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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Elise randomly surveyed students at her school to find out their favorite music. the table shows the results if Elise’s survey. if there are 400 students at Elise’s school, how many can she predict will like pop the best?
Answer:
125 students
Step-by-step explanation:
according to this survey, she surveyed 80 people, and of the 80 people she surveyed, 25 of them said they like pop best
set up a proportion to find how many students will like pop if there are 400 students at her school:
25/80=x/400
80x=10000
x=125
125 students
Find each angle measure to the nearest degree
1) Find m.
5
S
R
5.7
T
please help, show work if possible :)
Answer:
RS=26.49 m;
ST =14.08 m;
m<R =28°
Step-by-step explanation:
If k × k × k = 1; then k =
Answer: k^3=1
Step-by-step explanation:
Answer:k^3=1
Step-by-step explanation:
Express the following measure in radians.
675°
Answer:
[tex]\frac{15\pi }{4}[/tex]
Step-by-step explanation:
Degrees to radians, multiply by pi/180
675pi/180
use a calculator to simplify
You get 15pi/4
The value of 675 degree is equivalent to [tex]\frac{15pi}{4}[/tex].
What is the formula to convert degree to radian?
The relation between radian and degree is given by Angle in radian=angle in degree*[tex]\frac{pi}{180}[/tex].
What is the conversion of 675degree?We will substitute 675 for angle in degree into the formula to get the value in radian.
[tex]\frac{675*pi}{180}[/tex]
This will be [tex]\frac{15pi}{4}[/tex].
Therefore, the correct answer is [tex]\frac{15pi}{4}[/tex].
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use demoivre's theorem to evaluate the expression (3(cos cos(5pie/6)+isin(5pie/y))))^4 write the answer in rectangular form.
By DeMoivre's theorem,
(3 (cos(5π/6) + i sin(5π/6)))⁴ = 3⁴ (cos(4×5π/6) + i sin(4×5π/6))
… = 81 (cos(20π/6) + i sin(20π/6))
… = 81 (cos(10π/3) + i sin(10π/3))
… = 81 (cos(-2π/3) + i sin(-2π/3))
… = 81 (cos(2π/3) - i sin(2π/3))
… = 81 (-1/2 + √3/2 i )
… = -81/2 + 81√3/2 i
A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above
9514 1404 393
Answer:
y = -3x
Step-by-step explanation:
The slope formula gives the slope of the segment between the given points.
m = (y2 -y1)/(x2 -x1)
m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3
The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m' = -1/(1/3) = -3
A perpendicular line is ...
y = -3x
Alan has 11 nickels and
dimes in his pocket. When
he counted his change he
found he had $0.95. How
many dimes does Alan
have?
Answer:
4
Step-by-step explanation:
Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.
11 × 5 = 55
95 - 54 = 40
Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.
40/10=4
Which pair represents opposite numbers?
Answer:
Choice B 2 and -2
Step-by-step explanation:
2 would be opposite of -2
Mark brainliest
A sequence is shown below
6, 8, 10, 12, 14
Which function represents this sequence?
A. f(n) = 4 + 2(n - 1)
B. f(n) = 4 + 2(n + 1)
C. f(n) = 6 + 2(n - 1)
D. f(n) = 6 + 2(n + 1)
Answer:
[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]
A right triangle has coordinates ( − 3 , 4 ) , ( 3 , 6 ) , and ( − 1 , − 2 ) . What is the area of the right triangle?
Answer: 20 sq units
Step-by-step explanation:
A quick sketch graph will show the right angle is at (-3 ,4)
The lengths of the shorter sides are both sqrt(2^2 + 6^2) = sqrt(40)
Area = 1/2 x (sqrt(40))^2 = 20
If you didn’t have a right angle you could find the lengths of all sides a, b and c
Calculate the semi perimeter s = (a+b+c) / 2
And the area = sqrt(s(s-a)(s-b)(s-c))
Try and use this method to check the first one!
A triangular prism has a height of 9 meters and a triangular base with the following dimensions. What is the surface area of the prism? 420 m 2 324 m 2 504 m 2 372 m 2
Answer:
420 m2
Step-by-step explanation:
Hope this helps
The surface area of the prism will be equal to 366 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.
Given that:-
A triangular prism has a height of 9 meters and a triangular base with the following dimensionsThe surface area of the prism will be calculated as:-
Surface area = Sum of the area of all sides
There are three rectangle faces and two triangular faces in the triangular prism.
Surface area = 3 ( area of rectangle) + 2 (area of triangle)
Suraface area= 3 ( 10 x 9 ) + 2 [( 1/2)(16 x 6)]
Surface area = 270 + 96 = 366 square meter.
Therefore the surface area of the prism will be equal to 366 square meters.
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a skier travels 4 seconds and cover 72 meters. how long will it take the skier to travel 360 meters?
Solve the equation.
3(x−9)=30
Answer:
19
Step-by-step explanation:
3(x-9)= 3x-27
3x-27=30
3x=57
x=19
The value of
Arc sin(1/2) + Arc tan(1) is
Answer:
75°Step-by-step explanation:
We know that:
sin 30° = 1/2, therefore arcsin (1/2) = 30°tan 45° = 1, therefore arctan (1) = 45°So the value of the expression is:
arcsin (1/2) + arctan (1) = 30° + 45° = 75°Answer:
75°
Step-by-step explanation:
Recall the common trigonometric angles:
[tex]\sin 30^{\circ}=\dfrac{1}{2}[/tex]
[tex]\tan 45^{\circ}=1[/tex]
Arcsin is the inverse of sin.
Arctan is the inverse of tan.
[tex]\implies \arcsin \left(\dfrac{1}{2}\right)=30^{\circ}[/tex]
[tex]\implies \arctan (1) = 45^{\circ}[/tex]
Therefore:
[tex]\implies \arcsin \left(\dfrac{1}{2}\right)+\arctan (1) = 30^{\circ}+ 45^{\circ}=75^{\circ}[/tex]
P
Jimmy tried to solve the system of equations below, but he made an error
S 2.0
y=18
y= 40 +2
His work is shown. Find the error he made. Explain the error and show how to solve the sysm correctly.
1. 2.0 - 4.3 + 2 = 18
2.-2x = 16
3. = -8
4. y=4(-8) + 2
5. Y = -32 +2
6. y=-30
7. Check: 2 (-8) - (-30) = 18
8.
- 16 + 30 = 18
9 14 + 18
His mistake was on Line
because he should have
The correct solution is
Answer:
"His mistake was on line 1. He didn't distribute the negative sign (indicating a -1) to everything in the equation for y."
The correct solution is: x = -10, y = -38
Step-by-step explanation:
2x - y = 18
y = 4x + 2
Substitute the given value for y into the first equation:
2x - (4x + 2) = 18
2x - 4x - 2 = 18 ** here, he didn't distribute the (-) to everything in the parentheses that represents y
-2x -2 = 18
add 2 to both sides
-2x = 20
divide by -2
x = -10
-------------------
solve for y
y = 4x + 2
y = 4(-10) + 2
y = -40 + 2
y = -38
------------------
Check the math:
2x - y = 18
2(-10) - (-38) = - 20 + 38 = 18
factorise y^6 - 64 as possible
Answer:
Step-by-step explanation:
Observe that [tex]y^6-64=y^6-2^6.[/tex]
And you factor out using this expression:
[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]
Take a=y and b=2.
Answer:
(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Step-by-step explanation:
[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
[tex]y^{6}[/tex] - 64
= (y² )³ - 4³
= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares
= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Kaylah's cell phone has a mass of 58,000 centigrams What is the mass of her phone in grams? The mass of Kaylah's cell phone is ? grams.
The answer is 580 grams.
Find the area. The figure is not to scale
Answer:
5.4 cm^2
Step-by-step explanation:
Given,
Height ( h ) = 2 cm
Base ( b ) = 5.4 cm
To find : Area ( triangle ) = ?
Formula : -
Area ( triangle ) = bh / 2
Area ( triangle )
= 5.4 x 2 / 2
= 5.4 cm^2
What is the period of the function F(x) = -4sec (1/2 x)
A. 4 pi
B. pi
C. pi/2
D. 2 pi
Answer:
A) 4π
Step-by-step explanation:
The period of a secant function, f(x)=a*sec(bx+c)+d, is defined as 2π/|b| where b is the distance of the period. Since we know b=1/2 given by the function, then the period is 2π/|1/2|=2π/(1/2)=2π(2/1)=4π.
he heights of young women aged 20 to 29 follow approximately the N(64, 2.7) distribution. Young men the same age have heights distributed as N(69.3, 2.8).Height is measured in inches.A young woman in that age group is randomly selected; independently, a young man in that age group is randomly selected. What is the probability that the young man is taller than the young woman by more than 5 inches
Answer:
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Distribution of the difference in height between men and woman:
Applying the concept above:
[tex]\mu = 69.3 - 64 = 5.3[/tex]
[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]
What is the probability that the young man is taller than the young woman by more than 5 inches?
Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 5.3}{3.89}[/tex]
[tex]Z = -0.08[/tex]
[tex]Z = -0.08[/tex] has a pvalue of 0.4681
1 - 0.4681 = 0.5319
0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches
Popcorn at the Movies - Exit Slip
You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.
-4/3 x + (-1) =y what is the slope of this line?
Answer: y= -4 divided by 3 • x (-1)
Step-by-step explanation:
✨photo math✨
PLEASE HELP 30 POINTS
The answer is No!! I hope this helps, have a wonderful day!
Answer:
A) yes, both functions are inverses of each other.
[tex]---------[/tex]
[tex]hope ~ it ~ helps\\\\have ~ a ~ great ~day!![/tex]
In a storeroom,there are 30 blue balls,48 green balls,some red balls and some white balls. there are 3 times as many green balls as red balls and 5 times as many blue balls as white balls.
(a) How many balls are there altogether?
(b) How many balls are left in the room if 7/10 (fraction) of the balls are taken away?
pls help me answer both
Answer:
7/30
Step-by-step explanation:
We first have 7 blue and 3 red out of 10, so P(1st ball is red) = 3/10
Now, we have pulled a red ball out of the bag, leaving us with 7 blue and 2 red out of 9 total balls.Then P(2nd ball is blue) = 7/9. Put this together, P(1st red AND 2nd blue) = 3/10⋅7/9 =7/30
WHAT IS THE ANGLE MEASUREMENTS?? AND TELL ME HOW YOU GOT IT.
PLEASE ANSWER !! ILL GIVE BRAINLIEST !!
50 POINTS !!
FAKE ANSWERS WILL GET REPORTED .
Simplify the expression. 7x + 6 + 3x -2 -5x
Answer:
5x+4
Step-by-step explanation:
5x + 6 - 2
5x + 4
16 In a flower fertilisation experiment, the
number of pink flowers grown is twice that
of red flowers. The number of white flowers
grown is 3 more than that of red flowers.
The number of white flowers grown is
37 fewer than that of pink flowers. Find the
total number of flowers grown.
Answer:
The total number of flowers grown is 163.
Step-by-step explanation:
Since in a flower fertilization experiment, the number of pink flowers grown is twice that of red flowers, and the number of white flowers grown is 3 more than that of red flowers, the number of white flowers grown is 37 fewer than that of pink flowers, to find the total number of flowers grown the following calculation must be performed:
P = 2R
W = R + 3
W = P - 37
W = W
R + 3 = 2R - 37
R + 3 + 37 = 2R
40 = 2R - R
40 = R
P = 2 x 40 = 80
R = 40
W = 40 + 3 = 43
80 + 40 + 43 = X
163 = X
Therefore, the total number of flowers grown is 163.
Find the value of x
Answer:
x = 30
Step-by-step explanation:
24(24 + x) = 36² => tangent-secant theorem
Open the bracket
24*24 + 24*x = 36²
576 + 24x = 1,296
24x = 1,296 - 576
24x = 720
Divide both sides by 24
24x/24 = 720/24
x = 30
the price of a sandwich decreases from $8 to $6 what is the percentage decrease in the price of the sandwich
Answer:
The percentage decrease is 25%.
Step-by-step explanation:
The difference in price is $2:
$8 - $6 = $2
Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:
2/8 * 100.
This equals 200/800 which is 25%.
3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 square meters C. 360 square meters d. 102 square meters
C. 360 Square meters
........
The total area is 360 square meter.
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.
Given:
We get Three Rectangle
First Rectangle:
length = 12 m
width = 16 m
So, Area = 12 x 16 = 192 square meter.
Second Rectangle:
length = 8 m
width = 12 m
So, Area = 8 x 12 = 96 square meter.
Third Rectangle:
length = 12 m
width = 6 m
So, Area = 12 x 6 = 72 square meter.
Thus, the total area = 192 + 96+ 72 = 360 square meter.
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