Answer:
[tex]Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved[/tex]
Which of the following is the equation for the line of symmetry in this figure?
Can someone help please!
Answer:
X=3
Step-by-step explanation:
3 is in the middle of the figure.
I hope this helps!
Net pay is the difference between a worker’s gross income and his or her deductions. A person’s gross income for the year was $65,000 and their total deductions were $12,860. What was their net pay for the year? Use the formula P = I - d, where P is the net pay, I is the gross income and d is the deductions.
a. $53,140 is the net pay
b. $77,860 is the net pay
c. $72,860 is the net pay
d. $52,140 is the net pay
how Do you graph an
absolute valve function
Answer:
To graph the absolute value, you need to know where the vertex is, so the numbers will be going down, then turn and start going back up, or going up and then turn and start going down, the middle point will be the vertex and should be the center point of the table.
I need some helppp people
We can observe that the function describing the graph is linear and so the equation is of linear nature:
[tex]y=mx+n[/tex]
Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}[/tex]
Now our line has an equation,
[tex]y=\frac{6}{5}x-1[/tex]
Hope this helps.
10) Jacolby can score 30 goals in 6 minutes. Khamari can score 42 goals in 7 minutes. How many more goals can Khamari make per minute? a) 3 goals b) 2 goals c) 1 goal d) 4 goals
Answer:
c)1 goal
Step-by-step explanation:
Since Jacolby can make 30 goals in 6 minutes, that makes (30/6) 5 goals per minute. Khamari can make 42 goals in 7 minutes, that makes (42/7) 6 goals per minute. So Jalcolby is 5 and Khamari is 6, and the question is asking how many MORE. 6-5 is 1, so Khamari can make 1 more goal per minute than Jacolby.
Hope this helps.
S. (4 - 2x)(4 + 2x)
Answer:
16-4x^2
Step-by-step explanation:
u start multiplying them by each other .
4×4= 16
4×2x= 8x
-2x×4= -8x
-2x×2x= -4x^2
now u combine like terms
8x+-8x = 0
16-4x^2
I hope u understood.... lol
Can someone please solve number 6 for me it’s urgent
Answer:
Value of blank = 1 / (-5x)
Step-by-step explanation:
Given:
__ × (-5x) = 1
Find:
Value of blank
Computation:
Assume;
Blank = y
So,
y × (-5x) = 1
y = 1 / (-5x)
Value of blank = 1 / (-5x)
what's the answer to this
simplify x^2-9x+14/x^2+5x-14
Given the rectangle ABCD, find measure of angle EFH, measure of angle FEH. Also find, HI and GE.
HF= 36
measure of angle HFG = 30
A blue whale is swimming at an average rate of 3 miles per hour.
Write a linear equation that gives the distance y in miles that the whale swims in x hours.
Answer:
y = 3x
Step-by-step explanation:
you can use the equation to determine how many miles the whale swims in any desired hour
example, if you want to know how far it swims in 5 1/2 hours then just plug 5 1/2 in for 'x' and solve for 'y'
y = 3(5.5)
y = 16.5
whale travels 16.5 miles when going at a rate of 3 mph
I NEEED TO GET THIS RIGHT PLS ANSWERRRRR. ILL GIVE YOY ALOT OF POINTS AND A BRAINLYIST!!!
Answer:0.5n
Step-by-step explanation: its to long to explain but correct :)
Answer:
0.5n
Step-by-step explanation:
Enter range of values for x
Answer:
42=3x+15
42-15+3x
27/3 = 9
Step-by-step explanation:
what is B? b-1/4=3 1/2
Answer:
hello! :) have a good day!
Exact Form:
b =15/4
Decimal Form:
b =3.75
Mixed Number Form:
b =3 3/4
mega has 3 weter botels and wants to give each of her friends 4 how many will she need
Answer:
12
Step-by-step explanation:
3 times 4 is 12
Help needed for this Que’s please.!
Step-by-step explanation:
step 1. the sale is 20% off; that means times 0.8.
step 2. the additional coupon is 10% off of the sale price; that means times 0.9.
step 3. so the final price is (0.8)(0.9) times the retail price
step 4. (0.8)(0.9) = 0.72 or a 28% discount and not 30%.
can i get a OHHHHHH YEAHHHH
Answer:
AW YEAHHHHHHHHHHHHHHHHHHHHHHHHHHH
Step-by-step explanation:
Answer:
OH YEAHHHH
Step-by-step explanation:
lol
If $5.000 is invested at a rate of 8%, compounded weekly, find the value of the investment after 7 years.
Amanda ate 1/3 of her mom's pie. she gave the remaining 2/3 to 4 friends, What fraction did each friend get.
Are the following ratios equivalent
16:48 and 112:336
Answer:
Yes
Step-by-step explanation:
How much more money does it cost to burn trash than to send it to a landfill? Sanitation Costs (per pound) Recycling $30 Landfilling $50 Burning $75 2,000 pounds = 1 ton/ $25 per ton / $25 per pound / $45 per ton / $45 per pound
identify the function of the transformation
WILL MARK BRAINLYIST
Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
Answer:
[tex]y = 2250x + 1500[/tex]
Step-by-step explanation:
Robin braided g inches of a friendship bracelet. Olivia braided 12 less than 1/3 the number of inches robin braided. Select all of the expressions that represent the total number of inches braided by robin and Olivia
I NEED DONE ASAP PLEASEEE
Answer:
Step-by-step explanation:
The correct expressions that represent the total number of inches braided by robin and Olivia is,
⇒ 4 (1/3g - 3)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Robin braided g inches of a friendship bracelet.
And, Olivia braided 12 less than 1/3 the number of inches robin braided.
Now, The total number of inches braided by Robin and Olivia = Number of inches braided by Robin + Number of inches braided by Olivia
Hence, We get;
⇒ g + 1/3g - 12
⇒ 4/3g - 12
⇒ 4 (1/3g - 3)
Thus, The correct expressions that represent the total number of inches braided by robin and Olivia is,
⇒ 4 (1/3g - 3)
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Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation.
Answer:
5x - 8 < 37
Step-by-step explanation:
I'm so sorry if this is wrong
(PLEASE ANSWER ASAP ITS ALREADY LATE I WILL MARK BRAINLYIEST) Mohammad makes and sells jewelry. His monthly goal is to make a profit over $2,500. He sells each piece of jewelry for $25. He has a monthly fixed cost of $1,725. The inequality 25x+1,725>2,500 models this situation. which best describes the meaning of x in the inequality? A.) the number of pieces of new Mohammad must sell to reach his goal
B.) the profit made from 1 month of sales
C.) the profit made from selling 25 pieces of jewelry
D.) the number of pieces of jewelry that Mohammad must sell to recover his monthly fixed costs
Answer:
A
Step-by-step explanation:
It must be the amount he sells since each piece costs $25 and he must reach his goal
Write your answer with no spaces and any fraction with “/“
Answer:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]
Now we plug in numbers accordingly:
[tex]\frac{0 - 1}{0 - 2}[/tex]
Simplify:
[tex]\frac{-1}{-2} \\[/tex]
Simplify:
[tex]\frac{1}{2}[/tex]
Let me know if you have any questions
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y
Answer:
[tex]Volume = \frac{384}{7}\pi[/tex]
Step-by-step explanation:
Given (Missing Information):
[tex]y = x^\frac{3}{2}[/tex]; [tex]y = 8[/tex]; [tex]x=0[/tex]
Required
Determine the volume
Using Shell Method:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
First solve for a and b.
[tex]y = x^\frac{3}{2}[/tex] and [tex]y = 8[/tex]
Substitute 8 for y
[tex]8 = x^\frac{3}{2}[/tex]
Take 2/3 root of both sides
[tex]8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}[/tex]
[tex]8^\frac{2}{3} = x[/tex]
[tex]2^{3*\frac{2}{3}} = x[/tex]
[tex]2^2 = x[/tex]
[tex]4 =x[/tex]
[tex]x = 4[/tex]
This implies that:
[tex]a = 4[/tex]
For [tex]x=0[/tex]
This implies that:
[tex]b=0[/tex]
So, we have:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
[tex]V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy[/tex]
The volume of the solid becomes:
[tex]V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx[/tex]
Open bracket
[tex]V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx[/tex]
Integrate
[tex]V = 2\pi * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0[/tex]
Substitute 4 and 0 for x
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])[/tex]
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])[/tex]
[tex]V = 2\pi * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^7][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*128][/tex]
[tex]V = 2\pi * [{64 - \frac{2*128}{7}][/tex]
[tex]V = 2\pi * [{64 - \frac{256}{7}][/tex]
Take LCM
[tex]V = 2\pi * [\frac{64*7-256}{7}][/tex]
[tex]V = 2\pi * [\frac{448-256}{7}][/tex]
[tex]V = 2\pi * [\frac{192}{7}][/tex]
[tex]V = [\frac{2\pi * 192}{7}][/tex]
[tex]V = \frac{\pi * 384}{7}[/tex]
[tex]V = \frac{384}{7}\pi[/tex]
Hence, the required volume is:
[tex]Volume = \frac{384}{7}\pi[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units.
How to calculate the volume of a solid of revolution by shell method
Let be [tex]f(x) = x^{5/2}[/tex] and [tex]g(x) = 32[/tex], whose point of intersection is [tex](x,y) = (4, 32)[/tex]. Solid of revolution generated by revolving the plane region about the y-axis is defined by the following formula:
[tex]V = 2\pi\int\limits^{32}_0 {y\cdot g(y)} \, dy[/tex] (1)
If we know that [tex]g(y) = y^{2/5}[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi\int\limits^{32}_{0} {y^{7/5}} \, dy[/tex]
[tex]V = 2\pi\cdot \left(\frac{5}{12}\cdot y^{12/5}\right)\left|_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6} \cdot y^{12/5}|\limit_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6}\cdot 32^{12/5}[/tex]
[tex]V = \frac{10240\pi}{3}[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units. [tex]\blacksquare[/tex]
Remark
The statement is incomplete. Complete form is shown below:
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. [tex]y = x^{5/2}[/tex], [tex]y = 32[/tex], [tex]x = 0[/tex].
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The Franklins inherited $3,500, which they want to invest for their child's future college expenses. They use the following formula to calculate the value of their investment over time, where
A = value of the investment after years, P = principal invested, r = annual interest rate, and n = number of times compounded per year.
A = P(1 +
you
71
If they invest the inherited money at an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years?
Answer:
1443.75 i think
Step-by-step explanation:
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
The Franklins inherited $3,500, which they want to invest for their child's future college expenses. Using formula [tex]A = p(1+r/n)^{nt}[/tex]
where A is the value of the investment after t years, P is the principal invested, r is the annual interest rate and n is the number of times compounded per year.
an annual rate of 8.25% with interest compounded monthly, what is the value of the account to the nearest dollar, after 5 years is to be determined.
Statistic is the study of mathematics which deal with relations between comprehensive data.
Using formula [tex]A = p(1+r/n)^{nt}[/tex]
[tex]A = 3500*(1+0.0825/12)^{12*5}\\A = 3500*(1+0.006)^{60}\\A = 3500*(1.006)^{60}\\A = 5011.25\\[/tex]
A ≈ 5011
Thus, Franklin has $5011 after 5 years for an annual rate of 8.25% with interest compounded monthly.
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The sum of the measures of the interior angles of a convex polygon is 720' Classify the polygon by the number of sides.
Answer:
Since the figure with angles measuring 0˚ is 1 lines, then the figure with interior angles of 720˚ has 1+5=6 sides.
Step-by-step explanation: