Merhaba ;))
Answer:
4.952
#Başarılar
Answer:
4952Step-by-step explanation:
[tex]\begin{matrix}\space\space&2&3&8&9&\textbf{1}\\ -&1&8&9&3&\textbf{9}\end{matrix}\\\mathrm{The\:bottom\:number\:is\:larger\:than\:the\:upper\:number.\:\:\\Try\:to\:'borrow'\:a\:digit\:from\:the\:left.}\\\mathrm{Borrow\:}1\mathrm{\:from\:}9\mathrm{.\:\:The\:remainder\:is\:}8\\\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&10\\ \space\space&2&3&8&\textbf{\linethrough{9}}&1\\ -&1&8&9&\textbf{3}&9\end{matrix}[/tex]
[tex]\begin{matrix}\space\space&\space\space&\space\space&\space\space&8&\textbf{11}\\ \space\space&2&3&8&\linethrough{9}&\textbf{\linethrough{1}}\\ -&1&8&9&3&\textbf{9}\end{matrix}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{8}&11\\ \space\space&2&3&8&\textbf{\linethrough{9}}&\linethrough{1}\\ -&1&8&9&\textbf{3}&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\space\space&\textbf{5}&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&8&11\\ \space\space&2&\textbf{3}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&10&\space\space&8&11\\ \space\space&\textbf{\linethrough{2}}&3&8&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{\space\space}&\space\space&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{13}&\space\space&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{3}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&10&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&8&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{\space\space}&\space\space&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{\space\space}&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&12&\textbf{18}&8&11\\ \space\space&\linethrough{2}&\linethrough{13}&\textbf{\linethrough{8}}&\linethrough{9}&\linethrough{1}\\ -&1&8&\textbf{9}&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&\textbf{9}&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&1&\textbf{12}&18&8&11\\ \space\space&\linethrough{2}&\textbf{\linethrough{13}}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&1&\textbf{8}&9&3&9\end{matrix}}{\begin{matrix}\space\space&\space\space&\textbf{4}&9&5&2\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&\textbf{1}&12&18&8&11\\ \space\space&\textbf{\linethrough{2}}&\linethrough{13}&\linethrough{8}&\linethrough{9}&\linethrough{1}\\ -&\textbf{1}&8&9&3&9\end{matrix}}{\begin{matrix}\space\space&\textbf{0}&4&9&5&2\end{matrix}}\\\\=4952[/tex]
What is the sum to 'n' terms of the series √5,√20,√45,√80,.....?
Answer:
Sₙ = √5/2 n (n + 1)
Step-by-step explanation:
Given AP:
√5,√20,√45,√80,...Rewriting as:
√5,√4*5,√9*5,√16*5,...√5, 2√5, 3√5, 4√5,..., n√5Common difference:
d= 2√5 - √5 = √5Sum of n terms:
Sₙ = 1/2n (a₁ + aₙ) =1/2n (√5 + √5 + (n-1)√5) =1/2n (n + 1)√5=√5/2 n (n + 1)Sₙ = √5/2 n (n + 1)
Graph -7x+5y=35. khan acadmy forms of linear equations question. pls show work (10 points)
Answer:
Below
Step-by-step explanation:
● -7x + 5y = 35
Add 7x to both sides
● -7x +7x + 5y = 35+7x
● 5y = 7x + 35
Divide both sides by 5
● 5y/5 = (7x+35)/5
● y = 1.4x + 7
The graph of the function:
Answer:
Step-by-step explanation:
-7x+5y=35
write the equation in the form : y=mx+b
5y=35+7x ( divide both sides by 5)
y=7/5 x +35/5
y=7/5 x +7
if y=0 then 7/5 x+7=0 ⇒7/5 x=-7 ⇒x=-35/7 ⇒x=-5
x=0 then y=7
two points (0,7) and (-5,0)
please help with the question asked
Answer:
C, None of the above
Step-by-step explanation:
Step 1: Expand the brackets
-7 - 3(-4e-3)
-7 + 12e + 9
Step 2: Collect like terms
12e + 2
Because the answer is not a or b the answer is 'None of the Above'
Hey there! I'm happy to help!
Let's use the distributive property to undo the parentheses. We multiply the number next to the parentheses by each number inside of the parentheses.
-7+3(-4e-3)
-7-12e-9
We combine like terms.
-16-12e
This means that Answer B is incorrect. Answer A could still be correct though as it could have equal value to -16-12e.
-4(3e+4)
We use distributive property.
-12e-16
We see that these have the same value, so the correct answer is A.
Have a wonderful day! :D
Find the surface area and volume for the following composite figure.
Step-by-step explanation:
volume = lbd + πr²h
l = 12 , b = 7 , d = 4 , r = 3 and h = 10
V = 336 + 90π
surface area = [2(lb + ld + bd) - πr²] - [2πrh + πr²]
= 320 - 9π - 60 - 9π
= 260 - 18π
4. Each small square in the graph paper represents 1 square unit. Find the area of each
figure. Explain your reasoning.
A
B
Answer: A = 6.5
B = 10.
Step-by-step explanation:
First, remember that when we have a triangle of height H and base B, the area of the triangle is:
Area = B*H/2.
A:
First, count the complete squares:
We have 6 complete squares.
Now the diagonal part:
The diagonal connects a section of 1 by 3 squares, and the shaded area is a right triangle
Then the shaded area will be half of 1 by 3.
this is 1.5 squares.
The total area of A is:
6 + 1.5 = 7.5 squares.
B:
This is more complicated.
At the beginning, we have 4 completed squares in the top right.
At the left, we have a 2 by 4 = 8 square region, where the shaded part is only a triangle rectangle.
Then the area of this triangle is half of 8 squares:
8/2 = 4 squares.
Last, at the bottom, we have two times a 2 by 1 = 2 square region, where the shaded part is a triangle rectangle.
Then the area of each triangle is 2/2 = 1 square.
And we have two of them, so there are 2 squares here.
Then the total area is:
A = 4 + 4 + 1 + 1 = 10 squares.
Each small square In the graph paper represents 1 square unit
round 5.659 to the nearest hundredth
Answer:
Your answer will be 5.66
Write the rule that transforms p(x) into q(x), where q(x)=2p(x+3)−6
Answer:
The graph of p(x) stretch vertically by factor 2 and shifts 3 units left and 6 units down to get q(x).
Step-by-step explanation:
It is given that p(x) and q(x) are two functions such that
[tex]q(x)=2p(x+3)-6[/tex] ...(1)
The translation is defined as
[tex]q(x)=kp(x+a)+b[/tex] .... (2)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2) we get
k=2>1, so the graph of p(x) stretch vertically by factor 2.
a=3>0, so the graph of p(x) shifts 3 units left.
b=-6<0, so the graph of p(x) shifts 6 units down.
Therefore, the graph of p(x) stretch vertically by factor 2 and shifts 3 units left and 6 units down to get q(x).
Find each measurement. (The figure is not drawn to scale.)
Answer:
a. m∠Z = 62
b. [tex]m\widehat{WZ}[/tex] = 118
c. m∠W = 62
d. [tex]m\widehat{WX}[/tex] = 122°
Step-by-step explanation:
a. The given parameters are;
m∠X = 118
[tex]\overline {WZ} \cong \overline {YZ}[/tex]
m∠Y = 120
m∠X + m∠Z = 180 Angles in opposite segment are supplementary
m∠Z = 180 - m∠X = 180 - 118 = 62
m∠Z = 62
b. Given [tex]\overline {WZ} \cong \overline {YZ}[/tex] line drawn from W to Y forms isosceles triangles WZY, with base angles ∠WYZ and ∠YWZ equal (Base angles of an isosceles triangle)
Therefore
∠WYZ + ∠YWZ + m∠Z = 180 (Angle sum theorem)
∠WYZ = ∠YWZ (Substitution property of equality)
∠WYZ + ∠YWZ + m∠Z = ∠WYZ + ∠WYZ + m∠Z =180
2×∠WYZ + 62 =180
2×∠WYZ = 180 -62 = 118°
∠WYZ = 118°/2 =59
∠WYZ = ∠YWZ = 59
[tex]m\widehat{WZ}[/tex] subtends chord WZ at the center = ∠WYZ subtends chord WZ at the circumference
∴ 2×∠WYZ = [tex]m\widehat{WZ}[/tex]
[tex]m\widehat{WZ}[/tex] = 2×59 = 118
[tex]m\widehat{WZ}[/tex] = 118
c. m∠X + m∠Y + m∠Z + m∠W = 360 (Sum of angles in a quadrilateral)
m∠W = 360 - (m∠X + m∠Y + m∠Z) = 360 - (118 + 120 + 60) = 62
m∠W = 62
d. [tex]m\widehat{WZ}[/tex] + [tex]m\widehat{WX}[/tex] = [tex]m\widehat{XWZ}[/tex] (Angle addition postulate)
[tex]m\widehat{XWZ}[/tex] = 2 × ∠Y (Angle subtended at the center = 2 × Angle subtended at the circumference
∴ [tex]m\widehat{XWZ}[/tex] = 2 × 120 = 240
[tex]m\widehat{WX}[/tex] = [tex]m\widehat{XWZ}[/tex] - [tex]m\widehat{WZ}[/tex]
[tex]m\widehat{WX}[/tex] = 240 - 118 = 122°
[tex]m\widehat{WX}[/tex] = 122°.
For k= -3 and n= -4, -K2 - (9k – 3n) + 6n=
(Simplify your answer.)
Answer: -(-3)2-(9(-3)-3(-4))
6+27-12
Step-by-step explanation:
Two negatives make a positive and a negative times a positive is negative
Two trains leave stations 468 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Answer:
2.6 hours
2 hours 36 minutes.
Step-by-step explanation:
Let the time be x hours
we know
distance = speed*time
speed of one train = 85 miles/hour
time = x hours
distance traveled by one train = 85*x = 85x miles
speed of one train = 95 miles/hour
time = x hours
distance traveled by other train = 95*x = 95x miles
__________________________________________________
Given that
Two trains leave stations 468 miles apart at the same time and travel toward each other
Thus, together cover 468 miles.
distance traveled by one train + distance traveled by other train = 468
85x+95x = 468
=> 180x = 468
=> x = 468/180 = 2.6
Thus, it will take 2.6 hours to meet each other
we know 1 hour = 60 minutes
0.6 hour = 60*0.6 minutes = 36 minutes
Thus, we can also say that it took 2 hours 36 minutes to meet each other.
What two numbers should you break 10 down to ?
Answer:
5
Step-by-step explanation:
Answer:
perhaps 2 and 5 depending on what you are asked to do
Step-by-step explanation:
10 can be broken down into 2 and 5 if you are looking for prime factors.
In the triangle below y=? Round to the nearest tenth
Answer:
y = 51.3°Step-by-step explanation:
To find y we use tan
tan∅ = opposite/ adjacent
From the question
8 is the adjacent
10 is the opposite
Substitute the values into the above formula
That's
[tex] \tan(y) = \frac{10}{8} [/tex]
[tex]y = \tan^{ - 1} ( \frac{10}{8} ) [/tex]
y = 51.34019
We have the final answer as
y = 51.3 to the nearest tenthHope this helps you
if 3x+5/x-=16, what is x?
Answer:
x=5, x= 1/3
Step-by-step explanation:
Answer :
[tex]x = \frac{1}{3} \\ x = 5[/tex]
23h Sam will be going shopping on Dec 26. He currently has $150. He wants to buy pants for $90 and
t-shirts for $12.50 each. He expects to get at most $150 for Christmas. How many t-shirts can he expect to
purchase?
Answer:
4 t shirts.
Step-by-step explanation:
Given that money available with Sam = $150
Price for pants = $90
Price of each t shirt = $12.50
To find:
How many t shirts can he expect to purchase?
Solution:
Price for 2 pants = $180 which is more than $150.
Therefore, he can not buy more than 1 pants.
The remaining amount after buying pants = $150 - $90 = $60
This amount will be used for buying t-shirts.
Number of t-shirts that can be bought:
[tex]\dfrac{60}{12.5} \approx 4.8[/tex]
But answer in decimal points for number of t shirts is not possible and he does not have more money.
It means, he can buy at most 4 t-shirts.
PLEASE I NEED HELP ASAP PLEASE
Answer:
work is shown and pictured
simplify (x)^3(-x^3y)^2
Answer:
[tex] {x}^{3} \times {x}^{6y } = {x}^{3 + 6y} [/tex]
Answer: x^9 y^2
the way it works is you need to multiply the x's then answer
y=-3x + 4; y=-3x + 40
Is it parallel or perpendicular
Consider the formula for the slope between two coordinate points, m, shown below. Which of the following equations is equivalent to the slope formula?
Answer:
Answer is A
Step-by-step explanation:
[tex]m = y2 - y1 \div x2 - x1 \\ y2 = m(x2 - x1) + y1[/tex]
if x -1 = 2y/3,then y=
Answer:
The answer is
[tex]y = \frac{3x - 3}{2} [/tex]Step-by-step explanation:
[tex]x - 1 = \frac{2y}{3} [/tex]To solve for y cross multiply
That's
3( x - 1) = 2y
2y = 3x - 3
Divide both sides by 2 to make y stand alone
That's
[tex] \frac{2y}{2} = \frac{3x - 3}{2} [/tex]We have the final answer as
[tex]y = \frac{3x - 3}{2} [/tex]Hope this helps you
Answer:
[tex]\Large \boxed{{y = \frac{3}{2}(x-1)}}[/tex]
Step-by-step explanation:
We have to solve for the y variable.
The variable must be isolated on one side of the equation.
x - 1 = [tex]\frac{2y}{3}[/tex]
Multiply both sides of the equation by 3.
3(x - 1) = 2y
Divide both sides of the equation by 2.
[tex]\frac{3}{2}[/tex] (x - 1) = y
The difference between a number squared, and that same number is 30. What is the number
Answer:
n^2 = n + 30
n^2 -n -30 = 0
Solving by quadratic formula
numbers equal 6 AND -5
DOUBLE -CHECK
6^2 -6 -30 = 0
36 -6 - 30 = 0 CORRECT
-5^2 - -5 -30 = 0
25 +5 -30 = 0 CORRECT
Two numbers 6 and -5
Step-by-step explanation:
Joey participated in a standardized reading test. He scored in the middle of the third stanine in a normal distribution. All of the following are incorrect except:_________. a. His score was the median for the group that participated in the test.b. His t-score is 40.c. His score fell at +2 standard deviationd. His score fell at a z-score of -3.
Answer:
b. His t-score is 40.
Step-by-step explanation:
The middle of the third stanine in a normal distribution means that the standard of nine that is applied has the middle of the third count.
It means that if we divide the normal distribution with the standard of nine we will find the score to be the middle of the third division.
So it will be (1/3*9=3) more than 3.
Which in normal distribution will be more than 30.
The t distribution is approximately normal when the number of degrees of freedom is greater than 30 .
So the best answer is that His t-score is 40 ( choice b).
The number of rainbow smelt in Lake Michigan had an average rate of change of −19.76 per year between 1990 and 2000. The bloater fish population had an average rate of change of −92.57 per year during the same time. If the initial population of rainbow smelt was 227 and the initial population of bloater fish was 1,052, after how many years were the two populations equal? The linear function that models the population of rainbow smelt is y1 = −19.76x + 227, where x = the years since 1990 and y1 = the number of rainbow smelt. The linear function that models the population of bloater fish is y2 = . The linear equation that determines when the two populations were equal is –19.76x + 227 = –92.57x + 1052 . The solution is x = years.
Answer:
x= 11.33 years
Step-by-step explanation:
Y1= −19.76x + 227
Y2= = –92.57x + 1052
Y1 = Y2
–19.76x + 227 = –92.57x + 1052
Collect like terms and Simplify
-19.76x + 92.57x = 1052 - 227
72.81x = 825
Divide both sides by 72.81
x= 825 / 72.81
=11.33 years
Therefore,
x= 11.33 years
The solution for x is 11.33 years.
Given,
The linear function that models the population of rainbow smelt is[tex]y_{1} = -19.76x + 227[/tex]
The linear function that models the population of bloater fish is [tex]y_{2} =-92.57x + 1052[/tex]
Since, According to the question,
[tex]y_{2}=y_{1}[/tex]
[tex]-19.76x + 227 =-92.57x+1052[/tex]
On solving for x
[tex]-19.76x + 92.57x = 1052 - 227[/tex]
[tex]72.81x = 825[/tex]
Divide both sides by 72.81
[tex]x= \dfrac{825}{72.81}[/tex]
[tex]x=11.33 \ years[/tex]
Hence the solution for x is 11.33 years.
For more details follow the link:
https://brainly.com/question/11897796
3x+5=26 find the value of x
Answer:
7
Step-by-step explanation:
Here is ur answer mate
[tex]3 x+ 5 = 26[/tex]
[tex]3x = 21[/tex]
[tex]x = 7[/tex]
Hope it helps u
Answer:
x=7
Step-by-step explanation:
Can someone please help solve this? Could you also show the formula as to how it is solved?
Step-by-step explanation:
the opposite side is AC
A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get 7/12. What is the number?
Answer:A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 . What is the number.
Step-by-step explanation:Let p/q (q ≠ 0) denote the rational number. Multiplying it by 5/2 gives (p/q)(5/2). Add 2/3 to the product and we get (p/q)(5/2) + 2/3 . The result is given to be -7/12.
∴ (p/q)(5/2) + 2/3 = -7/12 …………………………..……………………………………..(1)
Transposing 2/3 to right-hand-side and changing the sign to negative,
(p/q)(5/2) = -2/3 -7/12 = -(2/3 + 7/12) =- (2 x 4 + 7)/12 (Taking L.C.M.)
Or, (p/q)(5/2) = -(8+7)/12 = - 15/12
Multiplying both sides by 2/5,
(p/q)(5/2) x (2/5) = -15/12 . 2/5 = -(3x5)/(3x4) . 2/5 =- 5/4 .2/5
Since 2/5 is the multiplicative inverse of 5/2, 5/2 x 2/5 = 1 and we obtain
(p/q).1 = -1/4 . 2/1 = -1/2
⇒ p/q = -1/2 which is a negative rational number in which p = 1 and q = 2 ≠ 0 .
∴ the rational number = -1/2
please pick out of ABCDE :) please help :) Kiran records the height of each plant―those with a colored filter and those without. A. asking a question B. performing an investigation C. collecting data D. providing explanations E. communicating results
Answer:
c
Step-by-step explanation:
you have to collect the data to record the height of each plant.
Given fx ( ) = 2x 2 + 4 f 2 , determine ( ) f −1 and () .
Answer:
12 and 6Step-by-step explanation:
The equation is not properly formatted presumably here is the format.
Given
[tex]f(x) = 2x^2 + 4[/tex]
determine f(2) , and f(−1).
So we are expect to perform substitution operation and return an answers for values of x= 2 and x= -1
1. When x= 2 we have
[tex]f(2) = 2*2^2 + 4\\\\f(2)= 2*4+4\\\\f(2)= 8+4\\\\f(2)= 12[/tex]
2. When x= -1 we have
[tex]f(-1) = 2*-1^2 + 4\\\\ f(-1)= 2*1+4\\\\ f(-1)= 2+4\\\\ f(-1)= 6[/tex]
PLEASE help me. I am stuck on this question for a long time. This is a graph problem
Answer:
Plot 1
Step-by-step explanation:
To ascertain which histogram represents the given data, divide the data into class intervals that should not over-lap, then find how many data fits into the class to get the frequency of each class. Lastly, compare the frequency of each class to the corresponding bar representing each class interval on the graph.
Thus, the class intervals and their frequency would be:
Class interval => frequency
[tex] 0 - 4: 3 [/tex]
[tex] 5 - 9: 4 [/tex]
[tex] 10 - 14: 4 [/tex]
[tex] 15 - 19: 6 [/tex]
[tex] 20 - 25: 3 [/tex]
Comparing these with the graphs given as options, plot 1 has a histogram that represents the data given.
Write (x - 3) (x + 2)^2 in standard form. Answer choices in picture attached.
Greetings from Brasil...
Let us solve by parts. Power first
(X + 2)² = X² + 2.2.X + 2² = X² + 4X + 4
Rewriting
(X - 3).(X² + 4X + 4) applying distributive property
X³ + 4X² + 4X - 3X² - 12X - 12
X² + X² - 8X - 12Erick just answered a help-wanted ad. The ad states that the job pays $45K 1 point
annually. What would Erick's monthly salary be if he gets this job?
Answer:
Per month salary = $3,750
Step-by-step explanation:
Given:
Annual pay = $45,000
Find:
Per month salary
Computation:
Number of month in a year = 12
Per month salary = Annual pay / Number of month in a year
Per month salary = $45,000 / 12
Per month salary = $3,750