ANSWER
C. 9
EXPLANATION
The volume of a cone is:
[tex]undefined[/tex]For the following scores:a. construct a frequency distribution table.b. sketch a histogram of the frequency distribution.5, 4, 3, 5, 4, 2, 4, 15, 4, 6, 1, 4, 5, 2, 3
Given the data set:
5, 4, 3, 5, 4, 2, 4, 1, 5, 4, 6, 1, 4, 5, 2, 3
Using the given data set, let's answer the following questions:
• (a). Construct a frequency distribution table.
Let's first arrange the terms in ascending order:
1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6
Here, we can have the following:
1 ==> Occurs twice
2 ==> Occurs twice
3 ==> Occurs twice
4 ==> Occurs 5 times
5 ==> Occurs 4 times
6 ==> Occurs once.
Therefore, for the frequency distribution table, we are to use the number of times each data occur (this is the frequency).
We have the table below:
• Part b.
Let's sketch a histogram of the frequency distribution.
• We have the histogram of the frequency distribution below:
Solve the system using any method. State your solution as an ordered pair. DO NOT include spaces in your answer.
Answer: (- 4, - 7)
Explanation:
The given equations are
y = 5x + 13
y = 2x + 1
We would equate both equations. We have
5x + 13 = 2x + 1
5x - 2x = 1 - 13
3x = - 12
x = - 12/3
x = - 4
Substituting x = - 4 into y = 2x + 1, we have
y = 2(- 4) + 1 = - 8 + 1
y = - 7
The solution is
(- 4, - 7)
what is the slope intercept form of the line passing through the point (2,1) and having a slope of 4?
The equation of a line has the form:
[tex]y=mx+b[/tex]if the slope is equal to 4 then we know that: m = 4 and now we can replace the slope and the coordinate ( 2,1 ) to find b so:
[tex]\begin{gathered} 1=4(2)+b \\ 1-8=b \\ -7=b \end{gathered}[/tex]So the final equation will be:
[tex]y=4x-7[/tex]Can you help me solve the domain of this math word problem?
the domain refers to all possible values of x in the function.
since a negative time does not make sense, the smallest value of the domain is zero
on the other hand, the problem indicates that the model is considered accurate up to 100,000 years, therefore that would be the largest value of t
in conclusion, the domain of the function A(t) is
[tex]\lbrack0,100000\rbrack[/tex][ 0 , 100,000 ]
Dave and his friends went out to celebrate his birthday at Chill's in buda. their meal cost $86 and they left a 15% tip how much was the total bill including tip?
The meal cost is $86
its 15% is:
$86 x 0.15 = $12.9
then the tip was $12.9. Then, the total bill would be:
$86 + $12.9 = $98.9
that is the total bill was $98.9
Use a graphing utility to graph the function and to approximate any relative minimum or relative maximum values of the function. (Round your answers to the nearest integer. If an answer does notexist, enter DNE.)
Given:
[tex]f(x)=4x-2x^2[/tex]Required:
To find the relative minimum and relative maximum values of the function.
Explanation:
Consider
[tex]f(x)=4x-2x^2[/tex]The graph of the function is
The relative maximum is at (1,2).
There is no relative minimum.
Final Answer:
The relative maximum : (1,2).
The relative minimum : DNE.
The measure of side VT is 60 inches. Find the length of side VProunded to the nearest tenth.
It is important to notice that side VP is the hypothenuse of the triangle, and VT is the adjacent leg to 30°.
To find VP, we just have to use the cosine function
[tex]\begin{gathered} \cos 30=\frac{VT}{VP} \\ \cos 30=\frac{60}{VP} \\ VP=\frac{60}{\cos 30} \\ VP\approx69.3 \end{gathered}[/tex]Hence, VP is 69.3 inches long.If possible, give the input and output variables of the equation f(r) = 兀r2.
The input variable of the function is r, while the output variable is f(r)
How to determine the variables?The definition of the function is given as
f(r) = πr²
In the above function definition, we have the function to be
f(r)
The definition f(r) implies that
r represents the input variablef(r) represents the output variableThe above is true because, the variable π has its constant value of 22/7
i.e. π= 22/7
While the variable r can change its value
Take for instance:
If r = 7, then we have
f(7) = π x 7²
Evaluate
f(7) = 154
If r = 14, then we have
f(14) = π x 14²
Evaluate
f(14) = 616
See that the value of f(r) changes as r changes
This means that, the stated parameters above are true i.e.
r represents the input variablef(r) represents the output variableRead more about functions at
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A trampoline park charges $2 plus an hourly rate for each hour. The sign to theright gives the prices for up to 3 hours of parking. Which linear equationrepresents the given information where C is the total cost and h is the number ofhours spent at the park?
Given the following question:
Trampoline park charges $2 plus an hourly rate for each hour (variable h)
Sign gives prices for up to three hours of parking
C = total cost
h = hours
C = total cost
The sign goes up 12 dollars for every hour
The sign goes up to 3 hours
Option A isn't the answer because the sign only goes up to 3 hours
Your answer is option B
Since c represents total cost
2h = 2 +12 which is plus 12 dollars every hour
can you explain this to me what you are supposed to do this
Solution
If we see the two tirangles given BAC and A'B'C' we can conclude that we have the following congruent angles
< CAB = < C'A'B'
< BCA = < B'C'A'
< ABC = < A'B'C'
32Lucky Lanes Bowling Alley is putting this design on its roof.4 feet4 feet20 feet4 feet4 feet10 feet
In order to find the volume of the design, we want to find the volume of the figures that compound it:
Total volume = volume 1 + volume 2
Volume 1The volume of each box is given by the product of its sides:
side 1 x side 2 x side 3.
In this case, we have that
side 1 = 4 ft
side 2 = 4 ft
side 3 = 20 ft - 4 ft = 16 ft
Then,
side 1 x side 2 x side 3.
↓
volume 1 = 4 ft x 4 ft x 16 ft = 256 ft³
volume 1 = 256 ft³
Volume 2For the second part we have that:
side 1 = 4 ft
side 2 = 4 ft
side 3 = 10 ft
Then,
side 1 x side 2 x side 3.
↓
volume 2 = 4 ft x 4 ft x 10 ft = 160 ft³
volume 2 = 160 ft³
Total volumeThe total volume is given by
Total volume = volume 1 + volume 2
↓
Total volume = 256 ft³ + 160 ft³
Total volume = 416 ft³
Answer: 416 ft³
Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.See image
Statement Problem: Does the relation in the table represent direct variation, inverse variation, or neither? If it is direct or inverse variation, write an equation to represent the relation. Explain your answer.
Solution;
We observe that as the value of x is increasing, the value of y is decreasing. Hence, it has a feature of an inverse variation.
When two variables are inversely related;
[tex]\begin{gathered} x\propto\frac{1}{y} \\ x=\frac{k}{y} \end{gathered}[/tex]But;
[tex]x=5,y=2[/tex]Thus, we have;
[tex]\begin{gathered} x=\frac{k}{y} \\ 5=\frac{k}{2} \\ k=5\times2 \\ k=10 \end{gathered}[/tex]Thus, the equation to represent the information is;
[tex]\begin{gathered} x=\frac{k}{y} \\ \text{Put the value of k in the equation;} \\ x=\frac{10}{y} \end{gathered}[/tex]The equation to represent the information is;
[tex]x=\frac{10}{y}[/tex]Reflect the following figure across the x-axis: S: (0, -3), T: (3, 1), U: (4, -3)
We are given the following coordinates.
[tex]\begin{gathered} S(0,-3) \\ T(3,1) \\ U(4,-3) \end{gathered}[/tex]We are asked to reflect them across the x-axis.
Recall that the rule for reflection across the x-axis is given by
[tex](x,y)\rightarrow(x,-y)[/tex]As you can see, the y-coordinate gets reversed.
Let us apply this rule on the given coordinates S, T, U
[tex]\begin{gathered} S(0,-3)\rightarrow U^{\prime}(0,3) \\ T(3,1)\rightarrow T^{\prime}(3,-1) \\ U(4,-3)\rightarrow U^{\prime}(4,3) \end{gathered}[/tex]Therefore, the above coordinates are reflected over the x-axis.
Given that XY = ZY, WX = 6x-3 and WZ= 4x + 9, find ZX
In the Given Figure,
There are two right triangles, ΔWXY and ΔWZY,
So, according to Pythagoras' theorem,
XW^2 + YW^2 = XY^2
And WZ^2 + YW^2 = ZY^2
Now, Since XY = ZY, their squares are also equal
⇒XW^2 + YW^2 = WZ^2 + YW^2
⇒ XW^2 = WZ^2 ................(YW^2 is the common term on both sides)
⇒ (6x-3) ^2 = (4x + 9) ^2
⇒ 36x^2 - 36x + 9 = 16x^2 + 72x + 81
⇒36x^2 - 16x^2 - 36x + 72x = 81-9
⇒20x^2 - 108x = 72
⇒ 5x^2 - 27x = 18
⇒ 5x^2 - 27x - 18 = 0
⇒ (5x+3) (x-6) = 0
⇒ x = 6 or x = -3/5
Since, the distance cannot have a negative value,
⇒ x = 6
So, WX = 6x - 3 = 6(6) - 3 = 36-3 = 33
WZ = 4x + 9 = 4(6) + 9 = 24 + 9 = 33
ZX = WX + WZ = 33 + 33 = 66 units.
Also, since all the three sides of ΔWXY and ΔWZY are equal, ΔWXY and ΔWZY are congruent to each other.
What are Congruent Triangles?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.Formally, two sets of points are said to be congruent if—and only if—they can be changed into one another by an isometry, which is a combination of rigid motions like translation, rotation, and reflection. This indicates that either object may be precisely aligned with the other object by moving and reflecting it, but not by resizing it. So, if we can cut out and then perfectly match up two separate plane figures on a piece of paper, they are congruent.If the matching sides and angles of two triangles are the same length, then the triangles are said to be congruent.To learn more about Congruent Triangles, refer to:
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If triangle ABC with C =90°,if C = 31MM & B equals 57° then a equals
SOLUTION
Step1; Draw the Triangle and locate the angles
We are to obtain the value of a that is the side |BC|
Applying trigonometry ratios we have
[tex]\begin{gathered} \text{hypotenuse}=c=31 \\ \text{Adjacent}=a \\ \theta=57^0 \end{gathered}[/tex][tex]\begin{gathered} \cos \theta=\frac{adjacent}{Hypotenuse} \\ \cos 57^0=\frac{a}{31}\ldots.\text{ cross multiply} \\ a=31\times cos57^0 \end{gathered}[/tex][tex]\begin{gathered} a=31\times0.8999 \\ a=27.89 \end{gathered}[/tex]Then the value of a = 28mm to the nearest whole number
A salaried employee receives an annual salary of $40000. there are 26 pay periods during the year. during the current pay period, She receives a bonus of $200 what is her gross pay for this pay period ?A. $1,938.46B. $1,738.46C. $1,538.46D. $1,338.46
ANSWER:
C. $1,538.46
STEP-BY-STEP EXPLANATION:
To understand the question we must take into account that it is the gross payment, which is the payment received by the employee agreed with the company, without taking into account deductions or bonuses.
Therefore, we calculate it with the total payment divided by the amount of payments, like this:
[tex]\begin{gathered} p=\frac{40000}{26} \\ \\ p=\text{ \$}1538.46 \end{gathered}[/tex]So the correct answer is C. $1,538.46
To mail the envelope first class do US post office charges $.39 for the 1st ounce and $.22 for each additional ounce . use inequality to find the maximum number of whole ounce of that can be mailed for $7.24
Let N be the total amount of whole ounces that are mailed.
Since mailing the first ounce has a cost of $0.39, then there will be N-1 ounces charged for $0.22 each.
The total cost of mailing N ounces will be:
[tex]0.39+0.22\times(N-1)[/tex]If that cost cannot exceed $7.24, then:
[tex]0.39+0.22\times(N-1)\le7.24[/tex]Solve the inequality for N:
[tex]\begin{gathered} \Rightarrow0.22\times(N-1)\le7.24-0.39 \\ \Rightarrow0.22N-0.22\le6.85 \\ \Rightarrow0.22N\le6.85+0.22 \\ \Rightarrow0.22N\le7.07 \\ \Rightarrow N\le\frac{7.07}{0.22} \\ \Rightarrow N\le32.136\ldots \end{gathered}[/tex]Since N must be a whole number, the maximum value of N that satisfies the inequality is 32.
Therefore, the maximum number of whole ounces that can be mailed for $7.24 is:
[tex]32[/tex]Determine whether the following relation is a function. Then state the domain and range of the relation or function.{(7,6), (4,-6), (0,-1), (3,3), (1,1)}Is this relation a function? Choose the correct answer below.A.Yes, because each first component corresponds to exactly one second component.B.No, because each first component corresponds to more than one second component.C.Yes, because each first component corresponds to more than one second component.D.No, because each first component corresponds to exactly one second component.
A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.”
The input values make up the domain, and the output values make up the range.
The relation is given to be:
[tex]\mleft\lbrace(7,6\mright),(4,-6),(0,-1),(3,3),(1,1)\}[/tex]To classify a function, get the input and output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
The input values are: {7, 4, 0, 3, 1}
The output values are: {6, -6, -1, 3, 1}
Therefore, the relation is a function.
The correct option is OPTION A: Yes, because each first component corresponds to exactly one second component.
The domain is:
[tex]\mleft\{7,4,0,3,1\mright\}[/tex]The range is:
[tex]\mleft\{6,-6,-1,3,1\mright\}[/tex]Gor trapezoid HJKL, T and S are midpoint of the legs. If HJ = 14 and LK = 42, find TS.
First, we are going to divide the figure and named new points X and Y as:
Now, we know that TS is the sum of TX and XS.
TS = TX + XS
Adittionally, TX has the same length of HJ, so:
TX = HJ = 14
Now, we want to know the length of YK, and we can calculate it using the following equation:
LK = LY + YK LY is also equal to HJ, so LY = 14
42 = 14 + YK
42 - 14 = YK
28 = YK
Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:
XS = YK/2
XS = 28/2
XS = 14
Therefore, TS is equal to:
TS = TX + XS
TS = 14 + 14
TS = 28
Answer: TS = 28
Use the give right triangle to find ratios. In reduced form, for sin A, cos A, and tan A
From the figure given, if theta = A
opposite = 28 and hypotenuse =53
substitute the values into the formula
[tex]\sin A=\frac{28}{53}[/tex][tex]\cos A=\frac{adjacent}{\text{hypotenuse}}[/tex][tex]\cos A=\frac{45}{53}[/tex][tex]\tan \theta=\frac{opposite}{adjacent}[/tex][tex]\tan A=\frac{28}{45}[/tex]What is the day supply for 30 tablets if the direction is a half tabletsFor 7 days then 1 once daily
Answer:
33 days
Explanation:
If you use a half tablet for 7 days, you will consume:
0.5 x 7 days = 3.5 tablets.
So, at the end of the 7th day, you will consume 3.5 tablets and you will have 26.5 tablets left because:
30 tablets - 3.5 tablet = 26.5 tablets.
Then, you will consume 1 tablet daily, so if you have 26.5 tablets, you will have a tablet daily for 26 days.
Therefore, the day supply for 30 tablets will be the sum of the initial 7 days and the 26 days, so:
7 days + 26 days = 33 days.
Therefore, the answer is 33 days
CALCULATO 11 i You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent. If necessary round your answer to the nearest hundredth. 1 2 3 The probability of spinning blue, flipping heads, then spinning a 1 is
Let:
A = Spinning blue
B = flipping heads
C = Spinning a 1
The probality of spinning blue is given by:
[tex]P(A)=\frac{1}{3}[/tex]The probality of flipping heads is:
[tex]P(B)=\frac{1}{2}[/tex]The probality of spinning 1 is given by:
[tex]P(C)=\frac{1}{3}[/tex]Since they are independent events:
[tex]P(A\cap B\cap C)=P(A)\cdot P(B)\cdot P(C)=\frac{1}{3}\cdot\frac{1}{2}\cdot\frac{1}{3}=\frac{1}{18}[/tex]
I need help with this practice problem solving The subject is trigonometry It asks to graph the functionIf you can, use Desmos to graph… it is recommend
In order to determine the graph of the given function, cosider:
The function f(x) is indetermined when the argument of the cot is 0.
[tex]\begin{gathered} x+\frac{\pi}{6}=0 \\ x=-\frac{\pi}{6} \end{gathered}[/tex]In this case, the period is 2pi. Then, not only for x=-pi/6, but for x=5pi/6 the function is indeterminate.
Then, the graph is:
The Shoe Outlet bought boots for $60 and marks up the boots 55% on the selling price. What is the selling price of the boots?
If the markup is of the 55%, then the selling price will be the 155% of the original price, this means that the selling price is:
S = $93.
What is the selling price of the boots?If the original price is P, and the markup is given by a percentage X, then the selling price of the product will be:
S = P*(1 + X/100%).
In this case, the original price is $60 and the mark up is of 55%, then we have:
P = $60
X = 55%.
S = $60*(1 + 55%/100%) = $60*(1 + 0.55) = $93
The selling price is $93.
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f(x)=1-x when f(x)=2
By solving the equation, we know that f(x) = 1 - x is - 1 when f(x) = 2.
What are equations?In mathematical equations, the equals sign is used to show that two expressions are equal.An equation is a mathematical statement that uses the word "equal to" in between two expressions of the same value.As an illustration, 3x + 5 equals 15.There are many different types of equations, including linear, quadratic, cubic, and others.The three primary types of linear equations are slope-intercept, standard, and point-slope equations.So, f(x) = 1 - x when f(x)= 2:
Solve for f(x) as follows:
f(x) = 1 - xf(x) = 1 - 2f(x) = - 1Therefore, by solving the equation, we know that f(x) = 1 - x is - 1 when f(x) = 2.
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Find the perimeter of LMNPQ if the perimeter of ABCDE = 25.2 cm and ABCDE = LMNPQ
If two polygons are similar with the lengths of corresponding sides, we need to find the ratio between both figures:
Then:
[tex]\frac{SIDE\text{ PQ}}{\text{SIDE DE}}=\frac{25}{15}=\frac{5}{3}=\text{ 1,666}[/tex]So, the ratio is 5:3
The perimeter of LMNPQ is the same to say :
P of ABCDE = 25.2cm
Use the ratio
P of LMNPQ = 25.2 (5/3) cm
Then P = 42 cm
What’s the correct answer answer asap for brainlist
Answer:
your answer is B
Step-by-step explanation:
Germany, Austria-Hungary, Bulgaria, and the Ottoman Empire
2. If 25% of 80 is 10% of a number? What is number?
Given that 25% of 80 is 10% of a number.
We have to find the number.
Let the number be x. So, 25% of 80 is equal to 10% of x. Therefore,
[tex]\begin{gathered} \frac{10}{100}\times x=\frac{25}{100}\times80 \\ 10x=2000 \\ x=\frac{2000}{10} \\ x=200 \end{gathered}[/tex]Thus, the number is 200.
Kristy downloads two songs to her MP3 player. The songs are 3 1/10 minutes and 4 2/3 minutes long. About how many minutes of memory will these two songs use altogether?
We have:
Song 1 = 3 1/10 minutes
Song 2 = 4 2/3 minutes
Minutes of memory of two songs:
[tex]3\frac{1}{10}+4\frac{2}{3}=\frac{31}{10}+\frac{14}{3}=\frac{3\times31+10\times14}{30}=\frac{93+140}{30}=\frac{233}{30}=7\frac{23}{30}[/tex]Answer:
[tex]7\frac{23}{30}\text{ minutes}[/tex]Select the correct answer.If the zeros of a quadratic function are 3 and 8, what are the factors of the function?OA (X + 8) and (x-3)O B. (x-8) and (x+3)OC. (x+8) and (x+3)OD. (x-8) and (x-3)
The zero of x = 3 will be x - 3 = 0
The zero of x = 8 will be x - 8 = 0
Therefore, the quadratic equation will be
(x - 3) and (x - 8)
