find whether the given numbers are perfect square or not {step by step}
a.1057
b.23453
c.2304
d.1057

Answers

Answer 1

Answer:

a. 1057 is not a perfect square

b. 23453 is not a perfect square

c. 2304 is a perfect square

d. 1057 is not a perfect square

Step-by-step explanation:

A perfect square is a number x where the square root of x is a number a such that a² = x and a is an integer. For example, 4, 9 and 16 are perfect squares since their square roots, 2, 3 and 4, respectively, are integers.


Related Questions

What’s the answer to this

Answers

Answer:

C is the correct answer. F(x) = -[tex]x^{3}[/tex]

You have an ice cream scoop with a 2-inch diameter. You have an ice cream cone with a 2-inch diameter and a height of 5 inches. If you place one scoop of ice cream on the cone and let the ice cream melt, will it spill over the cone?

Answers

Answer:

No, because the volume of the cone is greater than the volume of the ice cream scoop.

Step-by-step explanation:

To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.

The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:

V = (4/3) * pi * r^3

V = (4/3) * pi * 1^3

V = 4.1888 in3

Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):

V = (1/3) * pi * r^2 * h

V = (1/3) * pi * 1^2 * 5

V = 5.236 in3

As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.

HELP ME ASAP

Find the surface area. Use 3.14 for pie

Answers

Answer:

The surface area is 1,580.99 in²

Step-by-step explanation:

Known :

Diameter (d) = 19 in

Height (h) = 17 in

Asked :

Surface Area (Sa) = ...?

Answer :

Radius (r) = ½ d = ½ × 19 = [tex] \frac{19}{2} [/tex] = 9,5 cm

Tube Surface Area Formula :

= [tex] \boxed{\bold{\pi d (r + h)}} [/tex]

= 3.14 × 19 × (9,5 + 17)

= 59.66 × 26.5

= 1,580.99 in²

So, the surface area is 1,580.99 in²

#CMIIW ^^

Which of the following statements is equivalent to P(z < −2.1)? P(z > –2.1) 1–P(z < 2.1) P(z < 2.1) 1–P(z > 2.1)

Answers

Answer:

It's b

Step-by-step explanation:

Just answered it

The given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1). Option B is correct.

What is the Z -a score?

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

here, z = x - μ / σ

where, μ = mean and σ = standard deviation

Here,
P(z < −2.1)
By the property of the Z score,

P(z < −2.1) = 1 – P(z < 2.1)

Thus, the given statement  P(z < −2.1)  is equivalent to the expression 1 – P(z < 2.1).

Learn more about the z-score here:

brainly.com/question/13793746

#SPJ2

whats a interger with your words

Answers

Answer:The first graders began to count, naming each integer up to 100.

Step-by-step explanation:

Answer:

one of the positive or negative numbers 1, 2, 3, etc., or zero.Compare whole number.

Step-by-step explanation:

The lowest common multiple of 10, 15 and p is 150. Find the two possible values of p which are odd numbers.

Answers

Answer:

p = 3, p = 5

Step-by-step explanation:

Express 150 as a product of prime factors, that is

150 = 2 × 3 × 5 × 5

Thus 2 odd factors of 150 are 3 and 5

The possible values of p are 3 and 5

2x + y = 12
x = 9 - 2y
x + 2y = 9
2x + 4y = 20
x + 3y = 16
2x - y = 11
y = 11 - 2x
4x - 3y = -13
y = 10 + x
-3x + 3y = 30
2x + y = 11
x-2y=-7
x = 2, y = 7
x = 5, y = 2
>
x= 3, y=5
x = 7, y=3

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

i need a queastion to answer this..

Step-by-step explanation:

To make the Ice cream I need 600ml of heavy wiping cream and 200g of Sweet Condensed Milk. If I only have 473ml of cream and I have the right amount of Condensed milk how much do I need to reduce the Condensed milk for it to match the recipe with reduced amounts?​

Answers

Answer:

157.6 ml of sweet condensed milk

Step-by-step explanation:

The ratio of heavy whipping cream to sweet condensed milk is a 3:1 ratio

1. Give an example of Similarity in your everyday life

Answers

Answer:

a similartity is we both are questioners

Step-by-step explanation:

Help!
Always, sometimes or never

The Capacity of a container will ALWAYS be less than the containers Volume

Answers

Answer:

The correct option is Sometimes.

Step-by-step explanation:

Volume refers to the amount of three-D space that a liquid, a solid or a gas, occupies. Some of the most commonly used units of volume are cubic meters, liters, millilitres and cubic centimetres.

Whereas, capacity refers to the capability to hold or absorb something. It is similar in theory to volume, but there are little dissimilarities.  

Consider the example below:

The nitrogen gas cistern has a capacity of 12 gallons. The gas in the experiment expanded to three times its original volume.

So, the capacity of a container can be or cannot be less than the volume.

Thus, the correct option is Sometimes.

Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63. The total possible marks for the test was 75. Which system of equations represents the situation?

Answers

Answer:

0.80A + 0.92B = 63 .....1

A + B = 75 ......2

Step-by-step explanation:

Let A and B represent the total possible score in part A and B respectively;

Analysing each sentence of the question;

Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63

80% of A + 92% of B = 63

0.80A + 0.92B = 63 ......1

The total possible marks for the test was 75;

A + B = 75 .....2

So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.

Solving the simultaneous equations, we will arrive at;

Part A = 50

Part B = 25

Please help please

-2x - x + 8 = ?

Answers

Answer:

-3x + 8

Step-by-step explanation:

Simplify. combine like terms (terms with the same amount of variables).

Subtract -2x and x: -2x - x = -3x

-3x + 8 is your answer.

~

What is the answer for (5p2 - 3p + 4) - (2p2 - 9p + 8) ?

Answers

Answer:

3(p+1)²-7

Step-by-step explanation:

(5p² - 3p + 4) - (2p² - 9p + 8) =3p²-12p-4=3(p+1)²-7

Answer:

[tex]3p^2+6p-4[/tex]

Step-by-step explanation:

[tex](5p^2-3p+4)-(2p^2-9p+8)[/tex]

Now, combine like terms.

[tex](5p^2-2p^2)+(-3p+9p)+(4-8)[/tex]

[tex]3p^2+6p-4[/tex]


How do you Graph the function f(x) = -3(2)x on the axes

Answers

........ ....... idk

Answer:

Using a Graphing Calculator like Desmos, we can figure this out.

Here is what is should look like:

HELPPP ASAP
which point represents the ordered pair ​

Answers

Answer:

point S

Step-by-step explanation:

mooo! hope this helps

find the volume of a regular hexagonal prism with the height of 22 apothem of 16 and a side length of 8

8778 cubic units
8558 cubic units
8448 cubic units
8668 cubic units

Answers

Answer:

[tex]V=8,448u^3[/tex]

Step-by-step explanation:

The volume of a prism is given by:

[tex]V=A_{b}*h[/tex]

where [tex]A_{b}[/tex] is the area of the base, and [tex]h[/tex]  is the height of thr prism.

We know that the height is:

[tex]h=22[/tex]u

and the bases of this prism are hexagons.

Thus the area of the base is the area of a regular hexagon:

[tex]A_{b}=\frac{n*l*a}{2}[/tex]

where [tex]n[/tex] is the number of sides: for an hexagon: [tex]n=6[/tex]

[tex]l[/tex] is the length of each side: [tex]l=8[/tex]u,

and [tex]a[/tex] is the apothem: [tex]a=16u[/tex]

we substitute all of this to find the area of the base:

[tex]A_{b}=\frac{6*8u*16u}{2}\\ \\A_{b}=\frac{768u^2}{2}\\ \\A_{b}=384u^2[/tex]

and finally we use the formula for the volume:

[tex]V=A_{b}*h[/tex]

we get the following:

[tex]V=384u^2*22u\\V=8,448u^3[/tex]

which is the third option

Se tiene un lote baldío de forma triangular bardeado. La barda de enfrente tiene una medida de 4 m,las otras dos bardas no es posible medirlas directamente pues hay mucha basura. Sin embargo,se sabe que el ángulo que está frente a la barda frontal mide 34° y otro de sus ángulos mide 64°. Se quiere calcular la medida de la barda que está enfrente del ángulo de 64°. Explica por qué no es posible resolver el problema aplicando sólo las razones trigonométricas o el teorema de Pitágoras

Answers

Answer:

a) La medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m. b) El triángulo en cuestión no es un triángulo rectángulo, es decir, ninguno de sus ángulos internos es recto (90 grados sexagesimales). En estos casos, no se puede aplicar el Teorema de Pitágoras o la simple utilización de las razones trigonométricas; se aplican, en cambio, leyes para la resolución de triángulos oblicuángulos (o triángulos no rectángulos).

Step-by-step explanation:

Este problema no se puede resolver "aplicando sólo las razones trigonométricas o el teorema de Pitágoras" porque es sólo aplicable a triángulos rectos, es decir, uno de los ángulos del triángulo es recto o igual a 90 grados sexagesimales. Los dos restantes triángulos suman 90 grados sexagesimales, o se dice, son complementarios.

La resolución de triángulos que no son rectos (conocida en algunos textos como solución de problemas de triángulos oblicuángulos) pueden resolverse usando, la ley de los senos (o teorema del seno), ley de los cosenos y la ley de las tangentes. El caso propuesto en la pregunta se ajusta a la ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)} = \frac{c}{\sin(\gamma)}[/tex]

Es decir, la razón entre el lado de un triángulo y el seno del ángulo que tiene frente a él es igual para todos los lados y ángulos del triángulo.

El triángulo de la pregunta no tiene un ángulo recto

La suma de los ángulos internos de un triángulo es de 180 grados sexagesimales:

[tex] \\ \alpha + \beta + \gamma = 180^{\circ}[/tex]

En la pregunta tenemos que la suma de los dos ángulos propuestos es:

[tex] \\ 34^{\circ} + 64^{\circ} + \gamma = 180^{\circ}[/tex]

[tex] \\ 98^{\circ} + \gamma = 180^{\circ}[/tex]

Restando 98 grados sexagesimales a cada lado de la igualdad:

[tex] \\ 98^{\circ} - 98^{\circ} + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ 0 + \gamma = 180^{\circ} - 98^{\circ}[/tex]

[tex] \\ \gamma = 82^{\circ}[/tex]

Con lo que se deduce que no hay ningún ángulo recto en el triángulo propuesto y no se podría usar el Teorema de Pitágoras o simples razones trigonométricas para resolverlo.

Resolución del lado del triángulo

De la pregunta tenemos:

La barda de enfrente tiene una medida de 4m. El ángulo que está enfrente de esta barda (barda frontal) es de 34°. No se sabe el valor del lado que está enfrente del ángulo de 64°, pero se puede calcular usando la Ley de los senos.

Digamos que:

[tex] \\ a = 4m, \alpha = 34^{\circ}[/tex]

[tex] \\ b = x, \beta = 64^{\circ}[/tex]

Entonces, aplicando la Ley de los senos:

[tex] \\ \frac{a}{\sin(\alpha)} = \frac{b}{\sin(\beta)}[/tex]

Multiplicando a cada lado de la igualdad por [tex] \\ \sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = \frac{b}{\sin(\beta)}*\sin(\beta)[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*\frac{\sin(\beta)}{\sin(\beta)}[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b*1[/tex]

[tex] \\ \frac{a}{\sin(\alpha)}*\sin(\beta) = b[/tex]

Sustituyendo cada valor en la expresión anterior:

[tex] \\ b = \frac{a}{\sin(\alpha)}*\sin(\beta)[/tex]

[tex] \\ b = \frac{4m}{\sin(34^{\circ})}*\sin(64^{\circ})[/tex]

[tex] \\ b = 4m*\frac{0.8988}{0.5592}[/tex]

[tex] \\ b = 6.4292m[/tex]

En palabras, la medida de la barda que está enfrente del ángulo 64° es de, aproximadamente, 6.4292m.

El lado c puede obtenerse de manera similar considerando que [tex] \\ \gamma = 82^{\circ}[/tex].

Which of the following represents the factorization of the trinomial below?
-2x3-14x2 - 12x
A. -2(x2 + 1)(x+6)
B. -202 + 1)(x-6)
C. -2x(x + 1)(x+6)
a
D. -2x(x + 1)(x-6)

Answers

Answer:

-2(x + 1)(x + 6)  

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  -2x^3-14x^2 - 12x

Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.  

This quotient is also easily factored:

-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6)  =  -2(x + 1)(x + 6)  

Which expression is equivalent to 6 (a-3)?

Answers

Answer:

6a-18

Step-by-step explanation:

multiply by 6

6a-(6×3)

6a-18

=6a-18

Anna wants to celebrate her birthday by eating pizza with her friends. For \$42.50$42.50dollar sign, 42, point, 50 total, they can buy ppp boxes of pizza. Each box of pizza costs \$8.50$8.50dollar sign, 8, point, 50. Select the equation that matches this situation.

Answers

Answer:

42.50 = 8.50p

Solution of the equation : p = 5

The can buy 5 pizza.

Step-by-step explanation:

Given;

Total cost allocated for buying pizza C = $42.50

Cost of one pizza c = $8.50

Number of pizza they can buy = p

This can be expressed in an equation as;

Total cost = cost per pizza × number of pizza

C = pc

Substituting the values of C and c;

42.50 = 8.50p

We can solve the derived equation for p;

p = 42.50/8.50

p = 5

Please help me in this question.I need it right now!!!

Answers

Answer:

X=102 y=288 =390

Step-by-step explanation:

X=50+32=82=180-82=102

Y= 50+32=82=360-82=288

Total answer is =390

Solve the equation 3x + 2 = 4x + 5 using algebra tiles. Which tiles need to be added to both sides to remove the smaller coefficient? 3 positive x-tiles3 negative x-tiles 4 positive x-tiles 4 negative x-tiles Which tiles need to be added to both sides to remove the constant from the right side of the equation? 2 positive unit tiles 2 negative unit tiles 5 positive unit tiles 5 negative unit tiles What is the solution? x = –3x = –1x = 3x = 7

Answers

Answer:

Step-by-step explanation:

Given the expression

3x + 2 = 4x + 5

1. The smaller coefficient of x is 3

to remove the smaller coefficient

we need to add - 3x to both sides

3x +2 + (-3x) = 4x +5 (-3x)

3x + 2 - 3x = 4x + 5 - 3x

Collecting like terms we have

3x-3x+2= 4x-3x+5

2 = x+ 5

2. The constant on the right side is

5,to remove the constant from the right side of the equation we need to add - 5 to both sides

3x + 2+ (- 5) = 4x + 5 +(-5)

3x+ 2-5 =4x +5-5

3x-3 = 4x

can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don't know tax and tip. plz help. out of the goodness of yalls hearts

Answers

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

[tex]\frac{8}{100}=0.08[/tex] 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

[tex]0.08(8.45)[/tex] 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

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

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

[tex]\frac{15}{100}=0.15[/tex]

and multiply it by the original bill.

[tex]0.15(8.45)=1.2675[/tex]. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

[tex]8.45+1.27=9.72[/tex]

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

[tex]\frac{15}{100}=0.15[/tex]

Multiply by the new bill (because this is the one that includes tax)

[tex]0.15(9.13)=1.3695[/tex] Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

Sarah picks two hats at random from 5 bill caps and 3 beanies. What is the probability she picks a BILL cap, DOES NOT REPLACE IT, then chooses ANOTHER BILL cap?

Answers

Answer:

The probability is 5/14

Step-by-step explanation:

Here, we are to calculate/estimate a probability

Firstly , we need to know the total number of caps

we have 5 bill caps and 3 beanies.

Total number of caps = 5 + 3 = 8 caps

The probability of picking the first bill cap is 5/8

Now after removing this and not replacing, we have 4 bill caps left and 3 beanies

Total cap remaining is 7 caps while the probability of picking a bill cap now is 4/7

The combined probability is thus 5/8 * 4/7 = 5/14

Which statements describe analogous structures? Check all that apply.

Analogous structures indicate a common ancestor.
Analogous structures do not indicate a common ancestor.
Analogous structures have the same structure, but may have a different function.
Analogous structures have the same function but a different structure.
An example of an analogous structure is the wing of a bat and a butterfly.
An example of an analogous structure is the forelimb of a human, a dog, and a whale.

Answers

Answer:

2 4 and 5

Step-by-step explanation:

took it and got it right

Answer:

The Answers Are 2, 4, and 5

Step-by-step explanation:

Which statements describe analogous structures? Check all that apply.  

Analogous structures indicate a common ancestor.

Analogous structures do not indicate a common ancestor.

Analogous structures have the same structure, but may have a different function.

Analogous structures have the same function but a different structure.

An example of an analogous structure is the wing of a bat and a butterfly.

An example of an analogous structure is the forelimb of a human, a dog, and a whale.

Angles ABC and ADF are alternate interior angles. The measure of angle ABC is equal to (8x+4)° and the measure of angle ADF is equal to(10x-20)°. Determine the measure of each of the angles.

Answers

Answer:

∠ABC = 100°

∠ADF = 100°

Step-by-step explanation:

(8x + 4)° = (10x - 20)°

(2x)° = 24°

x = 12°

Compute, knowing that x = 12°

8x + 4 = 8 · 12 + 4 = 100°

10x - 20 = 10 · 12 - 20 = 100°

How do you find compound probability

Answers

Answer:

Compound probability is equal to the probability of the first event multiplied by the probability of the second event.

Step-by-step explanation:

Quando colocamos roupas molhadas no varal em dias quentes percebemos que as roupas depois de um tempo ficam secas. Qual o estado físico que se encontra nas roupas molhadas? e nas roupas secas?

Answers

Answer:

Liquid water to vapor water

Step-by-step explanation:

This problem is about our wet clothe, when we put it under the Sun to dry.

Notice that the clothe is wet at the beginning, but after a certain time, it gets dry. This phenomenon is beacuse the change of the state of the water inside the clothe.

You see, at the beginning, the water is in liquid state making the wet effect, then that water transforms into vapor, makign the dry effect.

Therefore, the answer is "liquid water to vapor water", that's the change.

The perimeter of the patio shown below is 120 feet. Develop a formula to find y in terms of x. Explain your work.

Answers

Answer:

Perimeter of the given patio is [tex](\pi+6)y + 10x +8[/tex].

Step-by-step explanation:

Let us first label the given patio using the points A, B, C, D, E and F as shown the attachment diagram.

Perimeter of given figure can be found by the following:  

Perimeter of polygon ABPCDEQF + Perimeter of semi-circle with diameter as EF.  

Let us mark points P and Q on sides AB and FA respectively.  

These points P and Q are just opposite to point D. Please refer to attached diagram for details.

As this figure has symmetry so, sides  

[tex]side\ AP =side\ FE\ i.e\ 2y\\side\ AQ =side\ BC\ i.e.\ 2y\\side\ PB =side\ CD\ i.e.\ 3x+5\\side\ QF =side\ DE\ i.e.\ 2x-1[/tex]

Perimeter of polygon APBCDEQF = AP + PB + BC + CD + DE + FQ + QA (Side EF is not on the periphery so it is excluded)

[tex]\Rightarrow 2y + (3x+5) + 2y + (3x+5) + (2x - 1) + (2x-1) + 2y\\\Rightarrow 6y + 10x + 8 ...... (1)[/tex]

Perimeter of semicircle = [tex]\pi \times radius[/tex]

Radius of semicircle is y.  

[tex]\text{Perimeter of semicircle = }\pi \times y ...... (2)[/tex]

Adding equations (1) and (2):  

[tex]\text{Total perimeter = }6y + 10x + 8 + \pi y \\\Rightarrow (\pi+6)y + 10x + 8[/tex]

Perimeter of the given figure is [tex](\pi+6)y + 10x +8[/tex]

Please help it’s multiple choice.

Answers

Answer:

I would like to help you, but I don't see the picture... I will help you the best that I can.

Step-by-step explanation:

1. Addition all the B's fractions on the diagram,

2. Put the result in decimal number,

3. Addition all the fractions on the diagram,

4. Put the result in decimal number,

5. Put the result of B on the other result to obtain a new fraction,

6. Divided the result to obtain the lowest fraction possible,

7. Here is your answer!

I can't guarantee you that it's the good answer, but it's the best that I can do.

Other Questions
In a certain Algebra 2 class of 23 students, 11 of them play basketball and 13 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball? To find major themes in The Land, the reader should look for ideas thatAbeare less important to the overall plot.are connected to overall events in the plot.present and develop the main characters.show the time period and social environment. It is only likely for a guest to receive outstanding service at luxury brands. That's why Ritz-Carlton, Mandarin Oriental, Four Seasons, and others are the best at what they do. Five 12s is equal to how many 48s? PLSSS HELP ME PLS GET THE RIGHT ANSWER Which conditions are essential for the formation of hydric soils? A. Hi concentration of CO2B. Hi concentration of sedimentsC. Low oxygen levelsD. Warm climates Amys white cat had kittens. The father of the kittens was MOST LIKELY A)curious B)large C)orange D)white PLZ HELP!!! WILL GIVE BRAINLIEST!!!What social, political, and economic changes resulted from the civil war? 18. How were old jawbones repurposed? they turned indo Consider these elements of the two stories in The People Could Fly.How are these elements of the two tales similar?They are crafty characters who distract the heroes from their quests.They are magical characters who aid the heroes on their quests.They are lesser beings seeking aid from the heroes.They are evildoers who seek to destroy the heroes. Tina loves to read. Before breakfast, she read 21/2 pages, at lunch she read 315 pages, and after dinner she read 113 pages. How much did Tina read in total? One of the solutions to x^2 2x 15 = 0 is x = -3. What is the other solution?x = -5x = -1x = 1x = 5 a bag is filled with 4 red marbles, 3 blue marbles,3 yellow marbles, and 2 green marbles. you randomly choose one marble from the bag. (a) find the number of ways the event can occur. (b) find the favorable outcomes of the event which other phrase from the text helps show that the proctor disapproves of ulysses A point is selected at random inside the given figure. What is the probability the point will be in the region labeled B? Enter your answer, as a fraction in simplest form, in the box. The figure is a rectangle that is made up of three rectangles and one square. The rectangles are labeled A, B, and D, and the square is labeled C. Rectangle A is in the upper left portion of the large rectangle. The left side of rectangle A is labeled 5 inches and it is part of the left side of the large rectangle. Rectangle B is in the lower left portion of the large rectangle below rectangle A. The lower side of rectangle B is labeled 3 inches and makes up a part of the lower side of the large rectangle. Rectangle D makes up the right side of the large rectangle and is to the right of rectangle A. The upper side of rectangle D is labeled 3 inches and makes up a part of the upper side of the large rectangle. The right side of rectangle D makes up the entire right side of the large rectangle. Square C lies below rectangle A and between rectangles B and D. The lower side of square C is labeled 4 inches and makes up part of the lower side of the big rectangle. The right side of square C is also labeled 4 inches. Johnson enacted domestic policies that encouraged education mostlikely because of his previous profession. What job did LBJ hold priorto entering politics?Select one:odoctorlawyerhouse husbandteacher The function F(c)=log0.5x is decreasing true or false A(n) blank clause should always be separated from the rest of the sentence by commas. Consider the following relational schema, where the primary keys are Bold, Students(sid, sname, address, dept_id) Courses(cid, cname, dept_id) Departments(dept_id, dname, college) Grades(sid, cid, year, semester, grade) Write the following queries in SQL. Only use the tables that are absolutely needed for the corresponding query. 1. Find the sids and snames of students who took "Database" course (i.e., cname = Database) in Fall 2019. 2. Find the average grade of all the students who took "CS327" (i.e., cid=CS327) in Fall 2019. You can assume grade is a numerical attribute. 3. Find the number of distinct courses offered by each department in Fall 2019. 4. Find the sids of students who have taken at least 10 different courses offered by "Computer Science" department (i.e., dname = Computer Science). what is the volume of the cylinder