Answer:
The resistance is decreasing at a rate of 0.36 ohms/minute.
Step-by-step explanation:
The mathematical form of the Ohm's law is given by :
V = IR ...(1)
Where V is voltage, I is current and R is resistance
Given,
I = 5 A
R = 6 ohms
dI/dt = 0.3 A/min
Differentiate equation (1) wrt t:
[tex]\dfrac{dV}{dt}=I\dfrac{dR}{dt}+R\dfrac{dI}{dt}[/tex]
When V is constant, dV/dt = 0
[tex]0=5\times \dfrac{dR}{dt}+6\times 0.3\ A/s\\\\1.8=-5\times \dfrac{dR}{dt}\\\\\dfrac{dR}{dt}=-0.36\ \Omega/min[/tex]
So, the resistance is decreasing at a rate of 0.36 ohms/minute.
What is the coefficients of x4 in the expansion of (1+x)4(1+2x)3.
By the binomial theorem,
(1 + x)⁴ = 1 + 4x + 6x² + 4x³ + x⁴
(1 + 2x)³ = 1 + 6x + 12x² + 8x³
In the expansion of (1 + x)⁴ (1 + 2x)³, we get an x⁴ when multiplying
• x⁴ and 1 to get x⁴;
• 4x³ and 6x to get 24x⁴;
• 6x² and 12x² to get 72x⁴; and
• 4x and 8x³ to get 32x⁴.
Add these up:
x⁴ + 24x⁴ + 72x⁴ + 32x⁴ = 129x⁴
2. A maintenance crew is paving a road in 7-hour shifts. After
10 shifts, 1.25 miles of road have been paved. After 45 shifts,
5.625 miles of road have been paved. At what rate is the
maintenance crew paving the road in miles per shift?
What is the independent quantity?
What is the dependent quantity?
How many miles are paved per shift worked?
miles/shift
Answer:
The answer is the first one
Step-by-step explanation:
If x is 5, then 6x=??
Answer:
30
Step-by-step explanation:
since x=5, and it's 6x, it'd be the same as 5x6, or 6(5).
Answer:
I think it should equal 30
Step-by-step explanation:
If x is 5 it would be 6(5) so you multiply 6 and 5 which equals 30
(sorry if i'm wrong)
Enter an equation to describe the linear relationship.
The temperature, y, of a pot of water is 45 °F. The temperature increases by 25 °F per minute,x , when being heated.
The equation is y=
33 is 90% of what number? Round to the tenths place.
Answer:
36.7
Step-by-step explanation:
Since 33 is 90% of a number, you can divide 33 by 9 to get 3 2/3. This 3 2/3 is 10% of the number, so multiply 3 2/3 by 10 to get 36 2/3. 36 2/3 rounded to the nearest tenth is 36.7, so there's your answer. Hope it helps!
Mr. Alvarez is buying every boy on his son's football team a new football. The footballs are sold in packages of 4. There are a total of 15 boys on the football team.
Part A:
In order for every boy to receive a football, how many packages of footballs does Mr. Alvarez need to buy?
Part B:
Using your findings in Part A, if every package costs $20.97, how much will Mr. Alvarez spend on footballs? PLEASEE HELP
Answer:
A)4 packs of footballs
B)$83.88
Step-by-step explanation:
If every boy needs a football then he is unable to buy just 3 cause then he would only have 12 footballs
3*4=12
So he would need 4 packs of footballs
B) because he needs 4 packs he multiplies 4 by 20.97 a pack.
4*20.97=83.88
Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?
there are 325 7th graders in 12 classes . determine the unit rate
Help me solve these two find the value of x please help
Hi there!
[tex]\large\boxed{\text{x = 12, x = 5}}[/tex]
Problem 1:
The angles pictured are vertical angles, so each will be equivalent. Therefore:
(5x + 5)° = 65°
Subtract 5 from both sides:
5x = 60
Divide both sides by 5:
x = 12°.
Problem 2:
The two angles are supplementary, so they add up to 180°. Therefore:
180° = (9x)° + (12x + 75)°
180 = 9x + 12x + 75
Combine like terms:
180 = 21x + 75
Subtract 75 from both sides:
105 = 21x
Divide both sides by 21:
x = 5°.
At a firefighters' pancake breakfast, the firefighters served 345 people and raised $1395. As adult's ticket to the pancake breakfast was $5 and the cost of a child's ticket was $3. What was the number of child and adult tickets sold?
Answer:
Number of adult tickets = 180
Number of child tickets = 165
Step-by-step explanation:
Given:
Total number of ticket = 345
Total amount = $1,395
Cost of adult ticket = $5
Cost of child ticket = $3
Find:
Number of child and adult tickets
Computation:
Assume;
Number of child tickets = a
Number of adult tickets = b
So,
a + b = 345...........eq 1
3a + 5b = 1,395...........eq2
3 x in eq 1
3a + 3b = 1,035.........eq3
eq2 - eq3
2b = 360
b = 180
Number of adult tickets = 180
a + b = 345
a = 165
Number of child tickets = 165
The price of mangoes in a grocery store is 3 for $5. How much will 5
mangoes cost? Round the answer to the nearest hundredth.
Answer:
8 and one thirds
Step-by-step explanation:
5 times 5 is equal to 25 and 25 divided by 3 is 8.3333
Answer:
$8.33
Step-by-step explanation:
So, to figure out how much one mango costs, I did $5 divided by 3, which gave me 1.66.
I then multiplied that by 5 to see how much 5 mangos cost, and I got $8.33
1) In 2000, there were approximately 109 million cell phone users in the United States. The number of cell
phone users grew to approximately 189 million after one year.
a) Write an exponential model that represents the number of cell phone users in the United States, where t
represents the number of years after 2000.
[2]
[1]
b) What is the percent rate of change?
[1]
c) What would be the number of cell phone users in 2015?
[3]
2) Which statement applies to the graph of f(x)=e* below.
Answer:
the answer is 298
Step-by-step explanation:
- There are 75 cars at a dealership. 35 are blue or red. Suppose 16 are red and 3 are
both.
How many cars are just blue ?
How many cars are neither blue or red?
Answer:
19 are blue
37
Step-by-step explanation:
35 - 16 = 19
35 + 3 = 38 & 75 - 38 = 37
There is a shirt that originally costs $10.00. Now it is 45% off. How much is the shirt after the discount?
Answer:
$5.50
Step-by-step explanation:
1.) The first step is finding what 45% of $10 is. We can do this by turning 45% into a decimal number (45%=0.45). We then multiply 0.45 by the $10.
2.) 0.45×$10=$4.50 ; We just found that 45% of $10 is $4.50
3.) Because the shirt is 45% less than the original price (45% off), we need to subtract the 45% (which is equal to $4.50) from the original price, $10
4.) $10-$4.50=$5.50, the new price
A group of 8 children and 10 adults ate going to a movie. Child tickets cost $2 and adults tickets cost $4. How much will the movie tickets cost in all ?
Answer:
56$
Step-by-step explanation:
8*2=16
10*4=40
16+40=56
The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yard of fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?
Chloe cut enough fabric because she cut the amount of fabric for the skirt.
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
Chloe did not cut enough fabric because she only cut the amount of fabric for the skirt.
Chloe did not cut enough fabric because she only cut the amount of extra fabric.
Answer:
D
Step-by-step explanation:
She only cut the 15% extra and no the other 75%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that The directions on a sewing pattern say to cut an extra 15% of fabric to account for errors. Chloe needs 0.75 yards of fabric to make a skirt, and she cuts 0.1125 yards.
Calculate the percentage of the fabric from the given data,
Percentage = 0.1125 / 0.75
Percentage = 0.15 x 100
Percentage = 15%
Chloe cut enough fabric because she cut enough fabric for the skirt and the amount of extra fabric.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2
2.) Find the measure of exterior angle X
Answer:
x = 90
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, then
x = ∠ A + ∠ B = 30 + 60 = 90
expand and simplify completely (log). PLEASEE HELP ASAP!!! I WILL GIVE BRAINLIEST!! thank you so much!!!!
Answer:
c. [tex]2 log3(y)+1+log3(x)[/tex]
Step-by-step explanation:
When expanding and simplifying, we can see that the answer is [tex]1+log3(x) + 2log3(y)[/tex], which matches Answer Choice C.Answer:
( C ) 1+log3x+2log3y
Step-by-step explanation:
Braniliest
What is the value of of x when 3x = 54?
A) x = 18
B) x = 51
C) x = 57
D) x = 162
A) x = 18
3x = 54
=> x = 54/3
=> x = 18
Answer:
A) x= 18
Step-by-step explanation:
I took the test on USA TEST PREP. Also cause ima smarty pants.
The Hydro water department has a monthly service charge of $12.90 and a volume charge of $1.67 for every 100 cubic feet of water. The total monthly cost is equal to the service charge plus the charge for the volume used during the month. If we let x represent the number of cubic feet of water (in hundreds) and y represent the total monthly cost, then we have: total monthly cost = volume charge + service charge y = 1.67x + 12.90 If the Johnson family used 200 ft3 more water this month than last month, then they can expect
Answer:
y = $346.90
Step-by-step explanation:
Given:
y = 1.67x + 12.90
Where,
y = total monthly cost,
x = month. If we let x represent the number of cubic feet of water (in hundreds)
If the Johnson family used 200 ft3 more water this month than last month, then they can expect
x = 200 ft³
y = 1.67x + 12.90
y = 1.67(200) + 12.90
= 334 + 12.90
= 346.90
y = $346.90
Need help ASAP plzzz
Answer: D
Step-by-step explanation: i did the math
A system of two linear equations has infinite solutions. What does this tell you about the graph of the system?
А) The system graphs as parallel lines.
B) The system graphs as one line
C) The system graphs as perpendicular ones.
D) The system graphs as intersecting lines
Answer:
B) The system graphs as one line.
Step-by-step explanation:
The solutions of systems are basically the points where the two lines of the linear equations meet, or intersect.
So, picture it like this: if a system of linear equations has INFINITE (never-ending) solutions, then it must mean that the two lines intersect at EVERY single one of their points. And if they intersect at every one of their points, then that must mean that they are the same line, even if the equations are written differently.
Hope this helps!
Maria has a job picking apples. She can pick 52 apples per hour. How many apples can she pick in 45 minutes.
Answer:
39
Step-by-step explanation:
Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 and has earned $26. How many apples does she need to sell to reach her goal?
Answer:
7 apples
Step-by-step explanation:
40 - 26 = 14
14 / 2 = 7
In a family of 11, what is the probability that there will be more boys than girls
Answer:
P(all female)= 1/2 x 1/2 x 1/2 = 1/8
P(all male ) = 1/2 x 1/2 x 1/2 = 1/8
P(all one gender) = P(all female) + P(all male) = 1/8 + 1/8 = 1/4
What is the probability that a three-child family is two girls and one boy?
Each possible birth order has P=1/8. That is, P(G,G,B)=P(G,B,G)=P(B,G,G)=1/8.
So, P(2G,1B)= 3/8 and P(1G,2B)= 3/8.
This allows us to write the overall gender probability distribution for families of three children as follows:
1/8 will be three girls
3/8 will be two girls and one boy
3/8 will be one girl and two boys
1/8 will be three boys
Adding it all up, we have 1/8 + 3/8 + 3/8 + 1/8 = 1 (100%)
Step-by-step explanation:
Can exponents be integers
Answer:
NO
Step-by-step explanation:
Exponents are expressed as numbers or variables in superscript above a base number. When the exponent is equal to or greater than 2, it directs how many times the base number is to be multiplied. The numbers 1 and 0 are special exponents, and negative integers as exponents stand for reciprocal values.
Answer:
It matters of what the whole number in front is.
Step-by-step explanation:
For example: 6 to the power of 2 = 36
if the first number is a decimal: 1.6 to the power of 2.56
Its NOT an exponent if the starting number is a decimal usually.
help!!!!!! asap please!
Answer:
ITS ONE
Step-by-step explanation:
WHEN YOU MULTIPLY 1X1 YOU GET ONE
Calculate the area of the rectangle.
Answer:
12
Step-by-step explanation:
You count all of the blue squares
What is the value of x?
155
105
A. 55°
B. 160°
C. 50°
O D. 20°
PLEASE HELP WITH THE 2
Answer:
ok good luck jsjsksksksksks
Answer:
y=32
Step-by-step explanation:
45+z+y=180
z=103 by the exterior angle theorem
45+103+y=180
148+y=180
y=32