Drag the tiles to the correct boxes to complete the pairs.
Match the x-coordinates with their corresponding pairs of y-coordinates on the unit circle.
tile: 1 (4/5,y), 2(1/3,y) 3(squared2/3,y), 4(2/3,y)

matching graph:
y=+/- squared5/3
y=+/- squared7/3
y=+/-3/5
y=+/-2squared2/3

The complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

For solving the quadratic equation by completing the square, we first need to ensure that the constant of the square variable is unit.

Following are the steps involved

[tex]5x^2+15x-4=0[/tex]

divide both side by 5

[tex]x^2+3x-\frac{4}{3}=0[/tex]

add 9 on both sides of the equations

[tex]x^2+3x-\frac{4}{3}-9/4+ 9/4=0[/tex]

[tex]x^2+3x+ 9/4=\frac{4}{3}+9/4\\(x+3/2)^2=43/12[/tex]

Therefore we the complete square of the given polynomial is

[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]

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Answer:

A

Step-by-step explanation:

Answer:

1,708?

Step-by-step explanation:

pretty sure this is the answer

Answer:

5 Hours

Step-by-step explanation:

Bob needs atleast 4 hours to do his work

Ted needs atleast 6 hours

Bob is going to help ted speed up a little

2.4 and 2.1 are to fast because bib needs 4 hours and ted needs 6 so the meet in the middle and get 5.

Hope this helps!

Answer:

BC ≈ 18.7

Step-by-step explanation:

using the sine rule in Δ ABC

[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AC}{sinB}[/tex] ( substitute values )

[tex]\frac{BC}{sin67}[/tex] = [tex]\frac{20}{sin80}[/tex] ( cross- multiply )

BC × sin80° = 20 × sin67° ( divide both sides by sin80° )

BC = [tex]\frac{20sin67}{sin80}[/tex] ≈ 18.7 ( to the nearest tenth )

Answer:C. 38.14

Step-by-step explanation:

The required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.

Given that,
The number of hours the employee worked each week for seven consecutive weeks was 38, 37. 5, 38. 25, 35. 75, 39. 5, 39. 5, and 38. 5.

The mean of the values is the ratio of the total sum of values to the number of values.

here,
According to the question,
Mean = Sum of the working hours/number of weeks
Mean = 38 + 37. 5 + 38. 25 + 35. 75 + 39. 5 + 39. 5 + 38. 5 / 7
Mean = 267/7
Mean = 38.14

Thus, the required mean of the given data is given as the employee worked 38.14 hours through 7 weeks.

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Answer:

7/20

Step-by-step explanation:

There were 20 tries, and 7 of them(blue picks) were desired outcomes.

15 people liked country, and 10 people liked opera, so 10+15 = 25.

25 people combined

Answer:

0.111

The probability of two blue marbles being drawn from the bag to all marbles is [tex]\frac{2}{18}[/tex], and [tex]\frac{2}{18}~-- > ~0.111[/tex] rounded to nearest thousandth.

Ask in the comments box.

Answer:

the nets are for 3Dshapes

Step-by-step explanation:

the drawing shown are nets

Answer:

A (0,6)  B (6, 1)  C (2,2)

Step-by-step explanation:

A (4, 4)

  [-4, 2]

Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates

Image Coordinates:

A----->A¹(0,6)

B----->B¹(2,3)

C----->C¹(-2,4)

Answer: Random Sampling

Step-by-step explanation:

The act of collecting data that are representative of the population data is called random sampling.

Answer:

28

Step-by-step explanation:

4 x 77 / 11 x 1  =  308 / 11

308/11 = 28    11/11 = 1

the answer is 28 / 1

Hey there!

4/11 of 77

= 4/11 * 77/1

= 4(77) / 11(1)

= 77(4) / 1(11)

= 77 + 77 + 77 + 77 / 11

= 154 + 154 / 11

= 308 / 11

= 28

Therefore, your answer is: 28

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

sqrt2/sqrt3; 1/sqrt3; sqrt5/2

Step-by-step explanation:

to solve this equation you can basically put paranthesis squared around all of the options

(sqrt2/sqrt3)^2 becomes simply 2/3

(1/sqrt3)^2 becomes simply 1/3

(pi/3)^2 becomes a decimal that is not rational

[(sqrt5)/2]^2 becomes simply 5/4

the first, second, anad last are all rational

The value of the x of the equation x² + 2x = 24 is negative 5 and negative 1, then the correct option is A.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression equation is given below.

f(x) = x² + 6x + 5

On factorization, we have

     x² + 6x + 5 = 0

x² + 5x + x + 5 = 0

   (x + 5)(x + 1) =0                    

                    x = -1, -5

The value of x is –5 and –1.

More about the factorization link is given below.

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Answer:

A) -5 and -1

Step-by-step explanation:

Got it right on edge!

Answer:

5^15

Step-by-step explanation:

Using the laws of powers, you can multiply 5^3 out of its bracket and get 5^27. Then, once again, using the laws of powers, you can get 5^15 by subtracting the powers.

Answer:

(5^3)^9/5^12 is equivalent to 5^15

Step-by-step explanation:

Begin by simplifying (5^3)^9

To make it much easier, apply the power rule. (a^x)^y = a^xy)

Multiply 3 x 9 = 27... so we get 5^27

Next, instead of dividing 27/12, which will result in a decimal..you must do 27-12, which is applying the quotient rule.  (a^x / a^y = a^x-y)

5^27/5^12 = 5^27-12 = 5^15

( When I use /, it signifies to divide.)

So,  (5^3)^9/5^12 is equivalent to 5^15! Hope this helps! :D

Answer:

13 units

Step-by-step explanation:

Distance formula:

d = [tex]\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

In this problem,

d = [tex]\sqrt{(7 - 2)^2 + (4 - -8)^2}[/tex]

d = [tex]\sqrt{(5)^2 + (12)^2}[/tex]

d = [tex]\sqrt{25 + 144}[/tex]

d =      [tex]\sqrt{169}[/tex]

d = 13

Answer: Most customers who rate their service as high quality return for additional services.

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

Answer: I don't see the paper very well.

Step-by-step explanation:

Answer:

It's 1 pint

Step-by-step explanation:

If you look up how many cups are in a pint it says 2 and the liquid is filled up to the line of 2 cups

Answer:

1500 * 0.07 = 105

105 + 1500 = 1605

Step-by-step explanation:

Answer:

p=-10

Step-by-step explanation:

6=-2(p-5)/5

6=-2p+10/5

x5 to both sides to get rid of denominator

30=-2p+10

-10 from both sides to get rid of it on the right

20=-2p

divide by -2 from both sides to get p by itself to know its value

20/-2=-10 so....

p=-10

Answer:

B. There is only one base for a pyramid.

D. The faces of pyramids are traingles.

E. The faces of prisms are rectangles.

Step-by-step explanation:

The difference between a pyramid and a prism is:

There is only one base for a pyramid.

The faces of pyramids are triangles.

The faces of prisms are rectangles.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The number of vertices is always equal to the number of sides for a prism but not a pyramid.

The faces of pyramids are triangles while the faces of prisms are rectangles.

A prism has two parallel bases and its other faces are rectangles.

A pyramid has a single base and its faces are triangles.

A prism also has the same number of vertices as its number of sides, but this is not true for a pyramid.

Thus,

The difference between a pyramid and a prism is:

There is only one base for a pyramid.

The faces of pyramids are triangles.

The faces of prisms are rectangles.

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Using the Fundamental Counting Theorem, it is found that he has 10 possible options to choose from.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

The total number of options is given by:

N = 2 x 5 = 10.

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Answer:

The answer for your question is C. 22°, 22°, and 136°.

Explanation:

A right triangle will always have one angle that is 90°.

All of the other options have a 90° angle, so your answer is C.

Hope this helps!

Answer:

First, add totals to the table (see attachment)

Let S = Sourdough

Let C = With cheese

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(S)=\dfrac{1225}{3125}=\dfrac{49}{125}[/tex]

[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]

[tex]\implies \sf P(S \cap C)=\dfrac{800}{3125}=\dfrac{32}{125}[/tex]

For independent events S and C,

[tex]\sf P(S \cap C)=P(S)P(C)[/tex]

[tex]\sf\:As\quad P(S) \cdot P(C)=\dfrac{49}{125} \cdot \dfrac{16}{25}=\dfrac{784}{3125}[/tex]

[tex]\sf And\quad \dfrac{32}{125} \neq \dfrac{784}{3125}[/tex]

[tex]\sf Then \quad P(S \cap C)\neq P(S)P(C)[/tex]

So the events are NOT independent

Answer:

Answer depends on the value you put

Step-by-step explanation:

let's say a= 3 and x =4 then,

or 3*4 -w = 3

or 12 - w = 3

or -w = 3- 12

or -w = -9

or w = 9

just put any value in a and x and you will get the answer

is given that the number of bacteria doubles every hour.

Therefore, the number of bacteria after every hour will form a G.P.

with first term (a=30) and common ratio (r=2)

∴a

3

=ar

2

=(30)(2)

2

=120

Therefore, the number of bacteria at the end of 2nd hour will be 480.

a

5

=ar

4

=(30)(2)

4

=480

and a

n+1

=ar

n

=(30)(2)

n

Thus the number of bacteria at the end of nth hour will be (30)(2)

n