A moving box has a square base with an area of 324 in². It's height is 24 inches. What is the volume of the moving box?

The descriptions of each particle is Particle P is in the nucleus and Particle Q revolves around the nucleus.

What is nucleus ?

The nucleus carries the genes, structures that contain the hereditary information, and controls and regulates the functions of the cell (such as growth and metabolism). Small bodies called nucleoli are frequently seen inside the nucleus. The nucleoplasm is the gel-like matrix in which the nuclear parts are suspended.

P is non-charged particle or neutron

Particle Q is negatively charged particle means electron

The nucleus, that dense central core of the atom, contains both protons and neutrons. Electrons are outside the nucleus in energy levels.

So, In nucleus, atom can contain both postively and no charged charged but outside the nucleus negatively charged particles are present that get attracted towards the nucleus.

Thus option d  Particle P is in the nucleus and Particle Q revolves around the nucleus is correct

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Answer:

You need to include a picture because there is no figure. I don't know the other numbers of the angles orsides.

Step-by-step explanation:

Answer:

Quotient: 3x+3

remainder: -2x+5

Step-by-step explanation:

Use polynomial long division

Answer:

b

Step-by-step explanation:

Answer:

X<-4

Step-by-step explanation:

-3x+10>22

subtract 10 to both sides

-3x>12

divide by -3 on both sides

when you divide by a negative number you flip the sign so the answer will be x<-4

Answer:

a) 27

b) 15

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform distribution is:

\(M = \frac{a + b}{2}\)

The variance of the uniform distribution is given by:

\(V = \frac{(b-a)^{2}}{12}\)

The standard deviation is the square root of the variance.

They can be said to follow a Uniform distribution from 1 to 53

This means that \(a = 1, b = 53\)

a. The mean of this distribution is

\(M = \frac{a + b}{2} = \frac{1 + 53}{2} = 27\)

b. The standard deviation is:

\(s = \sqrt{V} = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(53-1)^{2}}{12}} = 15\)

Answer: 108 photos

Step-by-step explanation: i think the answer is 108 because you already know that it can take three pics per second, so when you have 36 seconds you also have correspondingly 36, 3 pictures. so multiply 36 by three i believe and you get your answer 108! i really hope i’m right but you can do this!

Answer:

A. 40x + 10y + 10z = $160

B. 8 Roses, 2 lilies and 2 irises

C.

1. 20x + 5y + 5z = $80

2. 4x + y + z = $16

3. 8x + 2y + 2z = $32

Step-by-step explanation:

Cost for each flower = $160/5 = $32

So we have $32 for each bouquet consisting of 12 flowers each.

Roses = x = $2.50 each

lilies = y = $4 each

irises = z = $2 each

8x + 2y + 2z = $32

8($2.50) + 2($4) + 2($2) = $32

$20 + $8 + $4 = $32

$32 = $32

a. Maximum budget is $160

40x + 10y + 10z = $160

40($2.50) + 10($4) + 10($2) = $160

$100 + $40 + $20 = $160

$160 = $160

b. From above

8x + 2y + 2z = $32

8 Roses, 2 lilies and 2 irises

c. No. There are other solutions If total cost is not limited

1. 20x + 5y + 5z

20($2.50) + 5($4) + 5($2)

$50 + $20 + $10

= $80

2. 4x + y + z

4($2.50) + $4 + $2

$10 + $4 + $2

= $16

3. 8x + 2y + 2z

8($2.50) + 2($4) + 2($2)

$20 + $8 + $4

= $32

The required butter she needed is given as 1.67 cups of butter.

As given in the question, Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels,

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

here,
Let the nutter need be x cups,
now,
Taking the ratio o butter to kernels
[1 / 2] / 3 = x / 10
x = 10 / 6
x = 1.67

Thus, As of the given proportion, she requires 1.67 cups of butter.

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The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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We can express this interval using set-builder notation as: {x | x > 4}

What is expression?

An expression consists of one or more numbers or variables along with one more operation.

The monthly costs of each plan as functions of the number of movies watched:

A(x) = 22 + x

B(x) = 14 + 3x

To graph these functions, we can plot several points for each one, as shown in follow fig.

A(x) - B(x) < 0

(22 + x) - (14 + 3x) < 0

22 + x - 14 - 3x < 0

-2x + 8 < 0

-2x < -8

x > 4

Therefore, Plan A is cheaper than Plan B for any number of movies watched greater than 4. We can express this interval using set-builder notation as: {x | x > 4}

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Answer:

\( c = 77.6 \)

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

\( \dfrac{\sin A}{a} = \dfrac{\sin C}{c} \)

\( \dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c} \)

\( c\sin 75^\circ = 150 \sin 30^\circ \)

\( c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ} \)

\( c = 77.6 \)

You are correct. Good job!

The area of the triangle is 14.1 square meters

The side lengths are given as:

5m, 6m and 9m

Calculate the semi-perimeter (s) using

s = (5 + 6 + 9)/2

Evaluate

s = 10

The area is then calculated as:

\(Area = \sqrt{s(s -a)(s-b)(s-c)\)

This gives

\(Area = \sqrt{10 * (10 -5)(10-6)(10-9)\)

Evaluate the products

\(Area = \sqrt{200\)

Evaluate the exponent

Area = 14.1

Hence, the area of the triangle is 14.1 square meters

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A. AC≅AC, Reflexive Property of Congruence

Correct. This is shared side of the triangles ABC and CDA

B. ∠ACB≅∠CAD, Alternate Interior Angles Theorem

Correct. BC and AD are parallel and AC is transversal

C. ∠BAC≅∠DCA, Alternate Interior Angles Theorem

Correct. AB and DC are parallel and AC is transversal

D. △ABC≅△CDA, SAS Triangle Congruence Theorem

Incorrect. This should be ASA as we have shown above the angles A and C and included side AC are congruent.

Answer:

The first two entries are correct since they are given. Unless you make a mistake compliling the first cell in a "given" line, they are always correct

Third one is not: they are not angles. They are segments - technically they are the SAME segment, it's in common between the two triangles.

Last one is correct, it's SSA

Answer:20

Step-by-step explanation:

17 + 3 = 20

20 + 3 = 23

Answer:

<EAC=75

<BAD=36

<ACD=75

<FAB=75

<CAD=69

<BDA=69

Step-by-step explanation:

EAC= 180-105=75

BAD= CDA

ACD= 75 opposite <s congruent

FAB= 75 vertical <s congruent

CAD=105-36=69

BDA=69 Opposite <s congruent.

Hope this helps! Should be right we just finished this unit.

Answer:

7

Step-by-step explanation: just took the test.

The length of the midsegment of the given trapezoid will be 7 units.

Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;

\(d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }\)

As per the given trapezoid,

The coordinate of the midpoint of AB will be as,

x = (4 - 2)/2 and y = (3 + 4)/2

x = 1 and y = 3.5 thus, (1,3.5)

The coordinate of the midpoint of CD will be as,

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

x = 1 and y = -3.5 thus, (1,-3.5)

The distance between the points (1,3.5) and (1,-3.5) will be given as,

\(D = \sqrt {\left( {1 - 1 } \right)^2 + \left( {3.5 + 3.5 } \right)^2 }\)

D = √(7²) = 7

Hence "The length of the midsegment of the given trapezoid will be 7 units".

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Answer:

a) x* e∧ t/10  =  20 *e∧ t/10 + 2

b) x  =  14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank

c) After a very long time we will find 20 gallons of bleach in the tank

Step-by-step explanation:

The variation of bleach in water in the tank is Δ(x)t:

Δ(x)t  = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt

Now the amount of x added to the tank is:

Rate of adding* the concentration

Rate of adding =  4 gallons per minute

Concentration  half and half ( water + bleach)  = 0,5

Rate of draining =  4 gallons per minute

Concentration of draining: Unknown but can be expressed as:

x(t)/40. According to this

Δ(x)t  =  [4 * 0,5  -  4 * x(t)/40]*Δt

Dividing by Δt on both sides of the equation and tacking limits we get

dx/ dt    =  2  - x / 10

dx/dt + x/10 =2

Multyiplying by e∧ t/10 on both sides

e∧ t/10* [ dx/dt  +  x/10 ]  =  2 *e∧ t/10

To solve it, integrating the first member is

x* e∧ t/10  =  20 *e∧ t/10 + C

for initial condition t = 0

4    =  20 + C

C = -16

a) x* e∧ t/10  =  20 *e∧ t/10 - 16

b) in 10 minutes

x* e∧ t/10  =  20 *e∧ t/10 - 16

x *e  =  20*e  - 16

x   =   20  -  16/e

x   =  20  -  16/2,718

x   =   20 -  5,88

x  =  14,2  gallons.

c) After a very long time we will find 20 gallons of bleach in the tank

Answer:

1. True

2. True

3. True

4. False

5. False

6. False

7. True

8. False

9. True

10. False

Step-by-step explanation:

∈ means "is an element of"

⊂ means "only contains some, but not all, the elements of"

⊆ means "only contains some, possibly all, the elements of"

If one of those symbols is strickenthrough, it simply means the opposite, e.g. "it's not true that it's an element of" or "it's not true that it only contains some, (...) the elements of"

∅ is an empty set

{ something } is a set containing everything inside the curly brackets. Thus, { } is an empty set.

Let's rewrite the statements:

1. 5 is an element of {1, 3, 5, 7, 9}

TRUE

2. 4 is not an element of {1, 3, 9}

TRUE

3. {5, 6, 7} only contains some, possibly all, the elements of {5, 6, 7}

TRUE

4. {1, 2, 3} only contains some, but not all, the elements of {1, 2, 3}

FALSE (it contains all)

5. it's not true that {9} only contains some, possibly all, the elements of {9, 10}

FALSE (it does only contain elements of {9, 10} )

6. it's not true that 8 is an element of {2,4,6,8,10}

FALSE (because it is an element of that set)

7. empty set only contains some, possibly all, the elements of empty set

TRUE (it contains only elements of empty set - all of them, namely none)

8. 0 is an element of empty set

FALSE (empty set is empty, so it cannot contain 0)

9. {13, 11} only contains some, but not all, the elements of {11, 12, 13}

TRUE (order is irrelevant)

10. {7, 8}  only contains some, possibly all, the elements of {8}

FALSE (7 is not an element of {8} )

When factoring a polynomial in the form ax2 + bx + c, where a, b, and c are positive real numbers, the signs in the binomials should be both positive

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The form of the polynomial is given as:

ax2 + bx + c

Where a, b, and c are positive real numbers.

Since a, b, and c are positive real numbers. then the form of the expansion would be:

ax2 + bx + c = (dx + e)(fx + g)

Take for instance, we have the following quadratic equation

x^2 + 6x +  8

Expand the equation

x^2 + 6x +  8 = x^2 + 4x + 2x +  8

Factorize the equation

x^2 + 6x +  8 = (x + 2)(x + 4)

Hence, the signs in the binomials should be both positive

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Answer:

x = 4, -2

Step-by-step explanation:

x^2-2x=8

Move the constant term to the right side of the equation.

x^2 - 2x = 8

Take half of the coefficient of x and square it.

(-2/2)^2 = 1

Add the square to both sides of the equation.

x^2 - 2x + 1 = 8 + 1

Factor the perfect square trinomial.

(x - 1)^2 = 9

Take the square root of both sides of the equation.

x-1=\(\sqrt{9}\)
x-1=±3

Isolate x to find the solutions.

Taking positive

x=3+1=4

x=4

Taking negative

x=-3+1

x=-2

The solutions are:

x = 4, -2

Answer:

\(x = -2,\;\;x=4\)

Step-by-step explanation:

To solve the quadratic equation x² - 2x = 8 by factoring, subtract 8 from both sides of the equation so that it is in the form ax² + bx + c = 0:

\(x^2-2x-8=8-8\)

\(x^2-2x-8=0\)

Find two numbers whose product is equal to the product of the coefficient of the x²-term and the constant term, and whose sum is equal to the coefficient of the x-term.

The two numbers whose product is -8 and sum is -2 are -4 and 2.

Rewrite the coefficient of the middle term as the sum of these two numbers:

\(x^2-4x+2x-8=0\)

Factor the first two terms and the last two terms separately:

\(x(x-4)+2(x-4)=0\)

Factor out the common term (x - 4):

\((x+2)(x-4)=0\)

Apply the zero-product property:

\(x+2=0 \implies x=-2\)

\(x-4=0 \implies x=4\)

Therefore, the solutions to the given quadratic equation are:

\(\boxed{x = -2,\;\;x=4}\)

Answer:

95 minutes

Step-by-step explanation:

If it takes 5 minutes to read 2 pages.

So we need to find how many 2 pages are in 38 pages

So divide 2 by 38

Which is 19

Now multiply 5 with 19 (the 5 is from the number of minutes)

Which is 95

So Sarah takes 95 minutes to read 38 pages

Hope this Helps!

Answer:

95

Step-by-step explanation:

Answer:

4,000 bacteria

Answer:

The correct answer is 5,972

Step-by-step explanation:

I got it right on the test

Certainly! The problem can be solved using the Pythagorean theorem,

which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.

The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.

By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.

Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.

We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.

Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.

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Using the combination formula, the probability that Rosa's mom chooses sausage and onion is given by:

B. \(\frac{1}{C_{8,2}}\).

The order in which the toppings are chosen is not important, hence the combination formula is used to solve this question.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

2 toppings are chosen from a set of 8, hence the number of options is given by:

\(C_{8,2}\).

Sausage and onion correspond to one topping, hence the probability is given by:

B. \(\frac{1}{C_{8,2}}\).

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Step-by-step explanation:

I hope this answer is helpful ):

Answer:

the value of q = -3

Step-by-step explanation:

The computation of the equation is shown below:

Given that

q^2 + 6q + 9 = 0

q^2 + 3q+ 3q + 9

q(q + 3) + 3(q + 3)

(q+3) (q+3)

q = -3

Hence, after solving it the value of q = -3

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

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

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.