The area of a cross section through the center of a sphere is 46 square inches. Find the surface area of the sphere.
Answer:
184 in.^2
Step-by-step explanation:
The cross section through the center of a sphere is a circle whose radius is equal to the radius of the sphere.
area of circle
[tex]A_{circle} = \pi r^2[/tex]
[tex] \pi r^2 = 46 [/tex]
[tex] r^2 = \dfrac{46}{\pi} [/tex]
[tex] r = \sqrt{\dfrac{46}{\pi}} [/tex]
[tex] r = 3.83 ~in.[/tex]
surface area of sphere
[tex] SA = 4 \pi r^2 [/tex]
[tex] SA = 4 \times \pi \times (3.83)^2 [/tex]
[tex] SA = 184~in.^2 [/tex]
Evaluate c - 2 when c = 7.
Stuck? Watch a video or use a hint.
What is my final answer
Answer:
5
Step-by-step explanation:
Subtract 7-2=5.
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company . Suppose for each ToughPix1 there is a chance that it will need to be replaced exactly once, a chance that it will need to be replaced exactly twice, and a chance that it will not need to be replaced.
Answer:
a chance that it will not need to be replaced
Step-by-step explanation:
Which is the value of the rational expression 6-x/x+5 when x=2
Answer:
4/7
Step-by-step explanation:
6-x/x+5 let us take x=2
6-2/2+5=4/7
-42 < j(7)
Solving one step inequalities
Step-by-step explanation:
step 1. -42 < 7j
step 2. j > -6 (divide both sides by 7)
step 3. notice that I also put the variable first.
The graph of an exponential function passes through (1, 10) and (4, 80). Find the function that describes the graph.
Answer:
y = 5*2ˣStep-by-step explanation:
Exponential function:
y = abˣOrdered pairs given:
(1, 10) and (4, 80)Substitute x and y values to get below system:
10 = ab80 = ab⁴Divide the second equation by the first one and solve for b:
80/10 = b³b³ = 8b = ∛8b = 2Use the first equation and find the value of a:
10 = a*2a = 5The function is:
y = 5*2ˣAnswer:
[tex]y=5 \cdot 2^x[/tex]
Step-by-step explanation:
An exponential function is written in the form:
[tex]y=ab^x[/tex]We can use the given points that the exponential function passes through to solve for a and b.
Create a system of equations by substituting (1, 10) and (4, 80) into the exponential form of a function.
[tex]\text{I}:\ 10=ab^1[/tex] [tex]\text{II}: \ 8 0=ab^4[/tex]Divide Equation I by Equation II in order to cancel out variable a.
[tex]\displaystyle \frac{80=ab^4}{10=ab}[/tex][tex]8=b^3[/tex][tex]b=2[/tex]Now we can solve for a by substituting b back into either equation from the system of equations.
[tex]10=ab[/tex] [tex]10=a(2)[/tex] [tex]a=5[/tex]Substitute 5 for a and 2 for b into the form of an exponential function to find the exponential function that passes through (1, 10) and (4, 80).
[tex]y=5 \cdot 2^x[/tex]y = 5 · 2ˣ is the exponential function that describes the graph.
Question 16
If n = 6, what is the value of 9n – 4?
Α.
11
B.
50
С
52
D
54
Answer is Option B) 50
9(6)-4
54-4
50
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
a
Step-by-step explanation:
the answer is a
diagram this statement.Then answer the questions that follow.
Joseph gave three fourths of his 288 sports cards to his brother.
A) what percent of his sports cards did his Joseph give to his brother?
B)How manny sports cards did Joseph have left?
Someone please help!! Please explain will mark brainliest
Use the commutative property to write an expression equivalent to -5d + 1/2.
Answer:
1/2 + -5d
Step-by-step explanation:
George, Arianna, and Carlos are going to mow the baseball field with push
mowers. By themselves, George can mow the field in 5 hours, Arianna
can mow the field in 6 hours, and Carlos can mow the field in 3 hours. If
the game is in 2 hours, can they get the field mowed in time?
Answer: Yes, they will have it mowed in 1 hour and 18 minutes
Step-by-step explanation:
is 2/6 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
good luck, i hope this helps :)
BRAINLIEST WILL GIVE
Answer:
Commutative
Step-by-step explanation:
because both sides contain 4.3 + g in any order.
Answer:
this is commutative Property of Addition because they are showing that even when you change the order, the sum will equal the same amount.
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️
there are 12 boys than girls in a class of 60 find the number of boys and girls
Answer:
boys : 36
girls : 24
Step-by-step explanation:
60 - 12 = 48
48 ÷ 2 = 24 (girls)
24 + 12 = 36 (boys)
10 POINTS
please help lol
Answer:
Explanation below:
Step-by-step explanation:
To solve this problem you have to look at the three measurements (base x length x height), which are 7in, 3in, and 5in. For the top of the rectangular prism, the surface area is 21in (7in x 3in) and since the bottom is the same, the bottom is also 21in. Now that you have the top and bottom, let's look at the sides. The surface area for the long-sides is 35in (7in x 5in) and since both sides are the same, they are both 35. The surface area for the ends of the rectangular prism is 15in (5in x 3in) and since they are both the same, they are both 15in. Now that you have figured out what measurement goes with what, add all them up. (21in +21in) = 42in | (35in +35in) = 70in | (15in + 15in) = 30in
42in + (70in + 30in)
42in + 100in
The surface area for the entire shape is 142 inches.
what is the answer for the for this equasion
x=5x6
Answer:
x=30 should be the answer
Answer:
x=30
Step-by-step explanation:
x=5×6
Multiply 5 and 6 to get 30.
x=30
Write a two-step inequality that could be represented by the number line.
Answer:
0
Step-by-step explanation:
Help solve for X. I will give brainliest to the best answer!!! PLEASEEEE
Answer:
8
Step-by-step explanation:
So first do 104+76+104=284
Now form the equation 10x-4+284=360
It is 360 because this is a quadrilateral.
Now combine like terms.
10x+280=360
10x=80
x=8
Check 80-4=76
The other angle is 76 so you know your answer is correct
On the maturity date of a $6,600, 9-month, 12% note, the borrower sends a check that includes the principal and all of the interest due on the note. What is the amount of the borrower’s check?
Answer:
$7194
Step-by-step explanation:
Given the following
Principal = $6600
Time = 9months = 9/12 year
Rate R = 12%
Interest = PRT/100
Interest = 6600*9/12 * 12/100
Interest = 66*9
Interest = $594
Amount on the borrowers check = principal + interest
Amount on the borrowers check = 6600 + 594
Amount on the borrowers check = $7194
An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redville directly
Answer:
230
Step-by-step explanation:
Mrs. Melanie Lazo pays Php 15.75 for each hair clip to its supplier. She decided to adds markup of Php 3.15. What is the markup rate?
Answer:
the answer to the problem is 20.8%
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=7900(1.05)^x
Answer:
5% increase
Step-by-step explanation:
The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given value:
[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]
For point a:
Moment generating function of X=?
Using formula:
[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]
[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]
integrating the values by parts:
[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]
[tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]
Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]
In point b:
[tex]E(X^n)=?[/tex]
Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]
form point (a):
[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]
Differentiating the value with respect of t
[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]
when [tex]t=0[/tex]
[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]
[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]
Need help on this please any one
Answer:
[tex] \sqrt{29} [/tex]
Lori wants to buy the same number of pencils and pens for school this year. Pencils comes in packs of 16, and pens come in packs of 4. What is the least number of packs of each she could buy? 8103 4 packs of pencils and 1 pack of pens 1 pack of pencils and 4 packs of pens the 1 pack of pencils and 1 pack of pens 4 packs of pencils and 4 packs of pens SUBMIT
Answer:
pencils=16
pen= 4ijsjh
Bugz
hheh7twh556
US 3ju7hutwbh67s
Nigeria is a bad country my name
is Hanna and I am from the USA
I am from Arizona
juhusjyrs hfah its
In ΔKLM, the measure of ∠M=90°, the measure of ∠K=68°, and MK = 42 feet. Find the length of LM to the nearest tenth of a foot.
Answer:
x=103.9536≈104 feet
Step-by-step explanation:
3x^3-5x^2-5x-1=0
Zero of polynomials
Answer:
Step-by-step explanation:
Wuh
For problems 4-9 find the circumference.
Please Help! :)
y = x times what
Answer:
Step-by-step explanation:
-8/32 = -1/4
The equation is : y = -1/4 x
Now they say, x = 28 so substitute x as 28 and solve
for when y = -5, substitute -5 as y and solve
Do this for all