Answer:
d(5) = 5
Step-by-step explanation:
The nth term is given by :
[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)
We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.
[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]
So, the 5th term in the above sequence is 5.
Answer:
5
Step-by-step explanation
Can someone please help me on this question?
Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.
With a table
Answer:
Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.
If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.
Step-by-step explanation:
In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?
Answer:
Lo: - 94o F
Step-by-step explanation:
Hi: 98oF
Difference: 192 degrees lower
Low: ?
Formula
98 - 192 = -94
That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)
If you think in Celcius
The formula is
C = 5/9(F - 32)
C = 5/9 (-94 - 32)
C = 5/9 (-126)
C = -60
I think Siberia must be much colder than -60.
Simply the expression (5x+9y) - (11x-3y+7)
Answer:
-6+12y-7
Step-by-step explanation:
Who doesn't like short answers, instead of writing a hole paragraph.
Answer:
[tex]-6x + 12y - 7[/tex]
Step-by-step explanation:
[tex](5x + 9y) - (11x - 3y + 7)[/tex]
Lets open the brackets.
[tex]=> 5x + 9y - 11x + 3y - 7[/tex]
Now lets add/substract the like terms only.
[tex]=> 5x - 11x + 9y + 3y - 7[/tex]
[tex]=> -6x + 12y - 7[/tex]
Twice the sum of x and 3 is decreased by 13
Given:
Twice the sum of x and 3 is decreased by 13.
To find:
The expression for the given statement.
Solution:
The sum of x and 3 is (x+3).
Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)
Negative sign is used of decrease.
Decreased by 13 is represented by -13.
Using these representation, we get
Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]
Therefore, the required expression is [tex]2(x+3)-13[/tex].
Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?
Four different stores are having a sale on the same pair of shoes that cost $325. The signs below show the discounts available at each of the four stores. What is the price of one pair of shoes at each of the stores?
Answer:
I would need to see the signs to show each discount to figure this one out. Can you add it?
Step-by-step explanation:
help please
Determine whether the triangles are congruent. If so, name the postulate or theorem that justifies your answer. If not, explain.
Are the triangles congruent or not congruent? If they are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.
The triangles are congruent by the SAS Postulate.
What are congruent triangles?A closed polygon made of three line portions shaping three points is known as a Triangle.
If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.
Given triangles
ΔUTS and ΔRTS
which shows
UT and RS are parallel
and TS is common side
so ∠UTS = ∠RST
by UT ║ RS (side)
∠UTS = ∠RST (angle)
TS = TS (common side)
ΔUTS ≅ ΔRTS
by SAS postulate
Hence Triangles are congruent.
Learn more about congruent triangles;
https://brainly.com/question/12413243
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Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?
Answer:
$207.20
I hope this can help in any way!
Isabel created a scale model of her dad's truck. On the scale model, the length of the truck is 51 inches. The length of the actual truck is 17 feet long.
Which scale did Isabel use to create the scale model of her dad's truck?
Answer:
1 inch = 3ft
Step-by-step explanation:
If you divided 51 feet by 17 inch you will get 3 feet. So 1 inch = 3 feet
NOOB
pllsss I needddd helpp
PLEASE HELP WILL MARK BRAINLIEST!!!!!
Answer:
Samuel's function will have the greatest rate of change.
Step-by-step explanation:
Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.
Help Me! ASAP! Determine whether each equation has no solution, one solution or infinitely many solutions. Choose No Solution, One solution, or Infinitley Many Solutions for each equation.
Answer:
Step-by-step explanation:
(1). One solution
(2). Infinitely Many Solutions
(3). One solution
(4). No Solution
Answer:
1. 1 solution, 2. Infinite solutions, 3. 1 solution, 4. No solution
Step-by-step explanation:
What is the approximate circumference of the circle shown below
Answer: A) 46.5 cm
Step-by-step explanation:
Circumference = 2 π r or Circumference = π d
In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.
π ≈ 3.14.
We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.
C = π d
= (3.14)(14.8)
= 46.47 cm, which rounds to 46.5 cm
Four friends had dinner at a restaurant. The bill was $55.40, and they added a 20% tip. The 4 friends shared the total cost equally. How much money did each person pay?
Answer:
$16.62 each
Step-by-step explanation:
First, find 20% of the bill to figure out how much the tip is worth:
20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08
Now that we know the tip is $11.08, next add it on to the bill:
$11.08 + $55.40 = $66.48
Now divide this by 4 to split the bill evenly between the 4 friends:
$66.48 / 4 = $16.62
Isaiah gave $18 to his Friends. He gave 4 to Ricardo, $7 to Jeremiah, and the rest to Fabian. how much money did Fabian get?
Answer:
Fabian got $7.
Step-by-step explanation:
Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!
4 + 7 + f = 18
where f is the amount of money Fabian got.
4 + 7 + f = 18
(subtract 4 from both sides)
7 + f = 14
(subtract 7 from both sides)
f = 7
It looks like Fabian got $7! Let's check just to make sure.
4 + 7 + f = 18
4 + 7 + (7) = 18
18 = 18
It checks out!
HELP ME PLEASE!!!!!!
PLEASE HELP VERY URGENT!
The graph shows the distance Kerri drives on a trip. What is Kerri's speed?
Driving Time and Distance
A. 25 miles per hour
B. 60 miles per hour
C. 75 miles per hour
D. 50 miles per hour
Answer:
Kerri's speed = 50 mile per hour. Therefore option (D) is true.
Step-by-step explanation:
Given the distance-time graph
It is clear from the distance-time graph that:
at Time = 1 hour, Distance = 50 milesat Time = 2 hours, Distance = 100 milesso the two points on the distance-time graph is:
(1, 50)(2, 100)Finding the slope between the points to determine the speed.
Please note that the slope between the points represents the speed or rate of change.
Speed = Rate of change = y₂-y₁ / x₂-x₁
= 100 - 50 / 2-1
= 50 / 1
= 50 miles per hour
Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.
Which events are independent?
Select each correct answer.
One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.
Answer:
A six sided number cube is rolled and a coin is flipped
Step-by-step explanation:
These are two different objects that have 0 correlation with eachother
help please I beg✨✨✨✨✨
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Explanation:
Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.
If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]
Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]
If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on
Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.
--------------------------
So far we've shown that "5 times a number" turns into 5*x or just 5x.
From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.
The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.
A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in meters, should the carpenter cut each piece?
Answer:
2 1/3 meters
Step-by-step explanation:
You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.
You deposit $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate
Use the formula,
I = Prt
P = Principal amount = 400
I = interest = 18
r = annual rate
t = time in years = 9/12 = 3/4
so,
18 = 400*r*3/4
r = 0.06
so the annual interest rate is 0.06 or 6%.
Find the value of : 0.678 multiplied by 9.01/0.0234
Answer:
261.06 (Approx)
Step-by-step explanation:
Given:
Two number = 0.678,9.01/0.0234
Find:
Multiply
Computation:
⇒ 0.678,9.01/0.0234
⇒ 0.678 x [9.01/0.0234]
⇒ 6.10878 / 0.0234
⇒ 261.058874
261.06 (Approx)
Solve the following equations
3y-6x=48
y=3x+11
Answer:
See below
Step-by-step explanation:
a). 3y-6x=48
soln
or, 3xy=48
or, xy=48÷3
or, xy=32,,
b). y=3x+11
soln
or, y=13x
or, xy=13,,
Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
Answer:
1/2x + 5
Step-by-step explanation:
The y intercept is 5 & the slope is already given!
Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)
Answer:
Answer is D
Step-by-step explanation:
On Edge 2020
On a scavenger hunt, you find 19 out of 20 objects. Write "19 out of 20" as a fraction, a decimal, and a percent
Fraction: 19/20
Decimal: 0.95
Percent: 95%
I need help thank you
Answer:
x is greater than or equal to 8.75 or 8 3/4
Step-by-step explanation:
So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.
Does anyone know how to solve this (4-7i) - (-3+6i) ?
Step-by-step explanation:
(4-7i)-(-3+6i)
4-7i+3-6i
7-13i(simplified)
Answer:
7-13i
Step-by-step explanation:
(4-7i) - (-3+6i)
4-(-3)+(-7-6)i
7-13i