Answer:
$19.50
Step-by-step explanation:
Dividing both sides by 32, we get $19.50.
find HM if HG=18, FM=5, and EM=9
Answer:
HM = 3 or HM = 15
Step-by-step explanation:
The product of segment lengths is the same for both chords.
SetupFM·EM = GM·HM
GM +HM = 18
Substituting for GM, we have ...
FM·EM = (18 -HM)·HM
5·9 = (18 -HM)·HM
SolutionEffectively, we want two factors of 45 that have a total of 18. Looking at the factors of 45, we have ...
45 = 1·45 = 3·15 = 5·9
The totals of these pairs are 46, 18, 14. The factor pair we're looking for is 3·15.
Either of these factors could be HM. The other will be GM.
There is nothing in the problem description that suggests the length of HM relative to other lengths on the diagram. (We know the diagram is not to scale.) So, there are two possible solutions:
HM = 3 or HM = 15
1) Can we predict the calories in a fast-food product if we know the amount of protein in that
product? Several fast-food products were examined and the number of calories and amount of
protein (in grams) were recorded. In the sample, the smallest and largest amounts of protein
were 4 grams and 22 grams, respectively. Analyzing the data resulted in the following
information:
Correlation of Protein and Calories = r = -0.87
The regression equation is Calories=302.5 -0.51 (Protein)
Interpret the correlation coefficient. There is a:
O strong negative linear relationship between protein amount and calories.
O weak negative linear relationship between protein amount and calories.
O strong positive linear relationship between protein amount and calories.
O weak positive linear relationship between protein amount and calories.
The correct option regarding the correlation coefficient is given as follows:
strong negative linear relationship between protein amount and calories.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.In this problem, the coefficient is of -0.87, which is a negative value with absolute value greater than 0.6, hence the relationship is strong is the correct option is given as follows:
strong negative linear relationship between protein amount and calories.
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If in a one tail hypothesis test where H0 is not only rejected in the upper tail, the oval he = 0.0739 and Zstat = + 1.45, what is the statistical decision if the null hypothesis is tested at the .10 level of significance?
What is the statistical decision?
Reject or do not reject?
Considering the p-value, the decision is described as follows:
Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].
What is the relation between the p-value and the conclusion of the test hypothesis?Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.If it is less, it is rejected.In this problem, we have that:
The p-value is of 0.0739.The significance level is of 0.1.Hence:
Since the p-value is less than [tex]\alpha[/tex], we reject [tex]H_0[/tex].
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15. Solve the following inequality: 38 < 4x + 3 + 7 - 3x.
OA.x < 4
OB.x>4
O C. x < 28
OD. x > 28
Step-by-step explanation:
38<4x+3+7-3x
4x+3+7>38
4x+3+7<3x
X>7
X<-10
= Ø
lim
x →1+. 1- x/x² - 1
Answer: [tex]\displaystyle \boldsymbol{-\frac{1}{2}}[/tex]
================================================
Work Shown:
[tex]\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{1-\text{x}}{\text{x}^2-1}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-(\text{x}-1)}{(\text{x}-1)(\text{x}+1)}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-1}{\text{x}+1}\\\\\\\displaystyle L = \frac{-1}{1+1}\\\\\\\displaystyle L = -\frac{1}{2}\\\\\\[/tex]
In the second step, I used the difference of squares rule to factor.
The (x-1) terms cancel which allows us to plug in x = 1. We plug this value in because x is approaching 1 from the right side.
Someone please help!
Answer:
obtuse
Step-by-step explanation:
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
In the above problem, it's given that one of the angles of the triangle exceeds 90° [ that is : 97° ]
[tex] \qquad \large \sf {Conclusion} : [/tex]
hence, it's an obtuse angled triangle
3) A communications company is planning a new network of specialty ZTX cables linking the major cities noted below. The cost to complete the project is $150 per mile. Draw a diagram of the minimum spanning tree and the cost associated with it.
The Minimum Spanning Tree diagram associated with ZTX's project is indicated as attached. The total cost associated with it is $1,664,550
What is a Minimum Spanning Tree?A graph spanning tree is a set of linked edges that encompass every vertex in the graph but do not create a cycle. A graph may have several such spanning trees.
The Minimum Spanning Tree, on the other hand, has the least cumulative edge weights.
What is the calculation for the attached minimum spanning tree?The starting point is Seattle.
The total minimum cost is given as:
(1306 + 629 + 435 + 1983 + 1225 + 1483 + 661 + 1145 + 1709 + 183 + 338) x 150
= $1,664,550
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The function g(x) is a transformation of the quadratic parent function, fx):
What function is g(x)?
90x)
15(x)
A. g(x) = 4x²
OB. g(x) = ² ->
O c. g(z) = -1¹
D. g(x)=-4x²
Answer: D
Step-by-step explanation:
The graph is narrower, so the coefficient of [tex]x^2[/tex] has an absolute value more than 1.
Eliminate B and C.Also, because g(x) opens down, the coefficient of [tex]x^2[/tex] is negative.
Eliminate A.This leaves D as the answer.
what is the absolute value of -45/6. I need serious help
Answer:
[tex]\frac{15}{2}[/tex]
Step-by-step explanation:
The absolute value of a number is just its distance from zero. In other words, if it's negative, the absolute value would make the number positive. This makes the absolute value [tex]\frac{45}{6}[/tex]. Now, reduce to get[tex]\frac{15}{2}[/tex].
3 On Saturday Keisha ran 35
she ran 41 kilometers. How much farther did she run on
Saturday than on Sunday?
By subtracting decimals, how much farther she ran on Saturday than on Sunday is determined as: 1.078 kilometers.
How to Subtract Decimals?When subtracting decimals, the number value is taken into consideration.
Distance ran by Keisha on Saturday = 3.218 kilometers.
Distance ran by Keisha on Sunday = 2.41 kilometers.
Subtract both decimals to determine how much farther she run on Saturday than on Sunday.
3.218 - 2.14 = 1.078 kilometers.
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Johnny picks up a baseball and throws it to Rob who is exactly 130 feet away at a direction of 50 degrees. Rob then throws the ball to Patrick who is 50 feet from Rob in a direction of 30 degrees. Find the exact distance and direction that Patrick is from Johnny.
I need to sketch a triangle.
The exact distance and direction that Patrick is from Johnny is; 177.81 ft and 215.52°
How to utilize trigonometric ratios?Let the distance of Johnny to Patrick be x.
The angle opposite x would be; (90 - 50) + 90 + 30 = 160°
We will therefore use the cosine rule to find x;
X² = A² + B² - 2ABcosx
Where;
A and B are the distance of Johnny to Rob and Rob to Patrick respectively. Thus;
X² = 130² + 50² - 2(130)(50)cos160
X²= 16900 + 2500 + 12216.004
X² = 31616.004
X = 177.81 ft
To get the direction "y" we will use sine rule;
50/siny = 177.809/sin160
50/siny = 177.809/0.342
50/siny = 519.9094
Siny = 50/519.904
Siny = 0.09617
y = sin⁻¹(0.09617)
y = 5.52°
The bearing of Patrick from Johnny is;
5.52 + 30 + 180 = 215.52°
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The segment below is dilated by a scale factor of 22 to form I ′J ′ What is the measure of I ′J ′ ?
Answer:
18
Step-by-step explanation:
When dilating a segment by a scale factor, we multiply the original length by the scale factor to find the length.
2*9 = 18
suppose that you borrowed 2000 from a friend and promise to pay back 3600 in 4 years. What simple interest rate will you pay?
The simple interest rate that the money would be paid is 20%
Simple interestFrom the question, we are to determine the interest rate that the money would be paid
Using the formula for simple interest,
S.I = PRT/100
Where S.I is the simple interest
P is the principal
R is the rate
and T is the time
From the given information,
P = 2000
S.I = Amount - Principal = 3600 - 2000 = 1600
R = ?
T = 4
Putting the parameters into the equation, we get
1600 = (2000 ×R × 4) / 100
1600 = 20 × R × 4
1600 = 80R
R = 20%
Hence, the simple interest rate that the money would be paid is 20%
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For a function f(x), the difference quotient is x + one-half h + 15. Which statement explains how to determine the average rate of change of f(x) from x = 5 to x = 8? Substitute 5 for x and 3 for h in the expression x + one-half h + 15. Substitute 5 for x and 8 for h in the expression x + one-half h + 15. Substitute 8 for x and 5 for h in the expression x + one-half h + 15. Substitute 8 for x and 3 for h in the expression x + one-half h + 15.
The average rate of change of f(x) from x = 5 to x = 8 would be gotten by; B: Substituting 5 for x and 8 for h in the expression x + one-half h + 15
How to used difference quotient to find average rate of change?The difference quotient is defined as a measure of the average rate of change of a function over an interval.
The limit of the difference quotient which is the derivative is the instantaneous rate of change.
This differential quotient in calculus is usually expressed as;
[f(x + h) - f(x)]/h
We are given the differential quotient as;
f(x) = x + ¹/₂h + 15
Thus, the average rate of change of f(x) from x = 5 to x = 8 would be gotten by;
Substituting 5 for x and 8 for h in the expression x + one-half h + 15
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The function f(x)=−4x4+3x3−2x2−x+5 is/has A. order 2 rotational symmetry about the origin
B. neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin
C. even
D. odd
The answer choice which describes the function is; Choice B; neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
What is rotational symmetry?Rotational symmetry, otherwise termed radial symmetry, is the characteristic of a shape when it looks the same after some rotation by a partial turn. On this note, since the function represents a quartic graph, it follows that the function has neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
Therefore, the function f(x) = −4x⁴ + 3x³ − 2x² − x + 5 is neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
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Suppose a line has a slope of −5.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
The slope of a line parallel to this line is -5 and the slope of a line perpendicular to this line is 1/5
How to determine the slopes?The slope is given as:
m = -5
Parallel line have the same slope.
So, the slope of a line parallel to this line is -5
However, perpendicular lines have their slopes to be opposite reciprocal
This means that:
Perpendicular slope = -1/-5Perpendicular slope = 1/5The slope of a line perpendicular to this line is 1/5
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Someone please help I’m lost
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
There is one angle and an adjacent side of the triangle given equal to corresponding angle and side of the other triangle and if we observe the figure we can see that there's also a adjacent side XY common in both the Triangles.
Hence, the two triangles are congruent by SAS congruency criteria.
[tex] \qquad \large \sf {Conclusion} : [/tex]
SAS criteriaA file that is 273 megabytes is being downloaded. If the download is 18.9 complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
51.6 megabytes
Step-by-step explanation:
It is asking you what 18.9 percent of 273 is. To find this you multiply 18.9 x 273 and then divide it by 100 which equals 51.597.
You then round it to the nearest tenths which gives you 51.6
What is the simple interest earned on $ 235 at 4.5 % for 2 years?
Answer:
$21.15
Step-by-step explanation:
(235)(.045)(2)
Solve the quadratic equation by graphing it. Select all possible answers.
[tex]y=x^2+8x+12\\x=?[/tex]
Possible answers:
-6
6
-8
2
-2
8
No real solutions
The solutions to the given quadratic equation are x = -6 and x = -2
Quadratic equationsFrom the question, we are to solve the given quadratic equation
The given equation is
y = x² + 8x + 12
To solve the equation, we will set it equal to 0
That is,
x² + 8x + 12 = 0
Solving
x² + 8x + 12 = 0
x² + 2x + 6x + 12 = 0
x(x +2) +6(x + 2) = 0
(x +6)(x + 2) = 0
x +6 = 0 OR x +2 = 0
x = -6 OR x = -2
Hence, the solutions to the given quadratic equation are x = -6 and x = -2
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When a function is evaluated with a zero, it represents:
-the initial amount or starting point before a certain time.
-the initial amount or starting point.
-the initial amount or starting pint after a certain time
Answer: the initial amount or starting point.
Step-by-step explanation:
Children learn to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable.
a. True
b. False
Children learning to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable is a true statement.
What are Patterns?
This involves the regularity or repeated way in which something is done or arranged.
Children are very inquisitive and tend to make logical connections when dealing with patterns due to their reasoning skills thereby aiding their learning process.
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A city has a population of 350,000 people. Suppose that each year the population grows by 4.75%. What will the population be after 13 years? Use the calculator provided and round your answer to the nearest whole number.
Answer: 4766125
//////////
Answer:
Step-by-step explanation:
first you we need to times 350,000 4.75 and you got 1662500 then subtract 1662500 - 13 years you got 1662487.
a car's velocity is modeled by
[tex] v(t) = 0.5t {}^{2} - 10.5t + 45 \: for\leqslant t \leqslant 10.5[/tex]
Where velocity is in feet per second and time is in seconds. When does the car come to a complete stop?
In accordance with the function velocity, the car will have a complete stop after 6 seconds.
When does the car stop?
Herein we have a function of the velocity of a car (v), in feet per second, in terms of time (t), in seconds. The car stops for t > 0 and v = 0, then we have the following expression:
0.5 · t² - 10.5 · t + 45 = 0
t² - 21 · t + 90 = 0
By the quadratic formula we get the following two roots: t₁ = 15, t₂ = 6. The stopping time is the least root of the quadratic equation, that is, the car will have a complete stop after 6 seconds.
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Simplify
18÷[7+2{7+2(7-6)}+2
Answer is
[tex] \frac{2}{3} [/tex]
Show me the steps by steps
Answer:
[tex] \frac{2}{3} [/tex]
Step-by-step explanation:
=18÷[7+2{7+2(7-6)}+2]
=18÷[7+2{7+2×1}+2]
=18÷[7+2×9+2]
=18÷[7+18+2]
=18÷27
=[tex] \frac{18}{27} [/tex]
=9 two is 18 and 9 three is 27
So,
=[tex] \frac{2}{3} [/tex]
Solve p/-1+ 17 = 13 for p.
Answer: 208
Step-by-step explanation:
[tex]\frac{p}{-1+17} =13[/tex]
[tex]\frac{p}{16} =13[/tex]
[tex](16)\frac{p}{16} =13(16)[/tex]
[tex]p=13*16[/tex]
[tex]p=208[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{p}{-1}+17=13 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply \ the \ properties \ of \ fractions: \frac{a}{-b}=-\frac{a}{b}. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-\frac{P}{1} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply\:the\:rule \:\frac{a}{1}=a} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-P} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17=13} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Subtract \ 17 \ from \ both \ sides. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17-17=13-17} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P=-4} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Divide\:both\:sides\:by\:-1} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{-p}{1}=\frac{-4}{-1} } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P=4} \end{gathered}$}}[/tex]Charlotte owns two entertainment websites. Here are some details about those
websites for one entire month:
Number of writers
Number of posts posted
Average number of words of post
Average likes per post
Average comments per post
Number of new subscribers
Revenue
Expenses
Profit (Revenue-Expenses)
Website A Website B
5
11
110
200
100
170
3500
450
20,000
$75,000
$47,000
$28,000
3500
500
9000
$30,000
$20,000
$10,000
Charlotte wants to know which website produces a larger amount of content per a
single writer.
1) Charlotte thought of two different ways to define this quantity, Identify these two
definitions among the following options.
4 of 4
In order to define the quantity of which of the two website produces a larger amount of content per single writer, Charlotte thought of:
A Average number of posts per writer C Average number of words per writerHow can Charlotte define the quantity?Charlotte wants to know which website has more content per writer which means that she wants to know which website is more productive with writing.
One way she can do this is to check the average number of posts per writer per website. This would show her which website has a writer that writes more content on average.
Charlotte could also use average number of words per writer. This shows just how much writing the writers in each websites are doing, in terms of words. The website with the higher average words per writer is therefore providing more content.
Options for this question include:
A Average number of posts per writerB Total number of wordsC Average number of words per writerD Average number of likes per wordFind out more on using averages as decision tools at https://brainly.com/question/17004212.
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Se dispone de 800 000 para invertir. Una cuenta paga el 18% de interés anual, y otra paga el 21%. ¿Cuánto debe invertirse en cada cuenta para ganar 150 000 en intereses en un año?
Se debe depositar $ 600 000 en la cuenta con 18 % de interés anual y $ 200 000 en la cuenta con 21 % de interés anual para recibir $ 150 000 en intereses.
¿Cuánto se debe invertir en cada cuenta para alcanzar las ganancias deseadas en un período dado?
En este problema tenemos un depósito repartido en dos cuentas, que adquiere ganancias de manera continua en el tiempo. En consecuencia, tenemos por interés compuesto la siguiente ecuación a resolver:
x · (18/100) + (800 000 - x) · (21/100) = 150 000
168 000 - (3/100) · x = 150 000
(3/100) · x = 18 000
x = 600 000
Se debe depositar $ 600 000 en la cuenta con 18 % de interés anual y $ 200 000 en la cuenta con 21 % de interés anual para recibir $ 150 000 en intereses.
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Find the sum of the series: 4+8+12+........to 20 term. In (n
Answer:
16
Step-by-step explanation:
4 , 8 , 12 , 16 , 20 , ....................... ans goes on
if your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound? Explain your rationale using a cost and portion argument
The second option saves time and cleaning elements, so that one is better.
Which option is better?We know that every day you sell a total of 50 bowls, and each one needs 8 oz of onion, this means that you need:
50*8 oz = 400 oz
So you need 400 ounces of onion per day.
If you buy at $1.99 per pound (1 lb = 16 oz)
Then the cost per ounce is:
c = $1.99/16
And the cost of 400 ounces is:
C = ($1.99/16)*400 = $49.75
In the case of the pre-sliced onions, the total cost would be:
C' = ($2.99/16)*400 = $74.75
So in the first case, each portion costs:
$49.75/50 = $0.995
And in the second case:
$74.75/50 =$1.495
So the extra cost is returned by the extra time and savings in cleaning elements, thus, the second option is better.
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