Answers
Answer:
D
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 1 \(\frac{1}{2}\) -(- \(\frac{1}{2}\) ) = - 1
d = - 2 \(\frac{1}{2}\) - (- 1 \(\frac{1}{2}\) ) = - 1
d = - 3 \(\frac{1}{2}\) - (- 2 \(\frac{1}{2}\) ) = - 1
This indicates the sequence is arithmetic with explicit formula
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - \(\frac{1}{2}\) and d = - 1 , thus
\(a_{n}\) = - \(\frac{1}{2}\) - 1 (n - 1) = - \(\frac{1}{2}\) - n + 1 = \(\frac{1}{2}\) - n , where n = 1, 2, 3, 4, ......
Related Questions
Serena was planning out her model railroad setup, and wants to be able to boast about it on her social media. She wants the centerpiece to be a scaled down version of Union Station, but wants to make sure she has enough space in her grandfather's basement. Her railroad is in N Scale, 1:160 (one foot on the model is 160 feet in real life). If Denver's Union Station is 495 feet long, how many inches long will the model be as a mixed number?
Answers
Answer:4
Step-by-step explanation:
Answer:
idk sorry
Step-by-step explanation:
HELP?!!!! ITS A A AND B QUESTION
Answers
Answer:
A: 80 and B: 5.5
Step-by-step explanation:
For A, just multiply 20 and 4 and which you would get 80 miles. And for B, if 1 inch is equal to 20 miles, you can divide 110 and 20 but the answer will be 5.5 rather than 5.
I think this is right but if you can, try and see if it’s correct later.
Answer:
The person who answered first is correct.
Step-by-step explanation:
The number of customers at Yummy Smoothies varies throughout the day. During the lunch rush on Saturday, there were 120 customers at Yummy Smoothies. The number of customers at Yummy Smoothies during dinner time was 10 customers fewer than the number during breakfast. The number of customers at Yummy Smoothies during lunch was 3 times more than during breakfast. How many people were at Yummy Smoothies during breakfast? How many people were at Yummy Smoothies during dinner? Let d represent the number of customers at Yummy Smoothies during dinner and b represent the number of customers at Yummy Smoothies during breakfast.
Answers
Answer:
190 people
Step-by-step explanation:
At lunch, there were 120 people.
There were 3 times more people at lunch than breakfast meaning you divide 120 by 3.
120 / 3 = 40
At dinner, there were 10 people less than at breakfast.
40 - 10 = 30
Add up your numbers.
120 + 40 + 30 = 190
B = 40
L = 120
D = 30
Answer:
dsssdasdasd
Step-by-step explanation:
help please i have like 20 min left
Answers
(a) Find the volume of the container.
12cm
22cm
10cm
7 cm
8 cm
Answers
Answer:
Step-by-step explanation: you would have to cut the shape in to two then multiply the base x width x length
Does (2 ⋅ 3)2 have the same value as 22 ⋅ 32?
a. Yes, they both equal 18.
b. Yes, they both equal 36.
c. No, the first is 25 and the second is 13.
d. No, the first is 18 and the second is 36.
Answers
Answer: d
Step-by-step explanation:
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.8° is added to the data, how does the range change?
Answers
Answer:
The original data set would be:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
So to find the range you would do:
105 - 57 which equals 48.
So the range for the original data set would be 48.
The new data set adding 80.8:
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
So to find the range for the new data set you would do:
105 - 57 which would still equal 48.
So the range for the new data set would be 48.
The range for the original and new data set stayed the same.
Step-by-step explanation:
You're welcome.
Step 2: find the range
105 - 57 = 48
The range for the original data set is 48.
The new data set is adding 80.8
Step 1: find the new data set.
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
Step 2: find the range
105 - 57 = 48.
The range is still the same for the original and new data set.
How far off the ground is the top of the ladder? Round your answer to the nearest tenth
Answers
10.2 m - the second option
Root 11^2 - 4^2 = 10.2469...
Hope this helps!
Answer:
10.2 m - the second option
Root 11^2 - 4^2 = 10.2469...
Step-by-step explanation:
10x20 to the power of 5
Answers
Answer:
24,300,000
Step-by-step explanation:
what percent of 4c is each expression? 0.2c
Answers
if we take 4c to be the 100%, what is 0.2c off of it in percentage?
\(\begin{array}{ccll} a&b\\ \cline{1-2} 4c & 100\\ 0.2c& x \end{array} \implies \cfrac{4c}{0.2c}~~=~~\cfrac{100}{x}\implies \cfrac{4}{0.2}~~ = ~~\cfrac{100}{x} \\\\\\ 4x=20\implies x=\cfrac{20}{4}\implies x=5\)
An apartment building that is 51 feet tall casts a 90 foot shadow. At the same time, a tree casts a shadow that is 48 feet long. How tall is the tree?
Answers
Answer:
96 foot tall
Step-by-step explanation:
Answer:
27.2
Step-by-step explanation:
x/48 =51/90
x=27.2
Please answer this question
Answers
Answer:
volume would be 105 cubic inches
ANSWER FAST I DON'T UNDERSTAND?
Answers
Answer:
Step-by-step explanation:
I would ask my teacher for help if no, then it seems like you would mark a line in the numbers line or smth just giving you an idea sorry if this never helped :(
15. Tamika eats jellybeans at a rate of 12 jellybeans every 4 minutes. It takes her 30
minutes to eat the snack size pack of jellybeans. Her brother, James, eats jellybeans at a
rate of 28 jellybeans
every 7 minutes. How many fewer minutes does it take James
to eat a snack size pack of jelly beans compare to Tamika?
Answers
Answer:
Step-by-step explanation:
tamika eats jelly beans at a rate of 3 jellybeans ber miniute since it would be 12/4. and it takes tamika 30 minutes which means that the snack pack had 90 jellybeans.
James eats jellybeans at a rate of 4 jellybeans per miniute so it took james 22.5 miniutes to eat a snack pack.
so you would subtract tamikas minutes(30 min) - james minutes(22.5) and get 7.5 minutes.
James took 7 minutes and 30 seconds less than Tamika to eat his jelly beans.
James took 7.5 fewer minutes to eat a snack-size pack of jelly beans as compared to Tamika
What is a unit rate?A unit rate means a rate for one of something.
It is written as a ratio with a denominator of one.
We have,
Tamika:
Rate of eating jellybeans = 12 jelly beans per 4 minutes.
12 beans = 4 minutes
Divide it by 4 into both sides
We get,
3 beans = 1 minute ___(1)
Tamika took 30 minutes to finish snack-size beans.
This means from (1),
3 x 30 jelly beans= 30 minutes
90 jelly beans = 30 minutes
There are 90 jellybeans in snack-size beans.
James:
Rate of eating the jellybeans = 28 jellybeans per 7 minutes
It can be written as:
28 jelly beans = 7 minutes
Multiplying 90/28 on both sides we get,
90 jelly beans = (90/28) x 7 minutes
90 jelly beans = 90/4 minutes = 22.5 minutes
This means James takes 22.5 minutes to finish snack-size jelly beans.
We see that,
The time took for Tamika to finish snack-size jelly beans = 30 minutes
The time took for James to finish snack-size jelly beans = 22.5 minutes
we have,
30 - 22.5 = 7.5
Thus,
James took 7.5 fewer minutes to eat a snack-size pack of jelly beans as compared to Tamika
Learn more about unit rates here:
https://brainly.com/question/13795269
#SPJ2
The measures of the legs of a right triangle both measure 7 yards. What is the length of the hypotenuse? Round your answer to the nearest tenth.
A. 7 yards
B. 9.8 yards
C. 9.9 yards
D. 10 yards
Answers
Answer: 9.9 yards
Step-by-step explanation: Since we know that the legs of the right triangle both measure 7 yards, we can use the Pythagorean theorem to find the length of the hypotenuse, which is the longest side of the right triangle.
According to the Pythagorean theorem, the square of the hypotenuse equals the sum of the squares of the legs. In this case, we have:
c^2 = 7^2 + 7^2 c^2 = 49 + 49 c^2 = 98
To find the length of the hypotenuse, we need to take the square root of both sides of the equation:
c = √98
Using a calculator, we can find that √98 is approximately 9.9. Therefore, the length of the hypotenuse is approximately 9.9 yards.
The answer is C. 9.9 yards.
help! i dont this math problem please due soon!
Answers
Answer:
12x12 12x6 H = 46cm
Step-by-step explanation:
took quiz
Answer:
46 cm
Step-by-step explanation:
I learned this formula in math last year
The median and mean scores for a math test are shown.
Which distribution of scores would best account for the difference in the median and mean?
Median score: 82%
Mean score: 70%
Answers
Answer:
median score
Step-by-step explanation:
Biff's Bakery had a slow year. Biff recorded the store's loss as −$10,308 for the year. How would Biff record the store's mean monthly loss?
Answers
Answer:
The answer is -859
Step-by-step explanation:
The question is asking for the monthly loss and since there are 12 months in a year, you would divide -10,308 by 12.
Answer:-859
Step-by-step explanation:-10,308 divided by 12
An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?
Answers
Answer: $125
Step-by-step explanation:
1/80=x/10,000
10,000/80=125
Hope this helped!
Answer:125 yen
Step-by-step explanation:
Ratio and proportion
Ratio=1:80=x:10,000
x represents dollars which is unknown
1/80=x/10,000
Then you cross multiply
80x=10,000
80x/80=10,000/80
x=125
Therefore,$125 will give you 10,000yen
PLEASE MAKE SURE HELP ME!
Answers
Answer:
-8a+12b-36
Step-by-step explanation:
Multiply -4 into the expression (2a-3b+9)
So -4(2a) + -4(-3b) + -4(9), now simplify it
-8a+12b-36
PLEASE HELP ASAP!!!!!!
the slope of line A between (4,8,) and (0,0) is 2. What is the slope of the line A between (-2,-4) and (-4,-8)????!?!?
Answers
its b as the slope of the line is constant so it's 2.
Answer:
2
Step-by-step explanation:
-4-(-8)/-2-(-4)=4/2
4/2=2
how much is ten cents+ three dimes + two 5 cents+ 7 quaters equals?
I'm trying to make a dollar with this pennies*
Answers
Answer:
Step-by-step explanation:
10 + 3*10 +7*25 +2*5 = 225
You can make a dollar quite easily.
Use 3 quarters + 2 dimes + 1 5cent piece = 1 dollar.
Use 3 quarters + 2 dimes + 5 pennies = 1 dollar
Use 2 quarters + 3 dimes + 2 nickels + 10 pennies = 1 dollar.
Use 3 quarters + 1 dime + 1 nickel + 10 pennies = 1 dollar
the answer is a three dollars and
the answer is three dollars and five cents
$3.05
This expression involves two numbers written in scientific notation.
Which is the simplified form of the expression?
Answers
Answer: the answer for it would be 20000 or should be
Step-by-step explanation:
4.2e7/2.1e3 should come out to 20000 at least my graphing calc says it should but it should come out to 20k
4.2/2.1 x 10 little 7/10 little 3 = 4.2/2.1 x 10 little 4 = 2 x 10 little 4 = 2x 10000= 20,000
I hope it helps:)
Plz help A system of equations is given below.
y = negative 3 x + 6 and y = 6 minus 3 x
Which of the following statements best describes the two lines?
They have different slopes and different y-intercepts, so they have no solution.
They have different slopes and different y-intercepts, so they have one solution.
They have the same slope and the same y-intercept, so they have no solution.
They have the same slope and the same y-intercept, so they have infinitely many solutions.
Answers
Answer:
They have different slopes and different y-intercepts, so they have no solution
Step-by-step explanation:
mark me as brainlest
Answer:
D) They have the same slope and the same y-intercept, so they have infinitely many solutions.
Step-by-step explanation: When I took the test and copied the answer on the answer above I got It wrong. For me it turned out to D
A container has a cylinder shape has volume of 125.6 cm cubed the hight is 10 cm what is the radius . Also use 3.14 for pi
Answers
Substituting the given values, we have:
125.6 = 3.14 x r^2 x 10
Dividing both sides by 3.14 x 10, we get:
r^2 = 4
Taking the square root of both sides, we get:
r = 2 cm
Therefore, the radius of the cylinder is 2 cm.
simplify 2^x+4-2^x/5*2^x
step by step
Answers
Answer:
4/ 5 x 2^x
Step-by-step explanation:
2^x +4-2^x / 5^2
First we multiply everything by 5^2/5^2
2^x + 4-2^x (5^2x) / (5^2)(5^2)
= 2^x + 4-2^x 5^2x we see 2 x 5^2
= 2^x+4-2 x 5^2x +5^2x / (5^2)(5^2x) 2^x cancels with 2^x as subtraction and 5^2x base cancels with top also
= 4/ 5 x 2^x
PLZ HELP ASAP
NOT MULTIPLE CHOICE USE ORDER OF OPERATIONS
Answers
Answer:
16/61
Step-by-step explanation:
(a + b)^5 / a - 2b^2
= (6 + -8)^5 / 6 - 2(-8)^2
= (6 - 8)^5 / 6 - 2(-8)^2
= -32 / -122
= 16 / 61
ASAP PLS I NEED IT AND TY
Answers
When we're solving with scale factors, we either divide or multiply.
If the shape becomes larger, we multiply to get the new length.
If the shape becomes smaller, we divide to get the new length.
Solving the QuestionWe're given:
Original side length is 2.5 unitsScale factor = 6Because the shape becomes larger, we have to multiply the original side length by the scale factor, 6, to get the new side length.
2.5 x 6 = 15
Therefore, the missing side length is 15 units.
Answer15 units
Answer:
6
Step-by-step explanation:
The height of a right square pyramid is multiplied by 7, and the length of the sides of its base do not change. By what factor will the volume of the original pyramid be multiplied?
Answers
Answer:
336
Step-by-step explanation:
7×7×7=336 you would have to multiple 7 time for the pyramid because how do you get your answer
Choose one of the three ecosystems. Then, pick the organisms that were in competition with each other in that ecosystem. Would this interaction change if more resources were added to the ecosystem? Would this interaction change if resources were taken away? Explain your answer in at least four complete sentences
Answers
Answer: Ocean ecosystem
Step-by-step explanation:
I will choose the ocean ecosystem. In this ecosystem, organisms in competition with each other include various species of fish, such as tuna and marlin, competing for food sources like plankton and small fish. If more resources were added to the ecosystem, such as an increase in plankton and small fish, the interaction between the fish species would likely increase. This is because the increased resources would provide more food for the fish, allowing them to compete more for the resources. If resources were taken away from the ecosystem, the interaction between the fish species would likely decrease. This is because the decreased resources would mean there would be less food available for the fish to compete for, resulting in less competition.