Answer:
17.5 in
Step-by-step explanation:
Step one:
given
The perimeter of a rectangle is 53 inches
let the two shorter sides be the width w
so w+w= 18in
the two longer sides is L
L+L=2l
Step two:
but the expression for the perimeter of a rectangle is
P=2W+2L
53= 18+2L
53-18=2L
35=2L
divide both sides by 1
L=35/2
L=17.5
Evaluate 1.8 raised to the seventh power divided by 1.8 raised to the sixth power, all raised to the second power. 1 1.8 3.24 3.6
The value is 3. 24. Option C
What is index form?Index form is defined as the power or exponent that is raised to a number or a variable.
From the information given, we have the expression to be represented as;
[tex](\frac{(1.8)^7}{1. 8^6} )^2[/tex]
Now, we have to expand the exponential value of the bracket, we have;
[tex]\frac{(1. 8)^7^*^2}{(1. 8)^6^*^2}[/tex]
expand the bracket
[tex]\frac{(1.8)^1^4}{(1.8)^1^2}[/tex]
Using the laws of laws of indices, take the inverse of the denominator
(1. 8)^14-12
(1. 8)²
3. 24
Thus, the value is 3. 24. Option C
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Answer:
3.24
Step-by-step explanation:
What if the large ferris wheel makes one revolution in 10 seconds and the small wheel makes one revolution in 7 seconds, how many revolutions will each ferris wheel need to complete before you and your sister are at the bottom at the same time?
For you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.
Time taken by the large Ferris wheel to complete 1 revolution = 10 seconds.
Time taken by the small Ferris wheel to complete 1 revolution = 7 seconds.
For them to reach bottom at the same time, we need to calculate their least common multiple.
LCM of 10 and 7 will be :
LCM = 10 × 7 = 70 seconds.
Revolutions taken by large Ferris wheel will be = 70 / 10 = 7 revolutions.
Revolutions taken by small Ferris wheel will be 70 / 7 = 10 revolutions.
Therefore, for you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.
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25 points plus brainliest
Answer:
0
Step-by-step explanation:
help me please I have a few minutes left
Answer:
.
Step-by-step explanation:
1st option. -27. is the answer
Answer: -22.5
Step-by-step explanation:
-12.5+(-10)=
-12.5-10=
-22.5
Or an airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed? simplify your answer and write it as a proper fraction, mixed number, or whole number.
The airplane that cruises 1 kilometer in 1/12 of a minute has a speed of 12 km/min
The formula and procedure we will use to solve this problem is:
v = x/t
Where:
x = distancet = timev = velocityInformation about the problem:
x =1 kmt = 1/12 minv =?Applying the velocity formula, we get:
v = 1 km/ (1/12 min)
v = (1 km * 12) / 1 min
v = 12 km/ 1 min
v = 12 km/min
What is velocity?It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).
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the triangles are similar
Find x
62+90+x=180
152+x=180
x=28
28
If the two tringles are similar they will have equal angles
and it is also right angle try angle this means we have two angles given
90,62
the mesurement of triangle is 180 so to find x we will
90+62+x=180
x=180-90+62
x=180-152
x=28
Simplify (step by step)
(-2)(-3) - (8)(-3) + (9)(-2)
Answer:
12
Step-by-step explanation:
Please help me please help
Answer:
Step-by-step explanation: ok so divide by 647
The perimeter of the polygon with the vertices. U(-2,4), V(3,4), W(3,-4). Round your answer to the nearest hundredth.
The Perimeter of the polygon = 22.43 units.
How to Determine the Perimeter of a Polygon?Given the vertices of the polygon as:
U(-2,4)V(3,4)W(3,-4)The perimeter of the polygon is the sum of all its sides, UV + VW + UW.
Apply the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find the length of each of the three sides of the polygon as shown below:
UV = √[(3−(−2))² + (4−4)²]
UV = √[(5)² + (0)²]
UV = √25
UV = 5 units
VW = √[(3−3)² + (4−(−4))²]
VW = √64 = 8 units
UW = √[(−2−3)² + (4−(−4))²]
UW = √89 = 9.43 units
Perimeter of the polygon = 5 + 8 + 9.43
Perimeter of the polygon = 22.43 units
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Solve for x
3х+4=12+3x
Answer:
Please mark my answer as the brainliest, it would mean a lot to me
There is no anser, 0 can't equal 8
Step-by-step explanation:
3x + 4 = 12 + 3x
3x = 8 + 3x
0 = 8
NO ANSWER
5. Charnita Jones earns $304.80 per week as a sales assistant. Next week she will be
promoted to assistant manager. She will then earn $332.50 per week. She is single
and claims 1 allowance. How much more will she pay in federal income tax?
Charnita Jones will have to pay $5 more in federal income tax.
According to the question we have been given that Charnita Jones
As sales assistant she earned = $304.80
After promotion as assistant manager she will earn = $332.50
Number of allowance she claims = 1
We need to find how much more she will pay in federal income tax.
For that we will first calculate how much she paid when her earning was $304.80. For this we will use the table for single persons-weekly payroll period. In that table, first we will choose the row of wages from the column number 1. We look to that row where $304.80 will lie that is the row will be $300-$310. then we will look for allowance that is 1. Thus the tax she will pay will be in column of allowance 1 and in the row of $300-$310 is $22.
In similar way we will find out the tax she will pay when she earn $332.50 which is $27.
Difference = $27 - $22 = $5
Hence she will have to pay $5 more in federal income tax.
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Find the perimeter of the polygon.
37
54
48
perimeter is just all sides added so the answer would be 37+54+48 = 139
Which graph represents the equation.
Answer: The one that has a picture to itself
Step-by-step explanation:
Use desmos its a free online graphics calculator for graphs. etc
Ingrid types 3 pages in the same amount of time that Tanya types 4 pages. If Ingrid and Tanya start typing at the same time, how many
If the grid and tanya start typing at the same time, tanya have typed 14.67 pages.
What is the ratio?A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.
Now it is given that,
Pages typed by Ingrid = 3
Pages typed by Tanya = 4
So, the ratio of pages, Ingrid : Tanya = 3 : 4
So, If the grid and tanya start typing at the same time Ingrid has typed 11 pages
Thus, dividing the ratio be 3 we get,
3 : 4 = 1 : 1.33
Now for 11 pages multiplying 1.33 with 11 we get,
1.33 x 11 = 14.67
Thus, If the grid and tanya start typing at the same time, tanya have typed 14.67 pages.
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The Complete question is,
Ingrid types 3 pages in the same amount of time that tanya types 4 pages. If the grid and tanya start typing at the same time how many pages will tanya have typed when ingrid has typed 11 pages ?
Simplify.
[tex]\frac{-4+6}{2}[/tex]
Answer:
[tex]\sf\frac{-4+6}{2}[/tex] = 1
Step-by-step explanation:
Let's solve the problem,
→ (-4 + 6)/2
→ 2/2 = 1
Hence, the solution is 1.
Mr. Zuro finds the mean height of all 16 students in his statistics class to be 67.0 inches. Just as Mr. Zuro finishes explaining how to get the mean, Danielle walks in late. Danielle is 63.6 inches tall. What is the mean height of the 17 students in the class?
Answer:
66.8 inches
Step-by-step explanation:
The mean height of 16 students is 67.0"
Total height of 16 students = 67 x 16 = 1,072"
When Danielle walks into the class an additional height of 63.6" is added to the total and the new total becomes 1072 + 63.6 = 1135.6"
Since there are now 17 students, mean = 1135.6/17 = 66.8"
100 POINTS!!!
The wavelength of the color red is about 6.5×10^−9 m. The wavelength of the color blue is about 4.75×10^−9 m. Show that the wavelength of red is longer than the wavelength of blue.
Pls answer asap 100 points
Step-by-step explanation:
To tell if something is longer than another object is to find the difference between the two objects.
If the difference is < 0, then the object is shorter
If the difference is = 0, then the objects are equal in length
If the difference is > 0, then the object is longer
[tex]6.5 * 10^{-9}[/tex] - [tex]4.75 * 10^{-9}[/tex] = [tex]1.75*10^{-9}[/tex]
The difference is > 0, so the wavelength is longer.
Which angles are shown in the diagram?
{(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}
Domain and Range
The Domain of a relation is the set of all allowable inputs. It is all the x-values in the (x, y) points determined by the relation.
The Range of a relation is the set of the resulting outputs. It is all the y-values in the (x, y) points determined by the relation.
Now, the given relation is {(2, 1). (-4, 5), (1, 7), (2, -3), (-1,2)}
The Domain of the given relation will be
= {2, -4, 1, -1}
And the Range of the relation will be
= [1, 5, 7, -3, 2]
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What is the average rate of change of the function f(x)=x2–5x+14 on the interval from x=3 to x=5?
Answer:
3
Step-by-step explanation:
To find the average rate of change from two points: [a, b] we generally use the slope equation, which can be represented as: [tex]\frac{f(a)-f(b)}{a-b}[/tex]
So here let's first calculate f(3) and f(5)
[tex]f(3)=(3)^2-5(3)+14\\f(3)=8\\\\f(5)=(5)^2-5(5)+14\\f(5)=14[/tex]
Now let's plug these values into the equation: [tex]\frac{f(5)-f(3)}{5-3}[/tex]
To get the equation: [tex]\Longrightarrow \frac{14-8}{5-3}=\frac{6}{2}=3[/tex]
in a recently published sociology article about transportation patterns, a sociologist studied whether families rely on their own transportation instead of public transportation. let the mean number of cars owned by a family be μ. if the sociologist wanted to know if families own, on average, more than 3 cars, what are the null and alternative hypotheses?
The null hypothesis is [tex]H_0:\mu=3[/tex] and the alternative hypothesis is [tex]H_1:\mu > 3[/tex]
There are two hypothesis considered in a statistical test. They are:
Null hypothesis ([tex]H_0[/tex])Alternative hypothesis ([tex]H_1[/tex])Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.
Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.
Here the sociologist is carrying out the test on the mean number of cars, [tex]\mu[/tex].
So to check whether the families own more than 3 cars in average,
the null hypothesis will be ,[tex]\bold{H_0:\mu=3}[/tex]
and the alternate hypothesis will be, [tex]\bold{H_1:\mu > 3}[/tex]
So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.
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Maddie scored 2 fewer than triple the number of points Crystal scored in their basketball game. Together the girls scored 30 points. Let
m = the points Maddie scored, and c = the points Crystal scored. Which system can be used to find the number of points each girl
scored?
The system of equations that is used to find how many points each girl scored is given as follows:
m = 3c - 2.c + m = 30.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable m: number of points scored by Maddie.Variable c: number of points scored by Crystal.Maddie scored 2 fewer than triple the number of points Crystal scored in their basketball game, hence:
m = 3c - 2.
They scored 30 points in total, hence:
c + m = 30.
Thus, the system is given by:
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You average 55 miles per hour while driving to a relative's house. On the return trip, you average 50 miles per hour because of bad weather. The total driving time is 5 hours and 15 minutes. How long does each trip take?
We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.
How long does each trip take?
Remember the relation:
Distance = Speed*Time.
Here the total distance of the trip is 55mi + 50mi = 105mi
And the total time is 5 hours and 15 minutes, remember that:
60 min = 1 hour
Then; 15 min = 0.25 hours.
So the total time is 5.25 hours, with that we conclude that the average speed is:
S = 105mi/5.25 h = 20 mi/h
The first trip is 55 miles long, then the time in which it is travelled is:
T = (55 mi)/(20 mi/h) = 2.75 hours
The second trip is 50 miles long, then:
T' = (50mi)/(20 mi/h) = 2.5 hours.
We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.
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Can someone please help me with this? I am not good at Algebra
Reward: 2 ppl answer 1s person gets a brainly, thanks on ur page, and a follow
Wrong Answers will get reported and so will nonsense
How do I get five with with two sevens one 9 and one three ans can use the same number twice.
2 Sevens take that 2 and subtracts is by 7 like this 7 minus 2 which is five
HELP.........................! !
Answer:
[tex] \sf \large \: −6.23[/tex]
Step-by-step explanation:
2.67−8.9
=2.67+−8.9
=−6.23
Write the algebraic expression for the sum of k and l divided by the sum of d and e pill
The algebraic expression for the sum of (k) and (l) divided by the sum of (d) and (e) is: (k + I) / (d + e) =
To solve this problem, we have to state the equation using the information of the problem:
Algebraic Expression:
"the sum of (k) and (l) divided by the sum of (d) and (e)"
(k + I) / (d + e) =
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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give at least one physical explanatgion for nay difference between the actuial number of beans in the container and theh number of beans determined by the expierment
The number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in the jar is not identical.
Given that,
To give at least one physical explanation for nay difference between the actual number of beans in the container and the number of beans determined by the experiment.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let's assume we have 1 kg o bean in a jar but the weight of all the individual bean are not the same, that's why the number of bean in physical counting differs from the number of beans calculated from the calculation in an experiment,
Thus, the number of beans calculated by physical counting and by calculating the number of beans could always be different unless the bean in a jar is not identical.
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Mary and Julie are trying to raise $1000,mary raises $12 every 4 days, Julie raises $19 every six days.who reaches the goal first?explane
The person who first reaches the goal is Julie because she raise more than the amount Mary raise per day
Equation to determine who reaches the goal firstTheir goal = $1000Mary
Every 4 days = $12Amount by raised per day = $12/4= $3
Julie:
Every 6 days = $19Amount earned per day = $19 / 6= $3.17
Therefore, the person who reaches the goal first between Mary and Julie is Julie
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
The slope of the line = rise/run = 2/3.
How to Determine the Slope of a Line?To determine the slope of a line, we can find the ratio of the rise of the line to that of its run.
Therefore, slope (m) of a line = rise/run.
Rise = vertical distance across the line
Run = horizontal distance across the line
In the graph given, we have:
Rise is the blue line = 6 units
Run is the red line = 9 units
Slope of the line (m) = 6 units/9 units
Slope of the line (m) = 2/3
Therefore, In simplest form, the slope of the line = rise/run = 2/3.
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