Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality.
_____<√32<_____

Without Using A Calculator, Fill In The Blanks With Two Consecutive Integers To Complete The Following

Answers

Answer 1

Answer:

5 < √32 < 6.

Step-by-step explanation:

√25 = 5 and √36 = 6 so

5 < √32 <  6.


Related Questions

Which relation is a function?
A. {(2, 3), (1, 5), (2, 7)}
B. {(-1,5), (-2, 6), (-3, 7)}
OC. {(11, 9), (11, 5), (9,3)}
D. {(3, 8), (0, 3), (3,-2)}

Answers

Answer:

B is a function.

Step-by-step explanation:

A relation that is a set of points is a function if all the x's are different.  Each ordered pair in the set (excluding the duplicates if any) all have to have a distinct x.

For example if someone ask you if this is a function they are trying to trick you:

{(4,5),(1,3),(4,5)}.

They are trying to trick you because they listed the element (4,5) twice.

The set is really {(4,5),(1,3)}.

This would be a function because all the x's are distinct, ex 4 is different than 1.

Let's look at your choices:

A This is not a function because you have two pairs with the same x-coordinate.

B This is a function.  There are no repeats of any x,

C This is not a function because you have 11 as x twice.

D This is not a function because x=3 happens twice.

If the same x happens more than once than it isn't a function.  

Answer:

b

Step-by-step explanation:

took test

A photo studio that takes school pictures offers several different packages. Let w equal the cost of a wallet-sized portrait, and let
I equal the cost of an 8 x 10 portrait
Basic Package: 30 wallet sized photos, 1 8" x 10" portrait $17.65
Deluxe Package: 20 wallets-sized photos. 3 8" x 10" portraits $25.65

Answers

Final answer:

To solve this problem, we need to find the values of w and I. We can set up a system of equations based on the given information and solve for w and I.

Explanation:

The subject of this question is Mathematics and the grade level is Middle School. To solve this problem, we are given the cost of a wallet-sized portrait (w) and the cost of an 8" x 10" portrait (I). We are also given the prices for two different packages.

The Basic Package includes 30 wallet-sized photos and 1 8" x 10" portrait. The cost of the package is $17.65.

The Deluxe Package includes 20 wallet-sized photos and 3 8" x 10" portraits. The cost of the package is $25.65.

To find the value of w and I, we can set up a system of equations based on the given information:

1. 30w + I = 17.65

2. 20w + 3I = 25.65

By solving this system of equations, we can find the values of w and I.

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Final answer:

The variables w and I represent the cost of wallet-sized and 8 x 10 portraits. The basic and deluxe packages are defined, including the quantities and costs of photos.

Explanation:

The subject of this question is Mathematics. It involves the cost of different portrait packages offered by a photo studio.

The question asks for the definitions of variables w and I, which represent the cost of wallet-sized and 8 x 10 portraits, respectively.

Mathematically, the basic package includes 30 wallet-sized photos and 1 8 x 10 portrait for a cost of $17.65.

The deluxe package includes 20 wallet-sized photos and 3 8 x 10 portraits for a cost of $25.65.

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What properties does a square have in common with a quadrilateral?
Check all that are true.

Both shapes always have opposite sides that are parallel.

Both shapes are closed plane figures.

Both figures always have four sides.

Both figures always have right angles.

All sides are the same length in both figures.

Answers

B and C are the only correct answers
Final answer:

A square and quadrilateral share the properties of having parallel opposite sides, being closed plane figures and having four sides. Not all quadrilaterals have right angles and equal side lengths like squares.

Explanation:

A square and a quadrilateral share several properties due to the fact that a square is a specific type of quadrilateral. The following statements are true: Both shapes always have opposite sides that are parallel, Both shapes are closed plane figures, and Both figures always have four sides. Not all quadrilaterals have right angles or equal length sides, so those properties are unique to squares and not shared with all quadrilaterals.

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The radius of the sphere is 10 units. What is the approximate volume of the sphere? Use and round to the nearest whole cubic unit. 42 cubic units 126 cubic units 4187 cubic units 73,385 cubic units

Answers

Answer:

The approximate volume of the sphere= 4187  cubic units

Step-by-step explanation:

Points to remember

Volume of sphere = (4/3)πr³

Where 'r' radius of sphere

To find the volume of sphere

It is given that the radius of the sphere is 10 units. ,

Here radius r = 10 units

Volume =  (4/3)πr³

 =  (4/3) * 3.14 * 10³

 =  (4/3) * 3140

 =  4186.666 ≈  4187  cubic units

Answer:

Option C.

Step-by-step explanation:

Radius of the sphere is given as 10 units.

We have to calculate the volume of this sphere.

Since formula to measure the volume of sphere is V = [tex]\frac{4}{3}\pi r^{3}[/tex]

V =  [tex]\frac{4}{3}\pi 10^{3}[/tex]

  =  [tex]\frac{4}{3}(3.14)(10^{3})[/tex]

  = 4186.67

  ≈ 4187 cubic units.

Option C. is the answer.

what is 12/6 multiple 2/3

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Simplify your first fraction.

[tex]\frac{12}{6} =2[/tex]

Solve by multiplying your numerators against each other and your denominators against each other.

[tex]\frac{2}{1} *\frac{2}{3} =\frac{4}{3}[/tex]

Answer: 4/3

Step-by-step explanation: You can start off by simplifying 12/6 to 2/1. Then, you can multiply.

2/1 x 2/3 = 4/3

Multiply the numerators. 2x2=4.

Multiply the denominators. 1x3=3

Write a general formula to describe the variation: x varies jointly with the inverse of r and the inverse of the square of the sum of y and z

Answers

[tex]\bf \qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{"x" varies with}}{x}~~=~~k\stackrel{\textit{inverse of "r"}}{\cfrac{1}{r}}\cdot \stackrel{\stackrel{\textit{inverse of}~\hfill }{\textit{square of a sum}}}{\cfrac{1}{(y+z)^2}}~\hfill x=\cfrac{k}{r(y+z)^2}[/tex]

The variation: x varies jointly with the inverse of r and the inverse of the square of the sum of y and z is,  [tex]x = \frac{1}{r + y^{2} + z^{2} }[/tex]

What is an Equation ?

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

the variation,

x varies jointly with the inverse of r

And the inverse of the square of the sum of y and z

[tex]x = \frac{1}{r + y^{2} + z^{2} }[/tex]

Therefore, the general formula  [tex]x = \frac{1}{r + y^{2} + z^{2} }[/tex]

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Look at the long division problem shown on the
right Complete the division to determine what the
remainder will be.
What is the remainder?

Answers

Answer:

c=2

The remainder is 7.

Step-by-step explanation:

They want you to subtract those last two lines:

[tex]0x^4+0x^3-5x^2-18x[/tex]

[tex]-(0x^4+0x^3-5x^2-20x)[/tex]

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

[tex]0x^4+0x^3+0x^2+2x[/tex].

2x comes from doing -18-(-20) or -18+20.

Then you bring down the +15 so you have 2x+15 below that last bar in the picture.

Anyways, you then need to find how many times x goes into 2x or what times x gives you 2x?

Hopefully you say 2 here and put that as c.

Now anything you put above the bar has to be multiplied to your divisor so 2(x+4)=2x+8.

We want to see what's left over from subtract (2x+15) and (2x+8). That gives you a remainder of 15-8=7.

Here are my steps for this division:

           4x^3+2x^2-5x+2

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

 x+4| 4x^4+18x^3+3x^2-18x+15

       -(4x^4+16x^3)

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

                    2x^3+3x^2-18x+15

                  -(2x^3+8x^2)

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

                              -5x^2-18x+15

                           -( -5x^2-20x)

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

                                        2x+15

                                     -(  2x+8)

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

                                                7

c=2

The remainder is 7.

Answer:

Step-by-step explanation:

To the nearest hundredth, what is the circumference of a circle with a radius
of 5 units?

A. 27.63 units

B. 15.70 units

c. 78.54 units

D. 31.42 units

Answers

Answer:

D. 31.42

Step-by-step explanation:

you can look up a calculator and it gives you the answer!

The circumference of a circle with a radius of 5 units is,

⇒ Circumference = 31.4 units

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The radius of circle = 5 units

Now,

Circumference = 2πr

Here, r = 5

⇒ Circumference = 2 × 3.14 × 5

⇒ Circumference = 31.4 units

Thus, The circumference of a circle with a radius of 5 units is,

⇒ Circumference = 31.4 units

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Which of the slope is an equation of a line whose slope is 0?

1): Y=6
2):x=6
3):y=2x
4):x+y=1

Answers

Answer:

1) y=6

Step-by-step explanation:

The equation y=mx+b is called slope-intercept because it tells us the slope,m, and y-intercept ,b.

The equation y=a is a horizontal line and goes through a on the y-axis.  Horizontal lines have a slope of zero.

The equation x=b is a vertical line and goes through b on the x-axis.

Vertical lines have an undefined slope.

1) y=6 is horizontal so it's slope is 0

2) x=6 is vertical so it's slope is undefined

3) y=2x has slope 2

4) x+y=1 can be put into the form y=mx+b to determine the slope.

Subtract x on both sides:

       y=-x+1

The slope is -1.

Use the compound interest formula A =​P(1 + ​r) t and the given information to solve for r.
A =​$2300​, P =​$1600​, t =6 r =?

Answers

Answer:

Rounding to nearest hundredths gives us r=0.06.

So r is about 6%.

Step-by-step explanation:

So we are given:

[tex]A=P(1+r)^t[/tex]

where

[tex]A=2300[/tex]

[tex]P=1600[/tex]

[tex]t=6[/tex].

[tex]A=P(1+r)^t[/tex]

[tex]2300=1600(1+r)^6[/tex]

Divide both sides by 1600:

[tex]\frac{2300}{1600}=(1+r)^6[/tex]

Simplify:

[tex]\frac{23}{16}=(1+r)^6[/tex]

Take the 6th root of both sides:

[tex]\sqrt[6]{\frac{23}{16}}=1+r[/tex]

Subtract 1 on both sides:

[tex]\sqrt[6]{\frac{23}{16}}-1=r[/tex]

So the exact solution is [tex]r=\sqrt[6]{\frac{23}{16}}-1[/tex]

Most likely we are asked to round to a certain place value.

I'm going to put my value for r into my calculator.

r=0.062350864

Rounding to nearest hundredths gives us r=0.06.

There are 5 students in a small class. To make a team, the names of 2 of them will be drawn from a hat. How many different teams of 2 students are possible?

Answers

Answer:

10 possible teams.

Step-by-step explanation:

5C2

=5!/(5-2)!2!

=5!/3!2!

=5*4*3*2*1/3*2*1*2*1

=5*4/2*1

=20/2

=10

Therefore answer is 10 possible teams....

The seats at a local baseball stadium are arranged so that each row has five more seats than the row below it. If there are four seats in the first row, how many total seats are in the first 24 rows?

Answers

Answer:

Thus the last row has 119 seats.

The total number of seats in 24 rows = 1476

Step-by-step explanation:

The number of seats in each row make an arithmetic series. We will use arithmetic equation to find the number of seats in last row:

An = a1+ (n-1)d

An = 4+(24-1)5  

An = 4 + (23)(5)  

An = 4 + 115  

An = 119

Thus the last row has 119 seats.

Now to find the sum of seats we will apply the formula:

Sn = n(a1 + an)/2

Sn = 24(4+119)/2  

Sn = 24(123) /2  

Sn = 1476 .....

The total number of seats in 24 rows = 1476....

Answer:

1476 seats

Step-by-step explanation:

We are given that each row in a baseball stadium has five more seats than the row below it. Given that there are four seats in the first row, we are to find the total number of seats in the first 24 rows.

For this, we can use arithmetic sequence:

[tex]a_n = a_1+ (n-1)d[/tex]

[tex]a_n = 4+(24-1)5[/tex]

[tex]a_n=119[/tex]

Now that we know the number of seats in the last row, we will plug the value to find total seats in first 24 rows:

[tex]S_n=\frac{24(4+119)}{2}[/tex]

[tex]S_n=1476[/tex]

Therefore, there are 1476 seats in the first 24 rows.

There is a tall tree in Iva’s backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree is 50 feet from her house. When Iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. Iva’s house is safe if the tree’s height is less than the tree’s distance from the house. Complete the statement based on this information.


The height of the tree is_____50 feet, so Iva’s house is ______.

Answer choices:

1. Greater than, less than, equal to

2. Safe, not safe

Answers

Answer:

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Step-by-step explanation:

step 1

Find the height of the tree

Let

h ----> the height of the tree

we know that

The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)

so

tan(50°)=h/50

h=(50)tan(50°)=59.6 ft

therefore

The height of the tree is Greater than 50 feet, so Iva’s house is not safe

Answer:

greater than and not safe

Step-by-step explanation:

What is the length of AC? Round to the nearest tenth.
The equation sin(40°) = can be used to determine the
length of line segment AC.
11.8
12.9 cm
14.9 cm
15.3 cm

Answers

Answer:

12.9

Step-by-step explanation:

!!!!

The length of AC is approximately 12.9cm

Triangle identity

Given the following identity

Opposite = ACHypotenuse = 20cm

Using the SOH CAH TOA identity

sin 40 = AC/20

AC = 20sin40

AC = 20(0.6428)

AC = 12.9cm

Hence the length of AC is approximately 12.9cm

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circle O has a circumference of 36tt cm. what is length of the radius r

Answers

Answer:

5.73cm

Step-by-step explanation:

Given parameters:

Circumference of the circle = 36cm

Unknown

Length of the radius = ?

Lets represent the radius by r

Solution

The circumference of a circle is the defined as the perimeter of a circle. The formula is given as:

            Circumference of a circle = 2πr

Since the unknown is r, we make it the subject of the formula:

           r = [tex]\frac{circumference of the circle}{2π}[/tex]

          r = [tex]\frac{36}{2 x 3.142}[/tex] = [tex]\frac{36}{6.284}[/tex] = 5.73cm

Answer:

The radius = 18 cm.

Step-by-step explanation:

I am assuming that is 36π.

If so, then  circumference  = 2 π r and:

2 π r =  36 π

r  = 36π / 2π

r = 18.

6⁄10 _______ 9⁄12 A. > B. ≤ C. = D.

Answers

6/10 is equal to 0.60
9/12 is equal to 0.75
your answer is not above for D but if D is < then that would be the correct answer :)

For this case we must indicate the sign corresponding to:

[tex]\frac {6} {10}[/tex]and [tex]\frac {9} {12}[/tex]

We have to:

[tex]\frac {6} {10} = 0.6\\\frac {9} {12} = 0.75[/tex]

It is observed that[tex]0.75> 0.6[/tex]

So we have to:

[tex]\frac {6} {10} <\frac {9} {12}[/tex]

Answer:

[tex]\frac {6} {10} <\frac {9} {12}[/tex]

Two sat math questions. Percentage and a graph

Answers

Answer:

15) 300%

Step-by-step explanation:

15)

Let the item originally cost n dollars.

The new incorrect price is (n-.6n).

So we want to find k such that (n-.6n)+k(n-.6n)=n+.6n

since we actually wanted it to be (n+.6n).

So we have (n-.6n)+k(n-.6n)=n+.6n

Distribute:

n-.6n+kn-.6nk=n+.6n

Subtract n on both sides

  -.6n+kn-.6nk=.6n

We are trying to solve for k. So add .6n on both sides:

kn-.6nk=1.2n

Divide both sides by n:

k-.6k=1.2

.4k=1.2

Divide both sides by .4

k=1.2/.4

k=3

So 3=300%.

The incorrect price must be increased by 300% to get to the proper new price.

Here is an example:

Something cost $600.

It was reduce by 60% which means it cost 600-.6(600)=600-360=240

This was the wrong price.

We needed it to be increased by 60% which would have been 600+360=960.

So we need to figure out what to increase I wrong price 240 to to get to our right price of 960.

240+k(240)=960

1+k=960/240

1+k=4

k=3

So 240*300%+240 would give me my 960.

16) Speed=distance/time

In the first half hour, she traveled 5 miles (8:30 to 9).

In 1/3 hour she traveled (5-2)=3 miles (9 to 9:20).

We are told not to do anything where she stayed still.

In the last half hour, she traveled (2-0)=2 miles (9:30 to 10).

The average speed=[tex]\frac{5+3+2}{\frac{1}{2}+\frac{1}{3}+\frac{1}{2}}=\frac{10}{\frac{4}{3}}=\frac{10(3)}{4}=\frac{30}{4}=\frac{15}{2}=7\frac{1}{2}[/tex].

approximately how many cubic feet of water could the tower hold?

I WILL MARK BRAINLIEST

(answer options and full questions is in the image above)​

Answers

Answer:

G. 7,500 cubic feet

Explanation:Find the radius of the tower. [tex]r=\frac{d}{2}=\frac{20}{2}=10[/tex]The formula for the volume of a cylinder is [tex]V=\pi r^2 h[/tex].  Substitute the values. [tex]V=\pi * 10^2 * 24[/tex]Find the exponent. [tex]V=\pi * 100 * 24[/tex]Multiply. [tex]V=\pi * 2400[/tex]Estimate by setting [tex]\pi[/tex] equal to 3.14. [tex]V=3.14*2400=7536[/tex]The closest answer choice is G. 7,500 cubic feet.

How do I solve multiplication property of inequality

Answers

Answer:

Yes, C is correct.

Step-by-step explanation:


Solve for x
3(x – 3) = 5x – 4 +3(7 – x)

Answers

Answer:

ok seems easy *ahem*

x=26

Step-by-step explanation:

*MLG intensufys*

Can someone explain how to do this? So I can stop askin for help... plzzzzzz!

Answers

Answer:

y = 5x

Step-by-step explanation:

The equation to do this is y = mx + b.

b is y intercept which is 0

m is the slope, which is 5

y = 5x + 0 or y = 5x

Answer:

y=5x

Step-by-step explanation:

So we have the points (0,0) and (2,10) that are on the line.

The slope can be calculate the slope by finding the rise and the run, and then putting the rise/run.

If you want to use the graph to count the rise, you can.  If you start at 0 and need to get to 10, then you need to rise 10 units.

If you want to use the graph to count the run, you can. If you start at 0 and need to get to 2, then you need to run 2 units.

So the slope is 10/2=5.

Or, if you didn't want to count, you could use the slope formula for a line given two points on that line.

That is the formula is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

There is another format for that formula that might be easier to remember.  Just line the points up and subtract vertically. Then put 2nd difference over 1st difference.

So let's do that also:

(  2  ,  10)

-(  0   ,   0)

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

  2           10

So the slope is 10/2=5.

Now you can get the same answer if you had done it the other way:

 ( 0 ,   0)

- ( 2 ,  10)

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

 -2      -10

So the slope is -10/-2=5.

You get the same number either way.

So the slope-intercept form of a line is y=mx+b.

m is the slope and b is the y-intercept.

We found m which is 5.

If you look at the graph, you see the line goes through the y-axis at y=0 so the y-intercept, b, is 0.

The equation of the line here is y=5x+0 or just simply y=5x.

how to solve the equation 2x^2 -1 =5x?

Answers

Answer:

x = 2.68, x = -0.186

Step-by-step explanation:

We are given the following equation that we are to solve:

[tex] 2 x ^ 2 - 1 = 5 x [/tex]

Rearranging this quadratic equation to get:

[tex] 2 x ^ 2 -5 x - 1 = 0 [/tex]

Solving it by using the quadratic formula as we cannot find any factors for it.

[tex]x= \frac{-b \pm \sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-(-5) \pm (-5)^2-4(2)(-1)}{2(2)}[/tex]

[tex]x=\frac{5 \pm\sqrt{25+8} }{4}[/tex]

[tex]x=\frac{5+\sqrt{33} }{4}[/tex], [tex]x=\frac{5-\sqrt{33} }{4}[/tex]

x = 2.68, x = -0.186

Answer:

x = 2.68, x = -0.186 is the answer , i got a 100% on my test

Step-by-step explanation:

to solve the equation below by completing the square, what is your first step?
3x^2+18x=21

Answers

Answer:

Multiply both sides of the equation by 1/3

Step-by-step explanation:

3x^2+18x=21

The first step is to get the x term with a coefficient of 1, so divide by 3 on both sides of the equation

This is the same as multiplying by 1/3

1/3 * (3x^2+18x)=21*1/3

x^2 +6x = 7

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.
2 - 3i is a zero of f(x) = x4 - 4x3 + 14x2 - 4x + 13.
*Can someone show the work I have the answers

Answers

Answer:

One other zero is 2+3i

Step-by-step explanation:

If 2-3i is a zero and all the coefficients of the polynomial function is real, then the conjugate of 2-3i is also a zero.

The conjugate of (a+b) is (a-b).

The conjugate of (a-b) is (a+b).

The conjugate of (2-3i) is (2+3i) so 2+3i is also a zero.

Ok so we have two zeros 2-3i and 2+3i.

This means that (x-(2-3i)) and (x-(2+3i)) are factors of the given polynomial.

I'm going to find the product of these factors (x-(2-3i)) and (x-(2+3i)).

(x-(2-3i))(x-(2+3i))

Foil!

First: x(x)=x^2

Outer: x*-(2+3i)=-x(2+3i)

Inner:  -(2-3i)(x)=-x(2-3i)

Last:  (2-3i)(2+3i)=4-9i^2 (You can just do first and last when multiplying conjugates)

---------------------------------Add together:

x^2 + -x(2+3i) + -x(2-3i) + (4-9i^2)

Simplifying:

x^2-2x-3ix-2x+3ix+4+9  (since i^2=-1)

x^2-4x+13                     (since -3ix+3ix=0)

So x^2-4x+13 is a factor of the given polynomial.

I'm going to do long division to find another factor.

Hopefully we get a remainder of 0 because we are saying it is a factor of the given polynomial.

                x^2+1

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

x^2-4x+13|  x^4-4x^3+14x^2-4x+13                    

              -( x^4-4x^3+ 13x^2)

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

                                 x^2-4x+13

                               -(x^2-4x+13)

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

                                    0

So the other factor is x^2+1.

To find the zeros of x^2+1, you set x^2+1 to 0 and solve for x.

[tex]x^2+1=0[/tex]

[tex]x^2=-1[/tex]

[tex]x=\pm \sqrt{-1}[/tex]

[tex]x=\pm i[/tex]

So the zeros are i, -i , 2-3i , 2+3i

The zeros of a function are the points where the function cross the x-axis.

One other zero of [tex]\mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13}[/tex] is 2 + 3i.

The zero of [tex]\mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13}[/tex] is given as:

[tex]\mathbf{Zero = 2 - 3i}[/tex]

The above number is a complex number.

If a complex number a + bi is the zero of a function f(x), then the conjugate a - bi is also the zero of f(x).

This means that, one other zero of [tex]\mathbf{f(x) = x^4 - 4x^3 + 14x^2 - 4x + 13}[/tex] is 2 + 3i.

Read more about zeros of functions at:

https://brainly.com/question/22101211

PMN is congruent to which angle?
OZCBA
ZABC
ZACB

Answers

Answer:

Angle CAB.

Step-by-step explanation:

Angle PMN is congruent to Angle CAB.

All we have to do is follow the markers to determine the order to put the letter.

P has the double marker.

C has the double marker.

Since P came first, you put C first.

M has the triple marker.

A has the triple marker.

Since M came second, you put A second.

N has the single marker.

B has the single marker.

Since N came third, you put B third.

Consider the example of finding the probability of selecting a black card or a 6 from a deck of 52 cards.

Answers

Answer:

The probability of selecting a black card or a 6 = 7/13

Step-by-step explanation:

In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.

According to the question we need to find out the probability of black card or 6. So we can write it as:

P(black card or 6):

The probability of selecting a black card = 26/52

The probability of selecting a 6 = 4/52

And the probability of selecting both = 2/52.

So we will apply the formula of compound probability:

P(black card or 6)=P(black card)+P(6)-P(black card and 6)

Now substitute the values:

P(black card or 6)= 26/52+4/52-2/52

P(black card or 6)=26+4-2/52

P(black card or 6)=30-2/52

P(black card or 6)=28/52

P(black card or 6)=7/13.

Hence the probability of selecting a black card or a 6 = 7/13 ....

If 20% of 10% of a number is 12, what is 10% of 20% of the same number?

Answers

There are 5 20% in 100% ( 20 x 5 = 100)

So 10% of a number would be 12 x 5 = 60

Then there are 10 10% in 100% ( 10 x 10 = 100).

So if 10% = 60, then 100% = 60 x 10 = 600.

The starting value is 600

600 x 10% = 600 x 0.1 = 60

60 x 20% = 60 x 0.2 = 12

Now you have the starting value you can calculate the other answer:

600 x 20% = 600 x 0.20 = 120

120 x 10% = 120 x 0.10 = 12

The answer would be 12

Answer:

12

Step-by-step explanation:

Long Answer:

"20% of 10% of a number is 12" translates to:

.2 (times) .1 (times) x         =   12

of translated to times.

20%=.20 or .2

10%=.10   or .1

number translated to variable.

is translated to equals.

We have the following equation to solve:

[tex].2 \cdot .1 \cdot x=12[/tex]

Simplifying the .2 times .1 part:

[tex].02 \cdot x=12[/tex]

Divide both sides by .02:

[tex]x=\frac{12}{.02}[/tex]

[tex]x=600[/tex]

Now it ask for "what is 10% of 20% of the same number?"

Multiplication is communicative and I wouldn't have done all of this work if I had seen them just switch the 10% and 20% around.  The answer is 12.

But for fun since we already done all of this work!

"10% of 20% of 600" translates to:

.1 (times) .2 (times) 600

[tex].1 \cdot .2 \cdot 600[/tex]

[tex].02 \cdot 600[/tex]

[tex]12[/tex].

Short Answer:

.2(.1)x=12 so .1(.2)x=12

Multiplication is commutative is the reason the answer is 12.

What are the solutions of the equation 6x2 +5x+1 = 0 ?

Answers

Answer:

Step-by-step explanation:

6x^2+5x+1=0

Descr= b^2-4ac

Descr= 25-24=1

X1= (-b+√descr)/2a = (-5+1)/12= -1/3

X2= (-b-√descr)/2a = (-5-1)/12= -1/2

Answer:

see explanation

Step-by-step explanation:

Given

6x² + 5x + 1 = 0

To factorise the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

The factors are + 3 and + 2

Use these factors to split the x- term

6x² + 3x + 2x + 1 = 0 ← ( factor the first/second and third/fourth terms )

3x(2x + 1) + 1 (2x + 1) = 0 ← factor out (2x + 1) from each term

(2x  1)(3x + 1) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - [tex]\frac{1}{3}[/tex]

A bag contains 5 red cubes and 7 white cubes. Celinda will select one cube, put it in her pocket, and then select a second cube. Which expression gives the probability that she will select two red cubes?

Answers

Answer:

The expression which gives the probability that she will select two red cubes = 5/12 * 4/11 ....

Step-by-step explanation:

According to the statement there are 4 red cubes and 7 white cubes.

The total number of cubes are = 7+5 = 12

If she picks up one red cube then the number of ways of picking up red cubes out of 12 is = 5/12

If she picks up 2nd red cube then  the number of ways of picking up 2nd red cube = 4/11

Therefore the expression which gives the probability that she will select two red cubes = 5/12 * 4/11 ....

Which is equivalent to (9y^2-4x)(9y^2+4x), and what type of special product is it?


A: 81y^4-16x^2, a perfect square trinomial

B: 81y^4-16x^2, the difference of squares

C: 81y^4-72xy^2-16x^2, a perfect square trinomial

D: 81y^4-72xy^2-16x^2, the difference of squares

Answers

Answer:

Option B: 81y^4-16x^2, the difference of squares

Step-by-step explanation:

we know that

The Difference of Squares is two terms that are squared and separated by a subtraction sign

so

[tex](a+b)(a-b)=(a^{2}-b^{2})[/tex]

In this problem we have

[tex](9y^{2}-4x)(9y^{2}+4x)[/tex]

Let

[tex]a=9y^{2}[/tex]

[tex]b=4x[/tex]

so

[tex]a^{2}=(9y^{2})^{2}=81y^{4}[/tex]

[tex]b^{2}=(4x)^{2}=16x^{2}[/tex]

substitute

[tex](9y^{2}-4x)(9y^{2}+4x)=81y^{4}-16x^{2}[/tex]

Answer: b

Step-by-step explanation: edge 2022

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