The current in a simple electrical circuit is inversely proportional to the resistance if the current is 40 amperes when the resistance is 6 ohms find the current when the resistance is 7.8 ohms

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

500 represents the initial amount of medication, since when t=0, a=500.

Answer:

1.2

Step-by-step explanation:

We need unit price per mile

Spare way

But we can solve it through ratios if time is same

Answer:

$44.10

Step-by-step explanation:

Given:

To find the cost per mile, divide the total given cost by the given number of miles:

⇒ Cost per mile = $57.60 ÷ 64 = $0.90

To find the cost of a 49 mile tax ride, multiply the cost per mile by 49:

⇒ Cost of 49 mile tax ride = $0.90 × 49 = $44.10

We can use ratios of cost to miles to find the solution.

Let x = cost of a 49 mile taxi ride

\(\begin{aligned}\sf \$57.60:64 & = \sf x:49\\\sf \dfrac{57.6}{64} & =\sf \dfrac{x}{49}\\\sf 57.6(49) & = \sf 64x\\\sf 2822.4 & = \sf 64x\\ \sf x&= \sf \dfrac{2822.4}{64}\\ \sf x & = \sf \$44.10\end{aligned}\)

Answer:

Step-by-step explanation:

1.=71

2.=25

3.=28

4.=15   (is the sybmbol at the end is division it is 8)

5.=68/17

6.=48/9

7.=96 (if the symbol at the end is division it is 106)

8.=30

Answer:

yep. he was a great rapper; one of my favorites. it's been almost 3 years now. may he rest in peace.

Step-by-step explanation:

❤️✨

Answer:

79.8

Step-by-step explanation:

math

Answer:

Step-by-step explanation:

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

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What is the question?

Step-by-step explanation:

Answer:

so you need to find the cost of one pen, which ever is cheaper pick that one

Answer:

\( \sf{50}\)%\( \sf{----------------------------------------------------------------------------------}\)

Step-by-step explanation:

According to the diagram, half of the individuals chosed chocolate so half of 100% is 50%

Answer:

74

Step-by-step explanation:

13x5+9=74

Answer:

9 × 2^(13)

Step-by-step explanation:

hello :

the nth term is :  An =A1 × r^(n-1)

a common ratio is : r  and  A1 the first term

in this exercice :   r= -3-(-7)36/18 = 18/9 =2         A1 = 9

when : n =14 you have the  14rd term  A14

A14 = 9 × 2^(14-1)  = 9 × 2^(13)

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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a) In April, the number of students who had not passed their driving test decreased by 5%.

b) The equation is 1.2x + 0.95(1000 - x) = 1000.

c) 200 students passed their driving test in January.

a) At the beginning, of January, x students had passed their driving test, then the remaining number of students who had not passed their driving test was (1000 - x).

In April, the number of students who had not passed their driving test decreased by 5%, which means the remaining number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

b)

The number of students who had passed their driving test increased by 20%, which means the new number of students who passed their driving test is 1.2 times the original number (x).

The number of students who had not passed their driving test decreased by 5%, which means the new number of students who had not passed their driving test is 0.95 times the original number (1000 - x).

Therefore, we can write the equation 1.2x + 0.95(1000 - x) = 1000.

c) We can solve for x in the equation 1.2x + 0.95(1000 - x) = 1000.

Expanding the equation, we get:

1.2x + 950 - 0.95x = 1000

0.25x = 50

x = 200

Therefore, 200 students passed their driving test in January.

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Answer:

f(5) = 16.5

Step-by-step explanation:

Substitute x = 2.5 into f(x) , that is

f(2.5) = 6(2.5) + 1.5 = 15 + 1.5 = 16.5

Answer:

16.5

Step-by-step explanation:

In response to the aforementioned query, we may say that Point M's slope coordinates are therefore (39/25, 69/25).

A line's slope determines how steep it is. The gradient is mathematically expressed as gradient overflow. By dividing the vertical change (run) between two spots by the height change (rise) between the same two locations, the slope is determined. The equation for a straight line, y = mx + b, is written as a curve form of an expression. When the slope is m, b is b, and the line's y-intercept is located (0, b). For instance, the y-intercept and slope of the equation y = 3x - 7 (0, 7). The location of the y-intercept is where the slope of the path is m, b is b, and (0, b).

A and B's respective y-coordinates are at the midpoint of the triangle AB.

\(((x A + x B)/2, (y A + y B)/2)\)is the midpoint.

\(((-4 + 2)/2, (2 + 10)/2)\) is the midpoint.

Midway = \(( -1, 6 )\\\)

Slope of AB: The slope of AB is equal to the product of the y-value and the x-value, or:

slope is equal to \((y B-y A) / (x B-x A).\\\)

slope = \((10 - 2) / (2 - (-4))\\\)

slope = 8/6 = 4/3

\(y - y 1 = m * (x - x 1)\\y - 6 = (-3/4) * (x + 1)\\y - 6 = (-3/4)\\x - (3/4)\sy = (-3/4)x + (21/4)\)

Point M's coordinates are:

\(y = (-3/4)x + (21/4)\\4x/3 + 2 = (-3/4)x + (21/4)\\16x + 24 = -9x + 63\s25x = 39\ = 39/25\\y = (-3/4)(39/25) + (21/4) = 69/25\\\)

Point M's coordinates are therefore (39/25, 69/25).

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Answer:

81/10 or 10

Step-by-step explanation:

81:18 - 8 = 81/10 simplified

sorry if am wrong i tried :L

The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,

Company A: y = 30x + 13

Company B: y = 28x + 15

The amount for x = 4 is given as,

Company A: y = 30 (4) + 13 = $133

Company B: y = 28 (4) + 15 = $127

The amount for x = 4 is given as,

Company A: y = 30 (7) + 13 = $223

Company B: y = 28 (7) + 15 = $211

Then the amount of money saved is given as,

⇒ $233 - $211

⇒ $22

The amount of money saved to clean 7 mattresses is $22.

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The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.

The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.

The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.

On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.

By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.

Therefore, the correct answer is:

H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.

Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.

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The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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The length of the apothem of the regular pentagon shown is 5.2 meters

Represent the central angle of the regular pentagon using x

The value of the central angle of the regular pentagon is then calculated as:

x = 360/n

Where n represents the number of sides

i.e n = 5

So, we have:

x = 360/5

Evaluate the quotient

x = 72

Represents the apothem with y.

The apothem is then calculated as:

tan(x/2) = (Side length/2)/Apothem

This gives

tan(72/2) = (7.6/2)/y

Evaluate the quotient

tan(36) =3.8/y

Multiply both sides by y

y tan(36) = 3.8

Divide both sides by tan(36)

y = 3.8/tan(36)

Evaluate the quotient

y = 5.2

Hence, the length of the apothem of the regular pentagon shown is 5.2 meters

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The present value of the loan will be = R36,250

The principal capital (P) = R25 000

Interest rate for the payment (R)= 7.5%

Time for the payment (T)= 6 years

Therefore simple interest = P×T×R/100

= 25,000×6×7.5/100

= 250×6×7.5

= R11,250

The present value of the loan will be;

= 25,000 + 11,250

= R36,250

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The true statement is 'Every irrational number can be represented with the help of decimals.'

The correct answer is an option (B)

We know that the rational numbers are of the form p/q (i.e., simple fraction) where p, q are integers with q ≠ 0

And an irrational numbers are real numbers that cannot be represented as simple fractions.

An irrational numbers can be written in decimals.

√3 = 1.7321

We know that every terminating decimal is a rational number (for example, 2.5 = 5/2) but every rational number may not be a terminating decimal (for example, 2/3 = 0.666...)

So, a statement 'Every irrational number can be represented as a fraction.' is false.

A statement 'Every irrational number can be represented with the help of decimals.' is True

A statement 'Every rational number can be represented as a terminating decimal.' is False.

and a statement 'Every rational number can be represented as an integer.' is False.

Therefore, the true statement is 'Every irrational number can be represented with the help of decimals.'

The correct answer is an option (B)

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Answer:

21670

Step-by-step explanation:

3 which is after 7 on the ten column is not up to or more than 5

Answer:

20 games

Step-by-step explanation:

(12/x)=(60/100)

12*100=1200

60x=1200

x=20

20    

Step-by-step explanation:

Answer:

um what are the 4 sizes

Step-by-step explanation:

Answer:

  (c)  y = 3^x

Step-by-step explanation:

A function is described as exponential if the independent variable is found in the exponent.

  y = x^(1/2) . . . a square root function, not exponential

  y = 2x^3 . . . . a cubic (polynomial) function, not exponential

  y = 3^x . . . . . an exponential function

Answer:

original price is 48 dollars which is 100% cost. we know that 12 is 1/4 of 48 so 1/4 of 100% gives 25%.

Step-by-step explanation: