Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When we divide fractions, we are essentially multiplying by the reciprocal of the fraction.
2/3 ÷ 1/6
= 2/3 × 6
= 12/3
= 4
Drag each shape to the correct category. Identify which shapes are similar to shape A and which are not.
X,Y and Z from a business with capitals Rs 5000,Rs.4500 and Rs.6500 respectively,after 6 month,X doubles has capital and after next 3 months Y trebles his capital .If the profit at the end of the year amount to RS.8300,find the profit obtained by each X,Y and Z.
Answer:
Profit obtained by X = Rs. 2,976.64
Profit obtained by Y = Rs. 2,545.58
Profit obtained by Z = Rs. 2,777.78
Step-by-step explanation:
Total capital for the first 6 months = Rs 5000 + Rs.4500 + Rs.6500 = Rs. 16,000
Total capital for the next 3 months = Rs. 16,000+ Rs 5000 = Rs. 21,000
Total capital for the last 3 months of the year = Rs. 21,000 + (Rs 4500 * 2) = Rs. 30,000
Share of profit of each partner is the sum of all the ratios of his capital to total capital of the business at each point in time multiply by the ratio of the numbers of months covered by each capital to 12 months and then multiply by RS.8300.
Profit obtained by X = ((Rs 5000 / 16,000) * (6 / 12) * Rs. 8300) + ((Rs 10,000 / 21,000) * (3 / 12) * Rs. 8300) + ((Rs 10,000 / 30,000) * (3 / 12) * Rs. 8300) = Rs. 2,976.64
Profit obtained by Y = ((Rs 4500 / 16,000) * (6 / 12) * Rs. 8300) + ((Rs 4500 / 21,000) * (3 / 12) * Rs. 8300) + ((Rs 13,500 / 30,000) * (3 / 12) * Rs. 8300) = Rs. 2,545.58
Profit obtained by Z = ((Rs 6500 / 16,000) * (6 / 12) * Rs. 8300) + ((Rs 6500 / 21,000) * (3 / 12) * Rs. 8300) + ((Rs 6,500 / 30,000) * (3 / 12) * Rs. 8300) = Rs. 2,777.78
Confirmation of total profit shared = Rs. 2,976.64 + = Rs. 2,545.58 + Rs. 2,777.78 = Rs. 8,300
Unit Test Unit Test Active 1 2 3 4 5 6 7 CO Given fix) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]? -6, -1/2, 1/4, 1
Answer:
Step-by-step explanation:
Average rate of change is the same thing as the slope. This is a quadratic so the slope is not something that is constant like it is in a line. Here you have the x coordinates of 1 and 5; each one of these x coordinates has a y coordinate that goes with it. If we draw a line from one of these coordinates to another, that line will have a slope. That is the slope we are trying to find. Thus, we need the y coordinates that go with each of these x coordinates. To do that, plug x into the equation and do the math to find y:
Let's start with x = 1.
f(1) = [tex]17-(1)^2[/tex] so
f(1) = 16 and the coordinate is (1, 16).
f(5) = [tex]17-(5)^2[/tex] so
f(5) = -8 and the coordinate is (5, -8). Now we apply the slope formula:
[tex]m=\frac{-8-16}{5-1}=\frac{-24}{4}=-6[/tex] So the answer is -6.
Solve the attachment...
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
What is the scale factor from abc to xyz?
Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor = [tex]\frac{XY}{AB}[/tex] = [tex]\frac{9}{45}[/tex] = [tex]\frac{1}{5}[/tex] → C
The scale factor will be equal to 1 / 5. the correct option is C.
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
In the given image all the angles are the same and the sides are dilated so the scale factor will be calculated as below,
Scale factor = Original size / dilated size
Scale factor = XY / AB
Scale factor = 9 / 45
Scale factor = 1 / 5
Therefore, the scale factor will be equal to 1 / 5. the correct option is C.
To know more about scale factors follow
https://brainly.com/question/25722260
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Which of the following is an example of an exponential equation?
y=(3x)^2
y=x/2
y=x^4
y=2(3)^x
Answer:
Option D
Step-by-step explanation:
y = 2(3)^x is the example of exponential equation.
Ling must spend no more than $40.00 on decorations for a party. She has spent $10.00 on streamers and wants to buy bags of balloons as well. Each bag of balloons costs $2.50. The inequality below represents x, the number of bags she can buy given the spending limit and how much she has already spent on streamers.
10 + 2.5 x less-than-or-equal-to 40
Which best describes the number of bags of balloons she can buy?
Answer:
she can buy 0 to 12 bags but no more
Step-by-step explanation:
I tried figuring it out but its kinda hard not knowing what to make as an equation?
Please someone help!
solve for X
Answer:
x = 9
Step-by-step explanation:
The central angle is equal in measure to the arc that subtends it, that is
9x - 1 = 80 ( add 1 to both sides )
9x = 81 ( divide both sides by 9 )
x = 9
What is the sum of x2 − 3x + 7 and 3x2 + 5x − 9
Answer:
4x²+2x-2
Step-by-step explanation:
x²-3x+7
+
3x²+5x-9
Answer:
4x² + 2x - 2
General Formulas and Concepts:
Algebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
x² - 3x + 7 + 3x² + 5x - 9
Step 2: Simplify
Combine like terms (x²): 4x² - 3x + 7 + 5x - 9Combine like terms (x): 4x² + 2x + 7 - 9Combine like terms: 4x² + 2x - 2
x + 2y when x = 1 and y = 4
Answer:
9
Step-by-step explanation:
x = 1
y = 4
x + 2y = 1 + 8 = 9
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
9
Step-by-step explanation:
x + 2y
subtitute:
1 + 2(4)
simplify:
1 + 8 = 9
What is the length of DK?
A) 8.5
B) 12.7
C) 7.0
D) 3.5
Answer:
A
8.5 is the answer
If you test is going on so
all the best!
Marc puts 28 liters of water into a tub and 6 liters of water into a bucket. Then, he pours both containers into a tank.
Answer:
34
Step-by-step explanation:
HELP 20 points Congruence by SSS AND SAS NO LINKS
Answer:
where is the question oooo
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answer:
Inside
Step-by-step explanation:
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of poiñt from centre is less than the radius.
Hence the point lies within the circle
please help asap! ----------------------------
Answer:
[tex]f^{-1}(f(58))=58[/tex]
[tex]f(f(5))=11[/tex]
Step-by-step explanation:
We are given that the table which shows some inputs and outputs of the invertible function f with domain all real numbers.
We are given that
x f(x)
5 9
3 -2
1 -5
18 -1
0 1
9 11
We have to find
[tex]f^{-1}(f(58))[/tex] [tex]f(f(5))[/tex]
We know that
[tex]f^{-1}(f(x))=x[/tex]
Using the property
[tex]f^{-1}(f(58))=58[/tex]
[tex]f(5)=9[/tex]
[tex]f(f(5))=f(9)[/tex]
[tex]f(f(5))=11[/tex]
what is 50000000000000000000000000000 cubed
Answer:
50000000000000000000000000000*50000000000000000000000000000*50000000000000000000000000000=1.25e+86
Hope This Helps!!!
Help please
If the measure of angle 6 is 140 degrees and the measure of angle 7 is (x + 30) degrees, what value of x will guarantee n ∥ m?
Answer:
x = 10
Step-by-step explanation:
If n // m , then angle 6 and angle 7 are co interior angles and they are supplementary.
∠6 + ∠7 = 180
140 + x +30 = 180
x + 170 = 180
x = 180 - 170
x = 10
Please help me I really can't do these
Answer:
[tex]110 in^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
[tex]===========================================[/tex]
Squares(2):
5*5=25
Multiply by 2
50 in.
Rectangles(4):
5*3=15
Multiply by 4.
60 in.
Total:
Add.
50+60= 110 in2
I hope this helps!
what is the function rule for the line?
Hello!
What is the function rule the line?
f(x) = 2/3x - 2
Good luck! :)
if you are good at graphs this is good but please help it would mean a lot, I will give brain thingy
Answer:
(5, -6)
Step-by-step explanation:
The solution is where the lines cross.
Answer:
(5,-6)
Step-by-step explanation:
The solution to the system is where the two graphs intersect.
The graphs intersect at (5,-6)
A circle has a diameter with endpoints (-8,2) and (-2,6). What is the equation of the circle?
Answer:
the equation would be (x+5)2+(y−4)2=r2
Step-by-step explanation:
The equation would be
(x+5)2+(y-4)2=r2
TIMED HELP PLEASE. Determine whether the equation is an identity or not an identity.
Answer:
It's an identity
Step-by-step explanation:
The answer is an identity
I identity are composed by sin^2 and cos^2
Tan^2 can be simplified into those two sin n cos
Flying against the wind, a jet travels miles in hours. Flying with the wind, the same jet travels miles in hours. What is the rate of the jet in still air and what is the rate of the wind
Answer:
Velocity in still air: 760 mi/ hr
Velocity against the wind: 210 mi/ hr
Step-by-step explanation:
Given
See attachment for complete question
Required
The rate in still air
The rate of the wind
From the question, the velocity (v) against the wind is:
[tex]v =\frac{distance}{time}[/tex]
[tex]v =\frac{3040}{4}[/tex]
[tex]v_1 =760mi/hr[/tex]
The velocity with the wind is:
[tex]v_2 = \frac{8260}{7}[/tex]
[tex]v_2 = 1180mi/hr[/tex]
Let:
[tex]x \to[/tex] velocity in still air
[tex]y \to[/tex] velocity of the wind
So, we have:
[tex]x - y = 760[/tex]
[tex]x + y = 1180[/tex]
Add both equations
[tex]x + x -y + y = 760 + 1180[/tex]
[tex]2x = 1940[/tex]
Divide by 2
[tex]x = 970[/tex]
Substitute [tex]x = 970[/tex] in [tex]x - y = 760[/tex]
[tex]970 - y= 760[/tex]
Make y the subject
[tex]y = 970 - 760[/tex]
[tex]y = 210[/tex]
A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?
Answer:
[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]
Step-by-step explanation:
Given
[tex]r = \frac{3}{2}[/tex]
[tex]f(5) = 81[/tex]
Required
The geometric sequence
A geometric sequence is represented as:
[tex]f(n) = ar^{n-1}[/tex]
Replace n with 5
[tex]f(5) = ar^{5-1}[/tex]
[tex]f(5) = ar^4[/tex]
Substitute values for f(5) and r
[tex]81 = a* (\frac{3}{2})^4[/tex]
Open bracket
[tex]81 = a* \frac{81}{16}[/tex]
Make a the subject
[tex]a = \frac{81 * 16}{81}[/tex]
[tex]a = 16[/tex]
So, the explicit function is:
[tex]f(n) = ar^{n-1}[/tex]
[tex]f(n) = 16 * (\frac{3}{2})^{n-1}[/tex]
Split
[tex]f(n) = 16 * (\frac{3}{2})^n \div (\frac{3}{2})[/tex]
Convert to multiplication
[tex]f(n) = 16 * (\frac{3}{2})^n * \frac{2}{3}[/tex]
[tex]f(n) = \frac{32}{3}(\frac{3}{2})^n[/tex]
Answer:
f(x) = 16*(3/2)^(x-1)
Step-by-step explanation:
right on edge
find the coefficient of variation from the following data mean=4 variance=25
Can someone help me with this math homework please!
Answer: Five and a quarter
Step-by-step explanation:
Answer:
[tex]7h - 5(3h - 8) - 28 = 100 \\ 7h - 15h + 40 - 28 = 100 \\ 7h - 15h + 12 = 100 \\ - 8h + 12 = 100 \\ - 8h = 100 - 12 \\ - 8h = 88 \\ \frac{ - 8h}{ - 8} = \frac{88}{ - 8} \\ h = - 11[/tex]
4x^2+22x factor the polynomial
Answer:
2x(2x+11)
Step-by-step explanation:
4x^2 +22x
Factor out 2x
2x*2x +2x*11
2x(2x+11)
Can someone help with this
Answer:
Step-by-step explanation:
[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]
Mean = 3.95
B) To find the median, arrange the data in ascending order
3.3 ; 3.6 , 3.8 ; 3.8 ; 4.1 ; 5.1
As number of data is even, median = Average of (n/2)th term and (n/2)th term +1
= Average of 3 and 4th term
[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]
Median = 3.8
C) 3.8 occurs two times.
So, Mode = 3.8
d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase
e) If April (3.8) is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase
If April is deleted from chart, there will be no change in median.
Still median will be 3.8 only
A loan of 28,000 is made at 4% interest, compounded annually. After how many years will the amount due reach 48000 or more?
Answer:
The time is 13.7 years.
Step-by-step explanation:
principal, P = 28000
Rate of interest , R = 4 % annually
Amount, A = 48000
Let the time is t.
Use the formula of the compound interest.
[tex]A = P\times \left ( 1+\frac{r}{100} \right )^t\\\\48000 = 28000\times \left ( 1+\frac{4}{100} \right )^t\\\\1.71 = 1.04^t\\\\log 1.71 = t log 1.04\\\\t =\frac{0.233}{0.017}\\\\t = 13.7 years[/tex]
