Answer:
16
Step-by-step explanation:
The interquartile range of pennies is 16. Interquartile range is also known as 50% or the midpoint. Interquartile is the smallest point of measurement. The whole data set is divided into quartiles and data is spread evenly in every range.
What is the perpendicular slope of m= -3/2
Answer:
-2/3
Step-by-step explanation:
The base of a parallelogram is (2+3)units and the corresponding height is (2−3)units.Find the area of the parallelogram in terms of .What will be the area of the parallelogram if =units?
Answer:
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex].
If x = 30 units, the area will be of 3591 units squared.
Step-by-step explanation:
Area of a parallelogram:
The area of a parallelogram of base b and height h is given by:
[tex]A = bh[/tex]
In this question:
We have that [tex]b = 2x + 3, h = 2x - 3[/tex].
So
[tex]A = (2x + 3)(2x - 3) = 4x^2 - 6x + 6x - 9 = 4x^2 - 9[/tex]
In terms of x, the area is given by: [tex]A = 4x^2 - 9[/tex]
If x = 30 units:
[tex]A = 4*30^2 - 9 = 4*900 - 9 = 3600 - 9 = 3591[/tex]
If x = 30 units, the area will be of 3591 units squared.
Solve for x (round to the nearest thousandth)
to
FREE
HEALTH
le
110
CA
65
40°
х
Answer:
x = 79.799
Step-by-step explanation:
Apply trigonometric ratio formula to find x.
Thus, find the adjacent side of each triangle using 40° and 65° as reference angles respectively.
✔️Adjacent length of the triangle with reference angle 40°:
tan (40) = 110/adj
adj*tan(40) = 110
Adjacent length = 110/tan(40)
Adjacent length = 131.093 (nearest thousandth)
✔️Adjacent length of the triangle with reference angle 65°:
tan (65) = 110/adj
adj*tan(65) = 110
Adjacent length = 110/tan(65)
Adjacent length = 51.294 (nearest thousandth)
✔️Find x:
x = 131.093 - 51.294
x = 79.799
X= square root of 10x-24
There is a bag filled with 6 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced. Another marble is taken at random. What is the probability of getting at least 1 red?
Answer:
5/11
Step-by-step explanation:
P(atleast 1 red) = 1 - P(no red)
P(atleast 1 red) = 1 - [(6/11)(5/11) + (6/11)(6/11)]
P(atleast 1 red) = 5/11
Answer:
6/11
Step-by-step explanation:
6+5 = 11 marbles
This is how you solve it.
Simplify the following expression:
(i-3) +6i-3(8 - i)
Answer:
10i-27
Step-by-step explanation:
(i-3)+6i-3(8-i)
(i-3)+6i-24+3i
(i-3)+9i-24
10i-3-24
10i-27
Answer:
-27 + 10i
Step-by-step explanation:
A quantity with an initial value of 3400 grows exponentially at a rate of 1.5% every 3 minutes. What is the value of the quantity after 1.65 hours, to the nearest hundredth?
Answer:
FV= 5,557.23
Step-by-step explanation:
Giving the following information:
Present value= 3,400
Growth rate (g)= 1.5% every 3 minutes
Number of periods (n)= (1.65*60) / 3= 33
To calculate the future value, we need to use the following formula:
FV= PV*(1+g)^n
FV= 3,400*(1.015^33)
FV= 5,557.23
4x^2−4x+10 and 2x^2+5x-82x^2+5x−8.
2(2x^2-2x+5) and 2(40x^2-5x+4)
Step-by-step explanation:
Answer:
4x^2−4x+10 = 2(2x^2−2x+5)
2x^2+5x-82x^2+5x−8 = 2(−40x^2+5x−4)
Step-by-step explanation:
4x^2−4x+10
Factor 4x^2−4x+10
4x^2−4x+10
=2(2x^2−2x+5)
2x^2+5x-82x^2+5x−8
Factor 2x^2+5x−82x^2+5x−8
−80x^2+10x−8
=2(−40x^2+5x−4)
The TV you want to buy costs $230.56 dollars but there is a 10 percent discount. You have $210.00 Can you buy it? Explain your reasoning.
Answer:
Yes you can by the tv.
Step-by-step explanation:
When you take the 10% off, it cost exactly 210 dollars
Solve the following equation for x 9x - 18 = 81
Answer:
x= 11
Step-by-step explanation:
or, 9x-18=81
or, 9x=81+18
or, 9x=99
or, x=99/9
or, x=11
Answer:
x=11
Step-by-step explanation:
9x−18=81
Step 1: Add 18 to both sides.
9x−18+18=81+18
9x=99
Step 2: Divide both sides by 9.
9x/9 = 99/9
Answer: x=11
Alles Company uses a job costing system that applies factory overhead on the basis of direct labor dollars. No job was in process on February 1. During the month of February, the company worked on these three jobs:
Job Number
B10 C44 G15
Direct labor ($6/hour) $ 35,000 ? $ 10,500
Direct materials 43,000 62,000 ?
Overhead applied ? 22,000 5,250
During the month, the company completed and transferred Job B10 to the Finished Goods Inventory. Jobs C44 and G15 were not completed and remain in Work-in-Process at the cost of $158,650 at the end of the month. Actual factory overhead costs during the month totaled $40,000.
Required:
1. What is the predetermined factory overhead rate?
2. Compute the amount of underapplied or overapplied overhead for February.
Questions to answers are below:
Question 1:
What is the predetermined factory overhead rate? (round answer to 2 decimal places.)
Overhead rate____?____ per direct labor dollar.
Question 2:
Compute the amount of underapplied or overapplied overhead for February. (Do not round intermediate calculations.)
Overapplied overhead ____?_____.
Answer:
The labor force participation rate and the employment-population ratio were both unchanged over the month, at 61.5 percent and 57.4 percent, respectively. These measures are up from their recent April lows but are lower than in February by 1.8 percentage points and 3.7 percentage points, respectively.Jan 8, 2021
www.bls.gov › pdf › empsitPDF
Unemployment - Bureau of Labor Statistics
What's the length of AB?
Mr Dyson bought 5 gallons of paint. He used 3/4 of the 5 gallons to paint his house how much paint did mr dyson use?
Answer:
3.9
Step-by-step explanation:
each gallon is 1.3
HELP FAST PLEASE Last year, the Humane Society of a certain city took in 21 320 animals. If the Humane Society
was open all 52 weeks that year, how many animals were taken in each week on average?
Answer:
Step-by-step explanation:
to find the average of how many animals were took in, you will divide
21320/52=410
on average, the society took in 410 animals per week
what is another way to write 6⋅(4/3)=8
Answer:
8 = 8
Step-by-step explanation:
6(4/3) = 8
8 = 8
A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .
What is the perimeter, in units, of triangle ABC ? Round your answer to the nearest tenth.
Answer:
22.4 units
Step-by-step explanation:
A triangle has vertices A (3,2), B (-5,-3), and C (-5,2) .
We solve for the units
Therefore perimeter, in units, of triangle ABC is 22.4 units
Divide the following problem:
5 ÷9/10
Answer:
5 5/9
Step-by-step explanation:
Hope this helps
6. Represent each of the following elevations using a rational number. Then, order the numbers from least to
greatest
122 meters above sea level
Cayuga Lake
1,629 meters above sea level
Mount Marcy
New York Stock Exchange Vault
15.24 meters below sea level
Answer:
-15.24m ; 122 m ; 1629 m
Step-by-step explanation:
Representing the elevation of the Given monuments with rational numbers :
The sea level is regarded as a midpoint ; or zero level whereby points below are represented as negative while points above are represented as positive
Cayuga lake = 122 meters above sea level = + 122 meters
Mount Marcy = 1,629 meters above sea level = + 1629 meters
New. York stock exchange vault = 15.24 meters below sea level = - 15.24 m
Arranging from least to highest :
-15.24m ; 122 m ; 1629 m
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round you answer to the nearest tenth.
Answer:
7.1
Step-by-step explanation:
write pythagorean theorem [tex]x^{2}[/tex] + [tex]x^{2}[/tex] = [tex]10^2[/tex]
2[tex]x^2[/tex] = 100
divide 2 both side:
[tex]x^{2}[/tex] = 50
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{50}[/tex]
[tex]x[/tex] = [tex]\sqrt{50}[/tex]
[tex]x[/tex] = 7.07106781
round to nearest tenth:
[tex]x[/tex] = 7.1
PLEASE ANSWER WILL MARK BRAINLIEST You play a board game with your little brother. You pick a card that sends you back five spaces. On your next turn, you must move back three more spaces. On your third turn, you get to move forward three spaces. Which expression best shows how you could find your new spot on the game board?
ANSWER CHOICES
-5 + (-3) + (-3)
-5 + 3 + 3
-5 + (-3) + 3
5 + (-3) + (-3)
Answer:
-5 + (-3) + 3
Step-by-step explanation:
Answer:
-5 + (-3) + 3
Hope this helps :)
simplify
(x-y)square2 +(2x+3y)square2
Jasmine evaluated the expression3x + 2when x= 5.
3x+2
35+2
37
Explain Jasmine's mistake.
No, jasmine did not get it right, 3x+2=15. its not that hard to do. all you gotta do is multiple 3 with x then add 2 and you will get your answer
Simplify the following Expression by combining like terms: *
8x2 - 7x – 8 - 11 + 3x2 + 4x
Answer:
option 2
Step-by-step explanation:
2/3x-1/3y=2 in slope intercept form
Answer:
y=2x-6
Step-by-step explanation:
How many different triangles can you make if you are
given these three measurements for angles?
25
120°
35
00
с
0
1
2
3
(infinitely many)
Select the number line that shows that two opposite numbers have a sum of
0.
7
O A.
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
3
OB. +
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
2
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12
D.
Answer:
this question is kinda everywhere can you tell me what it is asking
Step-by-step explanation:
An object's temperature cools exponentially after it is removed from a furnace (hot oven). If its initial temperature is 730°C and it cools at a rate of 2.95% per minute, find the object's temperature after 18.0 minutes.
Answer:
The object's temperature after 18 minutes is of 426ºC.
Step-by-step explanation:
The temperature after t minutes is modeled by an exponential function, which has the following format:
[tex]T(t) = T(0)(1-r)^{t}[/tex]
In which T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Its initial temperature is 730°C and it cools at a rate of 2.95% per minute
This means that [tex]T(0) = 730, r = 0.0295[/tex]. So
[tex]T(t) = T(0)(1-r)^{t}[/tex]
[tex]T(t) = 730(1-0.0295)^{t}[/tex]
[tex]T(t) = 730(0.9705)^{t}[/tex]
Find the object's temperature after 18.0 minutes.
This is [tex]T(18)[/tex]. So
[tex]T(t) = 730(0.9705)^{t}[/tex]
[tex]T(18) = 730(0.9705)^{18} = 426[/tex]
The object's temperature after 18 minutes is of 426ºC.
The required value of the object's temperature after 18.0 minutes is 425.83.
Given that,
An object's temperature cools exponentially after it is removed from a furnace (hot oven).
If its initial temperature is 730°C and it cools at a rate of 2.95% per minute,
We have to determine,
Find the object's temperature after 18.0 minutes.
According to the question,
The initial temperature is 730°C and it cools at a rate of 2.95% per minute,
The temperature after t minutes is modeled by an exponential function, which has the following format is,
[tex]= T(t) = T(0).(1-r)^t[/tex]
Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.
Then,
T(0) = 730°c and r = 2.95% = 0.0295
Substitute all the values in the equation,
[tex]= T(t) = T(0).(1-r)^t\\\\= T(t) = 730 \times (1-0.0295)^t[/tex]
Therefore,
The object's temperature after 18.0 minutes is,
[tex]= T(t) = T(0).(1-r)^t\\\\= T(18) = 730 \times (1-0.0295)^{18}\\\\= T(18) = 730 \times 0.5833\\\\ = T(18) = 425.8361[/tex]
Hence, The required value of the object's temperature after 18.0 minutes is 425.83.
To know more about Exponential Function click the link given below.
https://brainly.com/question/25678010
Which undefined geometric term can be described as a one-dimensional set of points that has no beginning or end?
point
line
plane
distance
Answer:
B. Line
Step-by-step explanation:
got it right on edge 2021
Answer:
line
Step-by-step explanation:
How do I graph the solution
2.14a
+1.b25
______
c.865
how do I solve this and what are the answers for a. b. and c.
Answer:
a=0, b=7, c=3
Step-by-step explanation:
Addition
The following addition is shown, where a,b, and c are unknown:
2.14a
+ 1.b25
-------------
c.865
We'll determine the values of the unknown variables by following the rules of addition.
The last column shows a+5=5. Since a cannot be greater than 9, thus a must be 0.
a = 0
This sum produces no carry.
Now we have 4 + 2 = 6
This is already correct and no variable needs to be calculated
Now we have 1 + b = 8. This leads to b=8-1=7
b = 7
This sum produces no carry.
Finally: 2 + 1 = c. This implies that
c=3
Substituting in the addition:
2.140
+ 1.725
-------------
3.865
