Answer:
38300000 can be written as 3.83 x 10⁷
Answer:
3.83 x [tex]10^{7}[/tex]
Step-by-step explanation:
38300000/ [tex]10^{7}[/tex] = 3.83
dr. orchid has 9 paintings she wants to hang side by side on her wall. (a) in how many ways can she arrange all 9 paintings? show your work. (b) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? show your work.
She can arrange the 9 paintings in 362,880 different ways, and she can select 126 different combinations of 4.
In how many ways can she display the 9 paintings?For the first position, she has 9 options.For the second position, she has 8 options (one is already taken).
And so on for the rest of the positions.
The total number of different combinations is equal to the product between the numbers of options:
C = 9*8*7*6*5*4*3*2*1 = 9! = 362,880
b) This will be given by the combinations of 4 out of 9, or:
C(9, 4), where:
[tex]C(9, 4) = \frac{9!}{(9 - 4)!*4!} = \frac{9*8*7*6}{4*3*2*1} = 126[/tex]
She can select 126 different combinations of 4 paintings.
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Tess owns a fudge shop in town. She made 3 pounds of fudge and cut it up into 12 equal-sized squares. Tess sells fudge for $2 per pound. A customer bought 5 squares of fudge. How much money did the customer spend?
the customer spent $13 if it's not 13 it's the closest answer too 13
Answer:
$0.85, or 85 cents.
Step-by-step explanation:
To find this, we first need to find out how much it costs for one square. We know it is $2 per pound, and there are twelve squares in each pound. So to find out how much one square costs, we need to divide $2 by 12. We get an answer that is never-ending when we solve this, so we will round to the hundredths place since we are working with money. What we get as a result is that one square costs $0.17.
Now we multiply the above number by five to find out how much the customer spent. This comes out to be $0.85. In total, the customer spent 85 cents for all five squares of the fudge.
For the diagram at right, write and solve an equation to find x
Answer:
x = 24
Step-by-step explanation:
The formula for determining the sum of interior angles is:
[tex](n-2) * 180[/tex]
[tex]4 * 180 = 720[/tex]
Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.
[tex](2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24[/tex]
The equation and answer above shows how to find x, which equals 24.
PLEASE HELP!!!! 20 POINTSSSS!!!!!!!!!!
I WOULD MARK BRAINLIEST!!!!!!!!!!!!!!
Answer:
a=b sinα
sinβ=5·sin(22°)
sin(119°)≈2.14154
a=b sinα
sinβ=12·sin(48°)
sin(42°)≈13.32735
Step-by-step explanation:
I think this is correct but i am most likely wrong, Im not that great at math
Answer:
( SOLVE FOR h )
Step-by-step explanation:
THE FORMULA:
a = b [tex]\frac{sin A}{sin B}[/tex]
---------
b = 12
sin a = 48
sin B = 42
--------
12 × [tex]\frac{sin 48}{sin 42}[/tex]
ANSWER =
h = 13.33
----------------------------------------
SOLVE FOR x AND y
I'M NOT SURE.......
x = 2.14
b = 5
how to copy and paste
Answer:
control + C then Control + V
Step-by-step explanation:
Answer:
If you have a PC, press Windows, Print Screen.
Step-by-step explanation:
Hope this helps..
the pizza order changed to a 14-inch pizza from a ten-inch pizza. Approximately how much did the area change after the change in diameter?
a. 4 square inches
b. 24 square inches
c. 25 square inches
d. 96 square inches
B.)
Step-by-step explanation:
area of a 10 inch pizza: A=pi * r^2 = 25 pi
area of a 14 inch pizza : A= 49 pi
the change : 49pi - 25pi = 24 pi or about 75.39822
Four eggs are required to make two duzzen muffins. how many eggs are needed to make 5 dozen muffins
Answer:
20 eggs
Step-by-step explanation:
4 = 24 muffins
4*5 = 20
20 = 60 muffins
Good Luck!
3. What is the angle of rotation for the following figure?
45°
60°
90°
120°
Answer:
45°
360÷8= 45
Mark me brainliest.
Find the nth term of this number sequence
2, 4, 6, 8, ...
Answer:
As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:
1st term: 2 = 2(1)
2nd term: 4 = 2(2)
3rd term: 6 = 2(3)
4th term: 8 = 2(4)
Additional terms:
5th term: 10 = 2(5)
6th term: 12 = 2(6)
7th term: 14 = 2(7)
8th term: 16 = 2(8)
Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.
Notice that we add 2 to each term in order to get to the next term.
Since we use addition, we have an arithmetic sequence.
Hence, the nth term is:-
n+2
Hope it helps!
Any queries - comment !
if a certain number is added to the denominator of the fraction 3/5 and 7 is added to the numerator, the result is a fraction that will reduce to 1/2. what number is added to the denominator? let x = the number added to the denominator
Answer:
X=15
Step-by-step explanation:
First add 7 to the 3(numerator)=10. Since anything equivalent to half is half of the denominator, the denominator needs to be 20. 20-5=15. So, X=15
Answer:
Step-by-step explanation: X=15
probabiltity of 8 and 23
Answer:
huh
Step-by-step explanation:
find the solution of this system of equation
-x-4y=-37 "-2x-5y=-53"
Answer:
(x, y) = (9, 7)
Step-by-step explanation:
There are numerous ways to find the solution to a system of equations. A quick and easy one is to use a graphing calculator. The attachment shows the solution to be ...
(x, y) = (9, 7)
__
You can also look for opportunities to do substitution or elimination. Here, the x-coefficients differ by a factor of 2, so it is convenient to subtract twice the first equation from the second. This eliminates the x-variable.
(-2x -5y) -2(-x -4y) = (-53) -2(-37)
3y = 21 . . . . . . simplify
y = 7 . . . . . . . . divide by 3
-x -4(7) = -37 . . . . . substitute into the first equation
-x = -9 . . . . . . . . . . . add 28
x = 9
The solution is (x, y) = (9, 7).
a hot air balloon is currently 100 feet above the ground. After 5 minutes, the hit air balloon is 40 feet above the ground. write the equation for the relation
Here is the Answer:
Step-by-step explanation:
PLEASE HELP ME. I NEED IT TO BE SOLVED.
the correct answer is 21
Answer:
21 (this is given in the simplest form)
how to simplify 8 + ( -6 ) + 4
Answer:
6
Step-by-step explanation:
[tex]8-6+4[/tex]
[tex]2+4\\6[/tex]
Drag and drop the angle pairs to correctly match their
description
vertical angles
complementary
angles
supplementary
angles
adjacent angles
that are neither
complementary nor
supplementary
What are you dragging so I can help?
Can y’all help me on this graph work asap pls
what is the area in the square units of the trapezoid below someone pls
help
Answer:
= 185 units²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases and b₁, b₂ the bases
here h = 10 , b₁ = 22 , b₂ = 22 - 7 = 15 , then
A = [tex]\frac{1}{2}[/tex] × 10 × (22 + 15) = 5 × 37 = 185 units²
I wasn't sure if it was 180 so I decided to post it
Answer:
25
Step-by-step explanation:
These angles are supplementary, or add up to = 180 degrees:
(2x + 10) + (4x + 20) = 180
6x + 30 = 180
6x = 150
x = 25
Let's check our work:
2(25) + 10 = 60
4(25) + 20 = 120
60 + 120 = 180 degrees :)
Good luck!
Answer:
x = 25
Step-by-step explanation:
[tex](2x+10)+(4x+20)=180^{o}[/tex]
[tex]6x+30=180[/tex]
[tex]6x=180-30[/tex]
[tex]6x=150[/tex]
[tex]x=150/6[/tex]
[tex]x=25[/tex]
Hope this helps
Rachel’s dog had 13 puppies. She gave away 5 pups. How many puppies did Rachel have left.
Answer:
8 puppies
Step-by-step explanation:
13-5=8
Answer: she had 8 pups left
Explanation: If Rachel's dog had 13 pups all you need to do is subtract 5 from 13 which is 8.
Hope this helps-
Can someone help me with this?
Answer:
f (g(x)) = 1/x - 2
Step-by-step explanation:
Given :
f(x) = 1/xg(x) = x - 2To Find :
f (g(x))Solving :
f(x - 2) = 1/x - 2f (g(x)) = 1/x - 2Graph
The midpoint of CD is M=(5,0). One endpoint is C=(2,5). Find the coordinates of the other endpoint, D
Lana does yard work. The information below shows the approximate time for each job:
Mow small lawn - 1/2hr
Mow large lawn - 3/4hr
Tidy yard - 1 1/2hr
Plant annuals - 2 1/2hrs
For one Saturday, Lana needs to mow 3 small lawns, mow 1 large lawn, tidy 2 yards, and plant annuals once. She needs travel time between jobs, and a break for lunch. Do you think she will be able to complete all of the jobs in one day? Justify your answer.
Answer:
No, not enough timeStep-by-step explanation:
Time to complete each of jobs
1/2 * 3 = 1 1/2 hrs3/4 * 1 = 3/4 hr1 1/2 * 2 = 3 hrs2 1/2 * 1 = 2 1/2 hrsTotal time at job
1 1/2 + 3/4 + 3 + 2 1/2 = 7 3/4 hrsIf the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.
This time is not sufficient so she can't complete all the jobs.
Answer:
No (see explanation below)
Step-by-step explanation:
Approximate times to carry out each job:
Mow small lawn = 1/2 hrMow large lawn = 3/4 hrTidy yard = 1 1/2 hrPlant annuals = 2 1/2 hrsFor one Saturday, Lana needs to:
mow 3 small lawnsmow 1 large lawntidy 2 yardsplant annuals onceTherefore, the total time for the jobs is:
[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]
The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch. A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.
Should you use Sine, Cosine, or Tangent to solve the following problem
Answer:
Chose Cosine
Step-by-step explanation:
This is because cos = adj/hyp
Hope this helps!!!
Find the MEDIAN of his test scores.
Last semester, Mike got the following classwork grades in Math.
45, 54, 72, 89, 100, 26, 34, 100 , 92, 85, 76
Answer:
76
Step-by-step explanation:
The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.
“Find 24% of $240.”
I keep trying and getting a different answer each time, please help
Answer:
$57.60
Step-by-step explanation:
The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.
(0.24)
Multiply that decimal by the number you want to find the percentage of
$240 * .24 = $57.60
Write the equation of the line that passes through the points (-2, 3) and (-2,5).
A. Y=1/2x+1
B. X=-2
C. Y=-2
D. Y=5
Answer:
Answer is B. X=-2
Step-by-step explanation:
I just used the slope formula and slope-intercept y = mx + b to find the equation
the number in this sequence increase by 40 each time. 30 70 110 115... the sequence is continued with the same rule. Which number in the sequence will be the closest to 300
Answer:
310
Step-by-step explanation:
150,190,230,270,310
hope this helps!
Mrs. Evans gave her class a 100-page reading assignment. After 2 days, Kya and
Chase each have 64 pages left to read.
Each student writes a function f(t) to model the pages left to read, where t is the
number of days since the assignment was given.
Kya writes an exponential function that fits the data.
Chase writes a linear function that fits the data.
Drag equations to the table to show the functions they wrote
Answer:
kya- y= 100·(0.8)^t
chase= 100-18t
Step-by-step explanation:
I did the work on imagine math
The exponential function that fits the data is y= 100·(0.8)^t
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
We are given that Mrs. Evans gave her class a 100-page reading assignment.
Since 2 days, Kya and Chase each have 64 pages left to read.
Each student writes a function f(t) to model the pages left to read, where t is the number of days since the assignment was given.
Kya writes an exponential function that fits the data as;
y= 100·(0.8)^t
Chase writes a linear function that fits the data as;
chase= 100-18t
Learn more about function here:
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Three tennis balls are stored in a cylindrical can with
a height of 8 inches and a radius of 2 inches. Each
tennis ball has a radius of 1 inch. What is the
amount of volume not taken up by the tennis balls
in the can? Use 3.14 for n. Round your answer to the
nearest tenth.
4 in
Answer:
87.9 in³
Step-by-step explanation:
Volume of the can
V = πr²h [volume of a cylinder]V = 3.14 x 2 x 2 x 8V = 3.14 x 32V = 100.48 in³Volume of 3 tennis balls
V = 4/3πr³ [volume of one sphere]V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]V = 4 x 3.14V = 12.56 in³Remaining space
Volume of can - Volume occupied by 3 tennis balls100.48 - 12.5687.92 in³ ⇒ 87.9 in³