Answer:
[tex]4.99\times 10^{-10}\ m[/tex]
Step-by-step explanation:
Given that,
The diameter of a proton is 1.7 x 10⁻¹⁵ meters
The diameter of an atom is 5 x 10⁻¹⁰ meters.
We need to find the difference in the diameters.
[tex]D=5\cdot10^{-10}-1.7\cdot10^{-15}\\\\=4.99\times 10^{-10}\ m[/tex]
So, the difference in the diameter is [tex]4.99\times 10^{-10}\ m[/tex].
Annie is participating in a winner-take-all World Series of Poker tournament that costs 101010 thousand dollars to enter. The prize for winning the tournament is 500500500 thousand dollars. Annie estimates that there is a 0.5 \%0.5%0, point, 5, percent chance that she will win the tournament. Find the expected value of entering the tournament for Annie.
Answer: −7.5 thousand dollars
Step-by-step explanation: Khan Academy
Using the expected value formulae, the expected value of Annie entering the tournament is -$7950
Creating a probability distribution table :
Net amount won = (500 - 100) = 400 thousand
Amount lost = 100 thousand
X ___ : - 10,000 ____ 400,000
P(X) _ : __ 0.995 _______ 0.005
Using the expected value formulae:
E(X) = Σ[X × P(X)]E(X) = (0.995 × - 10,000) + (0.005 × 400,000)
E(X) = - 9950 + 2000
E(X) = -7950
Hence, the expected value of entering the tournament is -$7950
Learn more : https://brainly.com/question/19236072
Joanne hit a ball straight up into the air. The height of the ball in meters, is given by the function h(t)= -5(t-3)^2+45 t seconds after the ball is hit. What is the maximum height the ball will reach
9514 1404 393
Answer:
45 meters
Step-by-step explanation:
The equation is given in vertex form:
h(t) = a(t -b)^2 +c
where (b, c) is the vertex (maximum).
The values of the parameters are ...
a = -5, b = 3, c = 45
Then the maximum height is (time, height) = (3, 45).
The maximum height of the ball is 45 meters.
For the function f(x)
Find f(4)
Answer:
12
Step-by-step explanation:
f(x) = 3x
f(4) = 3(4) = 12
just need to sub in the x value :)
Topic: Functions
If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
Answer:
12
Step-by-step explanation:
3x x=4
4x3=12
..
.
.
.
.
.
Solve for the value of s.
58
(s-4)
Answer:
Step-by-step explanation:
58(s-4)=0
58s-232=0
58s=232
S =232/58
S=4
Value of a is 4.
Evaluate each value expression for the given value of x : 4x/3, x=9
FAST PLSSS!!!!!!!!!!!!!
Answer:
5x
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
For Emily’s birthday, her father treated her and five friends to a dinner at a restaurant at the mall. Emily and her friends ordered three pizza dinners at $6.25 each and three chicken baskets at $7.50 each. All six people ordered soft drinks costing $1.25 each. The sales tax on the meal was 4.5%, and the tip was 15%. What was the total cost of the meal, including the sales tax and the tip?
Answer:
58.25
Step-by-step explanation:
C is the total cost of the meal, fifty-eight dollars and twenty-five cents.
First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.
To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.
Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.
Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.
Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.
Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.
Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.
Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.
And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.
Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.
Answer: 56.25
Step-by-step explanation:
Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?
Answer pls idk get it pls
Answer:
$72 is your answer
Step-by-step explanation:
hope this helps ♡
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.
Answer:
1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down
A student traded four pieces of chocolate pour seven pieces of hard candy at this rate how many pieces of chocolate could be treated for 35 pieces of hard candy
Answer: 20 pieces of chocolate could be treated for 35 pieces of hard candy.
Step-by-step explanation:
Equation of direct proportion between two quantities x and y :
[tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Put [tex]x_1=4,\ y_1=7,\ y_2=35, x_2=x[/tex]
[tex]\dfrac{4}{7}=\dfrac{x}{35}\\\\\Rightarrow\ x=\dfrac{35\times4}{7}\\\\\Rightarrow\ x=20[/tex]
Hence, 20 pieces of chocolate could be treated for 35 pieces of hard candy.
Masha’s grandmother lives 250 miles away. How many hours will it take the family to reach grandmother’s house if they are driving at an average speed of 50 miles per hour?
What is the value of x?
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
how to graph y=-4x+2
Can someone help me with this last one please
Need help will mark brainliest
Answer:
64
Step-by-step explanation:
180-52/2=128/2=64
Pls help will give brainliest and be very detailed. What is 11+9
Answer:
20
Step-by-step explanation:
11+9=20 :)
Answer:
ok so 9+11 is 20. you start with 11 and add 9 to it using your fingers if needed:
11,12,13,14,15,16,17,18,19,20
Step-by-step explanation:
Can anyone help me please?
1. 40,60,80
2.48,35,23.7
Solve for s.
S + 3s - 4 = 16
S =
Submit
what is 99,765 divided by 5?
Answer:
It is 19,953. Your welcome
Answer:
99,765/5= 19953 :)
Step-by-step explanation:
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 m to 20 m
HELP ME ILL MARK YOU !!
Answer:
3/5
Step-by-step explanation:
Quadratic – vertical compression by a factor of 1/3, vertical shift up 5 units
Answer:
Step-by-step explanation:
I used a site it won't let me mention... for this graph
This is if "vertical compression by a factor of 1/3, vertical shift up 5 units" translates to...
[tex]f(x)=\frac{1}{3} (x^2+5)[/tex]
The equation that has vertical compression by a factor of 1/3, vertical shift up 5 units will be y = (1/3)x² + 5.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The vertical compression by a factor of 1/3, vertical shift up 5 units.
a = 3
(h, k) = (0, 5)
Then the equation will be
y = 1/3(x – 0)² + 5
y = (1/3)x² + 5
More about the parabola link is given below.
https://brainly.com/question/8495504
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Find m∠BOC in the figure if m∠AOC = 77°.
Question 18 options:
A)
71°
B)
18°
C)
65°
D)
59°
Answer:
Answer of this is... D... 59
According to the figure the value of ∠BOC is 59. So, the correct option is option D.
Given:
∠AOC = 77°
According to the figure ∠AOB = 3X and ∠BOC = 7X + 17
∠AOC = ∠AOB + ∠BOC.
Plugging the values in this equation.
Then we get,
77 = 3X + 7X + 17
Subtract 17 on both sides.
77 - 17 = 3X + 7X + 17 - 17
60 = 3X + 7X
After simplify we get,
60 = 10x.
X = 6
To find the ∠BOC.
∠BOC = 7X + 17.
Plugging the value of X in this equation.
∠BOC = 7 * 6 + 17
∠BOC = 42 + 17
∠BOC = 59.
Therefore, the value of ∠BOC is 59.
Learn more about Angle here:
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How do you prove 2 lines are congruent
Answer:If they have the same length or if their parallel but that’s not always the case.
Step-by-step explanation:
Answer:
If the two lines have the same length and width.
Step-by-step explanation:
Correct me if I am wrong but I am pretty confident that it is the answer by going from logic.
camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
Answer:
59 years and younger
Step-by-step explanation:
-6 < -2h + 14 solve for h
Answer:
10 is more than h
Step-by-step explanation:
sub 14 add to 6 divid by two switch signs and poof
Answer:
10>h
Step-by-step explanation:
-6< -2h+14
-6-14<-2h
-20<-2h
-2 <-2 when you divide by a negative number you must reverse the
10>h inequality sign
write an expression equivalent to 2a + (3/4a + 1/5b) by combining like terms
Answer: 2 3/4 a + 1/5 b
Step-by-step explanation:
Add the like terms
The solution of the given expression is equal to 7a/4 + b / 5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 2a + (3/4a + 1/5b). The given expression will be solved as below,
E = 2a + (3/4a + 1/5b)
E = 2a + (3/4)a + (1/5)b
E = 7a/4 + b / 5
Therefore, the solution of the given expression is equal to 7a/4 + b / 5.
To know more about expression follow
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To convert 1880 kL to L, move the decimal point _____ places to the _____.
Answer:
4567
Step-by-step explanation:
sdjfgkh
Answer:
1880000
Step-by-step explanation:
1880 * 1000 = 1880000
use the graph below to determine how many cakes mary sells after 4 hours
Answer:
8
Step-by-step explanation:
follow the graph
Answer:
D. 8
Step-by-step explanation:
Look for 4 the x axis and go up until you see the dot. Whatever is on the y-axis is your answer(8)
Please help :)Please help :)Please help :)
Answer:
the first one is correct
Step-by-step explanation:
Please help ASAP with one or the rest pleasee I’ll l mark you as brainlister
Answer:
SEE BELOW
Step-by-step explanation:
By mid point theorem:
1)
[tex] MO = 2\times CD\\\\
MO = 2\times 4\\\\
\huge\red {\boxed {MO = 8\: cm}} \\\\[/tex]
2)
[tex] NO = 2\times CE\\\\
NO = 2\times 8\\\\
\huge\purple {\boxed {NO = 16\: cm}} \\\\[/tex]
3)
[tex] MN= 2\times DE\\\\
MN = 2\times 7\\\\
\huge\purple {\boxed {MN = 14\: cm}} \\\\[/tex]
4)
[tex] 2(3x +1) = 20\\\\
3x + 1= \frac {20}{2}\\\\
3x + 1 = 10\\\\
3x = 10-1\\\\
3x = 9\\\\
x = \frac{9}{3} \\\\
x = 3\: units[/tex]
C. Solve for each quotient:
8÷5/8
I Mark brainlies
Answer:
12.8
Step-by-step explanation:
8÷5/8 is also the same as:
8 x 1/5 x 8
Proof: