Answer:
31/2
Step-by-step explanation:
hope this helps!
I'm solving for UW. And we're using pythagorean theorem.
Answer:
6^2+x^2 = 9^2x^2 = 9^2-6^2 = 81-36 = 45
x = √45
UW = √45 ft
A toy jet is 4 inches in length. And it's made using the scale 1 inch = 12.25 feet. What is the length of the actual jet?
Answer:
It is 49
Step-by-step explanation:
multiply 12.25 by 4 since 1 inch is 12.25 and 4 inches times 12.25 is 49
3. The graph shows the Millennium Falcon traveling from Jakku to Takodan.
What is the average speed of the Millennium Falcon on this journey?
How many whole numbers are on the highlighted part of a number line?
Bottles of sparkling water usually cost $1.69 each. This week they are on sale for 4 for $5. How much would it cost to pay for 4 bottles of water LAST week?
Answer:
$6.76
Step-by-step explanation:
the screen size of a television is determined by the length of the diagonal of the rectangular screen. Traditional TVs come in a 4:3 format, meaning the ratio of the length to width of screen is 4 to 3. what is the area of a 27-inch traditional tv screen? what is the area of a 27 inch LCD tv who's screen is in a 16:9 format? which screen is larger
Answer:
Area of 27" 4:3 screen = 349.92 square inches
Area of 27" 16:9 screen ≅ 311.5 square inches
Traditional 4:3 screen is larger
Step-by-step explanation:
The Traditional TVs is larger than LCD tv screen
What is diagonal of rectangle?The diagonal of a rectangle is a line segment that joins any two of its non-adjacent vertices.
The length of diagonals of a rectangle can be calculated as:
Diagonal of rectangle = [tex]\sqrt{Length^{2} + Breath^{2} }[/tex]
According to the question
The screen size of a television is determined by the length of the diagonal of the rectangular screen.
Traditional TVs
Ratio of the length to width = 4:3
Let a be the constant for both length and width
therefore
Length of Traditional TVs = 4a
Width of Traditional TVs = 3a
The area of a 27-inch traditional tv screen
i.e
Diagonal of Traditional TVs = 27
Now applying formula of diagonal of rectangle
Diagonal of rectangle = [tex]\sqrt{Length^{2} + Breath^{2} }[/tex]
substituting the values
27 = [tex]\sqrt{(4a)^{2} + (3a)^{2} }[/tex]
27 = [tex]\sqrt{16a^{2} + 9a^{2} }[/tex]
27 = [tex]\sqrt{25a^{2} }[/tex]
27 = ± 5a
a cannot be -ve
a = 5.4
now,
Length of Traditional TVs = 4* 5.4 = 21.6 inches
Width of Traditional TVs = 3 * 5.4 = 16.2 inches
Area of Traditional TVs = Length * width
= 21.6 * 16.2
= 349.92 [tex]inches^{2}[/tex]
LCD TVs
Ratio of the length to width = 16:9
Let a be the constant for both length and width
therefore
Length of LCD TVs = 16a
Width of LCD TVs = 9a
The area of a 27-inch LCD TVs screen
i.e
Diagonal of LCD TVs= 27
Now applying formula of diagonal of rectangle
Diagonal of rectangle = [tex]\sqrt{Length^{2} + Breath^{2} }[/tex]
substituting the values
27 = [tex]\sqrt{(16a)^{2} + (9a)^{2} }[/tex]
27 = [tex]\sqrt{256a^{2} + 81a^{2} }[/tex]
27 = [tex]\sqrt{337a^{2} }[/tex]
27 = ± 18.357a
a cannot be -ve
a = 1.47
now,
Length of LCD TVs = 16*1.47 = 23.53
Width of LCD TVs = 9*1.47 = 13.23
Area of Traditional TVs = Length * width
= 21.6 * 16.2
= 311.30 [tex]inches^{2}[/tex]
Hence, the Traditional TVs is larger than LCD tv screen .
To know more about diagonal of rectangle here:
https://brainly.com/question/26044249
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Select the expression that is equivalent to 2x3+11x2−21xx2+3x for x ≠ −3 or 0 .
Answer:
[tex]\frac{(2x-3)(x+7)}{x+3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2x^3+11x^2-21x}{x^2+3x}[/tex]
Required
Select equivalent expression
[tex]\frac{2x^3+11x^2-21x}{x^2+3x}[/tex]
Factorize the numerator and denominator
[tex]\frac{x(2x^2+11x-21)}{x(x+3)}[/tex]
Divide by x/x
[tex]\frac{2x^2+11x-21}{x+3}[/tex]
Expand the numerator
[tex]\frac{2x^2+14x-3x-21}{x+3}[/tex]
Factorize the numerator
[tex]\frac{2x(x+7)-3(x+7)}{x+3}[/tex]
[tex]\frac{(2x-3)(x+7)}{x+3}[/tex]
Hence, the equivalent expression is:
[tex]\frac{(2x-3)(x+7)}{x+3}[/tex]
1. In the following statement, express the first number as a percentage of the second number.
The full-time year-round median salary for U.S. men in 2010 was $42,900, and the full-time year-round salary for U.S.
women in 2010 was $35,500.
% of the full-time year-round median
The full-time year-round median salary for U.S. men in 2010 was
salary for U.S. women in 2010.
(Round to the nearest tenth as needed.)
9514 1404 393
Answer:
120.8%
Step-by-step explanation:
Maybe you want to find $42,900 as a percentage of $35,500.
That is ...
42900/35500 × 100% = 120.8%
__
Comment on the question
The question is easier to read if you don't shuffle the phrases. Copying and pasting often requires a check and edit step afterward.
PLEASE HELP! Christy rolls a number cube and then chooses a card from a set numbered 1 through 9. What is the probability that she will roll an even number and choose an odd card?
Make sure to show your setup and your answer for credit.
THANK YOU SO SO SO SO MUCH!
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 290 engines and the mean pressure was 7.6 pounds/square inch (psi). Assume the population standard deviation is 0.8. The engineer designed the valve such that it would produce a mean pressure of 7.5 psi. It is believed that the valve does not perform to the specifications. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
z(s) = - 2,15 We accept H₀
Step-by-step explanation:
Assume Normal Distribution.
Sample size n = 290
Sample mean μ = 7,6
Sample standard deviation s = 0,8
Level of significance 0,02 ( CI = 98 % )
population mean μ₀ = 7,5
α = 0,02 the valve could fail under and above the spec value ( 7,6 ) therefore we must develop a two-tail test
α/2 = 0,01
Hypothesis Test
Null hypothesis H₀ μ = μ₀
Alternative Hypothesis Hₐ μ ≠ μ₀
for α = 0,01 z(c) = - 2,3
To calculate z(s)
z(s) = ( μ - μ₀ ) / s/√n
z(s) = ( 7,5 - 7,6 ) /0,8/√290
z(s) = - 0,1 * 17 /0,8
z(s) = - 1,7 / 0,8
z(s) = - 2,15
Comparing z(s) and z(c)
- 2, 15 < - 2,3
|z(s)| < | z(c)|
Then z(s) is in the acceptance region. We don´t have evidence to reject H₀
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $9 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $16 monthly fee and charges an additional $0.09 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal
Answer:
the number of minutes of call when the two cost plans would be equivalent to each other is 175 minutes
Step-by-step explanation:
The computation of the number of minutes of call when the two cost plans would be equivalent to each other is shown below:
Let us assume the number of minutes be x
Now the equation is
$9 + 0.13x = $16 + $0.09x
0.13x - 0.09x = $16 - $9
0.04x = $7
x = $7 ÷ 0.04
= 175 minutes
Hence, the number of minutes of call when the two cost plans would be equivalent to each other is 175 minutes
A kangaroo hops 2 kilometers in 3 minutes at this rate how far does the kangaroo travel in 2 minutes
Answer:
2 1/2 or 2 and a half
Step-by-step explanation:
if you divide it it will come out to be that (I hope its right but i don't know if it is
Answer to this question: "A kangaroo hops 2 kilometers in 3 minutes at this rate how far does the kangaroo travel in 2 minutes"
2.50
Which of the following decimals is greater than .4 and less than .65? Select all that apply. *
0.06
0.76
0.41
0.37
0.5
Answer:
0.41 and 0.5 are both greater than .40 and less than .65
Step-by-step explanation:
can someone tell me if is this a function or not?
Answer:
Yes, it is a function.
Step-by-step explanation:
As long as there are no more than one point in a single x-value, it is considered a function.
Find the slope and y-intercept of this line
Answer:
Step-by-step explanation:
i would love to help but there is no line
Estimate the difference of 450.012 and 57.876 to the nearest hundredth. A. 392.1 B. 392.13 C. 392.136 D. 392.14
Answer:
C
Step-by-step explanation:
Sorry if im wrong i tried my best
Answer:
450.012 - 57.876 = 392.136
392.136 rounds to 392.14,so your answer would be D
3. An aspirin tablet weights 0.5 grams. How many ounces does it weigh?
4. How many milligrams does an aspirin tablet weigh?
Represent each division problem as a fraction AND a decimal.
Answer:
1. fraction=51/94
decimal= 51/94 a decimal is approximate: 0.54255 (Rounded to fifth decimal place)
2. fraction= 2/8
decimal= 2/8 as a decimal is 0.25.
3. fraction= 75/5
decimal= 75/5 as a decimal is 15.
Answer:
sorry i could only answer the first one hope it helps as a decimal 0.54255
Step-by-step explanation:
aswdqr4f 4crd
Stephanie has a 3⁄4 pound bag of sand that she will pour into 4 vases. Each vase will have the same amount of sand. How many pounds of sand will each vase have? Write your answer as a fraction.
Answer:
3/16 pound
Step-by-step explanation:
hope it helps the picture show how its done
Translate into an inequality or equation and solve: A number "n" minus 6 is no greater than 20. Write and
solve an equation or inequality.
Answer:
Therefore, n is smaller than 26 (n < 26).
Step-by-step explanation:
First, you have to form an inequality. With the given informations, the inequality will be :
[tex]n - 6 < 20[/tex]
Next, you have to solve it, by adding 6 to both sides :
[tex]n - 6 < 20[/tex]
[tex]n - 6 + 6 < 20 + 6[/tex]
[tex]n < 26[/tex]
Answer:
N-6≤20 N≤26
Step-by-step explanation:
n-6≤20
n-6=20
+6 +6
n≤26
FAST
Which statements about the system are true? Select two options
Y=1/3x-4 3y-x=-7
The system has one solution
The system consists of parallel lines
Bothsire tave the same slope,
Both ties have the same y-Intercept
The equations represent the same line
Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :
[tex]y=\dfrac13x-4[/tex]
[tex]3y-x=-7[/tex]
Substitute [tex]y=\dfrac13x-4[/tex] in [tex]3y-x=-7[/tex], we get
[tex]3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7[/tex] , which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
What is the equation of the line that is parallel to the line y = 2x + 3 and
passes through the point (-2, 1)?
O A. y = 2x + 5
O B. y--3x+2
O C. y=-3x
O D. y = 2x-5
Select all the rates that are unit rates.
113
231
23
31
19
Answer:
[tex]\frac{2/3}{1}[/tex] and [tex]\frac{3}{1}[/tex]
Step-by-step explanation:
Options
[tex]\frac{1}{1/3}[/tex] [tex]\frac{2/3}{1}[/tex] [tex]\frac{2}{3}[/tex] [tex]\frac{3}{1}[/tex] [tex]\frac{1}{9}[/tex]
Required
Select the unit rates
Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)
For clarity:
If [tex]\frac{a}{b}[/tex] represents unit rate, then [tex]b = 1[/tex]
Having said that:
Only [tex]\frac{2/3}{1}[/tex] and [tex]\frac{3}{1}[/tex] satisfy the condition of unit rates; others are not because they have a denominator other than 1
Pleaseeeee help I’m doing terrible in math I need help
Answer:
option 1
Step-by-step explanation:
because i am confident
i really need help on this:3 2/4+ 2 3/4+ 2 3/4+ 2 1/4+ 1 1/4+ 1
Answer:
15
Step-by-step explanation:
3 2/4+ 2 3/4+ 2 3/4+ 2 1/4+ 1 1/4+ 1
first add the whole numbers so 3+2+2+2+1+2=12
then we are left with the fractions. 11/4 divides into 2 with a remainder of three so we add it to the top.
From here we have 2/4+3/4+3/4+1/4+3/4
add them together and we get 12/4=3. Then add back our whole numbes to get 12+3=15
what is F?
H is 5m
I is 8m
G is 10m
Answer: F is 11m.
Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.
Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type a whole number.)
A. 874÷23=?
B. 874÷23=? R ?
In the answer B the reason why i put an R is because they it also asks for an a remainder. And plz take ur time on this i'm in no rush and DONT JUST BE HERE FOR POINTS.! So plz help me on this and take ur time plz. I'll help u with anything u need.<3
Answer: 38 think
Step-by-step explanation:
Answer:
ok so
Step-by-step explanation:
874÷23=38
yw:)
One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.
The coordinates of Q are:
The coordinates of R are:
The slope of MN is:
The slope of PR is:
The line segments are (select)
MN =
PR =
Answer:
See the proof below
Step-by-step explanation:
Given the following coordinates
P(2, −1)
Midpoint of PQ M(3, 0)
We can get the coordinate point Q using the midpoint formula;
M(X,Y) = (x1+x2/2, y1+y2/2)
X = x1+x2/2
3 = 2+x2/2
6 = 2+x2
x2 = 6-2
x2 = 4
Y = y1+y2/2
0 = -1+y2/2
0 = -1 + y2
y2 = 0+1
y2 = 1
Hence the coordinate of Q is (4, 1)
Next is to get the coordinate of R
Given the midpoint of QR to be N(5, 3)
(5,3) = (4+x2/2, 1+y2/2)
5 = 4+x2/2
10 = 4+x2
x2 = 10-4
x2 = 6
1+y2/2 = 3
1+y2 = 6
y2 = 6-1
y2 = 5
Hence the coordinate of R is (6,5)
Given the coordinates M(3, 0) and N(5, 3)
Slope is expressed as:
m = y2-y1/x2-x1
m = 3-0/5-3
m = 3/2
Slope of MN = 3/2
Get the slope of PR
Given the coordinates P(2, −1) and R (6,5)
Slope of PR = 5-(-1)/6-2
Slope of PR = 5+1/4
Slope of PR = 6/4 = 3/2
Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR
To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:
For MN with coordinates M(3, 0) and N(5, 3)
MN = √(x2-x1)²+(y2-y1)²
MN = √(5-3)²+(3-0)²
MN = √2²+3²
MN = √13
Get the length of PR where P(2, −1) and R (6,5)
PR = √(6-2)²+(5+1)²
PR = √4²+6²
PR = √16+36
PR = √52
PR = √4*13
PR = √4*√13
PR = 2√13
Since MN = √13
PR = 2MN
Divide both sides by 2
PR/2 = 2MN/2
PR/2 = MN
Hence MN = 1/2 PR (Proved!)
A sample of a radioactive isotope had an initial mass of 540 mg in the year 1991 and decays exponentially over time. A measurement in the year 1996 found that the sample's mass had decayed to 420 mg. What would be the expected mass of the sample in the year 2000, to the nearest whole number?
Using the decay constant on the exponential function, the mass of the sample that will be left in 2013 is 35g
What is an Exponential Function?An exponential function is a function that can be expressed in the form f(x) = b^x, where b is a positive real number and x is a real number. The graph of an exponential function is a curve that increases or decreases rapidly as x increases or decreases.
here, we have,
In the exponential decay, the decay function can be given as;
y = ae⁻ⁿˣ
a = initial mass of sample
n = disintegration constant
x = time
The disintegration constant is also know as the rate of decay and we can calculate it as;
260 = 470e⁻ⁿ⁽³⁾
n = 0.197
n = 0.2
The disintegration constant is 0.2
The amount left in 2013 will be;
y = 470e⁻⁽⁰.²⁾⁽¹³⁾
y = 34.90
The mass in 2013 is 35g
Learn more on exponential function here;
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complete question:
A sample of a radioactive isotope had an initial mass of 470 mg in the year 2000 and decays exponentially over time. A measurement in the year 2003 found that the sample's mass had decayed to 260 mg. What would be the expected mass of the sample in the year 2013, to the nearest whole number?
Translate and solve: 58% of what number is 145?
Answer:
58% of 250 is 145.
Step-by-step explanation:
145 * 100/58
= 250
Answer:
250
Step-by-step explanation:
