Find a polynomial f(x) of degree 4 that has the following zeros. 7 (multiplicity 2), 0,-4. Leave your answer in factored form

Answer:

[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]

Hence proved .

Answer:

Step-by-step explanation:

Top and bottom

Area = L*W

L = 4

W = 2

Area = 4 * 2 = 8

But there are two of them  (2 * 8)                       16

Left and right

Area = L * W

L = 3

W = 2

Area = 2 *3  = 6

But there are two of them                                   12

From back

L*W = 4*3

But there are two of them                                24

Total                                                                    52

9514 1404 393

Answer:

  A.  9 cubic units

Step-by-step explanation:

We interpret the smudges in your attachment to be dimensions of 1 1/2, 4, and 1 1/2. The volume is the product of these.

  V = LWH

  V = (4)(1.5)(1.5) = 9 . . . . cubic units

The volume of the prism is 9 cubic units.

Answer:

x= -1/7

Step-by-step explanation:

Answer:

[tex] \sin(x _{1} ) = \frac{1}{2} \\ \sin(x _{1} ) = \sin(30 ) \\ x_{1} = 30 \\ \cos(x _{1}) = \cos(30 ) \\ \cos(x _{1}) = \frac{ \sqrt{3} }{2} [/tex]

Answer:

[tex]-10x^2 + 70 x = 10x(-x + 7)[/tex]

Explanation :

[tex]-10x^2 + 70x = -10\cdot x\cdot x + 7 \cdot 10 \cdot x[/tex]

'x' and '10' are common in the first and second term. so we take them outside the parenthesis and write the remaining terms inside.

That is,  10 x (-x + 7)

Answer:

rectangle, square and trapezoids can be classified as quadrilaterals

Answer:

Step-by-step explanation:

First make the denominators the same.

Take the LCM of (8, 12 , 8) = 24

So,

      [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8} \ becomes \ \frac{3}{24}, \frac{22}{24}, \frac{27}{24}[/tex]

[tex]Order \ from \ least \ to \ greatest \ \\\\\frac{3}{24} < \frac{22}{24} < \frac{27}{24}[/tex]

That is,

           [tex]\frac{1}{8}, \frac{11}{12}, \frac{9}{8}[/tex]

Step-by-step explanation:

length of each rectangle= 9 1/14=127/14

breadth of each rectangle=5=4 1/2= 9/2

so perimeter of 1 rectangle= 2(l+r)

=2(127/14+ 9/2)

=2(127+63)/14

=2×190/14

=190/7

=27.14 feet

so total length of fencing= 4×27.14

=108.57 feet

hope you understand the solution and good luck!!

Answer:

Hey mate.....pls attach the pic..........

Answer:

Arc EC = 58°

Step-by-step explanation:

First, find the value of x.

m<D = ½(arc EC) => Inscribed Angles Theorem

Substitute

2x - 5 = ½(5x - 27)

Multiply both sides by 2

2(2x - 5) = 5x - 27

4x - 10 = 5x - 27

Collect like terms

4x - 5x = 10 - 27

-x = -17

Divide both sides by -1

x = 17

Find arc EC:

Arc EC = 5x - 27

Plug in the value of x

Arc EC = 5(17) - 27 = 85 - 27

Arc EC = 58°

Answer:

16,800 people

Step-by-step explanation:

105 * 250 = 26,250

p = 26250ft² * (16 people / 25ft²)

p = 16,800 people

Answer:

16800

Step-by-step explanation:

105 x 250 = 26250 and then divide it by 25 which is 1050 then multiply by 16 which is 16800

Hope this helps!

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

So, 1/6 * 1/6 = 1/36

Hope this is helpful

Answer:

Step-by-step explanation:

six sided die gives you 6 possibilities

probability of rolling a 2 is 1/6

probability of rolling a 5 on the second roll is 1/6

Answer:

Capacity of cube in liter = 15.625 liter

Step-by-step explanation:

Given:

Side of cube = 25 cm

Find:

Capacity of cube in liter

Computation:

Volume of cube = Side³

Volume of cube = 25³

Volume of cube = 15,625 cm³

We know that

1 cm³ = 0.001 liter

Capacity of cube in liter = Volume of cube in cubic cm x 0.001

So,

Capacity of cube in liter = 15,625 x 0.001

Capacity of cube in liter = 15.625 liter

Answer:

Length of Line AC = 26 units

Step-by-step explanation:

Given:

Line AC = [3x + 1] + 8

Line BC = [x - 2] + 2

Find:

Length of Line AC

Computation:

Line AB ║ Line L

So,

Using Mid-Point theorem;

[3x + 1] / 8 = [x - 2] / 2

2[3x + 1] = 8[x - 2]

6x + 2 = 8x - 16

8x - 6x = 16 + 2

2x = 18

x = 9

So,

Line AC = [3x + 1] + 8

Line AC = [3(9) + 1] + 8

Line AC = [27 + 1] + 8

Line AC = 28 + 8

Length of Line AC = 26 units

Answer:

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

Step-by-step explanation:

Given

See attachment for graph

Required

Compare the distance and time travel

From the attached graph, we have the origin to be (0,0).

This represents the mile marker 225

Mile marker 230 is represented by point 5 on the y-axis.

Kevin's line at point 5 is represented as: (16,5)

Carrie's curve at point 5 is represented as: (16,5)

Both points are equal; i.e.

[tex](16,5) =(16,5)[/tex]

This implies that they traveled the same distance and they spend the same amount of time from 225 to 230 mile marker

Answer:

D: Inflation

money loses value over time because there may be new laws or regulations that will make the value change i think thats part of it but it is D

firstable its not 45

its sin(-240)=sin(60)

sin(60)=√3/2

sin45=√2/2

Answer:

Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .

Step-by-step explanation:

i hope i help have a great day :))

Answer:

2π or 6.284 meters

Step-by-step explanation:

Circumference = πd

= 2π

Answer:

the time is 16 days

Step-by-step explanation:

The computation of the time period is given below:

N = 500 √t

2000 = 500 √t

√t = 4

Now do the square on both the sides

SO,

t = 16

Hence, the time is 16 days

We simply applied the above method to determine the time period

Answer:

1. Triangles HIJ and KML

2. Triangles RST and YXZ

3. Reflexive property and Congruent Property

Step-by-step explanation:

Step-by-step explanation:

for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence

Answer:

66

Step-by-step explanation:

180 - 57-57

Answer:

Using the formula

A

=

π

r

2

Solving for

r

r

=

A

π

=

42

π

≈

3.65637

Answer:

Let Rose be R

Let her daughter be D

"3" yrs ago.

Subtract 3 from their ages

Rose was then (R-3) yrs old.

Daughter ..........(D-3)yrs old

So 3yrs ago.... Rose was 24yrs older than D.

Meaning

R=24+D

Which 3yrs ago can be expressed as

(R-3)=24+(D-3)

R - 3 = 24 + D - 3

R - D=24-3 + 3

R-D=24--------1

Now

At present.

R is 5times as old as Daughter

Meaning R = 5D-------2

Substituting into eqn 1

R-D=24

5D-D=24

4D=24

D=6yrs

Substitute D=6 into any equation of choice to get R

R-D=24

R=24+D

R=24+6

R=30yrs

Now we have Roses's age to be 30yrs and Daughter's age to be 6yrs.

We're asked to find the daughter's age in 3yrs time...

Meaning ....D+3

=6+3 = 9yrs

DAUGHTER WOULD BE 9YRS OLD IN 3YRS TIME.

=====================================================

Explanation:

Before we can find the standard deviation, we need to find the sample mean which is xbar.

Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set

xbar = (sum of values)/n

xbar = (45+30+35+20+21+46+16+37)/8

xbar = 31.25

Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.

Example: x-xbar = 30-31.25 = -1.25 in row 2

From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5

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

The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375

This is the population variance. Apply the square root to get the population standard deviation

sqrt(variance) = sqrt(114.9375) = 10.7208908

which is approximate. This rounds to 10.721

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

Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.

Answer: y=93.62logx + 19.81

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

k500: k300

Step-by-step explanation:

5 parts :3 parts

there are 5+3=8 parts in total

800 divide by 8 parts = 100 in each part

k800 is 5:3  is k500: k300

6x-5

Step-by-step explanation:

4/5÷4/10

12×2 -64×-11,×+1

×3-×2+7×

___________

6x-5 answer

[tex]\huge \bf{Question:-}[/tex]

What is the fraction of 100 and 3,000.

[tex]\huge\bf{Answer:-}[/tex]

[tex] \bf{ \frac{100}{3000} } \: simplified \: to \: lowest \: term \: is : - [/tex]

[tex] \bf \pink{ \frac{1}{30}} [/tex]