Answer:
Ravi’s present age will be 5.
Step-by-step explanation:
From the given, Let Ravi’s present age is taken as "a" years.
After 15 years, his age = (a+15) years.
By the given, it is identified that the age of Ravi after 15 years is equal to the 4 times of his present age.
Given,
[tex]a+15+4a\\4a-a+15\\3a=15\\a=15/3\\a=5[/tex]
Then, it has been found that the present age of Ravi is 5 when his age after 15 years will be 4 times of his present age.
6 I think Sry if I wrong________
If I had 2 500 apples and sold 200 how much apples would I have left
Answer:
2300 apples
Step-by-step explanation:
2500 - 200 = 2300
Answer:
2300
Step-by-step explanation:
2500 - 200 = 2300
Note: "have left" means the answer after subtraction.
can someone please help!
Answer:
1. 10² = 100Step-by-step explanation:
Using this same method of solving, solve the rest. I will help you with 2 more.
5. [tex]10^6[/tex] = 1,000,000
8. [tex]10^0[/tex] = 1
find the y-intercept of the line that has a slope of -3 and passes through (9,0)
9514 1404 393
Answer:
27
Step-by-step explanation:
For point (x, y) and slope m, the y-intercept can be found from the equation ...
b = y -mx
b = 0 -(-3)(9) = 27
The y-intercept is +27. The corresponding ordered pair is (0, 27).
Need to make a rectangular pen for pigs that will enclose a total area of 169 square feet. What is the least amount of fencing that will be needed?
Answer:
The least amount of fencing needed for the rectangular pen is 72.19 feet.
Step-by-step explanation:
The area and perimeter equations of the pen are, respectively:
[tex]p = 2\cdot (x + y)[/tex] (1)
[tex]A = x\cdot y[/tex] (2)
Where:
[tex]p[/tex] - Perimeter, in feet.
[tex]A[/tex] - Area, in square feet.
[tex]x[/tex] - Width, in feet.
[tex]y[/tex] - Length, in feet.
Let suppose that total area is known and perimeter must be minimum, then we have a system of two equations with two variables, which is solvable:
From (2):
[tex]y = \frac{A}{x}[/tex]
(2) in (1):
[tex]p = 2\cdot \left(x + \frac{A}{x}\right)[/tex]
And the first and second derivatives of the expression are, respectively:
[tex]p' = 2\cdot \left(1 -\frac{A}{x^{2}} \right)[/tex] (3)
[tex]p'' = \frac{4\cdot A}{x^{3}}[/tex] (4)
Then, we perform the First and Second Derivative Test to the function:
First Derivative Test
[tex]2\cdot \left(x - \frac{A}{x^{2}} \right) = 0[/tex]
[tex]2\cdot \left(\frac{x^{3}-A}{x^{2}} \right) = 0[/tex]
[tex]x^{3} - A = 0[/tex]
Given that dimensions of the rectangular pen must positive nonzero variables:
[tex]x^{3} = A[/tex]
[tex]x = \sqrt[3]{A}[/tex]
Second Derivative Test
[tex]p'' = 4[/tex]
In a nutshell, the critical value for the width of the pen leads to a minimum perimeter.
If we know that [tex]A = 169\,ft^{2}[/tex], then the value of the perimeter of the rectangular pen is:
[tex]x = \sqrt[3]{169\,ft^{2}}[/tex]
[tex]x \approx 5.529\,ft[/tex]
By (2):
[tex]y = \frac{A}{x}[/tex]
[tex]y = \frac{169\,ft^{2}}{5.529\,ft}[/tex]
[tex]y = 30.566\,ft[/tex]
Lastly, by (1):
[tex]p = 2\cdot (5.529\,ft + 30.566\,ft)[/tex]
[tex]p = 72.19\,ft[/tex]
The least amount of fencing needed for the rectangular pen is 72.19 feet.
What is the measure of x?
Answer:
x=4
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+5) *x = 6^2
x^2 +5x = 36
Subtract 36 from each side
x^2 +5x - 36 = 0
Factor
( x-4) (x+9) = 0
Using the zero product property
x-4 = 0 x+9 =0
x = 4 x=-9
Cannot be negative since that is negative length
x=4
find the solution to the system of equations
3x+3y+3z=27
x+3y+3z=17
x-2y-5z=0
If (x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
Answer:
2x-3
Step-by-step explanation:
f (x) = 3x - 1
g(x) = x + 2
(f - g)(x) = 3x-1 - ( x+2)
Distribute the minus sign
= 3x-1 -x-2
Combine like terms
= 3x-x-1-2
= 2x-3
(f - g )( x ) = 2 x - 3
step-by-step explanation:f ( x ) = 3x - 1
g ( x ) = x + 2
(f - g )(x ) = ( 3x - 1 ) - ( x + 2. )remove unnecessary parantheses
3 x - 1 - x - 2collect like terms
3x - x - 1 -22 x -3PLEASE HELP 25 POINTS
Evaluate 4(3 - 1)^2
O A. 16
O B. 128
O C. 64
O D. 32
A hiker is standing 40 feet away from a tree that is 50 feet tall.
What is the angle of elevation from the hikers foot to the top of the tree??
HELP ME PLEASE ITS URGENT
Answer:
87.9°
Step-by-step explanation:
arctan(50/40)=87.9°
HELP ASAP!! ILL MARK BRAINLIEST!! Anna must solve this equation.
(x^2)/4=x
Which three steps could Anna use to correctly solve the equation? Select from the drop-down menus to order the steps used to solve the equation.
Answer:
question 1:
step #1:divide both sides by x
step #2:multiply both sides by 4
step #3: plug it into equation
Step-by-step explanation:
question 1:
step #1: divide both sides by x
you get x/4 = 1
step #2:multiply both sides by 4
you get x = 4
step #3: plug it into equation
4 squared/4 = 4
Five athletes are in a 100k race. How many different ways can they finish based on their order?
Answer:
120 different ways
Step-by-step explanation:
The first person can be 5 different ways
Now there are 4 people left
The second person can be 4 different ways
And so on
5*4*3*2*1
120 different ways
A researcher selects a sample of participants to test for differences in employment rates among part-time and full-time teachers. Because there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job sector. Which type of quota sampling was used in this example
Answer: proportionate
Step-by-step explanation:
Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.
Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.
Doug started his math homework at 7:55 P.M. He finished all the problems at 8:15 P.M. How long did Doug spend doing his math homework?
Answer:
20 minutes
Step-by-step explanation:
If you add 20 minutes to 7:55 P.M., it becomes 8:15 P.M.
Answer:
20 minutos
Step-by-step explanation:
De 7:55 pm hasta las 8: pasaron 5 minutos, luego de 8:00 a 8:15 pm pasaron 15 minutos.
Así que sería 5 + 15 = 20 minutos
10 points, will give brainliest. look ag the picture!!
Answer:
since angle x and y are the same the answer will be
A: x=y
The graph is a line that passes trough the coordinates (2, 11) and (8, 14). Which is an equation in terms of x and y for this function?
A. y = 1/2 x + 10
B. y = 2/3 x + 9
C. y = 3/2 x + 8
D. y = 2x + 7
Answer:A
Step-by-step explanation:
m=(14-11)/(8-2)
m=3/6
m=1/2
y = 1/2x+b substitute one of the points
11=1/2(2)+b
11=1 + b
b=10
y = 1/2x+10
Solve the simultaneous equations
2x+4y=1
3x-5y=7
Answer:
Step-by-step explanation:
Step 1: Add -4y to both sides.
2x+4y+−4y=1+−4y
2x=−4y+1
Step 2: Divide both sides by 2.
2x
2
=
−4y+1
2
x=−2y+
1
2
Step 1: Add 5y to both sides.
3x−5y+5y=7+5y
3x=5y+7
Step 2: Divide both sides by 3.
3x
3
=
5y+7
3
x=
5
3
y+
7
3
A rectangle has an area of 4x²-8x+3 square units. Which of the following could represent the perimeter of the rectangle in terms of x?
a. 2x-1
b. 2x-3
c. 4x-4
d. 8x-8
e. 10x-8
If my weekly pocket money goes up by 50% each year . How much will I be getting a week after 3 years if I start on £1 a week ?
Answer: £3.38
Step-by-step explanation:
In the first year, the pocket money goes up by:
= 1 + (1 * 50%)
= £1.50
In the second year:
= 1.50 + (1.50 * 50%)
= £2.25
In the third year:
= 2.25 * ( 2.25 * 50%)
= £3.38
Help its due rn!!!!!!!!!! Please
Answer:
D po
Step-by-step explanation:
yan po!sana nakatulong po
The Titanus beetle can measure 16710 centimeters in length, and the Giant Weta beetle can measure 8510 centimeters in length. How much longer is the Titanus than the Giant Weta?
Answer:
The answer you're looking for is 8,200cm
Step-by-step explanation:
If KJ=4 and KM= 2, find ML
Answer:
6
Step-by-step explanation:
(whole secant) * (external part) = (tangent)^2
(KL) * (KM) = KJ^2
(KM+ ML) * KM = KJ^2
(2+ ML) * 2 = 4^2
(2+ ML) * 2 =16
Divide each side by 2
(2+ ML) = 8
Subtract 2 from each side
ML = 6
Plz help me solve this problem
The answer is 19 they worked it out right above the question.
Answer:
19
Step-by-step explanation:
3(x+6) = 5(x-4)
Distribute
3x+18 = 5x-20
Subtract 3x from each side
18 = 2x-20
Add 20 to each side
38 = 2x
Divide by 2
19 = x
The solution is 19
Today, the population of Canyon Falls is 22{,}50022,50022, comma, 500 and the population of Swift Creek is 15{,}20015,20015, comma, 200. The population of Canyon Falls is decreasing at the rate of 740740740 people each year while the population of Swift Creek is increasing at the rate of 1{,}5001,5001, comma, 500 people each year. Assuming these rates continue into the future, in how many years from today will the population of Swift Creek equal twice the population of Canyon Falls
Answer:
10 years
Step-by-step explanation:
Given :
Population of Canyon falls = 22500
Rate of decrease = 740 per year
Population after x years :
f(x) = 22500 - 740x ; x = number of years
Population of Swift Creek = 15200
Rate of Increase = 1500 per year
Population after x years :
f(x) = 15200 + 1500x ; x = number of years
Number of years when, population of swift creek will be twice that of Canyon falls
15200 + 1500x = 2(22500 - 740x)
15200 + 1500x = 45000 - 1480x
15200 - 45000 = - 1480x - 1500x
-29800 = - 2980x
x = 29800 / 2980
x = 10
After 10 years
Is the Function exponential?
Answer:
y = 4x+ 5 is the equation that describes the data...
that is a linear equation ... the slope is 4 thus "the y value increases 4 for every 1 unit increase in x"
Step-by-step explanation:
Complete the list: (i^1) = I, (i^2)=-1, (1^3) = -I,(i^4) = ?
Show work
Answer:
[tex] {i}^{1} = i \\ {i}^{2} - 1 \\ {i}^{3} = - i \\ {i}^{4} = 1[/tex]
Mark me as Brainliest
Is Your Eyes Good?
Can You Identify The Word
Answer:
No way its too blur XD
Step-by-step explanation:
sports
watching tv
reading books
surfing
and sleeping maybe
Answer:
Sports - 25%
Surfing - 25%
Reading Books - 20%
Watching TV - 25%
Malling - 5%
Step-by-step explanation:
what is the measure of the supplement of a 65.4 angle
Answer:
65 degree angle but when straight 180 degree angle
Step-by-step explanation:
sry if wrong :)
simpifly fully, does anyone know the answer.
Answer:
Step-by-step explanation:
Note : In multiplication if the bases are same u can add their exponent while in division if the bases are same u can subtract their exponent.
Hope this helps u !!
(PLEASE HELP 30 POINTS)
Select all the correct answers.
Liam owns some rectangular plots of land. All of the plots are the same length, x, and the width of each plot is 5 yards less than the length. The
total number of plots Liam owns is 20 more than the length of a plot. If the total area of all the plots Liam owns is 2,688 square yards, which
statements about the length of each plot are true?
The equation x3 - 15x2 - 100x - 2,688 0 can be used to find the length of each plot.
The equation x3 + 25x2 + 100% -2,688 = 0 can be used to find the length of each plot.
o o o o o
The equation x3 + 15x2 - 100x - 2,688 = 0 can be used to find the length of each plot.
The length of each plot is 12 yards.
The length of each plot is 8 yards.
Answer:
We have to:
"All of the plots are the same length, x"
L = x
"and the width of each plot is 5 yards less than the length"
W = x-5
"The total number of plots Liam owns is 20 more than the length of a plot"
20 + x
"the total area of all the plots Liam owns is 2,688 square yards"
A = (20 + x) * (x) * (x-5)
A = (20x - 100 + x ^ 2 -5x) * (x)
A = (x ^ 2 + 15x - 100) * (x)
2688 = (x ^ 3 + 15x ^ 2 - 100x)
x ^ 3 + 15x ^ 2 - 100x = 2688
x ^ 3 + 15x ^ 2 - 100x - 2688 = 0
Answer:
*** The equation x3 + 15x2 - 100x - 2.688 = 0 can be used to find the length of each plot.
Answer:x^3+15x^2-100x-2,688=0
Step-by-step explanation:
What is the original price of an item cost if the tax is 9.25% and the discount is 25% and the new price after discount and tax is $62.28?
Answer: $ 91.50.
Step-by-step explanation:
Let x be the original price.
Since discount is applied before tax.
New price = (Original price - Discount)-Tax rate (Original price - Discount)
, where Discount = Discount rate x Original price.
Substituting values, we get
[tex]62.28=(x-0.25x)-0.0925(x-0.25x)[/tex]
[tex]62.28=(0.75x)-0.0925(0.75x)[/tex]
[tex]62.28=0.75x-0.069375x[/tex]
[tex]62.28=0.680625x[/tex]
[tex]x=\frac{62.28}{0.680625}[/tex]
[tex]x=91.50[/tex]
Hence, the original price was $ 91.50.
