Answer:
The width is 3 feet and the height is 6 feet.
Step-by-step explanation:
The box plot represents the distribution of speeds, in miles per hour, of 100 cars as they passed through a busy intersection.
What is the first quartile? Interpret this value in the situation.
About *insert fraction* of the cars going through the intersection were going *Q1* or slower.
Answer:
Step-by-step explanation:
Given,
N= 100
Q1=?
We know that,
Q1= N/4
= 100/4
= 25
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Kings Park Bank is advertising a special 1.66% APR for CDs. Kevin takes out a one-year CD
$24,000. The interest is compounded daily. Find the APY for Kevin's account.
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5.00%
APY for Kevin's account = 1.67%
The interest on a loan or deposit that is computed based on both the original principle and the accumulated interest from prior periods is known as compound interest (also known as compounding interest). Compared to simple interest, which is computed just on the principal amount, it will cause a sum to increase more quickly.
The frequency of compounding determines the pace at which compound interest accumulates. The compound interest increases with the number of compounding periods.
APY = [tex](1 + \frac{r}{n})^{n} - 1[/tex] = [tex](1 + \frac{1.667}{365})^{365} - 1[/tex] = 1.0167 - 1 = 0.0167
APY = 1.67%
Therefore, APY for Kevin's account = 1.67%
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Please answer quick!
Answer:
-67
Step-by-step explanation:
[tex]x=-20 \implies x<-12 \\ \\ \therefore f(-20)=3(-20)-7=-67[/tex]
every year from 2002 to 2014 either joey chestnut of california or takeri kobayashi of japan won the contest. in the five of those years both men completed and the results od the rivalry are shown in the table below. ( after the tie in 2008 joey chestnut won in aan overtime) because the condition of the year natter this is a matched pairs situation witht he twi men going against each year. in a matched pair situation we ise the summary statistica of difference between paris of values
PLEASE SOLVE THIS FOR ME. I ONLY KNOW THAT THE ANSWER WILL HAVE AN X IN IT
Answer: [tex]\boxed{\sqrt{12x-1}}[/tex]
Step-by-step explanation:
[tex]\sqrt{2(6x-3)+5}\\ \\\sqrt{(12x-6)+5} \\\\\boxed{\sqrt{12x-1}} \\\\This\ is\ as\ far\ as\ you\ can\ simplify\ this[/tex]
Please help ASAP!!
Reporting wring answers. Thank you.
Write a problem that uses both multiplication and division
and whose answer is -9. Write the problem and then show the solution.
Answer:
(-27*3) ÷9
Step-by-step explanation:
-27*3=-81
-81/9=-9
A bowl filled with lollipops is 3/4 full. 2/3 of these lollipops are green. What fraction of the full bowl are the green lollipops?
Answer:
1/12
Step-by-step explanation:
All you need to do is subtract 3/4 by 2/3, the difference of those two numbers is 1/12.
Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.
Answer:
(6x) + 9 = 4
Step-by-step explanation:
Times means 'The answer when you multiply' So we are working in multiplication. ( x )
6x is the multiplication.
It says 'more than' which means adding to our answer. So we add 9. So far our equation is: (6x) + 9 (Brackets are needed as we are multiplying 6 by x and not multiplying 6 by x+9)
Lastly, it says the answer must be 4 so we add that at the end. So the answer is:
(6x) + 9 = 4
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
m - 4 = -7m - 8
-8 - 3m = 4 - m
-3m - 8 = 4 - m
-15m = -4m
-7m - 8 = m - 4
-8 - 7m = -4 + m
You can have multiple answers
The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4. Option E
This is further explained below.
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?Generally, the equations equivalence is mathematically given as
-2m - 5m - 8 = 3 + (-7) + m
Therefore
-7m - 8 = 3 + (-7) + m
When we write the equation such that the variable appears on the right-hand side first, we get the following:
-7m - 8 = m - 4
In conclusion, The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4.
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What are Conic Sections and how are they formed?
Answer:
In mathematics, a conic section is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.
Conic sections are formed on a plane when that plane slices through the edge of one or both of a pair of right circular cones stacked tip to tip.
What is the solution to this equation?
x+ 14 = -6
OA. x= -8
OB. x=-20
OC. X = 20
OD. x=8
If x > 3,, which of the following is equivalent to
1
1
1
+
x+ 2 x+3
?
I
If (x > 3), then the simplified form of the expression [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex] will be equivalent to [tex][\frac{x^{2}+5x+6 }{2x+5}][/tex].
As per the question statement, we are provided with a mathematical expression in the form of a fraction which goes as [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex].
We are required to calculate an equivalent simplified form of the above mentioned expression.
To solve this question, we simply have to add the fractions in the denominator part and then perform a reciprocal of the overall fraction, and simplify it further in that format only, to obtain our final desired answer. The process is shown below as:
[tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}]\\=\frac{1}{\frac{(x+3)+(x+2)}{(x+2)(x+3)} } \\=\frac{1}{\frac{(2x+5)}{(x+2)(x+3)} }\\=\frac{(x+2)(x+3)}{(2x+5)} \\=\frac{x^{2}+3x+2x+6 }{2x+5} \\=\frac{x^{2}+5x+6 }{2x+5}[/tex]
Hence, If (x > 3), then the simplified form of the expression [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex] will be equivalent to [tex][\frac{x^{2}+5x+6 }{2x+5}][/tex].
Expression: In Mathematics, expressions are mathematical statements that have at least two terms, comprising of numbers or variables, or both, and being connected by an operator in between.To learn more about Expressions, click on the link below.
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Let f(X)=3√x
if g(x) is the graph of the f(x) shifted down 1 units and left 5 units write a formula for g(x)
g(x)=
g(x) = 3√(x-5) -1
The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.
Horizontal stretching: It means the graph is elongated or shrink in x direction.
Vertical stretching : It means the graph is elongated or shrink in y direction
Vertical translation : It means moving the base of the graph in y direction
Horizontal translation : It means moving the base of the graph in x direction
According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.
Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get
g(x) = 3√x -1
According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.
Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get
g(x) = 3√(x-5) -1
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What is the fractional equivalent of the repeating decimal _
0.5
Answer:
B. 5/9
Step-by-step explanation:
You can just divide 5 and 9 and you get the repeating decimal
(z^1)^2
Its Khan Academy I need help ASAP.
In Euclidean geometry, the interior angles of any triangle add up to 180 degrees. Does this rule apply to triangles in spherical geometry? If not, is there another value that they would always sum to? Explain your answer.
The triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
What is geometry?It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
It is given that:
In Euclidean geometry, the interior angles of any triangle add up to 180 degrees.
As we know,
Spherical trigonometry, which departs from conventional trigonometry in many ways, is created when angles between great circles are defined.
For instance, the total of the sides and angles of a hemispheric triangle is more than 180 degrees.
In spherical geometry, triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
Thus, the triangles are subject to this law. If another number were present, their sum would always be greater than 180 degrees.
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A farmer can plow a given field in 11 hours. If his son helps him, they can plow the vehicle together in 7 hours. How many hours would it take his son to plow the field alone? Express your answer as a fraction reduced to lowest terms, if needed
The total number of hours taken by farmer's son to plow the farm is 19 hours.
What is the concept of time and work?Time refers to the duration of any task or activity that occurs or continues.
Work is a process or set of tasks designed to achieve a specific result.
We can define work happening as follows: - If a person A completes a task in X days, the amount of work finished in 1 day is 1/x.Likewise, if a person B finished work in Y days, his work completed in 1 day will become 1/Y.We can conclude from the preceding two points that A and B can complete (1/(X+Y) amount of work in one day. As a result, A and B could really complete the task in X Y/(X+Y) days.For, the given question;
Let F be the number of hours taken by farmer to finish the work.
Let S be the number of hours taken by farmer' son to finish the work.
The amount of work finished in 1 hour by farmer is 1/F = 1/11.
The amount of work finished in 1 hour by farmer's son is 1/S.
The amount of work finished by both in 1 hours is;
1/F + 1/S = 1/7
1/S = 1/7 - 1/F
1/S = 1/7 - 1/11
Simplifying the given term;
1/S = 4/77
or, S = 77/4 = 19.25 hours.
S = 19 hours (fraction reduced to lowest terms)
Thus, the time taken by the farmer's son to complete the plow of field is 19 hours.
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A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 410410 minutes, the monthly cost will be \$71.50$71.50. If the customer uses 720720 minutes, the monthly cost will be \$118.00$118.00. Use your equation to find the total monthly cost if 687687 minutes are used.
The required cost is $ 101.22.
This problem can be solved by unitary method.
Given that monthly cost of customer if he uses 410 minutes is $71.
So, cost per minute = [tex]\frac{71}{410}[/tex]
=$ 0.17
And if the customer uses 720 minutes then the cost is $118.
So, cost per minute is = [tex]\frac{118}{720}[/tex]
=0.16
Now if he uses 687 minutes then for 410 minutes cost incurred will be
= 410 × 0.17
= $ 69.7
And for next 197 minutes cost incurred will be = 197 × 0.16
= $ 31.52
Total cost for 687 minutes = $(69.7 + 31.52)
= $ 101.22
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2x+1=2x-1 what is x equaled too
Answer:
x ≤ 0 = no solution
Step-by-step explanation:
[tex]\sf (-2x)2x+1-2x=2x-1-2x\\1=-1\\= 0\\No~solution.[/tex]
please help, Solve K-PRT for R.
Answer:
r = [tex]\frac{k}{pt}[/tex]
Step-by-step explanation:
I think that you mean
K = PRT Divide both sides by pr
[tex]\frac{k}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex] On the right sides the pr's on the top and bottom cancel each other out and you are left with
r = [tex]\frac{k}{pr}[/tex]
Help please asap i need it
please help me with this
the correct option is the first one (counting from the top).
The true statement is:
"The leading coefficients of f(x) and g(x) are opposites"
Which statement is true?We know that f(x) and g(x) are quadratic functions, and the sum of these two functions is shown in the graph.
We can see that the sum gives a linear graph, so the terms with the exponents of 2 are cancelled by the sum.
This only can happen if f(x) and g(x) have opposite (same absolute value but different sign) leading coefficients, so the quadratic terms are cancelled when we add the functions.
For example in f(x) = 2*x^2 + 3x + 4
g(x) = -2x + x + 13
If we add these two functions, we would end with a line.
With that in mind we can conclude that the correct option is the first one (counting from the top).
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A town's employment statistics show that 855 of its residents were unemployed last month. This is a decrease of 25% from the previous month. How many residents were unemployed in the previous month?
What is the probability of spinning B on the first spinner and an even number on the second spinner?
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
On the first spinner, there are 3 possible outcomes. Of those 3 outcomes, only one is what we're looking for (Landing on B). This means that the chance to land on B on the first spinner is [tex]\frac{1}{3}[/tex].
For the second spinner, There a 5 possible outcomes, and 2 even numbers on the spinner, meaning the chance to land on an even number is [tex]\frac{2}{5}[/tex].
Since these are independent events, we can simply multiply these numbers together and get [tex]\frac{1}{3}*\frac{2}{5}=\frac{2}{15}[/tex].
Kenna has a 80.3 foot length of pipe to cut into pieces. Each piece must be 9.4 feet long. How many pieces of this length can Kenna get from this one length of pipe?
Step-by-step explanation:
80.3÷9.4
80/3÷9/4
80/3×4/9
26.6×4/9
=17.733
This means that Kenna will get 18 pieces from one lenght of pipe
determine the range of the following graph. PLEASE HELP MEEE
Answer:
-5 ≤ y ≤ 5
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph passes through.
Since the endpoints of the graph are filled in, meaning they include the values they end on, we use the ≥ or ≤ symbols to write the inequality for the range.
The minimum y-value is -5, and the maximum y-value is 5.
The inequality for the range would be -5 ≤ y ≤ 5.
How many times smaller is 5×10-7 than 8.5×10-4
Answer:
Approximately 1.86 times smaller
Step-by-step explanation:
5×10-7 = (5×10=50) = 50-7 = 43
8.5×10-4 = (8.5×10=84) = 84- 4 = 80
80/43 = approximately 1.86
43×1.86 = approximately 80
80/1.86 = approximately 43
negative 19 plus the quantity negative 4 and five tenths plus 6 and 87 hundredths end quantity divided by 3 all times 5 squared minus 7 and 3 tenths
19.6
−18.4
31.45
−6.55
Answer: 19.6
Step-by-step explanation:
Evaluate 4xy for x=1, and y=2
