The reason why the square root of 15 to the nearest tenth is 3.9 is because the square root was rounded off to the tenth digit.
How to round off to tenth?When rounding off to the tenth digit, the decimal will need to be rounded off to number that comes immediately after the decimal.
This means that if the number that is two places after the decimal is 5 or more, the number in the tenth place (one digit after decimal) will be rounded up.
The square root of 15 is:
= √15
= 3.87298
The second number after the digit is 7 which is higher than 5 so the number 8 will need to be rounded up to 9 to get:
= 3.9
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On the axes below,sketch two full cycles of your chosen riders Ferris wheel. Adrianes Ferris wheel goes from 10 feet above the ground to a maximum height of 210 feet and completes one revolution every 90 seconds.
ANSWER
EXPLANATION
First, we have to draw horizontal lines at the minimum and maximum heights. These are 10 feet and 210 feet, respectively.
Then, we calculate the midline,
[tex]y_m=\frac{210ft+10ft}{2}=\frac{220ft}{2}=110ft[/tex]And we have to draw this line too.
As mentioned, the period is the time it takes to do one revolution, which this wheel makes in 90 seconds. Thus, the period is 90 seconds and the first cycle starts at t = 0 and ends at t = 90 s,
Then, we know that the graph is sinusoidal, so we have to draw the first cycle - note that if the period is 90 s, the graph must intersect the midline at 45 seconds,
And finally, draw another cycle just like the first one.
Complete the square for y=x^2 - 6x-5?
Answer: y=(x-3)^2 -14
Step-by-step explanation:
use the formula (b/2)^2 to create a new term to complete the square
please show all work
Given:
[tex]f(x)=3\csc (x+6)-4[/tex]To find:
We need to find the same transformation of the given function.
Explanation:
[tex]\text{Let g(x)=3csc(x) be the parent function of the given function.}[/tex]The function g(x) is translated 6 units right and 4 units down to get f(x).
Consdier the function :
[tex]f(x)=3e^{x+6}-4[/tex][tex]\text{ Let g}\mleft(x\mright)=3e^x\text{ be the parent function.}[/tex]:
[tex]f(x)=3(x+6)^2-4[/tex][tex]\text{ Let g}\mleft(x\mright)=3x^2\text{ be the parent function.}[/tex]Final answer:
The following functions have the same transformation as give f(x0.
[tex]f(x)=3e^{x+6}-4[/tex][tex]f(x)=3(x+6)^2-4[/tex]a pole that is 3.3 m tall casts a shadow that is 1.48 m long. At the same time, a nearby tower casts a shadow that is 36.75 m long How tall is the tower
By using trigonometric relations for right triangles, we will see that the height of the tower is 81.92 meters.
How can we find the height of the tower?
First, we know that a pole with a height of 3.3m casts a shadow of 1.48m. We can see the height of the pole and the length of the shadow as the legs of a right triangle, with that, we can get the angle at which the sun hits the pole (this angle is such that the height will be the adjacent cathetus).
Using the trigonometric relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
We can get:
a = Atan( (opposite cathetus)/(adjacent cathetus))
With taht we can find the angle, where:
opposite cathetus = 1.48m
adjacent cathetus) = 3.3m
Then:
a = Atan(1.48/3.3) = 24.16°
For the tower that angle will be the same one, and again, the height is the adjacent cathetus and the shadow the opposite cathetus, so we can write the same equation than before:
tan(24.16°) = shadow/height.
Solving that for the height we get:
height = shadow/tan(24.16°) = 36.75m/tan(24.16°) = 81.92m
The height of the tower is 81.92 meters.
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Do anybody know his question?
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 32 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 32 miles.
They will walk 12 laps and run 20 laps for a total of 32 miles.
They will walk 14 laps and run 18 laps for a total of 32 miles.
They will walk 10 laps and run 22 laps for a total of 32 miles.
Question 3(Multiple Choice Worth 2 points)
(Three-Column Tables LC)
PART 2
The data below shows the ratio of brown to green crayons in four kindergarten classrooms.
12 to 20
10 to 25
14 to 35
30 to 75
Which table below correctly shows these ratios in a three-column table?
Brown 20 25 35 75
Green 12 10 14 30
Total 32 35 49 105
Brown 12 10 14 75
Green 20 25 35 30
Total 30 35 44 105
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
Brown 12 25 14 30
Green 20 10 35 75
Total 42 35 49 100
Using proportional relationships, it is discovered that they will cover 32 miles overall by walking 12 laps and running 20 laps.
For the second issue, the appropriate response is:
Brown 12 10 14 30
Green 20 25 35 75
Total 32 35 49 105
What is a direct proportional relationship?
In a direct proportional connection, the output variable is determined by multiplying the input variable by the proportionality constant, k, as in the example below:
y = kx.
For the first question, we have that out of a total distance of 8 miles, they:
Walk 3/8 of the distance.
Run 5/8 of the distance.
Hence the proportional relationships for the distances are given as follows:
Walked = 3/8 x Total Distance.
Ran = 5/8 x Total Distance.
For a total distance of 32 miles, the distances walked and ran are given as follows:
Walked: 3/8 x 32 = 3 x 4 = 12 miles = 12 laps.
Ran: 5/8 x 32 = 5 x 4 = 20 miles = 20 laps.
For the second question, we have that the table has to following the given ratios of the first row to the second row, with the third row being the sum of the first two rows, hence the third table is correct.
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-4 3/5÷1 1/5
Answer in simplest form
Answer: -23/6
Step-by-step explanation:
Help me !!!!!!!!! I need this for today
Answer:
Step-by-step explanation:
AC= E
AC= CD
BC= EE
Please write the problems I cant see them well
HELP PLEASE!!
Amy will run more than 33 miles this week. So far, she has run 21 miles. What are the possible numbers of additional miles she will run? Use t for the number of additional miles she will run. Write your answer as an inequality solved for t.
Answer:
21 + t > 33
t > 12
Hope this helps!
Step-by-step explanation:
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
substitute with 10 in the equation
Write - 3 1/4 - 8 1/8 as an addition problem.
Answer:
I don't understand what you mean
which expression would be added to 5x + 7 to make it equivalent to the expression 9(x + 1) (Here are the answer choices.) A. 4x - 6B. 4x + 2 C. 9x + 1 D. 14x + 8
Let the expression we will add be "A", thus we can write:
[tex]5x+7+A=9(x+1)[/tex]We can use the distributive property on the right hand side and then use a bit algebra to solve for "A". The distributive property is shown below:
[tex]a(b+c)=ab+ac[/tex]Let's do the algebra. The steps are shown below:
[tex]\begin{gathered} 5x+7+A=9(x+1) \\ 5x+7+A=9x+9 \\ A=9x+9-5x-7 \\ A=4x+2 \end{gathered}[/tex]Thus, we need to add 4x + 2 to "5x + 7" to make it equal to "9(x+1)".
The correct answer is:
BWrite the following expression using the fewest possible terms.
the expression quantity three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity
negative 71 over 40 times t plus negative 12
71 over 40 times t plus negative 22
21 over 40 times t plus negative 12
21 over 40 times t plus negative 22
The computation of the expression using the fewest possible terms is D. 21 over 40 times t plus positive 22
How to calculate the expression?It should be noted that on Mathematics, an expression is used to show the relationship between the variables that are given or illustrated.
In this case, the expression given is illustrated as three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity.
This will be:
= (3/4t - 5 + 2/5t) - (5/8t + 17)
= (15/20t + 8/20t - 5) - (5/8t + 17)
= 23/20t - 5 - 5/8t + 17
= 46/40t - 5 - 25/70t + 17
= 21/40t + 12
Therefore, the correct option is D.
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U = {1,2,3,4,5,6,7,8,9,10} is the universal set, and P = {1,3,5,7,9}. What is P?
The sets of P is a subsets of the universal sets.
How to solve sets?Sets are defined as the collection of objects whose elements are fixed and can not be changed.
In other words, a set is a collection of elements or numbers or objects, represented within the curly brackets { }. For example a collections of alphabets {a, b, c, d, e, f, g, h}
Therefore, universal set (usually denoted by U) is a set which has elements of all the related sets, without any repetition of elements.
Hence,
universal set = ∪ = {1,2,3,4,5,6,7,8,9,10}
Therefore,
P = {1,3,5,7,9}.
P is a subsets of the universal sets.
The subsets is a part of the universal set.
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(7x)°
(X/2)
Find the value of the variables
Answer:
X/2 = 12
7X = 168
Step-by-step explanation:
180 = X/2 + 7X
180 = 7.5 X
X = 24
show all supported calculations. Write an explanation of your conclusion in a complete sentence.
we know that
cost between $25 us and $40 us
Convert 21,130 RP to US
we have
1 RP=0.0147 US
so
Applying proportion
0.0147/1=x/21,130
solve for x
x=21,130*0.0147
x=310.61 US
so
310.61 US is not in the interval [25 US, 40 US]
that means
Is not a mid range hotelFind the real number solution(s) to the polynomial function f(x) = (x + 9)(x − 5)(x + 7).
a
x = −5, 7, 9
b
x = −9, −7, 5
c
x = −280
d
x = 11
For the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
As given in the question,
Given polynomial function :
f(x) =(x+9)(x-5)(x+7)
Real number solutions for the given polynomial function
f(x) =(x+9)(x-5)(x+7)
Values for which f(x) =0
0= (x+9)(x-5)(x+7)
Equate all the value to zero we get,
⇒ (x+9) =0 , (x-5) =0 , (x+7) =0
⇒ x = -9 , 5, -7
For x= -9 , 5, -7 polynomial function f(x) =(x+9)(x-5)(x+7) value is equal to zero.
Therefore, for the given polynomial function f(x) =(x+9)(x-5)(x+7) the real number solutions are x = -9, -7,5.
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United States Postal Service handled 7.2 x 10¹0 mails in the year 1965. They handled 1.8 x 10¹¹ mails in
the year 1995. How many more pieces of mail were handled by the United States Postal Service in
1995 than in 1965?
4.0 x 10¹
4.0 x 1010
O 5.4 x 10¹0
O 1.08 x 10¹¹
The number of mail were handled by the United States Postal Service in 1995 than in 1965 is 0.4.
Given that, United States Postal Service handled [tex]7.2 \times 10^{10}[/tex] mails in the year 1965. They handled [tex]1.8 \times 10^{11}[/tex] mails in the year 1995.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].
Number of mail were handled by the United States Postal Service in
1995 than in 1965 = Number of Postal Service handled mails in the year 1965 ÷ Number of Postal Service handled mails in the year 1995
= [tex]\frac{7.2 \times 10^{10}}{1.8 \times 10^{11}}[/tex]
= 4 × [tex]10^{-1}[/tex]
= 0.4
Therefore, the number of mail were handled by the United States Postal Service in 1995 than in 1965 is 0.4.
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Mar GE How many pairs of whole numbers have a sum of 40? many pairs of whole numbers
The pairs of whole numbers which have 40 as a sum is 21
What is Whole numbers ?
All natural numbers and 0 are included in the category of whole numbers. They are a subset of real numbers, which exclude negative numbers, decimals, and fractions. Whole numbers include counting numerals as well.
For finding the term we use Arithmetic Progression which is :
a(n) = a + (n - 1)d
where,
a(n) = the nᵗʰ term in the sequence
a = the first term in the sequence
d = the common difference between terms
Given,
The first term a₁ = 0
The common difference d = 1 (from 1 - 0, 2 - 1, etc.)
The last term aₙ = 20
Putting the values in the formula we get,
20 = 0 + (n - 1)1
20 = 0 + n- 1
20 + 1 = n
21 = n
Hence, there are 21 pairs of whole numbers that have a sum of 40
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what is the density of a cube if the mass is 24g
W=2cm
H=2cm
L=2cm
HELP ASAP
Do you think that people are too free in the United States to do and say whatever they want or that there is not enough freedom? Do you feel that Americans have just the right amount of freedom? Explain your answer.
I believe that Americans have just the right amount of freedom.
How to illustrate the information?The First Amendment protects our freedom of speech and association, so the government cannot stop us from writing or speaking what we choose. We also have the right to create clubs and groups and participate in protests and rallies.
As long as you don't "materially and substantially" interrupt classrooms or other school activities, you have the right to voice your ideas. School administrators can disperse you if you stage a demonstration on the steps of the building and block the entrance. Additionally, they may be able to prevent you from using words that they deem to be "vulgar or indecent."
The above shows that despite the right of freedom, it's important to checkmate what people do.
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In a country, the highest temperature ever recorded was 110°f and the lowest temperature was -28°f. Find the difference between the highest and lowest temperatures.
We have the temperature points measured on the Fahrenheit scale.
The highest point is 110°f
The lowest point is -28°f
The difference between the two points would be as follows
[tex]110-(-28)=138[/tex]In conclusion, the difference is 138°f
In the figure below, Z is the center of the circle. Suppose that QR=14, ST=14, UZ=3x+5, and VZ=23. Find the following.
S
Z
W
R
X =
0
TV = 0
8 08
X
S
The value of x is given by 6 units and the value of TV is given by 7 units.
A circle may be defined as a closed loop which has a fixed point around which the loop is made called the center and the fixed distance from the center of the circle to its periphery is known as the radius of the circle. We are given a circle with center at Z. In the circle QR and ST are the chords such that QR = ST = 14 that is both are of equal length, and we know that equal chords are at equal distance from the center. Therefore,
VZ = UZ
23 = 3x + 5
18 = 3x
=> x = 18/3
=> x = 6 units.
Now, we also know that perpendicular drawn from center of the circle to the chord bisects the chord. Thus,
TV = (1/2)×ST
TV = (1/2)×14
TV = 7 units.
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What does x equal? 5(x − 1) = 5x -1
Answer:
Nothing ( 0 )
Step-by-step explanation:
5(x - 1) = 5x - 1
5x - 1 = 5x - 1
5x - 5x = 1 - 1
0 = 0
What is the solution, if any, to the inequality 3-|4-n| >1
A. no solution
B. all real numbers
C. n > 2 or n < 6
D. 2 < n < 6
The solution of given inequality 3-|4-n| >1 is 2<n<6.So option D is correct.
An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
The given inequality is 3 - |4-n| > 1
Since |4-n| is the absolute value
Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
So ( 4-n ) may be negative or positive.
For positive value of ( 4-n )
3-( 4-n ) > 1
3-4+n>1
n>2
For negative value of (4-x)
3+( 4-n )>1
3 + 4-n >1
7 - n > 1
-n> 1 -7
-n > -6
n < 6
Hence, 2 < n < 6 i.e. option D is the solution to the inequality 3-|4-n| >1.
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Answer: d
Step-by-step explanation:
Need help with this !!!!
y = - 4x + - 8 is equation of slope-intercept form.
What is in slope-intercept form?
Given the slope of the line and the intercept it forms with the y-axis, one of the mathematical forms used to derive the equation of a straight line is called the slope intercept form. Y = mx + b, where m is the slope of the straight line and b is the y-intercept, is the slope intercept form.the equation of slope - intercept form
y = mx + c
( -1 , -4 ) is point shown in graph
slope = -y/x
= - ( -4)/-1 = 4/-1 = -4
- 4 = -4 * - 1 + c
- 4 = 4 + c
c = - 4 - 4 = - 8
put value of c in the equation of slope - intercept form
y = - 4x + - 8
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Match the letters with the numbersNote:multiple graphs will be used for each problem. Meaning a problem will have more than one graph to match withNote:it’s like matching the numbers with letters
A function is said to be an odd function if its graph is symmetric with respect to the origin.
Examples of odd functions are;
The odd functions are; C, D E, H, J, K, N
Your mom has you go to the store to buy oranges and apples. Oranges cost $0.50 each, and apples cost $1.00. Your mom gives you $10. Write an equation that represents the number of oranges and apples you can buy with the money you have.
Let x represent the number of oranges you will buy.
Let y represent the number of apples you will buy.
E = {2, 4, 6, 10} is a subset of which of the following sets?Question 3 options:C = {1, 2, 3, 4, 5, 7, 8, 9, 10}B = {2, 4, 6}A = {1, 2, 4, 7, 10, 11, 9, 6}D = {4, 6, 8, 10, 12, ...}
Given:
[tex]E=\lbrace2,4,6,10\rbrace[/tex]Required:
We need to find the set that has the subset E.
Explanation:
Recall that a set A is a subset of another set B if all elements of set A are elements of set B.Consider the set A = {1, 2, 4, 7, 10, 11, 9, 6}.
Element 6 from E is not an element of A.
Set E is not a subset of set A.
B = {2, 4, 6}.
7B
Set E is not a subset of set B
D = {4, 6, 8, 10, 12, ...}
2D
D.
C = {1, 2, 3, 4, 5, 7, 8, 9, 10}
Set C has all the elements of E.
C
Final answer:
need help with this question
Determine whether each of these sets is countable or uncountable.
(a) all bit strings that is finite.
(b) all bit strings that is infinite
(c) the real numbers containing a finite number of 1s in their decimal
representation (reminder: the real numbers can contain a infinite
number of 2s or 3s)
(d) the real numbers containing only 1s in their decimal representation