Answer:
OK i am 13 and want to help but I am not sure how to do it but I think if you find a patter then divide it by 609 it might work
Step-by-step explanation:
The number of the terms will be 20 to get the sum of 609.
What is an arithmetic sequence?An arithmetic sequence is a series of numbers in which the difference between the next term to its previous term remains constant for the whole series. This difference is called a common difference.
Given sequence is -1, 2, 5,… the sum is 609.
The number of the terms will be calculated by using the sum formula;-
Sn = ( n / 2 ) [ ( 2a + ( n - 1 )d ]
609 = ( n / 2 ) [ ( 2 x -1 ) [ ( n - 1 ) x 3 ]
609 = ( n / 2 ) [ ( -2 + 3n - 3 ) ]
609 = ( n / 2 ) [ ( -5 + 3n ) ]
1218 = -5n + 3n²
3n² -5n -1218 = 0
n = 20
n = -21
Therefore, the number of the terms will be 20 to get the sum of 609.
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What is the sum of 23/25 + 9/30
Answer:
61/50
Step-by-step explanation:
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12) = (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10) = (9*10)/(30*10) = 90/300
then:
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
The addition of the fraction 23/25 + 9/30 is equal to 61/50.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
'a/b' of a quantity means that quantity is first divided in 'b' parts, and then mutiplied by 'a', or,
Once the denominators become same, the numerators can add up directly, giving us the final result of addition.
1*a = a
1 = b/b
then:
23*25 * 1 = (23/25)(12/12)
= (23*12)/(25*12) =276/300
9/30 *1 = (9/30)(10/10)
= (9*10)/(30*10) = 90/300
Now add the terms;
(23/25) + (9/30) = (276/300) + (90/300)
= (276+90)/300
= 366/300
= 122/100
= 61/50
Therefore, the addition of the fraction 23/25 + 9/30 is equal to 61/50.
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Please help
D=1/3fk solve for k
Answer:
[tex]k = \frac{3D}{f} [/tex]Step-by-step explanation:
[tex]D = \frac{1}{3} fk[/tex]To solve for k first multiply both sides by 3
That's
[tex]3D = fk[/tex]Next divide both sides by f in order to isolate k
We have
[tex] \frac{fk}{f} = \frac{3D}{f} [/tex]Simplify
We have the final answer as
[tex]k = \frac{3D}{f} [/tex]Hope this helps you
what are the prime factorization of 25
Answer:
25 = 5^2
Step-by-step explanation:
Factor the following integer:
25
Hint: | Is 25 divisible by 2?
25 is not divisible by 2 since 25 is odd and 2 is even:
25 = 25 (25 is not divisible by 2)
Hint: | Is 25 divisible by 3?
The sum of the digits of 25 is 2 + 5 = 7, which is not divisible by 3. This means 25 is not divisible by 3:
25 = 25 (25 is not divisible by 2 or 3)
Hint: | Is 25 divisible by 5?
The last digit of 25 is 5, which means 25 is divisible by 5:
25 = 5 5:
25 = 5×5 (5 is not divisible by 2 or 3 since 25 is not)
Hint: | Now try to factor 5. Is 5 prime?
No primes less than 5 divide into it. Therefore 5 is prime:
25 = 5×5
Hint: | Express 25 as a prime power.
There are 2 copies of 5 in the product:
Answer: 25 = 5^2
Assuming there are no reflections or dilations,
explain how you would write the equation of the
function whose graph is sketched below.
ty
4
-8
-4
Answer:
Start with the parent function y=1/x^2.
Add 3 to x in the denominator, because the graph is shifted left 3. Add 1 to the fraction, because the graph is shifted up 1 unit.
Step-by-step explanation:
When a function is transformed, it means the function is either rotated, dilated, rotated or translated.
The equation of the function whose graph is sketched is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
The parent function is an inverse function of the form:
[tex]y = \frac 1{x^2}[/tex]
The parent function is shifted in two ways.
3 units left1 unit upWhen a function is shifted to the left, the rule is:
[tex](x,y) \to (x + h,y)[/tex]
Where:
[tex]h \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x + 3,y)[/tex]
The function becomes
[tex]y' = \frac{1}{(x + 3)^2}[/tex]
When a function is shifted up, the rule is:
[tex](x,y) \to (x ,y+b)[/tex]
Where:
[tex]b \to[/tex] number of units.
So, we have:
[tex](x,y) \to (x ,y+1)[/tex]
The function becomes
[tex]y'' = \frac{1}{(x + 3)^2} + 1[/tex]
So, the graph of the function in the given graph (see attachment) is:
[tex]f(x) = \frac{1}{(x + 3)^2} + 1[/tex]
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Please help
Identify the slope, m, and y-intercept, b, of the equation.
y = x - 4
Identify the slope, m, and y-intercept, b, of the equation . Y=x-4 .Enter the correct values in the boxes . M=_ ; b=_ Graph the line described by the equation y=x-4
Answer:
m = 1 (the slope is 1/1) b = -4 (the y-intercept is (0,-4))
Step-by-step explanation:
First, you have to plot a point at the y-intercept (0,-4). Then go up once and to the right once (since the slope is 1/1). Keep doing this as much times as you want and connect the dots to form a line. See image below.
Two times the sum of half a number and 4 is 24. What is the number?
Answer:
The number is:
16
Step-by-step explanation:
2(a/2 + 4) = 24
2*a/2 + 2*4 = 24
a + 8 = 24
a = 24-8
a = 16
Check:
2(16/2 + 4) = 24
2*16/2 + 2*4 = 24
16 + 8 = 24
Answer:
34
Step-by-step explanation:
Please help asap! Thank you so much!
Answer:
90°Step-by-step explanation:
[tex]Sum\:of\:angles\:= 540\°\\\\b + (b+45)+90+(2b-90)+\frac{3}{2}b =540 \\\\Expand\: the \: brackets \\b\°+b\°+45\°+90+2b\°-90\°+\frac{3}{2} b=540\\\\Collect \:like\:terms\:and\:simplify\\b\°+b\°+2b\°+\frac{3}{2} b +45+90-90\°=540\°\\\\4b\° + \frac{3}{2} b\° +45\° = 540\°\\\\\frac{11}{2} b = 540\°-45\°\\\frac{11b}{2} = \frac{495}{1}\\ Cross\:Multiply\\11b = 49\°5\times 2\\11b = 990\°\\Divide \:both\:sides\:of\:the\:equation\:by \:11\\\frac{11b}{11} = \frac{990}{11}\\ \\b = 90\°[/tex]
does circumference divided by ratio equal to pi?
Answer:
Yes circumference divided by ratio equals to pi
Answer:
Step-by-step explanation:
Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years
Answer: 4 years
Step-by-step explanation:
144 + 8(4) = 176
108 - 5(4) = 88
88 x 2 = 176
The girl's basketball team played a game this Wednesday. Here are some of the statistics for the players from
the game
The individuals in this set are:Choose 1 Answer
A.Basketball Games
B.Basketball Scores
C.Basketball Players
This data contains:Choose 1 Answer
A. 3variables,1 of which is quantitative
B. 3 variables,2 of which are quantitative
C. 5 variables, 1 of which is quantitative
D. 5 variables, 2 of which are quantitative
The individuals in this set are C) Basketball players
This is because it's listing all the player names with their associated stats.
====================================================
The data contains B) 3 variables, 2 of which are quantitative
The variables are
free throw percentageassistsclassThe first two variables are quantitative as they deal with numeric values, and it makes sense to do things like find the average. The last variable is qualitative. It is also an ordinal variable because we can order the labels from freshman to senior.
This data on the statistics from the basketball game contains 3 variables, 2 of which is quantitative.
What are quantitative variables?A quantitative variable is a variable that can be used to show the degree of magnitude. This means that quantitative variables can be represented with numbers.
The quantitative variables are free throw percentage and the number of assists.
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Your parents rent a car for vacation. They pay a $100 deposit and $50 a day. How much will they pay after 5 days ? what is the slope for this questio
Answer:
350
Step-by-step explanation:
First off, remember that $100 is only added once as a deposit. Now we need to figure out what $50 times 5 is. We can calculate that is equals $250
Now we need to add the deposit onto the total.
250+100= 350
Hope this helped!
what are points on the same line called
Answer:
parallell
Step-by-step explanation:
Answer:
collinear points
Step-by-step explanation:
A line is defined by two points and is written as shown below with an arrowhead. Two lines that meet in a point are called intersecting lines. A plane extends infinitely in two dimensions.
The line m has a slope of 3/4 and passes through the point (-2, 1). Show that the point (82, 63) does or does not
lie on line m. Justify your answer.
Answer: It does not lie on the line m.
Step-by-step explanation:
First using the slope and the point find an equation in slope intercept form and plot in the coordinates (82,63) to see if it fits. If it fits then it lies on line m and if doesn't then it doesn't like on line M.
The slope intercept formula is y = mx +b where m is the slope and b is the y-intercept, so we need to use the coordinates (-2,1) to find the y-intercept.
Plot the coordinates and the slope into the formula to solve for b.
1 = 3/4(-2) + b
1 = -6/4 + b
+6/4 +6/4
b = 10/4
y = 3/4x + 10/4
63 = 3/4(82) + 10/4
63 = 64
Write 15^-6 using a positive exponent
Answer:
[tex]\frac{1}{15^{6}}[/tex]
Step-by-step explanation:
If you see a negative sign in the power, you will place the number and power over 1:
15^-6 = 1/(15^6)
[tex]\frac{1}{15^{6}}[/tex]
Simplify. Solve 15^6:
15^6 = 15 * 15 * 15 * 15 * 15 * 15 = 11,390,625
1/11,390,625 is your simplified answer.
However, note that you are solving for a positive exponent. Your answer will be:
[tex]\frac{1}{15^{6}}[/tex]
how do you multiply(2x+3)(x-7)
Answer:
2x(x-7)+3(x-7)
2x²-14x+3x-21
2x²-11x-21
Find each product.
1) (5n - 5)(4n - 4)
Answer:
20n² - 40n + 20
Step-by-step explanation:
(5n - 5)(4n - 4)
= 5n(4n) + 5n(-4) - 5(4n) - 5(-4)
= 20n² - 20n - 20n + 20
= 20n² - 40n + 20
Another way to do this:
(5n - 5)(4n - 4)
= 5(n - 1) * 4(n - 1)
= 20(n - 1)(n - 1)
= 20(n - 1)²
= 20(n² - 2n + 1)
= 20n² - 40n + 20
Describe how the shape moves to get from it's position in each frame to the next. Select all ways the rectangle could have been rotated to get from fame 1 to fame 2.
Answer:
40 DEGREES COUNTERCLOCKWISE
140 DEGREES CLOCKWISE
Step-by-step explanation:
To get from frame one to frame two you can either rotate the object in a clockwise or anticlockwise direction.
We can use the edges of the rectangle to monitor the degree with which it is rotated.
If we rotate in a clockwise direction, it means that we are rotating from the left to the right; that is in the direction of the clock. If we are turning this way, we would have to turn the rectangle through 140 degrees to get it into frame 2's position
If we are rotating in the anticlockwise direction (against the direction of the clock) we are turning it from the right to the left. We will be turning it by only 40 degrees to get it into frame 2's position
Aiden is going to make salsa. He bought 2.3 pounds of tomatoes, a 3.75 pound bag of
onions, and 2 bags of peppers that each weighed 1.4 pounds. How many pounds of
ingredients did he purchase?
Answer:
8.85
Step-by-step explanation:
2.3+3.75+1.4+1.4
A thread is wound 200 times round a reel of diameter 5 cm. Use the value 3 for it to find the approximate length of the thread in metres.
Answer:
Length of the thread = 30 metres
Step-by-step explanation:
Length of the thread in one round of a reel = Circumference of the reel
C = [tex]2\pi r[/tex]
Since radius of the reel = [tex]\frac{\text{Diameter}}{2}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5 cm
Circumference of the reel = 2(π)(2.5)
= 5π
= 5×3
= 15 cm
Length of the thread wound in one round around the reel = 15 cm
Since, thread is wound 200 times round a reel, length of the thread
= 200 × 15
= 3000 cm
≈ 30 metres
Therefore, Option (B) will be the answer.
Mrs.li wants to compare her students test scores to the school average. She created a table to help her. Which list orders the students from least to highest?
Answer:
Cierra and fionna
Step-by-step explanation:
because their under 0
and 0 is the school average
Answer:
B uWu
Step-by-step explanation:
a(2x+3) = 9x+15+x. Solve for a
Step-by-step explanation:
[tex]\huge{\purple{\underline{\underline{\bf{\pink{Answer}}}}}}[/tex]
[tex]a(2x + 3) = 9x + 15 + x \\ a = \frac{5(2x + 3) }{2x + 3} \\ a = 5 \\ [/tex]
Hoor it helps
The solution of the given expression a(2x+3) = 9x+15+x is 5.
What is an expression?
A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Given the expression,
a(2x+3) = 9x + 15 + x
Divide both sides by 2x + 3
a = (9x + 15 + x)/(2x + 3)
a = (10x + 15)/(2x + 3)
a = 5(2x + 3)/(2x + 3)
a = 5
Hence "The solution of the given expression a(2x+3) = 9x+15+x is 5".
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Which of the following represents a positive number?
Answer: OPTION C
Step-by-step explanation:
A positive number must be greater than (>) 0, so lets check which fits this condition.
--------------------------------------------
A.
7.09+(-7.28)=-0.19 NEGATIVE
B.
-12+11.5=-0.5 NEGATIVE
C.
-4.8-(-6.1)=1.3 POSITIVE
D.
-21-(-18.5)=2.5 NEGATIVE
--------------------------------------------
C represents positive number
Hope this helps!! :)
Please let me know if you have any question
2p-9=5p+12 what’s the value of p
Answer:
-7
Step-by-step explanation:
2p-9=5p+12
2p-9-12=5p
-21=5p-2p
-21=3p
p= -21/3
p= -7
Answer: P=51
--
Steps for Solving Linear Equation: 20−9=5p+12
--
Subtract 9 from 20 to get 11.
[tex]11=5p+12[/tex]
Swap sides so that all variable terms are on the left hand side.
[tex]5p+12=11[/tex]
Subtract 12 from both sides.
[tex]5p=11-12[/tex]
Subtract 12 from 11 to get −1.
[tex]5p=1[/tex]
Divide both sides by 5.
[tex]p=5-1[/tex]
Fraction 5−1≈−0.2 can be rewritten as −51=−0.2 by extracting the negative sign.
[tex]p=-51[/tex]
What is the solution to 6(n−2)−8=22+4(2−n)?
Answer:
n=5
Step-by-step explanation:
6(n-2)-8=22+4(2-n)
open brackets
6n-12-8=22+8-4n
collect like terms
6n+4n=22+8+12+8
10n=50
n=50/10
n=5
Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f - g)
(x), and then find the domain of the result.
Answer:
work is pictured and shown
Domain: all real numbers
Click and drag like terms onto each other to simplify fully. 1+x^2-3+2y+7x^2+3+3y
Answer:
8x^2 + 5y + 1
Step-by-step explanation:
1 + x^2 - 3 + 2y + 7x^2 + 3 + 3y
group like terms
= x^2 + 7x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 2y + 3y + 1 - 3 + 3
add similar items
= 8x^2 + 5y + 1 - 3 + 3
= 8x^2 + 5y + 1
Can someone help me thanks
Answer:
-142
Step-by-step explanation:
So we have the function:
[tex]f(x)=-x^2-9x+20[/tex]
To find f(9), substitute x for 9:
[tex]f(9)=-(9)^2-9(9)+20[/tex]
Square the first term and multiply the second:
[tex]f(9)=-81-81+20[/tex]
Add:
[tex]f(9)=-142[/tex]
And that's our answer :)
Un terreno A, tiene un largo de 120 m. Y un ancho de 200 m. . Si es 3 veces más largo y 4 veces más ancho que el terreno B. ¿Cuál es el área del terreno B?
Answer:
El área del terreno B es 2000 m.
Step-by-step explanation:
Tenemos que el terreno A es:
[tex]L_{A}[/tex]: largo = 120 m
[tex]A_{A}[/tex]: ancho = 200 m
Y que el terreno B es:
Largo:
[tex] L_{A} = 3L_{B} [/tex]
[tex] L_{B} = \frac{L_{A}}{3} = \frac{120 m}{3} = 40 m [/tex]
Ancho:
[tex] A_{A} = 4A_{B} [/tex]
[tex] A_{B} = \frac{A_{A}}{4} = \frac{200}{4} = 50 m [/tex]
Entonces, asumiendo que el terreno es un rectángulo, el área del terreno B es:
[tex] a_{B} = L_{B}*A_{B} = 40 m*50 m = 2000 m [/tex]
Por lo tanto, el área del terreno B es 2000 m.
Espero que te sea de utilidad!
Which of the following values are in range of the function graphed below? Check all that apply. A. 2 B. -6 C. 1 D. -2 E. -1
Answer:
B. -6
D. -2
E. -1
Step-by-step explanation:
The range is the values for the output or y values
y is between -6 and 0 including the endpoints
-6 ≤y≤0
A. 2 not included
B. -6 included
C. 1 not included
D. -2 included
E. -1 included
Lily just paid off a $400 loan. She had to pay $60 in interest at a simple annual interest rate of 5%. How many years did Lily have this loan?
Answer:
I=prt,,60=400*0.05t,,t=3 ..................
this is what i got i hope it is use full to you <3
Step-by-step explanation:
Answer:
B/3
Step-by-step explanation:
yes dont ask. I KNOW ITS RIGHT