Answer:350
Step-by-step explanation:
(7 x 10^7)/(2 x 10^5)=350
70000000/200000=350
[tex]\int\limits {\frac{2x^7}{x^4+4}} \, dx[/tex]
[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx[/tex]
Let [tex]u=x^4 + 4[/tex] and [tex]du=4x^3\,dx[/tex]. Then
[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx = \frac14 \int \frac{2(u-4)}u \, du \\\\ ~~~~~~~~ = \frac12 \int \left(1 - \frac4u\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(u - 4\ln|u|\right) + C \\\\ ~~~~~~~~ = \frac12 \left(x^4 +4 - 4\ln\left|x^4+4\right|\right) + C \\\\ ~~~~~~~~ = \boxed{\frac{x^4}2 - \ln\left(x^4+4\right)^2 + C}[/tex]
B. Write each set using Set Builder Notation.
1. A = {5, 10, 15, 20, 25, 30}
2. B = {red, orange, yellow, green, blue, indigo, violet}
3. C = {Monday, Tuesday, Wednesday, Thursday, Friday}
4. D = {u, n, i, v, e, r, s}
5. E = {January, March, May, July, August, October, December}
Answer:
A = { Multiples of five }
B = { colours of rainbow }
C = { day's of week }
D = { letters of universe }
E = { months of a year }
Step-by-step explanation:
please make my answer as brainelist
Stage 1: Cartesian Plane INFORMATION: A Cartesian Plane is used for sketching Graphs as well as to perform transformations. 1.1 Describe the features of a Cartesian Plane in terms of its axes, the direction of the axes and its centre.
A cartesian plane is a plane with two axes namely x axis and y axis.
A Cartesian plane is a graph with one x-axis and one y-axis and thus is also sometimes known as a x y graph.
These two axes are perpendicular to each other that is they form an angle of 90° with each other.
The origin (O) is in the exact center of the graph and is the point where the two axes intersect.
Numbers to the right of the zero on the x-axis are positive and the numbers to the left of zero are negative. ( as the case in number line as well)
Similarly, the number on the top of the center on y axis are positive and the numbers below are negative.
It can be used to represent any 2 D figure.
Therefore, a cartesian plane is a plane with two axes namely x axis and y axis.
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The supply and demand for a product are given by
2p − q = 60 and pq = 100 + 25q,
respectively. Find the market equilibrium point
The market equilibrium point will be at a price of 70 and the quantity of 80.
How to calculate the equilibrium?From the information, the supply and demand for a product are given by 2p − q = 60 and pq = 100 + 25q.
From 2p − q = 60
q = 2p - 60
Substituting this in pq = 100 + 25q.
p(2p - 60) = 100 + 25(2p - 60)
2p² - 70p = 100 + 50p - 1500
2p² - 70p - 50p - 100 + 1500 = 0
2p² - 120p + 1400 = 0
Divide through by 2
p² - 60p + 700 = 0
p² - 70p + 10p - 700 = 0
p(p - 70) + 10(p - 70) = 0
p - 70 = 0
p = 0 + 70 = 70
Since 2p − q = 60
2(70) - q = 60
140 - q = 60
q= 140 - 60 = 80
Therefore, the market equilibrium point will be at a price of 70 and the quantity of 80.
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Pls answer this I will mark the brainliest
need solution
A basket of fruits, which is on a top of a 1.5m high table has a GPE of 44.12. What is the mass of the basket of fruits?
Answer:
3.00 kg (2 d.p.)
Step-by-step explanation:
Gravitational Potential Energy (GPE): Energy stored in a mass due to its position. The amount of GPE an object has depends on its mass and its height above the ground.
[tex]\large\boxed{\textsf{GPE}=mgh}[/tex]
where:
GPE = gravitational potential energy in joules (J).m = mass in kilograms (kg).g = gravitational field strength in newtons per kilogram (N/kg).h = change in height in meters (m).Given:
GPE = 44.12 Jg = 9.8 N/kgh = 1.5 mSubstitute the given values into the formula and solve for m:
[tex]\implies 44.12=m \times 9.8 \times 1.5[/tex]
[tex]\implies 44.12=14.7m[/tex]
[tex]\implies m=\dfrac{44.12}{14.7}[/tex]
[tex]\implies m=3.001360544...[/tex]
[tex]\implies m=3.00\:\:\sf kg\:(2\:d.p.)[/tex]
Therefore, the mass of the basket of fruits is 3.00 kg (2 d.p.).
Let [tex]I=\int\limits^4_{-2} {x^4cos(x^5+2)} \, dx [/tex]. Use the substitution [tex]u=x^5+2[/tex] to convert [tex]I[/tex] into an equivalent integral in the variable [tex]u[/tex].
If [tex]u=x^5+2[/tex], then [tex]du=5x^4\,dx[/tex], so the integral transforms to
[tex]\displaystyle \int_{x=-2}^{x=4} x^4 \cos(x^5+2) \, dx = \frac15 \int_{u=-30}^{u=1026} \cos(u) \, du[/tex]
since
[tex]x = -2 \implies u = (-2)^5 + 2 = -32 + 2 = -30[/tex]
[tex]x=4 \implies u = 4^5 + 2 = 1024 + 2 = 1026[/tex]
A fair spinner is used with four equal sections numbered 1,2,3,4. Assume that the pointer cannot land on a line. But the spinner is spun only once. Determine the probability. P(2 or even)
Probability of getting a 2 or even(4) is expected outcomes divided by total outcomes(4). The answer is P(2 or even)= 2/4 = 1/2.
A fair spinner is used with four equal sections numbered 1,2,3,4.
Probability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. Probability of an Event. Assume an event E can occur in r ways out of a sum of n probable or possible equally likely ways. Then the probability of happening of the event or its success is expressed as; P(E) = r/n. The probability that the event will not occur or known as its failure is expressed as: P(E’) = (n-r)/n = 1-(r/n).
P(2) = expected outcomes/total number of outcomes
=> 1/4
P( even:4) = 1/4
So; P(2 or even)= 1/4 + 1/4 = 2/4 or 1/2
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Answer:
Expected results are divided by total outcomes to determine the probability of getting a 2 or even (4). (4). P(2 or even) = 2/4 = 1/2 is the response.
Step-by-step explanation:
There are four equal portions on a fair spinner, designated 1, 2, 3, and 4.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution. the likelihood of an event. Assume that there are n probable or plausible equally likely ways for an event E to occur. Then, P(E) = r/n is used to represent the likelihood that the event will occur or that it will be successful. P(E') = (n-r)/n = 1-(r/n) denotes the chance that the event will not occur, also known as its failure.
P(2) = expected outcomes/total number of outcomes
=> 1/4
P( even:4) = 1/4
So; P(2 or even)= 1/4 + 1/4 = 2/4 or 1/2
In the figure below, m2=58°. Find m/1.
K
J
2
¹ = 0⁰
m41:
Step-by-step explanation:
∠ 2 = 58°
∠ 2 +∠ 1 = 180° ( being straight angle )
58° + ∠ 1 = 180°
∠ 1 = 180- 58°
∠ 1 = 122°
☘☘☘...
How do I answer this?
Answer:
1 = 73°
2 = 58°
3 = 107°
4 = 49°
5 = 131°
Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were
79
,
77
, and
91
. What is the minimum score you need on the fourth test to get an B for the course?.
The minimum score you need on the fourth test to get a B is 146.
What is the minimum score you need on the fourth test to get an B for the course?To get a B, you need to get an average of 80% in all four scores.
The first 3 tests have a total of 100 points, and you got:
79, 77, and 91
So the percentage that you got in these 3 tests is:
79%, 77%, 91%
Now, let's say that X is the percentage you get in the last test, we must have that the average is 80%, then:
(79% + 77% + 91% + X)/4 = 80%
Solving that for x, we will get:
X = 4*80% - $79 - 77% - 91% = 73%
So you need to get at least a 73% of the last test, and that test has 200 points, so you need to get:
P = 0.73*200 = 146
The minimum score you need on the fourth test to get a B is 146.
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The minimum score needed on the fourth test to get a B grade for the course is; 153 points.
What is the minimum score required for a B ?It follows from the task content that the first 3 tests attract 100 points each while the fourth test attracts 200 points. On this note, it follows that the total number of points attainable is; 500 points.
To get 80%, one must get; (80/100) × 500 = 400 points.
Hence, the minimum score needed on the fourth test to get a B is; 400 - 79 - 77 - 91 = 153 points.
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Does the point (-4, -81) satisfy the equation y=19x + -5?
Answer: Yes, the point (-4, -81) does satisfy the equation.
Step-by-step explanation:
1) Plug in x and y values: -81 = 19(-4) + (-5)
2) Solve above equation: -81 = -76 - 5
-81 = - 81
The equality is true because both sides are identical.
A train travels 900 miles in 9 hours. How long
will it take the train to travel 1150 miles?
Answer:
11.5 [h].
Step-by-step explanation:
1) if the unknown time is 't', then
2) it is possible to make up the equation:
[tex]\frac{900}{9} =\frac{1150}{t};[/tex]
3) if to solve this equation, then t is:
t=1150*9/900=1150/100=11.5 [hours].
William travels only on Saturdays and Sundays and has flown 400 miles this month. Jason travels every weekday and has flown 500 miles this month. Who travels more miles per day for this month? Explain.
Answer:
Step-by-step explanation:
Convert the decimal 0.65 to a fraction in its lowest terms.
Answer:
The correct fraction is 13/20.
Step-by-step explanation:
[tex].65 = \frac{65}{100} = \frac{13}{20} [/tex]
Apply 2-point rubric
1. Sandy earns $9.00 per hour working at a department store. If she works
for 6 2/5 hours, how much money will Sandy earn? Show your work.
Find the value of x.
26
X
X
x = [?]°
Answer:
x=77° each
Step-by-step explanation:
180-26=154°
154÷2=77°
x=77° each
hope that helpes
Given the following functions, find the indicated values.
Answer:
(a) f(-3) = 27
(b) f(0) = 6
(c) f(4) = -22
Step-by-step explanation:
To solve, we will input x as -3 into the function.
f(x) = 6 - 7x
f(-3) = 6 - 7(-3)
f(-3) = 27
We will do this for the other values as well.
f(x) = 6 - 7x
f(0) = 6 - 7(0)
f(0) = 6
-
f(x) = 6 - 7x
f(4) = 6 - 7(4)
f(0) = -22
A straight railway track passes through the coordinates (8, 3) and (12, 1). What is the
slope of the line for the path the track?
(2 points-1 point showing work, 1 point correct slope)
Answer:
[tex]-\dfrac{1}{2}[/tex]
Step-by-step explanation:
Slope Formula
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Where (x₁, y₁) and (x₂, y₂) are points on the line.
Given points:
(x₁, y₁) = (8, 3)(x₂, y₂) = (12, 1)Substitute the given points into the formula and solve for m:
[tex]\implies \textsf{slope}\:(m)=\dfrac{1-3}{12-8}=\dfrac{-2}{4}=-\dfrac{1}{2}[/tex]
Therefore, the slope of the line for the path of the track is -¹/₂.
I’m trying to show my grand daughter how to get to the correct answer. Can you show me how you got the answer to 40.99*2.1=
hmmm when it comes to doing operations with decimals, we can hmmm say for this case, the product, we can just toss the dot and perform the multiplication straight up with only 4099 * 21, and then we'll include the decimal point.
[tex]40.\underline{99}\times 2.\underline{1} \\\\[-0.35em] ~\dotfill\\\\ 4099\times 21\implies \begin{array}{rllll} 4099\\ \times 21\\\cline{1-1} 4099\\ +8198~~\\ \dotfill\\ 86079 \end{array}\hspace{5em}86\underline{079}\implies 86.079[/tex]
now, let's notice, our product was really 86079, then we go back, 40.99 has two decimals, and 2.1 has one decimal, so we have a total from both of three decimals, so our product must have also three decimals, so we move the dot from the right to the left by 3 slots.
After expenses of $52 were paid, a club donated $880 in proceeds from a pancake breakfast to a local health clinic. How much did the pancake breakfast gross?
Based on the expenses, and the club donations, it can be inferred that the amount that the pancake breakfast grossed was $932.
What is the gross income?Gross income refers to the amount that a company, project, or individual makes from sales before they have to withdraw their expenses.
In this case, the gross amount that the pancake business grossed was:
Amount of proceeds = Gross amount - Expenses
Gross amount = Amount of proceeds + Expenses
Solving for the gross from the pancake business gives:
= 880 + 52
= $932
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I'm confused can someone teach me how to solve this?
Answer:f(x)=-1
F(x)=-2(-1)-3=-1
Who can help me X/x+5=6/x
Answer:
X=6x+30/x
Step-by-step explanation:
just simplify
Answer:
x = 3 ± √(39)
Step-by-step explanation:
x 6
----- = -------
(x+5) x
We can solve using cross products
x * x = 6(x+5)
x^2 = 6x+30
Subtract 6x from each side
x^2 -6x= 6x+30-6x
x^2 -6x= 30
Subtract 30 from each side
x^2 -6x -30 = 30-30
x^2 -6x -30 =0
Using the quadratic formula
x = -b ± √(b^2 -4ac)
-------------------------
2a
where a=1 b = -6 and c = -30
x = -(-6) ± √((-6)^2 -4(1)(-30))
-------------------------
2(1)
x = 6 ± √(36 +120)
-------------------------
2
x = 6 ± √(156)
-------------------------
2
x = 6 ± √(4*39)
-------------------------
2
x = 6 ± 2√(39)
-------------------------
2
x = 3 ± √(39)
issac and his friends pitched 4 trekker tents in 60 minutes on a camping site. how long will they take to pitch 5 tents?
Answer: 75
Step-By-Step Explanation. 60 / 4 = 15, it takes 15 minutes for each tent.
15 x 5 = 75
so it takes them 75 minutes to do 5 tent
tell me if i'm wrong and if so tell me what the right answer was have a nice day
Luisa Hernandez has a family membership in her company's traditional group medical insurance program.
The total cost is $12,988 annually and the employer pays 25% of the total cost. She also pays the optional
annual dental premium of $980 and the optional vision premium of $324. Her contribution is deducted
biweekly from her paycheck. a) How much is her total annual contribution? b) How much is her biweekly
contribution?
The total annual contribution will be $8437 and the biweekly contribution is $450.
What is insurance?An effective way to guard against financial loss is insurance. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.
Given that the total cost is $12,988 annually and the employer pays 25% of the total cost. She also pays the optional annual dental premium of $980 and the optional vision premium of $324.
The annual contribution will be calculated as below:-
Annual contribution = 12988 - 3247 - 980 - 324
Annual contribution = $8437
The biweekly contribution will be calculated as below:-
Biweekly contribution = ( 12988 / 26) - ( 980 / 26 ) - ( 324 / 26 )
Biweekly contribution = 500 - 37.6 - 12.46
Biweekly contribution = $450
Therefore, the total annual contribution will be $8437 and the biweekly contribution is $450.
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One could calculate an affordable monthly rate for rent and expenses by dividing annual income by 12 and calculating 30% of that figure
write this as an equation
One popular rule of thumb is the 30% rule,
which says to spend around 30% of your gross income on rent.
So if you earn $2,800 per month before taxes,
you should spend about $840 per month on rent.
To calculate,
simply divide your annual gross income by 40 - if you make $120,000 a year, you can spend $3,000 on rent.
An equivalent is the 30% rule, meaning that you can put 30% of your annual gross income in rent.
If you make $90,000 a year, you can spend $27,000 on rent, and so your monthly rent will be $2,250.
Typically, the rents that landlords charge fall between 0.8% and 1.1% of the home's value.For example, for a home valued at $250,000, a landlord could charge between $2,000 and $2,750 each month.
If your home is worth $100,000 or less, it's best to charge rent that's close to 1% of its value.
To determine daily rent, the total number of days are divided by the monthly rent.
The daily rent is then multiplied by the number of days the tenant occupies the property.To get an appropriate calculation for how much each roommate should pay depending on the size of their room, take the square footage of each room and divide by the total square footage of the apartment. This will give you a percentage for the size and value of each room, which you can apply to the total cost of rent.
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Write the rate as a fraction in simplest form.
270 robberies per 200,000 residents
Select the correct answer below and fill in the answer boxes to complete your choice.
(Simplify your answers.)
A. The rate written as a fraction in simplest form is
27/20000 is the rate as a fraction in simplest form.
In math, what is a fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.Which fraction types are there?
There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions.270 robberies per 200,000 residents in fraction form = 270/200000
= 27/20000
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what is
9.4 divided by 10 to the 2nd power
Select the coordinates of point X on AB that is 1/5 of the distance from A to B
Please help it due soon
A) (3,5, -2.2)
B) (-3.6,2,2)
C) (-3.6,-2.2)
D)(3.6,2.2)
Answer:
c
Step-by-step explanation:
Tony, Ali, and Natasha have volunteered to bring chips to a barbecue. Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag. What fraction of the total number of bags of chips is Ali bringing?
The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2.
What is a fraction?The fraction is the division of the two numbers but the division is not wholly complete.
The upper word is called numerator while the lower term is called the denominator.
Given that,
Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag.
Number of total bags = 2 + 3 + 1
⇒ 6
The number of bags that Ali brought = 3 bags.
Fraction of bag's that Ali brought = The number of bags that Ali brought / Number of total bags
⇒ 3/6 = 1/2
Hence "The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2".
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A machinist has 13 wrought-iron rods to mill. Each rod weighs 24 oz. What is the total weight of the rods in pounds? (Enter your answer as a simplified mixed number.)
