someone solve please!

Answer: The largest area of a rectangle is 32 square units. A rectangle has its base on x-axis and its upper two vertices on the parabola y= 12 - x^2.

Step-by-step explanation:

This is the answer

Answer:

89%

Step-by-step explanation:

3200-2848=352

changed÷original×100

352÷3200×100

=11

100-11=89

Answer:

yes

Step-by-step explanation:

ok

John is playing a game with a standard deck of playing cards - this statement is true.

playing a card game, set of cards that are numbered or outlined (or both) and are utilized for messing around, for schooling, for divination, and for conjuring. Generally, Western playing a card game are made of rectangular layers of paper or slight cardboard stuck together to frame a level, semirigid material. Some have proposed that the playing a card game previously worked as "play cash" and addressed the stakes utilized for other betting games, and later turned out to be essential for the actual games. Others have proposed associations between playing a card game and chess or dice games, yet this is again theoretical. Different games, for example, a 25-card variation of Euchre which involves the Joker as the most elevated trump, make it one of the main in the game. Frequently, the Joker is a special case, and subsequently permitted to address other existing cards.

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The value of the number is -8

From the question, we have the following statement that can be used in our computation:

5 less than three fourths of a number is one forth of number decreased

by 9

Represent the number with x

So, we have the following equation

3/4x - 5 = 1/4x - 9

Evaluate the like terms

2/4x = -4

This gives

1/2x = -4

Solve for x

x = -8

Hence, the number is -8

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Therefore , the solution of the given problem of velocity comes out to be  33.94 ft/sec is the velocity.

Looking at something from a distance allows us to calculate its speed. An object's speed determines how far it can travel in a certain amount of time. Utilizing the equation velocity = distance/time, velocity is computed. Miles per hour (mph), kilometers an hour (km/h), and meters a second (m/s) are the three most common units of speed (mph).

Here,

Given :

=>  v = (8h) ^ 1/2

=>  v = √8h

We separate the variables whose values we want to be determined in the aforementioned problems.

(1) We change the variable to become

  v = √8h  in order to solve for v.

Using the supplied as a replacement,

v = √8 * 144 = 33.94 ft/sec

Therefore , the solution of the given problem of velocity comes out to be  33.94 ft/sec is the velocity.

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Using the concepts and properties of mean and standard deviation, it is found that:

-------------------

In this problem:

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The measure of the vertex angle of triangle ACE is 50°. The solution has been obtained by using properties of angles.

What is an angle?

An angle is a figure in plane geometry that is created when two rays or lines share an endpoint.

We are given an isosceles triangle ACE which means that AC = CE.

We are given ∠BDE = 115°

Since, angles on a straight line form a linear pair, therefore

⇒∠BDE + ∠BDC = 180°

⇒115° + ∠BDC = 180°

⇒∠BDC = 65°

Since, BD║AE so,

∠BDC = ∠AEC

So, ∠AEC = 65°

Since, AC = CE so,

∠AEC = ∠CAE

So, ∠CAE = 65°

Now, using angle sum property, we get

⇒∠AEC + ∠CAE + ∠ACE = 180°

⇒65° + 65° + ∠ACE = 180°

⇒130° + ∠ACE = 180°

⇒∠ACE = 50°

Hence, the measure of the vertex angle of triangle ACE is 50°.

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When Gracie distributes her carrots equally among the 5 bunnies, each bunny gets 7,878 whole carrots, and 3,939 whole carrots remain without being given to a bunny. These figures are whole numbers.According to the statement, Gracie has 5 pet bunnies that love to eat whole carrots. Gracie has 3,939 carrots to feed the bunnies, and she will use as many carrots as she can and give each bunny the same number.

To calculate the number of carrots each bunny will get:Total number of whole carrots ÷ Total number of bunnies = Number of whole carrots each bunny gets Gracie distributes the 3,939 carrots equally among the 5 bunnies, with each bunny getting 7,878 carrots. This is illustrated in the calculation below:3,939 ÷ 5 = 7,878Hence, the number of whole carrots each bunny gets is 7,878.

When it comes to the number of carrots that remain without being given to a bunny, we need to calculate it using the following formula:Total number of whole carrots − (Number of whole carrots each bunny gets × Total number of bunnies) = Number of whole carrots that remain without being given to a bunnyUsing the figures from the above calculations, the computation will be as follows:3,939 − (7,878 × 5) = 3,939 − 39,390 = -35,451. Therefore, the number of whole carrots that remain without being given to a bunny is -35,451. However, since the answer must be a whole number, we can round this up to 0 carrots. This implies that all of the carrots were given to the bunnies.

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Let Ramanujan pick a complex number $a+bi$, where $a$ and $b$ are real numbers. Then the product of the numbers chosen by Ramanujan and Hardy is:

(

�

+

�

�

)

(

5

+

3

�

)

=

5

�

+

3

�

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+

5

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+

3

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�

2

=

(

5

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+

3

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)

+

(

5

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+

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�

−

3

�

(a+bi)(5+3i)=5a+3ai+5bi+3bi

2

=(5a+3b)+(5b+3a)i−3b

We want this product to be equal to $32-8i$. Equating the real and imaginary parts gives us two equations:

5

�

+

3

�

=

32

(1)

5a+3b=32(1)

5

�

+

3

�

=

−

8

(2)

5b+3a=−8(2)

We can solve this system of equations to find $a$ and $b$. Multiplying equation (1) by 3 and equation (2) by 5, and subtracting the resulting equations gives:

15

�

+

9

�

−

25

�

−

15

�

=

−

96

15a+9b−25b−15a=−96

Simplifying:

−

16

�

=

−

96

−16b=−96

Therefore, $b=6$. Substituting $b=6$ into equation (1) gives:

5

�

+

18

=

32

5a+18=32

Therefore, $a=2$. Thus, Ramanujan picked the complex number $2+6i$.

Based on the given conditions and informations provided, the complex number that was picked by thr Ramanujan is calculated to be  2+6i.

Let Ramanujan pick a complex number a+bi, where a and b are real numbers. Then the product of the numbers chosen by Ramanujan and Hardy is:

(a+bi)(5+3i) = 5a+3ai+5bi+3bi² = (5a+3b)+(5b+3a)i-3b

We want this product to be equal to 32-8i. Equating the real and imaginary parts gives us two equations:

5a+3b=32 (1)

5b+3a=-8 (2)

We can solve this system of equations to find a and b. Multiplying equation (1) by 3 and equation (2) by 5, and subtracting the resulting equations gives:

15a+9b-25b-15a=-96

Simplifying:

-16b=-96

Therefore, b=6. Substituting b=6 into equation (1) gives:

5a+18=32

Therefore, a=2. Thus, Ramanujan picked the complex number 2+6i.

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The number of elves that are helping Santa is 37.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 7 is an equation.

We have,

Number of legs reindeer have = 4

Number of legs elf have = 2

Total number of reindeer and elves = 58

Total legs = 158

Number of elves = x

Number of reindeer = y

We will make two equations.

4y + 2x = 158 _____(1)

x + y = 58 _____(2)

From (2) we get,

x = 58 - y _____(3)

Putting (3) in (1) we get,

4y + 2(58 - y) = 158

4y + 116 - 2y = 158

2y = 158 - 116

2y = 42

y = 21

Putting y = 21 in (3)

x = 58 - 21

x = 37

Thus,

The number of reindeer is 21.

The number of elves is 37.

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Answer:

55%

Step-by-step explanation:

We can infer a few things here and come to a logical conclusion.

$9 is not exactly half of 20 right?

So this tells us that our answer needs to be over 50% because a 50% discount would make the bookbag $10.

If we look at the answers only 1 of them is over 50% and that is 55%.

However, let's check our work

First we multiply 20 by .55 (when multiplying a percent we move the decimal over twice)

\((20) *(.55) = 11\)

We got 11 out of this, the next thing we do is subtract that 11 from the overall 20:

\(20-11= 9\)

Therefore we see that 55% is the answer!

Hope this helps!!

- Kay

Step-by-step explanation:

we see that 55% is the answer

Answer:

From the two graphs, I can see in the picture, I can tell that the left graph represents y=2x because the y-intercept is 0 and the slope is 2 because the line goes up two and over one (2/1) or just 2.

Step-by-step explanation:

Hope this helps

The correct number of Standard deviation to generate a confidence interval is therefore 1.65.

Given that;

This shows that the percentage in a normal distribution that is at most 1.65 standard deviation above average is about 95%.

Percentage above 1.65 SD equals 100 - 95 = 5.

Now, because of the symmetric distribution,

Percentage above 1.65 SD = % below 1.65 SD is what we can see:

Below 1.65 SD + between 1.65 SD below and 1.65 above + above 1.65 SD + % above 1.65 SD = 100%

=> 5% + between -1.65 SD below and 1.65 above + 5% = 100%

=> % between -1.65 SD and 1.65 SD above mean = (100 - 5 - 5)% = 90%

The correct number of SDs to generate a confidence interval is therefore 1.65.

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The percentage of the men in the sample who have blood type O is 40.38%.

What is the percentage?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. The acronyms pct., pct., and occasionally pc are also used to indicate it, however, the percent sign is most frequently used. A % is a number without dimensions and without a standard measurement.

Here, we have

Given: The contingency table below shows the blood types of a sample of people cross-classified by sex.

We have to find the percentage of the men in the sample who have blood type o.

Total number of males = 104

Number of males who has blood type O = 42

Percentage of the males in the sample have blood type O:

= (42×100%)/104

= 40.38%

Hence, the percentage of the men in the sample who have blood type O is 40.38%.

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Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.

Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.

Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.

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Answer:

(-2,-2)

Step-by-step explanation:

x^2 + y^2 = 9

A circle has an equation of the form

(x-h)^2 + (y-k)^2 = r^2

where the center is at ( h,k) and the radius is r

The circle is centered at (0,0) and has a radius 3

The only point entirely within the circle must have points less than 3

(-2,-2)

Answer:

the width of the crate is 19 inches.

Step-by-step explanation:

we know the length is 30 inches and the height is 22 inches. We also know the total volume of the crate is 12,540 cubic inches. So we can plug these values into the formula and solve for the width:

12,540 = 30 x width x 22

Dividing both sides by 30x 22 we get:

width = 12,540 / 30 x 22 = 19 inches

therefore the width is 19 inches.

The amount in the account after 10 years is $6655.98 (rounded to two decimal places).

A deposit is made to a bank account paying an annual interest rate of 3% compounded continuously. No other deposits or withdrawals are made to the account.(a) Write a differential equation satisfied by B, the balance in the account after t years.

To write the differential equation satisfied by B, we know that the balance, B, in the account after t years is being continuously compounded, which means that the differential equation that satisfies B is given by;` d B/d t=r B` Where r is the rate of interest (annual interest rate of 3% in this case).(b) Solve the differential equation given in part (a). Let Bo be the initial balance.

The differential equation is given by `dB/d t=r B` where B(t) is the balance in the account at time t. Now, we will use the separation of variables to solve the differential equation. `dB/d t=r B``(1/B)dB/dt=r` Integrating both sides, we have;`∫(1/B)dB=∫r d t`` ln |B|=r t+ c` Where c is the constant of integration.`

ln |B|=r t+ c`` B(t)=Ce^(rt)`To find the value of C, we use the initial balance given by Bo = B(0), where t=0. Substituting, we have;` Bo = B(0) = Ce^(0) = C`

 Hence, C=Bo. Therefore, the solution of the differential equation is;` B (t) = Bo e^(rt)`(c) If the initial deposit is $4500, give the particular solution satisfying this initial condition.

If the initial deposit is $4500, the initial balance, Bo = B(0) = $4500 and the rate of interest, r = 3% = 0.03. Hence, the particular solution satisfying this initial condition is given by;`B(t) = 4500e^(0.03t)`(d) How much is in the account after 10 years? Round your answer to two decimal places.`B(t) = 4500e^(0.03t)`At t=10,`B(10) = 4500e^(0.03(10)) = $6655.98`

Therefore, the amount in the account after 10 years is $6655.98 (rounded to two decimal places).

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Answer:

Yes

Step-by-step explanation:

-3x+7=-17

      -7    -7

     -3x=-24

     _______

       x=8

Answer:

4.8

Step-by-step explanation:

because if 2 can't go into 3 time than what

Answer:

745.52

Step-by-step explanation:

The periodic signal x(t) can be found by using the complex exponential Fourier series coefficients D0, D1, D-1, D2, and D-2 = -1 + ejπt + e-jπt + (-0.5j)ej2πt + (0.5j)e-j2πt

The Fourier series of a periodic signal is given by:
x(t) = ∑n=-∞∞ Dnejnω0t
Where Dn are the Fourier series coefficients, ω0 is the fundamental frequency, and j is the imaginary unit.

Given that the fundamental period T0 = 2, the fundamental frequency can be found as:
ω0 = 2π/T0 = 2π/2 = π

Substitute the given Fourier series coefficients and the fundamental frequency into the Fourier series equation to find the periodic signal x(t):

x(t) = D0ej0ω0t + D1ej1ω0t + D-1ej(-1)ω0t + D2ej2ω0t + D-2ej(-2)ω0t
x(t) = -1ej0πt + 1ejπt + 1ej(-π)t + (-0.5j)ej2πt + (0.5j)ej(-2)πt
x(t) = -1 + ejπt + e-jπt + (-0.5j)ej2πt + (0.5j)e-j2πt

Therefore, the periodic signal x(t) is:
x(t) = -1 + ejπt + e-jπt + (-0.5j)ej2πt + (0.5j)e-j2πt

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The difference of two sides should be less than third side  and third side  should be less than  sum of two sides.

What is a Traingle ?

A triangle is a 3-sided polygon that includes three edges and 3 vertices. The maximum vital belongings of a triangle is that the sum of the inner angles of a triangle is same to one hundred eighty degrees.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Hence, difference of two sides should be less than x and x should be less than  sum of two sides, which possibly gives us the appropriate length

where x is a third side.

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Answer:

3

Step-by-step explanation:

The equation of a perpendicular line to m = - \(\frac{x}{3}\) must have a slope that is the negative reciprocal of the original slope.

m perpendicular = - \(\frac{1}{\frac{-1}{3} }\)

Simplify the result.

m perpendicular = 3

The answer is:

3

Work/explanation:

If two lines are perpendicular to each other, their slopes will be negative inverses.

The slope of the given line is \(\sf{-\dfrac{1}{3}}\).

The negative inverse of that is 3; so I changed the sign from negative to positive, and flipped the number.

The number of green marbles in the bag is 10

From the question, we have the following parameters:

The given parameters can be represented using the following ratio

Ratio = Green marble : Orange marble

So, we have

Green marble : Orange marble = 2 : 3

When there are a total number of 15 orange marbles in a bag, then we have

Green marble : 15 = 2 : 3

Multiply ratio by 5

Green marble : 15 = 10 : 15

By comparison, we have

Green marble = 10

Hence, there are 10 green marbles in the bag

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The percent of callers who are on hold for more than 2.4 minutes is 50%.

To determine the percent of callers who are on hold for more than 2.4 minutes, we need to calculate the area under the normal distribution curve to the right of the mean (2.4 minutes).

Using a standard normal distribution table or calculator, we can find the z-score associated with 2.4 minutes as:

z = (2.4 - 2.4) / 0.6 = 0

Since the z-score is 0, the area to the left of 2.4 minutes (i.e. the area between negative infinity and 2.4 minutes) is 50%, which means the area to the right of 2.4 minutes (i.e. the area between 2.4 minutes and positive infinity) is also 50%.

Therefore, the percent of callers for a normal distribution with  a mean of 2.4 minutes and a standard deviation of 0.6 minute who are on hold for more than 2.4 minutes is 50%.

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Step-by-step explanation:

Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)

4x+7=6x-154x+7=6x−15

7=6x-15-4x7=6x−15−4x

7=2x-157=2x−15

7+15=2x7+15=2x

22=2x22=2x

22=2x / 222=2x/2

x=11x=11

Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.