Answer:
[tex] \frac{20}{101} [/tex]
Step-by-step explanation:
I hope this helps
Find a formula for the nth term of the geometric sequence. Assume the n begins with 1. a1=18, a2=9
Answer:
Option E
Step-by-step explanation:
Explicit formula of a geometric sequence is,
[tex]T_n=a_1(r)^{n-1}[/tex]
Here, [tex]a_1=[/tex] First term
[tex]r=[/tex] common ratio
[tex]n=[/tex] number of terms
If, [tex]a_1=18[/tex] and [tex]a_2=9[/tex]
Common ratio of the sequence [tex]r=\frac{a_2}{a_1}[/tex]
[tex]r=\frac{9}{18}[/tex]
[tex]r=\frac{1}{2}[/tex]
By substituting these values in the formula,
[tex]T_n=18(\frac{1}{2} )^{n-1}[/tex]
Therefore, Option E is the answer.
Jake's investment account is compounded continuously at a rate of 8% per year. After 3 years, his account has a balance of $10,000. Which function could be used to model the value, A(t), of Jake's account t years since it was opened?
Answer:
10,000 × .08 = 800.
Step-by-step explanation:
2400 interest in 3 yrs
Why does the equation 5(3x-4)-6x=3(3x-4) have no solutions?
Bureause when you subtract from both sides of the equation and simplify you get 20-20
Berise when you add to both sides of the equation and simplify you get = -12
Because when you add to both sides of the equation and simplify you get 2020
Because when you add-to both sides of the equation and simple you get 20-12
Choose the law and the formula that would be used to solve the triangle.
Answer: A^2
Step-by-step explanation:
Angle C + Angle B = Angle A
pls helpppp lol :/ I’d really appreciate it !!
Step-by-step explanation:
60+5x+5=180 (being angle of straight line)
5x+65=180
5x=180-65
5x=115
x=23
Simplify 2/5 (40x – 75)
which one ?? help plsss
100x - 187.5
80x/5 - 150/5
80x - 150
16x-30
Answer:
16x-30
Step-by-step explanation:
distribute 2/5 by 40x and then 75
2/5(40x) - 2/5(75)
16x - 30
:Renita's Bike Ride
Renita is riding her bike to school. It takes her 5 minutes to
travel half of a mile.
Answer:
Okay well if you need to find mph she is going 10 mph
Step-by-step explanation:
1/2+1/2= 1 mile in 10 min, multiply both sides by 6 and you get 1 mile = 60min
what percentage would this be?
Answer:
50%
Step-by-step explanation:
Three-dimensional objects are measured by their length, width and what
Answer:
height
Step-by-step explanation:
you can just look these questions up
Mr. Wallace gives the cashier $120 to purchase 4 dress shirts. The cashier gives him
$11.84 in change. If each shirt costs the same amount, what is the cost in dollars and
cents for each dress shirt?
Answer:
27.04 per dress
Step-by-step explanation:
120 - 11.84 = 108.16
108.16 ÷ 4 = 27.04
Please help me with part C
Answer:
20%
Step-by-step explanation:
What is the area of the triangle shown below?
...................
..........
What is the value of x. Please help out. This is due today!
Answer:
70°
Step-by-step explanation:
In the context it says that Franklin St. is parallel to Washington St.
The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.
Supplementary angles are angles that add up to each other to make 180°
So lets subtract:
180 - 110 = 70°
Angle x = 70°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
hey! please help i’ll give brainliest
Answer:
b
Step-by-step explanation:
3 • 12 ÷ 2 • 3 ÷ 3
6
2
18
54
Answer:
18.
Step-by-step explanation:
3*12 = 36
36/2 = 18
18*3 = 54
54/3 = 18
Answer:
18
Step-by-step explanation:
3 x 12 is 36,
36 divided by 2 is 18,
18 x 3 is 54,
54 divided by 3 is 18
-3(8n+10)
distributive property
Please help me find volume for this pyramid I'm having trouble.
Answer:
A. 850 cubic feet
Step-by-step explanation:
Have a good day :)
In triangle ABC, if angle A measures 78° and angle B measures 63º, what is the measure of angle C?
Answer:
∠C=39°
Step-by-step explanation:
The interior angles of a triangle will always have a sum of 180°.
∠A+∠B+∠C=180°
78°+63°+∠C=180°
∠C=180°-78°-63°
∠C=39°
Answer:
39 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees. So, you know that angle C added with angles A and B will equal 180. if you take 180, minus 78, minus 63, you get the answer 39.
PLEASE HELP ME I'M SO CONFUSED!!!!
Answer: C is the answer for first picture
F is the answer for second picture
C is the answer for number one on 3rd picture
F is the answer for number 2 on 3rd picture
Step-by-step explanation:
Answer:
look below
Step-by-step explanation:
for the first picture, the answer to the first problem is C
for the first picture, the answer to the second problem is G
for the second picture, the answer is F
for the third picture, the answer to the first problem is C
for the third picture, the answer to the second problem is G
have a nice day!
Amelia randomly selects two cards, with replacement, from a normal deck of cards. Calculate the probability that: the first card is a 9 of Clubs and the second card is a 10 of Clubs.
Answer:
1 / 2704
Step-by-step explanation:
Number of cards in a deck = 52
9 of clubs in a deck = 1
10 of clubs in a deck = 1
Probability = required outcome / Total possible outcomes
P(9 of club) = 1 / 52
With replacement ;
Then ;
P(10 of club) = 1 / 52
Hence,
P(9 of club, then 10 of club) = 1/52 * 1/52 = 1 / 2704
Find the perimeter of the figure below composed of an isoceles trapezoid and one semicircle rounded to the nearest tenth place.
Answer:
πr + (4+6+6+8) = 2π+24=30.28
factor each polynomial
ok so
leave y^2 alone
so you need to get 2 factors that when added equal 11 so 9x2=18
and 9+2=11
so it would be (y+9)(y+2)
hope this helps
Answer:
Step-by-step explanation:
(x + 9 ) ( x + 2 )
Find the zeros of the function.
Enter the solutions from least to greatest.
g(x) = 4x^2 – 484
lesser x =
greater x =
Answer:
11 and -11
Step-by-step explanation:
7x + 6y = -1 ; -x + 2y = 3 with elimination
Answer:
x= -1, y=1
Step-by-step explanation:
First label the 2 equations.
7x +6y= -1 -----(1)
-x +2y= 3 -----(2)
Then choose which term you would like to eliminate. To eliminate the y term, multiply equation (2) by 3 such that the coefficient of y is 6.
(2) ×3:
-3x +6y= 9 -----(3)
Since the coefficient of y is positive 6 in both equations, subtract one equation from the other.
(3) -(1):
-3x +6y -(7x +6y)= 9 -(-1)
Expand:
-3x +6y -7x -6y= 9 +1
-10x= 10
x= 10 ÷(-10)
x= -1
Substitute x= -1 into (2):
-(-1) +2y= 3
1 +2y= 3
2y= 3 -1
2y= 2
y= 2 ÷2
y= 1
------------------------------------------------------------
2nd method: eliminating the x term
(2) ×7:
-7x +14y= 21 -----(3)
Since the coefficient of y in equation (1) is a positive 7, while that in equation (3) is a negative 7, add the 2 equations together to eliminate the x term.
(1) +(3):
7x +6y -7x +14y= -1 +21
20y= 20
y= 20 ÷20
y= 1
Substitute y= 1 into (2):
-x +2(1)= 3
-x +2= 3
-x= 3 -2
-x= 1
x= -1
Please help. ill give extra points for free if answered.
Answer: B
Step-by-step explanation:
Answer:
the person is correct b
Step-by-step explanation:
Which equation gives the rule for this table?
Answer:
C. y = x + 2
Step-by-step explanation:
2 is being added onto both sides
Help me on this question please!!
Answer:
lol get a life
Step-by-step explanation:
Please Help ASAP
Jorge has a swimming pool that is rectangular in shape. The length and width of the pool are 24 feet and 14 feet. He also knows that the pool has a consistent depth of 5 feet. He needs to add 4 drops of chlorine for every 50 cubic feet in his pool. How many drops of chlorine should Jorge use to chlorinate his pool properly?
Answer:
140 drops
Step-by-step explanation:
Length of the pool = 24 feet
Width of the pool = 14 feet
Depth of the pool = 5 feet
Volume of the pool = length × width × depth
= 24 ft * 14 ft * 5 ft
= 1,750 ft³
Volume of the pool = 1,750 ft³
He needs to add 4 drops of chlorine for every 50 cubic feet in his pool.
Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³
= 1,750 ft³ / 50 ft³
= 35
Number of 50 cubic feet in the volume of the pool = 35
How many drops of chlorine should Jorge use to chlorinate his pool properly?
Number of drops of chlorine Jorge should use = number of drops per 50 ft³ × Number of 50 cubic feet in the volume of the pool
= 4 × 35
= 140 drops
Number of drops of chlorine Jorge should use = 140 drops
A high school soccer team is going to Columbus to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (3, 4) and the stadium in Columbus is at point (7, 1). The map shows a highway rest stop halfway between the cities. What are the coordinates of the rest stop? What is the approximate distance between the high school and the stadium? (One unit = 6.4 miles.)
Answer:
a) The coordinates of the rest stop is [tex]C(x,y) = \left(5, \frac{5}{2} \right)[/tex].
b) The approximate distance between the high school and the stadium is 32 miles.
Step-by-step explanation:
a) The rest stop is located in the midpoint of the line segment between the high school and the stadium. Vectorially speaking, we use the following formula:
[tex]C(x,y) = \frac{1}{2}\cdot A(x,y) + \frac{1}{2}\cdot B(x,y)[/tex] (1)
Where:
[tex]A(x,y)[/tex] - Coordinates of the high school.
[tex]B(x,y)[/tex] - Coordinates of the stadium.
[tex]C(x,y)[/tex] - Coordinates of the rest stop.
If we know that [tex]A(x,y) = (3, 4)[/tex] and [tex]B(x,y) = (7,1)[/tex], then the coordinates of the rest stop are, respectively:
[tex]C(x,y) = \frac{1}{2}\cdot (3, 4) + \frac{1}{2}\cdot (7, 1)[/tex]
[tex]C(x,y) = \left(\frac{3}{2}, 2 \right) + \left(\frac{7}{2}, \frac{1}{2} \right)[/tex]
[tex]C(x,y) = \left(5, \frac{5}{2} \right)[/tex]
The coordinates of the rest stop is [tex]C(x,y) = \left(5, \frac{5}{2} \right)[/tex].
b) The approximate distance between the high school and the stadium ([tex]d[/tex]), in miles, is the product of the Length Equation of the Line Segment and the scale factor:
[tex]d = r\cdot \sqrt{(\Delta x)^{2} + (\Delta y)^{2}}[/tex] (2)
Where:
[tex]r[/tex] - Scale factor, in miles.
[tex]\Delta x[/tex], [tex]\Delta y[/tex] - Horizontal and vertical distances between the high school and the stadium, no unit.
If we know that [tex]r = 6.4\,mi[/tex], [tex]\Delta x = 4[/tex] and [tex]\Delta y = -3[/tex], then the distance between the high school and the stadium is:
[tex]d = r\cdot \sqrt{(\Delta x)^{2} + (\Delta y)^{2}}[/tex]
[tex]d = (6.4\,mi)\cdot \sqrt{4^{2}+(-3)^{2}}[/tex]
[tex]d = 32\,mi[/tex]
The approximate distance between the high school and the stadium is 32 miles.
Find the volume of a pyramid with a square base, where the area of the base is 6.8m^2
and the height of the pyramid is 8.6. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex]19.5\:\mathrm{m^3}[/tex]
Step-by-step explanation:
The volume of a square pyramid is given by [tex]V=\frac{1}{3}\cdot s^2\cdot h[/tex], where [tex]s[/tex] is the base edge and [tex]h[/tex] is the height. Since the base area ([tex]s^2[/tex]) is already given to us, we can substitute directly in to our equation.
Solving for [tex]V[/tex]:
[tex]V=\frac{1}{3}\cdot 6.8\cdot 8.6\approx \boxed{19.5\:\mathrm{m^3}}[/tex]
The answer on deltamath is
19.5m^3