Answer:
(c) 3,477.4 cm³
Step-by-step explanation:
The formula for the volume of a sphere is ...
V = 4/3πr³ . . . . where r is the radius
The radius is half the diameter, so is 18.8 cm/2 = 9.4 cm.
Using this value and the value for pi in the formula, we have ...
V = (4/3)(3.14)(9.4 cm)³ = (4/3)(3.14)(830.584 cm³) ≈ 3477.4 cm³
_____
Additional comment
You will do well to learn how to use a formula, and how to use your calculator to evaluate it. It can be useful to keep perimeter, area, and volume formulas handy for the usual plane and solid figures.
Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.
Answer:
I don't think so
Step-by-step explanation:
the length of the newspaper page=36cm
the advert will take 1/3 of the page=1/3*36=12
so the advert takes12 cm and he says it has to be 11 cm which is not right .
I hope this helps
HELP QUICK ILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
a) circumference = diameter*pi
so, pi in circle A =25.12/8=3.14
pi in circle B = 9.42/3 =3.14
b) area of the circle =(diameter/2)^2*pi
so pi in circle A = 50.24/(8/2)^2=3.14
pi in circle B = 3.14
C) both the value of circle A and B are equivalent
HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4
Answer:
Step-by-step explanation:
I'm pretty sure its b
While standing outside Carmen's Computer Store,Phyllis noticed that 14 people left the store and 10 people entered the store. Later, 5 more people entered and 13 people left.What was the net increase or decrease in the number of people in Carmen's Computer Store? A. An increase of 12 / B. decrease of 12 C. an increase of 42 / D . decrease of 42
Answer:
B. decrease of 12
Step-by-step explanation:
Number of people who left the store = 14
Number of people who entered the store = 10
Again,
Number of people who left the store = 13
Number of people who entered the store = 5
Total people who left the store = 14 + 13
= 27 people
Total people who entered the store = 10 + 5
= 15 people
Number of people remaining in the store = Total people who entered the store - Total people who left the store
= 15 - 27
= -12
This means there is a net decrease in the number of people in Carmen's Computer Store
one week gas was 1.25 per gallon the next week gas was 1.50 per GALLON by what percentage did the price increase
Answer:
Therefore, the price increased by 20%
Step-by-step explanation:
Initial price = 1.25
Final price = 1.50
so price increased = 1.50 - 1.25
= 0.25
so,
price increased% = (0.25/1.25) × 100%
= 0.2 × 100%
= 20%
What is the value of x in the equation 5x+3=4x?
Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x,
x + 3 = 0,
x = -3
Answer:
the answer for this would be -3
find the missing side. Round it to the nearest tenth.
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
8 thousands÷10= ?
khan academny questions are confusing when you're doing math in the middle of the night
Step-by-step explanation:
Answer of your question is 800hi pls help. pls explain a bit:) thank you
Answer:
i think this is right i’m sorry if not :)
What is 55 increased by 10%?
Answer:
10% of 55
=> 10/100 × 55
=> 1/10×55
=> 5.5
55 increased by 10% => 55 + 5.5
=> 60.5
hope that helps ✌
Answer:
Step-by-step explanation:
10% of 55
10/100*55
1/10*55
5.5 <--- That is 10% of 55
55+5.5 = 60.5
Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]
[tex]OA=BO(\sqrt{3})[/tex]
By applying tangent rule in the given right triangle BOC,
tan(60°) = [tex]\frac{OC}{BO}[/tex]
OC = BO(√3)
OA + OC = AC
[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = [tex]\frac{OD}{OC}[/tex]
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
Given the following coordinates complete the reflection transformation.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (- 1, - 5 ) → A' (- 1, 5 )
B (2, - 3 ) → B' (2, 3 )
C (3, - 5 ) → C' (3, 5 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (- 1, 5 ) → A'' (1, 5 )
B' (2, 3 ) → B'' (- 2, 3 )
C' (3, 5 ) → C'' ( - 3, 5 )
You are heading to the LLN Casino for Spring Break and plan to play their world famous slot machine. The slot machine at the LLN Casino has three wheels that spin when you pull the lever. When pulled, each wheel spins and stops on one of the symbols. Assume that the outcome of each wheel is independent of the outcomes of the other 2 wheels. Each wheel has 10 equally likely symbols: 4 Skulls, 3 Lemons, 2 Cherries, and 1 Bell.If you play, what is the probability that:You get a Lemon, and a Cherry, and a Bell
Answer:
0.036
Step-by-step explanation:
Number of wheels = 3
Total number of symbols on each wheel = 10
number of skulls = 4
number of Lemons = 3
number of cherries = 2
number of bell = 1
Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent
P(of getting Lemon, cherry and berry ) = 6 * P( lemon , cherry , Bell )
= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )
= 0.036
How much should 5x³+3x²-2x+1 be increased to get 6x² +7
Answer:
-5x³ + 3x³ + 2x + 6
Step-by-step explanation:
if that is truly the complete problem description, then the only possible answer I can think of, that makes any sense :
what do I need to add to 5x³+3x²-2x+1 to get 6x²+7 ?
the answer is
6x²+7 - (5x³+3x²-2x+1) = 6x²+7-5x³-3x²+2x-1 =
= -5x³ + 3x³ + 2x + 6
Can anyone help me with this question
Answer:
60
Step-by-step explanation:
A significant figure means the most important (biggest) number.
As it just wants 1 significant figure, you count 1 to the right and round the 6 up.
Hope this helps :)
solve the inequality 4x ( 4 - x ) > 7
Answer:
First, subtract
7
from each side of the inequality to isolate the
x
term while keeping the inequality balanced:
1
4
x
+
7
−
7
>
0
−
7
1
4
x
+
0
>
−
7
1
4
x
>
−
7
Now, multiply each side of the inequality by
4
to solve for
x
while keeping the inequality balanced:
4
×
1
4
x
>
4
×
−
7
4
4
x
>
−
28
1
x
>
−
28
x
>
−
28
Answer:
1/2 < x < 7/2
Step-by-step explanation:
First, simplify then put everything on one side: 16x -4x^2 -7 > 0
Then use the quadratic formula to factor and find out x.
For a quadratic equation in the form of ax^2 + bx + c = 0, use this formula:
X (1,2) = (-b ± √(b^2 -4ac))/2a
(The X (1,2) part means that there are 2 solutions for x)
In this case, a is -4, b is 16, and c is -7. By using this formula, you get that x=1/2, x=7/2
Urgently need help step by step explanation needed
Answer:
p=8
Step-by-step explanation:
-5log(p+1)+2=-8
-5log(p+1)=-10
log(p+1)=2
p+1=9, p=8
using trig find the missing angle
Answer:
sh ma at me Ej as he be as h
Step-by-step explanation:
c my zzz bb
dbdgj dd d
sin(24) = x/16
x = 6.51
For the function F defined by F(x)=x2−2x+4, find F(|−4|).
A. 8
B. 4
C. 12
D. 28
Answer:
12
Step-by-step explanation:
F(x)=x^2−2x+4
Let x = |-4| = 4
F(|-4|)=4^2−2(4)+4
= 16 -8+4
= 8+4
= 12
The tables show two functions evaluated for the given
values of x.
Which table shows the values of the combined
function determined by dividing g(x) by f(x)?
Х
f(x)
-8
-6
-4
-2
4
6
8
10
8.
O
X
g(x)
f(x)
-4
1
5
4
1
3
-
1
7
Х
g(x)
-8
54
-4
10
4
18
8
70
ܗ | ܗ | ܗܙ ܚܕܐ ܗ
х
4
8
O
g(x)
f(x)
5
-3
-7
-8
-4
4
8
o
х
g(x)
f(x)
-9
-5
3
7
-8
4
O
х
g(x)
f(x)
oi |
4
1
5
1
3
8
1
7
Answer:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]
Step-by-step explanation:
Given
The attached tables of f(x) and g(x)
Required
A new table
For both tables, the x-values are the same.
So, the new table is as follows:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {54/-6} & {10/-2} & {18/6} & {70/10} \ \end{array}[/tex] --- i.e. divide g(x) by f(x) of the same x values
After the division, we have:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]
By taking the quotient between the two functions evaluated in one value of x, we will see that the correct option is the third table (counting from the top).
How to find the correct table?
We want to find the table that correctly represents the quotient of the two functions f(x) and g(x).
To do this, let's find each value of that quotient and see which table contains them.
for x = -8 we have:
f(-8) = -6g(-8) = 54.Then the quotient is:
g(-8)/f(-8) = 54/-6 = -9
There is only one table that contains this value, so only with this, we can conclude that the correct option is the third table (counting from the top).
If you want to learn more about rational functions, you can read:
https://brainly.com/question/1851758
solve for x
5x-10>20 or 5x-10≤ -15
A.-5≤x6
B. -1≤x<6
C. x≤-5or x>6
d. x≤-1 or x>6
Answer:
D
Step-by-step explanation:
For example,
5×7-10>20
5(-3)-10<15
what is the lcm of two numbers if one number is a multiple of the other
If one number is the multiple of another number, then the L.C.M. will be the smaller number (the number whose multiple the other number is).
HELP PLEASE!!!!
Find the length of BC
А.53.74
B.96.95
C.84.79
D26.05
Answer:
D 26, 05
Step-by-step explanation:
(look at picture attached)
-2 (x+5):4
Pliss es para hoy
I don't know how you want it solved but, I am giving u -2 I hope this helps
Select whether each equation has no solution, one solution, or infinitely many solutions. No Solution One Solution Infinitely Many Solutions
7x + 14 = 14 x + 7
5 x + 8 = 8 + 5 x
9x = 9 x + 5 17.
Answer:
Step-by-step explanation:
7x + 14 = 14 x + 7
-7x = -7
x = 1 (one solution)
~~~~~~~~~~~~~~~~~
5 x + 8 = 8 + 5 x
0 =0 (infinite solutions)
~~~~~~~~~~~~~~~~
9x = 9 x + 5 17
0 = 517 (no solution)
PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)
Answer:
The correct answer is - A.(112.86, 127.14)
Step-by-step explanation:
Given:
mean = $120
sd = $17.50
n = 40
Solution:
Confidence interval for a populationcan be express as mean +/- margin of error (E)
degree of freedom = n-1 = 40-1 = 39
confidence level (C) = 99% = 0.01
significance level = 1 - C = 1 - 0.01 = 0.99 = 99%
by margin of error E = t×sd/√n = 2.58*17.50/√40
= 2.58*2.76
= 7.138 or 7.14
then the lower limit of mean = mean - E = 120 - 7.14 = $112.86
and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14
When 3 liters of oil are removed from an upright cylindrical can, the level falls by 10cm. Find the radius of the can
Answer:
9.8 cm
Step-by-step explanation:
Volume of a cylinder can be gotten with this formula
V=πr2h
h = height of the oil.
We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now
h° =( h) - (0.1)
Then the new volume can be calculated as
V°= V - (3×10^-3)
But
volume= (π r2h°)
Then substitute we have
πr2h - 0.003 = π r2 (h-0.1)
If we open the bracket we have
0.003 = (πr2 ×0.1)
πr2=0.003/0.1
Then r=√ (0.03/0.1π)
=9.8 cm
Note that 1L = 10-3 m3
If z is a standard normal variable, find the probability.
The probability that z lies between -1.10 and -0.36.
0.2239
-0.2237
0.2237
0.4951
Answer:
Step-by-step explanation:
We are looking for the probability that (-1.10 < z < -.36)
The z score for -1.10 = .13567 and
the z score for -.36 = .35942
To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%
NEED HELP ASAP
Given the parent functions f(x) = 3x + 2 and g(x) = 5x – 10, what is g(x) – f(x)?
Answer:
2x - 12
Step-by-step explanation:
that is the procedure above
Someone please explain this to me like you would a child
thank you
Answer:
12 degrees
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
okay haha
so basically the cosine of an angle is the side adjacent to it, divided by the hypotenuse. the sine is the side opposite to that angle divided by the hypotenuse, and the tangent is the side opposite to that angle divided by the side adjacent to it.
in this case we are given the angle and the side opposite to it which is 10, and we are also given the hypotenuse of 39.
what trig function deals with opposite and hypotenuse?
the answer is sine
so we would find the sine of that angle which equals to opposite over hypotenuse:
sin(angle) = 10/39
but, they are asking for the inverse trig function. the inverse of sine is arcsin.
so :
arcsin(10/39) = angle
in a calculator, this would be equal to about 14.857 which is closest to 15.
