Answer: 90
Step-by-step explanation:
c = 2πr
r = 15
d = 30
30π = 90
Answer:
C≈90
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=15 thus substitute:
[tex] \displaystyle C = 2\pi .15[/tex]
simplify mutilation:
[tex] \displaystyle C = 30\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 30.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 90[/tex]
and we are done!
Can someone help me with 8,9 ??!!
Answer:
15 / 2437/52Step-by-step explanation:
8 .) Probability of students has no pets in senior = No. of outcomes favourable / Total no.of outcome
= 15 / 24
9.) Probability of students has pets in junior = No.of outcomes favourable / Total no. of outcomes
= 37/52
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
Martin puts two bowls of fruits out for his friends.The bowl of grapes has 9 green grapes and 16 red grapes.The bowl of tangerines has 7 seeded and 3 seedless tangerines.
Martin's friend chooses a random grape and a random tangerine.What is the probability that she chooses a green grape and a seedless tangerine?
Enter the answer in the box below as a fraction.
[tex] \frac{?}{?} [/tex]
Answer:
27/250
Step-by-step explanation:
Green grape is 9/25
seedless is 3/10
Since it’s a compound probability you multiple them to get 27/250
Answer:
27/250
Step-by-step explanation:
Evaluate this piecewise function at x = -8 and x = 4.
Answer:
option D :
f(-8) = -2 ; f(4) = 3
Step-by-step explanation:
f(-8) = ³√-8 = -2
f(4) = 3 (the constant function)
Pls help me this is for my final text and I’m struggling really bad!!!
What is the factored form of y=-2x^2-8x+0
Answer:
(2x-4()(x-2)
Step-by-step explanation:
this is how it looks when factorised
Answer:
y=-2x^2-8x
you can use a factor form helper and from that it can show you examples on how to solve it
What is the vertical asymptotes of 4x^7+3x+11/5x-10
Answer:
x = 2
Step-by-step explanation:
The denominator of the rational function cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
5x - 10 = 0 ⇒ 5x = 10 ⇒ x = 2 ← excluded value
Thus x = 2 is the vertical asymptote
as central angle is to 360 degrees.Arc length is to
A.circumference
B.area
C.sector
D. Diameter
If central angle is 360° then Arc length is circumference.
What is the central angle of a Circle?
An angle with the circle's center as its vertex is referred to as a central angle. The radius refers to each side of the angle that extends outward from the center to a particular point on the circle.
What is circumference?A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.
How to solve it?Since, when considering the circle's central angle we consider 360° which is the central angle of the whole circle.
So, when considering the arc length of a sector, we consider the arc length of the whole circle which is the circumference.
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Pls help again thanks
Answer:
d.156.
x+24=180 ( being staright angle)
English
v
Which table represents a linear function?
2
y
х
y
22
y
22
y
1
0
0
0
0
ol
1
هدايا
2
1
1
1
1
1
3
이
4
2
3
2
0
2
ا م ا
3
8
3.
6
3
1
3
7
Answer:
2 y x
Step-by-step explanation:
Kim is 3 years older than marley. The sum of marleys age and twice Kims age is 63. Which equations can be used to determine marleys age?
Step-by-step explanation:
the answer is in the above image
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math. No guessing please.
Julio takes a multivitamin and a calcium vitamin every day.One at a time,he randomly pulled 8 cherry, 5 grape,and 7 orange gummy vitamins out of the multivitamin container and put them back each time.He also randomly pulled 11 berry,3 lemon,and 6 pineapple gummy vitamins out of the calcium container and put them back each time.
Based on this information, what is the probability that Julio will select an orange multivitamin and a lemon calcium vitamin the next time he takes his vitamins?
Enter your answer in the box below as a fraction.
======================================================
Work Shown:
A = probability of pulling out a orange multivitamin
A = (7 orange)/(8 cherry + 5 grape + 7 orange)
A = 7/(8+5+7)
A = 7/20
B = probability of pulling out a lemon calcium vitamin
B = (3 lemon)/(11 berry + 3 lemon + 6 pineapple)
B = 3/(11+3+6)
B = 3/20
A*B = probability both events A and B occur simultaneously
A*B = (7/20)*(3/20)
A*B = (7*3)/(20*20)
A*B = 21/400
Find the remainder when x³ - ax² + 6x - a is divided by x - a
Answer:
Solution is on pic hope it helps youPLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEE
solve for x in each of the triangles below.
Answer:
x=89
×=60
cab=180
cba=180
PLEASE HELP!!
WILL MARK BRAINLIEST!
What is the measure of arc AB?
Answer:
arc AB = 45°
Step-by-step explanation:
The central angle ABC is equal to the measure of the arc that subtends it, so
AB = ∠ ABC = 45°
Prove that the following formulas are constants by two methods (set table and equivalent transformations) :
1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))
The following two way table describes students after school activities find the probability that a randomly selected student is in music/drama
Using it's concept, it is found that the probability that a randomly selected student is in music/drama is:
P(Music/Drama) = 0.25.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, the number of students is given by:
N = 20 + 7 + 3 + 20 + 13 + 2 + 25 + 5 + 5 = 100.
Of those, the number involved in music/drama is:
D = 7 + 13 + 5 = 25.
Hence the probability is given by:
p = 25/100 = 0.25.
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Which of the following are interior angles in the figure below?
Answer:
A
Step-by-step explanation:
The others are exterior
PLEASE HELP, I HAVE ONE WEEK OF SCHOOL!
9514 1404 393
Answer:
2. (b) 6 feet by 18 feet
3. -5, -1
Step-by-step explanation:
2. Perhaps the easiest way to answer this is to check to see what the areas are of the offered choices:
a) 7·19 = 133 . . . . numbers are odd, so the answer is odd, incorrect
b) 6·18 = 108 . . . . correct choice
c) 12·24 = 288
d) 5·17 = 85 . . . . again an odd number
__
If you were to solve this by factoring, you would be looking for factors of 108 that have a difference of 12.
108 = 1·108 = 2·54 = 3·36 = 4·27 = 6·18 = 9·12
The differences are 107, 52, 33, 23, 12, 3. The dimensions you want are 6 and 18 feet.
_____
3. Completing the square is easier if the quadratic has a leading coefficient of 1. Here, all of the coefficients are divisible by 2, so we can simplify this to ...
x^2 +6x = -5 . . . . . . divide both sides by 2
Now, we complete the square by adding the square of half the linear term coefficient.
x^2 +6x +9 = 4 . . . . add (6/2)^2 = 9 to both sides
(x +3)^2 = 4 . . . . . write as a square
x +3 = ±2 . . . . . . . take the square root
x = -3 ±2 = -5, -1 . . . . add -3 to both sides
The solutions are -5 and -1.
Please help. Confused on this questions.
Answer:
Step-by-step explanation:
The key here is to find out how long it will take Justin to triple his money, and then use that number of years in Hailey's equation. If Justin starts with $940, he will triple his money when he has $2820 (940*3). We need to find out how long it takes him to do this using the equation
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex]where A(t) is the tripled amount of money, P is the initial investment, r is the interest rate in decimal form, n is the number of compoundings done per year, and t is the time in years. Filling in and solving for t:
[tex]2820=940(1+\frac{.07625}{12})^{12t[/tex] which simplifies a bit to
[tex]2820=940(1+.0063541667)^{12t[/tex] and a bit more to
[tex]2820=940(1.0063541667)^{12t[/tex] Begin to solve for t by dividing both sides by 940 to get:
[tex]3=(1.0063541667)^{12t[/tex] and then take the natural log of both sides to get the t alone eventually. Taking the natural log on the right side enables us to move the 12t down in front. So doing all of that at the same time:
[tex]ln3=12tln1.0063541667[/tex] and divide both sides by ln(1.0063541667):
[tex]173.4450855=12t[/tex] then finally divide both sides by 12 to get
t = 14.5 years. Now we use that number of years to find out how much Hailey will have.
[tex]A(t)=940(1+\frac{.0825}{4})^{(4)(14.5)}[/tex] which simplifies a bit to
[tex]A(t)=940(1+.020625)^{58[/tex] and a bit more to
[tex]A(t)=940(1.020625)^{58[/tex] and
A(t) = 940(3.26768151) so in 14.5 years, Hailey will have
A(t) = $3071.62
A hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent. The balloon descends at a rate of 4.5 meters per minute. Explain how you would set up an equation to model when the balloon will reach an altitude of 75 meters above the ground. Then solve the equation and check your solution.
Answer:
120 - 4.5t= 75
t = 10 minutes
Step-by-step explanation:
the equation :
120 - 4.5t= 75
the solution:
-4.5 t = 75-120
-4.5t = -45
t = -45/(-4.5) = 10 minutes
The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
Given that, a hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The balloon will reach an altitude of 75 meters above the ground.
Now, 120-75 =45 meters
Let t be the time to descends 45 meters
So, 120 - 4.5t= 75
⇒ -4.5 t = 75-120
⇒ -4.5t = -45
⇒ t = -45/(-4.5)
⇒ t = 10 minutes
Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
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Differentiate 5^x in respect to x
Given:
The term is [tex]5^x[/tex].
To find:
The differentiation of [tex]5^x[/tex] with respect to x.
Solution:
Formula used:
[tex]\dfrac{d}{dx}a^x=a^x\log(a)[/tex]
Let the given function is:
[tex]f(x)=5^x[/tex]
Here, a=5.
Differentiate the given function with respect to x.
[tex]f'(x)=5^x\log(5)[/tex]
Therefore, the derivative of [tex]5^x[/tex] with respect to x is [tex]5^x\log(5)[/tex].
3. Calculate the following- show all working out
a)7/8 of R60,00
Answer:
5250
Step-by-step explanation:
a. 7/8 of 60,00
a [tex]\frac{7}{8} * 60,00[/tex]
[tex]\frac{7*60,00}{8}[/tex]
[tex]\frac{42,000}{8}[/tex]
[tex]5250[/tex]
Help!!!
I will mark you
Answer:
832.6lbs
Step-by-step explanation:
Evaluate the variable expression when a = -2, b = 5, C = -5, and d = 3.
-4b + 1 (ac + bd)
5
5
Answer:
-4(5)+1(-2*-5+5*3)
Step-by-step explanation:
-20+1(10+15)
-19(25)
-475
Answer:
5
Step-by-step explanation:
Given :- a = -2 , b = 5 , c = -5 & d = 3
Solution :-
- 4 b + 1 ( ac + bd )- 4 ( 5 ) + 1 ( (-2)(-5) + (5)(3))-20 + -2 × -5 + 3 × 5-20 + 10 + 15- 20 + 255a recent study showed that the average high school basketball team score 76 points a game with a standard deviation of 8.4 points. Find the probability that a random team scores less than 64 points
Answer: 0.0766
Step-by-step explanation:
Let x be the random team scores.
Given: Mean = 76
Standard deviation = 8.4
We assume that x follows normal distribution.
The probability that a random team scores less than 64 points = P(x<60)
[tex]=P(\frac{x-\mu}{\sigma}<\frac{64-76}{8.4})\\\\=P(z<-1.4286) \ \ \ [Z=\frac{x-\mu}{\sigma}]\\\\= 1-P(z<1.4286)\\\\=1-0.9234\\\\=0.0766[/tex]
Hence, the probability that a random team scores less than 64 points =0.0766
Find the surface area and volume of a rectangular prim with the following dimensions: Length = 2 in , Width= 6 in Height 2 in
Answer:
Step-by-step explanation:
Volume= L×W×H
V = 2×6×2
V=24
Answer:
2x6 then 12x2 LxWxH good
pls help it'd be appreciated
Answer:
option A
Step-by-step explanation:
∠WPS +∠OPW = 180 {straight line}
∠WPS +110 = 180
∠WPS = 180 - 110
∠WPS = 70°
∠RWQ + ∠QWT +∠TWU = 180 {straight line}
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
∠RWQ= 70°
∠PWU + ∠USP + ∠ WPS = 180 {angle sum property of triangle}
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
∠PWU = 70°
Answer:
A
Step-by-step explanation:
∠WPS +∠OPW = 180 (adj angles on a str line)
∠WPS +110 = 180
∠WPS = 180 - 110
= 70°
∠RWQ + ∠QWT +∠TWU = 180 (adj angles on a str line)
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
= 70°
∠PWU + ∠USP + ∠ WPS = 180 (adj angles on a str line)
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
= 70°
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 3x - 10 = 0
Answer:
C and E
Step-by-step explanation:
Factor it so you get
(x-2)(x+5)=0
Then find x
x=-5
x=2
5 and 2 are the solutions of quadratic equation which answer are option C and E.
What is quadratic equation?The quadratic equation is defined as an equation conataining the highest power of a variable is two.
The quadratic equation
x² + 3x - 10 = 0
x² + 5x - 2x - 10 = 0
x(x+5)-2(x+5)
(x-2)(x+5)=0
x = -5, x = 2
Hence, 5 and 2 are the solutions of quadratic equation.
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In analyzing a line graph, why is slope important?
a The slope should be negative,
C. The spacing for each axis must be chosen
so that the line reflects a positive slope,
b. The slope of the line reflects the actual d. The slope of a line is not important in
trend of the data,
analyzing a line graph,
Please select the best answer from the choices provided
B
O O O O
С
D
Mark this and retum
Save and Exit
Next
Submit
Answer:
The slope of the line reflects the actual d.
If f (x) = -2x² + x – 5, what is f (3)
Answer:
f(3)=-2(3)^2+3-5=16
Step-by-step explanation:
You just plug 3 in for x
Answer:
[tex]f(x) = - 2 {x}^{2} + x - 5 \\ f(3) = - 2 {(3)}^{2} + 3 - 5 \\ f(3) = - 20[/tex]