mZQPS = 88
mZRPS = 5x + 34°
mZQPR = 8x + 15 °
Find mZRPS:

Answer:

Perimeter = 4s

Step-by-step explanation:

The perimeter of a square = 4*length

Given that length = s

Perimeter = 4s

-Chetan K

Answer:

Systems by Graphing

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

66 mod 12

quotient 5

reminder 6

true statement

66 = 6 (mod 12)

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in [tex]x^3 + 3x^2 + 5[/tex], the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

Those terms which have same variables raised with same powers.

For example, [tex]x^3[/tex] and [tex]3x^3[/tex]  are like terms since variable is same, and it is raised to same power 3.

For example [tex]4x^2[/tex] and [tex]x^3[/tex] are not like terms as the variables are same but powers aren't same.

The given polynomials are:

[tex]c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10[/tex]

Their sum is

[tex]c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11[/tex]

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

[tex]c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9[/tex]

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

https://brainly.com/question/9351663

Answer:

Step-by-step explanation:

Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for her experiment and after one day, her number of bacteria was equal to 50 to the second power. Choose the statement that is true for the number of bacteria after one day.

Answer:

f(x)=(x+1)(x-5)

=x+1=x-5

=1+5=x-x

=6

Answer:

the middle 3

Step-by-step explanation:

6^(4-5)

6^(-1)

so three are equal to this

1/6

6^-1

and

1/6^1

Answer:

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

If two marbles are taken and we are looking for exactly one red, then it is:

Find the probability of each case:

Probability of exactly one red:

The solution of the logarithmic equation provided using the log rule is,

[tex]x=-3[/tex]

When the base of the logarithm in an equality expression is same, then the number are directly compared to each other.

The given logarithmic equation in the problem is,

[tex]\log_7(x -4) = \log_7(4x +5)\\[/tex]

Compare the number for the same base as,

[tex](x-4)=(4x+5)[/tex]

Solve the equation further as,

[tex]4x-x=-4-5\\3x=-9\\x=\dfrac{-9}{3}\\x=-3[/tex]

Thus, the solution of the logarithmic equation provided using the log rule is,

[tex]x=-3[/tex]

Learn more about the rules of logarithmic function here;

https://brainly.com/question/13473114

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

Verify by graphing.

All three given points (1, −6 ), (−2, 15) , (3, 30) appear on the last function's graph.

Answer:

p = 4

Step-by-step explanation:

3p + 8 = 20

3p = 20 - 8

3p = 12

p = 12/3

p = 4

Answer:

see below

Step-by-step explanation:

2p + 8 = 20 - p

add p to both sides

2p + p + 8 = 20 - p + p

combine like terms

3p + 8 = 20

subtract 8 from both sides

3p + 8 - 8 = 20 - 8

combine like terms

3p = 12

divide both sides by 3

3p / 3 = p

12/3 = 4

we're left with p = 4

Answer:

19w + 3

Explanation:

perimeter: length measure of all sides

perimeter for this shape:

→ 4w + 4 + 6w + 5 + 7w + 3 + 2w - 9

group terms like this ↓

→ 4w + 6w + 7w + 2w + 4 + 5 + 3 -9

add basic numbers ↓

→ 4w +6w +7w +2w +3

final answer ↓

→ 19w + 3

Perimeter is the sum of all the sides.

2w-9 + 4w + 4 + 6w + 5 + 7w + 3

Combine like terms:

19w + 3

Rewrite the fractions to have a common denominator:

Juan: 31/7 x 3 = 93/21

Ari: 19/3 x 7 = 133/21

now you can subtract:

133/21 - 93/21 = 40/21 pounds = 1 and 19/21 pounds heavier

Answer:

400 ways

Step-by-step explanation:

Times 10 x 10 x 2 x 2  to get your answer

well, we know the triangle besides being an isosceles, is also a right-triangle, so let's use the pythagorean theorem.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{72}}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases}\implies (\sqrt{72})^2=x^2+x^2 \\\\\\ 72=2x^2\implies \cfrac{72}{2}=x^2\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]

Answer:

x = 6

Step-by-step explanation:

sine law

a/ sin a = x / sin x

(72)^1/2 / sin 45º = x / sin 90

6 = x/1

multiply each side by 1

6 = x

Answer: 12 yearly admissions and 38 single admissions

Step-by-step explanation:

Let x be yearly membership

Let y be single admission

x+y=50 --> # of tickets sold

35.25x+6.25y=660.50 --> $ of tickets

Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)

-3525x-3525y=-176250

+  3525+625y=66050

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

-2900y=-110200

y=38

Substitute y=38 into equation 1

x+38=50

x=12

Therefore, 12 yearly admissions and 38 single admissions were sold

Answer:

17 1/4mph

Step-by-step explanation:

As you can see, Sarah rides her bike 5 3/4 in 1/3 hours. All you need to do is multiply 5 and 3/4 by 3 since it's thirds. 5x3=15. 3/4x3=9/4. 9/4= 2 1/4. 15+2 1/4= 17 1/4mph.

Answer:

800

Step-by-step explanation:

52 weeks in a year then multiply 15.40

Answer:

$803

Step-by-step explanation:

cost of electricity for 1 week = 15.40

⇒ cost of electricity for 1 day = 15.40 ÷ 7 = 2.20

⇒ cost of electricity for 365 days = 2.20 x 365 = 803

Answer:

Looks like (pi)= 22/7

Step-by-step explanation:

Answer:

I believe it is pi, as in 3.14 pi. (The handwriting is so confusing)

Step-by-step explanation:

Pi typically looks like a cursive "r" or a bench of some sort, so I believe this is the pi symbol. Hope that helps :)

Answer:

x - y = 4

Explanation:

I hope it's correct

answer:

x - y = 4

explanation:

[tex]\rightarrow \boxed{\frac{3^x}{3^y} = 81}[/tex]

[tex]\rightarrow \boxed{3^{x-y} = 81}}[/tex]

[tex]\rightarrow \boxed{3^{x-y} = 3^4}}[/tex]

[tex]\rightarrow \boxed{x-y = 4}[/tex]

Answer:

1. 3x^7

2. 192

3. x^6y^3

4. 3x^3

5. 3^2x

Step-by-step explanation:

Answer:

1. 3x⁷

2. 192

3. x⁶y³

4. 12x¹¹

5. 3²x

Answer:

f =38

Step-by-step explanation:

f-3/4=5/6

f-3×6=5×4

f-18 =20

f =20+18

f =38

World War I, often abbreviated as WWI or WW1, also known as the First World War or the Great War, was an international conflict that began on 28 July 1914 and ended on 11 November 1918

Answer:

CDA≈27,6°

Step-by-step explanation:

First we solve the x using pythagorean theorem

a^2+b^2=c^2

x^2+6^2=6.5^2

x^2+36=42.25      ||-36

x^2=42.25-36

x^2=6.25               ||√

√x^2=√6.25

x=2.5cm

now we can solve y

y = 23cm-9cm-2.5cm

y=11.5cm

now we can solve CDA angle with tanα

tanα=[tex]\frac{a}{b} \\[/tex]

tanα=6cm/11.5cm

α≈27,6°

Answer:

5.66 feet

Step-by-step explanation:

a^2 + b^2 = c^2

2^2 +b^2 = 6^2

square root of (36-4) = b

b= 5.66 feet

Answer:

total number of marbles = 10

number of red marbles = 4

p(blue) = 3/10

number of blue marbles = 3

p(red) = 2/5