Answer:
Combine like terms:
10y2 + 5ab
Step-by-step explanation:
Is your simplified algebraic expression.
simplify.
x⁴y²/x²y*6
Answer:
x^2y^-4
Step-by-step explanation:
Answer:
i think the answer is x²y/6
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
A
Step-by-step explanation:
Solve for y
A) 6
B) 6 sqrt 3
C) 4
D) 4 sqrt 3
Answer:
A) 6
Step-by-step explanation:
in a 30-60-90° Δ the ratio of side lengths is 1 : [tex]\sqrt{3}[/tex] : 2
so we can set up this proportion and cross-multiply:
[tex]\sqrt{3}[/tex] / 1 = y / 2[tex]\sqrt{3}[/tex]
y = 2[tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex] which is 2x3 or 6
Quesuon Help
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0<x<4 to the average rate for the
interval 4<x<8. What do you think will happen to the rate of change for intervals beyond x = 8? Explain.
For 0<x<4, the average rate of change will be
(Round to the nearest integer as needed. )
The slope of the straight line connecting the break's ends to the function's diagram.
For 0 < x < 4 will be -60
For 4 < x < 8 will be -31
What is meant by exponential function?The mathematical formula f (x) = [tex]$$a^{x[/tex] denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.
When a positive constant other than 1 is raised to a variable exponent, the function is said to be exponential. Solving at a certain input value yields the evaluation of a function. If you know the growth rate and the starting point, you can find an exponential model.
We have to use the knowledge of functions to describe the average rates of each one of them, so:
For 0 < x < 4 will be -60
For 4 < x < 8 will be -31
It is a measurement of how much the function changed for one person on average throughout that interval. It results from the slope of the straight line connecting the break's ends to the function's diagram.
To learn mote about exponential function refer to:
https://brainly.com/question/2456547
#SPJ4
The population of a city in 2010 is 50,000, and it grows by 5% each year after.
a. Write a function of f which models the population of the city' years after 2010.
b. What is the population of the city in 2017?
c. What will the population of the city be in 2020? What about in 2030?
d. By what factor does the population grow between 2010 and 2020? What about between 2020 and 2030?
a. A function that models the population of the city's years after 2010 is:
f(x) = 50,000 * (1 + 0.05)^(x-2010)
where x is the number of years after 2010.
b. The population of the city in 2017 (7 years after 2010) is:
f(2017) = 50,000 * (1 + 0.05)^7
= 65,128
c. The population of the city in 2020 (10 years after 2010) is:
f(2020) = 50,000 * (1 + 0.05)^10
= 76,923.1
The population of the city in 2030 (20 years after 2010) is:
f(2030) = 50,000 * (1 + 0.05)^20
= 129,382
d. The population in 2020 is 76,923.1, and the population in 2010 is 50,000, so the population grows by:
= 76,923.1 / 50,000
= 1.53846
The population in 2030 is 129,382, and the population in 2020 is 76,923.1, so the population grows by:
= 129,382 / 76,923.1
= 1.6859
To know more about population growth refer to:
brainly.com/question/26045900
#SPJ4
Find the median of data 1/3 3/2 1/6 1/4 2/3
Answer:
median= 1/3
Step-by-step explanation:
Last year, Michael was 36 inches tall and grew 0. 75 inch each month. Caroline was 39 inches tall and grew 0. 4 inch per month. How many months passed before they reached the same height?
In 8 months and 17 days Michael will reach the height of Caroline.
What is Linear Equation ?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, whereas B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Ax + B = 0, where A and B are both real integers, and x is the only variable, is the standard form or general form of a linear equation in one variable. Ax + By = C is the formula used to describe linear equations with two variables, where x and y are the variables and A, B, and C are any real values.
Let in x months Michael and Caroline will be at same height so,
36 + 0.75x = 39 + 0.4x
⇒0.35x = 3
⇒x = 8.57
So, in 8 months and .57*30 = 17 days Michael will reach the height of Caroline.
To learn more about Linear Equation refer to :
https://brainly.com/question/29091714
#SPJ4
please help it's for a test Which is an x-intercept of the graph of the function y=tan(x-5 pie/6)?
Answer:
5pie/6,0
Step-by-step explanation:
i graphed it
Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. In how many week will he have enough money to the bike?Use the bar diagram to solve arithmetically. Then use an equatuio to slove algebraically.
Answer:
It will take him 9 weeks to be able to buy the bike.
Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.
What were the steps to lead us to this answer?So, we have:
- Cost of the bike = $189
- Money saved = $99
- Money saving each week = $10
We are trying to find how many weeks will he have enough money to the bike.
So, we are going to multiply and add the numbers to find are answer:
→ (n × $ 10) + $ 99 = $ 189
→ n × $ 10 = $ 90 n = $ 90 $ 10 n=9 weeks.
Therefore, Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. The correct answer is 9 weeks.
Learn more here:
https://brainly.com/question/14603265
Working together, Sophie and Lily solved 53 math problems. Lily solved 19 fewer problems than three times the number Sophie solved. How many problems did each girl solve?
Answer:
Lily=35, Sophie =18
Step-by-step explanation:
Sophie =x
Lily=3x-19
Lily (x)+ Sophie (3x-19)=53
x+3x-19=53
4x=72
x=18 sophie
‘3x-19=Lily
3(18)-19. Lily
54-19. Lily
35. Lily
Lily + Sophie-53
35+18=53
53=53
Answer:
Answer of the Sophie solves the problems= 18
Lily solves the problems= 53
Step-by-step explanation:
Sophie solve the problem =x
Lily solve the problem =3x-19
Sophie and lily solve the problems together
(x)+ (3x-19)=53
x+3x-19=53
4x=72
Sophie x=18
3x-19=Lily
3(18)-19= Lily
54-19 = Lily
35 = Lily
Hence , Lily solve the number problems =35
And Sophie solve the problem= 18
To know more about this click on link
https://brainly.com/question/23419266
#SPJ2
David owns a food truck that sells tacos and burritos. He only has enough ingredients to make 87 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
Select ALL the correct answers.
Consider the graph of function g below.
Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.
-reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
- shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3
-reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit
The sequences of transformations could be applied is
reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unitshift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
From the picture we have, g(x) = -3x - 1
Parent function: f(x) = x
1) Reflect over the y-axis gives g(x) = -x
Vertically stretch by a factor of 3 gives g(x) = -3x
Shift down 1 unit gives g(x) = -3x - 1
2) Shift left 2 units: g(x) = x+2
Reflect over x-axis: g(x) = -x-2
Vertically stretch by a factor of 3 gives g(x) = -3x -6
3) Shift right 1 unit: g(x) = x-1
Reflect over the y-axis: g(x) = -x-1
Vertically stretch by a factor of 3: g(x) = -3x -3
4) Shift right 1 unit: g(x) = x-1
Reflect over the x-axis: g(x) = -x+1
Vertically stretch by a factor of 3: g(x) = -3x +3
5) Reflect over the x-axis: g(x) = -x
Vertically stretch by a factor of 3: g(x) = -3x
Shift down 1 unit: g(x) = -3x - 1
6) Shift down 1 unit: g(x) = x - 1
Reflect over the x-axis: g(x) = -x + 1
Vertically stretch by a factor of 3: g(x) = -3x + 3
Learn more about Transformation here:
https://brainly.com/question/11709244
#SPJ1
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 83 m long and 62 m wide.
Find the area of the training field. Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answe
16.67
Step-by-step explanation:
I don't know how to do this please help me! NO LINKS!
Find the measure of an angle between 0 degrees and 360 degrees coterminal with an angle of -244 degrees in a standard position.
Answer:
To find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.
Step-by-step explanation:
Find the value of x that will make the statement true.
11, 12, 14, x, 22, 27; The median is 16.
Solve the equation for all values of x.
(8x+9)(49x^2-100)=0
Answer:
[tex]x = \frac{-9}{8} , \frac{-10}{7} , \frac{10}{7}[/tex]
Step-by-step explanation:
8x+9=0
8x=-9
[tex]x = \frac{-9}{8}[/tex]
or
[tex]49x^{2}-100 = 0[/tex]
[tex](7x)^{2} -10^{2} =0[/tex],
[tex](7x+10)(7x-10)=0[/tex]
[tex]7x+10=0, 7x-10=0[/tex]
[tex]7x=-10, 7x=10[/tex]
[tex]x=-\frac{-10}{7}[/tex], [tex]x = \frac{10}{7}[/tex]
What is an equation of the line that passes through the points (2, –6) and (1, -1)?
Answer:
x axis
Step-by-step explanation:
Answer:
y=-5x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-6))/(1-2)
m=(-1+6)/-1
m=5/-1
m=-5
y-y1=m(x-x1)
y-(-6)=-5(x-2)
y+6=-5(x-2)
y=-5x+10-6
y=-5x+4
For a loan of. 8,75,000 how much interet will be charged by the bank for 2
month if the rate i 4. 75% per year?
Total interest charged by bank in 2 months is 6793.83.
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.
The interest that is obtained through the reinvestment of money is known as compound interest. The original principal investment grows substantially more quickly (sometimes referred to as exponentially) when interest is reinvested and allowed to compound over time.
Total loan amount = 875000
total time = 2 months
Rate = 4.75%
Total interest = 875000(1 + [tex]\frac{4.75}{100}[/tex])[tex]\)^{\frac{1}{6} }[/tex] - 875000 = 6793.83
To learn more about Compound Interest refer to :
https://brainly.com/question/29706641
#SPJ4
please please help soon
solve for x (in an integer or two integers or simplest radical form):
-42=8-2x^3
The value of x in its simplest radical form is (25)^1/3
What are integers or radicals?When a given number is in the form of a whole number, it is said to be an integer. Thus it can not be in the form of a fraction or does not have a decimal part. Examples include: 20, 345, 10, etc.
Radical form is a type of number which is expressed with a square root. This it could give a whole number or a number with a decimal part as the final answer.
To solve for x in either as an integer or in its simplest radical form;
-42 = 8 - 2x^3
-42 - 8 = -2x^3
- 50 = -2x^3
divide through by -2 to have;
x^3 = 25
find the cube root of both sides,
x = 25^1/3
Therefore in it simplest radical form, the value of x is 25^1/3
Learn more about radical form of numbers at https://brainly.com/question/29538426
#SPJ1
I need help on these questions please help . ignore the writing
You will always get one triangle. This is because of the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles of a triangle is always 180°.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon.
The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
The inner angles of every triangle sum up to 180°, 180°, 180°, 180°. Angles in a triangle are the total (sum) of the angles at each of its three vertices.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
Find the equation of the straight line with the
slope m= 1/2 and the y intercept is -1
Answer:
y = [tex]\frac{1}{2}[/tex] x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = [tex]\frac{1}{2}[/tex] and c = - 1 , then
y = [tex]\frac{1}{2}[/tex] x - 1 ← equation of line
Need help with school please
Answer:
x = 6
Step-by-step explanation:
The 2 angles are vertical angles and are congruent , so
11x - 14 = 7x + 10 ( subtract 7x from both sides )
4x - 14 = 10 ( add 14 to both sides )
4x = 24 ( divide both sides by 4 )
x = 6
What is the monthly payment What is the total payment? Find the finance charge,for a $8,000 4-year loan with an APR of 3%?
Answer:
8,960.66
Step-by-step explanation:
In general, the length of the billing cycle is at least 15 days and no longer than 90 days.
The finance charge for a billing cycle is 960.66.
The new opening balance in the following billing cycle is 8,960.66.
the graph shows the total weight of abox of cereal, y, as a function of the amount of cereal in the box, x. what is the weight of the box when it is empty?
Answer:
3
Step-by-step explanation:
The table below shows the times taken for
a group of athletes to finish a 200 m race.
Work out the percentage of the athletes
who took more than 28 s to finish the race.
Time, t(s)
24
26
28
30
Frequency
3
6
9
7
Therefore , the solution of the given problem of percentage comes out to be athletes who took move 285 to finish the race is 64%.
Define percentage.A percentage is what is used to describe a fraction of a whole when it is stated as a number range between 0 and 100. 100% of something, 50% of something, and 0% of something are all equal. After dividing the portion of the whole by the entire, multiply the result by 100 to arrive at a percentage.
Here,
For the table to get the total frequency is:
=> 3+6+9+7
=>9+9+7
=>25
The frequency greater than 285 is
9+7 = 16
So,
the percentage of the athletes who took move 285 to finish the race is:
=> 16/25 * 100
=> 0.64 * 100
=> 64%
Therefore , the solution of the given problem of percentage comes out to be athletes who took move 285 to finish the race is 64%.
To know more about percentage , visit
brainly.com/question/20260562
#SPJ1
Help plis and thank you
Find the value of x in the triangle shown below
Answer:
61.31
Step-by-step explanation:
By using sinus rule
Get the standard form and slope-intercept form
1. y -2 = 2/3 (x - 1)
2. y + 4 = - 4/5 (x+3)
Answer:
1. y-2=2/3(x-1) slope: y=2/3x+4/3 standard: 2x-3y=-4
Step-by-step explanation:
What function f(x) has the property where f'(x) is equal to 2f(x)?
Answer:
u not get the answer
Step-by-step explanation:
HELP PLEASE DONT IGNORE Benny says you can write 0.000000215 as
[tex]2.15 \times {10}^{7} [/tex]
In scientific notation. Do you agree with him? Explain why or why not?
please no links and don't answer unless your gonna help
The distance between two towns A and B is 16 cm. Find the actual distance, in km, that is represented by map scale 2 cm to 3 km.
Answer:
24x
Step-by-step explanation: