The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term.
f(n) = 1.25n+ 12.5; 25
25 is the BLANK th term
Answers
Answer:
10.2
Step-by-step explanation:
F(n) is basically a fancy substitute for y
25= 1.25n + 12.25
subtract 12.25 from both sides
12.75=1.25n
n=10.2
plug back in to double check
1.25(10.2) + 12.25
it equals 25, therefore the answer is
10.2
Related Questions
I need some help solving these
Answers
Answer:1. 4x5
2. 7xm
3. 3xa
Step-by-step explanation: length times height to get area!
Answer:
Number 1 would be 4 x 5 = area
Number 2 would be 7 x m = area
And number 3 would br 3 x a = area
Given the following function, find f(-1), f(0), and f(5).
f(x)=x2-4
f(-1) =
f(0)=
f(5)=
Answers
Answer:
-6, -4, 6
Step-by-step explanation:
1.) f(-1)= (-1)2 - 4
= -2-4
= -6
2.) f(0)=(0)2-4
= -4
3.) f(5)= (5)2 -4
=10-4
6
One gallon is equal to about 3.7854 liters. What is the greatest number of whole liters of water you could pour into a one-gallon container without it overflowing?
Answers
Answer:
3
Step-by-step explanation:
If you try 4 liters, it will overflow since 4 is greater than 3.7854.
The answer is 3 liters.
please help!!!!!! im desperate!!!
Answers
Answer:
148degrees
Step-by-step explanation:
add 180 plus 32 which is 212 subtract that from 360 which is 148
Graph: +2 = 2(x + 3)
y
x
y
6
4
2
-6
-4
-2
2
4
6
-2
-4
-6
Draw
Answers
Answer: 6
4
2
-6
-4
-2
2
4
6
-2
-4
-6
Draw
Step-by-step explanation:
Answer:
good job
Step-by-step explanation:
Select the property that allows the statement 10 = y to be written y = 10.
Answers
Answer:
The commutative property :))
Write the coordinate of G'after G(1, 2) was reflected over the line y=x.
Answers
Answer:
(-1,2)
Step-by-step explanation:
Answer:
(2,1)
Step-by-step explanation:
There are 240 students going on a field trip. Each school bus can hold 48 students. Complete the equation to show which operation to use and how many school buses are needed.
Answers
Answer:
240÷48=5 no of buses needed, use division
Which set of numbers are integers but not whole numbers or natural numbers?
PLEASE HURRYYYYY!!!!!
Answers
Integers, whole numbers and natural numbers are numbers without decimal points.
The set of number that are integer but not whole or natural number is:
[tex]\{-2, -3, -4\}[/tex]
As stated above that three set of numbers do not contain decimal point;
However, the difference between them is that; a negative number without a decimal point is referred to as an integer
From the given set: only [tex]\{-2, -3, -4\}[/tex] fit into the description of an integer, because
It does not have a decimal pointAnd it is negativeRead more about set of numbers at:
https://brainly.com/question/4735895
Someone invested some money at 8% and $300 more than
twice this amount at 12%. Her total annual income from
the two investments is $548. How much is invested at
each rate?
32
Answers
Answer:
$1600 at 8% and 3500 at 12%
Step-by-step explanation:
The rule of the interest is I = PRT, where
P is the amount of investment R is the rate in decimalT is the timeAssume that the amount of money is $x
∴ P = x
∵ The rate is 8%
∴ R = 8/100 = 0.08
∵ She has an annual income
∴ T = 1
→ Substitute them in the rule to find the interest amount
∴ I = x × 0.08 × 1
∴ I = 0.08x
∵ She invested $300 more than twice the previous amount
∴ P = 2x + 300
∵ The rate is 12%
∴ R = 12/100 = 0.12
∵ T = 1
→ Substitute them in the rule to find the other interest amount
∴ I = (2x + 300) × 0.12 × 1
∴ I = 0.24x + 36
∵ Her total annual income from both investments is $548
→ Add the two amount of interest and equate their sum by 548
∴ 0.08x + 0.24x + 36 = 548
→ Add the like terms in the left side
∴ 0.32x + 36 = 548
→ Subtract 36 from both sides
∴ 0.32x + 36 - 36 = 548 - 36
∴ 0.32x = 512
→ Divide both sides by 0.32
∴ x = 1600
∴ She invested $1600 at 8%
→ Substitute x by 1600 in the expression of the other amount to find it
∵ 2x + 300 = 2(1600) + 300 = 3500
∴ She invested $3500 at 12%
The high school decided to buy new unitorms for the girls and boys' basketball teams. They plan to buy 35 uniforms with a total cost of $1,235. The store
offers discounts based on the number of items the school buys, as shown below. What will the discounted price be for the high school?
Answers
Answer:
$802.75
Step-by-step explanation:
1235x0.35=432.25
1235-432.25=802.75
When you are adding in commas to separate periods, which direction do you move to place them? What is the second set of period called?
Answers
Caelan is saving to buy a vacation home. He inherits some money from a wealthy uncle, then combines this with the $ 24162 he has already saved and doubles the total in a lucky investment. He ends up with $ 146012 , just enough to buy a cabin on the lake. How much did he inherit?
Answers
Answer:
The amount inherited is $48,844
Step-by-step explanation:
Here, we want to know the amount of money inherited by Caelan.
Let the amount be $x
From the question, the amount inherited was combined with 24,162 and doubled in an investment to give 146,012
Thus, the amount before the lucky investment will be;
x + 24,162
Thus , after doubling, the amount becomes;
2(x + 24,162)
and this equals 146,012
2(x + 24,162) = 146,012
divide both sides by 2
x + 24,162 = 73,006
x = 73,006 - 24,162
x = $48,844
Hi! Could someone please answer this question I’m stuck on it please do it ASAP! id appreciate it
Answers
Answer:
198.57 cm^2
Step-by-step explanation:
If we join the 2 semi circles, we get a circle.
We can A = pi*r^2
d= 10, r = 5
Area of circle = pi*5^2 ,
= 25*pi
Since diameter= 10 vertically, it should be 10 horizontally too, but it's divided into 2 because of the 2 semi circles.
Thus, width of each semi circle is 5 cm.
Area of rectangle = l *b
Area = (22-10)*10
Area = 12*10
= 120 cm ^2
Total area = 25pi + 120
= 120 + 25(22/7)
= 120 + 78.57
= 198.57
Hope it helps :)
The value of -4 - x is positive. What must be true about x ?
NEED HELP NOW!!!!!
Answers
Answer:
x is bigger than or equal to 5.
Taking all this into account, we know the answer has to be negative. Would -4 work? No because it would equal 0. So this means x is greater than it equal to -5.
x > -4
pleas help quickly !!
Answers
What is 5-(n-4)=3(n+2)?
Answers
Answer:
-3n-6
Step-by-step explanation:
multiply each term by 3
-3(n+2)
-3n-3*2
-3n-6
What is an equation of the line that passes through the points(6,-6) and (-6,-8)
Answers
Answer:
y=1/6x-7
Step-by-step explanation:
Calories consumed by members of a track team the day before a race are normally distributed, with a mean of 1,700 calories and a standard deviation of 100 calories. If a normal curve is sketched using these data, what is the range for 3 standard deviations to the right and to the left of the mean?
A.) 1,400-2,000
B.) 0-3,500
C.) 1,600-1,800
D.) 1,500-1,900
Answers
Your answer is:
A) 1,400 - 2,000
keep believing and dont give up.
if nobody loves you, i do
Option A is right.
Given that:
Mean = 1700
Standard deviation = 100
So, the range for 3 standard deviations to the right and to the left of the mean is:
[tex]\left(1700-3\left(100\right)\ ,\ 1700\ +\ 3\left(100\right)\right)\\=\left(1700-300,\ 1700\ +\ 300\right)\\=\left(1400,\ 2000\right)[/tex]
Learn more: https://brainly.com/question/14109853
If i have 2 snickers and my friend takes one what would I have left?
A. 2
B. 1
c. All of the above
Answers
Answer:
1
Step-by-step explanation:
PLEASE ! Find the slope of the line graphed.
Answers
Because (0,-2) (-4,0) a negative divides by a negative is a positive
Answer:
slope = -1/2
Step-by-step explanation:
From the graph, pick two points:
[tex](x_{1} , y_{1} ) (x_{2} , y_{2} )[/tex]-> (0, -2) and (-4, 0)
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
so (-2 - 0)/(0-(-4)) = -2/4 -> -1/2
LCM of 56f³g² and 70fg³.
A. 7fg²
B. 7f³g³
C. 280f³g³
D. 280fg²
Answers
Jack runs 4 laps in 6 minutes. At that pace, how long did it take him to run half of a lap? Show your work. Write and solve a proportion for the situation.
Answers
Answer: half a lap would take 45 seconds
Step-by-step explanation:
i really need help i dont understand geometry please answer both
Answers
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{100}[/tex] ( multiply both sides by 100 )
100 × tan35° = opp , that is
opp ≈ 100 × 0.7002 = 70.02
Thus height of tree = 70.02 + 5 = 75.02 ft
--------------------------------------------------------------------
Using the tangent ratio in the right triangle on the right.
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{25.17}{rope}[/tex] ( multiply both sides by rope )
rope × tan40° = 25.17 ( divide both sides by tan40° )
rope = [tex]\frac{25.17}{tan40}[/tex] = [tex]\frac{25.17}{0.839}[/tex] = 30 ft
Write equation in slope intercept form (x=mx+b). Find the slope (x) and the y-intercept (b) of the line
Answers
Answer:
y = 4x - 3
Step-by-step explanation:
When x = 0, y = -3
When y = 0, x = 3/4
One hundred students go to the cafeteria to
eat lunch. Six tables held the same amount of
students while an additional 10 students
stood in line. Which equation can be used to
find the number of students sitting at each
table?
A 100= 10x + 6
B 100 + 6 x= 10
C 10 x - 100 = 10
D 6x + 10 = 100
Answers
Jeremy stands on the edge of a river and throws a rock into the water. The rock leaves his hand at a height 4 feet above the water. The rock reaches the highest point along its path when it is a horizontal distance of 28 feet from his hand and 17 feet above the water. Write a function to represent the height of the rock in terms of its distance from Jeremy’s hand.
Answers
Answer:
The height, h, of the rock as a function of the horizontal distance from Jeremy's hand is h = -13/784·(x - 28)² + 17
Step-by-step explanation:
The given parameters are;
The height of the rock above the water when it leaves Jeremy's hand = feet
The maximum height of the rock = 28 feet
The horizontal distance at maximum height = 17 feet
Therefore, the given coordinates of the maximum height = (28, 17)
The equation of a parabola in vertex form is f(x) = a(x - h)² + k
Taking the maximum point as the vertex of the parabola, we have;
(h, k) = (28, 17)
Substituting the values gives;
f(x) = a·(x - 28)² + 17
At x = 0, the height = 4, we have;
f(0) = 4 = a·(0 - 28)² + 17
4 - 17 = a×28²
-13 = 784 × a
a = -13/784
Therefore, the height of the rock, f(x) = h, as a function of the horizontal distance from Jeremy's hand is therefore;
f(x) = h = -13/784·(x - 28)² + 17
How to find the short sides of a right angle triangle if your only given the length of the hypotenuse which is 15. And the shorts sides are equal to each other.
Answers
a
2
+
b
2
=
c
2
,
a
2
+
b
2
=
c
2
,
can be used to find the length of any side of a right triangle. right angle has a value of 90 degrees (
90
∘
90
∘
). A right triangle is a triangle in which one angle is a right angle. The relation between the sides and angles of a right triangle is the basis for trigonometry.
The side opposite the right angle is called the hypotenuse (side
c
c
in the figure). The sides adjacent to the right angle are called legs (sides
a
a
and
b
b
). Side
a
a
may be identified as the side adjacent to angle
B
B
and opposed to (or opposite) angle
A
A
. Side
b
b
is the side adjacent to angle
A
A
and opposed to angle
B
B
.
The hypotenuse c, opposite the right angle, is the longest side. The legs are shorter and may be the same or different lengths, and are perpendicular to each other in a right triangle.
73,836 divided by 84
show work pls.
Answers
Answer:
879
Step-by-step explanation:
84 |73836
1738-672=663
663-588=756
Solve: x/5 =10 can you help me solve that
Answers
Answer:
d
Step-by-step explanation:
10*5=50
could u vote me brainliest plz? thx :)
Answer:
50
Step-by-step explanation:
x/5 time 5 = 10 times 5
x = 50