Answer:
= 78
Step-by-step explanation:
Step One:
1 + 4= 5
Step Two:
5+9= 14
Step Three:
14+64= 78
= 78
Hope it helps :)
Answer: 441
Step-by-step explanation:
The formula for an arithmetic sum is
[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]
We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like
---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------
-1 0 1 2 3 4 5 6 7 8 9 10 11 ...
You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is
[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]
In the year 2010, there were 100g of a certain radioactive isotope. Now there are 70g in 2020 remaining. In what year will there be only 25 left?
Answer:
2035
Step-by-step explanation:
2010=100g
2020=70
100-70=30
70-30=40
2030=40
Answer:
Somewhere in 2038
Step-by-step explanation:
In 2010 in there was 100g of a certain radioactive isotope
In 2020 now there’s 70g of a certain radioactive isotope
what changed,?
In 10 years they lost 30g of radioactive isotope
Therefore
Year 2030 there will be 50g
Year 2035 there will be 35g
Year 2040 there will be 20g
But we want to get 25g in how many years
1 year takes 3g
2 year takes 6g
3 year takes 9g
4 year takes 12g
But we need to take away 10g from 35 so it’ll be between somewhere between 2038 maybe half year..
What is the slope of the line that passes through the points (-3,3) and (-3, 13)?
Write your answer in simplest form.
Answer:
ΔY = 10
Step-by-step explanation:
the value of √-3+√3+8√7+4√3
3. drinking 8 glasses of water a day is good for your health. if each glass of water is equivalent to 148 mL, how many liters of water you need to consume everyday.
Answer:
pap
Step-by-step explanation:
papi
Answer:
1184 mL (148×8)= 1.184 liters
Annelise buys a car that is one year old for $13600.
The value of this car has reduced by 15% of the value when it was new.
Calculate the value of the car when it was new.
Answer:
$16000Step-by-step explanation:
Initial value is x, current value is $13600, price reduction by 15%.
x - 15% = 13600x - 0.15x = 136000.85x = 13600x = 13600/0.85x = 1600013
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)
Answer:
use the Microsoft world language to define noun phrases and figure of speech
what is the slope of (-1,6) and (2,3)?
Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:
[tex] \boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}[/tex]
Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:
[tex] \implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{2 + 1 } }[/tex]
[tex] \implies \mathsf{ \frac{ - 3}{3 } }[/tex]
[tex] \implies \mathsf{ - 1 }[/tex]
Hence, the slope of the line joining the given points is -1.
Answer:
-1
Step-by-step explanation:
One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.
Angle GAF = 105°. Work out the value of n.
Answer:
n = 8.
Step-by-step explanation:
The interior angle of a regular hexagon = 120 degrees.
So m < GAB = 360 - 120 - 105
= 135 degrees so the regular polygon has a total of 135n degrees.
Using the formula for the sum of interior angles of a polygon,
For the polygon with n sides:
Sum of interior angles = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45 = 8.
There are 60 pupils in the library. The boys are 14 more than the girls. How many girls are there in the library?
Answer:
32
Step-by-step explanation:
Trust me its hard to explain.
Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81
Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
What are the zeros of the function
f(x)=x^2+2x-8
Answer:
-4, 2 (-4,0) (2,0)
Step-by-step explanation:
factoring in binomials
[tex](x+4)(x-2)=x^{2} +2x-8[/tex]
The zeros:
[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]
[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]
I hope this help you
if u drove 45 miles in 75 min how many miles did u drive per min
Answer:
11.25
Step-by-step explanation:
i hope this is right sry if its not tho
Answer:
How many miles is a 45 minute drive? 45 min is 0,75*60 min. During this time you'll drive 0,75*60= 45 miles.
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!! Find the scale factor for the side lengths
Answer:
Scale factor is 1/4
Step-by-step explanation:
You can easily calculate the scale factor of anything by dividing the new length by the old one. Then just simplify if necessary.
TS is 8, and T'S' is 2, so:
[tex]\frac{2}{8}=\frac{1}{4}[/tex]
edit: fixed fraction
Help me with this question please!! Show all work
Answer:
439
Step-by-step explanation:
The denominator simplifies to 106/15
The question becomes
3+1/(106/15)=3+15/106=333/106
Therefore m+n=439
DO THE MATH
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)? (2 points)
1. The house sold for $250,000.
2. The house stayed on the market for an average of 250 days before being sold.
3. This is the average number of days the house stayed on the market before being sold for $250,000.
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold.
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:
1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)
2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)
3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)
This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
I hope I've helped! :)
Answer:
f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.
What is the value of the rational expression 6-x/x+5 when x = 2?
4/7
4/5
8/7
8/5
Answer:
4/7
Step-by-step explanation:
6 -2/2+5 = 4/7
thats it simple
Answer: 10
Step-by-step explanation:
6-x/x+5
6-(2)/(2)+5
Order of Operations
6-1+5
5+5
10
25 + 100 = ?
Can You Answer
[tex] \: [/tex]
[tex] = 125[/tex]
Step-by-step explanation:
[tex]25 + 100 = ?[/tex]
need to add these numbers so we can get the solution[tex]25 + 100 = 125[/tex]
there you go , we have a solutionhope it helps[tex] \: [/tex]
30 POINTS, I NEED FAST AND CORRECT ANSWERS PLEASE!!!!
The average cost of a compact car at a certain dealership over the last 5 years has ranged from $14,000
to $16,000. Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale to use for the y-axis? Explain your reasoning.
(b) What is a good interval to use for the y-axis? Explain your reasoning.
Answer:
Plz give brainliest
Step-by-step explanation:
I believe
A) 0 - 20,000
B) Interval= 2000 or 3000
5+x>5x-11 solve the inequality
Answer:
x<4 hope it helps and it's correct
x <4 thats the answer ok
3/11 divided by 3/11 in simplest form
Answer:
1
3/2 or 1 1/2
Step-by-step explanation:
3/11 ÷ 3/11
Copy dot flip
3/11 * 11/3
3/3 * 11/11
1*1
1
9/10 ÷3/5
Copy dot flip
9/10 * 5/3
9/3 * 5/10
3 * 1/2
3/2
It costs $120 per week in gas to travel by car to work five days a week. what is the daily expense?
Suppose 8x+16 ice cream cones were sold on Saturday and 7x-9 were sold on Sunday. What is the total number of ice cream cones sold?
Answer:
8x+16
7x-9
_____
15x+7
Step-by-step explanation:
Add or subtract like terms
Answer:
15x+7
No step I did it
PLZZZ HELP ASAP I NEED IT FAST!
Answer:
5.4
Step-by-step explanation:
Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)
For this case, I'm going to take 4 and 7.2Step 2: Divide the length you took from PQRS by the length you took from ABCD.
[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex] (1.8 is the scale factor (SF))Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8
[tex]3 * 1.8[/tex] [tex]5.4[/tex]Therefore, x = 5.4.
Answer:
5.4
Step-by-step explanation:
Look at photo for explanation
What is the distance between point (2,6) and (5,2)?
Answer:
5 units
Step-by-step explanation:
Distance between two points can be found by using the pythagorean theorem
The distance in y = 4
The distance in x = 3
3² + 4² = c²
9 + 16 = c²
25 = c³
c = √25
c = 5
-Chetan K
Answer:
5
Step-by-step explanation:
[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]
[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\underline{\mathrm{Solve:}}[/tex]
[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\sqrt{(5 - 2)^2 + (2-6)^2}[/tex]
[tex]\sqrt{3^2 + 4^2}[/tex]
[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]
[tex]\sqrt{25}[/tex]
[tex]\sqrt{5^2}=5[/tex]
What is the slope of the graph of the given line?
Answer:
slop = 2/3
Step-by-step explanation:
slope = rise/run
Start at the lower left point (-2, -1).
We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).
First we go up 4. The rise is 4.
Then we go right 6. The run is 6.
slope = m = rise/run = 4/6 = 2/3
slope = 2/3
-2 1/4 x -4/5
please help
Answer:
1.8
Step-by-step explanation:
-2 1/4 x -4/5 = 9/5
= 1 4/5
= 1.8
An item priced at $500 is bought on hire purchase, where $200 deposit is required, along with 12 monthly instalments of $40. How much would be saved if bought with cash?
0.35 is best classified as a ________ number.
Fill the blank
why this stuff hard
Answer:
rational number (might be wrong)
Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?
Answer:
7 students had SnickersStep-by-step explanation:
Nestle Crunches - nSnickers - sSystem of equations according to given:
30n + 50s = 680 (converted $6.80 into 680¢)n = s + 4Substitute n into first equation and solve for s:
30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7Equations are
0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]EQUATION(2)× 30
[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]
Subtracting (1) and (3)
[tex]\\ \sf\longmapsto 80y=560[/tex]
[tex]\\ \sf\longmapsto y=7[/tex]
All changes avec
7. The price of a plane ticket varies Inversely with the amount of tickets purchased at one time. If 2 plane tickets costs $350 each, how much will a ticket cost when purchasing 7 plane tickets?
O $25
O $100
O $1225
O $220
Answer:
1225
350/2=175
175 x 7 = 1225