The first two terms of a geometric sequence are a1 = 1 and a2 = 3. Find a4, the fourth term of the sequence. Question 1 options: A) 81 B) 27 C) 243 D) 9
Answer:
B)
Step-by-step explanation:
Common ratio = a2/a1 = 3/1 = 3
[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]
Which sentence would be a good counter example to this statement ?
A line can exist in only one plane.
A. A line intersects one plane and the another.
B. A line is to one plane at a time.
C. A line that is Coplanar exists in more than one place.
D. A line is he intersection of two planes
Please help I need help with this
Answer:
The answer is "Option D".
Step-by-step explanation:
A line is a horizontal 1D-dimensional representation without any thickness and extends in every way. It sometimes is also known as the straight line. The line, which connects two planes lies simultaneously on both planes, that's why in this question only "option D" is correct.
Answer:
D>
Step-by-step explanation:
||x-5|+2|<=3
please help
Answer:
x e [-10,-4]
Step-by-step explanation:
||x-5|+2|≤3
|x+5+2|≤3
|x+7|≤3
x+7≤3
x≤-4
x+7≥-3
x≥-10
x e [-10,-4]
A local car dealer has 150 cars on the lot. 30% of the cars are sedans. How many of the cars are NOT sedans?
Answer:
105 cars
Step-by-step explanation:
150cars=100%
and if 30% of the cars are sedans then the cars which are not sedans is
100%-30% =70%
if 150 cars=100%
? cars=70%
if less more devides
70%/100%×150cars
all zeros cancel which would be left with
7× 15
105 cars.
Answer:
The answer is 105
So that 30% of those cars are 45 Sedans of the 150 cars.
Now we need to find out how many cars are in that remaining 70%
In order to do this we need to subtract 45 from 150
So 150 minus 45 is 105
Finally, we know that that remaining 70% is 105 cars that aren't Sedans.
So 105 cars are not Sedans.
this is khan academy and i need it fast thx
Answer:
C
Step-by-step explanation:
The angles are supplementary because all the angles add up to 180 and they form a straight line together.
What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp
Please help with this
Answer:
x = 6
Step-by-step explanation:
The scale factor is
28/8 = 7/2
We take the ratio of the larger side over the smaller side
Using ratios we can find the sides
28 21
----- = ---------
8 x
Using cross products
28x = 21*8
28x =168
Divide each side by 28
28x/28 = 168/28
x =6
Describe the cross section.
Answer: D. Square
The cross section is shown as the shaded region. There are four sides to the shaded figure, so the cross section is a quadrilateral. This rules out choice C. We can also cross choice B off the list because cross sections of 3D figures are 2 dimensional.
Choice A is ruled out as well because we have both pairs of opposite sides that are parallel. The only thing left is choice D. This is true assuming we have a square prism. Any cube is a square prism that has its height equal to the width and length.
If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem
you could download 2 more songs.
X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song
1. Using the figure below, what is the measure of angle ABE?
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
please mark me brainliest :)
Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)
Answer:
w = - 5, w = - 3
Step-by-step explanation:
Given
w² + 8w + 15 = 0
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)
The factors are + 5 and + 3 , since
5 × 3 = 15 and 5 + 3 = 8 , thus
(w + 5)(w + 3) = 0 ← in factored form
Equate each factor to zero and solve for w
w + 5 = 0 ⇒ w = - 5
w + 3 = 0 ⇒ w = - 3
there are 18 animals in a pet store some are birds and others are dogs. there are 50 legs in total. how many dogs are there
Answer:
I believe the answer will be 36 for the dog legs.
Step-by-step explanation:
first you get a calculator
then you type in 18 divided by 50
then you hit enter
then the answer will come up as 0.36
Does (3, 3) make the equation y = x true?
Answer:
yes
Step-by-step explanation:
Substitute the points into the equation
y =x
3=3
This is true so (3,3) is a solution
Find x in the given figure if m∠AOC = 130°. Question 7 options: A) –14 B) 8 C) 10.5 D) 14
Answer:
B) x=8
Step-by-step explanation:
To solve, we must find x like so:
We know that angle AOC = 130, so adding AOB and BOC will equal 130, then we solve for x.
[tex](6x-5)+(8x+23)=130\\6x-5+8x+23=130\\14x+18=130\\14x=130-18\\14x=112\\x=\frac{112}{14}\\x=8[/tex]
Which type of line is shown below
Type of lines ? Not the best question.
Answer: Perpendicular, first choice
The little 90 degree angle indicator at the intersection marks these lines as meeting at a right angle, which is called perpendicular.
help me i’m in need
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
The ratio of the measurement of an angle to its supplement is 3:5. Find the measurement of the angle and its supplement.
-7th grade math
Answer:
The measurements of the two angles are 67.5° and 112.5°
Step-by-step explanation:
We can set up the equation just like a normal equation when you are finding x. Once we know what x is, then we can use that number and multiply it to 3 and 5 to find the measurements of the angles.
3x + 5x = 180
Combine like terms.
8x = 180
Divide 180 by 8.
x = 22.5
Now, we plug in x to 3 and 5.
3 * 22.5 = 67.5
5 * 22.5 = 112.5
Just to make sure our work is correct, let's add these numbers together.
67.5 + 112.5 = 180
The measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
What is supplementary angle?When the sum of the two angle are equal to the 180 degrees, then these angles are called the supplementary angle of each other.
The ratio of the measurement of an angle to its supplement is 3:5. Let, the ratio,
[tex]\dfrac{3}{5}=x[/tex]
As, these angles are supplementary to each other. Thus,
[tex]3x+5x=180\\8x=180\\\x=\dfrac{180}{8}\\x=22.5[/tex]
Thus, the measurement of the angle is,
[tex]3x=3\times22.5\\3x=67.5[/tex]
The measurement of the supplement of the angle is,
[tex]5x=5\times22.5\\5x=112.5^o[/tex]
Hence, the measurement of the angle is 67.5 degrees and the measurement of the supplement of the angle is 112.5 degrees.
Learn more about the supplementary angle here;
https://brainly.com/question/12919120
determine the value of x in the diagram with explanation plz
HURRY HELP PLEASE THANKS
Solve the equation. Don't forget to first simplify each side of the equation, if possible. Check each solution.
[tex]\frac{2}{3}x+1=-\frac{1}{3}x+9[/tex]
Answer:
x = 8
Step-by-step explanation:
Add [tex]\frac{1}{3}x[/tex] to both sides.
x + 1 = 9
Subtract one on both sides.
x = 8
Answer:
x = 8
Step-by-step explanation:
2/3x + 1 = -1/3x + 9
x + 1 = 9
x = 8
Rewrite using a negative exponent.
1/a ^4
Answer: a^-4
Step-by-step explanation:
[tex]\frac{1-4}{a^4-4}[/tex] = a^-4
(06.02 LC)
Simplify (3x - 5) - (5x + 1).
0-2x + 6
0-2x - 6
O 2x - 6
O 2x + 6
Answer:
-2x-6
Step-by-step explanation:
Look at the attachment
Use the given diagram to answer the question.
Which line is the intersection of wo of the planes
shown
Which line intersects one of the planets
Tatou
Which line has points on three of the planes shown?
Answer:
Step-by-step explanation:
1)
Lines X and W intersect 2 planes, while line Y intersects 3 and linen Z and V intersect one plane,
So, answer is lines X and W (don't know about Y, since it intersects more than two planes)
2) Lines Z and V intersect only one of the planes (the other lines intersect more than one, so don't know about them)
3) Line Y has points in all three planes (the rest have in either 2 or one planes)
The line which is the intersection of wo of the planes shown is.
1) Lines X and W intersect 2 planes, while line Y intersects 3, and lines Z and V intersect one plane,
So, the answer is lines X and W (don't know about Y, since it intersects more than two planes)
The line which intersects one of the planets Tatou is.
2) Lines Z and V intersect only one of the planes (the other lines intersect more than once, so don't know about them)
The line which has points on three of the planes shown is.
3) Line Y has points in all three planes (the rest have in either 2 or one plane)
What are the basics of geometry?Basic geometric concepts are based on three basic concepts. They are a point, a line, and a plane. We cannot specify the terms. However, it does refer to a position mark and has a precise location.
Learn more about Geometry at https://brainly.com/question/20303542
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A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities. [4×5 marks] A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities.
a) Exactly 2 are defectives.
b) None is defective.
c) All are defective.
d) At least 1 is defective.
Answer:
a) 10.73%
b) 45.60%
c) 0.0094%
d) 54.4%
Step-by-step explanation:
The probability of one transistor being defective is equal the number of defective transistors over the total number of transistors
a)
The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. The probability of the third one being not defective is 20/22, and the fourth one not being defective is 19/21. We also multiply the final probability by a combination of 4 choose 2, because the defective transistors can be any 2 of the group of 4:
C(4,2) = 4! / (2! * 2!) = 6
P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%
b)
Similar to the letter a), we have:
First one not defective: P = 20/24
Second one not defective: P = 19/23
Third one not defective: P = 18/22
Fourth one not defective: P = 17/21
P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%
c)
First one defective: P = 4/24
Second one defective: P = 3/23
Third one defective: P = 2/22
Fourth one defective: P = 1/21
P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%
d)
If we want at least 1 defective, we just need to subtract 100% from the case where all 4 are not defective:
P = 1 - 0.4560 = 0.5440 = 54.4%
In this exercise we have to use the knowledge of probability to calculate each of the requested probabilities, so we can say that:
a) [tex]10.73\%[/tex]
b) [tex]45.60\%[/tex]
c) [tex]0.0094\%[/tex]
d) [tex]54.4\%[/tex]
a)The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. So the combination will be:
[tex]C(4,2) = 4! / (2! * 2!) = 6\\P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%[/tex]
b)So find the not defective, we have:
First one: P = 20/24 Second one: P = 19/23 Third one: P = 18/22 Fourth one: P = 17/21
[tex]P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%[/tex]
c)So find the defective, we have:
First one: P = 4/24 Second one: P = 3/23 Third one: P = 2/22 Fourth one: P = 1/21
[tex]P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%[/tex]
d)We just need to subtract 100% from the case where all 4 are not defective:
[tex]P = 1 - 0.4560 = 0.5440 = 54.4%[/tex]
See more about probability at brainly.com/question/743546
Which transformation does not match blue figure to the red flag
Answer:
the second one trust me
Step-by-step explanation:
- Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make
2 of each size hamburger, how many packages of meat will she need to buy?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The Whispering Lakes Neighborhood Association is having a hamburger cookout. Each family can choose whether to order the hamburgers or bring their own. Use the information in the table to solve the number stories. Use drawings, tables, or equations to show what you did.
Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make 2 of each size hamburger, how many packages of meat will she need to buy?
Answer:
The number of meat packages is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
Step-by-step explanation:
Please refer to the attached table where we are given size of hamburgers and the weight of corresponding hamburger patty in pounds.
small = 1/8 lb
medium = 1/4 lb
large = 1/2 lb
jumbo = 3/4 lb
king of burgers = 1 1/2 lb = 3/2 lb
To make 1 of each hamburger we need
Total weight of patty = 1/8 + 1/4 + 1/2 + 3/4 + 3/2
Total weight of patty = 25/8 = 3.125 lb
But she needs to make 2 of each size hamburger so,
Total weight of patty = (25/8)×2 = 25/4 = 6.25 lb
Mrs. Ward found 80-ounce packages of hamburger on sale
first we have to convert pounds into ounces
We know that 1 pound has 16 ounces
6.25×16 = 100 ounces
So the number of meat packages required is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
Five of Teddy’s six cousins can
do 15 push-ups in one set. Which
decimal is equivalent to the fraction
of Teddy’s cousins who can do
15 push-ups?
Answer: 0.83
Step-by-step explanation:
The fraction of Teddy's cousins what can do push-ups is [tex]\frac{5}{6}[/tex]. We get this fraction because the problem states that 5 of Teddy's 6 cousins can do 15 push-ups. Now that we have our fraction, we divide to get our decimal.
[tex]\frac{5}{6} =0.83[/tex]
Answer:
0.83 with the 3 as the repeating number (3 with the line over it)
Step-by-step explanation:
5 divided by 6
The circumference of the earth is given.
What is the diameter of earth? Round your answer to the nearest tenth. Use 3.14 for π.
Enter your answer in the box below.
____miles
Answer:
Diameter of the earth is 7930.25 miles
Step-by-step explanation:
To find the diameter of the earth, we will follow the steps below:
first write the formula of the circumference
c = 2πr ---------------------------------------------------------------------------------------------(1)
where r is the radius and c is the circumference
from the diagram below, circumference is given to be 24901 miles
π = 3.14
substitute the value of c and π into equation (1) and solve for r
c = 2πr
24901 = 2 × 3.14× r
24901 = 6.28 r
Divide both-side pf the equation by 6.28
24901/6.28 = 6.28 r/6.28
3965.1274≈ r to the nearest tenth
r≈ 3965.1274 miles
But diameter = 2r
diameter = 2 × 3965.1274
diameter ≈ 7930.25 to the nearest tenth
Diameter of the earth is 7930.25 miles
Answer:
7930.3milesStep-by-step explanation:
The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.
C = πd
Given C = 24, 901miles and π = 3.14, on substituting,
24, 901 = 3.14d
d = 24,901/3.14
d = 7930.255
d ≈ 7930.3miles to the nearest tenth
what is the square root of 345 to the 9th power
Answer:
[tex](\sqrt[2]{32})^{9}[/tex]=5931641.60152
Step-by-step explanation:
:)
Solve the following equations using algebraic operations ( 4x-1=2x+11)
Answer:
x = 6
Step-by-step explanation:
4x-1=2x+11
Subtract 2x from each side
4x-2x-1=2x-2x+11
2x-1 =11
Add 1 to each side
2x-1+1 = 11+1
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Does the point (4, 0) satisfy the equation y = –5x + 4?
Answer:
no
Step-by-step explanation:
y = –5x + 4
Substitute the point into the equation
0 = -5(4) +4
0 = -20+4
0 = -16
This is not true so it is not a solution to the equation
