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.
Each of the 90 fourth-grade students at North Elementary read 30 books over the school year.
How many books did they read all together?
Answer:
2700
Step-by-step explanation:
PLEASEEEEE HELP ME
yes, hl
yes, asa
no not enough info
yes, sas
Answer:
a) Yes, HL
Step-by-step explanation:
[tex]We\ know\ that:\\Both\ triangles\ are\ right\ triangles. (90\ degree)\\They\ share\ a\ common\ side.\\They\ have\ their\ hypotenuses\ corresponding.\\Hence,\\Through\ HL(If\ the\ hypotenuse\ and\ any\ leg\ of\ the\ triangles\ are\ corresponding,[/tex][tex]then,\ the\ two\ triangles\ are\ congruent.)[/tex]
[tex]We\ can\ hence,\ conclude\ that\ the\ given\ triangles\ are\ congruent.[/tex]
I need help with that plzzzzzz
Answer:
.25 or 25%
Step-by-step explanation:
I simplied it to 30 and 7 so then I expiremended with different percents and got that 25 percent equals 7.5 so I checked it and is 25 %
Triangle PQR has angles in the ratio of 2:3:5.
Which type of triangle is APOR?
1) acute
2) isosceles
3) obtuse
4) right
What is the answer???
Answer:(4) right angle
Step-by-step explanation:
you need to get 180 right solve it from there
The angle is 90degrees, hence the triangle PQR is right triangle
The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.
Sum of the ratio = 2 + 3 + 5
Sum of the ratios = 10
For the ratio of m<P:
<P = 2/10 * 180
<P = 36 degrees
For the angle m<Q
m<Q = 3/10 * 180
m<Q = 54 degrees
For the angle R;
m<R = 5/10 * 180
m<R = 90 degrees
Since one of the angles is 90degrees, hence the triangle PQR is right triangle
Learn more on angles here: https://brainly.com/question/14362353
ming took a cab across town. His fare was $22, and he leaves a 18% tip. What is the total amount Ming pays to the cab driver?
Answer:
25.96
Step-by-step explanation:
18% of 22 is 3.96
3.96+22=25.96
What sentence represents the number of points in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
A. The number of multiple-choice question points plus the number of
short-answer question points is 25.
B. The number of multiple-choice question points plus the number
of short-answer question points is 25.
C. The number of multiple-choice question points times the number
of short-answer question points is 80.
D. The number of multiple-choice question points plus the number of
short-answer question points is 80.
Answer:
Option D: The number of multiple-choice question points plus the number of short-answer question points is 80 is the correct answer.
Step-by-step explanation:
Given that:
Points worth of test = 80 points
There are Multiple choice questions worth 2 points and short answer questions worth 4 points.
2x+4y=80
Thus,
The number of multiple choice questions points plus the number of short answer question points is 80.
Hence,
Option D: The number of multiple-choice question points plus the number of short-answer question points is 80 is the correct answer.
HELPPP!!!! MEEE!!!!! WITH!!!! MATH!!!!
Answer:
B
Step-by-step explanation:
A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. The real-estate company also appraised the market value of 45 homes in Aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. Calculate the 90% confidence interval estimate for the population difference in market value between the Lyttelton and Aranui areas .
Solution :
Sample size Sample mean Sample S.D.
Sample 1 [tex]$n_1=36$[/tex] [tex]$\bar{x}_1=150,000$[/tex] [tex]$s_1=17,000$[/tex]
Sample 2 [tex]$n_2=45$[/tex] [tex]$\bar{x}_2=100,000$[/tex] [tex]$s_2=12,000$[/tex]
[tex]$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$[/tex]
= 60
Therefore, significance level, α = 0.1
Critical value, t* = 1.6706
So, the margin of error, [tex]$t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$[/tex]
= 559.9896
Lower limit, [tex]$(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$[/tex]
Upper limit, [tex]$(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$[/tex]
Therefore 90% C.I. is (44402.0104, 55597.9896) or [tex]$44402.0104 < \mu_1 - \mu_2 < 55597.9896$[/tex]
The measures of two supplementary angles are ( 2x-11 )° and ( 3x+1 )°. Find the value of x.
If the diameter of a circle is 7m, what is the nearest tenth?
Answer:
Answer rounded to the nearest tenth is 44
Have a great day :D and can I have Brainliest?
Mazie bought a bike during a 20% off sale and saved $16. What was the original price?
Answer:
$80. Which means she spent $64 with the sale, but the original price is $80.
Step-by-step explanation:
16 is 20% of 80
Answer
The answer is $120.00
Options
What was the price of the bicycle when Mazie bought it?
$140.00
$149.80
$130.00
$120.00
Explanation
Multiply the price of the bike by the discount percentage
150 * 0.20 = 30
Subtract the number you just found from the original price
150 - 30 = 120
There is your answer
You could take a shortcut by doing the following
1 - 0.20 = 0.80
Then multiply the original value by the new percentage
150 * 0.80 = 120
Personally I like the first method because it makes more sense.
A local sawmill sells a total of 250,000 board feet of hardwood each year. The ratio of softwood sold to hardwood sold is 5: 3. Write and solve a ratio to find the amount of softwood sold each year. Round your answer to the nearest thousand.
Answer:
look i need help on the smae thing so sorry
Step-by-step explanation:
Here are 5 lines on a coordinate grid:
Write equations for lines a,b,c,d and e
a:
b:
c:
d:
e:
Answer/Step-by-step explanation:
✔️Equation for line a:
Line a is a vertical line, hence, the slope is undefined. Equation of a vertical line is given as x = k. Where k is the x-intercept and would remain the same irrespective of the corresponding y-coordinates of all the other points on the vertical line.
In line a, the x-intercept is -4. Therefore, the equation for line a would be:
✅ x = -4
✔️Equation for line b:
Line b is also a vertical line, and would be represented as x = k.
The value of k is the point olwhere the line intercepts the x-axis.
Thus, k = 4.
Equation for line b would be:
✅ x = 4
✔️Equation for line c:
Line c is an horizontal line. Slope (m) of a horizontal line is always 0.
It can be represented in slope-intercept form, y = mx + b, where,
m = slope = 0
b = y-intercept = 4 (this is where the y-axis is intercepted by the line)
Thus, substitute m = 0, b = 4 in y = mx + b.
The equation for line c would be:
y = (0)(x) + 4
✅y = 4
✔️Equation for line d:
Slope (m) = 0
y-intercept (b) = -2
Substitute m = 0, and b = -2 in y = mx + b
Equation for line d awould be:
y = -2
✔️Equation for line e:
Slope (m) = [tex] \frac{rise}{run} = -\frac{3}{4} [/tex]
y-intercept (b) = 1
Substitute m = -¾, and b = 1 in y = mx + b
Equation for line e would be:
✅y = -¾x + 1
Patrick spent 8 minutes on the phone while routing 2 phone calls. If he routes 4 phone calls, how much time will Patrick have spent on the phone in total? Assume the relationship is directly proportional.
? minutes
Answer:
16
Step-by-step explanation:
8 divided by 2= 4
4 multiplied by 4= 16
Answer:
16
Step-by-step explanation:
is there anything after 16a+20 ?
Answer:
The equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
Step-by-step explanation:
Given the expression
[tex]4(4a+5)[/tex]solving the expression to determine the equivalent expression
[tex]4\left(4a+5\right)[/tex]
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]4\left(4a+5\right)=4\cdot \:\:4a+4\cdot \:\:5[/tex]
[tex]=16a+20[/tex]
Taking 2 as the common factor
[tex]=2\left(8a+10\right)[/tex]
Also
[tex]12a+20+4a = 16a+20[/tex]
Therefore, the equivalent expressions are:
[tex]4\left(4a+5\right)=16a+20[/tex]
[tex]=2\left(8a+10\right)[/tex]
[tex]=12a+20+4a[/tex]
Yes, 16a+20 could be further reduced by taking 2 as a common factor.
i.e. 16a+20 = 2(8a+10)
In 5.5 minutes you are able to type 297 words. What is your rate in words per minutes?
Answer:
54 words typed in one minute.
Step-by-step explanation:
1. If you divide 297 by 5.5 you will get your answer
ANSWER: 54 words/ 1 minute
absolute value inequality
4 |x+7| divided by 3. ?
Answer:
4 |x+7| divided by 3.
Step-by-step explanation:
This cannot be divided any further.
Is anyone good at writing? If you are plz help me with the question below.
How would you describe Betty's actions during the black blizzard? What does it reveal about Betty? This has to be 1 paragraph or less.
Answer:
Could you add a photo of the story being referred to the question? That would help
Step-by-step explanation:
Answer:
Betty was courageous and fearless in rescuing the colt, Fancifoot from the dust storm and in calming little Mary Ann. She cared less if you would be injured or blown away by the dust storm. Her actions revealed her love and care for the colt It also revealed her courage, determination, fearlessness and care.
Step-by-step explanation:
Maurine V. Elder, in this short story reveals the experiences of people who lived through the Dust Bowl. The Dust Bowl is a period of intense dust storms which occurred during the 1930s in parts of Kansas, Oklahoma, Colorado and other neighboring states. The dust storms is usually called the "black blizzard" In this short story, Elder explores the experience of Betty and Mary during the dust storm while their parents were away. Elder revealed Betty's actions as she took charge of the situation.
Please help, I have nothing good to offer though.
Which inequality is true? 5/6 < -1/3
2 1/3 > 2 1/6
2 < -2 1/3
1 1/4 > 1 1/3
What theorem proves that this congruent
sss
Step-by-step explanation:
side side side
all 3 or congruent
There are 16 forwards and 40 guards in Leo's basketball league. Leo must include all players on a team and wants each team to have the same number of guards. If Leo creates the greatest number of teams possible, how many guards will be on each team?
List the multiples of each number:
16: 1, 2 , 4, 8 , 16
40: 1, 2 , 4 , 5, 8, 10, 20, 40
The greatest common multiple is 8
40 guards / 8 = 5
There will be 5 guards on each team.
Pls. Help me!!!!!!!!!!!!!!!!!!
Answer:
d i think
Step-by-step explanation:
Answer: C
Step-by-step explanation:
our points are
(0, 64) and (17, 30)
slope = 30-64/17-0 = -34/17 = -2
y=-2x+64 aka C
I will give brainliest but please help
Step-by-step explanation:
25+50x=25+45x
then the answer you get from that you multiply it by 4 sorry if incorrect
y2 – x2 = 16 please help
PLEASE HELP ASAP!??!?!? THERE IS 4 PAGES
Answer:
I am sorry but is the last time I can help you!
I wish you all the best!
Geometry...Please help as soon as possible please and Thank you!!!
Answer:
Step-by-step explanation:
Statement1. ST║UV
Reason 1. Given
Statement 2. ∠U≅∠T (A)
Reason2. Alternate interior angles
Statemnt 3. ST≅UV (S)
Reason3. Given
Statement 4. ∠S≅∠V (A)
Reason 4. Alternate interior angles
Statment5. ΔSTW≅ΔVUW
Reason5. ASA theorem of congruency
Answer:
GOOD LUCK ❤️
Step-by-step explanation:
.........
What is 10+10=? Please Help :P
Answer:
Your Answer is 20
Step-by-step explanation:
Add 1 Side Then The Other!
1 0
+ 1 + 0
= 2 = 0
20
Hopes This Helps :)
Doh! How Did This Hurt My Brian?
Wait What Brain?
Answer:
20 :)
Step-by-step explanation:
1+1=2,
And you add the zero.
need help plez fast :)
Answer:
The answer is c you're welcome
Step-by-step explanation:
Answer: 150
Step-by-step explanation: just divide 450 by 3
Write the sentence as an inequality and graph it; a number n is less than or equal to -7 or greater than 12.
Answer:
n <_-7 > 12
Step-by-step explanation:
Edgar bought candy and popcorn for a group of friends at a basketball game. A bag of candy costs $2.50 and a bag of popcorn costs $3.50. He purchased 8 items for a total of $22.00. What system of equations could be used to find how many bags of candy c, and how many bags of popcorn p, that he bought? Group of answer choices
Answer:
im very very excited today because its my dogs b-day, int that great?
Step-by-step explanation:
Answer:
Are we ansering which system of equations, or how many bags he bought, or both?
Step-by-step explanation: