Answer:
8.96 x 10^7
Step-by-step explanation:
9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000
89600000 can also be written as 8.96 x 10^7
simplify −3x^3(−2x^2+4x−3)
Answer:
Step-by-step explanation:
6x^5 - 12x^4 + 9x^3
(-3x^3*(-2x^2) - 3x^3(4x) - 3x^3(-3)
Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q.
In the diagram, the only figure that could be parallel to line c is
line a.
line b.
line d.
plane Q.
Answer:
C. line d
Step-by-step explanation:
Two parallel lines are lines that do not meet even with continuous extension of their length. While two lines are perpendicular when they form a right angle to each other at the point where they meet.
In the given question, the only figure that would be parallel to line c is line d. Line a is not parallel to line c (since it is slightly diagonal, it would intersect line c at a point) and line B is perpendicular to line c (since it is horizontal to plane Q), same as plane Q. So that lines c and d are parallel to each other.
Answer:
C. Line D
Step-by-step explanation:
Just took the test and got it right
Stanley has drawn a right angle triangle. One side is 14cm and another is 18cm. There are two possible lengths for the third side. What are they?
Answer:
2V130 , 8V2
Step-by-step explanation:
If these are cahetus
x^2=14^2+18^2=196+324=520
x=V520=2V130
if 18 is not a cathetus then
18^2=x^2+14^2
x^2=18^2-14^2
x^2=324-196=128
x=V128
x=8V2
why is 1.5 + 2 + 3 = 5 + (2 + 3) false ?
Answer:
because each side has a different value making that = sign false
Step-by-step explanation:
Answer:
It is false.
Step-by-step explanation:
If you calculate the sum, you get 6.5 = 10.
6.5 does not equal ten. If you need me to go further in depth, let me know!
What is the value of the rational expression below when xis equal to 3?
15 - X
9-X
Answer:
x=12
x=6
Step-by-step explanation:
15-(3)=12
9-(3)=6
Answer:
15-x is 12
9-x is 6
Step-by-step explanation:
Find the exact value using trigonometric identities.
James went on holiday to America.
The summary table below shows all his expenses during this trip.
Cost in $
Cost in £
Flights
£1,400
Hotel (14 nights)| $105 per night
Wifi (13 days)
$4 per day
I
The exchange rate at the time of James' holiday
was $1.45 to £1
Work out, in £, the total cost of his holiday.
Answer:
£2,450
Step-by-step explanation:
What we want to do here is calculate the total amount spent on his birthday in £
We already have some costs in pounds, it is the costs not in pounds we are converting.
Flights already in pounds, no conversion
Hotel $105 per night at 14 days
Total here is 14 * 105 = $1470
Wifi cost at $4 per day for 13 days
Total here is 13 * 4 = $52
Total amount spent in dollars alone is $1470 + $52 = $1522
We try and covert this to pounds
$1.45 = £1
$1522 = £x
We simply cross multiply at this point
x = 1522/1.45 = 1049.65 which is approximately £1050
Total amount spent in £ is thus 1050 + 1400 = £2,450
Answer:
£2449.65
Step-by-step explanation:
105 × 14 = $1470
1470 ÷ 1.45 = £1013.79
13 × 4 = $52
52 ÷ 1.45 = £35.86
£1013.79 + £35.86 = £1049.65
£1049.65 + 1400.00 = £2449.65
The total cost was £2449.65
In a 2012 city election 33% of the eligible voters voted if there were 2500 eligible voters approximately how many people voted round your answer to the nearest whole number
Answer:
825 people
Step-by-step explanation:
In the City where the election came up, 33% of the eligible voters voted
It is observed that there are 2500 eligible voters approximately.
The people who voted in 2012 is =
33/100 * 2500
=825 People
In 2012, the total number of people who voted in the city is 825 people
Create a problem using the Pythagorean theorem. Then, solve the problem you’ve created showing all steps.
Answer:
Draw a right triangle and name it ABC- C is your right angle. A is the angle above C and B is the angle on the side of C. AC=12 and CB=5, you have to find AB using the Pythagorean Theorem.
Step-by-step explanation:
Using the Pythagorean Theorem you say:
AB²=AC²+CB²
AB²=12²+5²
AB²=144+25
AB²=169
AB=√169
AB= 13
Retro Recyclers processes used plastics into milk containers and soda containers. The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers. Retro earns $35 per tons for milk containers and $28 per ton for soda containers. Retro wants to figure out how many tons of plastic should be allocated for milk containers and how many tons for soda containers in order to maximize its weekly profit.
Define the variables, write the constraints, and write the objective function for this situation.
Answer:
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
subject to following constraints:
[tex]x\geq 900\\y\geq 600[/tex]
[tex]x+y\leq 2000\\x\geq 0\,,\,y\geq 0[/tex]
Step-by-step explanation:
Given: The recycling plant can process up to 2000 tons of plastic a week. At least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers.
Also, Retro earns $35 per tons for milk containers and $28 per ton for soda containers.
To find: objective function for the given situation
Solution:
Let x tons be used to make a milk container and y tones be used to make a soda container.
As at least 900 tons must be processed for milk containers and at least 600 tons must be processed for soda containers,
[tex]x\geq 900\\y\geq 600[/tex]
Also, as the recycling plant can process up to 2000 tons of plastic a week,
[tex]x+y\leq 2000[/tex]
Also, [tex]x\geq 0\,,\,y\geq 0[/tex]
Objective function:
Maximize profit P = [tex]35x+28y[/tex]
Points 2
Triangle ABC is translated 3 units left and 4 units up. Find the coordinates of
the new triangle
Answer:
a = -1,6 b = 1,11 c = 4,11 .
Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct? A. Yes, she is correct. B. No, a must be the shortest side, then b, and c is the longest side. C. No, c must be the shortest side, then b, and a is the longest side. D. No, a and b are interchangable, and c is the longest side.
Answer: D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.
For example let's say you have a right angle with side lengths 3,4 and 5.
5 in this case has to be always the hypotenuse.
A could be either 3 or 4 but not 5
And B could also be 3 or 4 but not 5
because A squared plus B squared is always equal to the hypotenuse which is 5.
3^2 + 4^2 = 5^2
9 + 16 = 25
25 = 25
Answer:
D. No, a and b are interchangeable, and C is the longest side.
Step-by-step explanation:
PLEASE ANSWR ASAP FOR BRAINLIEST!!!!
Answer:
x = 33
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
x+114+33 = 180
Combine like terms
x+147 = 180
Subtract 147 from each side
x+147-157 = 180-147
x = 33
Answer:
x=33
Step-by-step explanation:
The interior angles of a triangle must add up to 180 degrees. Therefore, the 3 angles inside the triangle should add to 180.
x+114+33=180
Combine like terms by adding 114 and 33
x+147=180
In order to solve this equation, we must get x isolated. Perform the inverse operation to both sides.
x+147=180
147 is being added on to x. The inverse of addition is subtraction. Subtract 147 from both sides.
x+147-147=180-147
X=180-147
x=33
x is equal to 33 degrees.
A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18 \pi18π18, pi meters. What is the area AAA of the cross section of the column? Give your answer in terms of pi. A =A=A, equals \text{ m}^2 m 2 start text, space, m, end text, squared
Answer:
[tex]A=81\pi $ m^2[/tex]
Step-by-step explanation:
Circumference of the column [tex]=18\pi $ meters[/tex]
Circumference of a circle[tex]=2\pi r[/tex]
Therefore:
[tex]2\pi r =18\pi $ meters\\2r=18\\r=18 \div 2\\$Radius, r=9 meters[/tex]
Area of a Circle [tex]=\pi r^2[/tex]
Since radius of the cross section of the column =9 meters
Area of the cross section of the column
[tex]=\pi *9^2\\=81\pi $ m^2[/tex]
Answer:
81pi
Step-by-step explanation:
If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f- g)(x).
Answer:
Step-by-step explanation:
- 4x² + 10x
Answer:
[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]
Step-by-step explanation:
Given:
[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]
Solve for:
[tex](f - g)(x)[/tex]
Solution:
Perform the subtraction:
[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]
Eliminate the parenthesis (notice the change in sign of some components):
[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]
Rearrange the expression:
[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]
Simplify the expression:
[tex](f - g)(x) = -4x^{2} + 10x[/tex]
Perform the inverse of associative property:
[tex](f - g)(x) = -2x(2x - 5)[/tex]
Hope this helps!
:)
PLEASE HELP WILL MARK BRAINLIEST
There are 5 boys in a class of 12 students. (a) What is the ratio of all students in the class to girls? (b) What is the ratio of girls to boys?
Answer:
(a) 12:5
(b)12:7
Step-by-step explanation:
HOPE i helped!
A coin jar contains 10 quarters, 6 dimes, and 8 nickels. Find the probability that a dime is chosen at random from the jar and then a nickel is chosen at random from the jar.
Answer: 6 to 24
Step-by-step explanation:
Henry's wage is £450 per week.
He spends 2/5 of his wage on food.
30% goes on the household bills and the rest is saved.
How much does Henry save each week?
Answer:
He saves £135 each week
Step-by-step explanation:
He spends 2/5 of his wage on food
2/5x450=£180
He spends 180£ on food each week
30% of 450 is 135 which he spends on house holdbills. thus, he pays £135 on bills
so his total expenditure is 135+180= £315
he saves the rest which is £135.
thus, your answer is £135
I need help on this math problem ASAP.
Answer:
This shape is a rectangle so that means that the angles are 90°. From sum of angles of a triangle, x + 3x + 10 + 90 = 180 which means 4x + 100 = 180 → 4x = 80 → x = 20°.
Which expression represents the number 3+−4−−−√ rewritten in a+bi form?
3+4i
0+5i
3i+2
3+2i
−4i+3
Question:
Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?
Answer:
3 + 2i
Step-by-step explanation:
Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)
[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)
The complex number representation of [tex]\sqrt{-1} = i[/tex] and [tex]\sqrt{4} = 2[/tex]
Make these substitutions into equation ( 2)
[tex]y = 3 +2i\\[/tex] is in the form a + bi
Where a = 3 and b = 2
please help, i am not good at maths, brainiest will be given
Answer:
Modal average is the number that appears the most
Modal average: 3
1+2+3+4+5=15
15/3= Mean: 3
Step-by-step explanation:
add all the bedrooms and divide that sum by the number of numbers added. That's the mean.
Hope this helps.
A) 4 is the mode of the table
B)
1+2+3+4+5=15
15/5=3
how many inches in 85937392 metres?
Answer:
3383361889.8
Step-by-step explanation:
1 meter = 39.3701 inches
85937392 x 39.3701 = 3383361889.8
Answer:
3,383,361,889.76 inches
Step-by-step explanation:
1 meter = 39.37 inches
multiply 85937392 by 39.37
answer is 3383361889.76
assume that for a particular group of students, the events is a senior and is female are independent. If 30% of the students are seniors and 54% of the students are female, what is the probability of being a female senior?
Answer:
C
Step-by-step explanation:
If 30% of the entire population of students are seniors, then this will apply to the female population as well. This means that the probability of being a female senior is 30% * 54%=0.3*0.54=0.162=16.2%, or answer choice C. Hope this helps!
Krista was assigned a homework problem that stated there were 45 stamps purchased for $18.75. Some stamps were 40 cents, and some stamps were 55 cents. To solve this problem, she wrote the system of equations that is shown below. 0.40 x + y = 45. x + 0.55 y = 18.75. Which explains the error that Krista made? Krista put 0.40 in the first equation meant for the number of stamps. Krista put 0.55 in the second equation meant for the value of stamps. Krista did not use the correct decimal to represent the total cost of the stamps. Krista mistakenly put 45 in the first equation when it should have been in the second equation.
PLEASE HURRY I REALLY NEED HELP WILL GIVE BRAINLIEST
Answer: Krista put 0.40 in the first equation meant for the number of stamps
Step-by-step explanation: From the information available to Krista, she can determine the number of stamps that cost 40 cents and those that cost 55 cents. What she needs is a system of simultaneous equations both of which would use the total number of stamps and the total cost of stamps to determine the how many stamps cost 40 cents and how many costs 55 cents.
The system of equations should have been,
x + y = 45 ----------(1)
0.40x + 0.55y = 18.75 ----------(2)
From equation (1), let x be the subject of the equation and hence x = 45 - y
Substitute for the value of x into equation (2)
0.40(45 - y) + 0.55y = 18.75
18 - 0.40y + 0.55y = 18.75
Collect like terms and you now have
0.55y - 0.40y = 18.75 - 18
0.15y = 0.75
Divide both sides of the equation by 0.15
y = 5
When y has been calculated as 5, substitute for the value of y into equation (1)
x + y = 45
x + 5 = 45
x = 45 - 5
x = 40
The results show that the stamps that cost 0.40 cents (x) were 40 in number while those that cost 0.55 cents (y) were 5 in number.
This answer could not have been derived due to the mistake Krista committed when writing the equations.
Answer:
a
Step-by-step explanation:
Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b?
Answer:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary . ... When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .
Step-by-step explanation:
hope this helps you :)
Answer:
The answer is 102
Step-by-step explanation:
Did it on edg hope this helps :)
Based on this work, what is the solution to the system?
(-4, -4)
(0, 0)
no solution
infinitely many solutions
Answer:
no solution
Step-by-step explanation:
Based on the information provided, the solution to the system is (-4, -4). Option A is the correct answer.
In a system of equations, the solution represents the values of the variables that satisfy all the equations simultaneously. In this case, we are given the solution points (-4, -4) and (0, 0). Option A is the correct answer.
If the given points satisfy both equations in the system, then it is the solution to the system. By substituting the values of x and y from the given points into the equations, we can check if they hold true.
Let's assume the system of equations is represented as follows:
Equation 1: x + y = -8
Equation 2: 2x + 2y = -16
Substituting (-4, -4) into the equations:
Equation 1: -4 + (-4) = -8 (True)
Equation 2: 2(-4) + 2(-4) = -16 (True)
Since both equations are true for the point (-4, -4), it is the solution to the system. Therefore, the solution to the system is (-4, -4).
Learn more about Solution System here:
https://brainly.com/question/30285644
#SPJ2
The complete question is, "Based on this work, what is the solution to the system?
a. (-4, -4)
b. (0, 0)
c. no solution
d. infinitely many solutions"
Is 1.273 15688 natural number an integer a whole number a rational number
Answer:
It's rational number
Step-by-step explanation:
Natural numbers are the positive integers also known as whole numbers.
You roll a twelve-sided die (having values one through twelve on its faces). What is the probability that the value of the roll will be a composite number?
show work pls!
help pls!
Step-by-step explanation:
Probability
Probability is a measure of the likelihood that an event will happen.
When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Probability =
How much glass is needed to make the given cup below, if it has a height of 6 inches and a radius of 1.5 inches
Answer:
[tex]31.5\pi[/tex]
Step-by-step explanation:
Using the formula given, you can find that the surface area of the glass is:
[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]
Hope this helps!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:5/3
Step-by-step explanation:
choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3
Expand and simplify
n(6 + n) =
Answer:
n²+6n
Step-by-step explanation:
n(6 + n) = 6n+n²= n²+6n