Answer: -6.
Step-by-step explanation: Given geometric series is-
[tex]-3,~-\dfrac{3}{2}, ~-\dfrac{3}{4}, ~-\dfrac{3}{8},~-\dfrac{3}{16},...[/tex]
Here, the first term of the series, [tex]a=-3[/tex]
and the common ratio, [tex]r=\dfrac{1}{2}.[/tex]
Since it is an infinite series, so sum is given by
[tex]S=\dfrac{a}{1-r}\\\\\\\Rightarrow S=\dfrac{-3}{1-\frac{1}{2}}\\\\\\\Rightarrow S=\dfrac{-6}{2-1}\\\\\\\Rightarrow S=-6.[/tex]
Thus, the sum of the series is -6.
Which equation represents a line that passes through the point (1,6) and is parallel to the line y = 5 - 3x?
Write 46/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats
Describe how to graph a line given an equation in standard form.
A recent poll of 380 randomly selected Americans showed that 24% ( = 0.24) are happy with their cell phone carriers. The country’s largest cell phone carrier would like to know, within a 90% confidence level, the margin of error for this poll. (90% confidence level z*-score of 1.645) Remember, the margin of error, E, can be determined using the formula E = z*. To the nearest tenth of a percent, the margin of error for the poll is %.
THE ANSWER IS 3.6% BECAUSE I JUST TOOK THE TEST AND GOT A 100%
Answer:
3.6%
Step-by-step explanation:
Given that A recent poll of 380 randomly selected Americans showed that 24% ( = 0.24) are happy with their cell phone carriers.
Sample size n =380
Sample proportion p = 0.24
q = 1-0.24 =0.76
Std error of p = [tex]\sqrt{\frac{pq}{n} } =0.0219[/tex]
Z critical value for 90% would be 1.645
Margin of error = ±1.645*std error
=±1.645(0.0219)
=±0.0361
i.e. in percent margin of error
3.61% = 3.6%
In which sentence is the appositive phrase punctuated correctly?
A.) Raul’s new car the color of a ripe tomato sat in the driveway.
B.) Raul’s new car the color of a ripe tomato, sat in the driveway.
C.) Raul’s new car, the color of a ripe tomato, sat in the driveway.
D.) Raul’s new car, the color of a ripe tomato sat in the driveway.
The sentence that is an appositive phrase punctuated correctly is "Raul’s new car, the color of a ripe tomato, sat in the driveway." Option C is correct.
Given that,
Four punctuated phrases are given we have to determine which one is appositive.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The sentence given in Options A, B. and D are not appositive.
Sentance Raul’s new car, the color of a ripe tomato, sat in the driveway is an appositive sentence because is differentiate the 3 string with 2 commas.
Thus, the sentence that is an appositive phrase punctuated correctly is "Raul’s new car, the color of a ripe tomato, sat in the driveway." Option C is correct.
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The center of the circle is A( -3,3) and B(1,6) is on the circle. Find the area of the circle in terms of pie
Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?Enter your answer in the box as a fraction in simplest form.
Answer: is 4/5
how i know because i did the quiz hope this helps
A rectangle has an area of 98 square inches. the length of the rectangle is double the width of the rectangle. find the dimensions of the rectangle
Find the greatest common factor of 8a^3b^2 and 12ab^4.
Find the slope m of the tangent to the curve y = 8 + 4x2 − 2x3 at the point where x =
a.
Final answer:
The slope m of the tangent to the curve y = 8 + 4x² - 2x³ at the point where x = a is found by taking the derivative of y with respect to x, which yields m = 8a - 6a².
Explanation:
To find the slope m of the tangent to the curve y = 8 + 4x² − 2x³ at the point where x = a, we first need to compute the derivative of the function y with respect to x. The derivative of a function at a particular point gives us the slope of the tangent line at that point.
The derivative of y with respect to x is given by:
dy/dx = d(8 + 4x² - 2x³)/dx = 8x - 6x²
To find the slope at x = a, we substitute a into the derivative:
m = 8a - 6a²
So, the slope of the tangent line at the point x = a on the given curve is m = 8a - 6a²
You are planning a restaurant. You will be open only for dinner and expect a steady flow of customers to your 20 tables. Assuming one party per table and an average check of $50 per party, how many times will you have to "turn" each table to make your revenue goal of $3000 per night? ("Turning" a table means seating a new party at it.) a) 1 b) 2 c) 3 d) 4
Answer:
C) 3
Step-by-step explanation:
I just did this math quiz on KM
1. Which of the following could be an example of a function with a domain (-∞, ∞) and a range (-∞, 2)?
A. y= -(0.25)^x-2
B. y= -(3)^x-2
C. y= -(0.25)^x+2
D. y= -(3)^x+2
Which number line represents the following statement?
A number is more than negative five.
charles sold his 350 shares of stock for $11.25 a share. when his broker issued him the check for his sale of the stock the amount of the check was $3868.59. how much was the rate of commission that his broker charged him for the transaction
Suppose that y varies inversely with x. Write an equation for the inverse variation. y = 4 when x = 6
The equation for the inverse variation is y = 24/x.
Explanation:In an inverse variation, the equation can be represented as y = k/x, where k is a constant. To find the equation for the given scenario, we can substitute the values of y = 4 and x = 6 into the equation and solve for k.
4 = k/6
Cross-multiplying, we get k = 24. Therefore, the equation for the inverse variation is y = 24/x.
The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false?
The ordered pair (−3,−6) is a solution for the first equation, and it is a solution for the second equation. Therefore, (−3,−6) is a solution to the system of equations. −4x+y=6
5x−y=21
true
or false
(−3,−6) is not a solution to the system of equations.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial vale of y (y intercept).
Given the system of equations −4x+y=6 and 5x−y=21.
At point (-3, -6), -4(-3) + (-6) = 6
Hence (-3, -6) is the solution to the first equation.
At point (-3, -6), 5(-3) - (-6) = -9 ≠ 6
Hence (-3, -6) is not a solution to the second equation.
Therefore (−3,−6) is not a solution to the system of equations.
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Rewrite the following alebraic expression using the distributive property.
-2a(a+b-5) + b(6a+b-8)
In △ABC , GE=27 in.
What is the length of BE¯¯¯¯¯
?
Answer:
BE = 81Step-by-step explanation:
From the graph we can see that point G is the barycentre of the triangle, because it's formed by the intersection of the three medians of the triangle, which are defined as segments from a vertex to the midpoint of the opposite side.
From the intersection of all triangle medians we have that:
[tex]BG=2GE[/tex]
[tex]CG=2GF[/tex]
[tex]AG=2GD[/tex]
Also, we know by hypothesis that [tex]GE=27[/tex]. Replacing this value:
[tex]BG=2GE[/tex]
[tex]BG=2(27)=54[/tex]
Then, by sum of segments, we have:
[tex]BE=BG+GE[/tex]
[tex]BE=54+27=81.[/tex]
Therefore, BE = 81.
The largest part of landfills is made up of newspapers. A 30.48 cm stack of newspapers weighs about 15.87 kg. How many meters of newspapers are stacked up?
The stack of newspapers is 0.3048 meters tall.
The student is asking how to convert the height of a stack of newspapers from centimeters to meters for a proper estimation of its volume in terms of the given weight. Since the question specifies a stack of newspapers that is 30.48 cm high and weighs 15.87 kg, we need to convert the height from centimeters to meters to find out how tall the stack is in meters.
To convert centimeters to meters, we divide the number of centimeters by 100, because there are 100 centimeters in a meter. Therefore:
30.48 cm / 100 = 0.3048 meters
So, the stack of newspapers is 0.3048 meters tall.
Estimate the product of the expression below to the nearest whole number.
16.77 x 3.81
68
48
64
51
i will give brianliest
Lars bought 3 jars of marbles. Each jar has 42 marbles, of which 13 are red. Lars can use the calculation below to find the total number of red marbles.
3×(13×42)
How can Lars simplify the calculation using only the associative property of multiplication?
a1/3 b 3 c 42 d (3×13) e (13×42)
Answer:
3 times 1/3
Step-by-step explanation:
A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed according to the rule R0, 180°. Which statements are true regarding the transformation? Check all that apply. The rule for the transformation is (x, y) → (–x, –y). The coordinates of L' are (–2,–2). The coordinates of M' are (–4,4). The coordinates of N' are (6,–1). The coordinates of N' are (–1,–6).
Transformation involves changing the coordinates of a shape
The true statements regarding the transformation are: (a), (b) and (e)
The transformation rule is given as: R0, 180°
This means 180 degrees rotation
A 180 degrees rotation is represented as: (x, y) → (–x, –y) --- option (a)
So, we have:
L'= (-2,-2) --- option (b)
M' = (-4,-4)
N = (-1,-6) -- option (e)
Hence, the true statements are: (a), (b) and (e)
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Consumer Math need help
Find the amount Social Security deducted: gross annual pay $45.397.
A- $1,736.44
B- $3,832.90
C- $4,327.90
D- $3,472.82
Clara earns at least $36.75 but not more than $98 working. She earns $12.25 per hour. The number of hours it takes Clara to earn p dollars is modeled by a function. t(p)=p12.25 What is the practical range of the function?
The range of the function modelling the number of hours it takes clara to earn p dollars is;
A set of all real numbers from 3 to 8
Minimum dollars she earns working; p_min = $36.75
Maximum dollars she earns working; p_max = $98
number of hours it takes her to earn p dollars is given by;
t(p) = p/12.25
Now, range of a function is a set of all possible output values.
Thus, t(36.75) = 36.75/12.25
t(36.75) = 3 hours
Similarly;
t(98) = 98/12.25
t(98) = 8 hours
Since minimum time is now 3 hours and maximum time is now 8 hours, then the range of the function is;
3 ≤ t ≤ 8 which is a set of all real numbers from 3 to 8
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Which ordered pair is the solution to the system of equations?
{y=x-4
{-4x+3y=-3
A.(0, −1)
B.(−9, −13)
C.(−6, −10)
D.(−6, 2)
Hope this helped...
MARK ME BRAINIEST PLEASE
Answer:
BPlease explain your answer thanks
The product of the roots of 5 - 2m - 3m2 = 0 is:
Use Vieta's formulas:
[tex]ax^2+bx+c=0\\\\x_1\cdot x_2=\dfrac{c}{a}[/tex]
[tex]x_1;x_2[/tex]-the roots
We have
[tex]5-2m-3m^2=0\to a=-3;\ b=-2;\ c=5[/tex]
put the values of c and a to the expression:
[tex]m_1\cdot m_2=\dfrac{5}{-3}=-\dfrac{5}{3}[/tex]
Answer:
-2/3
Step-by-step explanation:
WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the next 10 months. The extra cost paid by taking this deal is equivalent to what actual yearly rate of interest?
A. 36%
B. 63%
C. 33%
D. 3.6%
) Why is the price system a more efficient system for allocating scarce resources than by authoritarian means, such as in command economies?
Step-by-step explanation:
Lets look at each of the options one by one:
Price System: In this system markets allocate resources through the price mechanism. An increase in demand raises price and encourages businesses to use more resources into the production of that good or service. In this system the government limits itself to protecting property rights of people and businesses using the legal system and protecting the value of money or the value of a currency.
Authoritarian System: In this system it is associated with a communist system. The scarce resources are owned by the government. The state allocates resources, and sets production targets and growth rates according to its own view of people's wants. They have their own idea of demand.
By comparing two systems it can be seen that Price System automatically moves resources to where they are most needed. So, price system is more efficient than authoritarian means.
PLEASSEEE HELPPP
Daisy's friend calls her and asks her to meet at the park in exactly 40 minutes. Which method should Daisy use to most accurately determine when 40 minutes have passed?
A. Daisy should use a stopwatch with minutes and seconds.
B. Daisy should count the minutes in her head after she receives the call.
C. Daisy should use an hourglass and flip it over every time the sand runs out.
D. Daisy should look at a clock that shows hours and minutes only.