Answer:
Hello,
Step-by-step explanation:
HCF(100,150,250)=50*HCF(2,3,5)=50*1=50
Part of each fruits for a student:
2 oranges, 3 cirtrus and 5 guavas.
The product of two numbers is 60 and thei r sum is it, find the Numbers
Tìm x không âm biết √x =3
Answer:
x=9
Step-by-step explanation:
[tex]\sqrt{x}[/tex]=3
[tex]\sqrt{x}[/tex]^2=3^2
x=9
The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 12 cm and the width is 8 cm, how fast is the area of the rectangle increasing
Answer:
Step-by-step explanation:
This is a super simple problem. I'm going to walk through it as I do when I teach this to my students for the first time.
We are given a rectangle. We are told to find how fast the area is changing under certain conditions. That tells us that the main equation for this problem is the area formula for a rectangle which is
[tex]A=lw[/tex]. If we are looking for the rate at which the rectangle's area is changing, that means that we need to find the derivative of the area implicitly. This derivative is found using the product rule because the length is being multiplied by the width:
[tex]\frac{dA}{dt}=l\frac{dw}{dt}+w\frac{dl}{dt}[/tex] . If our unknown is the rate at which the area is changing, [tex]\frac{dA}{dt}[/tex], that means that everything else has to have a value (because you can only have one unknown in an equation). Here's what we're told:
The length of the rectangle is increasing at a rate of 7 cm/s, so that satisfies our [tex]\frac{dl}{dt}[/tex];
the width is increasing at a rate of 6 cm/s, so that satisfies our [tex]\frac{dw}{dt}[/tex];
and all of this is going on when the length = 12 and the width = 8. It looks like everything will have a value except for our unknown. Filling in:
[tex]\frac{dA}{dt}=12(6)+8(7)[/tex] and
[tex]\frac{dA}{dt}=72+56[/tex] so
[tex]\frac{dA}{dt}=128\frac{cm^2}{s}[/tex]
Triangle A”B”C is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship of BC and B”C? PLEASE HELP
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Answer:
(b) BC = B"C"/3
Step-by-step explanation:
Choices A, C, D are all different ways of expressing the same relationship, and they are all incorrect.
B"C" is segment BC after dilation by a factor of 3, so it is 3 times as long as BC. That is, BC is 1/3 the length of B"C", choice B.
The soil samples for the next field indicate that fertilizer coverage needs to be
greater. To achieve this, you need to increase flow rate. How would you achieve
this?
A. Increase speed to approximately 7.1 mph so that you cover the field more
quickly
B. Increase the engine speed to approximately 2,000 rpm
C. Decrease speed to approximately 6.0 mph so that you cover the field more
slowly
D. Shift to second gear so that the engine speed slows
Answer:
A. Increase speed to approximately 7.1 mph so that you cover the field more.
Step-by-step explanation:
The soil samples for the next field require more fertilizer coverage therefore there is need for more field coverage by the equipment. The speed of the tractor will be increase to 7.1 mph so that greater area can be covered in lesser time.
On her summer abroad in France, Jane bought a pair of shoes for 54.82 euros. The store owner only had francs to give her as change. She gave him 55 euros. How much did he give her back in francs
Answer:
0.19
Step-by-step explanation:
Jane bought a shoe for 54.82 euros
She gave the store owner 55 euros
= 55-54.82
= 0.18 euros to franc
= 0.18× 1.08222
= 0.19 franc
Polynomial: 3x^4 + 5x - 4; Divisor: x - 1
Answer:
3x³+3x²+3x+8+[tex]\frac{4}{x-1}[/tex]
Step-by-step explanation:
You can use synthetic division for this problem since the divisor is in (x-a) form. The fraction is the remainder over the divisor.
If the cost, C, for manufacturing x units of a certain product is given by c=x^2-5x+65, find the number of units manufactured at a cost of 13,865.
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Answer:
120
Step-by-step explanation:
I find it pretty easy to obtain the solution by graphing ...
c(x) -13865 = 0
The positive value of x that makes this so is x = 120.
120 units will have a cost of 13,865 to manufacture.
__
If you like to solve this algebraically, you can probably do it most easily by completing the square.
x^2 -5x = -65 +13865
x^2 -5x +6.25 = 13806.25 . . . . . add the square of (-5/2)
(x -2.5)² = 13806.25
x -2.5 = √13806.25 = 117.5 . . . . only the positive square root is interesting
x = 117.5 +2.5 = 120
Complete the square to solve the equation below.
Check all that apply.
x^2-10x-4=10
1. Move terms to the left side
2.Subtract the numbers
3.Use the quadratic formula
4.Simplify
5.Separate the equations
6.Solve
Rearrange and isolate the variable to find each solution.
Solution,
Solution
x=5±√39
For the parallelogram, if m∠2=4x+30 and m∠4=2x+70, find m∠3.
PLEASE HELP WILL MARK BRAINLIEST! Also please explain the answer
Answer:
Each triangle is a right triangle.
Step-by-step explanation:
You can see each one has one 90 degree corner.
Answer:
13. True
14. True
15. False
Step-by-step explanation:
By using the Pythagorean Theorem a^2+b^2=c^2, you can evaluate whether or not the triangles are right triangles.
13. 8^2+15^2=17^2 -> 64+225=289 -> TRUE
14. 50^2+120^2=130^2 -> 2500+14400=16900 -> TRUE
15. 12^2+35^2=36^2 -> 144+1225 =/=1296 -> FALSE
The angles in a triangle represented by x, 3x, and 6x. What is the value of x?
A.20
B.30
C.18
D.36
Answer:
18
Step-by-step explanation:
The sum of the angles of a triangle is 180
x+3x+6x = 180
10x = 180
Divide by 10
10x/10 =180/10
x = 18
Corinne solved the equation below:
5x = 95
5x − 5 = 95 − 5
x = 90
Is Corinne's solution correct? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation.
Answer:
The solution is incorrect
Step-by-step explanation:
5x = 95
We need to do the opposite
We are multiplying x by 5 so we need to divide by 5
5x/5 = 95/5
x = 19
Corinne's solution is incorrect.
The mistake occurred when she subtracted 5 from both sides of the equation.
We have,
To solve the equation correctly, we need to isolate the variable x. Here are the correct steps:
Starting with the equation:
5x = 95
To isolate x, we divide both sides of the equation by 5:
(5x) / 5 = 95 / 5
x = 19
Thus,
The correct solution to the equation is x = 19.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ6
We are given both the slope and y-intercept so writing the equation in slope-intercept form is a breeze! Label both the slope and y-intercept and them substitute them into the general form of slope-intercept form. So, y=4x−3.
Answer:
below
Step-by-step explanation:
hope it is well understood?
The slope is 4 and y- intercept is 13
What is slope?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics.
A slope exists Numerical calculation of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment stands as the proportion of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).
Given
Slope
y = 4x-3
dy/dx = 4
slope = 4
intercepts y = 4(4) 3
y = 16-3
y = 13
To learn more about slope refer to:
https://brainly.com/question/1570952
#SPJ2
classmate Date 8) Solve the word problems a) If 576 balls are arranged in equal number of rows and columns, find the numbers of rows.
Answer:
24
Step-by-step explanation:
The number of rows (x) should b equal to the number of columns (x).
x²=576
x=√576 taking the square root of the product
x=24
Given the functions below, find f(x) - g(x) f(x) = 2x + 5 g(x) = x^2 - 3x + 1
Answer:
One of these
Step-by-step explanation:
Compute how many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, 7 if there is no repetition and the odd digits must appear in an unbroken sequence. (Examples: 3571264 or 2413576 or 2467531, etc., but not 7234615.)
Answer:
Number of 7-digit numbers that can be made from the digit is 576
Step-by-step explanation:
Given the data in the question;
digits ⇒ 1, 2, 3, 4, 5, 6, 7
Number of odd numbers in the given digits = 4
Number of even numbers in the given digits = 3
now, we take the odd digits as a single unit.
so, number of ways the odd digits can be arranged with the unit will be 4!.
Now, lets consider the unit of 4 odd digits with 3 even digits.
there are 4 units.
so the number of possible arrangements of these 4 units = 4!
hence, Number of 7-digit numbers that can be made from the digits will be;
⇒ Number of possible arrangements of 4 units × Number of ways in which the odd digits can be arranged within the unit.
⇒ 4! × 4!
⇒ 576
Therefore, Number of 7-digit numbers that can be made from the digit is 576
I need help with this
Answer:
Statement A is correct
Step-by-step explanation:
Statement A is correct: Model A1 (0.25) is more prefered than Model C3 (0.15)
what is 2 1/2 divided by 1/3 {pls hurry the teacher is not letting us use brainly}
Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change to an improper fraction
(2*1+2)/2 ÷ 1/3
5/2 ÷1/3
Copy dot flip
5/2 * 3/1
15/2
Change to a mixed number
7 1/2
The Science Club arranged a trip to Smithsonian. Only 2/3 of the members were able to attend, which left one seat empty on the 25-passenger bus. How many members does the Science Club have?
Answer:
36 members
Step-by-step explanation:
Let x = the number of science club members
There are 24 people on the bus (1 seat empty on the 25 seat bus)
2/3 of the club attended and that equals 24 people on the bus
2/3x = 24
Multiply each side by 3/2
3/2 * 2/3x = 24 * 3/2
x = 36
Marilyn is retiring and wants to set up a 25-year annuity with 140 000 of her savings . The annuity earns 7.7 compounded monthly How much will Marilyn receive every month ?
Answer:
marilyn isrestiring and wants to set up a 25-year annuity earns 7.
Which answer explains the correct way to move the decimal to find the quotient of 14.6 ÷ 10,000?
three places to the right.
three places to the left.
four places to the left.
four places to the right
Answer:
Four places to the left.
Step-by-step explanation:
14.6/10000
=> 1.46/1000 [Shifted 1 decimal place after dividing by 10]
=> 0.146/100 [Shifted 1 decimal place after dividing by 10]
=> 0.0146/10 [Shifted 1 decimal place after dividing by 10]
=> 0.00146 [Shifted 1 decimal place after dividing by 10]
Number of decimal places = 1+1+1+1=4
Four places to the left.
I need two examples of rounding to the thousandths place. SHOW ALL WORK!
Answer:
3.418
Step-by-step explanation:
3.4175
3.4178
u round if the number behind it is higher than 5
Select the correct answer from each drop-down menu?
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Answer:
second3firstisStep-by-step explanation:
We observe that the second equation of System B has had the x-term eliminated. That can be accomplished by adding 3 times the first equation to the second.
"To get System B, the second equation in System A was replaced by the sum of that equation and 3 times the first equation. The solution is the same as the solution to System A."
Your help would be very much appreciated I will mark you brainliest as well! :D
What is the answer to this question in the picture
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Answer:
[tex]\displaystyle\sqrt{x+7}-\log{(x+2)}[/tex]
Step-by-step explanation:
It's pretty straightforward. You want ...
f(x) - g(x)
Substituting the given function definitions gives ...
[tex]\displaystyle\boxed{\sqrt{x+7}-\log{(x+2)}}[/tex]
The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet that are shorter than 22 cm, approximately what percent of adult women have feet longer than 27.2 cm?
Answer:
Approximately 16% of adult women have feet longer than 27.2 cm.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The feet of the average adult woman are 24.6 cm long
This means that [tex]\mu = 24.6[/tex]
16% of adult women have feet that are shorter than 22 cm
This means that when [tex]X = 22[/tex], Z has a p-value of 0.16, so when [tex]X = 22, Z = -1[/tex]. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1 = \frac{22 - 24.6}{\sigma}[/tex]
[tex]-\sigma = -2.6[/tex]
[tex]\sigma = 2.6[/tex]
Approximately what percent of adult women have feet longer than 27.2 cm?
The proportion is 1 subtracted by the p-value of Z when X = 27.2. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27.2 - 24.6}{2.6}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.84.
1 - 0.84 = 0.16
0.16*100% = 16%.
Approximately 16% of adult women have feet longer than 27.2 cm.
50 POINTS PLEASE HELP ME
Hello!
f(g(x)) = 4 - 2 × (3x²) <=>
<=> f(g(x)) = 4 - 6x²
Answer: B. f(g(x)) = 4 - 6x²
Good luck! :)
Let we find the composition,
→ f(g(x)) = 4 (-2 × 3x²)
→ f(g(x)) = 4 -6x²
Hence, option (B) is the answer.
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. only 3
C. 2
D. 1, 2, and 3
A line of symmetry would separate a shape to make multiple shapes that are exactly the same.
The answer is C.2
Given the similarity statement
AJKL ANOP, what's the
corresponding side of ON ?
Answer:
ON = KJ
Step-by-step explanation:
JKL = NOP
We know the angles match
<J = <N
<K = <O
< L = <P
And we know
JK = NO
KL = OP
JL = NP
We are looking for ON = KJ
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Answer:
(d) KJ
Step-by-step explanation:
The segment of interest is named using the 2nd and 1st letters of the right side of the similarity statement.
The corresponding segment will be named using the 2nd and 1st letters of the left side of the similarity statement: KJ.
