Each of the following figures shows three identical capacitors connected to a battery. Which arrangement has the greatest equivalent capacitance? (A) EL HHH HA (D) HA + €

Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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Answer: x = 5

Step-by-step explanation:

Use Pythagorean's Theorem

\(a^2+b^2=c^2\\12^2+x^2=13^2\\144+x^2=169\\x^2=25\\x=5\)

Answer:

Step-by-step explanation:

I think not because if a series of true conditional statements then it won't lead to a false conclusion

Step-by-step explanation:

Hey there!

Given;

[A = 1/2b*h]

Divide both sides by 'h'.

A/h = 1/2(b*h/h) [ on right side'h' gets cancelled].

Multiply '2' and 'A'.

A*2/h = b

b = 2A/h.

Hope it helps...

Answer:

\( \frac{2a}{h} = b\)

Step-by-step explanation:

The formula for the area of a triangle is:

\(a = \frac{1}{2} (bh)\)

to solve for b, multiply both sides by 2...

\(2a = bh\)

then divide both sides by h...

\( \frac{2a}{h} = b\)

The Slope of line is 10

the equation of line is y = 10x + 4.

The equation of a line is a formula that describes the relationship between the x and y coordinates of points on the line. The most commonly used form of the equation of a line is the slope-intercept form: y = mx + b

First make a chart for x and y values from the given graph;

Study time in hours (x) =  60    75    70     80    90    80   100   95   100

Grade % (y) =                       1       1       2       2      2       3      3      4      4

We know that the line equation, y = mx + b

Slope (m) = \(\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\)

Take any two values from chart, (2, 80) and (4, 100)

Put the values then, m = \(\frac{100-80}{4-2}} = \frac{20}{2} = 10\)

m = 10

Therefore, the Slope of line is 10.

So, equation for (2, 80) is: y = mx + b

80 = 10 × 2 + b

b = 4

put the values in above line equation; y = 10x + 4

Therefore, the equation of line is y = 10x + 4

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Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Answer:

the sequence is the a geometric sequence because the terms has a common ratio. the common ratio = -80 / 200 = -2 / 5common ratio = 32 / -80 = -2 /5

so the next to term can be solve multiplying the last term with the common ratio

x = -12.8 ( -2 / 5)x = 5.12

y = 5.12 ( - 2 / 5)y = -2.048

Step-by-step explanation: HOPE THIS HELPS!!

Answer:

a line through (-4,2) and (-8,-3) has slope = (2+3)/(-4+8) = 5/4 = (y-2)/(x+4)

cross multiply

5x +20 = 4y-8

5x -4y =-28

Step-by-step explanation:

The t-intercepts are -2 and -1. Therefore, the f-intercept is 0 and the t-intercepts are -2 and -1.

Given the function f(t) = 3t⁴ + 12t³ + 9t²:To find the f-intercept, we let t

= 0. Therefore, the f-intercept is:f(0)

= 3(0)⁴ + 12(0)³ + 9(0)²

= 0 + 0 + 0

= 0. Hence, the f-intercept is 0.To find the t-intercepts, we let f(t)

= 0.

Therefore,3t⁴ + 12t³ + 9t² = 0 Factoring out 3t² gives:3t²(t² + 4t + 3) = 0.Using the zero-product property, we have:3t²

= 0 or t² + 4t + 3

= 0.Solving for t in 3t²

= 0 gives:t

= 0 Solving for t in t² + 4t + 3

= 0 gives:t

= (-4 ± √(16 - 12)) / 2t

= (-4 ± 2) / 2t

= -2 or -1

Therefore, the t-intercepts are -2 and -1. Therefore, the f-intercept is 0 and the t-intercepts are -2 and -1.

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Answer:

$60.42

Step-by-step explanation:

0.06 x $57 = $3.42

$57 + $3.42 = $60.42

Hope this helped! :)

Answer:

The answer is D: -y^4

Step-by-step explanation:

(-1/y^-4) = -1(y^4)/1 = -y^4

Answer:(6,-7)

Step-by-step explanation:

you just flip in over the x axis so the only thing changing is y lol

It should be reported as a restricted cash in the long-term section of the company balance sheet.

Note payable  can be defined a the money a company or an organization owes or the money they are expected to payback..

Note payable is classified as long term liabilities. Hence, the cash amount of $100,000 should be reported or recorded in the balance sheet as a restricted cash.

Therefore  the $100,000 is reported as a restricted cash.

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The total cost of Ashley's car will be amount of $26,460.

A monthly payment is a payment made every month to pay off loans or advances. It's similar to EMI.

Ashley bought a new car for $25,000. She paid a 10% down payment and financed the remaining balance for 60 months with an APR of 4.4%.

To find 10% of $25,000

⇒ down payment = $2500

The remaining balance of (25,000 - 2500) is $22,500 for 60 months with an APR of 4.4%

The total payback = P× r/100 × T + P

Here P = $22,500 , r =  4.4%, and T = 4 years

The total payback = 22,500 × 4.4/100 × 4 + 22,500

The total payback = 22,500 × 0.044 × 4 + 22,500

The total payback =3,960 + 22,500

The total payback = 26,460

Therefore, the total cost of Ashley's car will be amount of $26,460.

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation:

Answer:

oK so:

your slope formula is y = mx + b

m= slope

b= y intercept

              knowing this---->

y= 1/3x +b

      to find b, you must plug in the given point to your formula: (3,1)

1 = 1/3(3) + b     <--- solve b

b = 0                (1/3*3) = 1    ----->  move the 1 to the left by subtracting and you

                                                     get 0 for b.

your slope formula for the question is:       y = 1/3x

use this new formula and plug in each answer choice; if both sides equal to each other, that is your answer!

     first choice:  (9,3)                   3 = 1/3(9)      

                                                                    true!

     second choice:  (2,0)              0 = 1/3(2)

                                                                    false!

      third choice:  (4,2)                    2 = 1/3(4)

                                                                     false!

      fourth choice:  (4,4)                   4 = 1/3(4)

                                                                    false!

therefore your final answer is (9,3)

hope this helpsss

Answer:

8750 Rs

Step-by-step explanation:

Saves

12.5 : 100 = x : 10 000

x = 10 000 * 12.5 / 100

x = 100 * 12.5

x = 1250 Rs

Total he spends

10 000 - 1250 = 8750 Rs

Answer:

-7/4

Step-by-step explanation:

(-1,2) (3,-5)

x1 y1 x2 y2

-5-2=-7

3-(-1)=4

-7/4

The rule of the volume of the triangular pyramid is

b is the base of the triangular base

h is the height of the triangular base

H is the height of the pyramid

From the given figure we can see

The base of the triangular base is 29 cm and its height is 9 cm, then

b = 29

h = 9

Since the volume of the pyramid is 318 cubic cm, then

V= 318

Substitute them in the rule above to find H

The height of the pyramid is 7.31 cm

The answer is A

Answer:

40

Step-by-step explanation:

I divided 1600 ÷ 10 = 160

Then I divided 160 ÷ 4 = 40

Two values of 0 where cos (0) = -1 are π and 2π. Co-functions could be used to answer this question by using the identity:

sin (90° - θ) = cos θ.

In mathematics, a co-function is a function that is related to another function by a complementary angle. For example, if θ is an angle in standard position, then sin θ and cos θ are co-functions because sin (90° - θ) = cos θ. Co-functions are useful in solving trigonometric problems, especially when dealing with angles of rotation or projections

Since sin (3π/2) = 1, then 90° - (3π/2) = 0°. So, cos (3π/2) = sin 0° = 1. And, cos (3π/2 + 2πn) = cos (3π/2) = -1, where n is an integer. Hence, θ = 3π/2 + 2πn is one solution where cos (θ) = -1.

The two solutions for θ = 3π/2 + 2πn that yield cos (θ) = -1 are θ = 3π/2 + 2π(0) = π and θ = 3π/2 + 2π(1) = 2π

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Answer:

Step-by-step explanation:

Given:

Isolate b:

Find b:

\(\\ \sf\longmapsto t+\dfrac{1}{2}b=Y\)

\(\\ \sf\longmapsto \dfrac{1}{2}b=Y-t\)

\(\\ \sf\longmapsto \dfrac{b}{2}=Y-t\)

\(\\ \sf\longmapsto b=2(Y-t)\)

\(\\ \sf\longmapsto b=2Y-2t\)

Answer:

A confidence interval is made from a sample to estimate the truth for a population.

A confidence interval is a statistical interval that is found from analyzing sample data to justify a larger statement about a great group of people or things. Common confidence intervals are 95% and 99%.

The value of x + y is -12i.

What are complex numbers?

Real numbers and imaginary numbers combine to form complex numbers, which have two components. Complex numbers serve as the foundation for more complex math, including algebra. They have numerous practical applications, particularly in the fields of electronics and electromagnetism.

Here, we have

Given x = 4 - 5i and

y = -4 - 7i

Now we have to find the value of x+y.

We will add both complex numbers and we get

x + y = 4 - 5i + (-4 -7i)

x + y = - 12i

Hence, the value of x + y is 12i.

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A

Step-by-step explanation:

ik trust me

Answer:

A. The prepaid phone plan will have a steeper line and lower y-intercept.

Step-by-step explanation:

did it on edge 2020

Both are vertical angles (opposite)

So, they are congruent ( equal)

6a +11 = 2a+83

Solve for a:

6a -2a = 83-11

4a= 72

a= 72/4

a= 18

Value of the angles:

6a+11 = 6(18)+11 = 108+11 = 119°

2a+83 = 2(18)+83 =

The given solution of the wave equation is derived by applying d'Alembert's formula. The solution satisfies the initial conditions y(x, 0) = f(x) and y₁(x, 0) = g(x), where f(x) and g(x) are arbitrary functions.

To derive the given solution, we start with the d'Alembert's formula for the wave equation: y(x, t) = 1/2[f(x + at) + f(x - at)] + 1/(2a) ∫[x-at,x+at]g(s)ds. This formula represents a solution to the wave equation with initial conditions y(x, 0) = f(x) and y₁(x, 0) = g(x), where f(x) and g(x) are arbitrary functions. By substituting the given initial conditions into the d'Alembert's formula and simplifying the integral, we can reduce the solution to the form y(x, t) = 1/2[f(x + at) + f(x - at)] + 1/(2a) ∫[x-at,x+at]g(s)ds.

This reduced form of the solution represents the wave equation solution in terms of the initial conditions and the wave speed a. It shows how the wave propagates in space and time, with the term 1/2[f(x + at) + f(x - at)] capturing the two traveling wave components moving in opposite directions, and the integral term 1/(2a) ∫[x-at,x+at]g(s)ds accounting for any additional source or boundary effects.

In conclusion, the given solution of the wave equation is derived using d'Alembert's formula and satisfies the specified initial conditions. The solution is then reduced to a form that represents the wave propagation and incorporates the initial conditions and wave speed.

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The correct statements for the given probability are-

The following are the key concepts for probability problems to understand:

Given condition:

Total number of card in deck = 52

Total black cards = 26

Total diamonds = 13

So,

probability ( black card ) = total black card / total cards

probability ( black card ) = 26 /52

probability ( black card ) = 1/2

probability (diamond )  = total number of diamond cards / total cards

probability (diamond )  = 13/ 52

probability (diamond ) = 1/4

probability (compound event) = probability (black  and diamond)

probability (compound event) =  1/2 * 1/4

probability (compound event) = 1/8

Thus, The correct statements for the given probability are-

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Complete question:

From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event?

A) The probability of drawing the black card is 1/2

B) The probability of drawing the diamond is 1/4

C)The probability of the compound event is 1/6

D) The probability of the compound event is 1/8

E) The probability of the compound event is 3/4 ​