To express a fraction as a percentage, we will multiply by 100%
We can express 51/50 as a percentage as follow
\(\begin{gathered} \frac{51}{50}\times100\text{ \%} \\ \\ =\frac{5100}{50}\text{ \%} \\ \\ =102\text{ \%} \end{gathered}\)Thus, 51/50 expressed as a percentage is 102%
I need to know the answer to this please and thank you, I don’t know how to do this.
Answer:
A= 30 sq feet
? = 5 feet
Step-by-step explanation:
if the total area is 104 square feet and we know where 44 square feet of that is accounted for that leaves 60 square feet so both A sections are equal so we can divide 60 by 2 to get 30 square feet. So "A" is 30 square feet.
to get "?" we need to find the other measurement for the 10 square foot sections, the easiest way to find that is 10 divided by 2 ( which is the measurement we already have), once we do this we get 5 feet, and because 5 feet is the height measurement for that part of the net diagram we know that the "?" will need to be 5 as well because it is also a height measurement.
Use the equation y=4.4x^2 - 6.9x + 554.4 to find the depth of a sample with a soil density of 2600 (y). Round to the nearest whole number
Answer:
Step-by-step explanation:
Direction: Opens Up
Vertex:
(
0.784
¯¯¯¯
09
,
551.69488
¯¯¯¯
63
)
Focus:
(
0.784
¯¯¯¯
09
,
551.75170
¯¯¯¯
45
)
Axis of Symmetry:
x
=
0.784
¯¯¯¯
09
Directrix:
y
=
551.63806
¯¯¯¯
81
Select a few
x values, and plug them into the equation to find the corresponding
y values. The
x values should be selected around the vertex.
Replace the variable
x
with
0
in the expression.
f
(
0
)
=
4.4
(
0
)
2
−
6.9
⋅
0
+
554.4
Simplify the result.
Tap for more steps...
554.4
The
y
value at
x
=
0
is
554.4
.
y
=
554.4
Replace the variable
x
with
−
1
in the expression.
f
(
−
1
)
=
4.4
(
−
1
)
2
−
6.9
⋅
−
1
+
554.4
Simplify the result.
Carl brown stein is a golf course groundskeeper whose annual gross pay is $45,500 . He has exemptions of &3,000. The state tax on the first 2,500?is 1.5% and 3% on amounts over 2,500
Answer:
no it's not
Step-by-step explanation:
3% of 45,500 is 1455 which is less then 2,500 which also means 1.5% is not more then 2,500
You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?
Answer:
congrats you just found 118,222.36 pounds of pennies worth $134,061.9
you should buy a house or car with 59 tons of pennies
Solve the following inequalities if it is known that function f is increasing on its domain f(4x-3)≥f(2-x^2),\(D_{f}\) =(-8,4)
I need help fast PLEASE
Answer:
1 ≤ x < 1.75
Step-by-step explanation:
You want the solution to f(4x -3) ≥ f(2 -x²), given the domain of f(x) is (-8, 4) and f is increasing on that domain.
Domain of xThe restriction on the domain of f(x) puts bounds on the values that x may have. In particular, we require ...
-8 < 4x -3 < 4 ⇒ -5/4 < x < 7/4-8 < 2 -x² < 4 ⇒ |x| < √10The first of these bounds is the most restrictive.
InequalityThe inequality can be rearranged to ...
x² +4x -5 ≥ 0
(x -1)(x +5) ≥ 0
x ≤ -5 or x ≥ 1 . . . . . values of x that make the product non-negative
SolutionThe solution set is the overlap between the values of x that satisfy the inequality and the values of x that keep the arguments of f(x) within the domain of f. That overlap is the region ...
1 ≤ x < 7/4
<95141404393>
Sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-2) is on the terminal side of θ. Then find the values of the six trignometric functions for the angle. Rationalize deniminators is applicable. Do not use a calculator.
Find sin θ, cos θ, tan θ, csc θ, sec θ, and cot θ.
If it is undefined, say undefined.
The values of the six trignometric functions for the angle are
Sinθ = Sin(3π/2) = -1Cosθ = Cos(3π/2) = 0tanθ = tan(3π/2) = undefined Cotθ = Cot(3π/2) = 0Cscθ = Csc(3π/2) = 1Secθ = Sec(3π/2) = undefinedThe above sketch an angle θ in standard position such that θ has the least possible positive measure, and the point (0,-2) is on the terminal side of θ. We have to determine the value of six
triganomertric functions at angle θ. As we see at terminal side point (0,-2) the value of angle θ = 3π/2. The six trigonometric functions are sine, cosine , secant , cosecant , tangent , cotangent .
Now, Sinθ = Sin(3π/2) = Sin( π + π/2)= Sin ( 180° + π/2) = - sin(π/2) ( since, 180° + θ represents 3rd quadrant where sinθ is negative)
=> Sinθ = - 1
Cosθ = Cos(3π/2) = Cos( π + π/2)= Cos( 180° + π/2) = - Cos(π/2) ( since, 180° + θ represents 3rd quadrant where cosθ is negative)
=> Cosθ = Cos(π/2) = 0
tanθ = tan (3π/2) = tan( π + π/2)= tan( 180° + π/2) = - tan(π/2) ( since, 180° + θ represents 3rd quadrant where tanθ is positive)
=> tanθ = - sin(π/2)/cos(π/2) = 1/0
= undefined
Cscθ = Csc(3π/2) = Csc( π + π/2)= Csc( 180° + π/2) = - Csc(π/2) ( since, 180° + θ represents 3rd quadrant where cscθ is negative)
=> Cscθ = - Csc (π/2) = - 1/sin(π/2) = 1
Secθ = Sec(3π/2) = Se( π + π/2)= Sec( 180° + π/2) = - Sec(π/2) ( since, 180° + θ represents 3rd quadrant where secθ is negative)
=> Secθ = -Sec(π/2) = -1/cos(π/2) = - 1/0
= undefined
Cotθ = Cot(3π/2) = Cot( π + π/2)= Cot( 180° + π/2) = Cot(π/2) ( since, 180° + θ represents 3rd quadrant where cotθ is positive)
=> Cotθ = cot(π/2) = Cos(π/2)/sin(π/2) = 0
Hence, we determined all required triganomertric functions value for θ=3π/2.
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The six trignometric functions' values for the angle are
Tan = tan(3/2) = undefined, Sin = Sin(3/2) = -1, Cos = Cos(3/2) = 0, and vice versa.
Cot = Cot(3/2), Csc = Csc(3/2), and Sec = Sec(3/2), respectively.
The above drawing shows an angle in standard position with the point (0,-2) on the angle's terminal side and the smallest positive measure achievable. We must calculate the value of six.
Triganomertric operates at an angle. As can be seen, the angle's value is 3/2 at the terminal side point (0,-2). In trigonometry, there are six different functions: sine, cosine, secant, cosecant, tangent, and cotangent.
At this point, Sin = Sin(3/2) = Sin( + /2)
= Sin ( 180° + π/2) Since 180° + denotes the third quadrant, where sin is negative, the expression is equal to - sin(/2).
=> Sinθ = - 1
Cos is equal to Cos(3/2) = Cos(+/2)
because 180 degrees, = Cos(180° + /2) = - Cos(/2)
Since 180° + denotes the third quadrant, where cos is negative, the equation is Cos(180° + /2) = - Cos(/2).
Hence, Cos = Cos(/2) = 0.
Tan is equal to Tan (3/2) = Tan (+/2)
= tan( 180° + π/2) Since 180° + denotes the third quadrant, where tan is positive, the expression is = - tan(/2).
Consequently, tan = - sin(/2)/cos(/2) = 1/0
not defined
Csc is equal to Csc(3/2) = Csc(+/2)
Since 180° + represents the third quadrant, where csc is negative, Csc(180° + /2) = - Csc(/2)
=> 1/sin(/2) = 1 = Csc = - Csc (/2)
Se( + /2) = Se( = Sec(3/2)
Since 180° + represents the third quadrant, where sec is negative, sec(180° + /2) = - Sec(/2)
The formula is: Sec = -Sec(/2) = -1/cos(/2) = -1/0.
not defined
Cot = Cot(3/2), which equals Cot(+/2)
Since 180° + denotes the third quadrant, where cot is positive, the equation is Cot(180° + /2) = Cot(/2).
Consequently, Cot = Cot(2/2) = Cos(2/2)/sin(2/2) = 0
As a result, we calculated the values for all necessary triganomertric functions for 3/2.
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I am an odd Number my digits add up to 7 I am bigger than 50 and smaller than 100 who am i?
Answer:
61
Step-by-step explanation:
1) When it says it's an odd number, the ones place has to 1, 3, 5, 7, or 9
2) Since the number is bigger than 50 and smaller than 100, we know the answer is going to be ranging in somewhere between 50 and 70
3) Now, we have to make sure the digits add up to 7, so no we are left we the options 52, 61, and 70
4) We have to make sure the answer is an odd number. Therefore, 61 is the correct answer.
Hope this helps!
The value of each digit in a number is known as the place value. The number is 61.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Given that the number is small than 100, therefore, the number is either a one-digit number or a two-digit number. Also, given that the sum of the two digits of a two-digit number is 7. Therefore, the numbers whose digits add up to 7 are,
0716253443526170Now, since the number is bigger than 50, therefore, the only options left are,
526170Further, since the number is an odd number, therefore, the given number can not end with 0, 2, 4, 6, or 8.
Hence, the number is 61.
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What are the angle measures?
Answer:
m1 - 120
m2 - 60
m3 - 60
m4 - 60
m5 - 30
A triangle is 180 degrees. An equilateral triange's angles are all the same.
12. The calculation of property tax is based on the
The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.
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missing angle of 28 and 21 trigonometry
Letss try using Pythagoras Theorem with
\(a+b+c=180\\21+28+c=180\\c=180-21-28\\c=131\)
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Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
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What is the mean of 10, 10, 9, 9, 10, 8, 9, 10, 8, 0
Answer:
83
Step-by-step explanation:
Add them all together and then divide by 10 (which is the number of digits there are)
Answer:9.125
Step-by-step explanation:
What is the equivalent to the product below when x>_0?
√5x² •√15x²
Graph that line with slope -1 passing through the point (-2,4)
Answer:
To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:
y - 4 = -1(x - (-2))Simplifying this equation, we get:
y - 4 = -x - 2y = -x + 2Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.
GRAPHICAL REPRESENTATION:|
|
|
|
| /
| /
| /
-------+---------
|
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The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
18.85
Step-by-step explanation:
adwadad
A restaurant wants to test a new in-store marketing scheme in a small number of stores before rolling it out nationwide. The new ad promotes a premium drink that they want to increase the sales of. 20 locations are chosen at random and the number of drinks sold are recorded for 2 months before the new ad campaign and 2 months after. The 90% confidence interval to estimate the true average difference in nationwide sales quantity before the ad campaign and after is (3.96, 28.79). Which of the following is the appropriate conclusion?
1) We are certain the average difference in sales quantity between after the ad campaign to before for all stores is between -3.83 and 1.83.
2) We are 95% confident that the difference between the average sales after the ad campaign and the average sales before the ad campaign is between-3.83 and 1.83.
3) The proportion of all stores that had a difference in sales between after the ad campaign to before is 95%.
4) We are 95% confident that the average difference in the sales quantity after to before of the stores sampled is between -3.83 and 1.83.
Answer:
2 or 4
Step-by-step explanation:
As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases. This is an example of a __________ correlation.
If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.
There are several types of correlation:
Positive correlation - An increase in one variable leads to an increase in another variable and vice versa Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa Zero correlation - Variables don't change in relation to one anotherIn this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.
In conclusion, what was observed is negative correlation.
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{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
List three different combinations of coins, each with a value of 30% of a dollar.
Answer:
1. 3 dimes
2. 1 quarter and a nickel
3. 30 pennies
Step-by-step explanation:
i hope this is it and i hope this helped <3
Answer:
3 nickels, 1 quarter and 5 pennies, and 30 pennies
Step-by-step explanation:
30% of a dollar is 30 cents. those all equal 30 cents
Mitch needs to do his laundry. It takes him 75 minutes to do each load
when he washes and dries the load. It takes him 43 less minutes if he
hangs up his laundry to dry. He decides to hang up one load of laundry
to dry.
Mitch writes the equation 75r -43 = 332, where x is the number of loads
of laundry he needs to do in order to determine how long it is going to
take him.
The next step Mitch wrote to solve the equation is shown here: 75r = 375
Which property did he use to get to this step?
A
addition property of equality
B
distributive property
C
subtraction property of equality
D
combining like-terms
Answer: [A] addition property of equality
Step-by-step explanation:
Mitch used the addition property of equality because he added 43 to both sides of the equation.
75r - 43 = 332
43 + (75r - 43) = (332) + 43
75r = 375
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The five evidence-based recommendations addressed in the practice guide include all of the following except:
A. Teach math using a developmental progression and monitor progress to ensure math instruction builds on what each child knows.
B. Teach children to view and describe their world mathematical and integrate math instruction throughout the school day.
C. Make sure you have strong curriculum so that all the math skills are addressed.
Answer:
I would say b since this defintally usally you aren't expeced to use math ouside of math class at school
Hope This Helps!!!
Answer:
The correct answer is C.
Step-by-step explanation:
The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and the Reputation of the Company for over world-wide corporations. Both the Quality of Management and the Reputation of the Company were rated on an Excellent, Good, and Fair categorical scale. Assume the sample data for respondents below applies to this study.
Reputation of Company
Quality of management Excellent Good Fair
Excellent 40 25 5
Good 35 35 10
Fair 25 10 15
Required:
a. Use a 0.05 level of significance and test for independence of the quality of management and the reputation of the company. What is the p-value and what is your conculsion??
b. If there is a dependence or association between the two ratings, discuss and use the probabilities to justify your answer.
Answer:
p value = 0.001908
There is no dependence
Step-by-step explanation:
We have
H0 : quality of management and reputation are independent
H1: they are not independent
We have df to be
(3-1)(3-1) = 4
We get the test statistic
Chi-square = 17.028
Using the Chi-square table
P value = 0.001908
Since p value is less than 0.05
We reject the null hypothesis. There is evidence that the quality of management and also reputation of company are not independent
B.
This p value tells us there is no dependence. The probability that they would show dependence has been given by the p value as 0.001908
aight anyone plz help lol
Answer:
okkokokokokokoookkijoiig
Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals a. 6.66. b. 1.66. c. .54. d. .65. Icon Key
Answer:
1.66
Step-by-step explanation:
Using the Chi square statistic (χ²) test :
χ² = Σ(Oi - Ei)² / Ei
Expected, Ei :
Freshmen = 30% * 300 = 90
Sophomore =24% * 300 = 72
Junior = 26% * 300 = 78
Senior = 20% * 300 = 60
Observed, Oi :
Freshmen = 83
Sophomore = 68
Junior = 85
Senior = 64
χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)
χ² = 49/90 + 16/72 + 49/78 + 16/60
χ² = 0.544 + 0.222 + 0.628 + 0.267
χ² = 1.661
The test statistic = 1.66
There are 20% more goblins than wizards in magic club. There are 220 goblins and wizards together in magic club. How many goblins are in magic club ?
Answer:
120
Step-by-step explanation:
w = wizards
1.2w = goblins
_________
w + 1.2w = 220
2.2w = 220
w = 100
This means there are 100 wizards. To find the number of goblins just plug the number of wizards in the goblins = 1.2w.
1.2 (100) = 120.
There are 120 goblins in the magic club.
Sammy's home has a value of $180,000. If the property tax rate where he lives is 1.245% how much does he pay in property taxes? Enter your answer rounded to the nearest dollar, such as: $3253.
Answer:
2241
180,000 x .01245= 2241
For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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I’m not quite understanding this, it’s just not setting in my brain (I’m just now starting in this math class)
Anyone who can help me, thank you I appreciate you, a lot!
I need part a and b
The question has to be worked out and if anyone doesn’t care to explain it to me! :)
Answer:
Step-by-step explanation:
Let x be the number of hours worked
Let C = the charge made by the first company
Let c = the charge made by the second company
You want to know when the costs will be =.
Equations
C = 376 + 12x
c = 280 + 15x
Solution
Make the two right sides equal
376 + 12x = 280 + 15x Subtract 12x from both sides
376 = 280 + 15x - 12x Combine like terms on the right
376 = 280 + 3x Subtract 280 from both sides
376 - 280 = 3x Combine
96 = 3x Divide both sides by 3
32 = x
Each company would have to work 32 hours to get the same amount to be charged.
C = 376 + 12x
C = 376 + 12*32
C = 376 + 384
C = 760
The amount each would charge is 760
Scale factor from A to B is 4:5.
Help
Answer:
24
Step-by-step explanation:
4/5 = x/30, then (4×30)/5 =24
The missing value is 24.
We have,
From the figure,
We can write an expression as:
4:5 = x : 30
This can be written as,
4/5 = x/30
Now,
Cross multiply.
x = 4 x 30 / 5
x = 4 x 6
x = 24
Thus,
The missing value is 24.
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Consider a triangle ABC lIke the one below. Suppose that B=97°, C=41°, and a = 55. (The figure Is not drawn to scale.) Solve the triangle.Round your answers to the nearest tenth.If there is more than one solution, use the button labeled "or"
Solution
Step-by-step explanation:
Cosine Law
a² = b²+c²-2bc cos A
b² = c²+a² -2ca cos B
Sum of three angles of a triangle is 180°.
B = 97 ; C= 41; A = x
\(\begin{gathered} A+B+C=180 \\ A+97+41=180 \\ A+138=180 \\ A=180-138 \\ A=42^0 \end{gathered}\)