Answer:
The equation of the line would be y + 6 = - 2(x - 1).
A manager in a call center needs to determine how many agents to schedule next week.
Based on previous data, she expects to get 7,940 calls next week. The following conditions
apply:
• On average, call center agents can handle seven calls an hour.
• The call center is open for 10 hours, 5 days a week.
Full-time agents work 40 hours per week, but are only on calls for 35 hours a week.
Part-time agents work 20 hours a week, but are only on calls 17 hours per week.
Answer:
Number of calls expected in next week by manager = 7940
Average Number of calls that call center agent will attend in an hour =7 calls
It is also given that, Call center remain open for 10 hours 5 days a week.
Also, it is given that, full time agents work 40 hours a week but are only on call for 35 hours per week ,Part time agents work 20 hours a week but are only on calls 17 hours per week .
⇒Number of hours worked by full time agents × Number of calls attended in an hour × Number of full time agents + Number of hours worked by Part time agents × Number of calls attended in an hour × Number of Part time agents ≤ 7940
⇒35 × 7×Number of full time agents +17 × 7 ×Number of Part time agents ≤ 7940
Option A
⇒35×15×7+17×7×15
= 3675+1785
= 5460
Option B
⇒35 ×7×20+17×7×7
=4900 +833
= 5733
Option C
⇒35×20×7 +17×20×7
=4900+2380
=7280
Option D
⇒25 × 35×7+17×7×5
=6125 +595
=6720
Option E
⇒28×35×7+17×7×10
=6860+1190
=8050
Option E, ⇒ 28 full time agents and 10 part time agents , is best to meet the scheduling needs is most appropriate, that is nearer to 7940 calls.
What is the focus of the parabola? y=−1/4x^2 −2x − 2
Answer:
Step-by-step explanation:
This is a doozy. You have to know A LOT about parabolas to get to this answer. First and foremost, we will have to complete the square on the x terms and get everything else on the other side of the equals sign with the intention of putting this into standard form which looks like this:
[tex]-4p(y-k)=(x-h)^2[/tex]
The negative is because the parabola is upside down. We begin breaking it down by multiplying everything by -4 to get:
[tex]-4y=x^2+8x+8[/tex] and subtract that 8 from both sides to get:
[tex]-4y-8=x^2+8x[/tex]. Now we'll complete the square on the x terms by taking half the linear term, squaring it, and then adding it to both sides. Our linear term (the number with the x stuck to it) is 8. Half of 8 is 4 ad 4 squared is 16. So we add 16 to both sides to get:
[tex]-4y-8+16=(x^2+8x+16)[/tex]
The right side will simplify into a perfect square binomial and the left side we will just combine like terms to get:
[tex]-4y+8=(x+4)^2[/tex]
We're getting close. Now we need to just factor out the -4 on the left to get:
[tex]-4(y-2)=(x+4)^2[/tex]
If the standard form is -4p blah blah blah, then p has to be 1. That means that the focus is 1 unit below the vertex. The vertex is (-4, 2). p is the distance between the vertex and the focus. The focus is always on the axis of symmetry. We know that the parabola opens upside down because of the negative sign, and the parabola always wraps itself around the focus. That's why the focus is p units below the vertex. That means that the focus is located at (-4, 1).
Told you it was difficult. I noticed no one helped you with this one and it's been up here for 5 days...
Write the decimal equivalent
Nine and sixteen hundredths
Answer:
9.16
Step-by-step explanation:
It's hundreds so you have to move the decimal place two times
Step-by-step explanation:
Nine and sixteen hundredths is equivalent to 9.16 in decimal form
A jewelry box contains 13 gold earrings, 10 silver earrings and 12 titanium
earrings. Two earrings are drawn at random with replacement. Find the
probability that they are made of different materials.
Answer:
The probability is 406/625
Step-by-step explanation:
If they are of different materials, we have the following combinations of selection;
(gold and silver) or ( silver and titanium) or (gold and titanium )
The number of earrings present is 13 + 10 + 12 = 25
Probability of selecting a gold earring is 13/25
Probability of a silver is 10/25
Probability of a titanium is 12/25
Substituting these into the probabilities, we have;
(13/25 * 10/25) + (10/25 * 12/25) + (13/25 * 12/25)
= 130/625 + 120/625 + 156/625 = 406/625
Carlos paid an electrician x dollars per hour for a 6-hour job, plus an additional $75 for parts. The total charge was $500.00. Which equation can be used to determine how much the electrician charged per hour?
Answer:5x + 70 = 320
Step-by-step explanation:
this can be the only answer.
please make me brainliest.
simplify 4+3x=22
Step by step explanation
Answer:
x = 6
Step-by-step explanation:
Rearrange terms
4 + 3 = 2 2
3 + 4 = 2 2
Subtract 4 from both sides of the equation
3x+4=22
3 + 4 − 4 = 2 2 − 4
Simplify (Subtract the numbers )
3 = 1 8
Divide both sides of the equation by the same term
3 = 1 8
3 / 3 = 1 8 /3
Simplify (Cancel terms that are in both the numerator and denominator
Divide the numbers )
= 6
|8 - 22|
I need help with this please :)
Answer:
l8 - 22l = 14
Answer: -203
Step-by-step explanation:
By explaining this answer, You first find out if this question can be answered with no negative numbers. As there is negative numbers in this problem you will have to subtract it the way you subtract a normal subtraction problem.
Ask me if you need more info :)
find the quotient of 12/5 divided by 2/5
Answer:
6
Step-by-step explanation:
I just did 12/5 divided by 2/5
Answer:
0.24
Step-by-step explanation:
what is the area of a circle if the diameter is 6 in
Answer:
28.27 in²
Step-by-step explanation:
Since Area = π times r²
And 2
r = Diameter
As Diameter = 6
r = 3
Area = π x 3²
= π x 9
= 28.27 in²
Please help me:) i will give brainliest to the right answer<3
Answer:
the coustant of proportanility is 28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
math
Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
9514 1404 393
Answer:
563.5 cm³
Step-by-step explanation:
Use the formula for the volume of a cone:
V = (1/3)πr²h
Recognize that the radius is half the diameter:
r = (11.9 cm)/2 = 5.95 cm
V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³
The volume of the cone is about 563.5 cm³.
_____
Additional comment
If you use 3.14 for the value of π, then the result will be 563.2 cm³.
Can someone answer this I would really appreciate it thanks :)
Answer:
Y = 130
X = 20
Z = 110
Answer:
y= 130 degrees x= 20 degrees z= 110 degrees
Step-by-step explanation:
I solved top left triangle first. So, we know all triangles add up to 180 degrees and we have two on the angles so 85 + 45 = 130 then 180 - 130 = 50 so the missing angle near y is 50. Now to figure out Y then you just subract your answer (50) from 180 which you get 130. So y is 130 degrees. Then to figure out X, you just do 180 - 130 = 50, 50 - 30 = 20, so x is equal to 20 degrees. Then lastly to figure out z we know that the missing angle is 50 because its vertical to the other 50 degree so now you do 180 - 20 = 160, 160 - 50 = 110 degrees.
Help please points and brainlest!!
Answer:
0.20m + 650 < 755
Step-by-step explanation:
So you know that m is the total amount of miles that he travelled, so the cost of these miles would have been 0.20m. The total also included 650 and it has to be less than 755. Thus the equation would be 0.20m + 650 < 755 which means that the sum of 0.20m (cost of miles) and 650 (night cost) is less than (< means less than something else on the right) 755.
The data set represents the number of minutes Dan spent on his homework each night.
30, 35, 35, 45, 46, 46, 52, 55, 57
Which box plot correctly represents the data?
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 53. A line divides the box at 46.
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 52. A line divides the box at 46.
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 46.
A number line goes from 30 to 58. The whiskers range from 30 to 57, and the box ranges from 35 to 55. A line divides the box at 45.
Answer:
A.
Step-by-step explanation:
i am gonna be so happy if i get this right i'm a middle school student yayyaya
Answer:
a
Step-by-step explanation:
What is the exact distance from (-5,1) to (3,0).
Answer:
The distance between the two points is [tex]\sqrt{65} \ \text{units}.[/tex]
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:
[tex]\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Our coordinate pairs need to be labeled accordingly, so we can use this naming system:
[tex]\bullet \ \ \ (x_1, y_1), (x_2, y_2)[/tex]
This assigns a name to our points:
[tex]x_1 = -5[/tex][tex]y_1 = 1[/tex][tex]x_2 = 3[/tex][tex]y_2 = 0[/tex]Therefore, we can plug these into the formula and solve:
[tex]d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}[/tex]
Therefore, the distance between the two points is [tex]\sqrt{65} \ \text{units}[/tex].
can anyone help me plzzzzz
Step-by-step explanation:
cmon man its a blank screen
(04.01)
On a coordinate grid, both point (1, 2) and point (-3, -3) are reflected across the y-axis. What are the coordinates of the reflected points?
(-1, 2) and (3, -3)
O(-1, -2) and (3, 3)
(1, -2) and (-3, 3)
(1, 2) and (3, 3)
Answer:
The first one
Step-by-step explanation:
Intuition.
If you are dividing X and Y values, does the Y value go on the top or bottom?
This question will go in memory of Swordslayer123. Sword, I am sorry if I ever hurt you in life, but no matter what happens I will care about you. I hope you stay safe and have a great christmas. I will always remember you, and I will miss ya. You may be a pain, but you're a pain I care about :D
Helppppppppppppppppppppp
Answer:
true
Step-by-step explanation:
A bakery sells bagels at two different rates. When a customer buys fewer than 12 bagels, each one costs $1.25. When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75.
Which TWO inequalities and constraints below represent the price for b bagels??
Question 1 options:
1.25b when b 12
1b when b < 12, then 0.75b
1b when b ≤ 12, then 0.75b
0.75b for b < 12, then 1b
0.75b for b ≤ 12, then 0.75b
Answer:
1.25b when b < 12 , 1b & then 0.75 b when b > 12
Step-by-step explanation:
Price for b bagels = Price x Quantity* Less than 12 bagels bought, cost $1.25 per bagel
So, price for b bagels, when (b < 12) = 1.25b
* 12 or more than 12 bagels bought, cost $1 upto first 12 bagels & 0.75b on each additional bagel
So, price for b bagels, when (b = 12) = b
So, price for b bagels, when (b > 12) = b + 0.75b' , where b' denotes extra b beyond 12
The inequality used to represent this constraints is:
Price = 1.25b when b < 12
Price = 0.75b + 3 when b ≥ 12
Inequalities is an expression used to show the non equal comparison of numbers and variables.
Let b represent the number of bagels bought.
When a customer buys fewer than 12 bagels, each one costs $1.25. Hence:
Price = 1.25b when b < 12
When a customer buys 12 or more bagels, the first 12 bagels cost $1 each and each additional bagel costs $0.75. Hence:
Price = 12 + (b - 12)0.75 = 0.75b + 3 when b ≥ 12
The inequality used to represent this constraints is:
Price = 1.25b when b < 12
Price = 0.75b + 3 when b ≥ 12
find out more at: https://brainly.com/question/25285332
what is -3 exponent 2 in expanded form?
Answer:
-3 times -3 that is -4 exponent two in expanded form
Step-by-step explanation:
-3²
= -3 • -3
eg. Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 5,325 in expanded notation form is 5,000 + 300 + 20 + 5 = 5,325.
Lonnie bought 6 pieces of ribbon. Each
ribbon was 2 3/4
yards long. How much
ribbon did Lonnie buy in all?
OA) 12 1/2
)
OB) 14 1/2
yd
OC) 151/2
yd.
OD) 16 1/2
yd.
Answer:
D
Step-by-step explanation\Turn 6 into a fraction 6/1, and 2 2/3 into an improper fraction, 11/4 by multiplying two times the denominator and add the top number and keep the denominator from the begining. That will give you the 11/4. Then multiply across and you should be 16 1/2.
A box has a length of 5 cm, a width of 10 cm, and a helght of 2 cm. The volume of the box is 3 17 cm 3 100 cm 100 cm 17 cm
Answer:
17 cm
Step-by-step explanation:
A box has a length of 5 cm, a width of 10 cm, and a height of 2 cm. the volume of the box is: 17 cm
find the sum of 3.8 + (-2.9)
Answer:
3.8 - 2.9= .9
ANSWER : .9
Answer: 0.9
Step-by-step explanation:
which of the following is an irrational number?
Answer:
B
Step-by-step explanation:
The other choices are terminal numbers which makes them rational numbers but square root of 19 is an irrational number because square root of 19 is 4.3588989.... This makes it an irrational number since it's just random numbers after the decimal point.
The cost of a magazine is $x and the cost of a newspaper is $(x -3). The total cost of 6 magazines and 9 newspapers is $51. Write down and solve an equation in x to find the cost of a magazine,
See attachment for math work and set up. Use the substitution method to find x.
A 6 pack of batteries cost $7.80. How much is 1 battery?
Answer:
$1.30
Step-by-step explanation:
divide the cost by 6 and you get 1.3 so 1 battery=1.30
Answer:
Each battery would cost 1.30
Step-by-step explanation:
7.80 divided by 6 equals 1.3
Another way to find the answer would be
1.3x6
or
1.3+1.3+1.3+1.3+1.3+1.3
Mutual Fund X owns 0.5% of the total stock of Company Y. In one particular year, Company Y announces annual profits of $12,000,000, and decides to pay dividends to its shareholders at a rate of 15% of its annual profits. How much will Mutua
Answer: $9,000
Step-by-step explanation:
First calculate the total dividends that Company Y plans to pay.
= 12,000,000 * 15%
= $1,800,000
Then calculate the amount that Mutual fund X will get.
They own 0.5% of the total stock of Company Y so they will get;
= 0.5% * 1,800,000
= $9,000
N-5 less than or equal to -2
Answer:
[3, + ~)
Step-by-step explanation:
I DON'T HAVE PEN AND PAPER WITH ME I CAN'T GRAPH IT
math question!
please answer for 10+ points
Answer:
5 to the fourth power is 625
625 / 25 is 25
so now you have 25 = 5 to the second power
and five to the second power is 25
Step-by-step explanation:
So the answer should be the third one.