Answer:
C. 21
Step-by-step explanation:
5 times of x is 5x.
5x + 10 = 35
Remove 10 from both sides to get one side x, and the other side a number.
5x + 10 - 10 = 35 - 10
5x = 25
Both sides of the equation can be divided by 5.
x = 5
3 times of x is 3x.
3x + 6
Substitute in x = 5 from the earlier working.
3(5) + 6
= 15 + 6
= 21
Therefore, the result of 3 times x added to 6 is 21.
Hope this helped! ^^
Solve the inequality.
-2.5w<6.8
W>?
Answer:
-2.5w<6.8
-2.5w/-2.5<6.8/-2.5
w>-2.72
Triangle ABC is a right triangle and cos(22.6o)=StartFraction b Over 13 EndFraction. Solve for b and round to the nearest whole number.
Triangle A B C is shown. Angle A C B is 90 degrees and angle C A B is 22.6 degrees. The length of hypotenuse A B is 13 centimeters, the length of A C is b, and the length of C B is a.
Which equation correctly uses the value of b to solve for a?
tan(22.6o) = StartFraction a Over 13 EndFraction
tan(22.6o) = StartFraction 13 Over a EndFraction
tan(22.6o) = StartFraction a Over 12 EndFraction
tan(22.6o) = StartFraction 12 Over a EndFraction
In the given triangle ABC right angled at C and [tex]AC = b[/tex] and [tex]CB = a[/tex], the equation using value of b used for solving for a will be [tex]tan(22.6degrees) = \frac{a}{12}[/tex].
According to the question statement, Triangle A B C is shown. Angle A C B is [tex]90[/tex] degrees and angle C A B is [tex]22.6[/tex] degrees. The length of hypotenuse A B is [tex]13[/tex] centimeters, the length of A C is b, and the length of C B is a.
We are supposed to find the equation using value of b used for solving for a.
Solution: Given,
[tex]AB = 13cm\\AC = b\\BC = a\\Angle BAC = 22.6degrees[/tex]
If hypotenuse is 13cm then value of b is either 5 or 12 as per Pythagorean Triplet. As there is no value such as 5 in the given options we take the value of [tex]b=12 cm[/tex].
[tex]cos(22.6degrees) = \frac{b}{13} =\frac{12}{13} \\sin(22.6degrees) = \frac{a}{13}\\[/tex]
Using the above two equations,
[tex]tan(22.6degrees)=\frac{a}{b} \\b=12\\tan(22.6degrees)=\frac{a}{12}[/tex]
Therefore option three "tan(22.6o) = StartFraction a Over 12 EndFraction" is the correct answer.
Pythagorean Triplet: If a, b and c are three sides of a right angled triangle, c being the hypotenuse then [tex]a^{2} +b^{2} =c^{2}[/tex] and a and b being either of the base and perpendicular.To learn more about Pythagoras theorem, click on the link given below:
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Answer: C tan (22.6)=a/12
Step-by-step explanation: edge 2023
Find a general solution. show the steps of derivation. check your answer by substitution.y'=e^(2x-1)y^2
The general solution of the given equation is y² = 8x²Inx + cx².
Linear first order differential equation:A first-order linear differential equation is one that has the formula:
[tex]\frac{d y}{d x}+p(x) y=q(x)[/tex]
where p(x) and q(x) are continuous functions of x.
We begin by determining the integrating factor for the first-order linear differential equation.
I.F. = [tex]e^{\int p(x) d x}[/tex]
The solution to the first order linear differential equation is:
[tex]y \cdot e^{\int p(x) d x}=\int q(x) \cdot e^{\int p(x) d x} d x+c .[/tex]
Where c is the constant of integration.The solution to the first order linear differential equation is:
[tex]\int \frac{1}{x} d x=\ln x+c[/tex]
Where c is the constant of integration.So, given: [tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]
The above differential equation can be written as:
[tex]\begin{aligned}&\frac{d y}{d x}=4 \frac{x}{y}+\frac{y}{x} \\&\frac{d y}{d x}-\frac{y}{x}=\frac{4 x}{y} \\&y \frac{d y}{d x}-\frac{y^2}{x}=4 x\end{aligned}[/tex]
Substitute, [tex]y^2=t, 2 y \frac{d y}{d x}=\frac{d t}{d x}[/tex].
[tex]\begin{aligned}&\frac{1}{2} \frac{d t}{d x}-\frac{t}{x}=4 x \\&\frac{d t}{d x}-\frac{2 t}{x}=8 x\end{aligned}[/tex]
Because this is a first-order linear differential equation, we must first determine the integrating factor:
[tex]\text { I. F. }=e^{-2 \int \frac{1}{x} d x}=e^{-2 \ln x}\\\text { I.F. } F=\frac{1}{x^2}[/tex]
As a result, the following is the general solution to the given IVP:
[tex]$$t \cdot(I . F .)=\int(I . F .) \cdot 8 x d x+c$$$t \cdot\left(\frac{1}{x^2}\right)=\int\left(\frac{1}{x^2}\right) \cdot 8 x d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \int \frac{1}{x} d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \ln x+c$$t=8 x^2 \ln x+c x^2$[/tex]
By reversing the value of t:
[tex]y^2=8 x^2 \ln x+c x^2[/tex]
We now test the solution by substituting [tex]y^2=8 x^2 \ln x+c x^2[/tex] it in the original differential equation.
[tex]\begin{aligned}&\frac{d}{d x}\left(y^2\right)=\frac{d}{d x}\left(8 x^2 \ln x+c x^2\right) \\&2 y \frac{d y}{d x}=16 x \ln x+8 x+2 c x \\&\frac{d y}{d x}=\frac{16 x \ln x+8 x+2 c x}{2 y} \\&\frac{d y}{d x}=\frac{8 x \ln x+4 x+c x}{y}\end{aligned}[/tex]
We calculated the value of [tex]y^2[/tex] and [tex]\frac{d y}{d x}[/tex] from the original differential equation:
[tex]\begin{aligned}&\frac{8 x \ln x+4 x+c x}{y}=\frac{4 x^2+8 x^2 \ln x+c x^2}{x y} \\&8 x \ln x+4 x+c x=8 x \ln x+4 x+c x .\end{aligned}[/tex]
Therefore, the general solution of the given equation is y² = 8x²Inx + cx².
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The complete question is given below:
For the following ODE, find a general solution, show the steps of derivation and check your answer by substitution.
[tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]
What is the difference between the t568a and t568b standards? when should you use both standards?what is a patch panel used for?which cable types are immune to the effects of emi?
The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.
When should you employ both the T568A and T568B standards and what are their differences?
The orange and green pair order is the only distinction between T568A and T568B. Because it offers backward compatibility with both one pair and two pair USOC wiring schemes, the T568A wiring pattern is acknowledged as the ideal wiring design for this standard.What is T568B standard?
Twisted-pair network cable can be terminated in eight-pin modular connector connectors and jacks according to the wiring standards T568A and T568B. One component of the TIA/EIA-568 telecommunications cabling standards is these wiring standards.Learn more about T568B standard
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The slope for a wheelchair ramp for a home has to be 1/2. if the vertical distance from the ground to the door bottom is 3 ft, find the distance the ramp has to extend from the home in order to comply with the needed slope. write your work in the answer box.
Answer:
6 ft
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] ( rise is vertical height and run is horizontal distance )
here vertical height = 3 and slope = [tex]\frac{1}{2}[/tex] , then
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{run}[/tex] ( cross- multiply )
run = 2 × 3 = 6 ft
The length of a rectangle is twice the width. The area of the rectangle is 58 square units. What is the length and width of the rectangle.
The length and width of the given rectangle is 10.77 and 5.385 respectively.
According to the question statement, The length of a rectangle is twice the width and the area of the rectangle is 58 square units.
We are supposed to find the length and width of the rectangle.
Before solving this we need to know that the area of the rectangle is the product of its length and width,
Let's assume the length be "l" and width be "w"
Therefore Area = l*w
Now as length is twice the width so [tex]l=2w[/tex]
Area = [tex]58 square units[/tex]
Therefore [tex]l*w=58\\[/tex]
but [tex]l=2w[/tex]
[tex]2w*w = 58\\2w^{2}=58\\w^{2} = \frac{58}{2} \\w^{2}= 29[/tex]
[tex]w=\sqrt{29} \\w=5.385[/tex]
as [tex]l=2w[/tex]
[tex]l=2*5.385\\l=10.77[/tex]
Hence length l = 10.77 unit and width w = 5.385 unit
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Solve 5/8(x+4)=0.25.
Use fractions to solve
and write your answer.
as a mixed number.
Answer: x = 3.6
Step-by-step explanation:
Combine multiplied terms into a single fraction
\frac{5}{8}(x+4)=0.25
\frac{5(x+4)}{8}=0.25
2 Distribute
3 Multiply all terms by the same value to eliminate fraction
4 denominators
5 Cancel multiplied terms that are in the denominator
6 Multiply the numbers
7 Subtract 20 from both sides
8 Simplify
9 Divide both sides by the same factor
10 Simplify
if theirs anything else you nead help with please asck
YW please mark branlest! =^.^=
Janet rents a booth at the farmers market that costs $150 a day. She sells jars of fresh honey from her family farm for $8 each. At the end of the day, she splits all the money she brings home with her mom who takes care of the bees. If j is the number of jars of honey sold, write a function f(j) representing how much money Janet makes each day.
The function which represents how much money Janet makes each day according to the task content is; (8j/2) - 150.
Which function represents how much money Janet makes each day?Given;
Booth rent = $150Cost of each honey jar = $8Number of jars sold = jAccording to the given parameters; the total amount of money made from honey sale is; $8 × j = $8j.
Hence, since she splits the money with her mom, it follows that her personal income is; $8j/2.
Ultimately, after paying $150 a day for the booth rental, the amount made by Janet is; $8j/2 - $150.
The required function, f(j) is therefore;
f(j) = (8j/2) - 150.
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If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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Evaluate the function.
f(x) = -x² + 7x
Find f(-1)
Answer: f(-1)=-8
Step-by-step explanation:
f(x) = -x² + 7x
f(-1)=-(-1)²+7(-1)
f(-1)=-1-7
f(-1)=-8
Identify one reason the lower class might be more heavily represented in official crime statistics.
Lower-level offenders are more likely to be prosecuted than higher-level offenders.
What is the Working class?The working class (or laboring class) is made up of people who work in manual labor or industrial work and are paid through waged or salaried contracts. Working-class occupations include blue-collar and most pink-collar jobs (see also "Designation of workers by collar color"). Members of the working class rely solely on wage labor earnings; thus, more inclusive definitions include almost all of the working age population of industrial nations, as well as those employed in non-industrialized economies' urban areas (cities, towns, villages) or in the rural workforce. Lower-level offenders are more likely than higher-level offenders to be prosecuted.Therefore, lower-level offenders are more likely to be prosecuted than higher-level offenders.
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Which data set is the most spread from its mean?
14, 26, 24, 28
O22, 16, 18, 36
O22, 28, 20, 22
O 21, 19, 27, 25
Option B (22,16,18,36)
Mean- Mean is an average of the data collected in the data set. It can be found by dividing the sum of the values by the number of values. Median is the middle value of the data set when the values are placed in order from least to greatest.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Add all the numbers (22+16+18+36) = 92
Avarage = sum of the all given numbers/ total numbers
total numbers =4
so avarage= mean= 92/4 =23
(22,16,18,36) has the most spread because one number as low as 16 and one as high as 36. Our mean is 23, so that means that the spread is huge.
Hence the answer is (22,16,18,36).
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The branch of statistical studies called descriptive statistics summarizes important aspects of a data set. True or false?.
Yes, The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.
Here,
We have to find the statement,
''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true or not.
What is Descriptive statistics?
Descriptive statistics is a means of describing features of a data set by generating summaries about data samples.
Now,
The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.
Because : Descriptive statistics refers to the summary of important aspects of a data set.
Hence, The statement ''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true.
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If f (x) = 3x - 1 and g (x) = x² + 1, find the following.
a) g(-4) + f(-2) =
b) f(1) - g(0) =
Will give brainliest and 5 star rating. Thank you. :)
The value of the functions are:
a. g(-4) + f(-2) = 24
b.. f(1) - g(0) = 1
What is a function?A function can be defined as an expression showing the relationship between two variables.
Given the functions;
f (x) = 3x - 1 g (x) = x² + 1g(-4); substitute the value of x as - 4 in g(x)
g(-4) = (-4)² + 1
g(-4) = 16 + 1
g(-4) = 17
f(-2); substitute the value of x as - 2 in f(x)
f(-2) = 3(-2) - 1
f(-2 = -7
a. g(-4) + f(-2) = 17 -(-7)
g(-4) + f(-2) = = 24
f(1) = 3(1) - 1
f(1) = 2
g(0) = (0)² + 1
g(0) = 1
b. f(1) - g(0) = 2 - 1
f(1) - g(0) = 1
Thus, the value of g(-4) + f(-2) and f(1) - g(0) are 24 and 1 respectively.
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Find the square root.
√16
√16 = ?
Describe two methods for assessing whether or not a distribution is approximately normal.
The two most frequent normality tests for assessing a normal distribution are Shapiro-test Wilk's and Kolmogorov-Smirnov test.
What is a normal distribution?
A probability distribution that is symmetric around the mean is referred regarded as having a "normal distribution." In certain instances, it is also referred to as the "Gaussian distribution." This demonstrates that data that are near to the mean are more common than data that are far from the mean.
The two most popular normality tests are the Kolmogorov-Smirnov test and the Shapiro-test Wilk's test.
Shapiro-Wilk test: This test looks at how normal the sample data are. To do this, the sample is organized and standardized (standardizing is the conversion of data).Kolmogorov-Smirnov test: The Kolmogorov-Smirnov test is used to assess if a sample comes from a population with a specific distribution.Therefore, Shapiro-and Wilk's Kolmogorov-Smirnov tests are the two normality tests used the most frequently to evaluate a normal distribution.
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A bus ride costs P11 for the first 4 kilometers, and each additional integer kilometers adds P2.00 to the fare. Use a piecewise function to represent the jeepney fare in terms of the distance d in kilometers.
The function which represents the jeepney fare in terms of the distance(d) in kilometers is F = 2x ₊ 3.
Given a bus ride costs 11 pesos for first 4 kilometers.
2.00 pesos for each succeeding kilometer.
Function of Fare (F) in terms of distance (d).
Let F represent the total fare and d represent the distance in kilometers.
F = rate of fare × distance
rate = 11 for 4 km, and 2 for each km
rate = 11, if x ≤ 4,
rate = 2, if (x₋4), and x > 4
hence the equation is:
F = 11 pesos, if x ≤ 4,
F = 11 ₊ 2(x₋4), if x > 4
Simplify the above equation.
F = 11 ₊ 2x ₋ 8
F = 2x ₊ 3
Hence we derived the function in terms of distance as F = 2x ₊ 3
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Sharon is twice as old as Brain. In 5 years, the sum of their ages will be 25 years. Find their present ages.
Please Mark as Brainliest
Answer:
Brian is 5, and Sharon is 10
Step-by-step explanation:
CURRENT AGES:
Let b = Brian's age
Let 2b = Sharon's age
5 YEARS FROM NOW:
b + 5 = Brian's age
2b + 5 = Sharon's age
The sum will be 25
b + 5 + 2b + 5 = 25
3b + 10 = 25
3b = 15
b = 5
So Brian is 5, and Sharon is 10
Im stuck can someone help?
Answer:
- p / 2
Step-by-step explanation:
4 / -8 = - 1/2
p^3 / p^2 = p
- 1/2 * p = - p / 2
a = 17.6 cm, b = 9.5 cm and c = 13.6 cm for the triangle shown below.
Answer: Click on this: a=13.6cm,b=9.5cm and c=2.6cm for the triangle show it has a step by step way
Step-by-step explanation:
(-1)^{3}]^{6} find the value of
The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
Exponent:
A number's exponent indicates how many times we multiply a number by itself. For example, [tex]3^{4}[/tex] indicates that we have multiplied 3 four times. The expanded form is 3×3×3×3. An exponent is also known as a number's power. It can be an integer, a fraction, a negative number, or decimals.
Law of Power of a Power: [tex](x^{a}) ^{b}[/tex]=[tex]x^{ab}[/tex] {Here a,b can be an integer, a fraction, a negative number, or decimals}
Given question is [tex](-1^{3}) ^{6}[/tex]
⇒[tex](-1^{3}) ^{6}[/tex]=[tex](-1)^{6.3}[/tex]{ using Law of Power of a Power}
⇒[tex](-1)^{18}[/tex]=1 { -1 raised any even number= positive one}
Therefore,The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1
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At a coffee shop, the first 100 customers'
orders were as follows.
Small Medium Large
Hot
5
48
22
Cold
8
12
5
If one of these customers has purchased a
large drink, what is the probability that it is
cold?
P( hot| Large ) = [?]
Round to the nearest hundredth.
Answer:
so there is a 5% change of or ordering a large cold drink
Step-by-step explanation:
first add the total of all drinks
5+48+22+8+12+5=100
the amount of large drinks that are cold are 5
so there is a 5% change of ordering a large cold drink
What is the sqaure root of 6475839
You put $1,000 into a savings account that pays 7% in annual interest. how much money will you have after 7 years if the account pays only simple interest?
The total amount in the bank account after 7 years will be $1490
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. The principal amount in simple interest is constant.
The formula for simple interest = (P*R*T)/100
where P = principal amount
R = rate of interest
T = time in years
As per the question,
P = 1000
R = 7%
T = 7 Years
Simple interest will be = (1000*7*7)/100 = $490
The amount of money in the savings account at the end of 7 years will be $1000 + $490 = $1490
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Which values are in the range of the function f(x) = -2x + 4 with a domain of (-6,0,6)
The range of the function is x∈[(-8 ,16)]
It is required to find the range.
What is function?A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
Given:
Since f(x) = -2x + 4 is linear, its limit values correspond to the limits imposed by the domain (in this case x∈[(-6 ,6)]
By put the value of x in the given function we get,
f(-6) = -2(-6) + 4
=12+4
=16
f(6) = -2*6 + 4
=-12+4
=-8
So the range is -8<x<16.
Therefore, the range of the function is x∈[(-8 ,16)]
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A popular car has an engine that is reported to have a
volume of 4320-
cm³
What is the size in
4320
cubic inches ?
The size of the car engine in cubic inches is 263.6 2 cubic inches
How to determine the size of the car engine in cubic inches?The given parameters are
Volume = 4320 cubic centimeters
By general conversion rule, we have
1 cubic centimeter = 0.0610237 cubic inches
Multiply both sides of 1 cubic centimeter = 0.0610237 cubic inches by 4320
4320 * 1 cubic centimeter = 0.0610237 cubic inches * 4320
Evaluate the product
4320 cubic centimeters = 263.6 2cubic inches
Substitute 4320 cubic centimeters = 263.6 2cubic inches in Volume = 4320 cubic centimeters
Volume = 263.6 2cubic inches
Hence, the size of the car engine in cubic inches is 263.6 2cubic inches
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Under her cell phone plan, Caroline pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $74 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Caroline can use while staying within her budget.
To stay within budget, she must use 3.9 gigabytes.
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $ 74 per month.
First, we need to establish the total cost formula:
Total cost= 54.5 + 5*x
x= number of gigabytes
Now, we isolate x:
74= 54.5 + 5x
19.5/5= x
3.9= x
To stay within budget, she must use 3.9 gigabytes
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29
Write the answer in the blank.
What number is 260 more than 450?
Answer: 710
Step-by-step explanation:
260 + 450 = 710
Answer:
We are looking for a new number which is 260 more than 450.
We will get the new number by adding 260 to 450.
We write it down as:
450+260=710
And finally the solution for: What number is 260 more than 450?
is 710
All Done!
Please answer!!!! Spending 100 points on this, so you get 50 points for solving. 1st person to tell me ALL 3 of the answers gets Brainliest!
Answer:
6
Step-by-step explanation:
Graph on the number line the following …. x >7 orx <-3
Answer:
Step-by-step explanation: Step 1: Make a table of that equation suppose x = 7. You can consider it like x+y = 7 in which x = will be 7 only and y will become 0.
Step 2: To answer this on a graph.. make all four quadrants and mark the coordinates such a the value of x = 7 should lie on the x-axis and y = 0 lies on the y-axis.
Step 3: Draw a straight line at the coordinates you got which were (7,0)
Here you go :)
