Answer:
70 amps
Step-by-step explanation:
The current I is inversely proportional to the resistance R
I=k/R (k is the constant of proportionality)
A) I=210 amperes
R=4 ohms
I=k/R
k=I×R
k=210×4=840
B) R=12 ohms
k=840
I=k/R
I=840/12=70 amperes
The current will be 40 mA when the resistance is 15 ohms.
What is Ohms law?Ohms law says that the current running through the conductor is directly proportional to the potential difference across its extremities as long as the temperature and other physical conditions are constant.
Ohms law formula is -
V=IR, Where
Voltage is V and is measured in Volts,
The current flowing through the conductor is I and it represented in amperes and the resistance is R and is measured in ohms.
Given that, the voltage, V, in an electric circuit is held constant, If the current is 120mA when resistance is 5 ohms,
120 mA = 0.12 A
Therefore,
V = IR
V = 0.12 × 5
V = 0.6 volts
Now, when the resistance is 15 ohms, the current will be =
0.6 = I × 15
I = 0.6 / 15
I = 0.04 A
I = 40 mA
Hence, the current will be 40 mA when the resistance is 15 ohms.
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In a circle, the length of an arc intercepted by a central angle is 12mm, and the radius of the circle is 8 mm. What is the measure, in radians, of the circle
Answer:
Step-by-step explanation:
S = 12mm
r = 8mm
What is the measure, in radians, of the circle or central angle?
The measure of a circle in radians is 2 radians. I think you want the central angle thata.
theta = S/r radians
theta = 12/8 radians
theta = 1.5 radians for the central angle
The measure in radians of the circle is 1.5π radians
What is central angle?The angle between two radii of a circle is known as the central angle of the circle.
given: S = 12 mm
r = 8 mm
circumference of a circle=2π radians
Since, 16π=2π radians.
1π= 2π /16
for,
12π =2π /16 *12
= 3/2*π
= 1.5π
[tex]\theta[/tex] = 1.5π radians
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Solve 7x^2–20x = 3.
;
Answer:
x=3, -1/7
Step-by-step explanation:
7x^2-20x-3=0
Factor.
(x-3)(7x+1)=0
x-3=0 ⇒ x=3
7x+1=0 ⇒7x=-1 ⇒x= -1/7
Answer:
[tex]x = \frac{-1}{7}[/tex] or [tex]x = 3[/tex]
help asap pls! (Apply PEMDAS if needed)
Answer:
10
Step-by-step explanation:
You just plug x into the expression and then you simplify:
30-2^2*x+12÷3
We know that x=6
30-(2^2)(6)+12/3
30-(4)(6)+4
30-24+4
10
Which statement describes the behavior of the function f(x)= 3x/4-x
Answer:
-3
Step-by-step explanation:
i sarched it up
find the effective rate corresponding
to the nominal rate. 4% compounded monthly
Answer:
4.07%
Step-by-step explanation:
To obtain the effective rate :
We use :
(1 + r/m)^m - 1
r = rate = 4% = 0.04
m = number of compounding times per year = 12
Effeective rate :
(1 + 0.04/12)^12 - 1
1.0407415 - 1
Effective rate = 0.0407415
0.0407415 * 100%
= 4.07%
a) -4/5
b) -5/4
c) 4/5
d) 5/4
Answer:
d) 5/4
Step-by-step explanation:
The gradient is change in y over change in x
hope it makes sense
:)
Completează casetele cu numărătorii potrivit pentru ca relațiile sa fie adevărate
Answer:
si
Step-by-step explanation:
A circle has a diameter of 8.2 m. What is the area of a sector with a 125 degree
arc? Round your answer to the nearest tenth. *
Answer:24.2 m
Step-by-step explanation: yea u gotta use the metric system
I WILL GIVE BRAINLIEST IF YOU HELP
Find the area of the polygon below in square units.
Answer:
20 square units
Step-by-step explanation:
this polygon is a trapezoid
the formula to find the area is 1/2(b1+b2)h
If you were to rotate the image counterclockwise you would see that b1 = 6 untis and b 2 is 4 units and the height would be 4 units
when you plug that into the calculator you get
1/2(6+4)4 = 20 square units
Car = V-8 sedan
Years driven = first and second
Miles driven = 15.500 miles first year and 14,500 miles second year
The cost of depreciation will be $
Answer:
$500
Step-by-step explanatioThe numberber of years driven is the first and second year
= 2
Miles driven
First year= 15,500
Second year= 14,500
Therefore the cost of depreciation can be calculated as follows
15,500-14,500/2
= 1000/2
= 500
Hence the cost of depreciation is $500
The answer is: 2,318
First year on the graph: 8.5
Second year on the graph: 6.9
First year:
15,500 x 8.5 = 131,750
131,750/100 = 1,317.50
Second year:
14,500 x 6.9 = 100,050
100,050/100 = 1,000.50
1,317.50 + 1,000.50 = 2,318
Pwease help this is very important I will give you brain thing if its correct ♡
Answer:
1. x-8
2. I dont know sorry
Step-by-step explanation:
Answer:
1. 8 - x
The answer is 8 - x because the plant is 8 inches tall total this week, and to get how many it grew you would subtract it's height last week from 8.
2. The other expression, x - 8, could show how much a plant wilted, if it did. If the height went down, subtracting 8 from x could show how much the plant wilted.
Step-by-step explanation:
:-) hope this helps!
YO SOMEONE HELP MEEE
Answer:
x= -14
Step-by-step explanation:
Can anyone help me out here !
ATCs are required to undergo periodic random drug testing.
A simple, low-cost urine test is used for initial screening. It has been reported that this particular test has a sensitivity and specificity of 0.96 and 0.93. This means that if there is drug use, the test will detect it 96% of the time. If there is no drug use, the test will be negative 93% of the time.
Based on historical results, the FAA reports that the probability of drug use at a given time is approximately 0.007 (this is called the prevalence of drug use).
Draw a probability tree for the situation. (Use this order for the tree: Drug Use(yes/no) -> Test Result(+/-) -> Joint Probabilites)
A positive test result puts the air traffic controller’s job in jeopardy. What is the probability of a positive test result?
Find the probability an air traffic control truly used drugs, given that the test is positive.
Answer:
The responsess to the given question can be defined as follows:
Step-by-step explanation:
[tex]P(medication\ used) = 0.007 \\\\P( drug \not\ used ) = 1 - 0.007 = 0.993\\\\P(test\ positive | medication \ used) = 0.96 \\\\ P(test \ negative | medication \ used) = 1 - 0.96 = 0.04\\\\[/tex]
[tex]P(Point | Non-used\ medication )=0.93\\\\ P(Point |No\ medication ) = 1 - 0.93 = 0.07[/tex]
As per the given info we draw the tree diagram which is defined in the attachment file.
[tex]P ( test \ is\ positive ) = P( medication \ used ) \times P( Test \ positive | medication \ used ) + P( medication not \ used ) \times P( Test\ positive | medication \ not \ used )[/tex]
[tex]= ( 0.007 \times 0.96 ) + ( 0.993\times 0.07 )\\\\= 0.0762[/tex]
[tex]P( medication \ used | test\ positive )= \frac{\textup{P( medication used ) *P( Test positive given medication used )}}{\textup{P( medication used )}}[/tex]
[tex]= \frac{( 0.007\times 0.96 )}{0.0762}\\\\= 0.0882[/tex]
please help me answer the question.ghvjhbikb
Answer:
240units^2
Step-by-step explanation:
The formula for area on a triangle is 1/2 x b x h, so you do 4 x 10 x 1/2, giving you 20, there are two of these triangles so you double it to 40.
Then for the rectangle below you do l x w, or 10 x 20 giving 200.
You then add it all together, 200+20+20=240 units squared.
Hope this helps!
Find the volume of the right cylinder in terms of pie.
[tex] \Large{\boxed{\sf V = 192\pi \: m^3}} [/tex]
[tex] \\ [/tex]
Explanation:The volume of a right cylinder can be calculated using the following formula:
[tex] \Large{\sf V = \pi \times r^2 \times h }[/tex]
Where:
V is the volume of the cylinder.r is the radius of the cylinder.h is its height.[tex] \\ [/tex]
[tex] \Large{\boxed{\sf Given \text{:} } \begin{cases} \sf r &=\sf 4 \: m \\ \sf h &=\sf 12 \: m \\ \end{cases} } [/tex]
[tex] \\ [/tex]
Substitute these values into our formula:
[tex] \sf V = \pi \times (4m)^2 \times 12m = \pi \times 16m^2 \times 12m \\ \\ \\ \implies \boxed{\boxed{\sf V = 192\pi \: m^3 }} [/tex]
[tex] \\ \\ [/tex]
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Which is the graph of f(x) =
does anyone know this
Answer:
YASSSSSSSS its c hope this helps
- Isabella<3
Step-by-step explanation:
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
Which of the following is a quantity that could be represented by the number 2 x 10-3?
Answer:
90
Step-by-step explanation:
Solve the equation
6.2=2.2+x
X=
The two lines below are parallel. If the slope of the red line is 3, what is the slope of the green line?
I need help with aleks
Answer:
All angles are equal because all sided are equal so the 1st 1 is 60 .
the 2nd is 80
Work out the perimeter of this shape. Please help!
Answer: 138
Step-by-step explanation:
(65*2)=130
(4*2)=8
130+8=138
Answer:
2 (l+b )=2 (65+4)=2×69=128
Determine if the following probability is experimental or theoretical.
Abbey threw 10 foul shots and made 6 of them. What is the probability Abbey will make her next shot?
A)Experimental
B)Theoretical
I the radius of a circle is x cm ,what is the length of circufernece?
Answer:
44x/7
Step-by-step explanation:
Radius=r=xcm
Circumference=2πr
➜2πx
➜2×22/7×x
➜44/7×x
➜44x/7
What is 7,300,000 written in scientific notation?
Answer:
7300000 in scientific notation can be written as 7.3 x 10^6
In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1
In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?
Options :
Which conclusion is most appropriate in the context of this situation?
The data do not support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
The data support the claim that the proportion of conservatives who smoke cannabis is no different that the proportion for liberals.
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Answer:
The data support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
Step-by-step explanation:
Given the hypothesis :
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0
The test statistic = - 4.27
Pvalue = 0.00001
For making statistical decisions ;
Pvalue and α are very useful,
Decison boundary :
When Pvalue ≤ α ; We reject the Null (H0) otherwise, we fail to reject the Null.
However, based on the outcome of the statistical analysis,
The Pvalue < α ; Hence, we reject the Null and conclude that there is significant evidence support the claim that a lower proportion of conservatives smoke cannabis when compared to liberals.
How to find volume of cone?
Answer:
1/3[tex]\pi r[/tex]²[tex]h[/tex]
Step-by-step explanation:
Two of the statements are true; one is a lie.
Select the one that is a lie.
Then explain your reasoning.
Use the sketching tool to help explain if you'd like.
The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.
Answer:
Step-by-step explanation:
The last statement is false.
∠BAF and ∠EAB are supplementary angles.