Answer:
[tex]y=\sqrt{\frac{x^{2}}{2} +34}[/tex]
Step-by-step explanation:
[tex]2y\left( x\right) y^{\prime }\left( x\right) =x[/tex]
[tex]\Longrightarrow \int 2y\left( x\right) y^{\prime }\left( x\right) dx=\int x\ dx[/tex]
[tex]\Longrightarrow y^{2}\left( x\right) =\frac{x^{2}}{2} +c\ \text{(c is a constant)}[/tex]
[tex]y\left( 2\right) =6\Longleftrightarrow y^{2}\left( 2\right) =36[/tex]
[tex]y^{2}\left( 2\right) =36\Longleftrightarrow \frac{\left( 2\right)^{2} }{2} +c=36\ \Longleftrightarrow c=34[/tex]
[tex]\Longrightarrow y\left( x\right) =\pm\sqrt{\frac{x^{2}}{2} +34}[/tex]
Solve for x. Round to the nearest tenth, if necessary.
Answer:
[tex]x = 0.2[/tex]
Step-by-step explanation:
In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.
[tex]recall: \: cosine = \frac{a}{h} \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41[/tex]
Therefore:
[tex] \cos(41) = \frac{x}{0.3} \\ \\ 0.75 = \frac{x}{0.3} \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x[/tex]
Since we were asked to round it to the nearest tenth, then the answer would be 0.2.
Answer:
x = 0.2
Step-by-step explanation:
Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3
To find value of x:
Solution: In angle DEF, angle E = 90°.
[tex] cos \: 41° = \frac{adjacent \: side}{hypotenuse} = \frac{DE}{DF} [/tex]
[tex]cos \: 41° \: = \frac{x}{0.3} [/tex]
x = 0.3 × cos 41° = 0.226 ≈ 0.2
Hence x = 0.2
HOPE THIS HELPS AND HAVE A NICE DAY <3
zolas mother spends 39 minutes braiding zolas hair she finishes at 7:52 what time did she start braiding zolas hair
In a company's first year in operation, it made an annual profit of $247,500. The
profit of the company increased at a constant 16% per year each year. How much
total profit would the company make over the course of its first 10 years of operation,
to the nearest whole number?
To calculate this sort of problem:
⇒ involves calculating the total profits over each year
⇒ with a constant increase periodically
⇒ need to use the Compound Interest Equation
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
A: total amount after t yearsP: initial amount in accountr: rate per periodn: number of times the profit increases per yeart: number of yearsLet's fill in some variables:
P: $247500r: 16% increase (in equation form, we plugin 0.16)n: 1 time per yeart: 10 yearsWhat do we want to know:
A: total amount after 10 yearsLet's solve:
[tex]A= 247500*(1+\frac{0.16}{1} )^{1*10}=\\A=247500*(1+0.16)^{10}\\A=247500*(1.16)^{10} \\A= 1,091,830.18[/tex]
To the nearest whole number
Answer: $1,091,830Hope that helps!
What is the length of the missing leg? if necessary, round to the nearest tenth.
don't know please clue question not written well
please answer question below asap!!
Answer:
175000
Step-by-step explanation:
If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.
A town with a population of 5,000 people grows 3% per year. How long will it take for the population to reach 8,000?
answer is: Notice that if the population doubles every 12 years, it quadruples (4 times) in 24, multiplies by 8 in 36, and multiplies by 16 in 48 years.
IF COREY HAD 100 TOKENS AND HE GIVES SOME TO HIS FRIENDS! HE HAS 4 LEFT OVER! HOW MANY DID HE GIVE EACH OF HIS FRIENDS!?
Answer:
he gave away 96 but depends how many friends he gave them to.
Step-by-step explanation:
1. 6 tractors take 7 days to collect the harvest. How long does it take 12 tractors to do the same work? ANSWER MUST BE IN 1 DECIMAL PLACE.
2. 3 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 20 assistants to prepare the same amount? ANSWER MUST BE IN 1 DECIMAL PLACE.
MARKING FIRST ANSWER AS BRAINLIEST.
Answer:
1.
3.5 days
2.
6.75 minutes, 6 minutes 45 seconds, 6.8 minutes to 1 dp
Step-by-step explanation:
1.
With double the amount of tractors it will take half the time.
7 divided by 2 is 3.5
2.
This is an example of inverse proportion. The job that has to be done to to prepare the vegetables, That stays the same.
However, the more people there are to do the work, the quicker it will get done.
There is a constant to be found:
x multiplied by y equals k
3 x 45 = 135
For 20 people:
20 x y = 135
135 divided by 20 is:
6.75, or 6.8
Quickly Help will make you brainliest These figures are congruent. What series of transformations moves
quadrilateral ABCD onto quadrilateral A'B'C'D'?
y
-8 4
8
B
A
-8
Note: Rotations are clockwise. Reflections are over the x- or y-axis.
G
8
4
+
D
B
A
4
C
D'
X
The series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is C. reflection, translation.
What is transformation?It should be noted that transformation simply means the movement of object in a coordinate plane.
The common type of transformation in mathematics include translation, rotation, reflection, and dilation.
Here, the series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is reflection, and translation. Reflection is flipping the pre image and producing the mirror image while translation is movement of the pre image
Learn more about transformation on:
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Answer:
A
Step-by-step explanation:
A store is giving out cards labelled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% discount on your purchase that day. If the card is an odd number greater than 6, you get a 40% discount. Otherwise, you get a 20% discount. The table shows the results of 400 customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants to approximately half of the customers to receive the 20% discount, does this seem like an appropriate method? Explain.
Answer:
Relative frequency for each discount :
10% - 0.4925, 20% - 0.3325, 40% - 0.175
Since only 33.25% of customers got 20% discount, it is not an appropriate method.
Step-by-step explanation:
relative frequency = number of frequency/total number of frequency
you can find out relative frequency for each number and add them up to get relative frequencies of discounts.
can anyone help with this? i dont know it
x/13 - 1 = 5x/2 + 1/2
please answer the question pls pls pls pls
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
the given expression can be solved as follows ~
[tex] \frac{x}{13} - 1 = \frac{5x}{2} + \frac{1}{2} \\ [/tex]
taking LCM both the sides ,
[tex] \frac{x - 13}{13} = \frac{5x + 1}{2} \\ [/tex]
on cross multiplying ,
[tex](x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13[/tex]
let's now gather the like terms at either sides of the equation ~
[tex]65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}} [/tex]
on simplifying the equation ,
[tex] \implies \frac{-13}{21}\\[/tex]
hope helpful ~
It's consumer math. I need help asap. #1
Answer:
949$
Step-by-step explanation:
You get 460$ the first year, then 488 in the second.
An insurance firm wants to estimate the percentage of senior citizens in a small town with approximately 2,534 residents. it asks a group of 85 randomly selected people in the town about their age.
select the statement that is true.
a. the sample is 2,534 people. the population is 85 people.
b. the sample is 85 people. the population is 2,449 people.
c. the sample is 85 people. the population is 2,534 people.
d. none of the answer choices are true.
Using sampling concepts, it is found that the correct statement is given by:
c. the sample is 85 people. the population is 2,534 people.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, a group of 85 people, which is the sample, is taken from the entire population of 2,534 people, hence option c is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
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I want help solving Id also like to know how you got the answer for future reference. ♥️
Answer:
5 seconds and 488 ft
Step-by-step explanation:
(a)
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 ), then
the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = - 16x² + 160x + 88 ← is in standard form
with a = - 16 and b = 160 then
[tex]x_{vertex}[/tex] = - [tex]\frac{160}{-32}[/tex] = 5
the maximum height is at the vertex, the turning point on the graph
then it takes 5 second to reach its maximum height
(b)
to find the maximum height substitute x = 5 into the equation
y = - 16(5)² + 160(5) + 88
= - 16(25) + 800 + 88
= - 400 + 888
= 488
maximum height is 488 ft
14. Which of the following is the perimeter of the right triangle shown below?
(1) 63 cm
(2) 64 cm
(3) 70 cm
(4) 74 cm
Answer:
70
Step-by-step explanation:
using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70
4+4(5+2²)
Using order of operations
Hey there!
Do PEMDAS to solve.
PEMDAS simply means.
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtract
Some people use this method to make PEMDAS easier to understand
• Please
• Excuse
• My
• Dear
• Aunt
• Sally
4 + 4(5 + 2^2)
= 4 + 4(5 + 2 * 2)
= 4 + 4(5 + 4)
= 4 + 4(9)
= 4 + 36
= 40
Therefore, the answer should be: 40
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
1. Amelia's annual salary increases by the same quantity every year. In her 1st
year at her job, she earned $24,000.In her 2nd year, she earned $36,000. In
her 3rd year, she earned $48,000. How much will she earn in her 20th year?
Then sketch a graph that represents the above information.
SALARY
Solution:
Answer:
Amelias salary increase by $12,000 every year so 12*20 = $240,000 salary in 20th year.
How many different possible outcomes are there when jillana spins the spinner below and then flips the coin? a spinner with 6 equal sections labeled 1 through 6. a penny. 2 6 8 12
Answer:
12
Step-by-step explanation:
6 X 2
the 6 sides of the spinner and the two faces of the coin
Answer: 36
Step-by-step explanation:
I just took the test on Edge :)
The numbers in this sequence increase by 12 each time
24
36
48
60
The sequence is continued with the same rule.
Which number in the sequence will be closest to 100?
Find the area of a sector of a circle with a radius of 6 and angle of the sector is 40 degrees
Answer:
12.56 units²Step-by-step explanation:
Area of sector :
πr² x θ/360π(6)² x 40/36036π x 1/93.14 x 412.56 units²The sum of two numbers is 12 and their difference is 4
write down two equations to describe given equation
solve the simultaneous equations to find the two numbers
Answer:
8 and 4
Step-by-step explanation:
let the 2 numbers be a nd b
equations :
a + b = 12
a - b = 4
Adding the two equations
a + b + a - b = 12 + 4
2a= 16
a = 8
b = 4
find the value of x.....
median and the data 11 , 17 , 7 , 4 , 15 , 9
Answer:
10.
Step-by-step explanation:
median means the "middle" number in a set of numbers.
(I always the meaning of median by remembering "middle" because they rhyme).
NOTE: to find the median of a set of numbers you have to arrange that set of numbers in either ascending order (smallest to biggest value) or descending order (biggest to smallest value) .
sooo....
we were given :
11, 17, 7, 4, 15, 19
let's arrange in ascending order
4, 7, 11, 15, 17 , 19
now you can cancel them out ( cancel left number, right number)
i mean....
cancel out 4, cancel out 19
cancel out 7, cancel out 17
and we are left with 2 numbers which are11 and 15.
NOTE; (when you have two numbers or values remaining instead of one number, add those two numbers and divide by 2).
soooo...
11 + 15 = 20
20/2 = 10
median of the set of numbers is equal to 10.
Hope this helps.
Good luck ✅.
Select the correct answer. what is the simplest form of this expression? (x 7)(3x − 8) a. 3x2 2x − 15 b. 3x2 29x − 1 c. 3x2 − 29x − 56 d. 3x2 13x – 56
The means of simplifying is by factoring. The simplified form of the expression is 3x² - 29x + 56
Simplifying expressionsThe means of simplifying is by factoring
Given the expression
(x - 7) (3x-8)
Expand
(x - 7) (3x -8)
3x² -8x - 21x +56
3x² - 29x + 56
Hence the simplified form of the expression is 3x² - 29x + 56
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On Friday, Beth sold 2 pitchers of lemonade from her lemonade stand. On Saturday, she sold 2 1/2 times as much lemonade as on Friday. How many pitchers of lemonade did Beth sell on Saturday
Answer:
She sold 5 pitchers of lemonade.
Step-by-step explanation:
She sold 2 on Friday and she sold 2 1/2 times that on Saturday so we have to do 2 x 2 1/2 in other words 2 x 2.5 which gives you 5.
:33333
S
4. In a bag there are letter squares that spell the word ATTITUDE. If you randomly pick two letters, what is
the P(not a vowel, and T) if the letters are not replaced.
Answer:
It depends if you pick a D or a T for P(not a vowel)
Please help, thanks!!
A cylinder has a height of 4 inches and a
base with a surface area of 113 square
inches. What is its volume?
Answer:
The volume is 452 square inches.
Step-by-step explanation:
Volume=area of base*height
just plug in the values
Which property is illustrated by the statement 4+(9+12)=(4+9)+12
Answer:
Associative Property of Addition
Step-by-step explanation:
Associative Property of Addition:
For any real numbers a, b, and c, (a + b) + c = a + (b + c).
Answer:
Commutative Property of Addition
Step-by-step explanation:
simplify
Please help ASAP
[tex]\dfrac{4v^2}{wu+u^2} \times \dfrac{7w+7u}{4v-8v^2}\\\\\\=\dfrac{4v^2(7w+7u)}{(wu+u^2)(4v-8v^2)}\\\\\\=\dfrac{4v^2 \cdot 7(w+u)}{u(w+u)\cdot 4v(1-2v)}\\\\\\=\dfrac{7v}{u(1-2v)}[/tex]