Answer:
The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".
Step-by-step explanation:
got the information from the internet
If Katie Pittman earns a $60,840 annual salary, what is her weekly gross salary?
$2,340
$2,530
$1170
$1,216.80
If Katie Pittman earns a $60,840 annual salary, her weekly gross salary is $1170.
What is weekly gross salary?
The number of hours worked multiplied by the hourly wage of an employee is how gross wages are determined for hourly workers. For instance, an employee making $12 per hour and working 25 hours per week would earn a gross weekly salary of $300 (25 x 12 = 300).
What is annual salary?
The gross pay (before tax deductions) divided by the number of pay periods in a year yields the yearly salary. For instance, a worker making $1,500 each week would make $78,000 a year (1,500 multiplied by 52).
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A contractor better job at $750 for materials plus $43 per hour for labor. The total cost for the job can be modeled by C= 43H+ 750$.
Find the number of hours that he has for the job if the owner would like the total cost to be under $2000, rounded to the nearest hour.
The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.
To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.
Since the owner wants the total cost to be under $2000, we can set up the inequality:
43H + 750 < 2000
Now, let's solve this inequality for H, the number of hours:
43H < 2000 - 750
43H < 1250
Dividing both sides of the inequality by 43:
H < 1250/43
To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.
Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:
H < 29
Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.
By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.
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HELP ME
Final exam guide due
Show work
The approximate height of the tree is given as follows:
45.6 ft.
What is the geometric mean theorem?The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
The altitude segment for this problem is given as follows:
14.5 ft.
The bases are given as follows:
5.2 ft and x ft.
Hence the value of x is given as follows:
5.2x = 14.5²
x = 14.5²/5.2
x = 40.4 ft.
Hence the height of the three is given as follows:
5.2 + 40.4 = 45.6 ft.
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michaela has h hair ties. michaela's sister has triple the number of hair ties that michaela has. choose the expression that shows how many hair bows michaela's sister has
Answer:
\(S = 3 h\)
Step-by-step explanation:
Let M represent Michaela hair tier and S represents Michaela sister's
Given
M = h
S = Triple of M
Required
Determine an expression for S
From the given parameters, we have that;
S = Triple of M
Mathematically, this implies;
\(S = 3 * M\)
Substitute h for M
\(S = 3 * h\)
\(S = 3 h\)
Hence, the expression for Michaela sister' is \(S = 3 h\)
Answer 53-56. Questions and directions is from the picture below or above wherever you see the picture
The solutions of the equations are:
53) x = - 7 / b. If - 7 / b > 0, then b < 0: b ∈ (- ∞, 0).
54) x = 3 / 4 - a. If 3 / 4 - a > 0, then a < 3 / 4: a ∈ (- ∞, 3 / 4).
55) x = - 6.5 · c. If - 6.5 · c > 0, then c < 0: c ∈ (- ∞, 0).
56) x = - b · (a / c). If - b · (a / c) > 0 and b > 0, then a / c < 0: (a > 0 and c < 0) or (a < 0 and c > 0), but - b · (a / c) > 0 and b < 0, then a / c > 0: (a > 0 and c > 0) or (a < 0 and c < 0): 1) [b ∈ (0, + ∞) ∩ [[a ∈ (0, + ∞) ∩ b ∈ (- ∞, 0)] ∪ [a ∈ (- ∞, 0) ∩ b ∈ (0, + ∞)]]] ∪ [b ∈ (- ∞, 0) ∩ [[a ∈ (0, + ∞) ∩ b ∈ (0, + ∞)] ∪ [a ∈ (- ∞, 0) ∩ b ∈ (- ∞, 0)]]]
What is the solution of a function such that its domain is the set of all positive numbers?
In this problem we must clear the variable x within each expression and determine the possible values of constants a, b, c such that x is a positive number. Now we proceed to resolve on each equation:
53) b · x = - 7
x = - 7 / b
If - 7 / b > 0, then b < 0: b ∈ (- ∞, 0).
54) x + a = 3 / 4
x = 3 / 4 - a
If 3 / 4 - a > 0, then a < 3 / 4: a ∈ (- ∞, 3 / 4).
55) - x / c = 6.5
x = - 6.5 · c
If - 6.5 · c > 0, then c < 0: c ∈ (- ∞, 0).
56) (c / a) · x = - b
x = - b · (a / c)
If - b · (a / c) > 0 and b > 0, then a / c < 0: (a > 0 and c < 0) or (a < 0 and c > 0), but - b · (a / c) > 0 and b < 0, then a / c > 0: (a > 0 and c > 0) or (a < 0 and c < 0): 1) [b ∈ (0, + ∞) ∩ [[a ∈ (0, + ∞) ∩ b ∈ (- ∞, 0)] ∪ [a ∈ (- ∞, 0) ∩ b ∈ (0, + ∞)]]] ∪ [b ∈ (- ∞, 0) ∩ [[a ∈ (0, + ∞) ∩ b ∈ (0, + ∞)] ∪ [a ∈ (- ∞, 0) ∩ b ∈ (- ∞, 0)]]]
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What expression is equivalent to (24+9)
Answer:
welol its in parentheses and no matter what you always do parentheses first and it shows
(24+9) and the answer to that is 33
bc your simply just adding 24+9
Step-by-step explanation:
or if your looking for something similar do
(11+22)
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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The U.S. Postal Service delivers about 212 billion pieces of mail each year. Of this mail, 4/5 is sent by big commercial users. About how many pieces of mail are sent by big commercial users each year? Hint: billion is part of the label “billion pieces of mail”.
The mail that are sent by big commercial users is 169.60 billion.
How many mails are sent by big commercials users?A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 4/5.
In order to determine the pieces of mail that are sent by big commercial users, multiply the fraction by the total number of mails delivered each year.
The mail that are sent by big commercial users = 4/5 x 212 billion = 169.60 billion
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in the state of Texas, about 3/100 of the population lives in the city Fort Wroth. the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. What fraction of the population of Texas lives in Huston?
Answer:
population of Fort Worth, Texas. =9/100(x)
Step-by-step explanation:
in the state of Texas, about 3/100 of the population lives in the city Fort Wroth.
Let the population of the state of texas = X
Fort wroth population= 3/100(x)
the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. = 3*(3/100(x))
the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. =9/100(x)
The fraction of the population of Texas that lives in Huston is 9/100x.
Let the population of Texas be represented by x.
Since the state of Texas is about 3/100 of the population lives in the city Fort Wroth and the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas, then the fraction of the population of Texas lives in Huston will be:
= 3/100 × 3 × x
= 9/100 × x
The fraction of the population of Texas that lives in Huston is 9/100x.
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Which choices are equivalent to the expression below? Check all that apply 4√3
Answer:
answer is E
Step-by-step explanation:
4 x 12 i= 48
square root of 4=2
12= 4x3
square root of 4 again = 2
2x2 =4
so left with 4 square root 3
The equivalent expressions are (a) \(4\sqrt 3 = \sqrt{24} \cdot \sqrt{2}\), (d) \(4\sqrt 3 = \sqrt{12} \cdot \sqrt{4}\) and (e) \(4\sqrt 3 = \sqrt{48}\)
Equivalent expressionsEquivalent expressions are expressions that have equal values
The expression is given as:
\(4\sqrt 3\)
Express 4 as the square root of 16
\(4\sqrt 3 = \sqrt{16} \times \sqrt 3\)
Combine the roots
\(4\sqrt 3 = \sqrt{16\times 3}\)
\(4\sqrt 3 = \sqrt{48}\)
Express 48 as the product of 12 and 4
\(4\sqrt 3 = \sqrt{12 \cdot 4}\)
Split, into factors
\(4\sqrt 3 = \sqrt{12} \cdot \sqrt{4}\)
Express 48 as the product of 24 and 2 in \(4\sqrt 3 = \sqrt{48}\)
\(4\sqrt 3 = \sqrt{24 \cdot 2}\)
Split
\(4\sqrt 3 = \sqrt{24} \cdot \sqrt{2}\)
Hence, the equivalent expressions are (a), (d) and (e)
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The California license plate has one number followed by three letters followed by three numbers. How many different license plates are possible?
There are a total of 175,760,000 different license plates
How many different license plates are possible?
We know that the license plates are of one number followed by 3 letters followed by 3 numbers.
We need to count the number of options for each of these elements:
1st number: it has 10 options.1st letter: it has 26 options.2dt letter: it has 26 options.3rd letter: it has 26 options.2nd number: it has 10 options.3rd number: it has 10 options.4th number: it has 10 options.The total number of combinations is given by taking the product between these numbers of options, we will get:
C = 10*26*26*26*10*10*10 = 175,760,000
There are a total of 175,760,000 different license plates
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a rice cooker was sold for $60 after a discount of 60% waht was the usual price of the rice cooker
Discounted price = $60
Discount = 60%
Let the usual price be x.
So, x - (60% of x) = $60
=> x - [(60/100) × x] = $60
=> x - (60x/100) = $60
=> x - (3x/5) = $60
=> (5x/5) - (3x/5) = $60
=> 2x/5 = $60
=> 2x = $60 × 5
=> 2x = $300
=> x = $300/2
=> x = $150
So, the usual price is $150.
I need help on this and I need it explained to me
Two perpendicular segments form a 90° angle when they intersect, a 90° is usually depicted with a square. In this case, segments CD and GH form a 90° angle, then CD and GH are perpendicular lines, since AB and CD are parallel GH is also perpendicular to AB.
Then, AB is perpendicular to the line segment GH
E and F are at a distance "a" from each other, since the two segments where these points are located are parallel to each other any pair of points that lay on these lines are separated by a distance "a". G is on AB and H is on CD.
Then, the length of GH is a units
If m angle JMK =67, find the m angle JKM
SOLUTION:
Step 1:
In this question, we are given the following:
If m angle JMK =67, find the m angle JKM
Step 2:
From step 1, we can see that:
\(\begin{gathered} \angle JMK=67^0 \\ \text{and } \\ \angle MJK=90^0 \\ \text{Then , we have that:} \end{gathered}\)\(\angle JKM=90^0-67^{0\text{ }}=23^0\)CONCLUSION:
From the above solution, we can see clearly that the final answer is:
\(\angle JKM=23^0\)
Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4
The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.
Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.
For example, let's say one missing value is x = 3. We can substitute this into the equation:
y = 2(3) + 4
y = 6 + 4
y = 10
So, the missing ordered pair is (3, 10).
Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:
8 = 2x + 4
4 = 2x
x = 2
So, the missing ordered pair is (2, 8).
In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
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| ² + (AD)² = (2x)²
(AD)² = | x² − x²
x=²
√3
(AD)² =
AD =
The length of AD is 3 units.
How can we solve?We begin from the equation:
| ² + (AD)² = (2x)²
An equation is described as a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Next step we take is simplifying the right-hand side by squaring 2x:
| ² + (AD)² = 4x²
Substituting x=√3, we get:
| ² + (AD)² = 4(√3)²
| ² + (AD)² = 4(3)
| ² + (AD)² = 12
(AD)² = 12 - ²
(AD)² = 12 - 3
(AD)² = 9
AD = √9
AD = 3 units
Therefore, the length of AD is 3 units.
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ind the fractal dimensions for the following fractal objects. Complete parts (a) through (c). Question content area bottom Part 1 a. Suppose you are measuring the length of the stream frontage along a piece of mountain property. You begin with a 10 -meter ruler and find just one element along the length of the stream frontage. When you switch to a 1 -meter ruler, you are able to trace finer details of the stream edge and you find 25 elements along its length. Switching to a 10 -centimeter ruler, you find elements along the stream frontage. Based on these measurements, what is the fractal dimension of the stream frontage
Answer: the stream frontage has a fractal dimension between 1.67 and 2
Step-by-step explanation: The equation utilized to compute the fractal dimension of stream frontage is expressed as follows: D = (log N) / (log 1/s), where N represents the total count of constituent units and 1/s denotes the scaling factor.
At the scale of 10 meters, it has been determined that N equals one and the reciprocal of s equals one. At the scale of 1 meter, the sample size (N) is equal to 25, while the sampling interval (1/s) is equivalent to 0.1, which is obtained by dividing it by 10. At a distance of 10 centimeters, the number of observed particles is equivalent to 250 and the reciprocal of the standardized sensitivity value is 0.01. By employing the applicable formula, the fractal dimension can be computed as follows:
The equation can be expressed as D, which is equal to the logarithm of N divided by the logarithm of the reciprocal of s, represented as log 1/s.
At the 10-meter scale, it can be observed that D possesses a value of 0. This signifies that, within the scope of measurement, D does not exhibit any discernible magnitude.
At a scale of 1 meter, the value of D is approximately equal to 1.67.
The value of D on a 10 centimeter scale is equivalent to 2.
Please can anyone help?
Answer:
x=4.44
Step-by-step explanation:
1st step: multipy both sides by -4
x(-4) divided by -4 = (-1.11)(-4)
x(-4) divided by -4 = 1.11*4
11.4*4=4.44
The circumference would ……. For example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. When the radius doubles to 6 feet, the circumference is about ………. feet.
Answer:
37.7 feet
Step-by-step explanation:
The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.
For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).
When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).
In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.
Evaluate:
-36-(-5) = [?]
=> - 31
Step-by-step explanation:
As we know
\( - \: - \: = + \)
and
\( + \: - \: = \: - \)
That's the simple trick being used here .
=> - 36 - ( - 5 )
=> -31 ans..
Solve (1/2)ˣ - 4 > 0
Answer:
x < -2
Step-by-step explanation:
Rewrite the equation as:
\(\frac{1}{2} ^x < 4\\\frac{1}{2} ^x < \frac{1}{2} ^{-2}\)
Remove like bases and solve for x:
\(x < -2\)
What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
Solve.
Morgan's school is 10 miles from his house on the same
street. If he walks down the street directly from his school
to his house he passes a park and a snack shack. The park
is 2.55 miles from the school to the and the snack shack is
3.45 miles from the park. How many miles is it from the
park to Morgan's house?
2021 Gifted on the Go
The distance between Morgan's house and the park is 7 miles.
How many miles is it from the park to Morgan's house?We know that the Morgan's house, the park, the snach shack, and the high school are on the same street.
We know that the distance between Morgan's house and the school is 10 miles.
The distance between the park and the high school is 2.55mi, the the distance between Morgan's house and the park is:
10 mi - 2.55mi = 7.45mi
And the snack shack is at 3.45 miles from the park, then we will get that the distance between Morgan's house and the snack shack is:
7.45mi - 3.45mi = 4mi
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Find total surface area of the pyramid.
Answer choices
A.144 inches squared
B.1150 inches squared
C.170 inches squared
D.180 inches squared
Answer:
D) 180 inches²
SEE NOTE*
Step-by-step explanation:
Base = 10x10=100
Each triangle = 1/2x10x4=20
20x4=80
100+80=180
* This may be a trick question. This pyramid CANNOT exist. If the base is 10 inches, the height of the triangles cannot be 4 inches. They must be more than 5.
Round 517,429 to the nearest hundred.
Answer:
517,400
Step-by-step explanation:
Use the order of operations to find the value of the following expression. (4-9)(-4-1)
Group the terms with variables on one side of the equal sign, and simplify.
5z + 3 = 36z
Answer:
z = 3/31
Step-by-step explanation:
5z + 3 = 36z
subtract 5z on both sides
3 = 31z
divide by 31 on both sides
z = 3/31
2. What is the image of H(-2,6) after the translation defined by (x,y) - (x +2,y- 1)?
Answer:
(0,5)
Step-by-step explanation:
x coordinate becomes -2+2=0
y coordinate becomes 6-1=5
So H'(0,5)
Answer:
(0, 5)
Step-by-step explanation:
H (-2,6)
(x,y) - (x + 2, y - 1)
(x,y) - (x + 2, y - 1)
(x,y) - (-2 + 2, 6 - 1)
(x,y) - (0, 5)
Hope this helps!
x(7 – 2y)use x = 5 and y = -4
Evaluate the expression;
\(x(7-2y)\)Where x = 5 and y = -4,
The expression becomes
\(\begin{gathered} =5(7-2\lbrack-4\rbrack) \\ =5(7-\lbrack-8\rbrack) \\ =5(7+8) \\ =5(15) \\ =75 \end{gathered}\)You simply substitute for the values of 5 in place of x, and -4 in place of y
Given f(x) = x³ - 6x + k, and the remainder when f(x) is divided by x - 1 is 14, then what is the value of k?
Answer: 19
Step-by-step explanation: The best way is to set this up with synthetic division (as the attached image).
Hope this helps!