Which is true about the degree of the sum and difference of the polynomials
3x^5y - 2x^3y^4 - 7xy^3 and -8x^5y + 2x^3y^4 + xy^3 ?

Answers:
Both the sum and difference have a degree of 6
Both the sum and difference have a degree of 7
The sum has a degree of 6, but the difference has a degree of 7
The sum has a degree of 7, but the difference has a degree of 6

The distance between the ship and the shore is 63.83 meters.

We have,

Distance between the ship and the shore = x

Use tangent trigonometric identites.

tan θ = perpendicular / Base

tan 25 = 30/x

tan 25 = 0.47

0.47 = 30/x

x = 30/0.47

x = 63.83

Thus,

The distance between the ship and the shore is 63.83 meters.

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Answer:

The dimensions of the helmet box are as follows

Width is 9 inches

Length is 9 inches

Height is 8 inches

The dimensions of the shipping box ordered are as follows;

Width is 11 inches

Length is 13 inches

Height is 8 inches

Step-by-step explanation:

8(n + 2)(n + 4) = 1144

8·n² + 48·n + 64 = 1144

8·n² + 48·n - 1080 = 0

8×(n - 9)×(n + 15) = 0

∴ n = 9 or -15 inches

The dimensions of the helmet box are as follows

Width = 9 in.

Length = 9 in.

Height = 8 in.

The dimensions of the shipping box ordered are as follows;

Width = 9 + 2 = 11 in.

Length = 9 + 4 = 13 in.

Height = 8 in.

Answer:

8 inches x 11 inches x 13 inches

Step-by-step explanation:

I got correct on edmentum

Answer:

5x+30

Step-by-step explanation:

simply add each side together:

(x+13)+(3x+2)+8+2+(x+5)

=5x+30

Answer:

w = -7z/2

Step-by-step explanation:

We need to solve for w in terms of z.

The equation given is:

5w + 9z = 2z + 3w

Collect like terms:

5w - 3w = 2z - 9z

2w = -7z

w = -7z/2

Answer:

option A (-7/2z)

Step-by-step explanation:

Answer:

(B) Write Negative 3 and one-third as Negative StartFraction 10 over 3 EndFraction, and find the reciprocal of StartFraction 4 over 9 EndFraction as StartFraction 9 over 4 EndFraction. Then, rewrite Negative 3 and one-third divided by StartFraction 4 over 9 EndFraction as Negative StartFraction 10 over 3 EndFraction times StartFraction 9 over 4 EndFraction. The quotient is Negative 7 and StartFraction 6 over 12 EndFraction = Negative 7 and one-half.

Step-by-step explanation:

To find the quotient of the division:

[tex]-3\dfrac13 \div \dfrac49[/tex]

Step 1: [tex]\text{Write}$ $ -3\dfrac13$ as $ -\dfrac{10}{3}[/tex]

[tex]-3\dfrac13 \div \dfrac49 = -\dfrac{10}{3} \div \dfrac49[/tex]

Step 2: Find the reciprocal of  [tex]\dfrac94[/tex]

[tex]-\dfrac{10}{3} \times \dfrac94\\=-7\dfrac12[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:y=x+8x+15

Step-by-step explanation:

Answer:

d =±2sqrt(7) i

Step-by-step explanation:

d^2 = -28

Take the square root of each side

sqrt(d^2) = ±sqrt(-28)

d = ±sqrt(-28)

d = ±sqrt(-1)sqrt(28)

We know that sqrt(-1) = i

d =±i*sqrt(4)sqrt(7)

d =±i 2sqrt(7)

d =±2sqrt(7) i

Answer:

2,8,8

Step-by-step explanation:

The class interval 20 <h < 30  contains the median.

To find the interval in which median is lies, first we have to find the cumulative frequency.

The table is,

Height range                   frequency                     Cumulative frequency

0<h < 10                               1                                        1

10 <h < 20                            9                                        1 + 9 = 10

20 <h < 30                           7                                       10 + 7 = 17

30 <h < 40                           13                                       17 + 13 = 30

                                      Sum = 30

Since, the sum of frequency is even. So that the median is ,

                    [tex]\frac{\frac{n}{2} th +(\frac{n}{2} +1)th}{2} =\frac{15th +16th}{2}[/tex]

From observing table, 15th and 16th term lies in cumulative frequency of 17.

Thus, the class interval 20 <h < 30  contains the median.

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Answer:

-21. -19.-17

Step-by-step explanation:

Let x be the smallest

x+2 next smallest

x+4 be the largest

4*(x) = 18+6(x+4)

Distribute

4x = 18+6x+24

Combine like terms

4x = 42+6x

Subtract 6x from each side

-2x = 42

Divide by -2

-2x/-2 = 42/-2

x = -21

x+2 = -19

x+4 = -17

Answer:

- 21, - 19, - 17

Step-by-step explanation:

Let y be the smallest no.

& y + 2 next smallest no.

& y + 4 be the largest no.

= 4 * (y) = 18 + 6 * (y + 4)

4y = 18 + 6y + 24

4y - 6y = 42

- 2y = 42

= - 21

The other 2 numbers are:

y + 2

= - 19

y + 4

= - 17

Hope this helps!

Answer:

f = 6, g = 8

Step-by-step explanation:

The area of Δ ADE = 60 - 48 = 12 cm²

Thus

[tex]\frac{1}{2}[/tex] AD × 4 = 12, that is

2AD = 12 ( divide both sides by 2 )

AD = 6 = f

The area of ABCD = 48 cm² , thus

fg = 48 , that is

6g = 48 ( divide both sides by 6 )

g = 8

Thus f = 6 and  g = 8

Answer:

What is f(x) + f(x) + f(x)? 3f(x)

3f(x) = 3x^2

Evaluate 3f(2) = 12

The required value of the additions of the functios is 3x².

Given that,
f(x) = x2

What is fx) + f(x) + f(x) is to be determined,

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax + b is a polynomial.

Here,
f( x ) = x²
Now f(x) +f(x) + f(x) = x² + x² + x²
       f(x) +f(x) + f(x) = 3x²

Thus, The required value of the additions of the functions is 3x².

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Answer:

The dimensions of the three possible boxes are;

Box 1:  2 inches length by 4 inches width by 5 inches height

Box 2:  2 inches length by 2 inches width by 10 inches height

Box 3:  8 inches length by 1 inch width by 5 inches height

Step-by-step explanation:

The dimensions of the required box = 40 in³

Therefore, a box that will hold all the cubes will have a dimension given as follows;

Length, l × Width, w × Height, h = 40 in.³

We therefore, look for possible dimensions of l, w, h, however to make is faster, we note that l × w = base area, BA, hence we look for the factors 40 thus;

BA × h        ≡  l × w × h

8  × 5 = 40 ≡ 2 × 4 × 5 = 40

4 × 10 = 40 ≡ 2 × 2 × 10 = 40

8 × 5 = 40 ≡ 8 × 1 × 5 = 40

Hence we have our three possible boxes as follows;

Box 1: Length = 2 inches, width = 4 inches and height = 5 inches

Box 2: Length = 2 inches, width = 2 inches and height = 10 inches

Box 3: Length = 8 inches, width = 1 inches and height = 5 inches.

Answer:

34 packages

25 packages

Step-by-step explanation:

He needs a pair of buns for each hamburger.

He needs 200 hamburger. That means that he needs 400 buns for his picnic.

If buns come in a package of 12, the number of packages he needs is:

400 / 12 = 33.33 packages

Because packages come in whole numbers, we have to round up.

That means he needs 34 packages.

If buns come in a package of 16, the number of packages he needs is:

400 / 16 = 25 packages

Answer:

[tex]x = 26.25[/tex] inches

Step-by-step explanation:

Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.

[tex]\frac{15.75}{x} = \frac{9}{15}[/tex]

Cross multiply:

[tex]236.25 = 9x[/tex]

Divide both sides by '9' to solve for 'x':

[tex]\frac{236.25}{9} = \frac{9x}{9}[/tex]

[tex]x = 26.25[/tex]

Therefore, side length 'x' equals 26.25 in.

Answer: 83

Step-by-step explanation:

225 - 55 -87= 83

You have $83 left on the credit card as your balance.

Answer:

0.2 times

Step-by-step explanation:

Saturn: 8.867 × 108 = 957.636

Uranus: 1.787 × 109 = 194.783

You take (Uranus: 194.783)

& you divide it by (Saturn: 957.636)

You should get a funky number like 0.203399830415732 but since they said approximately you only need to use the first 2 (don't forget to round)

That would make Uranus 0.2 times as far from the sun

Answer:

8

Step-by-step explanation:

Expression:

(-B)2

Let's substitute the value of B into this expression:

B = -4

(-B)2

[-(-4)]2

Notice how there are two negative signs int this expression:

[-(-4)]2

Well, there is an invisible 1 behind the first negative sign.

[-(-4)]2

[-1(-4)]2

All we have to do now is multiply:

[-1(-4)]2

(4)2

(4)2

= 8

Therefore, the value of the expression is 8.

Answer:

414 9/16 m³

[tex]414\frac{9}{16}m^{3}[/tex]

Step-by-step explanation:

The volume of a Rectangular prism is calculated as Length × Width × Height

From the attached diagram,we can see that

The length = 8 3/8 m

The width = 6 m

The height =8 1/4 m

Converting the mixed fraction to improper fraction in other to simplify it better

The length = 67/8 m

The height = 33/4 m

The volume of the rectangular prism =

67/8 m × 6m × 33/4m

= (13266/32)m³

= 6633/16 m³

= 414 9/16 m³

= [tex]414\frac{9}{16}m^{3}[/tex]

Answer:

B. - 6p - 78

Step-by-step explanation:

-5 (3p+3) + 9 (-7 + p)

Expand.

-15p - 15 - 63 + 9p

Rearrange.

-15p + 9p + -15 + -63

Factor out.

p(-15+9) + -(15+63)

p(-6) + -(78)

-6p + - 78

-6p - 78

Answer:

-6p-78

Step-by-step explanation:

=> -5(3p+3)+9(-7+p)

=> -15p-15-63+9p

=> -15p+9p-78

=> -6p-78

Hope this helps!

Don't hesitate asking anything regarding this!

Give other person the brainliest answer :)

Answer:

8 + (5W)/ 4

Step-by-step explanation:

Plug in 2 for x

2 * 2 * 2 + (5W)/(2 + 2)

8 + (5W)/ 4

Firstly Bernard = x

A) lets focus on Therese first. Bernard id two years older than her so for Therese’s equation in terms of x it would be x+2. Now for Josephine Bernard is 4 years younger than HER so it would be 4-x.

B) The mother is the PRODUCT of the sisters’ ages so (multiplication)

It would be like this: (x+2)(4-x)= 40 This is all in terms of x.

Solving for the equation (using distributive property) we get:

4x-x+8-2x=40

(Reorganize to group like terms, remember to go in order from the numeral numbers with variables, to variables only then numbers only): 4x-2x-x+8=40 (now combine like terms and simplify): x+8=40 this is his mom’s age in terms of x

C) HERE we can solve for x:

Isolating x to get the answer we move the 8 to the other side of the equation and it becomes a negative 8 so:

x=40-8

x=32

Therefore Bernard is 32 years old.

Hope this helps!

Answer:

4096

Step-by-step explanation:

Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n

Therefore,

((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2

Now lets focus on ((3/16)^-2)^3/2

(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.

We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27

So now we have, 9^3/2 * 4096/27

We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.

Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096

Answer: 1/16 of a pound

Step-by-step explanation:

Here is the complete question:

Jordan bought 9/16 of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?

1/16 of a pound

1/9of a pound

16/81 of a pound

81/16 pounds

From the question, we are told that Jordan bought 9/16 of a pound of sunflower seeds and then divided them equally into 9 snack bags for his lunch. To get the weight of sunflower seeds in each snack bag, we will divide 9/16 by 9 snack bags. This can be written mathematically as:

= 9/16 ÷ 9

= 9/16 × 1/9

= 1/16

The weight of sunflower seeds in each snack bag will be 1/16 of a pound.

Answer:

A- 1/16

Step-by-step explanation:

I took the quiz and got it correct :) hope I could help!!!

Step-by-step explanation:

X × 3 + 4 = 22

X × 3 = 22 - 4

X × 3 = 18

X = 18 /3

X = 6

Answer:

214 ft^3

Step-by-step explanation:

Here, we are asked to calculate the volume of the cylindrical construction pipe.

Mathematically, the volume V

V = pi * r^2 * h

r is radius = diameter/2 = 4/2 = 2 ft

h = 17ft

pi = 3.14

Putting these values, we have;

V = 3.14 * 2^2 * 17 = 213.52 which is 214 ft^3 to the nearest whole number

Answer: shes right

Step-by-step explanation:

Answer:Initiation fee is $400 while monthly fee is $10

Step-by-step explanation:

Let the initial fee be x which is fixed while the monthly fee be y

At the end of 5 months, 450 was paid

This means that;

x + 5y = 450 ••••••••(i)

At the end of 10 months, $500 was paid

Mathematically, this means that;

x + 10y = 500•••••••••••(ii)

now we solve both equations simultaneously to get the value of x and y

our equation ii can be rewritten as;

x + 5y + 5y = 500

we can now insert equation i directly into this

450 + 5y = 500

5y = 500-450

5y = 50

y = 50/5

y = $10

From x + 5y = 450

let’s insert the calculated value of y

x + 5(10) = 450

x + 50 = 450

x = 450-50

x = $400

Answer:

Step-by-step explanation:

y = atan(10/8) = 51.3 deg

Answer:

11) D, 12) D

Step-by-step explanation:

if you do the math it works

Answer:

A≈113.1in²

Step-by-step explanation:

Radius: 6in

Solved for area

Shape: Circle

Formula: A=πr2

1: Use the formula πr (r) to calculate the the area.

2: We are looking for the area.

3: 6 inches for radius to find the area

Answer: A≈113.1in²

Hope this helps.