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
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
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
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
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)
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:
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
GCF of 20 and another number is four. Which of these could be the other number
Answer:
36
Step-by-step explanation:
4 x 9=32
Answer:
5
Step-by-step explanation:
GCF of 20 is 5 and 4. Let's look at our information, we have one of the GCF (Greatest Common Factor) which is 4. We can divide 20 by 4 to get our answer of 5. To check your work you can also multiply 4 and 5 to get 20.
Hope this helped have a great day! :)
If I helped would you mind giving me brainliest? Please and thank you!
Write the system first as a vector equation and then as a matrix equation.
2x1 + x2 - 3x3 = 6
3x2 + 10x3 = 0
Write the system as a vector equation where the first equation of the system corresponds to the first row.
A. x1 + x2 + x3=_____.
B. [x1 x2 x3] =____.
C. [x1
x2
x3] = ____.
Write the system as a matrix equation where the first equation of the system corresponds to the first row.
Answer:
x3 is 60 and 30 x53,x3,552,5 0,35 /443,/4
Step-by-step explanation:
there
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
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.
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 is the estimated probability that at least two of the puppies will be
female?
O A. 5/10 = 50%
O B . 8/10 = 80%
O C. 3/10 = 30%
O'D. 7/10 = 70%
Please answer this correctly without making mistakes
Answer:
5 tons and 8 pounds
Step-by-step explanation:
1 ton is equal to 2000 pounds.
40 tons is equal to 80000 pounds (40*2000)
80000+64=80064
80064/8 = 10008
10008 is equal to 10000+8
10000/2000 = 5
5 tons and the leftover 8 is pounds
Hope I was able to help! Good Luck!
Last semester, the alumni association raised $240 for activities. This semester, it raised 120% of last semester amount. How much did the alumni association raise for both semesters?
A.288
B.528
C.768
D.1056
Answer:
HOLY FUUUUUUUUUUUUUUUUUUUUCK
(write this in Ur note book)
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
What is the perpendicular slope of m= -3/2
Answer:
-2/3
Step-by-step explanation:
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 :)
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)
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
X= square root of 10x-24
How many triangles can be constructed with angles measuring 10°, 30°, and 90° ?
Answer:
There are an infinite number of triangles which can be constructed with angles measuring this.
There are an infinite number of lengths the sides of the triangles can be while the angles stay the same measur
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
What's the length of AB?
How do I graph the solution
10 Problem-solving A class of 27 students is split between boys and girls
in the ratio of 5:4.
Work out the probability that two students chosen at random are both boys.
Answer:
15:27
Step-by-step explanation:
27 kids in the class and 15 boys
PLZ HELP
WILL GUVE BRAINLIEST IF CORRECT
Answer:
the answer is A
Step-by-step explanation:
so the numbers are just a fill in but yes the answer is A
What music selection is played by the United States Marine Band at the beginning of the swearing in ceremony at the Joe Biden Inauguration?
Answer
HIIIII
Step-by-step explanation:
The sum of 3x^2 + 4x -2 and
x2 - 5x + 3 is
a. 4x2 + x - 1
b. 4x2 - X + 1
C. 4x2 + x + 1
d. 4x2 - X-1
Answer:4x2 -x + 1
Step-by-step explanation:
Simplify the following Expression by combining like terms: *
8x2 - 7x – 8 - 11 + 3x2 + 4x
Answer:
option 2
Step-by-step explanation:
