Answer: 745
Step-by-step explanation:
[tex]7.45 \times 10^{3}=7.45(1000)=\boxed{745}[/tex]
find the difference. (12m + 1) - (5m - 4)
Answer:
7m + 5
Step-by-step explanation:
1) Simplify.
(12m + 1) - 1 (5m - 4) -> (12m + 1) - 5m + 4
2) Eliminate unnecessary parenthesis.
(12m + 1) - 5m + 4 -> 12m + 1 - 5m + 4.
3) Combine like terms.
12m - 5m = 7m, 4 + 1 =5 -> 7m + 5
The solution is 7m + 5
Can anyone help me with this plzz?
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Explanation:
Check out figure 1 in the attached images below. In this figure, I've plotted the function y = 6/(2x-3) on a 2D grid system. The function curve is in blue. Then I've plotted (2,0) and (3,0) on the x axis. Point A is somewhere between those endpoints. Point A is also on the x axis. Directly above A is point B such that B is on the blue function curve.
The distance from A to B is found by subtracting the y values of each point.
The y coordinate of A is y = 0. The y coordinate of B is y = 6/(2x-3)
Therefore, the distance from A to B is 6/(2x-3) units. This will form the radius of each cylindrical slice as figure 2 shows. Note the color coding to help see how the 2D view corresponds to the 3D view. The xy plane has been laid flat on the floor. So we're viewing the function curve at a downward angle now. Each of those gray cylinders combine to form an approximate 3D volume. The more cylinders we have, and the finer the cuts, the more accurate the total volume.
So it comes down to finding the volume of each cylindrical slice and adding up the volumes. This is effectively what integral calculus is all about.
------------------------------------
Since the radius of each cylinder is y = 6/(2x-3), this means r = 6/(2x-3) is plugged into the formula
V = pi*r^2*h
which is the volume of a cylinder formula
The height of each cylinder is delta x, which we'll use dx for short. So this is where the dx comes from in integrals.
This is what the integral will look like
[tex]\displaystyle V = \int_{2}^{3} \pi*\left(\frac{6}{2x-3}\right)^2dx[/tex]
which turns into
[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx[/tex]
after a bit of algebra. We're able to factor the 36pi out because it's a constant
From here we use u-substitution. Let u = 2x-3
This leads to du/dx = 2 which can be solved to dx = du/2
Since u = 2x-3, the lower endpoint x = 2 leads to
u = 2x-3 = 2*2-3 = 1
and x = 3 leads to
u = 2x-3 = 2*3-3 = 3
So the interval 2 < x < 3 turns into 1 < u < 3
After using u-sub, making the proper replacements, and integrating, we get
[tex]\displaystyle V = 36\pi\int_{2}^{3}\frac{1}{(2x-3)^2}dx\\\\\\\displaystyle V = 36\pi\int_{1}^{3}\frac{1}{u^2}\frac{du}{2}\\\\\\\displaystyle V = 36\pi*\frac{1}{2}\int_{1}^{3}\frac{1}{u^2}du\\\\\\\displaystyle V = 18\pi\int_{1}^{3}u^{-2}du\\\\\\\displaystyle V = 18\pi\left[-u^{-1}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\[/tex]
Let's evaluate that to get the following
[tex]\displaystyle V = 18\pi\left[-\frac{1}{u}+C\right]_{1}^{3}\\\\\\\displaystyle V = 18\pi\left[\left(-\frac{1}{3}+C\right)-\left(-\frac{1}{1}+C\right)\right]\\\\\\\displaystyle V = 18\pi\left(-\frac{1}{3}+1\right)\\\\\\\displaystyle V = 18\pi\left(\frac{2}{3}\right)\\\\\\\displaystyle V = 12\pi\\\\\\[/tex]
So the 3D volume formed by rotating that region (under the curve from x = 2 to x = 3) is exactly 12pi cubic units
will give brainliest
I don't understand algebra 2!!! at all idk why
break it down please help
Answer:
1/5... 1 on top 5 on bottom
Step-by-step explanation:
sub in the values:
[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]
now add:
[tex]\frac{12}{60}[/tex]
simplify:
1/5
Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the afternoon. What is the approximate percent increase for the day so far?
A. The percent increase is approximately 31%.
B. The percent increase is approximately 45%.
C. The percent increase is approximately 68%.
D. The percent increase is approximately 82%.
Answer:
C
Step-by-step explanation:
If you find the difference between 45 and 31, you find the increase. Take that and make it a percentage of 68. I hope this helped! Have a great day.
If m <2 = 120', what is m<7?
m<7=120'
Step-by-step explanation:
m<2 = m<6 because m and l are parallel and m<6 =m<7 because they are vertically opposite angles (v.o.a)
Answer:
m<7=120
Step-by-step explanation:
2 and 7 are alternate exterior angles and because l and m are parallel lines then m<2=m<7
PLEASE HELP I NEED THIS TODAY!!
Answer: 201.06
Step-by-step explanation: The formula is pi times the radius squared.
Find the y-intercept of the line on the graph.
Enter the correct answer
People with a brain in Health I need you
Why does my knee and hip keep popping out of its place as it hurts in the weirdest way i don't know if i should go to the hospital or not
and if I play basketball and football and track and volleyball it will pop out randomly but not soccer it is so weird and i donno whatta do
A Knee sleeve doesn't even work why? ughhhh I am bouta lose it
i will go to the gym and it will literally make me collapse....
Answer:
That ain't normal
Step-by-step explanation:
what is the speed of a jet plane that travels 528 m in four seconds
Answer: 132 m/s
Step-by-step explanation:
Also known as "fast"
Answer: 132m/s
Step-by-step explanation:
Use the formula: speed = distance/time
Plug in your numbers: speed = 528/4
Solve: speed = 132m/s
What is the point slope form of a line that has a slope of 3 and passes through point (1, 4)?
Answer:
3x - y = -1
Step-by-step explanation:
y - y₁ = m(x - x₁)
substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m
y -4 = 3(x - 1)
distribute 3 to (x - 1)
y - 4 = 3x -3
isolate 3x by itself by adding 3 to both sides
y - 1 = 3x
subtract y from each side
-1 = 3x - y
and just flip around the equation to make it look nicer
3x - y = -1
Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Prasitha has two buildings A and B. A is 10 feet shorter than the twice the height of B. The distance between the buildings is 120 feet and the height of B is 60 feet. Find the distance between their tops.
Answer:
The distance between their tops is 130 feet
Step-by-step explanation:
The given parameters are;
The height of A, [tex]h_A[/tex] = 2 × The height of B - 10
The distance between the two buildings, d = 120 feet
The height of B, [tex]h_B[/tex] = 60 feet
Therefore, we have;
The height of A, [tex]h_A[/tex] = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet
The height of A, [tex]h_A[/tex] = 110 feet
By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)
Substituting the values gives;
The distance between their tops = √((110 - 60)² + 120²) = 130
The distance between their tops = 130 feet.
What is the solution to the equation represented by the model below?
3 x tiles and 8 positive 1 tiles = 4 x tiles and 6 positive 1 tiles
x = negative 14
x = negative 2
x = 2
x = 14.
Answer:
Therefore, the correct option is;
x = 2
Step-by-step explanation:
Let x represent the number of tiles, and let 1 represent the positive 1 tiles
Let the and operator represent addition we have;
3 × x + 8 × 1 = 4 × x + 6 × 1
We simplify as follows;
3·x + 8 = 4·x + 6
We move and place like terms together as follows;
4·x - 3·x = 8 - 6
From which we have;
x = 2
Therefore, the correct option is x = 2
Step-by-step explanation:
Edge 2021
verified
What's 6+2x^2 in factored form?
Answer:
2 ( x^2 + 3 )
Step-by-step explanation:
The speed of an object can be found by taking the distance it travels and dividing it by the time it takes to travel that distance. An object travels 100 feet in 2.5 seconds. Let the speed, , be measured in feet per second.
Write an equation to represent the relationship between the three quantities (speed, distance, and time).
speed = [tex]\frac{distance}{time}[/tex]
speed = [tex]\frac{100}{2.5}[/tex]
speed = 40 feet per second
Kiran's family is having people over to watch a football game. They plan to serve sparkling water and pretzels. They are preparing 12 ounces of sparkling water and 3 ounces of pretzels per person. Including Kiran's family, there will be 10 people at the gathering.
A bottle of sparkling water contains 22 ounces and costs $1.50. A package of pretzels contains 16 ounces and costs $2.99. Let LaTeX: nn represent number of people watching the football game, LaTeX: ss represent the ounces of sparkling water, LaTeX: pp represent the ounces of pretzels, and LaTeX: bb represent Kiran's budget in dollars. Which equation best represents Kiran's budget?
Select all that apply.
Which of the following are true?
Fractions and ratlos cannot have zero in the denominator.
Fractions and ratios can be simplified the same way.
Fractions and ratlos are different names for the same thing.
Some fractions and ratlos can be written as mixed numbers.
Answer:
A and D are the correct answers
Answer:
First, second and fourth are correct;
The third might be correct since fractions and ratios can often represent the same information in different ways and in some cases even in the same way, but this may not always be true.
if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000
Answer:
20 mobile sets.
Step-by-step explanation:
Every mobile set costs:
40000 / 8
= 5000 Rs.
Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:
100,000 / 5000
= 20 mobile sets.
Hope this helped!
1. Multiply using distributive property.
(4x - 2)(x-3)
2. Multiply using the FOIL method.
(x - 5)(3x + 2)
Please explain it in an easy way.
Answer:
The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division.
Step-by-step explanation:
Answer:
2. [tex]3x^2-13x-10[/tex]
Step-by-step explanation:
Expand (x−5)(3x+2) using the FOIL Method.
Step 2: Apply the distributive property.
[tex]x(3x+2)-5(3x+2)[/tex]
Step 3: Apply the distributive property.
[tex]x(3x)+x(2)-5(3x+2)[/tex]
Step 4: Apply the distributive property.
[tex]x(3x)+x(2)-5(3x)-5(2)[/tex]
Simplify and combine like terms.
Step 5: Simplify each term.
[tex]3x^2+2x-15x-10[/tex]
Step 6: Subtract 15x from 2x.
[tex]3x^2-13x-10[/tex]
Computer salespeople at a local store earn a $100 commission per computer for the first 5 computers they sell each month. For every additional computer they sell during that month, the commission per computer is 1.5 times the rate for the first five. Which of the following is the total commission earned by a salesperson who sells 8 computers in a month?
A. $190
B. $800
C. $950
D. $1,050
E. $1,200
Answer:
C
Step-by-step explanation:
500+450=950
D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Answer:
Step-by-step explanation:
D = { - 4 , 0 , 2 , 7 }
R = { - 8 , - 1 , 3 }
Yes the relation is a function.
If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”
Oksuru k diyaf ramincok ani kasilm asiyla olusan bir refle kstir.
Please help me!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer
Answer:
[tex]m=-\frac{3}{2}[/tex]
Step-by-step explanation:
First, look at the graph and pick out two points that we can use for the slope equation. I see (0,2) and (-2,5) as two possibilities. Now, we just plug them into the slope equation. Remember that the slope equation is
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
(the '2' and '1' are subscripts, not exponents)
Let's call our first point (0,2) x1 and y1. (-2,5) can be the second point.
If we plug this into the equation:
[tex]m=\frac{5-2}{-2-0}[/tex]
Now we just simplify and get
[tex]m=\frac{3}{-2}[/tex]
Our slope is [tex]-\frac{3}{2}[/tex].
I hope this helps!
___________ is the measure of the value of a section of the stock market and is computed from the price of selected stocks.
Answer:
stock index
Step-by-step explanation:
Answer:
stock index is the measure of the value of a section of the stock market and is computed from the price of selected stocks. (Please mark me brainliest)
Step-by-step explanation:
y=3/8x−4 Write the equation in standard form.
Answer:
Step-by-step explanation:3x-8y=32
Lines AB and MN intersect at P.
N
A
(3x + 24)
(9x - 54)
P
B
M
What is the value of x?
Answer:
x = 13
Step-by-step explanation:
To solve for x, we set equations (9x - 54) and (3x + 24) equal to each other because the angles are equal
(9x - 54) = (3x + 24); add 54 to both sides
9x = 3x + 78; subtract 3x from both sides
6x = 78; now divide by 6
x = 13
A health insurance policy requires that each
person covered pay the first $300 of a bill and
then 0.2 times the rest of the bill. Fran is
covered by this policy and had to pay $500.
What was her total bill?
1)
Which number is NOT in the solution set of x + 8 > 15?
A)
6
B)
8
C)
10
D)
12
Answer:
A) 6
Step-by-step explanation:
x + 8 > 15
x > 15 - 8
x > 7
8, 10, and 12 are all greater than 7. 6 is NOT
Answer: is A because 6+8=14 when the rest of the choices are bigger then 15
Graph the system of inequalities . Which two quadrants does the solution lie in?
someone help a brotha out
Answer:
Quads 1 and 2
Step-by-step explanation:
Option A or quadrants 1 and 2 is the correct answer:)
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
The required equation will be in the form y = Ae^kt
where:
k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.If High School A currently has 850 students and is projected to grow by 35 students each year, hence;
A = 850k = 35 (growth factor)Substituting into the formula, we will have:
y = 850e^35t
If High School B currently has 700 students and is projected to grow by 60 students each year, hence;
A = 700k = 60 (growth factor)Substituting into the formula, we will have:
y = 700e^70t
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
Learn more on exponential function here: https://brainly.com/question/12940982