[tex] - 4w - 2 = |6w + 20| [/tex]
Answer:- Steps:- Part 1:-[tex] - 4w - 2 = |6w + 20| \\ - 4w - 2 = 6w + 20 \\ - 2 - 20 = 6w + 4w \\ - 22 = 10w \\ \frac{ - 22}{10} = w \\ \frac{ - { \cancel{22}}^{ \: \: 11} }{ \cancel{10}^{ \: \: \: 5} } = w \\ \frac{ - 11}{5} = w[/tex]
Part2:-[tex] - 4w - 2 = |6w + 20| \\ - 4w - 2 = | - (6w + 20)| \\ - 4w - 2 = - 6w - 20 \\ 6w - 4w = - 20 + 2 \\ 2w = - 18 \\ w = \frac{ - 18}{2} \\ w = \frac{ - \cancel{18}^{ \: \: 9} }{ \cancel2} \\ w = - 9[/tex]
Let A= { 10,11,12,13}
n(A)
The number of non-empty subsets of A
The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.
In the question, we are given a set A = {10, 11, 12, 13}.
We are asked for the cardinal number of the set n(A).
Also, we are asked for the number of non-empty subsets of A.
The cardinal number of any set A is given as n(A), which represents the number of elements in set A.
For the given set A = {10, 11, 12, 13}, the number of elements are 4.
Thus, the cardinal number of the set A is, n(A) = 4.
The number of non-empty subsets of any set A, with cardinal number n, is given by the formula, 2ⁿ - 1.
The given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4.
Thus, the number of non-empty subsets of set A = 2⁴ - 1 = 16 - 1 = 15.
Thus, the given set A = {10, 11, 12, 13}, has the cardinal number n(A) = 4, and it has 15 non-empty subsets.
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How do I answer this?
Answer:
1 = 73°
2 = 58°
3 = 107°
4 = 49°
5 = 131°
During the first seconds after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate. Suppose a penny is dropped from a skyscraper and could travel 153 kilometers in
1
2
hour at a constant rate. Which of these objects has a faster unit rate per hour? How much faster?
The , 1 of 2.
Select Choice
has a faster unit rate per hour. It travels about , 2 of 2.
Select Choice
kilometers per hour faster.
Using the relation between velocity, distance and time, it is found that the penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
v = d/t.
The rocket traveled 208 kilometers in 50 minutes = 5/6 of an hour, hence it's velocity, which is the unit rate, is given by:
v = 208/(5/6) = 208 x 6/5 = 249.6 km/hour.
The penny travels 153 kilometers in a half an hour, hence it's velocity is given by:
v = 153/0.5 = 306.
306 > 249.6, 306 - 249.6 = 56.4, hence:
The penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.
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Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression. Answer exactly. 4 sin 30 ∘ =
The expression is simplified to 2
How to determine the valueIt is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.
From the table of exact values, we have that;
sin 15 = 0. 25
sin 30 = 0. 5000
sin 45 = 0. 7071
sin 60 = 0. 8600
sin 75 = 0. 9659
sin 90 = 1
To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000
4 sin 30°
⇒ 4 × 0. 5000
multiply through
⇒ 2
The value determined is 2
Thus, the expression is simplified to 2
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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
Question 10a
Fred and Nancy had dinner at a French restaurant. The cost of all their food, without
tax, was $62. The meal tax imposed by the state is 0.06 times the bill. How much was
the total bill, including tax?
Answer:65.72
Step-by-step explanation: first you multiply 62 x 0.06 which is 3.72 and you add 3.72 to 62 which is 65.72
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)
3.875 divded by 8 and 46.96 divded by 15
Answer: 3.6150416666
Step-by-step explanation: Please brainiest
Answer:
3.875 ÷ 8 = 0.484375
46.96 ÷ 15 = 3.1306666667
Hope this helps :)
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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Algebraic fraction equations
Solving question
Step-by-step explanation:
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Help help i need help asp please i do not understand it see photo please
The bainters are considering a rental home with
• $1,190 monthly rent at move-in with a 1.7% increase each year
• an annual $75 cleaning fee
• an annual $450 pet fee
• an estimated monthly $17 fee for renters’ insurance
1. How do you determine how much is spent on housing for any given year?
2. Approximately how much will the Bainters spend to rent the house after the 1st year. 5th year, 10th year, and 15th year?
Your 2 answers should include
• an explanation of how to find the amount spent on housing in one year.
• for each of the given times ( 1 year, 5 years, 10 years, and 15 years)
- the monthly rent, rounded to the nearest whole dollar
- the calculations to find the total amount the Bainters will spend for the year
The year 1 housing cost is $15,009.00, which includes rent , pet fee, cleaning fee and fee for renters’ insurance
What is annual housing cost?
The annual housing cost for bainters comprises the annual rent, cleaning fee, pet fee as well as the renters’ insurance, hence, the sum of all the listed cost components form the annual spend on housing for any given year
Year 1:
rent=$1190*12=$14,280
cleaning fee=$75
pet fee=$450
renters’ insurance=$17*12=$204
Year 1 housing cost=$14,280+$75+$450+$204
Year 1 housing cost=$15,009.00
Year 5 housing cost=$14,280*(1+1.7%)^4+$75+$450+$204
Year 5 housing cost=$16,005.08
Year 10 housing cost=$14,280*(1+1.7%)^9+$75+$450+$204
Year 10 housing cost=$17,348.46
Year 15 housing cost=$14,280*(1+1.7%)^14+$75+$450+$204
Year 15 housing cost=$ 18,809.96
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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.
The greatest amount of rainfull is time as great as the least amount of rainfull
Answer:
16 times
Step-by-step explanation:
The question is asking :
what number multiplied by the least amount would give me the greatest amount?? Let that number be x, so we can say:
least amount * x = greatest amount
From the plot, we can see that the least amount is 1/8 inches
The greatest amount is 2 inches now we can put it into the formula and find x:
1/8 * x = 2
x = 2/(1/8)
x = 16
please help
please hurry
Answer:
Step-by-step explanation:
the last option
What is the purpose of a compass? Select all that apply.
*
It draws circles.
It is a handy hole punch.
It measures a set distance once locked in place.
It measures the degrees of an angle.
Jalen reads at a rate of 250 words per minutes. The novel he is reading has an average of 300 words per page. How long should Jalen expect it to take him to read a 15-page chapter?
Answer:
18 minutes
Step-by-step explanation:
1. 300 * 15 = 4500 (How many words in total)
2. 4500/250 = 18 (Number of words divided by speed of his reading)
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 370 minutes, the monthly cost will be $76. If the customer uses 750 minutes, the monthly cost will be $114.
A) Find an equation in the form
y
=
m
x
+
b
,
where
x
is the number of monthly minutes used and
y
is the total monthly of the Ringular plan.
Answer:: y = ([tex]\frac{1}{10}[/tex])x +39
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 370 minutes, the monthly cost will be $76. If the customer uses 750 minutes, the monthly cost will be $114.
(370,76) and (750,114)
A) Find an equation in the form y=mx+b, where x is the number of monthly minutes used and y is the total months of the Regular plan.
slope =[tex]\frac{(114-76}{(750-370)}[/tex] = [tex]\frac{38}{380}[/tex] = [tex]\frac{1}{10}[/tex]√
y = MX + b
Solve for "b"
114 = ( [tex]\frac{1}{10}[/tex])750 + b
114 = 75 + b
b = 39
Answer:: y = ([tex]\frac{1}{10}[/tex])x +39
Customers and customers may or may not be the same thing, but they are two different things. A customer uses the products that a customer has purchased. An ultimate client could also be a consumer, but they might also have bought things for someone else to consume. A middle customer is not at all a consumer. The situation is rather convoluted because final consumers of so-called industrial goods and services are theoretically also consumers because they either consume the goods and services individually or incorporate them into other finished products. They are more frequently referred to as industrial customer or business-to-business customers instead. Similar to how few people refer to clients who purchase services as consumers
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Describe the transformation required to obtain the graph of the function f(x) from the graph of the function G(x) f(x)=cos x/3; g(x)=cos x
The transformation required to obtain the graph of the function f(x) from the graph of the function g(x) is by stretching the function g(x) horizontally by 3.
What is Transformation of Functions?When a function is transformed, the curve that represents the graph either "moves to the left/right/up/down," "it expands or compresses," or "it reflects." By moving, extending, compressing, or reflecting the curve rather than directly graphing the function from scratch, function transformations are particularly useful for graphing the functions.
Given:
[tex]f(x) =[/tex] [tex]cos(\frac{x}{3} )[/tex]
[tex]g(x) = cos x[/tex]
As g(x) is the parent function of f(x)
⇒ [tex]f(x) = g( \frac{x}{3})[/tex]
given function [tex]g(x) = cos x[/tex]
Substituting the value of x as [tex]\frac{x}{3}[/tex]
we get,
⇒ [tex]g(\frac{x}{3} ) = cos (\frac{x}{3} )[/tex]
Therefore, the transformation required to obtain the graph of the function f(x) from the graph of the function g(x) is by stretching the function g(x) horizontally by 3.
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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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GRAPH NUMBERS ON A NUMBER LINE
Identify the point on the number line that matches each number.
30. - 0.5
31.2.5
32.-3
A.
B с D
+
-3 -2 -1
А
0
E
1 2 3
Answer:
W2z
Step-by-step explanation:
becuase
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
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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About 365 kg paper can be made from a single
tree. A ream (500 sheets) of paper weighs about
2.3 kg.
(a) How many sheets of paper can a single tree
be made into?
Answer:
A single tree can be made into 730 sheets of paper.
Step-by-step explanation:
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At Jackson High School, the ratio of teachers to students is 1 to 40. Which of the following could be the total number of teachers and students in this schol
The option that could be the total number of teachers and students in this school is C. 496.
How to calculate the value?It should be noted that from the information given, at Jackson High School, the ratio of teachers to students is 1 to 40.
In this case, based on the information, the option that illustrates the information will be 496.
In this case, 12 + 480 = 496
It should be noted that 12/480 = 1/40. This illustrates the ratio 1:40.
Therefore, the correct option is C.
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At Jackson High School, the ratio of teachers to students is 1 to 40. Which of the following could be the total number of teachers and students in this school?
240
520
496
88
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].
Why can you rewrite 14^0 as 1?
[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]
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.).
Find the measurement indicated in each parallelogram.
The required measure of the angle K is 110° and the simplified value of the x is 6.
Here,
In a parallelogram sum of the adjacent angle is 180°, So
18x + 2 + 70 = 180
18x + 72 = 180
18x = 180 - 72
18x = 108
x = 6
Now, angle k
= 18x + 2
= 18 * 6 + 2
= 110
Thus, the required measure of the angle K is 110° and the simplified value of the x is 6.
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