Jocelyn is designing a bed for cactus specimens at a botanical garden. The total area can be
modeled by the expression 2x2 + 7x +3, where x is in feet.
Suppose in one design the length of the cactus bed is 4x, and in another, the length is 2x + 1. What are the widths of
the two designs?

Answer:

The answer is 3,500 calories

Step-by-step explanation:

The reason why is because the area of the pan is 7/8 and a brownie has a area of 1/16 that means 14 brownies can fit in the pan and because each brownie 250 calories that means 14x250=3,500 calories your answer.

Hopefully this helped give me 5 stars!

Answer:

A

Step-by-step explanation:

For the sequence, the defining formula is given as;

an = Previous term + 9

So a2 will be -5 + 9 = 4

a3 will be 4 + 9 = 13

a4 will be 13 + 9 = 22

a5 will be 22 + 9 = 31

So the sequence of numbers will be;

-5, 4 , 13 , 22 , 31

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

Please mark me as brainliest

Step-by-step explanation:

2 log3x – 2 logx3 -3 <0

\(\mathrm{Subtract\:}2\log ^3\left(x\right)\mathrm{\:from\:both\:sides}\)

\(2\log ^3\left(x\right)-2logx^3-3-2\log ^3\left(x\right)<0-2\log ^3\left(x\right)\)

\(\mathrm{Simplify}\)

\(-2logx^3-3<-2\log ^3\left(x\right)\)

\(\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\)

\(-2logx^3-3+3<-2\log ^3\left(x\right)+3\)

\(\mathrm{Simplify}\)

\(-2logx^3<-2\log ^3\left(x\right)+3\)

\(Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)\)

\(\left(-2logx^3\right)\left(-1\right)>-2\log ^3\left(x\right)\left(-1\right)+3\left(-1\right)\)

\(\mathrm{Simplify}\)

\(2lx^3og>2\log ^3\left(x\right)-3\)

\(\mathrm{Divide\:both\:sides\:by\:}2lx^3o;\quad \:l>0\)

\(\frac{2lx^3og}{2lx^3o}>\frac{2\log ^3\left(x\right)}{2lx^3o}-\frac{3}{2lx^3o};\quad \:l>0\\\)

\(\mathrm{Simplify}\)

\(g>\frac{2\log ^3\left(x\right)-3}{2lx^3o};\quad \:l>0\)

The reason for normalizing a wave function is primarily to ensure that ψ is square-integrable and represents a valid probability distribution function for a particle.

The normalization of a wave function is a crucial step in quantum mechanics to ensure that the wave function represents a valid physical state. It is typically achieved by dividing the wave function by a normalization constant.

The first reason for normalization, as mentioned in option (a), is to guarantee that ψ is square-integrable. This means that the integral of ψ*ψ over all space is finite. A square-integrable wave function ensures that the probability of finding the particle within a given region is well-defined and normalized to unity.  

The second reason, as mentioned in option (b), is to make ψψ equal to the probability distribution function for a particle. The probability of finding a particle in a specific state is given by the modulus squared of the wave function (ψψ). By normalizing the wave function, we ensure that the total probability of finding the particle somewhere in space is equal to 1.  

While options (c), (d), and (e) have their significance in quantum mechanics, they are not directly related to the reason for normalizing a wave function. Normalization primarily ensures the square integrability and probabilistic interpretation of the wave function.  

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Answer:

\(\frac{43}{k}\) times

Step-by-step explanation:

How many times Iris makes her recipe before her sugar runs out is determined by how many times \(k\) can fit into \(43\) thus making the expression \(\frac{43}{k}\).

Hope this helps :)

Answer:

if r= to 13.8 so the answer is 598.28

Answer:

(5.5 , 6)

Step-by-step explanation:

\(Midpoint \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}\right)\\\\\\\left(\dfrac{8+3}{2},\dfrac{5+7}{2} \right)\\\\\\=\left(\dfrac{11}{2},\dfrac{12}{2}\right)\\\\\\=\left(5.5,6 \right)\)

We've been given to find out the midpoint coordinates in which the two coordinates has points (8,5) and (3,7).

The standard formula for calculating midpoint of two given coordinates are,

\(\implies\sf{( \frac{x_1 + x_2}{2} )( \frac{y_1 + y_2}{2} )}\)

Here we have following data:

Replacing the values in formula we get,

\(\implies\sf{( \frac{8 + 3}{2} ) , ( \frac{5 + 7}{2}) }\)

\(\implies\sf{( \frac{11}{2} ) , ( \frac{12}{2} )}\)

\(\implies\sf{(5.5) , (6)}\)

Answer:

\(u(u + 1)\)

Step-by-step explanation:

first and foremost you have positive and minus 1 which will cancel out to zero

then we're left with

\( {u}^{2} + u \\ factorize \: \: u \: out \: to \: get \\ u(u + 1)\)

The system of linear equations that can be formed to find x and y is 3x + 2y = 15.12 and 2x + 4y = 19.36. Then one can of chili costs $2.37 and one jar of salsa costs $4.005.

Let us consider  x being  the cost of one can of chili and y be the cost of one jar of salsa.
Then we can write two equations
3x + 2y = 15.12
2x + 4y = 19.36

We can multiply the first linear equation by 2 and subtract it from the second  linear equation in order to  eliminate x
(2x + 4y = 19.36) - 2(3x + 2y = 15.12)
= -4x + 0y
= -9.48

Applying Simplification to this equation
-4x = -9.48
Dividing both sides by -4 gives us:
x = 2.37

Now we can place this value of x into either of the original equations to find y
3(2.37) + 2y = 15.12
7.11 + 2y = 15.12
Subtracting 7.11 from both sides
2y = 8.01
Dividing both sides by 2
y = 4.005
Then, one can of chili costs $2.37 and one jar of salsa costs $4.005.

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Step 1

State an expression for the probability of an event.

Number of required events = 4

Total number of events = 7

Step 2

Find the probabilities of defective batteries with replacement and without replacement

Step 3

Find the probabilities that both are defective.

Hence the probability that 2 batteries selected at random without replacement are both defective is 2/7

Answer:

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Step-by-step explanation:

Recall the MacLaurin series for sin(x)

\(\displaystyle \sin(x)=x-\frac{x^3}{3!}+\frac{x^5}{5!}-...\)

Substitute 3t²

\(\displaystyle \displaystyle \sin(3t^2)=3t^2-\frac{(3t^2)^3}{3!}+\frac{(3t^2)^5}{5!}-...=3t^2-\frac{3^3t^6}{3!}+\frac{3^5t^{10}}{5!}-...\)

Use FTC Part 1 to find degree 7 for F(x)

\(\displaystyle \int^x_0\sin(3t^2)\,dt\approx\frac{3x^3}{3}-\frac{3^3x^7}{7\cdot3!}\\\\\int^x_0\sin(3t^2)\,dt\approx x^3-\frac{27}{42}x^7\)

Hopefully you remember to integrate each term and see how you get the solution!

Making (B) as the subject formula, we have the equation B = F/qv

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

F= qvB

The above equation implies that F has its value to be the products of q, v and B

To make (B) as the subject formula, we divide both sides by qv

So, we have

F/qv = B

Rewrte as

B = F/qv

Hence, the soltuion is B = F/qv

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The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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Answer:

2m² + 14m + 2

Step-by-step explanation:

3A + B

= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3

= 6m + 3 + 2m² - 1 + 8m ← collect like terms

= 2m² + 14m + 2 ← in standard form

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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SOLUTION:

Step 1:

We are to find an appropriate expresson for the range for the number of Chirps.

Step 2;

The equation given is y = 5x - 30

The range of x given;

Step 3:

We substitute both the lowest and greatest value into the equations;

Step 4:

It is very obvious that the number of Chirps can never be negative so we need to ignore the -180 and set our range to start from zero.

We now have;

Answer:

there aren't any options. but quadrant four would have a (x,-y) set up. positive x-values, but negative y-values.

The correct order is -3/10, -0.2, 2.02, 4.22, 4 1/8 .

Firstly we will convert the fractions into decimal units i.e

-3/10 = -0.3

41/8 = 5.125

We know that the higher the number in negative number line lower will the value of it so the -0.3 < -0.2

Now we can easily arrange these numbers according to the number line i.e;

Negatives will be first to come on number line and the correct order will be as follow :

-0.3 , -0.2,  2.02, 4.22, 4 1/8

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This is the same as y = 2.5x+10 since 5/2 = 2.5

============================================

Explanation:

Let's find the slope of the line through those given points

m = (y2-y1)/(x2-x1)

m = (7-3)/(-9-1)

m = 4/(-10)

m = -2/5

To find the perpendicular slope, we flip the fraction and flip the sign

flip the fraction: -2/5 turns into -5/2

flip the sign: -5/2 turns into 5/2

The perpendicular slope is 5/2

Side note: The original slope (-2/5) and the perpendicular slope (5/2) multiply to -1.

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

Now find the midpoint

We add the x coordinates of the original points to get 1+(-9) = -8, which cuts in half to -8/2 = -4. This is the x coordinate of the midpoint.

Do the same for the y coordinates. First add: 3+7 = 10, then cut in half: 10/2 = 5. The y coordinate of the midpoint is 5.

The midpoint is (-4,5)

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

The perpendicular bisector will go through this midpoint. It has a slope of m = 5/2

Turn to point slope form to find the equation we need

y - y1 = m(x - x1)

y - 5 = (5/2)(x - (-4))

y - 5 = (5/2)(x + 4)

y - 5 = (5/2)x + (5/2)*4

y - 5 = (5/2)x + 10

y = (5/2)x + 10 + 5

y = (5/2)x + 15

y = 2.5x + 15 ... since 5/2 = 2.5

Given: 16.9 fluid ounces.

Required: To convert ounces to millilitres.

Explanation: Since 1 oz = 29.57352 ml. Hence to convert 16.9 ounces to millilitres, we need to multiply by 29.57352.

Thus we have

Final Answer: 499.8 millilitres.

The probability that all four strawberry pieces will be received by the same child 9/10 outcome.

Total piece of candy = 40

Mint flavor = 36

Strawberry = 04

There are 36 + 04 = 40 total outcomes for the chocolate pick.

There are 36 outcomes resulting in you picking a mint candy.

Probability is the number of outcomes you’re testing for divided by the number of total outcomes. So in this case that’s 36/40 or 4/5 . And also,  

04 /40 = 1/10

Therefore, adding both, we get,

4/5 + 1/10 = 9/10

The probability that all four strawberry pieces will be received by the same child is 9/10.

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Answer:

Ur answer should be 2.

Step-by-step explanation:

it is very similar to do the manual division of numbers.

5x² - 18x - 15 ÷ x - 4 =

so, we are starting on the left, dividing 5x² by x.

5x²/x = 5x

5x² - 18x - 15 ÷ x - 4 = 5x

then we multiply (x - 4) by 5x and subtract the result from the left part. and then we pull down the next term

5x² - 18x - 15 ÷ x - 4 = 5x

- 5x² -20x

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

0 2x - 15

and again, we take the left term and divide by x :

2x/x = 2

5x² - 18x - 15 ÷ x - 4 = 5x + 2

and again we multiply (x - 4) by 2 and subtract the result. and, if there still is one, we pull down the next term.

5x² - 18x - 15 ÷ x - 4 = 5x + 2

- 5x² -20x

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

0 2x - 15

- 2x - 8

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

0 -7

there is no more term to pull down, so we are finished.

there is a remainder in the last line unequal to 0.

this becomes therefore -7/(x - 4).

so, the total result is

(5x² - 18x - 15) ÷ (x - 4) = 5x + 2 - 7/(x - 4)

2.

the same thing. we are now dividing the left terms by 3x, and then multiply that result every time with (3x - 2), subtract this abd pull the next term down until there is no more term to be pulled.

6x³ - 16x² + 17x - 6 ÷ 3x - 2 = 2x² - 4x + 3

- 6x³ - 4x²

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

0 -12x² + 17x

- -12x² + 8x

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

0 9x - 6

- 9x - 6

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

0 0

there is no remainder in the last line, so the result is

(6x³ - 16x² + 17x - 6) ÷ (3x - 2) = 2x² - 4x + 3

Answer:

5x+12

-8

Step-by-step explanation:

i think you have the problem wrong

Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

Let x be the number of bags of fertilizer and y be the number of bags of peat moss.

If each bag of fertilizer costs $2, if we buy x bags we will have to pay 2x for it.

If each bag of peat moss costs $5, if we buy y bags we will have to pay 5y for it.

In total, we would have to pay 2x + 5y.

Since Jake does not want to spend more than $50 on them, this sum have to be less than or equal to 50, so we have the first inequality of the system:

Also, Jake's van can hold at most 20 bags, so if we buy x bags of fertilizer and y bags of peat moss, we will have a total of x + y bags, and this have to be less than of equal to 20, so we have the second inequality of the system:

Also, we can't buy a negative number of bags of fertilizer or peat moss, so x and y each must be greater than or equal to 0:

So, the system of inequalities is:

Answer:

the decimal is 0.375

And the percentage of it would be 37.5(just adding that because why not)

Answer: 45.3% = 0.453 in decimal form.

Step-by-step explanation: Percent means 'per 100'. So, 45.3% means 45.3 per 100 or simply 45.3/100.

If you divide 45.3 by 100, you'll get 0.453 (a decimal number). Read more below on this webpage.

As you can see, to convert from percent to decimal just divide the percent value (45.3) by 100, and remove the "%" sign.