Answer:
x = 3.6
Step-by-step explanation:
By the Postulate of intersecting chords inside a circle.
\(x \times 5 = 3 \times 6 \\ 5x = 18 \\ x = \frac{18}{5} \\ x = 3.6 \\ \)
Let P(x) = -50x+20,000x-1,5000,000 represent the profit function for manufacturing a particular model of recreational
vehicle (RV) and x represent the number of RVS produced monthly. Use a compound inequality to state the range of the
number of RVs that need to be sold each month for the company to make a profit.
O 0
100
200
none of the answer choices
O 0
O 100
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.
The profit function is given by P(x) = -50x + 20,000x - 1,500,000.
To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:
-50x + 20,000x - 1,500,000 > 0.
Combining like terms, we have:
19,950x - 1,500,000 > 0.
Now, let's solve this inequality for x:
19,950x > 1,500,000.
Dividing both sides by 19,950, we get:
x > 1,500,000 / 19,950.
Simplifying the right side, we have:
x > 75.
The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.
Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".
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The price of a gallon of unleaded gas has dropped to $2.78 today. Yesterday's price was $2.85. Find the percentage
decrease. Round your answer to the nearest
tenth of a percent.
Answer:
$0.07, 10%
Step-by-step explanation:
$2.85 - $2.78 = $0.07. First, subtract the numbers like the decimal isn't there. Then, you circle all the numbers to the right of the decimals after you have your answer. Count the circled numbers and write a decimal point at the right, there should be three circled numbers, those numbers are how many times you are going to put the decimal points to the right. Your answer should be 0.07. That rounds to ten, therefore your answer is 10%.
I need help with this.
Answer:
answer is 2
Step-by-step explanation:
add 1+1 then that gives you 2
subtract 2 from 1 that gives you 1
final answer: 1
Answer:
1/4=25%
Each section has 25% probability of the spinner landing on it
25 POINTS PLS HELP SOME1!!
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
Which expression represents a cube root of 1 + i?
OVE (cos()+ i sin (24))
OVE (cos (37) + i sin (3))
/
O & (cos (4) + i sin (24))
V2 (cos (37) + 1 sin (37))
Answer:c
Step-by-step explanation is va cuz when your multiply:
Answer:
\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)
Step-by-step explanation:
The analysis is as attached below.
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 20.25 ft, a width of 12 ft, and a height of three and one fifth ft.
Determine the volume, V, using the formula V = lwh.
827.6 cubic ft
777.6 cubic ft
77.76 cubic ft
35.45 cubic ft
777.6 cubic ft is the volume of the shed that Lorie ordered to hold her gardening supplies.
What is the volume of the shed?The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is the width, h is height and l is length
Given the data in the question;
Length of the shed l = 20.25 ftWidth of the shed w = 12 ftHeight of the shed h = 3 1/5 ftTo determine the volume of the shed, plug the given values into the above formula and simplify.
V = w × h × l
V = 12 ft × 3 1/5 ft × 20.25 ft
V = 12 ft × 3.2 ft × 20.25 ft
V = 12 ft × 64.8 ft²
V = 777.6 ft³
Therefore, the volume of the shed is 777.6 ft³.
Option B is the correct answer.
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PLEASE HELP ME IM DESPERATEEEE
Answer:
See attached
Step-by-step explanation:
The form is filled in and attached
Simplify the sym or difference 4√2 - 7√2
Answer: ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
-3√2
(07.04) THIS IS 20 POINTS!!!!!
PLZ ANSWER ASAP
1/3 b = 4/5 Which of the following equals b in this equation?
A. 2 2/5.
B. 1 1/8.
C. 2/5.
D. 1/4
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\( \frac{1}{3} b = \frac{4}{5} \\ \)
Multiply sides by 3
\( 3 \times \frac{1}{3} b =3 \times \frac{4}{5} \\ \)
\(b = \frac{12}{5} \\ \)
\(b = \frac{10 + 2}{5} \\ \)
\(b = 2 \frac{2}{5} \\ \)
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Thus the correct answer is (( A )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
your answer should be A. 2 2/5
*Which
.............
Answer:
If the first one is a, next is b, ect., then answer is C
Step-by-step explanation:
Just take the first thing. Distributive property and it goes to 9x. From there only one choice has 9x, so ez.
Factor 48e+180 using greatest common factor
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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please helppp
Simplify.
(-2)^-3
Answer:
-1/8 <----- FRACTION
Step-by-step explanation:
Christina’s savings account grows at a rate of 2% compounded quarterly. If her initial deposit is $750, write a function A(t)
that models the balance of the savings account after t years.
Answer:
Step-by-step explanation:
A = P * (1 + r/n)^(n*t
The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 750(1.0002)^4t. (in dollars)
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
For this case, we're given that:
Initial amount Christina deposits = P = $750
Rate of interest = 2% compounding quarterly
Time = t years
Rate of interest is compounding quarterly.
Each year has 4 quarters.
Quarterly interest rate compounding quarterly = 2%.
t years has 4t quarters = T
Thus, we get the final amount in Christina’s account as
A = P * (1 + r/n)^(n*t)
A = 750(1 + 0.02/100)^4t
A = 750(1.0002)^4t
Thus, the function that gives the amount of money in dollars, J(t), in Christina’s account t years after the initial deposit is A = 750(1.0002)^4t (in dollars)
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In this 30°-60°-90° right triangle, the length of the long leg is 9√3
What is the measure of the hypotenuse n and the short leg m?
30°
9√3
n
m
Answer:
30°
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
In a 30°-60°-90° right triangle, the sides are always in the ratio of 1: √3:2, where 1 is the length of the short leg opposite the 30° angle, √3 is the length of the long leg opposite the 60° angle, and 2 is the length of the hypotenuse opposite the 90° angle1234.
In this case, we are given that the long leg is 9√3, so we can use this value to find the other sides by setting up a proportion:
short leglong leg=13
short leg93=13
Cross-multiplying and solving for the short leg, we get:
short leg=393×1=9
Similarly, we can use another proportion to find the hypotenuse:
long leghypotenuse=32
93hypotenuse=32
Cross-multiplying and solving for the hypotenuse, we get:
hypotenuse=32×93=18
Therefore, the measure of the hypotenuse n is 18 and the measure of the short leg m is 9.
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Please help me as soon as possible.
\(\begin{array}{llll} x~-2y=-13\\ 5x+2y=-17\\ \cline{1-1} 6x+0y=-30 \end{array}\qquad \implies 6x=-30\implies x=\cfrac{-30}{6}\implies x=-5 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{substituting on the 1st equation}}{(-5)-2y=-13\implies }-2y=-8\implies y = \cfrac{-8}{-2}\implies y = 4 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (-5~~,~~4)~\hfill\)
A researcher wants to construct a 90% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school lunches. A state-wide survey indicates that the proportion is 0.50. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.1?
Answer:
The sample size is \(n =68\)
Step-by-step explanation:
The population proportion is \(\^ p = 0.50\)
The margin of error is \(E = 0.1\)
From the question we are told the confidence level is 90% , hence the level of significance is
\(\alpha = (100 - 90 ) \%\)
=> \(\alpha = 0.10\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.645 \)
Generally the sample size is mathematically represented as
\(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)
=> \(n = [\frac{1.645 }{0.1} ]^2 * 0.50 (1 - 0.50 ) \)
=> \(n =68\)
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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ANSWER THIS WITH EXACT SOLUTION!.
Two ladders are leaning against a wall as shown, making the same angle with the ground. The longer ladder reaches 40 feet up the wall. How far up the wall does the short ladder reach?
for example, l is the length of short ladder we want to find
Make a comparison
ladder/wall height = ladder/wall height
l/20 = 50/40
l/20 = 5/4
l = 5/4 × 20
l = 100/4
l = 25
The short ladder is 25 ft
Therefore, The short ladder is 25 ft
===================================
\( \large \sf \underline{Problem:}\)
Two ladders are leaning against a wall as shown, making the same angle with the ground. The longer ladder reaches 40 feet up the wall. How far up the wall does the short ladder reach?===================================
\( \large \sf \underline{Answer:}\)
\(\huge \sf \qquad \quad{ 16 \: feet }\)
===================================
\( \large \sf \underline{Solution:}\)
Setting up the equation, establish the best proportion.
\( \large : \implies\qquad\large \sf\dfrac{x}{40} =\large\sf \dfrac{20}{50} \)
Solving the equation, setting up the ratios and then cross multiply.
\( \qquad\large \sf\dfrac{x}{40} = \large \sf \dfrac{20}{50} \)\( \qquad\large \sf{(x)(50 \: ) = } \large \sf {(20)(40)}\)\( \qquad\large \sf{50x \: = 800 }\)\( \qquad\large \sf\dfrac{50x}{50} = \large \sf\dfrac{800}{50} \)\( \qquad\large \sf{ \underline{ \underline{\pmb {x \: = \: 16 }}}}\)Hence, the short ladder reach the wall up to 16 feet.
===================================
Need help plz need to turn in before 12?!?!?!
Answer:
C = π (4yd)
C = 12.6yd
Step-by-step explanation:
Please help fast! Determine which set of side measurements could be used to form a right triangle. 4, 8, 11 or 6, 8, 13 or square root of 3, square root of 5, 8 or square root of 3, square root of 13, 4.
The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.
What is a right-angle triangle?In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.
The next choice shows the triangle's side length:
The point is,
The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.
Using Pythagoras' Theorem.
Use the formula:
a² + b² = c²
For 4, 8, 11
4, 8, 11
4² + 8² = 16 + 64 = 80
11² = 121
80 is not equal to 121 it cann ot form a right triangle
For 6, 8, 13
6² + 8² = 36 + 64 = 100
13² = 169
100 is equal to 169 - 69 can form a right triangle
For √3, √5, 8
(√3)² + (√5)² = 3 + 5 = 8
8² = 64
8 is equal to 64 cannot form a right triangle
For √3, √13, 4
(√3)² + (√13)² = 3 + 13 = 16
4² = 16
16 is equal to 16 can form a right triangle
In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.
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Absolute minimum and maximum values of \(f(x)=2cos (x) +sin (2x)\) on the interval \([0,pi/2]\)
Step-by-step explanation:
f'(x)=-2sin(x)+2cos(2x)=0
as cos(2x)=2sin(x)cos(x),
-2sin(x)+4cos(x)sin(x)=0
sin(x)-2cos(x)sin(x)=0
(sin(x))(1-2cos(x))=0
-> x = 0, pi/3
testing these values along with the end points of the interval,
f(0)=2
f(pi/3)=1+(0.5sqrt(3))
f(pi/2)=0
so the min is 0 and the max is 2.
A fast-food restaurant has a cost of production C(x)=12x+114 and a revenue function R(x)=6x. When does the company start to turn a profit?
Step-by-step explanation:
Given data
C(x)=12x+114
R(x)=6x.
The company will start to run on profit just when revenue equals the production cost, that is
C(x)=R(x)
equating the two expressions we have
12x+114=6x
solving for x we have
12x-6x+114=0
6x+114=0
6x=-114
x=-114/6
x=-19
Hence the company will start to run on proft when they start to produce above 19 items
Profit is the difference between the revenue and cost functions
A production greater than 19 will turn a profit
From the question, we have:
\(\mathbf{R(x) = 6x}\)
\(\mathbf{C(x) = 12x + 114}\)
So, the profit function is:
\(\mathbf{P(x) = R(x) - C(x)}\)
Substitute known values
\(\mathbf{P(x) = 6x - 12x - 114}\\\)
\(\mathbf{P(x) = - 6x - 114}\)
Equate to 0
\(\mathbf{- 6x - 114 = 0}\)
Collect like terms
\(\mathbf{- 6x= 114}\)
Divide both sides by -6
\(\mathbf{x= -19}\)
The above equation means that: A production greater than 19 will turn a profit
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Maria has been tracking the number of songs she has
downloaded on her smart phone for the past several
months. Use the scatterplot and line of best fit below to
help her determine when she will reach 10,000 songs?
Answer:
The answer of the given question based on the scatterplot for determining when she will reach 10,000 songs the answer is Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.
What is Slope?Slope is measure of steepness or incline of line. In geometry and mathematics, slope is defined as ratio of the change in y-coordinates to change in x-coordinates between two distinct points on line. This is often represented by letter "m".
To determine when Maria will reach 10,000 songs, we need to find the point on the line of best fit where the y-value is 10,000.
From the scatterplot, we can estimate that the line of best fit intersects the y-axis at approximately 2000. This means that the initial number of songs downloaded was 2000.
Next, we need to find the slope of the line of best fit. Let's choose the points (5, 6500) and (10, 9500).
The slope of the line passing through these two points is:
slope = (y2 - y1)/(x2 - x1) = (9500 - 6500)/(10 - 5) = 600 songs per month
This means that Maria is downloading 600 songs per month on average.
Finally, we can use the slope-intercept form of a line to find the x-value when the y-value is 10,000:
y = mx + b
10,000 = 600x + 2000
8000 = 600x
x = 13.33
Therefore, Maria will reach 10,000 songs in approximately 13.33 months, or about 14 months.
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Solve for x.
ca+cx=67x+93
The value of x will be (93 - ca) / (c-67)
According to the question we have been given the equation which is
ca + cx = 67x + 93
We need solve this equation for x. We will solve this step by step that is,
We will combine x terms on the left hand side and the constant terms on the right hand side.
cx - 67x = 93 - ca
Taking x common from both the terms on the left hand side we get
x( c - 67) = 93 - ca
Now dividing both the sides by (c-67) we get
x = (93 - ca) / (c-67)
Hence the value of x will be (93 - ca) / (c-67)
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FILL IN THE BLANK. The critical value value needs to be ______________ than the calculated or obtained value (test statistic) to reject the null hypothesishigherequal tolowersignificantly different than
The critical value value needs to be lower than the calculated or obtained value (test statistic) to reject the null hypothesis
What is Null Hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Reason:
Critical value < calculated or obtained value (test statistic) to reject the null hypothesis
We are unable to reject the null hypothesis if the statistic is less than or equal to the crucial threshold (e.g. no effect). If not, it is turned down. This interpretation can be summed up as follows: Critical Value = Test Statistic fail to invalidate the statistical test's null hypothesis.
If the test statistic is less than the crucial value in a lower-tailed test, the decision rule requires that the investigators reject H0. If the test statistic in a two-tailed test is extreme—either bigger than an upper critical value or smaller than a lower critical value—investigators are required by the decision rule to reject H0.
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The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
What is the definition of independent samples? A. All samples of the same size have an equal chance of being selected from the population. B. The sample selected from one of the populations has no effect or bearing on the sample selected from the other population. C. The sample selected from one of the populations is paired with a sample selected from the other population.
Answer:
B. The sample selected from one of the populations has no effect or bearing on the sample selected from the other population.
Step-by-step explanation:
In statistical analysis, the use of independent samples for diverse studies is common.
Independent samples are such that the sample selected from one of the populations has no effect or bearing on the sample selected from the other population.
This means that samples are selected randomly in such a way that an observation obtained from a sample does not depend on the values obtained from the observation of another sample from the other population.