Answer: 23
Step-by-step explanation:
The first term is 0.5 and the common difference is 0.4.
Using the sum of an arithmetic series formula,
[tex]S_{10}=\frac{10}{2}[2(0.5)+(10-1)(0.4)]=\boxed{23}[/tex]
Volume and surface area
By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.
How to determine the volume of a composite figure
The volume of the composite figure is the sum of the volumes of the two figures: (i) a cone, (ii) a hemisphere. The volume formula of the figure is shown below:
[tex]V = \frac{2\pi}{3} \cdot r^{3} + \frac{\pi}{3}\cdot r^{2}\cdot h[/tex]
If we know that r = 5.3 cm and h = 8.4 cm, then the volume of the composite figure is:
V = (2π/3) · (5.3 cm)³ + (π/3) · (5.3 cm)² · (8.4 cm)
V ≈ 558.900 cm³
By applying the volume formulae for composite figures, cones and hemispheres, we obtain that the volume is approximately equal to 558.9 cubic centimeters.
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What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 96 words per minute
Using the normal distribution, it is found that there is a 0.1029 = 10.29% probability that the sample mean is above 96.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Researching the problem on the internet, the parameters are given as follows:
[tex]\mu = 92, \sigma = 10, n = 10, s = \frac{10}{\sqrt{10}} = 3.1623[/tex]
The probability that the sample mean is above 96 is one subtracted by the p-value of Z when X = 96, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{96 - 92}{3.1623}[/tex]
Z = 1.265
Z = 1.265 has a p-value of 0.8971.
1 - 0.8971 = 0.1029 = 10.29% probability that the sample mean is above 96.
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Longhorn Corporation provides low-cost food delivery services to senior citizens. At the end of the year on December 31, 2021, the company reports the following amounts:
Cash $ 1,300 Service revenue $ 65,700
Equipment 27,000 Cost of goods sold (food expense) 53,000
Accounts payable 4,000 Buildings 36,000
Delivery expense 2,200 Supplies 3,000
Salaries expense 5,100 Salaries payable 900
In addition, the company had common stock of $36,000 at the beginning of the year and issued an additional $3,600 during the year. The company also had retained earnings of $17,400 at the beginning of the year.
Prepare the statement of stockholders’ equity for Longhorn Corporation.
The statement of stockholders’ equity for Longhorn Corporation is: $62,800
Statement of stockholders’ equity
Common stock Retained earning Total stakeholder equity
Beginning balance $36,000 $17,400 $53,400
Issuance of common stock $4,000 - $4,000
Add net income - $5,400 $5,400
[65,700-(53,000+2,200+5,100)]
Ending balance $40,000 $22,800 $62,800
Therefore the statement of stockholders’ equity for Longhorn Corporation is: $62,800.
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Assuming you are a business owner with different shareholders. How may zero growth stock valuation and constant stock valuation affect your business operations?
The ways that zero growth stock valuation can affect business operations is that:
When zero-growth model states that the dividend is at the same rate, it shows that one has no measure of growth in terms of dividends. This therefore shows that stock price is equal to the annual dividends and divided also by the needed rate of return.What ways does constant stock valuation affect business operations?The Constant stock valuation is known to be a kind of share evaluation as it states that the dividends paid by a firm will consistently increase at a constant growth rate.
This will help one to know especially investors on how to set or know the fair price that one needs to pay for a stock on daily basis today by due to future dividend payments.
The overall statement is that stock value affect one's business operations as the company's stock price is one that shows an investor perception of their capability to get profit and also if they can grow their profits in terms of future times.
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Write the equation of a sine or cosine function to describe the graph.
Step-by-step explanation:
The equation of a trigonometric function is
[tex]y = a \sin(bx + c) + d[/tex]
or
[tex]y = a \: cos(bx + c) + d[/tex]
Let define some variables,
D is the midline, this refers to the midpoint of the highest y value and lowest y value. Some textbooks call it the vertical translations but it is the same thing.
A is the amplitude. The amplitude is the distance from the midline to the highest y value. Some distance is non negative, the formula for the amplitude is
[tex] |a| [/tex]
The period is how often the wave repeats itself on a interval.
Period can't be negative so the formula for period is
[tex] \frac{2 \pi}{ |b| } [/tex]
To find the period, look at the extreme points.
The phase shift tells us if the sinusoid have been shifted to the right or left. The formula for the phase shift
[tex]bx + c = 0[/tex]
Solving for x gives us
[tex]x = \frac{ - c}{b} [/tex]
If our x is negative, we have a phase shift to the right
If our x is Positve, we have a phase shift to the left.
Let solve this equation, Let use Sine since sin(0)=0,
The smallest y value here is 0, and the highest is 2, so the amplitude is 1.
[tex]d = 1[/tex]
Next, the distance from the max to the midline is 1, as well the min to the midline is also 1.
So
[tex]a = 1[/tex]
We have minimum at 0, and 8, so our period is 8.
[tex] \frac{2\pi}{b} = 8[/tex]
Solve for b,
[tex] \frac{\pi}{4} = b[/tex]
Plug this in the equation.
[tex]1 \sin( \frac{\pi}{4} x) + [/tex]
[tex]y = \sin( \frac{\pi}{4} x) + 1[/tex]
The graph passes through (4,2) so let see if that holds true for our equation
[tex]2 = \sin( \frac{\pi}{4} (4)) + 1[/tex]
[tex]2 = \sin(\pi) + 1[/tex]
[tex]2 = 0 + 1[/tex]
[tex]2 = 1[/tex]
This doesn't hold true, so we must have a phase shift
Notice that
[tex] \sin( \frac{\pi}{2} ) = 1[/tex]
So if we shift this pi/2 to the right, we can get our equation to be true.
[tex]y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1[/tex]
This equation works so our equation is
[tex]y = \sin( \frac{\pi}{4} x - \frac{\pi}{2} ) + 1[/tex]
GIVING BRAINLIEST TO THE FIRST PERSON WHO CAN SOLVE THESE QUESTIONS. :)
Answer:
1) y = 2(x+3)^2 -4
2) x+6/x-4
3) 2x^2 + 6x +20 = 0
Step-by-step explanation:
65 people took a clarinet exam. Before the exam, 23 people predicted that they would pass, and the rest predicted they would fail. Of the people who predicted they would pass, 18 actually did. In total, 31 people passed the clarinet exam. What fraction of those who thought that they would fail actually did fail?
Answer:
The answer is 29/42
Step-by-step explanation:
First, let's calculate how many people predicted they would fail. The question states that 65 people took the exam and 23 predicted they would pass, so we can find the number of people that predicted they would fail by the following calculation:
Let FP be the people who predicted they'd fail
65 = 23 + FP
65 - 23 = FP
42 = FP
Now, let's move on to the next part. The question states that a total of 31 people passed the test, from those 18 being the people who predicted they would pass and the rest are people who had predicted they would fail but ended up passing.
Let's set x as the number of people who predicted they would fail but have passed.
31 = 18 + x
31 - 18 = x
13 = x
Since 13 of the 42 FP have passed, we can calculate how many of them failed. Let y be the number of people that predicted to fail and ended up failing:
13 + y = 42
y = 42 - 13
y = 29
Finally, now we have the fraction of those who predicted that they would fail actually did fail and that's 29/42
Longhorn Corporation provides low-cost food delivery services to senior citizens. At the end of the year on December 31, 2021, the company reports the following amounts:
Cash $ 1,300 Service revenue $ 65,700
Equipment 27,000 Cost of goods sold (food expense) 53,000
Accounts payable 4,000 Buildings 36,000
Delivery expense 2,200 Supplies 3,000
Salaries expense 5,100 Salaries payable 900
In addition, the company had common stock of $36,000 at the beginning of the year and issued an additional $3,600 during the year. The company also had retained earnings of $17,400 at the beginning of the year.
Required:
Prepare the income statement for Longhorn Corporation.
The preparation of the income statement for Longhorn Corporation for the year ended December 31, 2021, is as follows:
Longhorn Corporation
Income StatementFor the year ended December 31, 2021
Service revenue $ 65,700
Cost of goods sold (food expense) 53,000
Gross profit $12,700
Delivery expense $2,200
Salaries expense 5,100 $7,300
Net Income $5,400
What is the income statement?The income statement also called income summary is a financial statement that shows the financial performance of a business for a defined financial period.
Thus, from the income statement, the net income and the gross profit, which represent the gains achieved by the entity, are derived.
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Whats the correct answer answer asap for brainlist
How much interest will Brian earn on $875 in his savings account after 3 months if the annual interest rate is 5.5%?
The interest that Brain would receive is $12.03.
How much interest would Brain receive?The interest received is a function of the amount saved, interest time and the length of time the money was saved.
Interest = amount saved x number of months x (annual interest rate / 12)
$875 x 3 x (0.055 / 12) = $12.03
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Can you help me I need to send this to my teacher like TODAY
A: Three collinear points are A, T, and B
B: Line BA is another name for line AB
C: Line L is in plane Z
D: line AB is the intersection of planes Z and W
Please help! The graph of a linear function passes through the points (-2,-5) and (1,-3).
Find the slope of this function.
Answer:
m=2/3
Step-by-step explanation:
[tex]m=\dfrac{\delta y}{\delta x} \\\\=\dfrac{-5-(-3)}{(-2)-1}\\ \\\dfrac{2}{3}[/tex]
Please help with these 2 questions. I got 73.0 for question 12
The height of the tower based on the angle of elevation given is
How to calculate the height?From the information given, the tower is 45m, the clinometer is set at 1.3m above the ground, and the angle of elevation is 32°.
This can be illustrated as:
tan 32° = (45 - 1.3)/x
tan 32° = 43.7/x
x = 43.7/tan 32°
x = 69.93m.
Also, for triangle ACD,
tan 47° = (43.7 + y)/x
x × tan 47° = 43.7 + y
74.49 = 43.7 + y
y = 31.29
The height of the tower will be:
= 43.7 + 31.29
= 74.99m
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Evaluate.
—4 1/2+3(6.4+3/4)
Answer:
16.95
Step-by-step explanation:
use a calculator
The graph of f(x)=x2 is shown. Use the parabola tool to graph the function g(x)=(15x)2 . To graph a parabola, first plot the vertex then plot another point on the parabola
The graph of the parabola can be seen in the image below.
How to plot the parabola?Here we have the function:
g(x) = (15x)^2
Notice that this is a contraction of scale factor 15 of the function f(x) = x^2
To graph this, we can just evaluate the function in 3 points, the vertex and two other ones.
for x = 0.
g(0) = (15*0)^2 = 0
So we have the point (0, 0).
Evaluating in x = 1 and x = -1 (give the same value) we get:
g(±1) = (±15)^2 = 225
So we have the points (1, 225) and (-1, 225).
Now we can just connect these 3 points with a parabola. The graph can be seen below.
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please help me i don’t get it will send extra points
The value is 1/2
What is fraction?A fraction represents a part of a whole or, more generally, any number of equal parts.
Given:
(5 +(2-1.5)/1*(2))/12
=(5+ 0.5*2)/12
=(5+1)/12
=6/12
=1/2
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In the year 1985, a house was valued at $106,000. By the year 2005, the value had appreciated to $146,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010?
The value of the house in the year 2010 is 150056.47.
What is growth rate?The growth rate of a value (GDP, turnover, wages, etc.) measures its change from one period to another (month, quarter, year)
Value
v(t) = V0 ( 1 + r)^t
let V0 = 106, v(20) = 146
So,
146 = 110(1 + r )^20
146/110 = (1 + r )^20
1.327 = (1 + r )^20
1+ r = 1.014
r= 0.014
So, annual growth rate is 1.4%.
In the year 2010
v(t) = 106(1.014)^25
v(t) = 106(1.014)^25
v(t) - 150056.47
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please can you hurry
What is the truth value for the following conditional statement?
p: true
q: false
p → q
ANSWERS
T F → T
F F → T
T F → F
F T → T
In the case above, the truth value for the following conditional statement is Option B: F F → T.
What is the conditional statement about?The truth value that was given in the statements are:
p : trueq : trueSo one can write that the truth values of :
p : false
q : false
Then, one need to find the truth value of (p → q)
Note that when as it is written, it means or implies that the truth value of any two statements is false.
If P is true and Q is false then one can say that in every condition, the truth value holds true. So we can then say that p → q: True
In the case above, the truth value for the following conditional statement is Option B: F F → T
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Content attribution
QUESTION 5
.
1 POINT
Find the mode(s) of
1, 8, 6, 2, 5, 5, 3, 6, 6, 2, 7,2
Answer:
6
Step-by-step explanation:
The mode of a data set, is the value that occurs the most often. There can be multiple modes, if two values have the same amount of frequency in a data set as well as having the highest frequency. So in this case case it appears there is only 1 mode with that being 6, since it appears 3 times. with no other value appearing this much in the data set.
(2x-1)²+8√2xy=4
4y-√8xy-1=1
Answer:
Step-by-step explanation:
(2x-1)²+8√2xy=4
4y-√8xy-1=1
4y-2√2 x=2
multiply by 4
16y-8√2xy=8
add to first eq.
(2x-1)²+16y=12
or
16y=-(2x+1)²+12
which gives us a downward parabola.
there 56 people invited to marks family reunion. each table at the park where the reunion is held can hold 7 people
length
AT=5,
3 In right triangle ABC shown below, point D is on
AB and point E is on CB such that AC || DE.
C
D
E
B
If AB= 15, BC = 12, and EC = 7, what is the
length of BD?
1) 8.75
2) 6.25
3) 5
4) 4
id or create
k as done
nments
Assi
to Susan Guha
Answer:
6.25
Step-by-step explanation:
BE = BC - EC = 12 - 7 = 5BE/BC = BD/AB
5/12 = BD/15
BD = 15(5/12) = 6.25
Which rule describes the composition of transformations that maps figure PQRS to figure P"Q'R"S"?
The transformation is R₁R_Q ₁₈₀° option second is correct if the quadrilateral PQRS transformed into P"Q'R"S"
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a quadrilateral PQRS shown in the picture.
From the transformation:
The image of Q(x, y) = Q'(-x, -y) will be the highest and leftmost point following the rotation since Point S is the lowest and farthest point to the right of Point Q.
The same applies to points P P' and R R'.
Thus, the transformation is R₁R_Q ₁₈₀° option second is correct.
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Answer:
Option B is the correct answer
yoo if you passed algebra one help me with these questions please should be pretty easy u dont have to explain or anything.
1) Find the domain of the function f ( x ) = 3 ( 3 ) x - 1
options: a. ( 0, ∞ ) b. ( − ∞, ∞ ) c. ( − ∞, 0 ) d. ( 0, 10 )
2) What is the range of the function f ( x ) = 2 x.
options: a.( 0, ∞ )b.( − ∞, 0 )c.( − ∞, ∞ )d.( − ∞, 1 ]
3) What is the range of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( − ∞, 1 ]
4) What is the domain of the function f ( x ) = 2 x.
options: a. ( 0, ∞ ) b. ( − ∞, 0 ] c. ( − ∞, 0 ) d. ( − ∞, ∞ )
5) What is the range of the function f ( x ) = 2 x − 2.
options: a. [ 1, 5 ] b. ( − ∞, 0 ) c. ( − ∞, ∞ ) d. ( 0, ∞ )
6) What is the domain of the function f ( x ) = -2 x
options: a. ( − ∞, 0 ) b. [ − 1, 5 ] c. ( − ∞, ∞ ) d. ( 0, ∞ )
7) Find the range of the function f ( x ) = -.5 ( 3 ) x-1
options: a. ( 1, ∞ ) b. ( − ∞, 0) c. ( − ∞, ∞ ) d. ( − ∞, -1 )
thanks :)
See below for the domain and the range of the functions.
How to determine the domain and the range?As a general rule, all linear functions have a domain and a range of all set of real numbers i.e. (−∞, ∞)
The functions (2), (3), (4), (5) and (6) are linear functions.
So, their domain and range are (−∞,∞)
For function (1), we have:
f(x) = 3(3)^x - 1
The above is an exponential function.
The domain of an exponential function is all set of real numbers i.e. (−∞, ∞)
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4x=-3y+12 I don't know the answer to this please help.
Answer: y = -4x/3 + 4
Step-by-step explanation:
Assuming you want to solve for y:
4x = -3y + 12
-4x/3 = y - 4
y = -4x/3 + 4
The five evidence-based recommendations addressed in the practice guide include all of the following except:
A. Teach math using a developmental progression and monitor progress to ensure math instruction builds on what each child knows.
B. Teach children to view and describe their world mathematical and integrate math instruction throughout the school day.
C. Make sure you have strong curriculum so that all the math skills are addressed.
Answer:
I would say b since this defintally usally you aren't expeced to use math ouside of math class at school
Hope This Helps!!!
Answer:
The correct answer is C.
Step-by-step explanation:
a rectangle is a parallelogram with 4 equal sides true or false
Answer:
False
Step-by-step explanation:
A rectangle does not have 4 equal sides, it has 2 sets of equal sides.
Consider the problem: Jasmine wants to buy a brand new pair of headphones that cost $99. While she already has $40 saved up, she is planning on working at a local grocery store for $8 an hour to make up the extra cash. Which of the following inequalities will help her determine values of h, the number of hours that Jasmine can work so she can afford the new headphones?
The number of hours that Jasmine can work so she can afford the new headphones x = 6 weeks.
let x represent the number of weeks it will take to save enough money.
If she saves $11 each week, then in x weeks she will save 11x dollars.
Add this to the 107 she has already saved, and at the end of 11 weeks she will have
11x + 107 dollars.
We want the amount saved to be equal to the price of the bike, so our equation is
11x + 107 = 173
In a word problem, writing the equation is usually the hardest part. Now we solve the equation.
Subtract 107 from both sides to get
11x = 66
Divide both sides by 11 to get
x = 6 weeks.
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If 10 inches on a map represents an actual distance of 100 feet, then what
actual distance does 25 inches on the map represent?
According to the given conditions, state:
10 × 100 = 25 ÷ xIf the fraction is defined, then the denominator cannot equal 0:
x≠0Attach the inequality as the domain: x≠0
Reduce the fraction to the smallest term, canceling the greatest common factor: 1/10 = 25/x.
Multiply both sides of the equation by the common denominator:
10x/10 = 25 × 10x / xSimplify the fractions: x = 250
Find the intersection: x = 250
get the result: x = 250
Answer: x = 250
the actual distance would be 250 feet.
{ Pisces04 }With the aid of a power reducing formula, 14sin² acos² a = ?
The reduced form of the trig expression is 7/2sin²2a
Trigonometry identityTrigonometry identities are written in terms of sine, cosine and tangent. Given the trigonometry identity
14sin² acos² a
Since sin(a)cos(a) = sin2a/2, hence
14sin²acos²a = 14[sin(a)cos(a)]²
14sin²acos²a = 14(sin2a/2)²
14sin²acos²a = 14/4(sin²2a)
14sin²acos²a = 7/2sin²2a
Hence the reduced form of the trig expression is 7/2sin²2a
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