Hence, the correct answer is:
Option : a
a. 5.6 amps
Step-by-step explanation:It is given that:
The current (I) in an electrical conductor varies inversely as the resistance (R) of the conductor.
This means that:
[tex]I\propto \dfrac{1}{R}[/tex]
Hence, we get the relation as:
[tex]\dfrac{I_1}{I_2}=\dfrac{R_2}{R_1}[/tex]
where [tex]R_1[/tex] is the resistance corresponding to the current [tex]I_1[/tex]
and [tex]R_2[/tex] is the resistance corresponding to the current [tex]I_2[/tex]
We have:
[tex]I_1=6\ ,\ R_1=722\ ,\ R_2=768[/tex]
Hence, we get:
[tex]\dfrac{6}{I_2}=\dfrac{768}{722}\\\\\\i.e.\\\\\\I_2=\dfrac{722\times 6}{768}\\\\\\I_2=5.6406\ amperes[/tex]
Hence, the answer is:
Option : a
Geometry question :) could use some help
Answer:
statement A
Step-by-step explanation:
If the ratio
[tex]\frac{QT}{TR}[/tex] = [tex]\frac{QU}{US}[/tex]
then TU is parallel to RS
[tex]\frac{QT}{TR}[/tex] = [tex]\frac{32}{36}[/tex] = [tex]\frac{8}{9}[/tex]
[tex]\frac{QU}{US }[/tex] = [tex]\frac{40}{45}[/tex] = [tex]\frac{8}{9}[/tex]
Since the ratios are equal then line segment TU is parallel to line segment RS
Choose the coordinate pairs that are NOT shown on the graph.
(3, 2)
(−6, 3)
(1, −1)
(−6, −4)
(4, −2)
Answer:
(3, 2)
(−6, −4)
Step-by-step explanation:
An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t) = 144 – 16t2. How many seconds will it take the object to reach the ground? second(s)
Answer:
t = 3 seconds
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
[tex]h (t) = 144 - 16t ^ 2[/tex]
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
[tex]0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3[/tex]
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
Answer:
t=3 seconds
Step-by-step explanation:
We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.
The equation is:
Where t is the time in seconds and h is the height in feet.
To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.
So:
We take the positive solution.
Therefore the object takes 3 seconds to reach the ground
Read more on Brainly.com - https://brainly.com/question/12606814#readmore
Which of the following is a polynomial function in standard form with zeros at -8,-1 and 3? Help needed!!! 10 points!!! Math 3
ANSWER
[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]
EXPLANATION
The polynomial function has zeros at:
-8,-1 and 3
This means the polynomial can be factored as:
[tex]f(x) = (x + 8)(x + 1)(x - 3)[/tex]
We expand the last two factors:
[tex]f(x) = (x + 8)( {x}^{2} - 2x - 3)[/tex]
We expand further to get:
[tex]f(x) = {x}^{3} - 2 {x}^{2} - 3x + 8 {x}^{2} - 16x - 24[/tex]
[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]
The polynomial in descending powers of x is said to be in standard form.
A car travels 35 miles on each gallon of gas. How far will it travel on 6 gallons?
Answer:
210 miles
Step-by-step explanation:
35 x 6
The stem and leaf plot shown matches which set of data?
Stem and Leaf Plot Advantages. The stem and leaf plot essentially provides the same information as a histogram, with the following added benefits: The plot can be constructed quickly using pencil and paper. The values of each individual data point can be recovered from the plot.
Help pls and thank you!!!
Answer:
16
Step-by-step explanation:
The perimeter = sum of the three sides.
1/2 + 1/2 = 1
4 + 5 + 6 + 1 = 16
Ellie wants to buy a computer for $900. She can save $75 a month in a savings account and earn $2 for every $100 saved and buy the computer when she has enough money. Or, she can pay back $75 a month on a bank loan for $900 and pay interest of $7 for every 100 borrowed. How much will she pay for the computer for each of the two choices?
Answer:
For savings: 924$ paid. For loan: 963$ paid
Please help me I need your help please I need your need your help please help me I need your help badly plz help me I need your help I’m on begging you
____________________________________________________
Answer:
Your answer would be D). Since -2 is to the left of 1, -2 < 1.
____________________________________________________
Step-by-step explanation:
The reason why this would be the correct answer is because it numerically makes sense, and the statement said in the answer choice is correct on the number line.
The numbers that are on the left side of the number line, the negatives, are a lower value than the numbers on the right. To sum it up, the numbers that are more to the left are less value than the ones more to the right.
In the answer choice D, it says, "Since -2 is to the left of 1, -2 < 1."
This is correct because -2 is less than 1, so when you use the the less than sign, it makes sense since -2 is less than 1. To sum it uyp, 1 is greater than -2.
D should be your FINAL answer.
____________________________________________________
Why the other answer choices are incorrect:
The reason why answer choice "A" is incorrect because:
-2 is actually not greater than -1. Remember, The numbers that are more to the right are greater than the numbers on the left. -2 is to the left of -1, which means that -1 would be greater than -2. This statement would be incorrect. This is the reason why this answer choice would be wrong.
The reason why answer choice "B" is incorrect because:
-1 is not equal to 1. -1 is more to the left than 1, and since the negative sign is there, they wouldn't be the same. Even though they have the same number, they don't have the same value. If the equation said 1 =1, it would be true, but that's not the case in this answer choice, which would make it incorrect. This is the reason why this answer choice would be wrong.
The reason why answer choice "C" is incorrect because:
-2 is not greater than 1/3. -2 is negative, while 1/3 is positive, therefore making the 1/3 greater than -2. In the answer choice, it's saying that -2 is greater than positive 1/3, which is incorrect. This is the reason why this answer choice would be wrong.
____________________________________________________
Answer:
D
Step-by-step explanation:
The counting numbers, together with 0, are called the _____ numbers.
natural numbers. they are also called counting numbers. hope this helps :)
The answer is Whole.
Find the missing value so that the two points have a slope of -2 (1,y)and (6,-5)
Final answer:
To find the missing value so that the two given points have a slope of -2, substitute the values into the slope formula and solve for y. The missing value is y = 5.
Explanation:
To find the missing value for the given points (1, y) and (6, -5) so that the two points have a slope of -2, we can use the formula for finding the slope between two points:
Slope = (y₂ - y₁) / (x₂ - x₁)
Substituting the given values into the formula, we have:
(-5 - y) / (6 - 1) = -2
Simplifying this equation:
-5 - y = -2(6 - 1)
-5 - y = -2(5)
-5 - y = -10
Solving for y:
y = -5 + 10
y = 5
Therefore, the missing value 'y' is 5.
I NEED HELP ASAP!! create a line plot to display the data
the table shows the lengths of the different leaves In centimeters
To create a line plot hover over each number on the number line then click and drag up to the plot the data
7.5 xxx. 8.0 xxx 8.5 xxx 9.0 xxxxx 9.5 xxxx
Find x I need help don’t really understand it
you would use sine
sine = opposite side / hypotenuse
and solve for opposite side (x)
so sine of 70*14= which is about 13.146
Check the picture below.
make sure your calculator is in Degree mode.
HELP ME PLSSSSSS OMG!!!!!!!!
Answer:
B
Step-by-step explanation:
The graph has a negative slope of 3, so him earning $3 wouldn't make sense, nor would him earning or spending $0.30
There were two containers of oil. There was twice as much oil in the second container as in the first one. After using 13 liters of oil from the first container and 7 liters from the second one, the second container still had 3 times more oil than the first one. How many liters of oil in total were in both containers originally?
PleASE HELP
Answer:
There are 96 liters of oil in both containers originally
Step-by-step explanation:
* Lets change the story problem to mathematics equation
- Let the first container had A liters of oil and the second container
had B liters of oil
- The quantity of oil B in the second container is twice the quantity
of oil in A in the first container
∴ B = 2A ⇒ (1)
- After using 13 liters from the quantity of oil A in the first container,
the container had (A - 13) liters
- After using 7 liters from the quantity of oil B in the second container,
the container had (B - 7) liters
- After that the quantity of oil in the second container is 3 times
more oil than the first one
∴ B - 7 = 3(A - 13) ⇒ simplify
∴ B - 7 = 3A - 39 ⇒ add 7 and subtract 3A from both sides
∴ B - 3A = -39 + 7
∴ B - 3A = -32 ⇒ (2)
- Substitute the value of B from (1) into (2)
∴ 2A - 3A = -32
∴ -A = -32 ⇒ × -1
∴ A = 32 liters
- Find the value of B by substitute value of A in (1)
∴ B = 2(32) = 64 liters
- Now find the total liters of oil in both containers
∴ A + B = 32 + 64 = 96 liters
* There are 96 liters of oil in both containers originally
This week jake is scheduled to work 11 hours as a cashier and 17 hours as a grocery stocker. What will be the total amount he earns from the two jobs if he works all the scheduled hours?
Answer:
$305
Step-by-step explanation:
Answer:
A/281.75
Step-by-step explanation:
1st step.
81.00/9=9
129/12=10.75
2nd step
9*11=99
10.75*17=182.75
3rd step
99+182.75=
281.75 or a
hope this helped!!!!
What is the value of n?
Answer:
C. 95°
Step-by-step explanation:
The up angle of the triangle is 180° - 121° = 59°
The right angle of the triangle is 180° - 144° = 36°
The left angle of the triangle is 180° - (59°+36°) = 180° - 95° = 85°
=> n° = 180° - 85° = 95°
Answer:
○ C. 95°
Step-by-step explanation:
Deduct each exterior angle from 180°, according to the Supplementary Angles Theorem, to get your interior angles:
-144° + 180° = 36°
-121 + 180° = 59°
You have two of the interior angles, so to find the final one, we do this:
-95° + 180° = 85°
You now have your third interior angle measure, and now, it is hooked up to the exterior angle, n°. This is where the Supplementary Angles Theorem comes in again:
-85° + 180° = 95°
So, the m∠n is 95°.
I am joyous to assist you anytime.
Which point is part of the solution of the inequality y<=|x+4|-3
The answer is: The point (0,0) is part of the solution.
Why?To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.
We are given the inequality:
[tex]y\leq |x+4|-3[/tex]
So, evaluating we have:
- First point (-2,1)
[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]
Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.
- Second point (1,3)
[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]
Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.
- Third point (-4,2)
[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]
Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.
- Fourth point (0,0)
[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]
Now, since 0 is less than 1, the point (0,0) is part of the solution.
Hence, we have that the point (0,0) is part of the solution.
Have a nice day!
what is the graph of the solution to the following compound inequality?
Answer:
C.Step-by-step explanation:
<, > - open circle
≤, ≥ - solid circle
<, ≤ - draw to the left
>, ≥ - draw to the right
[tex]3-x\geq2\qquad\text{subtract 3 from both sides}\\\\-x\geq-1\qquad\text{change the signs}\\\\\boxed{x\leq1}\\\\4x+2\geq10\qquad\text{subtract 2 from both sides}\\\\4x\geq8\qquad\text{divide both sides by 4}\\\\\boxed{x\geq2}[/tex]
Which conic section is represented by the polar equation r=3/(4+2sintheta)?
A. ellipse
B. hyperbola
C. parabola
D. circle
Answer:
The conic is an ellipse ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- The polar form equation of a conic with a focus at the origin, the
directrix is y = ± p where p is a positive real number, and the
eccentricity is a positive real number e is r = ep/(1 ± e sin Ф)
# If 0 ≤ e <1, then the conic is an ellipse
# If e = 1, then the conic is a parabola
# If e > 1, then the conic is an hyperbola
- Lets solve the problem
∵ The equation of the conic is r = 3/(4 + 2 sin Ф)
∵ The form of the equation is r = ep/(1 ± e sin Ф)
- We must divide up and down by 4 to make the 1st term of the
denominator equal 1
∴ r = (3/4)/(1 + (2/4) sin Ф)
∴ ep = 3/4
∴ e = 2/4
- Lets use the rules above to identify the type of the conic
∵ e = 2/4 = 1/2
∴ 0 ≤ e < 1
∴ The conic is an ellipse
Answer:
A C D are the answers
Step-by-step explanation:
Ellipse, r=1/1-cos theta, r=3/2-3cos theta
A coin is tossed at the same time a die is rolled. Are the
events independent or dependent? Why?
A. The events are dependent. There is no way the outcome
of the coin toss can affect the rolling of the die and vice
versa.
B. The events are dependent. The number rolled on the die
can be affected by what is flipped on the coin.
C. The events are independent. There is no way the
outcome of the coin toss can affect the rolling of the die and
vice versa,
D. The events are independent. The number rolled on the die
can be affected by what is flipped on the coin.
Answer:
c
Step-by-step explanation:
common sense
Find cos<FHE.
a.3/4
b.4/5
d. 4/3
Answer:
b.4/5
Step-by-step explanation:
step 1
In the right triangle FGH
Find HF
we know that
HG=GF ----> by triangle 45°-90°-45°
Applying the Pythagoras Theorem
[tex]HF^{2} =\sqrt{8}^{2} +\sqrt{8}^{2} \\ \\HF^{2} =16\\ \\HF=4\ units[/tex]
step 2
In the right triangle FEH
Find HE
Applying the Pythagoras Theorem
[tex]HE^{2} =4^{2} +3^{2} \\ \\HE^{2} =25\\ \\HE=5\ units[/tex]
step 3
Find the cos(∠FHE)
cos(∠FHE)=HF/HE
substitute the values
cos(∠FHE)=4/5
Salary, tips and interest earned are all included in ____.
Answer:
Gross annual income
Annual income i think lol
What is the recursive formula for this geometric sequence
6, -24, 96, -384,...
Answer:
see explanation
Step-by-step explanation:
The recursive formula allows us to calculate the next term in the sequence from the previous term.
The common ratio r = [tex]\frac{-24}{6}[/tex] = - 4
Thus multiplying any term by - 4 gives the next term, that is
[tex]a_{n+1}[/tex] = - 4 [tex]a_{n}[/tex] with a₁ = 6
A baker uses 4 cups of flour. She uses 1/4 cup to flour the counters and rest to make 8 identical muffins. How much flour is in each muffin? Answer must be in fractional form.
Answer:
15/32 cup
Step-by-step explanation:
Apparently, you're to assume that flour used on the countertop does not end up in the muffins. If that is the case, then the amount of flour in the 8 muffins is ...
4 cups - 1/4 cup = 3 3/4 cups
When that is divided evenly among 8 muffins, the amount in each is ...
(1/8)·(3 3/4 cups) = (1/8)·(15/4 cups) = 15/32 cup
Answer: 15/32
Step-by-step explanation: Because she uses 1/4 to flour the counter you need to subtract 1/4 from four which gives you 3 3/4. 3 3/4 divided by eight equals 15/32
what is the prime factorization of 25n^2
5??? Not 100% Sure If Im Correct.
The London theater offers child tickets at 10$each and adult tickets at 20$ each.Mrs burham buys 34 tickets at a total cost of 570 if C is the number of child tickets and A is the number of adult tickets write the system of equations which represents this situation
Answer:
A+C=34
10C+20A=570
What is next term in sequence 54,-18,6
Answer:
-2
Step-by-step explanation:
its a geometric sequence where every term is being divided by -3
Answer:
-2
Step-by-step explanation:
This is a geometric sequence. We need to find the common ratio
Take the second term and divide by the first
-18/54 = -1/3
Take the third term and divide by the second
-18/6 = -1/3
The common ratio is -1/3
The next term is the third term times the common ratio
6 * -1/3 = -2
The fourth term is -2
The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?
Answer:
Step-by-step explanation:
let: x , x+1 , x+2 ,x+3 , x+4 ....( 5 consecutive integers is 110)
x+x+1 +x+2 +x+3+x+4=110
5x +10 = 110
5x =100
x=100/5
x=20
the fourth number in this sequenceis : x+3 so : 23
10 points someone help me please!?
Answer:
[tex]\large\boxed{b=\sqrt{95}}[/tex]
Step-by-step explanation:
Use the Pyhagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
We have
[tex]leg=b,\ leg=7,\ hypotenuse=12[/tex]
Substitute:
[tex]b^2+7^2=12^2[/tex]
[tex]b^2+49=144[/tex] subtract 49 from both sides
[tex]b^2=95\to b=\sqrt{95}[/tex]