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There are no real solutions for the equation x² + 20 = 4.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

x² + 20 = 4

Subtracting 20 from each side of the equation.

x² + 20 - 20 = 4 - 20

x² = - 16

√x² = √ - 16

x = ± √-16

x = ± 4√(-1)

x = ± 4i

Since i is the complex number that is equal to √-1. Therefore, there are no real solutions to the equation.

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Answer:no real number solutions

The first term, the common difference, and the sum of the first thirty-three terms of the arithmetic sequence is 2, 1.5 and 68.5 respectively.

a + 4d = 8

a + 9d = 15.5

9d - 4d = 15.5 - 8

5d = 7.5

d = 7.5/5

d = 1.5

substitute into

a + 4d = 8

a + 4(1.5) = 8

a + 6 = 8

a = 8 - 6

a = 2

S33 = n/2 + {2a (n - 1)d}

= 33/2 + {2×2 + (33 - 1)1.5}

= 16.5 + {4 + (32)1.5}

= 16.5 + (4 + 48)

= 16.5 + 52

= 68.5

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Answer: 1/36 ==> c

Step-by-step explanation:

[tex]6 ^{-2}[/tex]=

[tex]6 ^{-1*2}[/tex]=

[tex](6^{-1}) ^{2}[/tex]=

[tex](\frac{1}{6} ) ^{2}[/tex]=

[tex]\frac{1^{2}}{6^2}[/tex]=1/36 ==> c

Answer:

Step-by-step explanation:

A

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

[tex]P(A/B)=\frac{P(A)*P(B/A)}{P(B)}[/tex]

let A be the  event that the student knows the answer .

B be  the  event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

[tex]P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}[/tex]

Probability that the answer is correct ,given that he knows the answer is

[tex]P(E/A)=1[/tex]

Probability that the answer is correct ,given that he guesses it is

[tex]P(E/B)=\frac{1}{3}[/tex]   [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability [tex]P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}[/tex]

Substituting the values we get

[tex]P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }[/tex]

[tex]=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}[/tex]

Therefore ,  the chances that the student was merely guessing is 1/3.

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The cyclist's acceleration vector is not zero.

For given question,

A cyclist goes around a level, circular track at constant speed.

We know that , acceleration is the rate at which velocity changes with time, in terms of both speed and direction.

When cyclist move around a circular track with constant speed cyclist's direction of motion changes with time.

This means, cyclist's velocity will change means cyclist's will have acceleration.

And cyclist's acceleration will not be zero.

Therefore, the cyclist's acceleration vector is not zero.

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The volume of a rectangular prism if the length is 10ft is 250ft2.

A transparent optical prism is a device intended to refract light and has flat, polished surfaces. Prisms do not have two parallel surfaces; at least one of their surfaces must be slanted. Since a triangular prism with a triangular base and rectangular sides is the traditional geometrical shape of an optical prism, this type is typically meant when the word "prism" is used in everyday speech. Certain optical prism varieties don't actually have geometric prism shapes. Any material that transmits the wavelengths for which it is intended can be used to create prisms. Glass, acrylic, and fluorite are common building blocks.

From description, l = 2h = 2w

Since it has a square base,w=h

V = lwh = 2w•w•w = 2w3

Surface area, A = 2(wl+hl+hw) = 2(2w2+2w2+w2) = 250

5w2=250/2 = 125

w2= 25

V= 2(5)3 = 2(125)= 250 ft2

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Answer:

Step-by-step explanation:

The gram and kilogram are two units used to measure mass in the metric system .

We need to find the metric unit to find mass of a book.

The resistance that a body of matter offers to a change in its speed or position upon the application of a force.

1 kilogram of a substance is equal to 1000 grams and 1 gram is equal to 0.001kg. Therefore, to convert the mass of a book weighing 12,321g into kg, we will multiply it by 0.001kg. The book's mass in kg is 12.321 kg.

Therefore mass is measured by kilogram or grams.

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Step-by-step explanation:

Because in this situation you have 2 ways to solve it

But in this case you can't so we have another solution

Subtract angel from 360 it will give you result with negative or different results

If you have angel 100

The sin maybe equal sin100 or sin 360-100

Answer:

RS (-11,23)

Step-by-step explanation:

Don't know if this will help but if your looking for an endpoint, I did -2 = x+7/2 To find X. I got -2 from the X coordinate with midpoint. To get rid of the fraction I multiplied by 2 which leads to -4=x+7 since it cancels out the denominator/bottom fraction. X should be -11. Same thing with Y coordinate. 3= y- 17/2. Should give you 6=y- 17 which then becomes Y=23.

Sorry I'm not good at explaining

The answer is C (x = 91.2)

Step-by-step explanation:

x - 15.2 = 76

x = 76 + 15.2

x = 91.2

Answer: -136 and -134

Step-by-step explanation:

Answer: 11 and 12

Step-by-step explanation:

you have to find the square root of 135. The square root of 135 is 11.6189

so the answer is between 11 and 12

Answer:

-729

Step-by-step explanation:

-9 × (-9) × (-9) =

= 81 × (-9)

= -729

Considering the absolute value function, the correct statement is given by:

|-53| = |53|.

The absolute function is defined by:

It measures the distance of a point x to the origin. For this problem, we have that:

Thus, the correct statement is given by:

|-53| = |53|.

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Answer: log3^0.1+\:2log3^x\:=\:log3^2\:+\:log3^{\:}5

Step-by-step explanation: go to symbolab.com to get the step by step explanation or to answer problems like this hope this helps.

Answer:

[tex]\frac{1}{x^{\frac{5}{3}}}[/tex]

Step-by-step explanation:

[tex]\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}[/tex]

➲ Hope this helps.

Answer:

60°

Step-by-step explanation:

since it is an equilateral triangle all sides are equal. let's make the other 2 angles k.

k+k+k=180°{sum of angles in a triangle}

3k=180°

k=60°(each of them is 60°)

Answer:

61.2

Step-by-step explanation:

1) 75:2=37.2

2) 120:5=24

3) 37.2+24=61.2

The volume of the toy box is 24 cubic feet.

Remember that for a rectangular prism of length L, width W, and height H the volume is given by the formula:

V = L*W*H

In this case, we know that:

L = 4ft

W = 3ft

H = 2ft

Replacing that in the volume formula we get.

V = 4ft*3ft*2ft = 24ft^3

The volume of the toy box is 24 cubic feet.

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Step-by-step explanation:

- 1(- 9d + 4.9)

9d -4.9 would be your answer because the negative sign outside the parenthesis equals -1. Hope that helps!!

Answer:

9d - 4.9

Step-by-step explanation:

- ( - 9d + 4.9) ← multiply each term in the parenthesis by - 1

= 9d - 4.9

Answer:

23.3cm

Step by step:

Tri;APQ~Tri;ABC(A.A.A)

AP/AB=AQ/AC=PQ/BC

AP/AP+BP=AQ/AQ+QC

3/3+AQ=AQ/AQ+49/3

3AQ+49=3AQ+AQ^2

AQ^2=49

AQ=7

#AC=AQ+QC

=7+(49/3)

=23.333

(Thu Zar You should give me brainlist)

The algebraic expression for the area of desert in Africa is 5 x

Algebraic expressions are expressions that are comprised of variables, terms, factors, coefficients, and constants.

They are also made up of mathematical operations such as addition, subtraction, multiplication, division, etc.

From the information given, we have;

This can be expressed as;

Area of desert in Africa = 5 x

Thus, the algebraic expression for the area of desert in Africa is 5 x

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Answer:

Mean = 260.45

Median = 284

Mode = 287, 285  (there are 2 modes)

Since it is a championship sports team , it is likely that this data is representative of all players in that league

Step-by-step explanation:

Mean = Sum of the weights/11 = 2865/11 = 260.45

Median is the middle of the data set when the data values are arranged in ascending order

In ascending order: 206, 216, 217, 235, 273, 284, 285, 285, 287, 287, 290

Mode is the value that occurs the maximum number of times in a data set

Here there are 2 modes 285 and 287 both of which occur twice

Answer:

answer is 4!

Step-by-step explanation:

Answer:

50 divided by 5 is 10

Step-by-step explanation:

Answer:

x/5

Step-by-step explanation:

Hey there!

48 + 60 = 108

The DISTRIBUTIVE formula:

12(4 + 5)

= 12(4) + 12(5)

= 48 + 60

= 108

OR EVEN

12(4 + 5)

= 12(9)

= 108

Therefore, your answer should be:

12(4 + 5)

Goof luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: -m*(x-3y)*(3x-y)

(*=multiply btw)

Step-by-step explanation:

STEP 1:

Equation at the end of step 1

 (m • ((x + y)2)) -  4m • (x - y)2

STEP2:

Equation at the end of step 2

 m • (x + y)2 -  4m • (x - y)2

STEP3:

3.1     Evaluate :  (x+y)2   =    x2+2xy+y2

3.2     Evaluate :  (x-y)2   =    x2-2xy+y2

STEP4:

Pulling out like terms

4.1     Pull out like factors :

  -3mx2 + 10mxy - 3my2  =   -m • (3x2 - 10xy + 3y2)

Trying to factor a multi variable polynomial :

4.2    Factoring    3x2 - 10xy + 3y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (x - 3y)•(3x - y)

Answer:

Slope=1.000/2.000=0.500

b-i

q-i

b-(2*q+6)=0

Step-by-step explanation:

1.1     Solve   b-2q-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  b-2q-6  = 0 and calculate its properties

Notice that when b = 0 the value of q is 3/-1 so this line "cuts" the q axis at q=-3.00000

 q-intercept = 6/-2 = 3/-1  = -3.00000

When q = 0 the value of b is 6/1 Our line therefore "cuts" the b axis at b= 6.00000

 b-intercept = 6/1  =  6.00000

Slope is defined as the change in q divided by the change in b. We note that for b=0, the value of q is -3.000 and for b=2.000, the value of q is -2.000. So, for a change of 2.000 in b (The change in b is sometimes referred to as "RUN") we get a change of -2.000 - (-3.000) = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

 Slope = 1.000/2.000 = 0.500

 b-intercept = 6/1 = 6.00000

 q-intercept = 6/-2 = 3/-1 = -3.00000

Answer:

b

Step-by-step explanation: