Answer:
0
Step-by-step explanation:
-5/6 - (-5/6)
Negative times a negative is a possitive
-5/6 + 5/6
0
Hopes this answers your question. :)
Answer: 0
Step-by-step explanation:
-5/6 - -5/6 =
-5/6 + 5/6 =
-5 + 5
6
= 0/6
=0
10, 18, 26, 34, 42, ...
Write the simplified formula (expression) for the given Arithmetic Sequence
Answer:
[tex]10 + (n - 1) 8[/tex]
Step-by-step explanation:
All arithmetic sequence can be written as:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.
So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.
[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]
Now replace the knowns terms in the general form:
[tex]a_{n} = 10 + (n - 1)8[/tex]
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
The common difference between any two consecutive terms in an arithmetic sequence is constant.
In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.
Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.
Therefore, the nth term of the sequence can be expressed as:
a + (n-1)d
where d is a common difference, which is 8 in this case.
So, the simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
where a is the first term of the sequence and n is the position of the term in the sequence.
Thus,
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
Learn more about arithmetic sequence here:
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Please help me please help me please help me
Answer:
d.
took the test
Step-by-step explanation:
Plz Help!!! Fast!!
A statue is made of gold and silver in the ratio of 2:5. If the weight of the silver in the statue is 140 pounds, what is the weight of the gold?
Show all work!
Answer:
if the gold in this ratio is the 2 out of the 2:5 then the answer is 56 but if its the 5 then its 350
Step-by-step explanation:
The weight of gold is 56
Step-by-step explanation:
gold= 2
sliver = 5
weight of gold = x
weight of silver = 140
2/5 = x/140 solve for x
280=5x
x=280/5
x= 56
I need help I’m really bad at math but the photo thing is not working
fingernails grow about 0.0123 centimetres per day. write this rate in scientific nation
Answer:
1.23 x 10^-2
A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?
Answer:
170 kg. of parsnips are left
Step-by-step explanation:
Given:
850 kg. of parsnips
30 % to the local market
50 % to a local supermarket
Solution:
First, add the two percentages.
30 + 50 = 80%
That means 80 % of parsnips mass go to the markets.
Now let's find the mass of delivered parsnips.
Change 80% to decimal form.
80% = 0.8
Now multiply it by 850 kg.
850 x 0.8 = 680
The delivered parsnips mass is 680 kg.
Now to find the mass of parsnips left, subtract 680 to 850
850 - 680 = 170 kg.
170kg. of parsnips are left.
Mrs. Johnson weighs her suitcases ready for her holidays. It weighs 7.3kg. She takes out shoes that weigh 2.6kg. how heavy is her suitcase now
Answer:
4.7kg
Step-by-step explanation:
since when ready it is 7.3
subtract
7.3_2.6
Therefore the answer is4.7kg
Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in a year? A: $360 b: $300 C: $30 D: $36
Answer:
d - $36
Step-by-step explanation:
I=Prt
(interest=principle*rate*time in years)
I=1200*.03*1
I=1200*.03
I=36
a protractors is used on an angle one ray of the angle is 46 degrees and the other way is a 95 degrees what is the measure of the angle
141 degrees hope this helps u
The measure of the angle will be 141°. Then the correct option is B.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A protractor is used on an angle one ray of the angle is 46 degrees and the other way is 95 degrees.
The diagram is shown below.
Then the measure of the angle will be given as,
⇒ 46° + 95°
⇒ 141°
The measure of the angle will be 141°.
Then the correct option is B.
More about the angled link is given below.
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the staircase at the lighthouse tower has between 80 and 90 steps. if matt goes 2 steps at a time then 1 step is left at the end. If he goes 3 steps at a time then 2 steps are left. If he goes 4 steps at a time then 3 steps are left. How many steps are in the staircase?
Answer:
90
Step-by-step explanation:
start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.
2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90
3/5 x ==> only 90
Which expressions simplify to 0? Check all that apply.
8g – 8g
(–2g) – 2g
5g + (–5g)
One-half g + one-half g
Negative two-thirds g + two-thirds g
The expressions that simplify to zero are:
8g – 8g
5g + (–5g)
Negative two-thirds g + two-thirds g
Let us consider each of the expressions to determine the ones that simplify to zero (0)
For 8g - 8g
This is a direct subtraction of terms of the same value. Therefore, 8g - 8g = 0
For (–2g) – 2g
This can be further simplified as -2g - 2g = -4g
Therefore, (–2g) – 2g does not simplify to zero
For One-half g + one-half g
This can be written mathematically as:
[tex]\frac{1}{2}g + \frac{1}{2}g = g[/tex]
Therefore, One-half g + one-half g does not simplify to zero
Negative two-thirds g + two-thirds g
[tex]-\frac{2}{3}g+ \frac{2}{3}g = 0[/tex]
Therefore, Negative two-thirds g + two-thirds g simplifies to zero
Learn more here: https://brainly.com/question/25702685
Answer:
A , C , E :)
Step-by-step explanation:
Hi Looking for A helping hand
The first term in an arithmetic sequences is -9. The fifth term in the sequences is 15. The tenth term in the sequences is 45. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.
Answer:
an = a1 + 6(n-1)
Step-by-step explanation:
a1 = -9, a5= 15, a10 = 45
Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.
a1= -9
a2= -9+6 = -3
a3= -3+6 = 3
a4= 3+6 = 9
a5= 9+6 = 15
We add 6 each time.
The explicit formula is an = a1 + 6(n-1) because
for example a5 = a1 the first term + 6* (5-1) times
a5 = -9 + 6* 4 = -9 + 24 = 15✅
a10 = a1 + 6* (10-1)
a10 = -9 + 6*9 = 45✅
What is the solution?
Answer:
(4, 4)
Step-by-step explanation:
y = 7/4 x - 3 graph (0, -3) (2, .5), (4, 4) (8, 11). Draw the line
y = x graph (0,0) (2, 2), (4, 4) , ( -2, -2). Draw the line
The two lines intersect at point (4, 4)
When two pipes fill a pool together, they can finish in 4 hours. If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours. How long will it take each pipe to fill the pool if it were working alone?
One pipe takes __ hours alone.
The other pipe takes __ hours alone.
One pipe takes 6 hours working alone.
The other pipe takes 12 hours working alone.
This is a rate of work problem. The formula utilized is
[tex]w=r\times t[/tex]
where
[tex]w[/tex] is the work done[tex]r[/tex] is the rate of work done[tex]t[/tex] is the time taken to do the workWe are looking for how long it will take each pipe to completely fill the pool
For pipe 1 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_1 \times t_1\\\\t_1=\frac{1}{r_1}[/tex]
For pipe 2 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_2 \times t_2\\\\t_2=\frac{1}{r_2}[/tex]
From the question, it would take 9 hours if each pipe took turns to fill half the pool. That is;
[tex]\frac{t_1}{2}+\frac{t_2}{2}=9\\\\t_1+t_2=18[/tex]
However, if both pipes worked together, it would take 4 hours for each pipe. That is;
[tex]w_1+w_2=w\\\\r_1t_1+r_2t_2=w\\\\4r_1+4r_2=1\\\\r_1+r_2=\frac{1}{4}[/tex]
Remember that [tex]r_1=\frac{1}{t_1}[/tex] and [tex]r_2=\frac{1}{t_2}[/tex]. So,
[tex]\frac{1}{t_1}+\frac{1}{t_2}=\frac{1}{4}\\\\\frac{t_1+t_2}{t_1t_2}=\frac{1}{4}[/tex]
Also recall that [tex]t_1+t_2=18[/tex]. So,
[tex]\frac{18}{t_1t_2}=\frac{1}{4}\\\\t_1t_2=72[/tex]
The only factors of 72 that satisfy the conditions
[tex]t_1+t_2=18\\\\t_1t_2=72[/tex]
are 6 and 12.
Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours to fill the pool if working alone.
The link below has a similar problem on rate of work
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it costs $20 per day to board a dog and $16 per day to board a cat. The kennel needs to make at least $800 per day to cover expenses, but can hold no more than 80 total animals. Write a systems of inequalities, graph , and give two possible solutions to the number of dogs and cats they can board each day
Answer:
Step-by-step explanation:
the anwer is r=dog y=cat 20r+16y>800-->y>-5/4 r+50 20r-16y<r+80 40 dogs+20 cats 15+55 cats
Write the equation of the graphed line that has a slope of 2 and passes through the point (2,-2)
Answer:
y = 2x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (2, - 2 ) into the partial equation
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = 2x - 6 ← equation of line
Alacrosse player throws a ball in the air from an initial height of 7 feet.
The ball has an initial vertical velocity of 90 feet per second. Another player catches the ball when it is 3 feet
above the ground. How long is the ball in the air? Round your answer to the nearest hundredth.
Answer:
Modeling the situation with a quadratic equation, it is found that:
The maximum height of the ball is of 60.2 feet.
The ball hits the ground after 3.39 seconds.
Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.
In which:
is the initial velocity.
is the initial height.
In this problem:
Height of 8 feet, thus .
Initial velocity of 32 feet per second,
The equation is:
Which is a quadratic equation with .
The maximum height is the output of the vertex, which is:
Then, with the coefficients of this question:
The maximum height of the ball is of 60.2 feet.
It hits the ground at t for which , thus:
We want the positive value, so:
The ball hits the ground after 3.39 seconds.
A similar problem is given at brainly.com/question/24626341
Step-by-step explanation:
Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.
Answer:
the answer is number 1 make my answer brainlist answer
HELP QUICKLY!!! How can you use a set of steps to divide whole numbers? Explain.
Answer:
https://youtu.be/4yp5v64XuRc
Step-by-step explanation:
This is a very good video on to do it, it's hard to explain just typing it on here. I'm sorry.
Answer: 131
Step-by-step explanation:
plz help! so hardddddddd
Answer: The average temperature on Earth has risen.
Step-by-step explanation:
If you look at the graph, you can see that the average for temperature on Earth has risen since 1800s through 2000s
Please help quick! Thanks!
Answer:
<
Step-by-step explanation:
8^2=64
64+9=73
73-3=70
8*8=64
64+24=88
88-16=72
70<72
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation?
Please give an actual answer
Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?
D, she needs to make 5 more treats.
Answer:
D) 5 more treatsStep-by-step explanation:
Number of required treats:
37*4 = 148Remaining number of treats:
148 - 143 = 5Correct choice is D
solve pls brainliest
Answer:
1. yes
2.yes
3. no
4. no
5. no
what is 12 times the exponent of 7 squared
Answer:
13841287201
Step-by-step explanation
7×7×7×7×7×7×7×7×7×7×7×7=13841287201
Answer:
7
×
7
×
7
×
7
×
7
=
7
5
Step-by-step explanation:
6(x + 7.50) = 4(2x + 9.50), what is the value of x?
Answer:
x=3.50
Step-by-step explanation:
6(x+7.50)=4(2x+9.50)
6x+45=8x+38
6x-8x=38-45
-2x = -7
x = -7/-2
x = 3.50
3/4 + 1/2 + 1/3 sum to infinity
Answer:
18/12
Step-by-step explanation:
Answer:
5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back
Step-by-step explanation:
a+3 1/4=5 2/9 how to solve this for me is hard
[tex]a + 3 \dfrac 14 = 5 \dfrac 29\\\\\\\implies a + 3 + \dfrac 14 = 5 + \dfrac 29\\\\\\\implies a+ \dfrac {13}4 = \dfrac{47}9\\\\\\\implies a = \dfrac{47}9 - \dfrac{13} 4 = \dfrac{188-117}{36} = \dfrac{71}{36} = 1 \dfrac{35}{36}[/tex]
SOMEONE PLEASE BE FAST!!! Which pair of fractions and mixed numbers have a common denominator of 42?
Three and two-thirds and Five-sevenths
Two and one-sixth and Three-fourths
Five and three-fourteenths and One-fifth
One and four-sevenths and Five-eighths
Answer:
It's the first one. Why?
I converted all the mixed fraction into simplified form.
3 [tex]\frac{1}{3}[/tex] to [tex]\frac{11}{3}[/tex] + [tex]\frac{5}{7}[/tex]
I divided the denominator of 11/3 by 42. 42/3=14
and 5/7. 42/7, which is 6.
So I concluded the first answer was right because it didn't work out for the other variables.
I hope the answer was right, and I hope you have a great day luv. Bye!
For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.
If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.
If x = 6, this would fall under the second part of the function because 5 [tex]\leq[/tex] x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.