Answer:
3 2/5
Step-by-step explanation:
17/5
How many times does 5 go into 15
5*3 =15 3 times
17-15 =2 so there is 2 left over. This goes over the denominator
3 2/5
Answer:
3 2/5Step-by-step explanation:
[tex]17/5 = 17 \div 5 = 3\:remainder\: 2\\\\= 3\frac{2}{5}[/tex]
Two years ago ,a woman was 7 times as old as her daughter,but in 3 years time ,she would be 2 times as old as the girl,how old are they now?.
Let present age of women and her daughter be x and y respectively.
According to the question,
Case 1 :
Two years ago,
Woman age = ( x - 2 ) years
Her daughter age = ( y - 2 ) years
Woman was 7 times old as her daughter. [ Given ]
x - 2 = 7 ( y - 2 )
=> x - 2 = 7y - 14
=> x - 2 + 14 = 7y
=> x + 12 = 7y ....( i )
Case 2 :
After Three years ,
Woman age = x + 3
Her daughter age = y + 3
she would be 4 times old as the girl. [ Given ]
x + 3 = 4 ( y + 3 )
=> x + 3 = 4y + 12
=> x = 4y + 12 - 3
=> x = 4y + 9....( ii )
Now,
★ Substituting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get
x + 12 = 7y
=> 4y + 9 + 12 = 7y
=> 21 = 7y - 4y
=> 21 = 3y
=> 3y = 21
=> y = 21/3
=> y = 7
And,
x = 4y + 9
★ Substituting the value of y in equation ( ii ), we get
x = 4 × 7 + 9
x = 28 + 9
x = 37
Hence, the present age of women is 37 years and her daughter age is 7.
the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.
Let's denote the current age of the daughter as "D" and the current age of the woman as "W".
From the given information:
1. Two years ago, the woman was 7 times as old as her daughter:
W - 2 = 7(D - 2)
2. In three years time, the woman would be 2 times as old as the girl:
W + 3 = 2(D + 3)
We now have a system of two equations with two unknowns. Let's solve this system of equations:
From equation 1, we can rewrite it as:
W = 7(D - 2) + 2
Substituting this expression for W in equation 2, we have:
7(D - 2) + 2 + 3 = 2(D + 3)
Simplifying the equation:
7D - 14 + 2 + 3 = 2D + 6
Combine like terms:
7D - 9 = 2D + 6
Subtract 2D from both sides:
7D - 2D - 9 = 6
Combine like terms:
5D - 9 = 6
Add 9 to both sides:
5D = 15
Divide both sides by 5:
D = 3
Now that we know the daughter's current age (D = 3), we can substitute it back into equation 1 to find the woman's age:
W = 7(D - 2) + 2
W = 7(3 - 2) + 2
W = 7(1) + 2
W = 7 + 2
W = 9
Therefore, the current age of the daughter is 3 years old, and the current age of the woman is 9 years old.
Learn more about Age here
https://brainly.com/question/17210425
#SPJ2
X-21=6 what does x equal??
Answer:
The answer is 27
Hope this helps
Answer:
x=27
Step-by-step explanation:
What you need to do is isolate the x or in other words have the x be alone on one side of the equal sign. To do this you would need to add 21 to both sides because you need to cancel out -21 with the opposite which would be positve 21. After that the x should be by itself and then finally add 21 to 6 to complete solving for x.
Someone lmk thank youuu
Answer:
please mark my answer brainliest
Step-by-step explanation:
=8 x cube + 27
=2 X whole cube + 3 whole cube
=(2x+3)(2 X whole square + 3 whole square -2× 2 X ×3 )
=(2x+3)(4x square +9-12x)
....thats all...if require more than use splitting midterm to get more appropriate answer
reduce to simplest term 44/4
Answer:
11
Step-by-step explanation:
44/4 = 11
4/4 = 1
then:
44/4 = 11/1 = 11
help me with these please
Step-by-step explanation:
(1) y = x e^(x²)
Take derivative with respect to x:
dy/dx = x (e^(x²) 2x) + e^(x²)
dy/dx = 2x² e^(x²) + e^(x²)
dy/dx = (2x² + 1) e^(x²)
Take derivative with respect to x again:
d²y/dx² = (2x² + 1) (e^(x²) 2x) + (4x) e^(x²)
d²y/dx² = (4x³ + 2x) e^(x²) + 4x e^(x²)
d²y/dx² = (4x³ + 6x) e^(x²)
Substitute:
d²y/dx² − 2x dy/dx − 4y
= (4x³ + 6x) e^(x²) − 2x (2x² + 1) e^(x²) − 4x e^(x²)
= 4x³ + 6x − 2x (2x² + 1) − 4x
= 4x³ + 6x − 4x³ − 2x − 4x
= 0
(2) y = sin⁻¹(√x)
sin y = √x
sin²y = x
Take derivative with respect to x:
2 sin y cos y dy/dx = 1
sin(2y) dy/dx = 1
dy/dx = csc(2y)
Take derivative with respect to x again:
d²y/dx² = -csc(2y) cot(2y) 2 dy/dx
d²y/dx² = -2 csc²(2y) cot(2y)
Substitute:
2x (1 − x) d²y/dx² + (1 − 2x) dy/dx
= 2 sin²y (1 − sin²y) (-2 csc²(2y) cot(2y)) + (1 − 2 sin²y) csc(2y)
Use power reduction formula:
= (1 − cos(2y)) (1 − ½ (1 − cos(2y))) (-2 csc²(2y) cot(2y)) + (1 − (1 − cos(2y))) csc(2y)
= (1 − cos(2y)) (1 − ½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cos(2y) csc(2y)
= (1 − cos(2y)) (½ + ½ cos(2y)) (-2 csc²(2y) cot(2y)) + cot(2y)
= (cos(2y) − 1) (1 + cos(2y)) csc²(2y) cot(2y) + cot(2y)
= (cos²(2y) − 1) csc²(2y) cot(2y) + cot(2y)
= -sin²(2y) csc²(2y) cot(2y) + cot(2y)
= -cot(2y) + cot(2y)
= 0
Consider the polynomial 6x4 + 24x3 − 72x2. What is the greatest common factor (GCF) of the terms of the polynomial?
Answer:
24x
Step-by-step explanation:
=6x×4+24x×3-72x
=24x+24×3x-72x
=24x+72x-72
=24x
7p − p = 18 2) −5n − 4n = −9
Answer:
[tex] \boxed{ \bold{ \sf{ \boxed{ p = 3}}}} [/tex][tex] \boxed{ \bold{ \sf{ \boxed{n = 1}}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{7p - p = 18}[/tex]
Collect like terms
⇒[tex] \sf{6p = 18}[/tex]
Divide both sides of the equation by 6
⇒[tex] \sf{ \frac{6p}{6} = \frac{18}{6} }[/tex]
Calculate
⇒[tex] \sf{p = 3}[/tex]
2. [tex] \sf{ - 5n - 4n = - 9}[/tex]
Collect like terms
⇒[tex] \sf{ - 9n = - 9}[/tex]
Divide both sides of the equation by -9
⇒[tex] \sf{ \frac{ - 9n}{ - 9} = \frac{ - 9}{ - 9} }[/tex]
Calculate
⇒[tex] \sf{n = 1}[/tex]
Hope I helped!
Best regards!!
a process used to convert units and rates using a conversion factor and multiplication
Dimensional Analysis
The quotient below is shown without the decimal point. Use number sense to place the decimal point correctly. 370 ÷ 2.5 ÷ 1.6 = 925
Answer:
92.5
Step-by-step explanation:
When you would look at this you would just see that there are if you divide 370 by 2 and 2 again you will not get a small number so the only logical answer is 92.5
The number would be 92.5
First, we have to convert decimal to fraction
370/(25/10 * 16/10)
now, reduce the expression to the lowest term
370/4
reduce the fraction
185/2
=92.5
What are Decimals?
In Algebra, decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point. For example, 34.5 is a decimal number.
What is a fraction in math?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator
Learn more about decimal here:https://brainly.com/question/26279367
#SPJ2
I need help with b and d
The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the year 2000 was 10,100 foxes.
a) Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).
b) Use your function from part (a) to estimate the fox population in the year 2008.
c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.
Answer:
P(t) = I × ( 1 +g)^t
14922
2013
Step-by-step explanation:
Given the following :
Growth rate (g) = 5% = 0.05
Initial population (I) = 10,100
Time (t) = t (t = 0 in year 2000)
A) population function P(t)
P(t) = I × ( 1 +g)^t
P(t) population in t years
I = inital population
g = growth rate
t = years after year 2000
B) Population Estimate in year 2008
2008 - 2000 = 8 = t
P(8) = 10,100 × ( 1 +0.05)^8
P(8) = 10,100 × (1.05)^8
P(8) = 10,100 × 1.4774554437
P(8) = 14922.299 = 14922
C.) Nearest whole year when population will reach over 18,400
18,400 = 10,100 × ( 1 +0.05)^t
18400 = 10,100(1.05)^t
1.05^t = 18400 / 10,100
1.05^t = 1.8217821
In(1.05^t) = ln(1.8217821)
(0.0487901)t = 0.5998152
t = 0.5998152 / 0.0487901
t = 12.293789
To attain a population of 18400 and over, the nearest whole year = 13 years
2000 + 13 = 2013
Determine the value of
x isosceles triangle?
Answer:
x = 13ft
Step-by-step explanation:
The isosceles triangle is a polygon with three sides, two being equal and the other unequal.
The angles P and N will also be equal and the M other different.
PM ≅ MN
∠P ≅ ∠N
PN = 2x
because the line starting at M divides the triangle into two sections
26 = 2x
2x = 26
x = 26 /2
x = 13ft
Shamika knows she has been listening to a music playlist for 26 minutes when she looks at the clock showing the time below. What time did Shamika begin listening to the playlist?
Answer:
t = 5:26
Step-by-step explanation:
time after 26 min = 5:52
time before 5:52 after listening for 26 min
t = 5:52 - 0:26
t = 5:26 was the time when Shanika starts listening to a music.
Answer:
t = 5:26
Step-by-step explanation:
time after 26 min = 5:52
time before 5:52 after listening for 26 min
t = 5:52 - 0:26
t = 5:26
How to work out the mean
Answer:
mean is average
1. Add all the values to find the total
2. Divide the total you have found by the amount of numbers you have added to find the total
Answer:
To work out the mean you have to add all of the numbers up then divide it by how many numbers the are
Step-by-step explanation:
What is the solution to this equation 34(x+8)=12(x−6)
Answer:
x = - 172*11
Step-by-step explanation:
A triangle has vertices at (1,3),(2,-3), and (-1,-1). What is the approximate perimeter of the triangle? A. 16 B: 14 C: 15 D: 10
Answer:
B 14
explanation:
i did the math
The perimeter of the given triangle is 14 units, so the correct option is B.
How to get the perimeter of the triangle?
The perimeter of the triangle will be equal to the sum between the distances between the given points.
Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:
[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]
For the pair of (1,3), (2,-3): the distance is:
[tex]d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08[/tex]
For the pair (1, 3) , (-1, -1) the distance is:
[tex]d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5[/tex]
For the pair (2, -3) and (-1, -1) the distance is:
[tex]d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6[/tex]
Then the total perimeter, rounded to the next whole number is:
6.08 + 4.5 + 3.6 = 14
So the correct option is B.
If you want to learn more about triangles, you can read:
https://brainly.com/question/4289712
If ∠P measures 27°, ∠R measures 135°, and p equals 9.5, then which length can be found using the Law of Sines?
Answer:
r = 14,8
Step-by-step explanation:
Hope you can read my writing ;-)
The length that can be found using the Law of Sine rule is
r= 14.80 units
What is the lenght?Generally,
Generally, the equation for sin rule is mathematically given as
[tex]\frac{p}{sinP} = \frac{q}{sinQ} = \frac{r}{sinR}[/tex]
Where
p = 9.5 units
∠P = 27°
∠R = 135°
Therefore
[tex]\frac{9.5}{sin 27^0} = \frac{q}{sin Q} = \frac{r}{sin 135^0}[/tex]
[tex]\frac{9.5}{sin 27^0} = \frac{r}{sin 135^0}[/tex]
9.5 x 0.7071 = r x 0.4540
r = 14.80 units
Read more about length
https://brainly.com/question/25986613
#SPJ5
Find the circumference given the area = 28.3 km². Use 3.14 for π as necessary. A. 18.9 km B. 20.8 km C. 21.4 km D. 37.8 km
================================================
Work Shown:
Use the given area A = 28.3 to find the radius r
A = pi*r^2
28.3 = 3.14*r^2
3.14*r^2 = 28.3
r^2 = 28.3/3.14
r^2 = 9.01273885350319 approximately
r = sqrt(9.01273885350319)
r = 3.00212239149292
---------
Which is then used to find the circumference
C = 2*pi*r
C = 2*3.14*3.00212239149292
C = 18.8533286185756
C = 18.9
if x=1 then (x-1)(x-2)= -3 -1 0 2
If x * (x + 2) = 49, find x
Answer:
x = -8.07107, 6.07107
Step-by-step explanation:
Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]
Step 1: Write out equation
x(x + 2) = 49
Step 2: Distribute
x² + 2x = 49
Step 3: Subtract 49 on both sides
x² + 2x - 49 = 0
Step 4: Quadratic Formula
a = 1
b = 2
c = -49
x = -8.07107, 6.07107
Evaluate −12(−2). (1 point) 14 −14 −24 24
Answer:
24.
Step-by-step explanation:
−12(−2
= -12 * -2 ( Note - * - = +) so we have:
24 (answer).
express 0.0706 to standard form
Answer: 706 x[tex]10^{-4}[/tex]
It can also be written as 7.06 x [tex]10^{-3}[/tex]
Answer:
Step-by-step explanation:
0.0706 * 10 (0) the zero is supposed to be on top of the 10
The sequence {an) is defined by ao = 1 and
An+1=2an +1 for n = 0,1,2,.... What is the value
of a4?
=======================================
Work Shown:
Use the value of a0 to find the value of a1. The idea is you double the previous value, and then add 1.
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{0+1} = 2*(a_0) + 1\\\\a_{1} = 2*(1) + 1\\\\a_{1} = 3\\\\[/tex]
Which is then used to find the value of a2. Follow the same process as before (double the previous value and then add 1).
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{1+1} = 2*(a_1) + 1\\\\a_{2} = 2*(3) + 1\\\\a_{2} = 7\\\\[/tex]
This is used to find a3
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{2+1} = 2*(a_2) + 1\\\\a_{3} = 2*(7) + 1\\\\a_{3} = 15\\\\[/tex]
Finally we can now find a4
[tex]a_{n+1} = 2*(a_n) + 1\\\\a_{3+1} = 2*(a_3) + 1\\\\a_{4} = 2*(15) + 1\\\\a_{4} = 31\\\\[/tex]
Recursive sequences like this aren't too bad if n is small, but as n gets larger, things become more tedious. For those cases, its best to try to find a closed form equation. If not, then the next best thing is using a spreadsheet to automate the process.
Which describes the standard deviation?
Step-by-step explanation:
standard deviation is used to measure risks involved in an investment instrument. Standard deviation provides investors a mathematical basis for decisions to be made regarding their investment in financial market. Standard Deviation is a common term used in deals involving stocks, mutual funds, ETFs and others. Standard Deviation is also known as volatility. It gives a sense of how dispersed the data in a sample is from the mean.
I hope I answered correctly :)
(-4) + (-5) =
I’m confused
Simplify 5/96 - 7/54
Answer:
The answer is
[tex] - \frac{67}{864} [/tex]Step-by-step explanation:
[tex] \frac{5}{96} - \frac{7}{54} [/tex]To solve first find the LCM of the denominators
That's
The LCM of 96 and 54 is 864
So we have
[tex] \frac{5}{96} - \frac{7}{54} = \frac{5(9) - 7(16)}{864} [/tex][tex] = \frac{45 - 112}{864} [/tex]We have the final answer as
[tex] = - \frac{67}{112} [/tex]Hope this helps you
8. Which of the numbers in each pair is farther to the left on the number line?
a. 305 and 17
b. 187 and 900
C. 16 and 46
d. 157,019 and 149,984
5. Jonathan and Victoria can finish a job in 13 days. Jonathan can do the job
himself in 26 days. if Victoria wanted to do the job alone, how long would it
take her?
6. If a certain job can be finished by 18 workers in 26 days. How many workers
are needed to finish job in 12 days?
.
7. A group of 40 workers can finish digging a tunnel in 12 days. how many
workers can finish the job in 8 days?
Answer:
about 8 workers will finish the job
A gas that exerts a pressure of
215 torr in a container with a volume of
51.0 mL will exert a pressure of
torr when transferred to a
container with a volume of 18.5 mL.
Assume that the number of moles and the
temperature remain constant.
Step-by-step explanation:
According to Boyle's Law :
[tex]p _1v _1 = p _2v _2[/tex]
[tex]v _2 = \frac{p _1v _1}{p _2} = \frac{215 \times 51}{18.5} = 592.7ml[/tex]
The pressure exert in a container is 592.70 torr.
To find The pressure exert in a container.
What is Molarity?Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.
Given that :
pressure([tex]P_{1}[/tex])=215 torr
volume ([tex]v_{1}[/tex])=51.0 mL
volume([tex]v_{2}[/tex])= 18.5 mL
[tex]P_{2}[/tex]=?
Number of moles and the temperature remain constant.
By the use of "Boyle's law" :
[tex]P_{1} V_{1} =P_{2} V_{2} \\\\215*51=P_{2} *18.5\\\\P_{2} =\frac{215*51}{18.5} \\\\P_{2} =592.70 torr[/tex]
So, the pressure exert in a container is 592.70 torr.
Learn more about Molarity here:
https://brainly.com/question/17211189
#SPJ5
Clarence set his watch 16 seconds behind , and it falls behind 2 seconds every day . How many days behind has it been since Clarence last set his watch if the watch is 46 seconds behind
Answer:
15 days.
Step-by-step explanation:
46 - 16 = 30.
It falls 2 seconds behind each day so the number of required days
= 30 / 2 = 15.
Answer:
Step-by-step explanation:
15 days 16-40=30 the take 30/2= 15