Last year Essex Manufacturing paid $3500 for utilities. This year the company used energy-saving techniques to reduce the utility bills by 13% of last year's cost. What was the cost of utilities for Essex Manufacturing this year?
Answer:
$3045
Step-by-step explanation:
You need to find 13% of 3500, and subtract it from 3500.
13% of 3500 = 455
3500 - 455 = 3045
(√5+√17i)(√5-√17i)=? (give answer in standard a+bi form)
Answer:
22
Step-by-step explanation:
Given
([tex]\sqrt{5}[/tex] + [tex]\sqrt{17}[/tex] i )([tex]\sqrt{5}[/tex] - [tex]\sqrt{17}[/tex] i ) ← expand factors using FOIL
= ([tex]\sqrt{5}[/tex] )² - ([tex]\sqrt{17}[/tex] )² i² ← i² = - 1
= 5 - 17(- 1)
= 5 + 17
= 22
I’ll give brainliest
Answer:
The graph of the system of equations solves the equation [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7 ⇒ C
Step-by-step explanation:
Let us revise some important notes about the slope and y-intercept of a line
The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept
If the line has a positive slope then its direction will be to the rightIf the line has a negative slope then its direction will be to the leftThe y-intercept (0, b) is the the point of intersection between the line and the y-axis
If the line cuts the y-axis at a point above the x-axis, then b is positiveIf the line cuts the y-axis at a point down the x-axis, then b is negativeTo solve our question without any calculation, let us find the direction of the slopes and their y-intercepts
∵ The direction of the blue line is to the left
→ That means m in the equation is negative
∴ Its slope is negative
∵ The line intersects the y-axis at point (0, 2)
→ That means b in the equation = 2
∴ The number in the equation is 2
→ Look at the answer we have two answers have negative slope and
y-intercept 2 in the left hand side ⇒ C and D
∴ The equation of the blue line is represented by the left side [tex]-\frac{1}{4}[/tex] x + 2
→ that means the equation of the red line is represented by the right side
∵ The direction of the red line is to the right
→ That means m in the equation is positive
∴ Its slope is positive
→ Only C has a positive slope in the right side
∴ The equation of the red line is represented by 2x - 7
The graph of the system of equations solves the equation [tex]-\frac{1}{4}[/tex] x + 2 = 2x - 7
Another way:
You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a while. How many miles has the car traveled if it has 10 gallons of gas left in the tank?
Answer:
30
Step-by-step explanation:
Franco made a dozen muffins for his party. Upon taking them out of the oven, he noticed that 2 of the muffins were badly burned. Franco served 710 of the remaining muffins. Which equation shows the fraction of the non-burned muffins that remains? A. 1212−712=512 B. 1010−710=310 C. 1212−512=712 D. 1010−310=710
Answer:
10/10 - 7/10 = 3/10
Step-by-step explanation:
Muffins made = 12
Burnt muffins = 2
Good muffins = 12 - 2 = 10
Franco served 7/10 of the remaining muffins
Muffins served = 7/10 × 10
= 7
Muffins unserved = 10 - 7 = 3
Fraction of the non burned muffins remaining = non burned muffins - served muffins
= 10/10 - 7/10
= 3/10
The answer is B
2-86. Simplify the expression
a. 5x + 4 - 2x +3 - 2x
b. 17m-2-9m + 7 -2m
c. 2xy - 2yz + 7x2 + 6xy - 2xz
Find the mode and the mean of the following set showing number of hours of operating life 25 flashlight batteries:20, 21, 19, 22 , 18 , 23 , 25 , 22 , 23 , 20 , 23 , 20 , 22 , 21 , 24 , 21, 22 , 23 , 19, 21, 22 , 22 , 24 , 26 , 22.
Answer:
mode: 22
mean: 21
Step-by-step explanation:
For mode, look for the number that occurs the most (22). I remember this because MODE kinda sounds like MOST. Remember that the mean is just another word for average. I remember this because I think its MEAN that they'd make another word for average, although the term average is way easier to remember. So, add all numbers (525) and divide them by 25.
525 divided by 25= 21
(it might be safe to double check my work)
The mean of the set showing number of hours of operating life 25 flashlight batteries is, 21.8
The mode of the set showing number of hours of operating life 25 flashlight batteries is, 22
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The set showing number of hours of operating life 25 flashlight batteries is,
⇒ 20, 21, 19, 22 , 18 , 23 , 25 , 22 , 23 , 20 , 23 , 20 , 22 , 21 , 24 , 21, 22 , 23 , 19, 21, 22 , 22 , 24 , 26 , 22.
Now, We can arrange the numbers in ascending order as;
⇒ 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 26
Thus, The mean of the set is,
⇒ Mean = 18 + 19 + 19 + 20 + 20 + 20 + 21 + 21 + 21 + 21 + 22 + 22 + 22 + 22 + 22 + 22 + 22 + 23 + 23 + 23 + 23 + 24 + 24 + 25 + 26 / 25
⇒ Mean = 545 / 25
⇒ Mean = 21.8
And, The mode of the data set is the most often number in data set.
Hence, The mode of the set = 22
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PLZ HELP ASAP.....Your dad is researching landscaping companies to come put new mulch out for the year. The first company charges $100 just to come out, plus $10 per bag of mulch, m, needed. The second company doesn’t charge to come out but charges $30 per bag of mulch. After how many bags of mulch will the total cost of each company be the same?
Answer: After 5 bags of mulch, the cost for both companies will be the same.
Step-by-step explanation:
The cost for Company can be represented by the equation: y= 10m+100
The cost for Company B can be represented by the equation: y= 30m
To find the amount of mulch, their cost needs to be the same, I will solve for m
10m+100=30m
-10m 10m
100=20m
Divide both side by 20
100/20=20m/20
5=m or m=5
So after 5 bags of mulch, the total cost for both companies is the same.
11 times what is 93.5?
Answer:
11 x ___ =93.5
___ = 93.5 ÷ 11
= 8.5
Answer:
93.5/11 = 8.5
Step-by-step explanation:
Which is reflex angle
a.180° b.280° c.270°
Answer:
b)280° and c) 270°
A reflex angle is an angle which is more than 180° but less than 360°
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Step-by-step explanation:
180 is reflex angle.
hope it's helpful
brainlest if right plz help
Answer:
i think it is 10
Step-by-step explanation:
Help me please, thx
A shop sells matching hats and scarves.The scarves cost 1.5 times as much as the hats.Write two patterns that could represent the cost of 1234 and 5 hats and scarves.List the first 5terms of each pattern.Then explain how to find the cost of 6hats and scarves,using the patterns you wrote u
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Let Cost of hats = h
Cost of scarves = 1.5h
Hence if hats cost $h, then the cost of scarves will be; (1.5 * h)
Using tables :
If the cost of an hat = $2
Hence,
N _____cost of hat(h) ____cost of scarve
1_______2*1 = 2 _________1.5(2) = 3
2______2 *2 = 4 _________1.5(4) = 6
3______2*3 = 6 _________1.5(6) = 9
4 ______ 2*4 = 8 ________1.5(8) = 12
5 ______2 *5=10 ________1.5(10) = 15
Cost of 6 hats and scarve:
Cost of hat:
2 * 6 = $12
1.5h = 1.5(12) = $18
how do you do trigonometery with 2 angles and a length
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles, with these functions one can answer virtually all questions about.
Answer:
(a/sinA)＝(b/sinB)＝(c/sinC)
Step-by-step explanation:
a and b and c is the length
A,B,Cis angle.
This is a formula.
E.g. the angle opposite of the length a is A.
Which theorem or postulate justifies this statement?
∠8≅∠10
alternate interior angles theorem
corresponding angles postulate
alternate exterior angles theorem
vertical angles theorem
linear pair postulate
The figure shows parallel line segments G N and F H rising slowly from left to right with segment G N above segment F H. Line segment K L falls steeply from left to right, first intersecting segment G N and then segment F H. Line segment M J rises steeply from left to right, first intersecting both segment F H and segment K L at their point of intersection and then intersecting segment G N. The 4 angles at the intersection of segments G N and K L are numbered from 1 through 4 in a clockwise direction with angle 1 above segment G N and to the left of segment K L. The 4 angles at the intersection of segments G N and J M are numbered from 5 through 8 in a clockwise direction with angle 5 above segment G N and to the left of segment J M. The 6 angles at the intersection of segments F H, K L, and J M are numbered from 9 through 14 in a clockwise direction with angle 9 above segment F H, to the right of segment K L, and to the left of segment J M.
Answer: heres the answer, i just finished the quiz
please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.
The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.
Determine the scale factor for the transformation. In this case, the scale factor is 3/4.
Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.
For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).
Connect the plotted points with a smooth curve to obtain the graph of g(x).
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Name the two different types of pacifists.
Answer:
There are several different sorts of pacifism, but they all include the idea that war and violence are unjustifiable, and that conflicts should be settled in a peaceful way.
...
Pacifism
religious faith.
non-religious belief in the sanctity of life.
practical belief that war is wasteful and ineffective
Step-by-step explanation:
solving literal equations a-bc=d solve for a
Answer:
a=d+Bc
Step-by-step explanation:
a-bc=d
+bc
a=d+bc
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 48 and a standard deviation of 9. Using the Standard Deviation Rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 30 and 66?
Answer:
95.44%
Step-by-step explanation:
Mean (m) = 48
Standard deviation (sd) = 9
n = 12
Zscore = (x - m) /sd
X = 30
Zscore = (30 - 48) / 9
Zscore = - 2
X = 66
Zscore = (66 - 48) / 9
Zscore = 2
percentage of daily phone calls numbering between 30 and 66 = P(z < 2) - p(z < - 2)
P(z < 2) = 0.9772
P(z < - 2) = 0.0228
Hence,
0.9772 - 0.0228 = 0.9544
0.9544 * 100% = 95.44
what is 1/4 as a negative exponent
Answer:
1/4 = 1/2² = 2^-2
Step-by-step explanation:
1/4 can be expressed as a negative exponent is 4⁻¹
What is the negative exponent rule?A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³
Given here, 1/4 thus it can be expressed as 4⁻¹
Hence, 1/4 can be expressed as a negative exponent is 4⁻¹
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odd number have more than exactly by 2 true or false
Which of these is NOT the net of a cube?
A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The correct option is C.
What is a cube?A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex.
The net that will not form a cube is C, because of the two side flaps which will overlap, therefore, will form an open box from the side.
Hence, The correct option is C.
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Which statements about variables are true? Select all that apply.
Answer:
Step-by-step explanation:
True:
Any letter can be used as a variable (yes)
Variables are used for numbers that haven't been defined yet (maybe)
All the rest are false
Hope this helps!
The true statements about variables are:
ii) Any letter can be used as a variable.
v) Variables are used for numbers that haven't been defined yet.
Explanation:
i) This statement is not true. Equations can involve multiple variables. For example, the equation "x + y = 10" involves two variables, x and y.
ii) This statement is true. In mathematics, variables are represented by letters, and any letter can be used to represent a variable. Common choices include x, y, z, a, b, c, etc.
iii) This statement is not true. While x is commonly used as a variable in many mathematical contexts, it is not the only letter that can be used. As mentioned earlier, any letter can be used as a variable.
iv) This statement is not true. Variables are specifically used in mathematical operations. They allow us to represent unknown quantities or values that can change. Mathematical operations involving variables are fundamental in algebra and many other branches of mathematics.
v) This statement is true. One of the primary purposes of variables is to represent numbers that haven't been defined yet. Variables act as placeholders for unknown values, and they allow us to generalize mathematical relationships and solve equations. Once we assign specific values to variables, the equations or expressions can be evaluated or solved.
In summary, variables are flexible symbols that can represent unknown or changing values in mathematical equations and expressions. They can be any letter and are essential for performing mathematical operations and solving problems involving unknown quantities.
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helpppp please i need help reallllly fast I just need someone to check my answers and if they're wrong please tell me what it is
Answer: You're right. You've figured it out correctly!
A caterer charges $120 for 15 people to cater a party and $7 per person after that.
Assume that the cost, y, is a linear function of the number of x people. Write an
equation in slope-intercept form for this function.
Answer
120=7x+15
Step-by-step explanation:
Answer:
We are given table for the prices for two different catering companies.
Company Initial Payment Rate Per Employee
________________________________________
$135 $12
$0 $15
We know, slope-intercept form of a linear equation:
y= mx+ b.
Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).
Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.
y = 12x +135.
Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.
y = 15x + 0 or y = 15x.
Therefore, system of equations or Devoted Catering are
y = 12x +135.
y = 15x .
Step-by-step explanation:
is 55 810 a multiple of 10
Answer:
Yes
Step-by-step explanation:
Any number that ends with a zero is a multiple of 10
Kayla worked 3x+6 hours this week. She earns x-2 dollars per hour.
Use the drop down below to create a polynomial that represents the amount Kayla earned this week.
the first drop answer choices are
A)2x
B)2x²
C)3x
D)3x²
E)4x
F)4x²
the second drop menu answer choice
A)+
B)-
the third drop menu answer choice
A)4
B)8
9)12
Answer:
3x²-12Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
3x²
-
12
Step-by-step explanation:
We are going to multiply both equations because we want to found how much she made that week.
(3x + 6)(x - 2)
~Use FOIL
(3x * x) + (3x * -2) + (6 * x) + (6 * -2)
~Simplify
3x² - 6x + 6x - 12
~Combine like terms
3x² - 12
Best of Luck!
a rectangular ground is 40m long 35m board 2m path is constructed inside it find its area
Answer:
2800
Step-by-step explanation:
solution:
here,
length=40 meter
Breadth=35 meter
height=2meter
area=?
we have,
A=l×b×h
=40×35×2
=2800 ans.
Consider the linear equation.
32 4y = 18
Which two ordered pairs are on the graph of the linear equation?
anyone know the answer to all of these, i Beg of you to help me !!
Answer:
Step-by-step explanation:
top right
a30/5=6x4= 24
b The whole number is itself/1 so 45 becomes 45/1. 45/1x2/9= 90/9 (10/1 or 10 simplified)
c The whole number is again simply itself over 1 when translated to a fraction so24 becomes 24/1. 24/1x1/6 = 24/6 (4/1 or 4 simplified)
Top left
a 8/24 simplifies to 1/3
b 16/24 simplifies to 2/3
bottom right
a 2/10 simplifies to 1/5
b 9/24simplifies to 3/8
bottom right
a 15/20 simplifies to 3/4
b 8/12 simplifies to 2/3
I hope this helps have a nice day:)
