The values of [tex]a_1[/tex] is 2 and r are -1 of the geometric series and it can be determined by using geometric summation operation.
Given that,
The geometric series is,
2 – 2 + 2 – 2 + 2
We have to determine
What are the values of a1 and r of the geometric series?
According to the question,
Geometric series;2 – 2 + 2 – 2 + 2
The geometric series [tex]a_1[/tex] is the first term of the geometric sequence and r is the common ratio of the geometric series.
The first term of the given geometric series is 2.
And the common difference in the given geometric series is,
[tex]\rm r = \dfrac{a_2}{a_1}[/tex]
Where [tex]a_1[/tex] is the first term of the geometric sequence and [tex]a_2[/tex] is the second term of the geometric sequence.
Then,
The common difference in the given geometric series is,
[tex]\rm r = \dfrac{-2}{2}\\\\r = -1[/tex]
The common ratio in the given geometric series is -1.
Hence, the values of [tex]a_1[/tex] is 2 and r is -1 of the geometric series
For more details about Geometric progression refer to the link given below.
https://brainly.com/question/25959517
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together
What is 39,800,000 in scientific notation? A. 3.98 x 10 B. 398 x 10 C. 3.98 x 10 D. 39.8 x 10
Answer:
3.98 x 10^7
Step-by-step explanation:
Answer:
3.98 x 10⁷Review:
What is scientific notation: It is a number that is between 1-10 and is written in exponents.
Instruction:
We need to re-write the number "39,800,000" that is between 1-10 and is written in exponents.
Solution:
=> 39,800,000 = 398 x 10⁵This is still not in scientific notation form because it is not between 1-10. Let's simplify further.
=> 398 x 10⁵ = 3.98 x 10⁵⁺²=> 3.98 x 10⁷This is now in scientific notation form because it follows the 2 reasons to form a scientific notation.
Conclusion:
Therefore, 3.98 x 10⁷ is the number in scientific notation.
[tex]BrainiacUser1357[/tex]
-3x + 4y = -15 and 4x - y = -19
4x - y = -19
=> -3x + 4y = -154(4x - y) = 4(-19)
=> -3x + 4y = -1516x - 4y = -76
=> 13x = -91=> x = -7Now, let's substitute the 'x' value in the equation.
=> -3(-7) + 4y = -15=> 21 + 4y = -15=> 4y = -21 - 15=> 4y = -36=> y = -9Conclusion:Therefore, the answers are:
x = -7y = -9Hoped this helped.
[tex]BrainiacUser1357[/tex]
Answer:
(-7, -9).
( x = -7 and y = -9)
Step-by-step explanation:
-3x + 4y = -15
4x - y = -19
Multiply second equation by 4:
16x - 4y = -76
Add this equation to the first to eliminate y:
13x = -15 + -76
13x = -91
x = -7.
Substitute this into equation 2:
4(-7) - y = -19
-y = -19 + 28
-y = 9
y = -9.
please help!
the subject is 9th-grade geometry honors
I need help finding the length for this problem.
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. A 12-foot ladder is placed against a vertical Wall of a building with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
Answer: The wall of the ladder reaches 10.91 feet.
Explanation:
Formulate
√12^2 - 5^2
Evaluate
10.90871
Round
10.90871 ≈ 10.91
Therefore, the answer is 10.91 feet.
Answer:
10.91 feet
Step-by-step explanation:
Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.
See the attachment.
Use the Pythagorean Theorem to solve.
Height = 10.91 feet.
Which of the following is NOT a type of fat?
Saturated
Unsaturated
Trans-Fats
Fiber
Answer:
Fiber
Step-by-step explanation:
Fiber is a carbohydrate and not a fat ------ it is all the polysaccharides that humans can't digest.
Answer:
fiber is not a type of fat
answer this pleaseeeee
Answer:
Each goat gets 3 carrots and there are 4 extra carrots left
Step-by-step explanation:
5*3=15
OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.
5*3.8=19
Answer:
the answer is simple 3 remainder of 4
Step-by-step explanation:
so he had 5 goats and 19 carrots
19/5=3.8 which mean 3 and 4 left
Use exponents to write each expression. Then evaluate the expression. 3x3x3x3x3
Step-by-step explanation:
3 to the power of 5
3^5
= 3x3x3x3x3
= 243
Answer:
243
Step-by-step explanation:
3^5=243
Please help fast
5. A mixture of paint is prepared by combining /2 parts of yellow paint with % parts
of blue paint. In the following table, find the missing values.
Parts of yellow paint
Parts of blue paint
Total parts
1/2
3/4
1 1/4
1
4 1/2
8
Answer:
I need helpw with this is too
Step-by-step explanation:
What is the slope-intercept equation for the line below?
5
(5.4)
(0, 2)
y
O A. - - x + 2
B. yo * +2
C. v - -** +2
D. v=x+2
HELP?!!!!
Answer:
[tex]y=\frac{2}{5}x+2[/tex]
Step-by-step explanation:
(x1, y1) = (5, 4)
(x2, y2) = (0, 2)
First, find the slope. The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
I marked the 2 points above in that form, so you can plug those in here:
[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]
The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Plug in the slope we found for m and whichever point you want for (x, y):
[tex]2=\frac{2}{5}0+b[/tex]
Now, solve for b:
[tex]2=0+b\\b=2[/tex]
In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.
Finally, with both the slope and the y-intercept, you can write the equation:
[tex]y=\frac{2}{5}x+2[/tex]
the side length of a square is n cm.
Answer:
(c) Alicia, Bart, and Diego's answers are equivalent
Step-by-step explanation:
The perimeter of a square is the sum of the side lengths
n + n + n + n . . . . . Alicia's answer
= (n +n) +(n +n) = 2n +2n . . . . . Diego's answer
= (2 +2)n = 4n . . . . . . Bart's answer
Alicia, Bart, and Diego's answers are equivalent.
An ice cream machine produced 45 ice cream sandwiches per minute. After reconditing, its speed increased to 54 ice cream sandwich's per minute. By what percent did the speed of the machine increase?
Number of ice cream produced before = 45
Number of ice cream produced after = 54
Find:Percent of speed the machine increase
Computation:Percent of speed the machine increase = [Number of ice cream produced after - Number of ice cream produced before] / Number of ice cream produced before
Percent of speed the machine increase = [(54 - 45) / 45]100
Percent of speed the machine increase = [9 / 45]100
Percent of speed the machine increase = 20%
Learn more:https://brainly.com/question/15013012?referrer=searchResults
Percent of speed the machine increase is 20%
A ratio of a TV's width to its height is 16:9. If its width is 32 inches, what is the length of its diagonal? Give your answer to the nearest tenth of an inch.
Answer:
36.7
Step-by-step explanation:
Simplify: 1/6x + 42 + 2/5x - 8/3 -19
A: 97/30x + 23
B: 21/10x - 23
C: -21/10x + 23
D: 97/30x - 23
Answer:
A: 97/30x + 23
Find the coefficient of z^3 in -7xy^2z^3
Answer:
z^3 in -7xy^2z^3 = -117649/1 = -117649
Step-by-step explanation:
I think sorry if wrong
branliest
Solve.
−4/15x=1.44
Enter your answer as a mixed number in simplest form in the box.
x =
1 Simplify \frac{4}{15}x
15
4
x to \frac{4x}{15}
15
4x \frac{4x}{15}=1.44
4x =1.44
2 Multiply both sides by 1515.
4x=1.44\times 15
4x=1.44×15
3 Simplify 1.44\times 151.44×15 to 21.621.6.
4x=21.6
4x=21.6
4 Divide both sides by 44.
x=\frac{21.6}{4}
x= 4
21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.
x=5.4
x=5.4
The value of x for the given equation in the mixed fraction will be -4 7/5.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.]
It is given that,−4/15x=1.44
Solve the equation for x,
x= -1.44 × 15/4
Convert the decimal values into the fraction as
x=-144/100 × 15/4
x= -27/5
A mixed number is one that includes both a correct fraction and a full number. Convert the given number into the mixed number as
x=-4 7/5.
Thus, the value of x for the given equation in the mixed fraction will be -4 7/5.
Learn more about the equation here,
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#SPJ2
I need these answers in 5 MINUTES PLZ HELP
Answer:
30? I might be wrong soooo
Step-by-step explanation:
15*2=30
I need help with this. 2 to the 6 power, +2 to the 3 power, raised to the 3 power. Please tell me the steps you took to get the answer. and happy. Christmas Eve
Answer: 576
Step-by-step explanation:
(I just know the powers of smaller numbers by memory so...)
2^6(2x2x2x2x2x2) = 64
You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512
Final answer = 512 + 64 = 576
[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]
[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]
[tex]\\ \sf\Rrightarrow 64+512[/tex]
[tex]\\ \sf\Rrightarrow 576[/tex]
Option A is correct
What are the steps to convert a number from standard notation to scientific notation
Answer:
Step-by-step explanation:
Let's take 4200 as an example.
To convert 4200 into scientific notation, follow these steps:
- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10
- Since we moved the decimal to the left the exponent n is positive
n = 3
- Write in the scientific notation form, m × 10^n
= 4.2 × 10^3
Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.
Different cities have different sales tax rates. Here are the sales tax charges on the
same items in two different cities. Complete the tables.
City 1
total cost
item
price
(dollars)
sales tax
(dollars)
(dollars)
8.00
0.48
8.48
paper towels
25.00
1.50
lamp
1.00
pack of gum
laundry soap
12.00
х
Answer:
city 1
paper towels 8.00 0.48 8.48
lamp 25.00 1.50 26.50
pack of gum 1.00 0.06 1.06
laundry soap 12.00 0.72 12.72
46.00 2.76 48.76
city 2
paper towels 8.00 0.64 8.64
lamp 25.00 2.00 27.00
pack of gum 1.00 0.08 1.08
laundry soap 12.00 0.96 12.96
46.00 3.68 49.68
Which equation is perpendicular to y=4x-6 and passes through point (B, 12)
Answer:
asdasd
Step-by-step explanation:
asdasdasd
What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.
algebric expressions formula
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b
That's all i know- rip TvT
Cans of peas are on sale at 2 for $1.19 how much would 12 cans cost
Answer:uh 2 divide 1.19 and add 12 i think
Step-by-step explanation:
Which of the following expressions has a ''x'' term with a coefficient of 1?
x² + 5x + 1
3x² - x - 4
5x² + x - 9
4x²- 7x + 1
Help me please this is due in 3 hour's
hurry plz!!! I need help
Answer: See below
Step-by-step explanation:
The general transformation equation for an absolute value function is
y=a | x−h |+k.
f(x)=|x+4|
Horizontal translation 4 units left (positive value, move left)
f(x)=|x|-4
Vertical translation down 4 units (negative k value, move down)
f(x)=|x-4|
Horizontal translation 4 units right (negative value, move right)
f(x)=|x|+4
Vertical translation up 4 units (positive k value, move up)
Can someone tell me if this is correct if not please correct me in the wrong ones
Answer:
The answer to 2 is "acute".
The answer to 6 is "right triangle"
For 10, it actually is possible. An example is 50, 50, 80
Step-by-step explanation:
An acute triangle is when each angle is less than 90 degrees.
Any triangle with 90 degrees for one angle counts as a right triangle.
all angle measures in a triangle must add up to 180 degrees. Hope this helps!
what does the point (60,20) mean in the graph math
A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.
AnswerBABY BAYBY OOOOH
Step-by-step explanation: