Determine the value of the indicated term.
a1 = -4, d=4
Determine the 15th term
Answer:
52
Step-by-step explanation:
The general arithmetic sequence formula for this case is
a(n) = -4 + d(n - 1).
Thus, a(15) = -4 + 4(14) = 52
Answer:
The 15th term = 52
Step-by-step explanation:
a₁ = -4
d = 4
n = 15
a₁₅ = The value of the 15th term, (this is what we have to find out)
We know that formula of an arithmetic series is:
aₙ = a₁ + d(n - 1)
Now we can substitute the given values in:
a₁₅ = -4 + 4(15 - 1)
a₁₅ = -4 + 4(14)
a₁₅ = -4 + 56
a₁₅ = 52
So the 15th term = 52
Hope this helps!
find the area of the irregular figure 3 in 3 in 4 in 4 in 6 in 8 in
Answer:
65 in
Step-by-step explanation:
Which angles are represented by the same point on the unit circle as pi/4 ?
Answer:
d) [tex]\frac{9\pi }{4}[/tex]
Step-by-step explanation:
[tex]\frac{9\pi }{4} = 2\pi + \frac{\pi }{4}[/tex]
The correct options are a and d because -7pi/4 and 9pi/4 are the required angles.
Important infromation:
The given angle is [tex]\dfrac{\pi}{4}[/tex].Angles:The angles [tex]\theta\pm 2n\pi [/tex] represent the same point on the unit circle as [tex]\theta[/tex].
It means, [tex]\dfrac{\pi}{4}\pm 2n\pi [/tex] represents the same point on the unit circle as [tex]\dfrac{\pi}{4}[/tex].
The required angles are:
[tex]\left\{...,\dfrac{\pi}{4}-4\pi,\dfrac{\pi}{4}-2\pi, \dfrac{\pi}{4},\dfrac{\pi}{4}+2\pi,\dfrac{\pi}{4}+4\pi,...\right\}[/tex]
[tex]\left\{...,-\dfrac{15\pi}{4},-\dfrac{7\pi}{4}, \dfrac{\pi}{4},\dfrac{9\pi}{4},\dfrac{17\pi}{4},...\right\}[/tex]
Therefore, the correct options are a and d.
Find out more about 'Angles' here:
https://brainly.com/question/23475646
How many degrees are in a third of a full turn?
Answer:
120 degrees
Step-by-step explanation:
There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.
Answer:
120⁰ is the answer. Hope it helps have a nice day also ;)
Plz hurry find the surface area and volume to the nearest whole number
Answer:
87.96 or 88 - surface area
62.83 or 63 - volume
Step-by-step explanation:
Answer:
Surface area: 89 yd
Volume = 63 yd
Step-by-step explanation:
Surface area:
A=2πrh+2πr^2
=2·π·2·5+2·π·2^2
=87.96459
Volume:
V=πr2h
=π·22·5
=62.83185
In a bag of plain M and M's Yellow 20% red 20% orange 10% blue 10% green 10% brown 30%
Three M and M's are chosen give the probabilities
1. none are red
2. The third one is the first one that is yellow.
Answer:
1) P(none are red) = 51.2%
2) P(third one is the first one that is yellow) = 12.8%
Step-by-step explanation:
We are given;
P(Yellow) = 20% = 0.2
P(red) = 20% = 0.2
P(Orange) = 10% = 0.1
P(Blue) = 10% = 0.1
P(green) = 10% = 0.1
P(brown) = 30% = 0.3
1) Probability that one is not red is;
P(one not red) = 1 - P(red)
P(one not red) = 1 - 0.2
P(one not red) = 0.8
Since 3 are selected, we will apply multiplication rule for independent events to get;
P(none are red) = 0.8 × 0.8 × 0.8
P(none are red) = 0.512
P(none are red) = 51.2%
2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;
P(third one is the first one that is yellow)
= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)
P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2
P(third one is the first one that is yellow) = 0.128
P(third one is the first one that is yellow) = 12.8%
Simplify 12x6 y7 18 x3y5.
Answer:
216x^9y^12
Step-by-step explanation:
Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set
Answer:
Extrapolation, because a key that is 12 keys from middle c is outside the data set.
Step-by-step explanation:
Given
See attachment for the data set
Required
Which option answers the question
From the attached dataset, we can see that 12 is not within the range of the data set.
When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.
Hence, (d) is correct
Answer:
d
Step-by-step explanation:
trust me
A triangle contains angles measuring 28oand 37o. How many degrees is the third angle?
If cos A = 1/2, then what is the positive value of cos 1/2 A, in simplest radical form with a rational denominator?
Answer:
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Given
[tex]\cos A = \frac{1}{2}[/tex]
Required
Determine [tex]\cos(\frac{1}{2}A)[/tex]
To do this, we make use of the following identity
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}[/tex]
Substitute: [tex]\cos A = \frac{1}{2}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}[/tex]
Solve the numerator
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}[/tex]
Rewrite as:
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}[/tex]
Take square roots
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
Simra cuts an 8-carat diamond into smaller pieces. If each piece of diamond is 1/3 carat, how many pieces of diamond does Simra have now?
Answer: 24
Step-by-step explanation:
Given
Simra has an 8-carat diamond
She cuts small pieces of [tex]\frac{1}{3}[/tex] carat
Suppose she cuts x pieces of diamond
[tex]\therefore x=\dfrac{8}{\frac{1}{3}}\\\\\Rightarrow x=8\times 3\\\Rightarrow x=24[/tex]
She has now 24 pieces of diamond.
i need help with this question! will give thanks :)))
Answer:
2[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula and plug in the values
d=(3−(−3))2+(2−6)2√
d=(6)2+(−4)2√
d=36+16√
d=[tex]\sqrt{52}[/tex]
d= 2[tex]\sqrt{13}[/tex]
Find the radius and area
16.8 cm
Answer:
I think it's 886.7
Step-by-step explanation:
hope this helps sorry if incorrect have a good rest of your day/night :) ❤
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
from age 5 to age 15 the number of hourse watched goes up and so on
The length of an arc of a circle is 6/5 pi feet long and the diameter is 10 feet. What is the measure of the central angle?
Answer:
216 degrees.
Step-by-step explanation:
put it through the formula and set the formula equal to 6/5 pi. then solve.
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
pls answer fast, best question gets brainliest
Answer:
59×695÷500×56677×6626
Find the volume of the figure below. Leave in terms of PT for answers that contain T Round your answer to the nearest hundredthir
necessary
m
A
4 m
O a
112 m
OD
37.33 m
29,63 m
44,41 m
Answer:
a
Step-by-step explanation:
bc look
Simplify -8+4(-3)/5
A.) -4
B.) 4
C.) -4/5
4. Solve 18 (c – 19) = 108. Show your steps
Answer:
c = 25
Step-by-step explanation:
First, you can divide by 18 on both sides:
18 (c - 19) = 108
÷ 18 ÷18
c - 19 = 6
To isolate the variable c, you can add 19 on both sides:
c - 19 = 6
+19 +19
c = 25
Answer:
c= 25
Step-by-step explanation:
108/18 = 6
6 +19 = 25
If you spin the following spinner, what is the probability that you will land on red or green?
Answer:
2/5
Step-by-step explanation:
Find the total surface area of the pyramid.
4 in.
6 in.
6 in.
Answer:96
Step-by-step explanation:
Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS
Find the surface area of the prism.
Answer:
792 feet
Step-by-step explanation:
based on my calculations this is the answers.
792... I think thats the answer beacause that's what I got sorry if incorrect. Have a great day.
A square room has a perimeter of 40 feet. What is the area of the room?
Answer:
100 ft²
Step-by-step explanation:
There are 4 congruent sides in a square
Perimeter = 4x
40 = 4x
x = 10
Area = base x height or length x width
Since all sides are the same, 10 is base and height
10x10 = 100
units = ft²
Answer = 100 ft²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
100 feet (I forget area units so there might be an exponent or something)
Step-by-step explanation:
Basically, the formula for perimeter is the sum of all sides. With area, you are just multiplying length times width. With a square, all of the sides are equal, and there are four sides. 40/4=10. So, each side is 10 feet. With that, you can multiply 10*10 and get 100!
What is the area of the triangle shown?
Answer:
Hello! answer: 120
Step-by-step explanation:
Formula for triangle area:
base × height ÷ 2
24 × 10 = 240 240 ÷ 2 = 120 therefore the area is 120 Hope that helps!
What is the length of RU ?
A) 5 cm
B) 10 cm
C) 6 cm
D) 8 cm
Answer:
B) 10 cm
Step-by-step explanation: since DC scaled up to 10 cm and they were both originally 6cm, RU would be 10cm.
Find x if (3⋅5)⁴ ⋅ (2⋅3)⁵ ⋅ (2⋅5)⁷ = 2ˣ ⋅ 3ʸ ⋅ 5ᶻ
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A, B, and C. Not D.
Step-by-step explanation:
He wants all four colors to have equal share on the quilt which means each color needs to have 4 squares each to make up equal share of the quilt. D is the only one that doesn't follow this rule so it is the only one that is incorrect and would not work as a design.
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Answer:
answer is 52.5
Step-by-step explanation:
hope it helps
Which table represents a nonlinear function? pls hurry
Answer:
1st one
Step-by-step explanation:
Linear means straight and when you graph this one it is a straight line
Evaluate the following expression for m = 4.
4m + 2
please provide a step by step explanation (:
Answer:
6
Step-by-step explanation:
[tex]\sqrt{4}(4)[/tex] = [tex]\sqrt{16}[/tex]
[tex]\sqrt{16} =4[/tex]
[tex]4 + 2 = 6[/tex]
Answer:
C. 6
Step-by-step explanation:
[tex]\sqrt{4m}+2=\sqrt{4*4}+2=\sqrt{4^{2}} +2=4+2=6[/tex]