which of the given data sets in the answer options are continuous.
For this, we need to know what a continuous data set is.
A data set that has no definite end to its value but keeps on continuing.
Here, the data sets are given in A, C, D, and E have definite starting and ending points.
While B is a continuous set as its values are continuing to infinity.
Note: Figure is not drawn to scale.
If h = 7 units and r = 3 units, then what is the volume of the cone shown above?
We know:-
[tex] \bigstar \boxed{ \rm Volume \: of \: Cone = \frac{1}{3} \pi {r}^{2} h}[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \pi {r}^{2} h[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times {3}^{2} \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{3} \times \pi \times 3 \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone = \dfrac{1}{\cancel3} \times \pi \times \cancel3 \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 3 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\sf Volume \: of \: Cone =\pi \times 21\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto\bf Volume \: of \: Cone = 21\pi[/tex]
[tex] \\ \\ [/tex]
Therefore option C is correct.
The Volume of the cone is 21π cubic units
The volume of a coneThe formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
where:
r is the radius = 3 units
h is the height = 7units
The volume of the cone = 1/3π(3)²*7
Volume of the cone = 3π * 7
Volume of the cone = 21π cubic units
Hence the Volume of the cone is 21π cubic units
Learn more on volume of a cone here: https://brainly.com/question/1082469
What is the area of a circle (added a screen shot)
Answer:
2pi(5) - 2pi(3)
Step-by-step explanation:
hopefully that helped. just use formula and plug in the radius (:
Answer:
28.26 cm ^2
Step-by-step explanation:
A= [tex]\pi[/tex] r ^2
A= 3.14 x 3 x 3
A = 28.26 cm ^2
On a piece of paper, sketch or use a protractor to construct right triangle ABC with AB=3 in., m∠A=90°, and m∠B=45°.
What statement is true about the triangle?
A. BC=3 in
B. AC=3 in.
C. AC=6 in.
D. BC=6 in
I don't understand this please help
Answer:
350
Step-by-step explanation:
The solution to the equation can be found by multiplying by the denominator, then dividing by its coefficient.
[tex]0.22 = \dfrac{77}{x}\qquad\text{given}\\\\0.22x = 77\qquad\text{multiply by $x$}\\\\x=\dfrac{77}{0.22}=350\qquad\text{divide by the coefficient of x}[/tex]
The missing value in the fraction is 350.
__
Additional comment
Here, we have rewritten the percentage as a decimal fraction. You could also rewrite it as a ratio of two integer: 22% = 22/100. Sometimes there is confusion about percentages. It can help to think of the % symbol as meaning /100:
22% = 22/100
Of course, that is "twenty-two hundredths" or 0.22.
If you just write the problem using 22/100 for 22%, then you get the proportion ...
22/100 = 77/x
22x = 7700 . . . . . "cross multiply" (multiply by 100x)
x = 7700/22 = 350 . . . . divide by the coefficient of x
__
If you're paying attention, you see that the solution of this kind of equation has the appearance that the denominator variable and the left-side value are simply swapped:
[tex]0.22 = \dfrac{77}{x}\ \leftrightarrow\ x=\dfrac{77}{0.22}[/tex]
Effectively, we have multiplied both sides of the equation on the left by x/0.22. There is a property of equality that lets us do that. There is no such thing as a property of equality that says "swap with denominator." You must always pay attention to what is allowed by the properties of equality.
If a vehicle is going 72 mph, how many feet does the vehicle travel
in one second?
Answer:
simple math convert mph to fps and multiply by 72: 105.6
Step-by-step explanation:
the hypotonuse of a right triangle measures 15cm and one of its legs meauseres 8cm find the measure of the other leg
Answer:
7cm
Step-by-step explanation:
15 - 8
Hypotenuse is the longest side
A line which passes through the point (0,4) has gradient 5.
Write down the equation of the line.
A(0;4); x=0, y=4; m=5
General equation of linear function is [tex]y=mx+b[/tex] ⇒
[tex]4=0\times x+b\\b=4[/tex]
Answer: [tex]y=5x+4[/tex]
Absolute minimum and maximum values of [tex]f(x)=2x^{3}-3x^{2} -12x+1[/tex] on the interval [-2,3]
Step-by-step explanation:
[tex]f'(x)=6x^{2}-6x-12[/tex]
So f'(x)=0:
x^2 - x - 2 = 0
(x-2)(x+1)=0
x=-1, 2
So we need to find the value of f at those critical points and also at the endpoints of the interval
f(-1)=-2-3+12+1=8
f(2)=16-12-24+1=-19
f(-2)=-16-12+24+1=-3
f(3)=54-27-36+1=-8
so the max is 8 and the min is -19
PLS ANSWER AS SOON AS POSSIBLE
Answer:
-(x+8) (x-2) I think this is the answer
Find The Value Of x ?
[tex]1) \sf \large \: log_{3}( \frac{1}{3} ) = x[/tex]
[tex]2) \large\sf log_{3}(x - 1) = 2[/tex]
Thankuhh☃️
Answer:
1) [tex]x = -1[/tex] || 2) [tex]x = 10[/tex]
Explanation:
1)
→ [tex]\log _3\left(\frac{1}{3}\right)=x[/tex]
→ [tex]\frac{1}{3} = 3^x[/tex]
→ [tex]3^{-1} = 3^x[/tex]
→ [tex]x = -1[/tex]
2)
→ [tex]\log _3\left(x-1\right)=2[/tex]
→ [tex]x - 1 = 3^2[/tex]
→ [tex]x -1 = 9[/tex]
→ [tex]x = 9 +1[/tex]
→ [tex]x = 10[/tex]
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution ~
Question 1 :[tex]\qquad \sf \dashrightarrow \: log_{ {3} }( \frac{1}{3} ) = x[/tex]
[tex]\qquad \sf \dashrightarrow \: log_{ {3} }( {3}^{ - 1} ) = x[/tex]
[tex]\qquad \sf \dashrightarrow \: log_{ {3} }( {3})^{ - 1 } = x[/tex]
[tex]\qquad \sf \dashrightarrow \: - 1 \times log_{3}(3) = x[/tex]
[tex]\qquad \sf \dashrightarrow \: - 1 \times 1 = x[/tex]
[tex]\qquad \sf \dashrightarrow \: x = - 1[/tex]
Question 2 :[tex]\qquad \sf \dashrightarrow \: log_{3}(x - 1) = 2[/tex]
[tex]\qquad \sf \dashrightarrow \: x - 1 = {3}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = 9 + 1[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 10[/tex]
In Chelsea's group, there are three boys and six girls. Write a fraction, in simplest form, to represent the amount of boys in the group.
Answer: 3/9 should be the answer :)
Step-by-step explanation:
Express the following sentence in mathematic sentence, dividing 120 by 40 is equal to 3
Answer:
120/40=3
Step-by-step explanation: Hope this helps
Paper clips and sand is a Mixture or Solution?
Answer:
solution
Step-by-step explanation:
you can separate it back into its original forms
(Reminder: mixtures cannot be separated and cannot return to its original forms. solutions can be separated and can return to its original forms)
A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job?
PLS GIVE WORKING OUT
THANKS :)
Answer:
for a three hour job it would be £105
Step-by-step explanation:
to find how much he charges an hour, we divide 140 by 4 and get 35.
from there we multiply 35(£) by 3(hours) and get 105(£).
Solve for p.
-5 = p + 5
p=
Answer:
[tex]p=-10[/tex]
Step-by-step explanation:
Given the following question:
[tex]-5=p+5[/tex]
In order to find the answer, we subtract 5 on both sides:
[tex]-5=p+5[/tex]
[tex]5-5=0[/tex]
[tex]-5-5=-10[/tex]
[tex]-10=p[/tex]
[tex]p=-10[/tex]
Hope this helps.
I need the answer in the next 6 hours
Answer:
180m
Step-by-step explanation:
The figure shown in the picture is a right triangle.
We have two of it's sides and need to find the hypotenuse (the side in front of the right angle).
To find that we must use the Pythagorean theorem:
[tex]c^{2} = {a}^{2} + {b}^{2} [/tex]
Side a is 400m and side b is 300m.
Therefore:
[tex]c^{2} = {300}^{2} + {400}^{2} [/tex]
[tex]c = \sqrt{300 \times 300 + 400 \times 400} = 500[/tex]
Now that we know that side c is 500m we must just substract the distance between Marla and the dock with the lenght of the side to find the answer
500 - 320 = 180m
Answer:
She is 180m from the information Center
She walked 240m from the parking lot to the lake.
Step-by-step explanation:
I searched your question and found the key answers. below is my backup explanation, hope this helps! brainliest, please!
Which of the following is not directly related to the sample size calculations in the case of one sample z testing?
Answer:
here's your answer hope it helps you
Step-by-step explanation:
the upper bound of an interval uses the number of samples to get its value. same is said for the population standard deviation.
I need help please :)
Answer:
[ [tex]10000(2)^{-n}[/tex] ] where n is the number of hours.
Because the beginning will 10000/2 = 50000, then it keeps double the dividing the time.
Let (f)=^2−3 and (g)=5−x^2
(f+g)(7)=
(f−g)(7)=
(fg)(7)=
(f/g)(7)=
Answer:the answer is d
Step-by-step explanation: it a d bc i know
I’m so lost, please help!
Answer:
a = 156°
b = 132°
c = 108°
Step-by-step explanation:
The sum of the exterior angles of a polygon equals 360°. The sum of an interior and exterior angle equals 180°. There are two missing exterior angles that you need to find the measure of so we can find the value of x.
First exterior angle is with the 82° interior angle. Subtract from 180 to find the exterior angle.
180 - 82 = 98°
The second exterior angle is with the 134° interior angle. Subtract from 180 to find the exterior angle.
180 - 134 = 46°
Now add all the exterior angles together and set them equal to 360.
x + 2x + 3x +72 + 98 + 46 = 360
6x + 216 = 360
6x + 216 -216 = 360 -216
6x = 144
6x/6 = 144/6
x = 24
No find the exterior angles then subtract each one from 180°.
To find a.
a + x = 180
a + 24 = 180
a + 24 - 24 = 180 - 24
a = 156°
To find b.
b + 2x = 180
b + 2(24) = 180
b + 48 = 180
b + 48 - 48 = 180 - 48
b = 132°
To find c.
c + 3x = 180
c + 3(24) = 180
c + 72 = 180
c + 72 - 72 = 180 -72
c = 108°
Find the area of the shaded region.
Step-by-step explanation:
total area
20 × 17 = 340cm²
unshaded region
9 × 6 = 54cm²
area of shaded region
340 - 54 = 286cm²
Find the quadratic equation
[tex]9y {}^{2} - 12y - 14 = 0[/tex]
[tex]9y^2-12y-14=0\\D=(-12)^2-4\times9\times(-14)=144+504=648=(\pm18\sqrt{2})^2 \\\\y_1=\dfrac{12+18\sqrt{2} }{18} =\dfrac{2+3\sqrt{2} }{3} \\\\y_2=\dfrac{12-18\sqrt{2} }{18} =\dfrac{2-3\sqrt{2} }{3}[/tex]
Answer:
Solve the equation for y by finding a,b, and c of the quadratic then applying the quadratic formula.
Desimal Form: 2.08088022…,−0.74754689…
the guy on top of me is right I just gave you the desimal form he/she give you the rest
Step-by-step explanation:
Name the property shown 4 (x+6) = 4(x) + 4(6)
Answer:
Distributive property
Step-by-step explanation:
Shows the breakdown of distributing the 4
4(x+6)
4x + 4(6)
Identify fraction 40/40
Answer:
it's a unit fraction by cancelling it
Answer:
Whole fraction
Step-by-step explanation:
40/40
= 1
☆ Since we get 1 as the answer, the fraction is a whole fraction.
Hope it helps ⚜
PLEASE HELP ASAP I WILL GIVE BRAINSLET TO THE CORRECT ANSWER!!!!!!!!!!
Answer:
Therefore has one solution.
explanation:
Given equations:
6x + y = -7
-24x -7y = 25
Make y the subject:
6x + y = -7
y = -7 - 6x ..............equation 1
-24x -7y = 25
-7y = 25 + 24x
y = (25 + 24x)/-7 ..........equation 2
Solve them simultaneously:
(25 + 24x)/-7 = -7 - 6x
25 + 24x = -7 (-7 - 6x)
25 + 24x = 49 + 42x
42x - 24x = 25- 42
18x = -24
x = [tex]-\frac{4}{3}[/tex]
Then y is:
y = -7 - 6x
y = -7 - 6( [tex]-\frac{4}{3}[/tex])
y = 1
Has one separate value of x and y: ( [tex]-\frac{4}{3}[/tex] , 1 ); so it has one solution.
Find the value of x.
to
890
121°
Answer:
32°
Step-by-step explanation:
Let the angle next to 121° be a,
a+121°=180°
a=180-121=59°
Now we have a=59°,
89° (given) and x, these threes form a triangle, therefore,
x+a+89°=180°
×+59°+89°=180°
x+148°=180°
x=180°-148°
x=32°
Help with this geometry problem
Answer:
∠DCA ≅ 56°
Reason: vertical angles theorem
∠DCF ≅ 144°
Reason: Angles on a straight line (DE) add up to 180°
∠ECB ≅ = 37°
Reason: Angles on a straight line (FA) add up to 180°
∠CAB ≅ ∠DCA ≅ 56°
Reason: Alternate interior angles theorem
∠CBA ≅ ∠ECB ≅ 37°
Reason: Alternate interior angles theorem
Step-by-step explanation:
∠DCA ≅ ∠ECF ≅ 56°
Reason: vertical angles theorem
∠DCF ≅ 180 - 56 = 144°
Reason: Angles on a straight line (DE) add up to 180°
∠ECB ≅ 180 - 56 - 87 = 37°
Reason: Angles on a straight line (FA) add up to 180°
∠CAB ≅ ∠DCA ≅ 56°
Reason: Alternate interior angles theorem
∠CBA ≅ ∠ECB ≅ 37°
Reason: Alternate interior angles theorem
If you have a distribution of 100 scores, and you want 20 intervals, what should be the size of your class interval
Answer:
5
Step-by-step explanation:
You simply just divide 100 by 20 and get your answer which is 5.
When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers
A parachutist’s speed during a free fall reaches 165 feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answer.
Answer:
[tex]x=750m[/tex]
Step-by-step explanation:
[tex]Assuming[/tex] [tex]That[/tex]:
[tex]1m=3.3ft[/tex]
We can make the conversion from feet per second to meters per second with this procedure:
[tex](165 \frac{ft}{s} ) (\frac{1m}{3.3ft} )=50\frac{m}{s}[/tex]
Let [tex]x[/tex] be the amount of meters the parachutist will fall during 15 seconds of free fall
Having that in 1 second the parachutist falls 50 meters, we can calculate [tex]x[/tex] :
[tex]x=(50\frac{m}{s} )(15s)[/tex]
[tex]x = 750 m[/tex]
Brainliest?!
Subtract (8b^2+7b+5)-(b+4)
finle answers
Answer:
[tex] {7}^{2} [/tex]
[tex]7[/tex]
equations