=======================================================
Explanation:
Ignore the 10²⁰ portions. We can replace them with the variable m, or whatever letter you like
So the original expression becomes 8.64m - 7.83m which simplifies to 0.81m
Basically you subtract the values without the m, so 8.64-7.83 = 0.81
Then you tack on the m at the end.
The 0.81 itself is not in scientific notation, but we can fix that like so:
0.81 = 8.1*10^(-1)
Furthermore, we can say:
0.81m = 8.1*10^(-1)*m
0.81m = 8.1*10^(-1)*10^(20)
0.81m = 8.1*10^(-1+20)
0.81m = 8.1*10^(19)
Find the original price of a pair of shoes if the sale price is $78 after a 25% discount.
78=.75x or $78 is 75% of the original price before the discount 78/.75=x x=104 is the original price proof 104-(.25*104)=78 104-26=78 78=78
The Venn diagram shows the number of students that exercise in different ways. What number should go in the highlighted box below?
Answer:
50
Step-by-step explanation:
Add up all the numbers
100/a = 25
i think its 2500 but I'm not sure
Answer:
a=4
Step-by-step explanation:
100/a=25
100/25 =a
a=4
Law of sines due tonight
Answer:
Step-by-step explanation:
sin(110°) / AC = sin(40°) / 12
now use algebra skillz to solve for AC
12*sin(110°) / sin(40°) = AC
17.5 =AC
A family has traveled 276 miles of a planned trip. This is 64% of the total distance they must
travel on the trip. Find, correct to the nearest mile, the total distance they will travel on their
trip.
Answer:
431 mi
Step-by-step explanation:
276 mi = 0.64 x total distance
---> total distance = 276 mi / 0.64 = 431 mi
Answer:
vetting L yenigun . mero stari bonjeria
Point S is reflected about the x-axis in the coordinate plane and then rotated 90°
counterclockwise about the origin to create Point
S'. Which relationship between S' and S must be true?
A. S’ is the same point as S.
B. S’ is S reflected about the y-axis.
C. S’ is S reflected about the line y= -x
D. S’ is the result of switching coordinates of S.
Answer:
D. S’ is the result of switching coordinates of S.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Type of transformation are translation, reflection, rotation and dilation.
If a point A(x, y) is reflected along the x axis, the new point is A'(x, -y). If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x).
Let us assume that S is at (x, y). Hence, if point S is reflected about the x-axis in the coordinate plane to get (x, -y). If it is then rotated 90° counterclockwise about the origin, the new point is at S'(y, x). S’ is the result of switching coordinates of S
find the indefinite integral ∫((x^2)/(4x^3+9)) dx
Answer:
[tex] \displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following indefinite integral:
[tex] \displaystyle \int \frac{ {x}^{2} }{4 {x}^{3} + 9} dx[/tex]
in order to integrate it we can consider using u-substitution also known as the reverse chain rule and integration by substitution as well
we know that we can use u-substitution if the integral is in the following form
[tex] \displaystyle \int f(g(x))g'(x)dx[/tex]
since our Integral is very close to the form we can use it
let our u and du be 4x³+9 and 12x²dx so that we can transform the Integral
as we don't have 12x² we need a little bit rearrangement
multiply both Integral and integrand by 1/12 and 12:
[tex] \displaystyle \frac{1}{12} \int \frac{ 12{x}^{2} }{4 {x}^{3} + 9} dx[/tex]
apply substitution:
[tex] \displaystyle \frac{1}{12} \int \frac{ 1}{u} du[/tex]
recall Integration rule:
[tex] \displaystyle \frac{1}{12} \ln(|u|) [/tex]
back-substitute:
[tex] \displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) [/tex]
finally we of course have to add constant of integration:
[tex] \displaystyle \frac{1}{12} \ln( |{4x}^{ 3} + 9|) + \rm C[/tex]
and we are done!
A random sample of 650 people found that 312 preferred to read using an electronic device rather than reading printed material. Based on these results, how many out of the next 100 people surveyed would you expect to prefer reading using an electronic device?
Answer:
48
Step-by-step explanation:
the answer is 48 because according to the results 48% of people prefered given device and 48% of 100 is 48
Pls help....................asap.....
Answer:
square: 4 1/2 trangle: 2 1/2
Step-by-step explanation:
A comedy club hosts an amateur comedy night, a good opportunity for aspiring comedians to
perform. Of the 8 amateur comedians who signed up for tonight's show, 6 perform satirical
comedy,
If the host randomly selects 4 comedians from the sign-up list, what is the probability that all
of them practice satirical?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.2143 probability that all of them practice satirical.
Step-by-step explanation:
The comedians are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
8 comedians means that [tex]N = 8[/tex]
6 practice satirical means that [tex]k = 6[/tex]
Sample of 4 means that [tex]n = 4[/tex]
What is the probability that all of them practice satirical?
This is P(X = 4). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,8,4,6) = \frac{C_{6,4}*C_{2,0}}{C_{8,4}} = 0.2143[/tex]
0.2143 probability that all of them practice satirical.
what is the volume if a hemisphare with a diameter of 10cm
Answer:
volume of hemisphere=2/3πr³
2/3×22/7×5³261.90cm³hope it helps.
Yolanda is planning out her square vegetable garden. One side 7 feet. How
can I represent the perimeter with equations?
What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?
Answer:
Hi! The answer to your question is y = 9
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
pls help ill give branliest
answer this if you want 70 pts who ever answers first I will brainliest and give 5 stars with a thank you and you will earn 70 pts you may go NOW
16. A roller rink floor is show below. Each end has a semicircle. What is the area? Use = 3.14
20 m
Answer:
714m^2
Step-by-step explanation:
So, as we said in the comments, since they didn't give the radius, we have to assume the center is a square. That means the area of the center part is 20m x 20m, and the diameter of the circular ends is 20m as well.
Area of center: 20 x 20 = 400m^2
Area of ends:
Area = (pi)(r)^2
The radius = 1/2 the diameter = 10m
Area = (3.14)(10)(10)
Area = 3.14 x 100 = 314m^2
Now, if it only had one semicircle on the end like your previous question, we'd have to divide this answer by 2, but the circular area we just calculated covers both ends, so the total area = the square center + the circular area
400 + 314 = 714m^2
Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. How much money did Omar earn?
Answer:
Total amount Omar earn = $120
Step-by-step explanation:
Given:
Total amount Omar, Hala and Lujain got paid = $240
Ratio of money Omar, Hala and Lujain got paid = 5:9:10
Find:
Total amount Omar earn
Computation:
Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]
Total amount Omar earn = [240][5 / (5+9+10)]
Total amount Omar earn = [240][5 / (24)]
Total amount Omar earn = [24][5]
Total amount Omar earn = $120
100 POINTS PLEASE HELP. answer all questions please. check the image.
Answer:
Step-by-step explanation:
Problem 1
g(-23) = 3
g(0) = 5
2 = g(10)
1 = g(34)
Problem 2
No, because g(x) = f(-x). For g(x) to inverse of f(x), g(f(x)) = x
Problem 3
tan(50) = 1.19
Height of statue = 250*1.19 - 150
= 147.9 ft
Problem 4
cosθ = 9/12
θ = 41.41 deg.
Answer:
Step-by-step explanation:
g(x) is inverse of f(x)
so g(f(x))=x
g(-23)=3
g(0)=5
g(10)=2
g((34)=1
no, it is an inverse
4 inverse fn, g(r(x))=x
but here g(x)=r(-x)
so g(r(x))=r(-r(x)) n NOT =x
pedestal + statue = 250*tan(50degree) = 297.94
statue ht = 297.94-150 = 147.94 ft
cos(theta) = 9/12
theta = 41.41 deg.
A group of friends wants to go to the amusement park. They have no more than $310 to spend on parking and admission. Parking is $9, and tickets cost $35 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answer:
9 + 35x = 310
Step-by-step explanation:
c(x)=2x^3+3x^2-1 find rational zeros
Answer:
1/2
Step-by-step explanation:
The Rational Root Theorem says that any rational root has
1. a numerator that is a factor of the constant term
2. a denominator that is a factor of the leading coefficient (that's attached to the highest-power term)
Numerator: [tex]\pm 1[/tex]
Denominator: [tex]\pm 2[/tex]
That means there are only two possible rational roots: [tex]\pm \frac{1}{2}[/tex]
Try them both by plugging them into the polynomial.
[tex]2\left(\frac{1}{2}\right)^3 + 3\left(\frac{1}{2}\right)^2 -1= \frac{1}{4}+\frac{3}{4}-1 =0[/tex]
Aha! The negative one-half value does not produce 0
Answer this question pls!! (Will give Brainliest)
Answer:
first blank is 90/100
second blank is 145/100
Step-by-step explanation:
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
the answer is none
Step-by-step explanation: It's not the same shape so it can't be either of these choices.
Answer:
none!
Step-by-step explanation:
not same shape
Uniform
shirts:
$12 each
Buy 4 shirts, get
2 free
Answer:
Uniform Shirt:$48
Step-by-step explanation:
12×4=48 for four shirt uniforms other two are free so final answer is $48 of Uniform shirt.
Hope this help you
Help , please how to solve this?
Answer:
36
Step-by-step explanation:
Work out the terms inside the parenthesis from x = 2 to x = 5. Hint: there will be 4 terms.
x = 2 ---> 0
x = 3 ---> 1
x = 4 ---> 2
x = 5 ---> 3
The sigma symbol means that you have to add them all up so the sum is 6. Therefore,
(6)^2 = 36
Answer:
36
Step-by-step explanation:
Sum the terms (x - 2) for x = 2 to 5 then square the result
[ (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) ]²
= ( 0 + 1 + 2 + 3 )²
= (6)²
= 36
HELP ME PLEASE IM LOST
Answer:
D) $0.15/hr
Step-by-step explanation:
Divide 1.5 by 10 and you get 0.15, check your work by dividing 3 by 20=0.15, you divide the numbers in which are a line, for example look at the cost 3 and hours used 20, (if that makes sense)
Find the probability of rolling a number less
than 3 on a die.
Pls help
Step-by-step explanation:
When a die is rolled, here it's Total possible outcome is= 6
and sample space is = 2 ( i.e. 1 & 2)
So. Probability of getting less than 3 = 26
=13
That's it
12) A survey found that 60% of the people by used cars. If a car dealership has 3,500 car buyers, predict how
many buyers purchased a used car.
Answer:
The correct answer is 2100.
(60% of 3,500 = 2,100)
Step-by-step explanation:
Can someone help me please
Answer:
x=9 since 2x9=18 and 18-8=10
The histogram represents the time it takes employees to get to work each morning.
Which statement correctly describes the data?
The data is skewed left because the time it takes employees to get to work tails off to the left.
The data is skewed left because the time it takes employees to get to work tails off to the right.
The data is skewed right because the time it takes employees to get to work tails off to the right.
The data is skewed right because the time it takes employees to get to work tails off to the left.
Answer:the answer is B ,
Step-by-step explanation: just took the test .
Wyatt is going to invest $28,000 and leave it in an account for 5 years.
Assuming the interest is compounded quarterly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Wyatt to end
up with $31,000?
Answer:2.04 %
Step-by-step explanation: