'[oij u9jijij[9ojjk2 =

hope it helps you tell me in the comment box

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Answer:

your question is

z²+1+y where, y=4,z=3

3²+1+4

9+5

14

is your answer

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{3}{4}\times\dfrac{2}{5} - \dfrac{1}{5}\times\dfrac{1}{4}}\)

\(\mathsf{= \dfrac{3\times2}{4\times5} - \dfrac{1\times1}{5\times4}}\)

\(\mathsf{= \dfrac{6}{20} - \dfrac{1}{20}}\)

\(\mathsf{= \dfrac{6 - 1}{20 - 0}}\)

\(\mathsf{= \dfrac{5}{20}}\)

\(\mathsf{= \dfrac{5\div5}{20\div5}}\)

\(\mathsf{= \dfrac{1}{4}}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{1}{4}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The value of \($r^2 s^2$\) equals 144. The roots of the given quadratic equation are 2 and -2, and squaring their product gives us 144.

To find \($r^2 s^2$\), we need to determine the product of the roots \($r$\)and \($s$\), and then square that value.

The given quadratic equation \($3x^2 + 4x - 12 = 0$\) can be factored as \($(3x - 6)(x + 2) = 0$\). Thus, the roots of the equation are \($r = 2$\) and \($s = -2$\).

Now, we can calculate the product of the roots: \(r \cdot s = 2 \cdot (-2) = -4\).

To find \(r^2\) \(s^2\), we square the value obtained: \((-4)^2 = 16\).

Therefore, the value of \(r^2\) \(s^2\) is 16.

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Answer:

B.) 13

C.) 0.6

Step-by-step explanation:

The order of operations to evaluate these expressions is as follows:

Parentheses

Exponents

Multiplication/Division

Addition/Subtraction

So, for B.)

\(9^\frac{1}{2}+\sqrt{25}-8\div2+3^2\)

This can be rewritten as
\(9^\frac{1}{2}+25^\frac{1}{2}-8\div2+3^2\)

Since there are no parentheses, evaluate the exponents first:

\(3+5-8\div2+9\)

Next, there are no multiplication steps, but there is one division:

\(3+5-4+9\)

To finish, evaluate from left to right:

\(3+5-4+9\\8-4+9\\4+9\\13\)

Follow the same pattern for C.)

\((\frac{1}{2})(\frac{3}{5})(2^3-6)\)

This expression can be rewritten as

\((1\div2)(3\div5)(2^3-6)\)

First, evaluate the expressions in the individual parentheses, keeping in mind the expression \((2^3-6)\) must be evaluated following the same pattern (evaluate the exponent before subtracting six):

\((.5)(.6)(8-6)\\(.5)(.6)(2)\)

To finish, evaluate from left to right:

\((.3)(2)\\.6\)

Hope that helps!

Answer:

8*12=96

Step-by-step explanation:

Answer:

8 newspapers in one pile

Step-by-step explanation:

\(\frac{96}{12} = \frac{8}{x} \\\\96x=8*12\\\\96x=96\\x=1\)

Answer:

t15 is equal to 30-x so therefore t= 30-x/15

Answer:

6 yard = 5.49 meter

Step-by-step explanation: if im wrong im sorry :)

It is False that the imaginary line which passes through the north and south poles, upon which the earth rotates once every 24 hours is called the prime meridian. .

In a geographic coordinate system, a prime meridian is any line of longitude when longitude is defined to be 0°. A great circle is formed by a prime meridian and its anti-meridian (the 180th meridian in a 360° system).

A spheroid, like the Earth, is divided into two hemispheres by this vast circle: the Eastern Hemisphere and the Western Hemisphere (for an east-west notational system).

Different conventions have been used or supported for Earth's prime meridian throughout history in various places. The IERS Reference Meridian is the current international prime meridian for the Earth. It is developed from the former Greenwich Meridian, however it is somewhat different.

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All the equivalent fractions.

I'm fairly certain that's correct but check again if you need to and please, correct me if I got something wrong.

Answer:

because red is colour which attracts more

Answer:

1/15

Step-by-step explanation:

Total number of marbles: 3 + 4 + 1 + 2 = 10

First pick:

p(red) = 3/10

Now there are a total of 9 marbles.

Second pick:

p(blue) = 2/9

Overall probability:

p(red then blue) = 3/10 * 2/9 = 6/90 = 1/15

Answer:

a > 8.9

Step-by-step explanation:

19 - 10a  < -70

-10a < -89

a > 8.9

the derivative of the function g at P_0 in the direction of u = 3i + 4j is 3/10.

To find the derivative of the function g(x, y) = x - y/(xy) + 3 at point P_0(2, -2) in the direction of u = 3i + 4j, we can use the gradient vector.

The gradient vector of g(x, y) is defined as ∇g = (∂g/∂x, ∂g/∂y). We will evaluate this gradient vector at P_0.

∂g/∂x = 1 - (-y/(xy)^2) = 1 + y/(xy)^2

∂g/∂y = 0 - (1/(xy) + 1/(xy)^2) = -1/(xy) - 1/(xy)^2

Now, substituting the coordinates of P_0 into the partial derivatives:

∂g/∂x |P_0 = 1 + (-2)/((2)(-2))^2 = 1 - 1/4 = 3/4

∂g/∂y |P_0 = -1/((2)(-2)) - 1/((2)(-2))^2 = -1/4 + 1/16 = -3/16

The gradient vector at P_0 is ∇g|P_0 = (3/4, -3/16).

To find the derivative of g at P_0 in the direction of u, we take the dot product of the gradient vector and the unit vector in the direction of u:

∇g|P_0 · u/|u|

∇g|P_0 · (3i + 4j)/√(3^2 + 4^2)

= (3/4)(3) + (-3/16)(4) / √(9 + 16)

= 9/4 - 3/4 / √25

= 6/4 / 5

= 3/10

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Answer: (0,-1)

Step-by-step explanation:

Let's start with the first inequality, \(y < -x^{2}+x\). To check which points satisfy this inequality, we can substitute the x- and y-coordinates and see if they satisfy the inequality.

Once again, we can repeat this for the second inequality (but this time, we only need to check the points that satisfy the first inequality).

Therefore, the answer is (A) (0, -1).

Answer:

3/5

=3*4/5*4

=12/20

I hope this will help.

Answer:12/20

Step-by-step explanation:

Answer: ik the second one

Step-by-step explanation: every month you have to add 500 dollars .

Amount of money owed

1 = 500

2 = 1000

3 = 1500

etc

Answer:

Step-by-step explanation:

Between 1849 and 1852, the population of California more than doubled due to the California Gold Rush.

Between 1849 and 1852, the population of California more than doubled. California saw a population boom in the mid-1800s due to the California Gold Rush, which began in 1848. Thousands of people flocked to California in search of gold, which led to a population boom in the state.What was the California Gold Rush?The California Gold Rush was a period of mass migration to California between 1848 and 1855 in search of gold. The gold discovery at Sutter's Mill in January 1848 sparked a gold rush that drew thousands of people from all over the world to California. People from all walks of life, including farmers, merchants, and even criminals, traveled to California in hopes of striking it rich. The Gold Rush led to the growth of California's economy and population, and it played a significant role in shaping the state's history.

Answer:

Step-by-step explanation:

This question is asking you to find the value of y when x = -4. If you locate the x value of -4, y = -10 here. Therefore, f(-4) = -10 and in coordinate form, (-4, -10).

Answer:

9 rings

Step-by-step explanation:

Given that :

Number of days until craft sale = 91 days

Number of rings required to make before sale = 817 rings

If same number of rings is made per day;

Number of Daily ring production will be ;

817 / 91

= 8.978 rings

= 9 rings (approximately)

Answer:

\(69.8637\)

(4d.p)

Combining these, we have\($6 \times 6 = \boxed{36}$\) different arrangements of the numbers \(${}1,$ ${}2,$ ${}3,$ ${}4,$ ${}5,$ $6$\) in a row where the sum of any adjacent numbers is even.

Products intended for exporting after processing into goods or processed products are referred to as "basic products," as are goods planned for export after processing. Samples 1 - 3 Samples 2 - 3.

We may start by noting that at minimum one of the neighboring numbers must be even for the sum of both numbers to be even. This means that a even numbers (2, 4, 6) as well as the odd numbers (1, 3, 5) should be arranged in the appropriate positions.

Let's start by thinking about the even positions. The second, fourth, and sixth places are the only even positions. We can choose any variant of the 3 even numbers to occupy these spots, giving us\($3! = 6$\) ways.

Let's now think about the unusual positions. The first, third, and fifth positions are the only ones that are odd. We have an additional \($3! = 6$\)ways to fill these spots by using any combination of the 3 odd numbers.

Consider the odd locations now. The first, third, and fifth places are the three odd positions. We have an additional\($3! = 6$\)ways by using any permutation of the three odd numbers to fill these positions.

Together, this give us \($6 \times 6\) = \(\boxed{36}$\) different ways to arrange the numbers \(${}1,$ ${}2,$ ${}3,$ ${}4,$ ${}5,$ $6$\)in a row so that the sum of any two adjacent numbers is even.

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The answer is 25

Step-by-step explanation:

We know that all the angles of a triangle add up to 180 degrees.

If J = L then L = J so they will both equal 50 cut in half is 25

i hope this helps:)

Answer:

126°

Step-by-step explanation:

Answer:

I believe Jamal is correct, because he is just doing it an easy way. Instead of converting the mixed number to an improper fraction he is adding the measurements step by step.

Hope it Helps!

:)

Answer:

1st answer choice

no because there is no whole number that when multiplied by itself gives 125

Step-by-step explanation:

125 is a perfect cube

5 times 5 times 5 = 125

Answer:

Option A

Step-by-step explanation:

125 is NOT a perfect square, because there is no whole number that multiplies by itself to give 125.

To check the perfectness of a square, take the square root:

\(\sqrt{125} =\) 11.1803399

The above number is NOT a whole number

∴125 is NOT a perfect square

Answer:

C) 4a-2a=a+a

Step-by-step explanation:

4a-2a=2a

2a=a+a

2a=2a

answer:

option c is correct!

explanation:

hope this helped! <3 i answered your question & hope you have a great day! if you wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Therefore, the value of `i` in the circuit is `(24/41) e^(-3t) cos(2t) - (140/41) e^(-3t) sin(2t)` where `i(0) = 24` and `i'(0) = 4.

Given that `d²i/dt² +6(di/dt)+13i=0` is a second-order linear differential equation, and

`i(0) = 24` and `i'(0) = 4` are the initial conditions.

We have to find the current `i` in the circuit.

The Laplace transform of `d²i/dt² +6(di/dt)+13i=0` is `L(d²i/dt²) + 6L(di/dt) + 13L(i) = 0`.

Using the properties of Laplace transforms, we get: `L(d²i/dt²) + 6L(di/dt) + 13L(i) = 0` ⇒ `L((d²i/dt²)+6(di/dt)+13i) = 0`Therefore, `L(d²i/dt²+6(di/dt)+13i) = 0`.

Since the Laplace transform of the derivative of a function `f(t)` is `sF(s) - f(0)`,

where `F(s)` is the Laplace transform of `f(t)`.

We can write the above equation as:L(s²I(s) - si(0) - i'(0)) + 6[sI(s) - i(0)] + 13I(s) = 0

Substituting the initial values `i(0) = 24` and `i'(0) = 4`,

we get:L(s²I(s) - 24s - 4) + 6sI(s) - 144 + 13I(s) = 0L(s²I(s) + 6sI(s) + 13I(s)) = 24s + 140

Taking `I(s)` common, we get `I(s)(s² + 6s + 13) = 24s + 140`.

Hence, `I(s) = (24s + 140)/(s² + 6s + 13)

We have to evaluate the inverse Laplace transform of `I(s)` to get `i(t)`.

To do that, we need to find the roots of the denominator `s² + 6s + 13`. By using the quadratic formula, we get the roots as `-3 + 2i` and `-3 - 2i`. The denominator can be written as `s² + 6s + 13 = (s - (-3 + 2i))(s - (-3 - 2i))`.

Using partial fractions, we can write `I(s)` as `I(s) = [(24s + 140)/(10 + 4i)][1/(s - (-3 + 2i))] - [(24s + 140)/(10 - 4i)][1/(s - (-3 - 2i))]`.

The inverse Laplace transform of `1/(s - (-3 + 2i))` is `e^(αt) cos βt` and that of `1/(s - (-3 - 2i))` is `e^(αt) sin βt`, where `α = -3` and `β = 2`.

Therefore, the inverse Laplace transform of `I(s)` is given by:i(t) = [(24s + 140)/(10 + 4i)] e^(-3t) cos(2t) - [(24s + 140)/(10 - 4i)] e^(-3t) sin(2t)

The current `i` in the circuit is given by `i(t) = Re[i(t)]`. Hence,`i(t) = Re{[(24s + 140)/(10 + 4i)] e^(-3t) cos(2t) - [(24s + 140)/(10 - 4i)] e^(-3t) sin(2t)}`= `(24/41) e^(-3t) cos(2t) - (140/41) e^(-3t) sin(2t)`

Therefore, the current `i` in the circuit is given by `i(t) = (24/41) e^(-3t) cos(2t) - (140/41) e^(-3t) sin(2t)`.

Hence, the current i in the circuit where d²i/dt² +6(di/dt)+13i=0 if i(0) = 24 and i'(0) = 4

by using Laplace transforms is given by `i(t) = (24/41) e^(-3t) cos(2t) - (140/41) e^(-3t) sin(2t)`.

Therefore, the value of `i` in the circuit is `

(24/41) e^(-3t) cos(2t) - (140/41) e^(-3t) sin(2t)` where `i(0) = 24` and `i'(0) = 4`.

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Answer:

r = 19 ft

Step-by-step explanation:

Circumference, C is given as 119.32 ft

Circumference of a circle is given by the formula, 2πr

This means that,

C = 2πr, we're told to assume that π = 3.14

So therefore,

119.32 = 2 * 3.14 * r

r = 119.32 / 6.28

r = 19 ft

Answer:

x= 8

Step-by-step explanation:

∠NWV +∠UVW= ∠NUV (ext. ∠ of △UWV)

70° +(3x +6)°= (11x +12)°

70° +6° -12°= (11x -3x)°

64°= (8x)°

8x= 64

x= 64 ÷8 (÷8 on both sides)

x= 8

Alternatively,

∠UVW+ ∠NWV +∠WUV= 180° (∠ sum of △UVW)

(3x +6)° +70° +∠WUV= 180°

∠WUV= 180° -(3x +6)° -70°

∠WUV= (104 -3x)°

∠WUV +∠NUV= 180° (adj. ∠s on a str. line)

(104 -3x)° +(11x +12)°= 180°

11x -3x +104 +12= 180

8x= 180 -116

8x= 64

x= 64 ÷8

x= 8

Horseshoe Falls has a flow rate of approximately 2.52 x 10⁷ cubic meters of water per hour, but the given options do not accurately represent this value.

Horseshoe Falls is one of the three waterfalls that make up Niagara Falls near Buffalo, New York. It has an average flow of 7 x 10³ cubic meters per second. To determine the amount of water that goes over Horseshoe Falls hourly, we need to convert the flow rate from cubic meters per second to cubic meters per hour.

There are 3600 seconds in an hour. To convert the flow rate to cubic meters per hour, we simply multiply the flow rate by the number of seconds in an hour:

(7 x 10³ cubic meters/second) x (3600 seconds/hour) = 25.2 x 10⁶ cubic meters/hour

The closest value to this among the given options is:

b. 4.20 x 10⁵ cubic meters per hour

However, there seems to be a typo or error in the provided options. The correct answer should be:

25.2 x 10⁶ cubic meters per hour (approximately 2.52 x 10⁷ cubic meters per hour)

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a. The cost function is 24000 + 80c.

b. The revenue function is 320c.

c. The breakeven point is 100 units.

Let the number of canoes be c.

Given that the company that manufactures small canoes has a fixed cost of $24,000. It costs $80 dollars to produce each canoe. The function will be:

= 24000 + 80c

The selling price is $320 per canoe. The revenue function is 320c.

The breakeven point will be:

Cost function = Revenue function

24000 + 80c = 320c

Collect like terms

320c - 80c = 24000

240c = 24000

Divide

c = 24000/240

c = 100

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