Answer:
only A. and E.
Step-by-step explanation:
The answer would be option(A) and (E) are show a geometric series.
A. 2 + 3 + 4.5 + 6.75 + …
E. 8 + 4 + 2 + 1 + …
What is a Geometric Series?Geometric sequence or series is defined as a sequence of numbers such that the next term is either increasing or decreasing by a specific ratio referred to as a geometric sequence.
The standard equation for geometric series as:
Tₙ = a₁ rⁿ⁻¹
where a₁ is the first term and r is the common ratio.
A. 2 + 3 + 4.5 + 6.75 + …
Here, first term a₁ = 2 ,
The common ratio r = 3/2 = 4.5/3 = 6.75/4.5 = 1.5
So, this is a geometric series.
E. 8 + 4 + 2 + 1 + …
Here, first term a₁ = 8 ,
The common ratio r = 4/8 = 2/4 = 1/2 = 0.5
So, this is a geometric series.
Hence, the option(A) and (E) are show a geometric series.
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A wooden peg game in the shape of a triangular prism is 2 inches tall. The triangle has a base of 12 inches and a height of 9 inches. Find the volume of the game.
The volume of the wooden peg game in the shape of a triangular prism is calculated by finding the area of the triangular base and multiplying by the prism's height. The area of the triangle is 54 square inches, and the volume of the game is 108 cubic inches.
To find the volume of the wooden peg game, we will use the formula for the volume of a prism, which is the area of the base times the height of the prism. The base of the prism is a triangle, so first, we need to find the area of the triangular base. The area of a triangle is calculated by multiplying the base by the height and then dividing by 2.
First, we calculate the area of the triangle base:
Area of triangle base = (Base of triangle x Height of triangle) / 2Area of triangle base = (12 inches x 9 inches) / 2Area of triangle base = 108 inches² / 2Area of triangle base = 54 inches²Next, we multiply the area of the base by the height of the prism to find the volume:
Volume of prism = Area of base x Height of prismVolume of prism = 54 inches² x 2 inchesVolume of prism = 108 inches³Therefore, the volume of the wooden peg game is 108 cubic inches.
Josh has scores of 16,19 and 23 on three quizzes what score must he get on the next quiz to have an average of at least 20?
can you help with this question
ANYONE???
The meteorologist recorded the amount of rainfall, in centimeters, at 10 different locations during 1 day and then arranged the amounts from smallest to largest.
The amounts were 2, 2, 2, 2, 3, 3, 3, 4, 4, and 5 cm. The mean of these measurements is 3 cm.
What is the mean absolute deviation? 0.0 cm 0.8 cm 1.0 cm 2.5 cm
whats 5 plus 4 ..........
system of equations
y=2x-3
x+y=18
You paint a border around the top of the walls in your room. What angle does x need to be to repeat the pattern?
To repeat the pattern, the angle of x needs to be 360 degrees divided by the number of times the pattern is repeated.
Explanation:To repeat the pattern of the border around the top of the walls in your room, the angle of x needs to be 360 degrees divided by the number of times the pattern is repeated. For example, if the pattern is repeated 4 times around the room, the angle x would be 360 degrees divided by 4, which is 90 degrees.
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Simplify:(picture)
and can you please show your work so that i can understand how to do it myself? Thank you
Delilah does 184184184 jumping jacks in 444 minutes. She does her jumping jacks at a constant rate. How many jumping jacks can Delilah do per minute?
Answer:
46 jumps per minute.
Step-by-step explanation:
We have been given that Delilah does 184 jumping jacks in 4 minutes.
Since Delilah is jumping jacks at a constant rate, so the number of jumps per minute would be 184 divided by 4.
[tex]\text{Number of jumps per minute}=\frac{\text{184 jumps}}{\text{4 minutes}}[/tex]
[tex]\text{Number of jumps per minute}=\frac{\text{46 jumps}}{\text{minute}}[/tex]
Therefore, Delilah is jumping at a rate of 46 jumps per minute.
Find the value of x.
Answer: The required value of x is 64.
Step-by-step explanation: We are given to find the value of x from the figure.
From the figure, we see a right-angled triangle in which an acute angle has measurement x°.
And, for the angle with measurement x°, the base has a length of 3.0 units and hypotenuse has a length of 6.8 units.
Therefore, the cosine of that angle will be
[tex]\cos x^\circ=\dfrac{base}{hypotenuse}\\\\\\\Rightarrow \cos x^\circ=\dfrac{3.0}{6.8}\\\\\\\Rightarrow \cos x^\circ=0.4411\\\\\Rightarrow x^\circ=\cos^{-1}(0.4411)\\\\\Rightarrow x^\circ=63.83^\circ\\\\\Rightarrow x=63.83.[/tex]
So, to the nearest whole number, we get
x = 64.
Thus, the required value of x is 64.
Which statement is true about two angles that are complementary?
A. The angles share a common ray.
B. The sum of the measures of the two angles is 90°.
C. The angles are opposite each other.
D. The sum of the measures of the two angles is 180°.
ITS B!!!
Answer:
Step-by-step explanation:
the answer is b hope this helps
what is the area of a circle with a circumference of 12pi?
The area of the circle for the given circumference is 36π square units.
What is a circle?Every point in the plane of a circle, which is a closed, two-dimensional object, is evenly separated from the center. All lines that cross the circle join together to produce the line of reflection symmetry. Every angle also possesses rotational symmetry about the center.
Given circumference of circle = 12π
the circumference is given by 2πr
where r is the radius,
2πr = 12π
2r = 12
r = 6 units
and the area of a circle is πr²
A = πr² = π(6²)
A = 36π square units
Hence the area of circle is 36π square units.
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The area of the circle with circumference [tex]\( 12\pi \)[/tex] is [tex]\( \boxed{36\pi} \)[/tex] square units.
To find the area of a circle when given its circumference, we start by using the formula relating circumference ([tex]\( C \)[/tex]) and radius ([tex]\( r \)[/tex]):
[tex]\[ C = 2\pi r \][/tex]
Given that the circumference [tex]\( C \)[/tex] is [tex]\( 12\pi \)[/tex], we set up the equation:
[tex]\[ 12\pi = 2\pi r \][/tex]
Next, solve for [tex]\( r \)[/tex] by dividing both sides by [tex]\( 2\pi \)[/tex]:
[tex]\[ r = \frac{12\pi}{2\pi} \][/tex]
[tex]\[ r = 6 \][/tex]
Now that we have found the radius [tex]\( r = 6 \)[/tex], we can find the area ([tex]\( A \)[/tex]) of the circle using the formula for the area of a circle:
[tex]\[ A = \pi r^2 \][/tex]
Substitute [tex]\( r = 6 \)[/tex]:
[tex]\[ A = \pi \cdot (6)^2 \][/tex]
[tex]\[ A = \pi \cdot 36 \][/tex]
[tex]\[ A = 36\pi \][/tex]
Therefore, the area of the circle with a circumference of [tex]\( 12\pi \)[/tex] is [tex]\( \boxed{36\pi} \)[/tex].
Luna ray has 5 orange picks and no green picks you add some green picks so 1 in every 3 picks is orange how many picks are there now
simplify4xy-2x+4x-8xy
what is the height of a building in meters if it takes a rock 3.8 seconds to drop from its roof
Final answer:
Using the formula for the distance fallen under gravity, the height of the building is found to be approximately 70.856 meters, given a drop time of 3.8 seconds.
Explanation:
The question asks, "What is the height of a building in meters if it takes a rock 3.8 seconds to drop from its roof?" To solve this, we'll use the physics formula for the distance (height) fallen by an object under gravity, which is given by d = ½ gt², where d is the distance in meters, g is the acceleration due to gravity (approximately 9.8 m/s²), and t is the time in seconds.
Substituting the given values into the equation, we have:
d = ½ × 9.8 m/s² × (3.8 s)²
= ½ × 9.8 × 14.44
= 70.856 meters
Therefore, the height of the building is approximately 70.856 meters.
What is the formula for a circle that has a center at (-1,4) and goes through the point (-4,0)?
suppose linda had 2/3 of a yard of fabric and told Sandra that she used 3/4 of a yard. Sandra says this is not possible. Do you agree? Explain the answer
simplify the expression. Write your answer using only positive exponents:7^6 x 7 x 7^-4
To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base.
Explanation:To simplify the expression 7^6 x 7 x 7^-4 using positive exponents, we can apply the rule of multiplying powers with the same base. First, let's simplify 7^6 x 7. This can be rewritten as 7^(6+1) or 7^7. Next, let's simplify 7^7 x 7^-4. Applying the rule of multiplying powers with the same base, we get 7^(7-4) or 7^3. Therefore, the simplified expression is 7^3.
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what is the value of g divide by 4,if g=20?
a.4
b.5
c.6
d.7
A lab technician worked 48 3/4 hours over a six day period. If she worked the same number of hours each day, how many hours did she work each day?
(The answer I have marked was random) Please tell me the answer and explain. Thanks.
The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country. If the confidence level for both surveys is 95% (z*-value 1.96), then which statement is true? The margin of error for the Camp Verde survey will be the size of the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be three times greater than the margin of error for the Gilbert survey. The margin of error for the Camp Verde survey will be between one and three times as great as the margin of error for the Gilbert survey. Mark this and return
Answer:
The margin of error for the Camp Verde survey will be between one and three times as great as the margin of error for the Gilbert survey.
Step-by-step explanation:
The statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
What is margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
[tex]MOE_\gamma=z_{\gamma}\dfrac{\sigma ^2}{n}[/tex]
Here, γ is the confidence interval, σ is standard deviation and n is the sample.
The mayor of Gilbert, AZ, randomly selects 300 of its residents for a survey while the mayor of Camp Verde, AZ, randomly selects 100 of its residents and asks them the same question. Thus,
[tex]n_1=300\\n_2=100[/tex]
Both surveys show that 15% of the residents of each town want Arizona to start using daylight savings like most of the rest of the country.
The confidence level for both surveys is 95% (z*-value 1.96). Thus, comparing the MOE of both the data as,
[tex]\dfrac{MOE_2}{MOE_1}=\dfrac{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_2}}}{z_{\gamma}\sqrt{\dfrac{\sigma ^2}{n_1}}}\\\\\dfrac{MOE_2}{MOE_1}=\dfrac{\sqrt{\dfrac{1}{100}}}{\sqrt{\dfrac{1}{300}}}\\\dfrac{MOE_2}{MOE_1}=1.73[/tex]
Thus, the statement which is true, the margin of error for the Camp Verde survey will be between and the size of the margin of error for the Gilbert survey.
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Match the system of the equation to the correct description of its solutions
10x + 4y = 6
10x - 3y = 7
1. Single Solution
2. No Solution
3. Infinite Solution
The sum of three numbers is 78. the second number is two times greater than the first. the third number is 12 more than the first...... find each number
the following data are the numbers of customers at a coffee shop over a 10 day period 135,124,140,122,409,132,119,128,136,125 which measure of center best represents the daily average of customers at the coffee shop?
The measure of center that best represents the daily average of customers at the coffee shop is the mean, which is calculated by summing up all the numbers and dividing by the total count.
Explanation:To find the measure of center that best represents the daily average of customers at the coffee shop, we can calculate the mean, median, and mode of the given data set. The mean is the sum of all the numbers divided by the total count, the median is the middle value when the numbers are arranged in increasing order, and the mode is the number that appears most frequently.
Mean: Add up all the numbers and divide by the total count: (135+124+140+122+409+132+119+128+136+125)/10 = 157.
Median: Arrange the numbers in increasing order: 119, 122, 124, 125, 128, 132, 135, 136, 140, 409. The middle value is the median, which is 132.Mode: The number 122 appears twice, which is more frequent than any other number. Therefore, the mode is 122.Based on these calculations, we can conclude that the measure of center that best represents the daily average of customers at the coffee shop is the mean since it takes into account all the values in the data set.
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A ___ expense is a cost that may happen each month, but one who's total amount may change from month to month. A) fixed B) variable C) flexible D) discretionary
Answer:
B. Variable
Step-by-step explanation:
A Variable expense is a type of expense that may vary from month to month. This type of expense includes things like electricity, groceries, clothing, and gas. When it comes to the groceries, it is considered to be a variable expense only if the household need the items that are purchased.
Answer:
B) variable
A variable expense is a cost that may happen each month, but one who's total amount may change from month to month.
If 21% of the customers in a restaurant order fish, what is the probability that the next 3 costumers in a row will order fish?
19.6x24 i am confusion
The formula for the area of a trapezoid is A = h(b1 + b2), where A = area, h = height, b1 = base 1, and b2 = base 2. For a trapezoid with a height of 7 centimeters and base lengths of 6 centimeters and 10 centimeters, the area is square centimeters
A satellite is to be put into an elliptical orbit around a moon. A vertical ellipse is shown surrounding a spherical object labeled moon The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km.
Answer:
The equation of the ellipse is :
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Step-by-step explanation:
Formula for the equation of an ellipse is given by :
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
where a and b are the horizontal and vertical intercepts of the ellipse on the coordinate axis.
Here, a = 959 + 357
= 1316
And, b = 959 + 710
= 1669
So, the equation of the ellipse is :
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]