Which of the following will result in a rational number? Select all that apply.

Which Of The Following Will Result In A Rational Number? Select All That Apply.

Answers

Answer 1

An expression is defined as a set of numbers, variables, and mathematical operations

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

A.) 7 3/4 - (√11)/5 = (155-4√11)/20

B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)

C) 7 3/4 + (√16)/5 = 166/20

D.) 7 3/4 + (√16)/5 = 31/5

The option that will result in a rational number is C and D.

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Related Questions

When a=2 and b=4, the value of the expression is

Answers

Answer:

the answer is 5

Step-by-step explanation:

if you plug in everything, then the equation is the square root of 2 to the 3rd power minus 7 plus the absolute value of 4.

So first 2 to the third power is 8

Then the absolute value of negative 4 is 4

So 8-7 is 1

The square root of 1 is 1

1 plus 4 is 5, the answer is 5

For 1-3, consider an investment of $6000
that earns 4.5% interest. Use a graphing
calculator if needed.
1. Write an equation to describe the value
V(t) of the investment at time t if the
interest is compounded daily.

Answers

Answer:

See below

Step-by-step explanation:

Period = 1 day      

Periodic interest = .045 / 365       (since there are 365 days in a year)

V(t) = 6000 *  ( 1 + .045/365)^t      where t is in days

V(t) = 6000 * (1+.045/365)^(t * 365)       where t is in years

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2?

Answers

The resulting polynomial when 5x -6 is subtracted from 3x² -6x +2 is; 3x² -11x +8.

What is the result of the polynomial subtraction?

It follows from the task content that the polynomial 5x -6 is to be subtracted from 3x² -6x +2.

Hence, the subtraction goes thus; 3x² -6x +2 -(5x-6).

Hence, 3x² -6x +2 -5x+6

= 3x² -11x +8.

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if cos^4+cos^2=1 prove that cot^4a-cot^2a=1​

Answers

Step-by-step explanation:

We can solve this kind of trigonometric problem

easily by the followings method :

Given :

cos^4a + cos^2a = 1

or, cos4^a = 1 - cos^2a

Therefore; cos^4a = sin^2a

Again,

To prove: cot^4a - cot^2a = 1

L.H.S = Cot^4a - cot^2a

= Cos^4a÷ sin^4a - Cos^2a ÷ sin^2a

= Sin^2a ÷ Sin^4a - cos^2a ÷ Sin^2a

= 1 ÷ Sin^2a - cos^2a ÷ Sin^2a

= 1 - cos^2a ÷ Sin^2a

= Sin^2a ÷ Sin^2a

= 1 = R.H.S proved.

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Complete the table by converting from a fraction, a decimal, or a percent.

Answers

The value obtained by doing the operation are ,a=0.11,b=11,c=(111/250)d=44,e=(1/8),f=(83/500),h=0.375,i=37.5%,j=(111/125),k=0.888,i=(777/1000),m=77%,n=0.2,o=20%,p=(777/1000),q=66.6%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The procedure of changing the basis of a number is known as number conversion. A binary number is made up of only two numbers: 1 and 0. A decimal number is made up of ten digits ranging from 0 to 9.

The values obtained from the table the decimal and the percentage form are solved as;

[tex]\frac{1}{9} \\\\ 0.3111 \\\\\ 0.1111 \times 100 \\\\ 11.11 \%[/tex]

The other missing values are;

a=0.11

b=11

c=(111/250)

d=44

e=(1/8)

f=(83/500)

h=0.375

i=37.5%

j=(111/125)

k=0.888

i=(777/1000)

m=77%

n=0.2

o=20%

p=(777/1000)

q=66.6%

Hence all the missing values are given above.

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Help me please asapp

Answers

ED and AC are congruent

Write Statement as:

AB*BC=EB*BD

8(4x+2)=9(4x)

32x+16=36x

16=4x

4=x

Hope it helps!

5
6
7 8
10
TIME REMAINING
27:07
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value
of the car after x years, which function represents the car's value?
f(x)=20.000(085)*

Answers

Answer:

Step-by-step explanation:

Is there answer choices?

find the surface area of the pyramid

Answers

Answer:

20ft²

Step-by-step explanation:

what is the area of the triangle formed from (0,1), (0,4), and (4,1)?

Answers

Answer:

6 square units

Step-by-step explanation:

base = 4 units

height = 3 units

 [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]

                                  [tex]\sf =\dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square units[/tex]

Given :

Height of triangle = 3 unitsBase of triangle = 4 units

To Find :

Area of triangle

Solution :

[tex]\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: Base \: × \: Height }}}}}\end{gathered}[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: Base \: × \: Height [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: 4 \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{ \cancel2} \: \times \: \cancel{4} \: ^{\green2} \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: \times \: 3[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6[/tex]

Hence , the area of triangle is 6 units.

Someone please help with this!!

Answers

Answer:

A

Step-by-step explanation:

Comment (and answer)

Both start with the plus x axis as one of the arms. The other arm of 110o goes anti clockwise until it is 30 degrees into the second quadrant.

The answer can be found by using 110 - 360 = negative angle.

So 110 - 360 = - 250 which goes clockwise from the plus x axis. The answer must be A.

Make sure you understand the concept of clockwise and anti clockwise. If you don't know, ask your teacher, write it down, and try not to forget it. The distinction comes up a lot.

it takes 3 machines 2 days to make a batch of products. How long does one machine take?

Answers

Answer:

it takes 6 days for 1 machine...

The area of a rectangular carpet is 252 square feet. The length is nine feet more than the width. Find the length and the width of the carpet.

Answers

Answer:

Length = 30 feet Width = 21 feet

Given - Length is nine feet more

Area is 252

To find - Value of length and width

Solution-

let the width of the carpet be X

therefore length = 9 + X

Area of carpet = Length * width

252 = (9+x) * X

252 = 9x + x²

Solving the equation by splitting middle term

x² + 9x - 252 = 0

x²- 21x + 12x - 252= 0

x ( x - 21) + 12( x - 21) = 0

(x -21)( x + 12) = 0

X = 21 or X = (-12)

Length = 9 + X

= 30 or (-3)

negative is not possible so

length = 30

width = 21

1/(x+2)+1/(x+3)=2/x+9

Answers

Answer:

4x82x929wjdjdejdjekke

[tex] \frac{1}{x + 2} + \frac{1}{x + 3} = \frac{2}{x + 9 } \\ \frac{(x + 3 ) + (x + 2)}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ \frac{2x + 5}{ {x}^{2} + 5x + 6 } = \frac{2}{x + 9} \\ 2( {x}^{2} + 5x + 6) = (x + 9)(2x + 5) \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 5x + 18x + 45 \\ 2 {x}^{2} + 10x + 12 = 2 {x}^{2} + 23x + 45 \\ 2 {x}^{2} - 2 {x}^{2} + 10x - 23x + 12 - 45 = 0 \\ - 13x - 33 = 0 \\ - 13x = 33 \\ x = \frac{33}{ - 13} \\ x = - 2.54[/tex]

Hope it helps

Please give brainliest

step by step please, thank you so much

Answers

The equation of the parabola will be y = x² – 6x + 9. Then the correct option is C.

The complete question is attached below.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

where a is the leading coefficient.

The vertex of the parabola is at (3, 0). Then the equation of the parabola will be

y = (x – 3)² + 0

Then open the bracket, we have

y = x² – 6x + 9

Then the correct option is C.

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On a map of scale 1:20000 the area of a forest is 50cm^2.On another map the area of the forest is 8cm^2.Find the scale of the second map.

Answers

Answer:

The answer is 1: 50000... If you look down here↓:

Step-by-step explanation:

With a scale of 1:20000, a unit length on the map represents a length of 20000. So 1 cm^2 = 1 cm* 1 cm which represents 20000*20000 cm^2 will be = 4*10^8 cm^2.

50 cm^2 represents that 4*50*10^8 cm^2 = 200* 10^8 cm^2.

Now, on the other hand, the map has the same. 200* 10^8 is represented by 8 cm^2. So the scale is sqrt [ 200* 10^8 / 8 ] = sqrt [ 25* 10^8 ] = 5* 10^4 = 50000.

Therefore the scale on the second map is 1: 50000.

Help asap

What is the end behavior of the following graph

Answers

Using limits, it is found that the end behavior of the graph is given as follows:

It rises to the left, and stays constant at y = -4 to the right.

What is the end behavior of a function f(x)?

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function is given by:

[tex]f(x) = 4\left(\frac{2}{5}\right)^{x + 3} - 4[/tex]

Hence:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{5}{2}\right)^{\infty + 3} - 4 = \infty - 4 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{2}{5}\right)^{\infty + 3} - 4 = 0 - 4 = -4[/tex]

Hence:

It rises to the left, and stays constant at y = -4 to the right.

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Dude this should be so easy but this is going in one ear and out the other how do I do this send help ​

Answers

Answer:

0.5 hours

Explanation:

Given:

speed: 17 miles/hourdistance: 8 miles

Formula:

time taken = distance ÷ speed

Solve:

time taken = 8 ÷ 17 = 0.4706 ≈ 0.5 hours  (rounded to nearest tenth)

PLEASE HELP ( look at ss to answer )

Answers

The direct proportion is shown by table (B)

What is direct proportion?

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.

Here the second table shows the direct proportion relation.

This is because the ratio of x/y remain same.

4/2= 7/3.5= 10/5= 11/5.5= 15/7.5 = 2/1

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Elias Rubio deposits three checks for $598.20, $2,274.26, and $3,248.79.
His cash consists of 75 one dollar bills, 78 five dollar bill., 83 ten-dollar
bills, 80 quarters, 32 dimes, 95 nickels, and. 5 pennies. He would like to
receive $40.00 in cash.

Answers

Based on the amount of cash that Elias Rubio brings, we can calculate that his total cash deposit is $1,323

How much did Elias deposit in cash?

This can be found as:

= (75 x 1) + (78 x 5) + (83 x 10) + (80 x 0.25) + (32 x 0.10 or 10 cents) + (95 x 0.05 or 5 cents) + (5 x 0.01 or 1 cent)

Solving gives:

= 75 + 390 + 830 + 20 + 3.20 + 4.75 + 0.05

= $1,323

Remaining part of the question:

How much did he deposit in cash?

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Ryan fills a bath with
22.6 litres of hot water
and 18.7 litres of cold.
He spills 2.5 litres
getting in.
How much water is in
the bath now?

Answers

Answer:

38.8 litres

Step-by-step explanation:

22.6 + 18.7 = 41.3

41.3 - 2.5 = 38.8

38.8 litres

Answer:

38.8 liters.

Step-by-step explanation:

Word problems with addition and subtraction:

To find the quantity of water inside the bath tub, add the quantity of hot water and cold water. Then from this subtract the water that is spilled.

Quantity of water in the bathtub = 22.6 + 18.7 - 2.5

                                                      = 41.3 - 2.5

                                                      = 38.8 liters

5-4-3-2
16
6/ +
77?1?
x
Which is the general form of the equation of the circle
shown?
Ox²+²+4x-2y-4 = 0
Ox+y+4x-2y + 2 = 0
Ox² + y² 4x +2y-4 = 0
Ox² + y² 4x + 2y + 2 = 0

Answers

Answer:

1st option

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 2, 1 ) and r = 3 , then

(x - (- 2) )² + (y - 1)² = 3² , that is

(x + 2)² + (y - 1)² = 9 ← expand factors using FOIL

x² + 4x + 4 + y² - 2y + 1 = 9

x² + 4x + y² - 2y + 5 = 9 ( subtract 9 from both sides )

x² + 4x + y² - 2y - 4 = 0 , that is

x² + y² + 4x - 2y - 4 = 0 ← in general form

Answer:

[tex]\textsf{1)} \quad x^2+y^2+4x-2y-4=0[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

(a, b) is the centerr is the radius

From inspection of the graph:

center of the circle = (-2, 1)radius of the circle = 3

Substitute the found values into the formula:

[tex]\implies (x-(-2)^2+(y-1)^2=3^2[/tex]

[tex]\implies (x+2)^2+(y-1)^2=9[/tex]

Expand and simplify:

[tex]\implies (x+2)^2+(y-1)^2=9[/tex]

[tex]\implies x^2+4x+4+y^2-2y+1=9[/tex]

[tex]\implies x^2+y^2+4x-2y+5=9[/tex]

[tex]\implies x^2+y^2+4x-2y-4=0[/tex]

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Find the gradient of the line shown.

Answers

Answer:it is o to 10/5 which is 1/

Step-by-step explanation:

C
An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the
functions over the interval 0≤x≤1?
-1
-1
2
O The exponential grows at half the rate of the quadratic.
O The exponential grows at the same rate as the quadratic.
The exponential grows at twice the rate of the quadratic

Answers

The correct answer is option b which is the exponential grows at the same rate as the quadratic.

The complete question is given below with the graph attached:-

An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval

a. The exponential grows at half the rate of the quadratic.

b.The exponential grows at the same rate as the quadratic.

c.The exponential grows at twice the rate of the quadratic.

d.The exponential grows at four times the rate of the quadratic.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.

The rate of change of a function f(x) over an interval

a ≤ x ≤ b

is given by

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval

0 ≤ x ≤ 1

is given by

[tex]\dfrac{f(1)-f(0)}{1-0}= \dfrac{2-1}{1}=1[/tex]

Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval

0 ≤ x ≤ 1

is given by

[tex]\dfrac{g(1)-g(0)}{1-0}=\dfrac{1-0}{1}=1[/tex]

Therefore, the exponential grows at the same rate as the quadratic in the interval .

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Given the function f(x) below, evaluate 3f(-2) + f(1).
if z ≤-3
3z²-2z if -3 -2√2-1
if x > 0
7x-2
f(x) = 3x² - 2x
pls help

Answers

Answer: 45

Step-by-step explanation: I used a graphing calculator and input all the equations and all the restraints, and I found that you can’t use the first equation since x has to be less than or equal to -3, and the question calls for x to be -2. So, in the second equation, there’s a point (-2, 16) and in the third equation there’s a point (1, -3). You know you have to use these two points since in the second equation, the restraint only lets you use numbers greater than -3 or less than 0, which cannot be one, and in the third equation, the restraint only lets you use numbers greater than 0, which can’t be -2. I hope that made some sense. So then, with substitution the equation would be 3(16)+(-3) which equals 45. 3(16)=48. 48-3+=45

if 13 sin θ=12 cos θ, find the value

Answers

From the given information, we have

[tex]13\sin(\theta) = 12\cos(\theta) \implies \dfrac{\sin(\theta)}{\cos(\theta)} = \dfrac{12}{13}[/tex]

In the expression of interest, divide through everything by [tex]\cos^2(\theta)[/tex] to get

[tex]\dfrac{2\sin(\theta)\cos(\theta)}{\cos^2(\theta) - \sin^2(\theta)} = \dfrac{2\frac{\sin(\theta)}{\cos(\theta)}}{1 - \frac{\sin^2(\theta)}{\cos^2(\theta)}}[/tex]

Then plugging in the given info, we get

[tex]\dfrac{2\sin(\theta)\cos(\theta)}{\cos^2(\theta) - \sin^2(\theta)} = \dfrac{2\times \frac{12}{13}}{1 - \left(\frac{12}{13}\right)^2} = \boxed{\dfrac{312}{25}}[/tex]

Evaluate the definite integral from pi/2 to put of cos theta/sqrt 1+ sin theta.​

Answers

Answer:

[tex]\textsf{B.}\quad -2(\sqrt{2}-1)[/tex]

Step-by-step explanation:

Given integral:

[tex]\displaystyle \int^{\pi}_{\frac{\pi}{2}}\dfrac{\cos \theta}{\sqrt{1+ \sin \theta}}\:\:d\theta[/tex]

Solve by using Integration by Substitution

Substitute u for one of the functions of [tex]\theta[/tex] to give a function that's easier to integrate.

[tex]\textsf{Let }u=1+\sin \theta[/tex]

Find the derivative of u and rewrite it so that [tex]d \theta[/tex] is on its own:

[tex]\implies \dfrac{du}{d \theta}=\cos \theta[/tex]

[tex]\implies d \theta=\dfrac{1}{\cos \theta}\:du[/tex]

Use the substitution to change the limits of the integral from [tex]\theta[/tex]-values to u-values:

[tex]\textsf{When }\theta=\pi \implies u=1[/tex]

[tex]\textsf{When }\theta=\dfrac{\pi}{2} \implies u=2[/tex]

Substitute everything into the original integral and solve:

[tex]\begin{aligned}\displaystyle \int^{\pi}_{\frac{\pi}{2}}\dfrac{\cos \theta}{\sqrt{1+ \sin \theta}}\:\:d\theta & =\int^{1}_2}\dfrac{\cos \theta}{\sqrt{u}}\:\cdot \dfrac{1}{\cos \theta}\:\:du\\\\& =\int^{1}_{2}\dfrac{1}{\sqrt{u}} \:\:du \\\\& =\int^{1}_{2} u^{-\frac{1}{2}}\:\:du \\\\& = \left[ 2u^{\frac{1}{2}} \right]^{1}_{2}\\\\& = \left(2(1)^{\frac{1}{2}}\right)-\left(2(2)^{\frac{1}{2}}\right)\\\\& = 2-2\sqrt{2}\\\\& = -2(\sqrt{2}-1)\end{aligned}[/tex]

Which of the following sets of data will have the smallest Standard Deviation?
1, 6, 2, 100, 4, 0, 0, 0, 0, 1
3, 33, 103, 4, 122, 1, 0, 245, 7, 99
1, 2, 3, 4, 5, 6, 7, 8, 8, 9
79, 79, 79, 79, 79, 79, 79, 79, 79, 79

Answers

Answer:

Step-by-step explanation:

The last one: 79, 79, 79, 79, 79, 79, 79, 79, 79, 79 because there isn't any difference in the numbers.

S.D.: 0

What is the completely factored form of this polynomial? 2x5 + 12x3 − 54x

Answers

Answer:

2x(x^2 - 3)(x^2 + 9)

Step-by-step explanation:

2x^5 + 12x^3 − 54x

2x(x^4 + 6x - 27)

Since -3 + 9 = 6 and -3 x 9 = -27:

2x(x^2 - 3)(x^2 + 9)

Answer:

[tex]2x(x^2-3)(x^2+9)[/tex]

Step-by-step explanation:

Given polynomial:

[tex]2x^5+12x^3-54x[/tex]

Factor out the common term [tex]2x[/tex]:

[tex]\implies 2x(x^4+6x^2-27)[/tex]

To factor the trinomial [tex]x^4+6x^2-27[/tex]:

[tex]\textsf{Let }u=x^2 \implies u^2+6u-27[/tex]

Factor the quadratic by finding two numbers that multiply to -27 and sum to 6:  9 and -3

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

[tex]\implies u^2+9u-3u-27[/tex]

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

[tex]\implies u(u+9)-3(u+9)[/tex]

Factor out the common term (u + 9):

[tex]\implies (u-3)(u+9)[/tex]

Substitute back [tex]u=x^2[/tex]:

[tex]\implies (x^2-3)(x^2+9)[/tex]

Therefore, the factored form of the given polynomial is:

[tex]\implies 2x(x^2-3)(x^2+9)[/tex]

Need help (pic included)

Answers

Answer:

(-4,-2)

x=-4

y=-2

Step-by-step explanation:

-3x-4y=20

3(x-10y=16)=3x-30y=48

The reason I multiplied 3 to the second equation is for when we add the equations together the x will cancel out.

  -3x-4y=20

+  3x-30y=48

  -34y=68

Divide -34 from both sides.

y=-2

To find x you need to plug in -2 for y into one of the equations.

x-10y=16

x-10(-2)=16

Remember a negative times a negative equals a positive.

x+20=16

Subtract 20 from both sides.

x=-4

Hope this helps!

If not, I am sorry.

The x-coordinate of the point (50, 55) is ___________.

Answers

Answer: 50

In an Ordered Pair, the first value is the x-coordinate or the abscissa and the second value is the y-coordinate or the ordinate. In the pair (50, 55), 50 is the abscissa and 55 is the ordinate.

The x-coordinate of the point (50, 55) is 50

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The distance of point (50, 55) perpendicular to y-axis

Thus, perpendicular distance = 50 units

The x-coordinate of the point (50, 55) is 50

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You are watching a television show about Navy pilots. The narrator says that when a Navy jet takes off, it accelerates because the engines are at full throttle and because there is a catapult that propels the jet forward. You begin to wonder how much force is supplied by the catapult. You look on the Web and find that the flight deck of an aircraft carrier is about 90.0 m long, that an F-14 has a mass of 24800 kg, that each of the two engines supplies 27000 lb of thrust, and that the takeoff speed of such a plane is about 158 mi/h. Estimate the average force on the jet due to the catapult. what is special education Which court would next hear the case in this scenario?A party that disagrees with the ruling of a district court andwould like to appeal.A. U.S. District CourtB. U.S. Supreme CourtC. U.S. Court of Appeals D. Trial court how many wavelengths are represented How many moles of O2 are consumed when 2.10 mol of magnesium burns? Ten-month-old Alyssa smiles at her mother and throws a sponge ball toward her. Alyssa's mother tries to catch it and smiles and laughs. Alyssa crawls closer and tries to take the ball, while giggling. This is an example of ______ socialization. Hi 4 questions, about inequalitys and y intercepts and slope. Only 4 questions :) HEEEEEEEELP MEEEEEEEEEEEEEEEEEEJohn and Patricia receive a summons to a delinquency case in which their daughter Keira is being charged with vandalism. Which of the following MUST have happened before John and Patricia received their summons?A.Keira was placed on probationB.a judges dispositionC.the filing of a petition of complaintD.Keira was given a formal indictment by a grand juryPlease select the best answer from the choices provided Cannot contribute directly to a politicians campaign What was the nickname for President Reagans plan to destroy Soviet nuclear missiles in space? The equation of a circle is (x-2)2+(y-6)2=25. What is the radius of the circle? Do you think the field ofhuman embryology couldcontribute to future medicaladvancements? Your friend Ashanti thinks it is incredible that works of art They build bridges, buildings, dams, tunnels, tanks, power plants, transmission line towers and space satellites Group of answer choices Structural Engineer Satellite Engineer Water resource Engineer Construction Engineer Select the correct answer.Which is the best example of a topic that is too broad?OA. the positive effects of teaching history to students at a young ageO B. learning history encourages a more multicultural viewpoint on the worldO C. the history of the of the English monarchyO D. the Importance of teaching history in schools The Monroe Doctrine pledged Not to interfere with what in the western hemisphere I will give brainliest From one vertex of an n-sided polygon 5 different diagonals can be drawn which one of the following pairs of numbers are the number of sides (n) and the sum of measures of all interior angles of this polygon? In addition to having less fat and fewer calories, a skim-milk latte is also a good source of _____. HURRRRYYY Hurry pleaseee use elimination show your work 15y - 9x =-9 -8y+9x=12 In 35 words or fewer, come up with one possible historical question you could ask about the on this page.