Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}
Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.
That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}
Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.
a man spent 58% of his income and the amount of money left was $210. Find his income
Answer:
500 $
Step-by-step explanation:
[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]
[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]
[tex]\frac{21}{50}x=210\\[/tex]
[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]
x=500
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IM TIMED HELP PLS , solve the system of equations using substitution method , y = 2x + 8 , y = 4x - 2
Answer:
x=5, y=18
Step-by-step explanation:
y=2x+8
x= (y-8)/2
Substitute in second equation,
y= 4((y-8)/2) -2
y= 2(y-8)-2
y= 2y-16-2
16+2=2y-y
18=y
Replace y value in first equation to find x,
18= 2x+8
18-8=2x
10=2x
5=x
Please write down the steps.
Answer:
are you beginer band
Whats (2^–1)^3 with the same base but one exponent??
Step-by-step explanation:
[tex] ({2}^{ - 1} )^{3} [/tex]
[tex] {2}^{ - 3} [/tex]
........
Answer:
2^-3
Step-by-step explanation:
When multiplying two exponents with the same base, we basically add the exponents.
I am a two digit number
My ones digit is equal to 7minus 3
My tens digit and my ones when added together equals to an even number
What number am I?
Pls help! What is the expression in simplest radical form?
√504
I need help on this will give brainlist
John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?
Answer:
24
Step-by-step explanation:
13+11=24
Amount of cd after 3 years using simple interest formula if the principle is $2,000 and the interest 4%
Answer:
Amount of cd after 3 years=2240
Step-by-step explanation:
principal==$2000
simple interest=4%
interest /year =80
for 3 years =80 x 3 = 240
Which ones no long answer just which one
A,C,D
(going top left to bottom right)
(a) b
(c) (d)
e f
Suppose that COP and TOD are vertical angles, m COP = 11x - 17
and m TOD = 9x + 11.
Determine the Measure of COD
Determine the measure of POT
Answer:
Step-by-step explanation:
If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.
m COP = m TOD
Given
COP = 11x - 17
TOD = 9x + 11.
Substitute:
11x-17 = 9x+11
11x-9x = 11+17
2x = 28
x = 28/2
x = 14
Get <COD
<COP = 11(14)-17
<COP = 154-17
<COP = 137
<COD = 180-<COP
<COD = 180-137
<COD = 43°
Similarly:
<POT = 180 - <TOD
<POT = 180 - [9(14)+11]
<POT = 180 - 137
<POT = 43°
Is -4/-5 positive or negative
Answer:
Positive
Step-by-step explanation:
A negative divided by a negative can cancel out to make a positive. So, [tex]\frac{-4}{-5} = \frac{4}{5}[/tex].
I hope this helps!
Answer:
i believe its positive because 2 negatives make a positive
Which equation is true
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
a fraction is basically saying the numbers are being divided so if you do -20 divided by 2 then you would get negative 10 since a negative divided by a positive would be a negative.
what is the expanded form of 1 to the 10th power?
Answer:
1
Step-by-step explanation:
since 1*1 will always be 1, 1 raised to any power will be 1.
1) x- y=-2
4x - y = 1
Answer:
x=1 y=3
Step-by-step explanation
There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many student clubs are boys?
Answer:
14
Step-by-step explanation:
Which of the following numbers could be the probability of an event? 1, 1.39, -0.53, 0, 0.02, 0.26
Answers:
A) 1D) 0E) 0.02F) 0.26If x is a probability value, then [tex]0 \le x \le 1[/tex]
A probability of 0 means "impossible" while a probability of 1 means "100% certain".
Translate the sentence into an equation.
Nine less than the product of 8 and a number is 7.
Use the variable b for the unknown number please help me out
After translate the sentence into equation, the equation is,
⇒ 8b - 9 = 7
Where, b is any number.
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;
The algebraic expression is,
⇒ Nine less than the product of 8 and a number is 7.
Now, Let a number = b
So, We can formulate the mathematical expression as;
⇒ 8 × b - 9 = 7
⇒ 8b - 9 = 7
Thus, The equation is,
⇒ 8b - 9 = 7
Learn more about the mathematical expression visit:
brainly.com/question/1859113
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Which is the value of this expression when a=5 and k=-2?
[3^2a^-2]^k
[3a^-1]
Answer: 125/27 as a decimal 4.62963
Step-by-step explanation:
((32)(5−2))−2(3(5−1))
((32)(5−2))−2(3(5−1))
determine the range of the following graph:
Answer:
The range of a function is the set of outputs the function can give
The y-axis on the graph shows as the output of the function
From the graph, we can see that the outputs of this specific function range from 0 to 5
Therefore, the range of this function is: [0 , 5]
Question 3/3 Devon opened a bank account with $225. He saves $25
per month. What is the least amount of months it will take him to save $750?
Answer:
21 Months
Step-by-step explanation:
If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.
I need help asap thx.
Answer:
35
Step-by-step explanation:
because the straight line is 180 so if you add 35+55=90 and 90+90=180
Answer:
35°
Step-by-step explanation:
What I did was look at ∠ABC and know that collinear is a straight line, and that a straight line is equal to 180°. Then I saw that ∠ABD was a right angle or 90° and that ∠BCE was equal to 55°, so I added those 2 together and got 145°. then I subtracted that from the 180°. because that is what a straight line equals and I got 35°. So, I would say ∠DBE is equal to 35°.
Based on the lesson, identify the first operation needed to solve the following equation. x/11 - 2 = 3 multiplication subtraction addition division
The number 2 should be added to both sides of the given linear
equation to enable the variable x be made the subject of the equation.
Response:
The first operation that needed to solve the equation is; AdditionWhich sequence of steps are needed to solve the given equation?The given equation is presented as follows;
[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]
The solution of the above equation van be found by making x the
subject of the equation.
Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]
, from which the value of x can be found by multiplying by 11.
First operation;
To remove the 2, we have;
2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]
[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]
[tex]\dfrac{x}{11} = 5[/tex]
Second operation;
[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]
x = 55
The first operation that needs to be needed to solve the given equation
is therefore;
AdditionLearn more about solving equations here:
https://brainly.com/question/26589787
Answer: It would be addition
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If boxes of chocolates contain chocolates in total, calculate how many chocolates boxes of chocolates will contain
If Khalid uses 3 liters of paint to cover 8 square meters of wall. How much paint does Khalid need to paint 40 square meters of the wall.
Answer:
15l
Step-by-step explanation:
There are 5 8sq m in 40sq m
total paint is 5*3=15
ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each angle?
Answer:
80°, 40° and 60°
Step-by-step explanation:
Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)
so we will have an equation of
180°=2x + x + (20°+x)
160°=4x
40°=x
so the second angle is 40° as it is represented by just one X
therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!
If a seed is planted, it has a 70% chance of growing into a healthy plant.
If 8 seeds are planted, what is the probability that exactly 4 don't grow?
Answer:
Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%
Step-by-step explanation:
Binomial Distribution
Consider a random experience that has only two possible outcomes: Success or Failure. Let's call p to the probability that the event has a successful outcome and q to the failure outcome.
It follows that p+q=1, or q=1-p.
Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the Binomial Distribution formula:
[tex]\displaystyle P_{x} = {n \choose x}\cdot p^{x}\cdot q^{n-x}[/tex]
Where :
[tex]\displaystyle {n \choose x}[/tex]
Is the number of combinations, calcula ted as follows:
[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]
A planted seed has a 70% chance of growing into a healthy plant. The successful outcome has p=0.7 and q=0.3.
The experience is repeated n=8 times. We want to calculate the probability of having 4 failures (not growing seeds) or x=4 successes.
Apply the formula:
[tex]\displaystyle P_{4} = {8 \choose 4}\cdot 0.7^{4}\cdot 0.3^{8-4}[/tex]
[tex]\displaystyle P_{4} = 70\cdot 0.7^{4}\cdot 0.3^{4}[/tex]
[tex]\displaystyle P_{4} = 0.1361[/tex]
Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%
the product of k and three
Answer:
3k
Step-by-step explanation:
What are Two figures that are proportional in size
Find the value of x and y that satisfy both of the equalities x /y= 2/3 and y/12 = 3/4.
Answer:
x=6;y=9
Step-by-step explanation:
First you try to find y in the second equation --> y/12=3/4
You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->
3*3=9 4*3=12.
Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)
Answer:
x=6; y=9
Step-by-step explanation: