Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
18 - 2n2 We are gonna be evaluating
Step 2
18 - 2n^2 Substitute n for 3
18-2(3^2)
Step 3
18-2(3^2) simplify
0
So therefore, your answer is 0
Hope this helps
What is the equation for the nth term of geometric sequence 32,48,72
Answer:
[tex]\bold{a_n =32\left(\frac32\right)^{n-1}}[/tex]
Step-by-step explanation:
[tex]a_1=32\\a_2=48\\a_3=72\\\\\dfrac{a_2}{a_1}=\dfrac{48}{32}=\dfrac32\\\\ \dfrac{a_3}{a_2}=\dfrac{72}{48}=\dfrac32\\\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac32=r[/tex]
Therefore the formula:
[tex]a_n=a_1\cdot q^{n-1}\\\\a_n =32\left(\frac32\right)^{n-1}[/tex]
100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
PLEASE HELP!!
Find the volume of the following
square pyramid.
Help Resources
8 cm
6 cm
6 cm
V = [?] cm3
Enter
Answer:
96
Step-by-step explanation:
The volume of the square pyramid is 96 cm³.
How to find the volume of a square pyramid?
You can locate the extent of a normal square pyramid with the use of the volume formula= base location² × height / 3. Take be aware that the bottom vicinity equals the square of the pyramid's base side period. However, the peak is the perpendicular distance between the pyramid's base and the pyramid's vertex.
By using the given formula, we get
V= a² h/3
=6² * 8 / 3 = 96
The answer is 96 cm³.
The volume of a pyramid is found using the formula V = (1/3) B*h, where 'B' is the base area and 'h' is the height of the pyramid.
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What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
(lg 5)²+(lg 2)(lg 50)
need solution....
Solve the system using substitution. y = 2x + 10
y = x + 8
A. ( 6, 14)
b. ( 2, 14)
C. (2, 10)
D. (-2,6)
Answer:
Hi! The answer to your question is D. (-2, 6)
Step-by-step explanation:
☆*: .。..。.:*☆☆*:☆*: .。..。.:*☆☆*: .。..。.:*☆ .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
I need help please.
Answer:
x=33
Step-by-step explanation:
1) write the equation: 180=90+(x+15)+(x+9)
2) subtract 90 on both sides and add x+15 and x+9 together: 90=2x+24
3) subtract 24 from both sides: 66=2x
4) divide both sides by 2: x=33
What shape is figure b?
Figure a is a half sphere and figure b is a cylinder.
cylinder
sphere
half sphere
cone
The solution is, Figure a is a half sphere and figure b is a cylinder.
What is shape?In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface. Everything we see in the world around us has a shape.
here, we have,
from the given figure, we have,
the given shape has two parts,
the upper half is a half sphere.
Hemisphere includes the prefix hemi-, meaning "half". The northern and southern hemispheres are divided by the equator, the circle halfway between Earth's two poles. The eastern and western hemispheres aren't divided so exactly, since there are no poles in the Earth's east-west dimension.
and, the part b is a cylinder.
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Hence, The solution is, Figure a is a half sphere and figure b is a cylinder.
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Tom has a 15 pounds bag of cat food. If he feeds his cat 1/4 pound
of food each day. How many days will the 15 pound bag of
cat food last? Show your thinking.
Answer:
it will take his cat 60 days to finish the entire bag
Step-by-step explanation:
5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
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City officials are putting a garden around a memorial site as shown below.
Part A Determine the area of the memorial site in terms of x.
Write your answer as a trinomial and include units. Show or explain your work.
Part B The outside edges of the garden form a rectangle whose length and
width are proportional to the sides of the memorial site, increased
by a scale factor of 3. Determine the lengths of the outside edges of
the garden. Write your answer in simplest form.
Part C Determine the area of the garden in terms of x. Write your answer in
simplest form. Show or explain your work
Answer:
I only remember how to do part A, so sorry for using up an answer.
Step-by-step explanation:
Part A:
[tex](3x+5)(4x+7)\\ 12x^2+21x+20x+35\\ 12x^2+41x+35 ft^2[/tex]
(I also don't know if this is the form you need it in, but I hope I could help a little.)
The area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
What is Area of Rectangle?The area of Rectangle is length times of width.
(a) The area of the memorial site is given by multiplying the length and width:
Area = (4x + 7)(3x + 5)
Expanding this expression using the distributive property, we get:
Area = 12x²+ 41x + 35
Therefore, the area of the memorial site is 12x² + 41x + 35 square units.
(b) The length and width of the garden are proportional to the length and width of the memorial site, increased by a scale factor of 3.
Length of garden = 3(4x + 7) = 12x + 21
Width of garden = 3(3x + 5) = 9x + 15
Therefore, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units.
(c) The area of the garden is given by multiplying the length and width:
Area of garden = (12x + 21)(9x + 15)
=108x²+180x+189x+315
=108x²+369x+315
Hence, the area of the memorial site is 12x² + 41x + 35 square units, the lengths of the outside edges of the garden are 12x + 21 units and 9x + 15 units and 108x²+369x+315 is the area of the garden in terms of x.
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Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.
Answer:
c = 1.41n i think lol
Step-by-step explanation:
Answer:
The correct answers are these.
Step-by-step explanation:
Can any one answer everything
Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?
Answer:
60%
Step-by-step explanation:
Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.
They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:
6/10 = 0.60, or 60%
Tina has a 60% chance of drawing a nickel from her pocket.
~
Using the given degree measure give two coterminal angle (one negative and one positive) and the reference angle. - 40°
Answer: C 2021 edg
Step-by-step explanation:
Please help almost finisHHHH
Answer:
B. The y-coordinate is positive.
Step-by-step explanation:
Graph y= - |x-3| +4
Answer:
x-1 y-2
x-2 y-2
x-3 y-4
Step-by-step explanation:
graph the points. It should look like a triangle without the bottom.
Can anyone help me with this geometry test please like I will do anything!! I will give brainlist!!
Also NO links!!
Answer:
It c
Step-by-step explanation:
Thirty percent of the cost of a dress is the same as
one-half the cost of the dress decreased by $8.
What is the cost of the dress?
hi thats confusingAnswer:
Step-by-step explanation:
h
Help please, I suck at maths
Answer:1, 5
Step-by-step explanation:
divide the expression to get your answer then divide the choices on the right. find the ones with the same answer.
Answer:
7,610/50
.761/.005
Step-by-step explanation:
Compare both expressions' sums and check them off.
Determine the value of x in the diagram.
112
x
<
68
112
=
Answer:
The value of x is 68, all the angles in a parrelelogram equal 360, 68 + 112 + 112 + x = 360, all the angles are 292, and subtracted from 360 you get 68
Step-by-step explanation:
finna tells her friend to follow the steps shown which choice best explains why each friend end up with their staring number
Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)
Answer:
Given GP:
tₙ = (1/3)ⁿ⁻¹We see that:
t₁ = 1, r = 1/3Sum of n terms:
Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]pls help ty identify the translation
hiii please help i’ll give brainliest:)
Answer:
Row ships
Step-by-step explanation:
They helped because a lot of travel took place on the Mediterranean Sea which was a massive body of water that led to the coasts of trading locations.
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
Please help me out with this problem
Answer:
A 4/3
Step-by-step explanation:
to long to explain but its right
PLEASE HELPP I AM FAILING AND I NEED THIS ASAP!!! TYSM
Use the function f(x) = 2 sin x-1 to identify the following.
A. amplitude =
B. period =
C. midline=
Answer:
See below for answers
Step-by-step explanation:
Do you mean [tex]f(x)=2sin(x-1)[/tex] or [tex]f(x)=2sin(x) -1[/tex]?
Use the formula [tex]f(x)=asin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex]-\frac{c}{b}[/tex] is the phase shift, [tex]d[/tex] is the vertical shift, and the period is [tex]\frac{2\pi}{|b|}[/tex].
Assuming your first case is true, the amplitude would be [tex]|a|=|2|=2[/tex], your period is [tex]\frac{2\pi}{|1|}=2\pi[/tex], and your midline/vertical shift is [tex]d=0[/tex].
Assuming your second case is true, everything but the vertical shift stays the same. It would be [tex]d=-1[/tex] in this case.
A triangle has sides with lengths of 9 yards, 12 yards, and 15 yards. Is it a right triangle?
Answer:
Yes
Step-by-step explanation:
Plug your values into the Pythagorean Theorem to check if they make sense
For the data shown in the scatter plot below, identify a point apart from the main cluster?
A (1, 4)
B (3, 5)
C (8, 7)
D(4, 7)
Answer:
C. (8, 7)Step-by-step explanation:
There are 2 points that are apart from the main cluster:
(8, 7) and (8.5, 7.5)One of them is included in the answer choices:
C. (8, 7)