Answer:
[tex]18th=44032[/tex]
Step-by-step explanation:
From the question we are told that:
9th term [tex]a9=\frac{43}{256}[/tex]
14th term [tex]a14=172[/tex]
Generally the equation for Geometric sequence is mathematically given by
[tex]a_n=a_1r^{n-1}[/tex]
For 9th term
[tex]\frac{43}{256}=a_1r^{8}[/tex]
For 14th term
[tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]
Substitute in 9th term
[tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]
[tex]\frac{43}{256*172}=r^{-5}[/tex]
[tex]r=^5sqrt{\frac{44032}{43}}[/tex]
[tex]r=4[/tex]
Therefore First term a is given as
[tex]a_1=\frac{172}{4^13}[/tex]
[tex]a_1=2.563*10^{-6}[/tex]
Generally the equation for the 18th term is mathematically given by
[tex]18th=a_1r^{17}[/tex]
[tex]18th=2.563*10^{-6}*4^{17}[/tex]
[tex]18th=44032[/tex]
solve it please, (√81 + √9) ASAP
Step-by-step explanation:
hope it is helpful to you
Answer:
2√21
Step-by-step explanation:
I basically simplify the radical by breaking the radical up into products of the know factors, assuming the real numbers.
Sasha has a rectangular garden 8 m by 10 m. The garden has a path surrounding it which is 2 m wide. What is the total area of the garden and pathway? A. 168 m^2 B. 120 m^2 C. 116 m^2 D. 96 m^2 E. 84 m^2
Answer:
b
Step-by-step explanation:
Area of a rectangle = length x width
length = 8 + 2 = 10
width = 10 + 2 = 12
10 x 12 = 120
I need Answer Immediately!!!!!!!!!
Answer:
the equation is x-6
pls mark me as brainliest
SOLVE THE PROBLEM. WILL CHOOSE BRAINLIEST
S+S+8+12=38
Answer:
S=9
Step-by-step explanation:
First combine like terms
2s+20=38
then simplify
2s=18
S=9
Please help I’ll give brainlist
What are Three examples for linear equations? Show work
Answer:
2x – 3 = 0
2y = 8.
m + 1 = 0
x + y = 2
3x – y + z = 3.
Step-by-step explanation:
these are 5 examples
Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not. Considering this data, how many of the next 6 pizzas sold would you expect to have pepperoni?
Answer:
1 pizza
Step-by-step explanation:
Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not.
This means, the total number of pizzas sold is
10 pepperoni + 2 pizzas without pepperoni = 12 pizzas
Hence, the number of 6 pizzas that would be sold without pepperoni is calculated as:
From the above question,
12 pizzas = 2 pizza without pepperoni
6 pizzas = x
Cross Multiply
12 pizzas × x = 6 Pizzas × 2 pizza without pepperoni
x = 6 Pizzas × 2 pizza without pepperoni/12 pizzas
x = 1 pizza without pepperoni
Therefore, 1 pizza would not have pepperoni out of 6 pizzas sold
Answer:
5
Step-by-step explanation:
correct answer marked brainliest
Answer:
a. 120
b. 336
Step-by-step explanation:
hope this helps:)
You rent an apartment that costs \$1000$1000 per month during the first year, but the rent is set to go up \$160$160 per year. What would be the monthly rent during the 10th year of living in the apartment?
Answer:$2440
Step-by-step explanation:
a10 = a1 + (n-1)d <--- arithmetic sequence formula
a10 = 1000 + 9(160)
a10 = 2440
Four-fifths of a math class is made up of female students. What is the
ratio of male students to female students?
I am answering this so the other answer can get brainliest since they were the ones who gave you the answer :)
Condense (cos92°)(cos133°)-(sin92°)(sin133°) into a singular trigonometric function expression, then find the exact value.
Answer:
-1/√2
Step-by-step explanation:
According to trigonometry identity
cos(A+B) = cosAcosB - sinA sinB
Given the expression
(cos92°)(cos133°)-(sin92°)(sin133°)
This can be expressed as cos(92+133) where A = 92, B = 133
(cos92°)(cos133°)-(sin92°)(sin133°)
= cos(92+133)
= cos225
= -0.7071
= -1/√2
Hence the exact value is -1/√2
EASY MATH PLEASE HELP!
EXPLANATION REQUIRED
NO LINKS PLEASE
I WILL GIVE BRAINLIEST!
Select all the equations that have graphs with the same y-intercept.
A:
y = 3x - 8
B:
y = 32 - 9
C:
y 3 + 8
D:
y 528
8
Any help??!
Answer:
A, D, E
Step-by-step explanation:
y=mx+b b is the y-intercept
I can see that 3 equations have -8 as a y-intercept so select those
Ex: y=3x-8
A square pyramid has a slant height of 15 cm. A side length of the base is 20 cm. What is the surface area of the pyramid? Enter your answer in the box. Answer in cm²
Answer:
1000 cm2
Step-by-step explanation:
Pretty sure
Answer:
Your answer is: 1000[tex]cm^{2}[/tex]
Step-by-step explanation:
Help i need to find this,
Answer:
Adjacent
Step-by-step explanation:
They are next to each other ^^
omg please help me I don't understand
Answer:
508sq. cm
Step-by-step explanation:
surface area of a prism = 2(lw + wh + lh)
For the larger prism
Surface area = 2(2*10 + 2 * 12 * 10*12)
Surface area = 2(20+24+120)
Surface area = 2(164)
Surface area = 328sq.cm
For the smaller prism
Surface area = 2(3*6 + 3 * 8 * 6*8)
Surface area = 2(18+24+48)
Surface area = 2(90)
Surface area = 180 sq.cm
Surface area of the figure = 328 + 180
Surface area of the figure = 508sq. cm
121057003
Sphere
Find the area of
radius tem
Area - 300cm-
30cm ainda
Answer:
Step-by-step explanation:
Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula
C
=
D
×
π
where
D
is the length of the diameter of the circle and
π
≈
3.14
.
Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula
C
=
2
×
r
×
π
where
r
is the length of the radius of the circle and
π
≈
3.14
.
Area of Circle Formula: The area of a circle is determined by the following formula
A
=
r
×
r
×
π
=
r
2
×
π
Pls help !! Will give brainliest
Answer:
the first one (25x + 30y is less than or equal to 100)
Step-by-step explanation:
money for clothing set x amount of sets plus pairs of shoes has to be less than or equal to 100 dollars.
Can someone please help? The question is in the picture.
===========================================================
Explanation:
The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.
Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.
Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.
Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)
a^2 + b^2 = c^2
a^2 + 5^2 = 9^2
a^2 + 25 = 81
a^2 = 81 - 25
a^2 = 56
a = sqrt(56)
a = sqrt(4*14)
a = sqrt(4)*sqrt(14)
a = 2*sqrt(14)
The exact length of PQ and PS is 2*sqrt(14) units.
---------
We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.
perimeter = PQ+QR+RS+SP
perimeter = 2*sqrt(14)+5+5+2*sqrt(14)
perimeter = 10+4*sqrt(14)
Answer is choice B
Side note: The expression above approximates to roughly 24.966629
On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temperature over time?
Answer:
Step-by-step explanation:
t = 2h-8
since you didn't put in the equations, just put in what ever variable is where t is at and any variable other than t for the h :)
Answer:
Please put equations, so I can able to give you ans
Estimate 121.45 ÷ 10.87
Answer:
11
Step-by-step explanation:
mean, median, mode, and range
23, 24, 24, 25, 26, 27, 28, 29, 30
Mean- 26.222222222222
Median- 26
Mode- 24
Range- 7
Hope this helped :D
What is the slope of the line y = 6x + 3?
3
-6
6
-3
Answer:
the answer is 6
Step-by-step explanation:
slope = m
y = mx + c
m = 6
Find the missing side. Round to the nearest tenth.
Step-by-step explanation:
sin x = 12/16 = 0.75
x = arc sin 0.75 = 48.6°
cos x = 36/40 = 0.90
x= arc cos 0.90 = 25.8°
cos x = 10/15 = 0.6667
x= arc cos 0.6667 = 48.2°
tan x = 30/18 = 1.6667
x = arc tan 1.6667 = 59.0°
PLZ HELP ME
What is the quadratic regression equation for the data set?
yˆ=−0.175x2−3.786x+121.119
yˆ=−0.175x2+3.786x−121.119
yˆ=−0.175x2+3.786x+121.119
yˆ=−0.175x2−3.786x−121.119
x y
6 100
3 110
10 50
3 90
5 120
15 30
9 70
Answer:yˆ=−0.175x2−3.786x+121.119
look at picture
Step-by-step explanation:
The quadratic regression equation for the data set is:
y^ = -0.175x²-3.786x+121.119
What is Quadratic Regression Equation?Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.
According to the given problem,
Let us choose any value of x,
x = 10
For this value of x we can see that the respective value of y= 50
Substituting the value of x in the equations to see which equation satisfies the value of y as 50.
Substituting the value of x in the equation:
y^ = -0.175x²-3.786x+121.119
y^ = 50
Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.
Learn more about Quadratic Linear Equations here:
https://brainly.com/question/24639881
#SPJ2
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
9514 1404 393
Answer:
D. 2%
Step-by-step explanation:
The growth rate can be found by looking at the growth factor of the exponential function.
f(x) = (initial value) × (growth factor)^x
The growth rate is related by ...
growth factor = growth rate + 1
This means the growth rate of f(x) is 1.04 -1 = 0.04 = 4%.
__
We can write the function g(x) describing the table as ...
g(x) = (value at x=x1) × ((value at x=x2)/(value at x=x1))^((x-x1)/(x2-x1))
So, this could be ...
g(x) = 31.21 × (32.47/31.21)^((x-2)/2) = a·b^x
where b = (32.47/31.21)^(1/2) ≈ 1.02 . . . . growth factor
This means the growth rate for g(x) is 1.02 -1 = 0.02 = 2%.
__
Then the difference between the growth rates of the two functions is ...
4% - 2% = 2% . . . . . matches choice D
Problem Set
1. A 5-liter cleaning solution contains 30% bleach. A 3-liter cleaning solution contains 50%
bleach. What percent of bleach is obtained by putting the two mixtures together?
5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.
3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.
Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is
(3 L) / (8 L) = 0.375 = 37.5%
A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 9cm, and the base has a radius of 4cm. How much water is needed to fill 150 cups? Use 3.14 for π, and do not round your answer.
Answer:
22608cm³
Step-by-step explanation:
Step 1
We find how many liters of water can be contained in 1 cup. We do this by finding the volume of the cup.
Cup is shaped as a cone
The volume of a cone = πr²h/3
Where
r = radius = 4cm
h = height = 9cm
π = 3.14
Hence,
Volume of the cone (cup) =
3.14 × 4² × 9/3
= 150.72 cm³
Step 1
How much water is needed to fill 150 cups?
1 cup = 150.72 cm³ of water
150 cups = x
Cross Multiply
x = 150 × 150.72 cm³
x = 22608 cm³ of water
Therefore, 22608cm³ of water is needed to fill 150 cups
Need to know asap!!
Expand and simplify:
6(3j – 2) - 4(2j + 4)
The longest straw that can fit inside a 5-inch cylindrical cup, if the straw is placed at an angle in the cup, is 6
inches
What is the approximate length of the cylinder's radius
Answer:
yo i do primavara to imma do 3.9
Step-by-step explanation:
oh and also if your grades are bad just do to the dashboard page and highlight you grade percentedge and click inspect if you know and if you see you number pecent on the inspect and right click and click edit as htl and change it to any percent you want then just click out of the inspec option and you will have A S AND B S
The approximate length of the cylinder's radius will be 3.3 inches. Then the correct option is A.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The longest straw that can fit inside a 5-inch cylindrical cup, if the straw is placed at an angle in the cup, is 6 inches.
Then the approximate length of the cylinder's radius will be given by the Pythagoras theorem.
Let x be the length of the radius. Then we have
x² = 6² - 5²
x² = 36 - 25
x² = 11
x = √11
x = 3.316
x ≅ 3.3
More about the geometry link is given below.
https://brainly.com/question/7558603
#SPJ2
The slope of a line is -, and the y-intercept is . What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0
Answer:
You didn't add the value of the slope and y intercept. Don't think there's anything that can be done with the info you provided.