In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 10 A (amperes), the resistance is 13 ohms. What is the resistance when the current is 26 A?

The width of the river to the nearest foot will be 45 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Paula remains on a waterway and sights the contrary bank at a point of the wretchedness of 7 degrees.

If Paula is 5.5 feet tall.

Let 'w' be the width of the river. Then the width of the river will be given as,

tan 7° = 5.5 / w

0.12278 = 5.5 / w

w = 44.79

w ≈ 45 feet

The width of the river to the nearest foot will be 45 feet.

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The interest eared from the given amount, rate of interest and time period is $426.883.

Given that, amount = $700, rate of interest = 4% and time period = 2 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest is [tex]Amount=Principal(1+\frac{r}{100})^{nt}[/tex]

Let the money deposited be x.

So, [tex]700=x(1+\frac{4}{100} )^{2\times12}[/tex]

⇒ [tex]700=x(1+0.04)^{24}[/tex]

⇒ [tex]700=x(1.04)^{24}[/tex]

⇒ 700 = 2.563x

⇒ x=700/2.563

⇒ x=$273.117

So, interest = 700-273.117

= $426.883

Therefore, the interest eared from the given amount, rate of interest and time period is $426.883.

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solution

3x+18/18

ans4

The  mean height of the low tides is 1.21 ft

The heights of the low tides for four days are -0.22 ft, 2.64 ft, -0.22 ft, and 2.64 ft

The mean of a sample is given by the formula =

summation of all observation / number of observation

mean = (x₁ + x₂ + x₃ + x₄)/ 4

mean = -0.22 + 2.64 - 0.22 + 2.64 / 4

mean = 4.48 / 4 = 1.21

Therefore, the  mean height of the low tides is 1.21 ft

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Quadratic equation that passes through the points (-4,2) and (1,2) and a form a graph of horizontal line y =2.

Graph is attached.

As given in the question,

Quadratic equation passes through the points (-4,2) and (1,2)

(x₁, y₁) =(-4,2)

(x₂ ,y₂) = (1,2)

(y-y₁)/ (x-x₁) = (y₂ -y₁)/(x₂ -x₁)

⇒(y-2)/(x +4) =(2-2)/)1+4)

⇒ (y-2)/(x+4) =0

⇒y -2 =0

⇒y =2

Quadratic equation formed from the given points (-4,2) and (1,2) is y =2.

which represents the horizontal line and does not have any vertex.

Graph of the quadratic equation y =2 is attached.

Therefore, quadratic equation that passes through the points (-4,2) and (1,2) and a form a graph of horizontal line y =2.

Graph is attached.

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A) The data modelling is an exponential function.

B) The explicit funciton that will be used to represent the data is;

f(n) = 2(2)^(n - 1)

C) The average rate of change here is; 7

A) We are given the coordinates as;

(1, 2), (2, 4), (3, 8), (4, 16)

From the given coordinates, we can observe a pattern which is that when x increases by 1, then y is multiplied by 2.

Thus, we can see that as the quotient between consecutive terms is the same, the data is a geometric sequence which is an exponential function.

B) The explicit formula that will be used for a geometric sequence with common ratio r and first term a is given by:

f(n) = ar^(n - 1)

Since first term ; a = 2

and common ratio r = 2, then we can say that;

f(n) = 2(2)^(n - 1)

C) The formula for average rate of change here is;

dy/dx = (y₂ - y₁)/(x₂ - x₁)

The coordinates of the 2nd and 4th day are;

(2, 4) and (4, 16)

Thus;

dy/dx = (16 - 4)/(4 - 2)

dy/dx = 14/2 = 7

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Answer:

18

Step-by-step explanation:

x = 4

4x

= 4 * 4

= 16

y = 2

4x + y

= 16 + 2

= 18

Answer: (4,-3)

Step-by-step explanation:

4x+5y=1       (1)

3x-2y=18     (2)

Multiply both parts of equation (1) by 2 and both parts of equation (2) by 5:

8x+10y=2

15x-10y=90

Sum these equations:

23x=92

Divide both parts of the equation by 23:

x=4

Substitute the value of x=4 into equation (1):

4(4)+5y=1

16+5y=1

16+5y-16=1-16

5y=-15

Divide both parts of the equation by 5:

y=-3

Thus, (4,-3)

Answer:

C

Step-by-step explanation:

Even though quotient means divide I instead used the minus symbol since they both mean something negative or taking away. Then, the 7 goes before everything adding onto what was left from the second part.

Tony has 10.5 cookies.

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order term, where m is the slope and b is the y-intercept.

Given that, Adam has 6 cookies less than Tony, there are a total of 15 cookies between both of them.

Let the number of cookies Tony has be x,

x+x-6 = 15

2x - 6 = 15

2x = 21

x = 21/2 = 10.5

Hence, Tony has 10.5 cookies.

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Work Shown:

11 rock songs

229 total

11/229 is the probability of randomly selecting a rock song. The fraction doesn't reduce since 11 and 229 have no factors in common (other than 1).

If you wanted to convert to decimal form, then 11/229 = 0.04803 approximately. This converts to about 4.803%

By using the concept of linear inequation, the required solution is

[tex]x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here the given linear inequation is

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7[/tex]

Now

[tex]3x \geq 5 \ or \ \frac{-3}{5}x -3 > 7\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5} x > 7 + 3\\\\x \geq \frac{5}{3} \ or \ \frac{-3}{5}x > 10\\\\x > \frac{5}{3} \ or \ x < \frac{10 \times 5}{-3}\\\\x > \frac{5}{3} \ or \ x < -\frac{50}{3}[/tex]

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Answer:

Step-by-step explanation:

i think the answer is 10 or 5

The linear equation that passes through the two given points is:

y = (-1/4)*x - 2/4

A general linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (-1, -1/4) and (1, -3/4)

Then the slope is:

m = (-3/4 + 1/4)/(1 + 1)

m = (-2/4)/2 = -2/8 = -1/4

the line is:

y = (-1/4)*x + b

To find the value of v we can replace the point  (1, -3/4) so we get:

-3/4 = (-1/4)*1 + b

-3/4 + 1/4 = b

-2/4 = b

The linear equation is:

y = (-1/4)*x - 2/4

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The simple interest on a $10000 loan offered at a rate of 9% over 240 days is $10591.78

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

The formula is given as

S.I = p(1 + rt)

Substituting the values into the equation,

S.I = 10000(1 + 0.09 * 240)

S.I = 10591.78

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Step-by-step explanation:

first order them from least to greatest

13,14,18,21,22,26,32,39,39,42

then just look for the term in the middle

sunset there are 2 numbers in the middle you will add them both and subtract them by 2

42+39 then / 2 =40.5

Answer:

x = 62

Step-by-step explanation:

40 + (x + 16) + x = 180 (sum of angles in a triangle=180)

2x + 56 = 180

2x = 124

x = 62

The total amount he will pay after 25 years is $18,97,500.

His monthly payment will be $6,325.

Given, the cost of mortgage is $720,000, and the owner of the house makes a down payment of $60,000, with 7.5% interest rate and 25 years repayment plan.

Now, the total amount of the loan be,

720000 - 60000 = 660,000

monthly rate = 7.5/12 = 0.625%

Number of payment periods = 25

Total amount he has to pay after 25 years,

660000 + (660000×7.5×25)/100

= $18,97,500

His monthly payment will be

1897500/25×12

= $6,325

Hence, the total amount he will pay after 25 years is $18,97,500

also, his monthly payment will be $6,325.

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Step-by-step explanation:

Where's the calculator

The value of 2*(3*5) = 68.

The value of (2*3)*5 = 68.

What is multiplication?

A mathematical formula that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of 6 and 5 is 30.

Given: The operation * is defined as,

a*b = a + b - 2ab

We have to find the value of 2*(3*5) and (2*3)*5

First to find the value of 2*(3*5).

2*(3*5) = 2*(3 + 5 - 30) = 2*(-22) = 2 + (-22) - 2(-22)(2) = 68.

Now to find the value of (2*3)*5.

(2*3)*5 = (2 + 3 - 12)*5 = -7*5 = (-7) + 5 - 2(-7)(5) = -2 + 70 = 68.

Therefore, 2* (3*5) = 68 and (2*3)*5 = 68.

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The statement that is correct regarding their solutions is A. Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.

From the information, Salina and Nessa combined like terms using the same expression.

The expression given is illustrated as.

6x²y - 3 + x²y + 2xy² + 2xy - 6

It should be noted that the like terms are:

6x²y and x²y as well as -3 and -6.

Combine the like terms

6x²y + x²y = 7x²y

Also, -3 + (-6) = -9

Therefore, the value will be 7x²y + 2xy² + 2xy - 9

The correct option is A as it illustrated the mistake Salina made.

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Answer:

A is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x(x + 7)(x²+49) = 0

(apply the zero product)

x=0 or x+7 =0 or x² + 49 = 0

x+7 =0

x=-7

x² + 49 = 0

no real solution for this i think

Answer = x=0 or x=-7

Answer:

p=p=10/3

Explanation:

9-6p =-11=p=10/3

Answer:18.43

Step-by-step explanation:

On differentiating the given function with respect to x , we get f'(x) = 10x⁴ - 8x⁻⁵  .

In the question ,

it is given that

the function is f(x) = 2x⁵ + 3 + 2x⁻⁴

the derivative of x⁵ is [tex]=[/tex] 5x⁴ ,

the derivative of 3 is = 0

the derivative of x⁻⁴ = -4x⁻⁵ .

on differentiating the function  f(x) = 2x⁵ + 3 + 2x⁻⁴ with respect to x is

f'(x) = 2*d/dx(x⁵) + d/dx(3) + d/dx(x⁻⁴)

Substituting the values of derivative ,

we get

f'(x) = 2*(5x⁴) + 0 + 2(-4x⁻⁵)

f'(x) = 10x⁴ - 8x⁻⁵

Therefore , On differentiating the given function with respect to x , we get f'(x) = 10x⁴ - 8x⁻⁵  .

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Answer:

[tex]3x - 10 = 25 + x + 15[/tex]

according to theorem

[tex]3x - x = 40 + 10 \\ 2x = 50 \\ x = 25[/tex]

Hopefully this will help u

Step-by-step explanation:

this creates a right-angled triangle, with the length of the slide being the Hypotenuse (the side opposite of the 90° angle), and height and base are the legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse, a and b being the legs.

length² = 9² + 12² = 81 + 144 = 225

length = sqrt(225) = 15 ft

Diving the polynomial expression f(m) = 8m^3 + 5m^2 - 32m - 20 and g(m)  = 8m + 5, as (f/g)(m) using long division gives m^2 - 4

Long division refers to a way of dividing large numbers including polynomials

performing the long division  (f/g)(m) gives

divisor               8m + 5

dividend            8m^3 + 5m^2 - 32m - 20                      

quotient            m^2

multiplication (quotient and divisor) = 8m^3 + 5m^2

subtraction (dividend - result of multiplication) =  - 32m - 20                       new dividend =  - 32m - 20

divisor               8m + 5

dividend           - 32m - 20                    

quotient            -4

multiplication (quotient and divisor) = - 32m - 20    

subtraction (dividend - result of multiplication) =  0               

new dividend = 0

The quotient is then added as

m^2 - 4

The second option is the correct option

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The probability that the Yankees will win when they score fewer than 5 runs is; 0.567

We are given;

Event A which is when Yankees win has a probability of; P(A) = -.45

Thus, Event that the Yankees don't win which is when they lose is;

P(A') = 1 - 0.45 = 0.55

Event B which is the event that the Yankees score 5 or more runs has a probability of; P(B) = 0.6

Event that the Yankees score 4 or less run is given by the probability;

P(B') = 1 - 0.6 = 0.4

The probability that the Yankees win and score 5 or more runs is;

P(A' ∩ B') = 0.34

Thus, the probability that the Yankees will win when they score fewer than 5 runs wanted is given by the chain rule in conditional probability of the formula;

P(A' | B') = P(A' ∩ B')/P(B') = 0.34/0.6

P(A' | B') = 0.567

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