5. Which expression is a simplified form of (3x2 + 2x - 4) + (-7x2 + 6x - 2)?
a 10x2 + 8x - 6
b. -4x2 + 8x - 2
C.-4x2 + 8x + 2
d. -4x2 + 8x - 6

A,12/15=4/5

B,20/25=4/5

C,25/30=5/6

D,28/35=4/5

=> C

Answer:

(2,7)

Step-by-step explanation:

Given:

On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex].

To find:

The value of [tex]\theta[/tex].

Solution:

If the terminal point of θ is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

On a unit circle, the terminal point of θ is [tex]\left(\dfrac{\sqrt{2}}{2},\dfrac{\sqrt{2}}{2}\right)[/tex]. So,

[tex]\tan \theta=\dfrac{\dfrac{\sqrt{2}}{2}}{\dfrac{\sqrt{2}}{2}}[/tex]

[tex]\tan \theta=1[/tex]

[tex]\tan \theta=\tan \dfrac{\pi}{4}[/tex]

[tex]\theta=\dfrac{\pi}{4}[/tex]

Therefore, the correct option is D.

Answer:

[tex]Ratio = 7:6[/tex]

Step-by-step explanation:

Given

Initially

[tex]Joe = 12oz[/tex] -- coffee

[tex]JoAnn = 12oz[/tex] -- coffee

Joe drank 2oz coffee; So, we have:

[tex]Joe = 12oz - 2oz[/tex]

[tex]Joe = 10oz[/tex] --- coffee

Joe added 2oz cream; So, we have:

[tex]Joe = 10oz[/tex] --- coffee     [tex]Joe = 2oz[/tex] --- cream

JoAnn added 2oz cream and stirred. So, we have:

[tex]Joe = 12oz[/tex] --- coffee     [tex]JoAnn = 2oz[/tex] --- cream

[tex]Total = 14oz[/tex]

JoAnn drank 2oz from the drink; the amount of drink JoAnn drank is:

[tex]JoAnn = \frac{Cream}{Total}[/tex]

[tex]JoAnn = \frac{2}{14}[/tex]

[tex]JoAnn = \frac{1}{7}[/tex]

Amount of cream left is:

[tex]Amount = [1- \frac{1}{7}] *2[/tex]

Take LCM

[tex]Amount = [\frac{7-1}{7}] * 2oz[/tex]

[tex]Amount = \frac{6}{7} * 2oz[/tex]

[tex]Amount = \frac{12}{7}oz[/tex]

So, we have:

[tex]Joe = 2oz[/tex] --- cream

[tex]JoAnn = \frac{12}{7}[/tex] cream

The ratio is:

[tex]Ratio = 2:\frac{12}{7}[/tex]

Multiply by 7

[tex]Ratio = 14:12[/tex]

Divide by 2

[tex]Ratio = 7:6[/tex]

Answer:

Answer is C) V= <-54,21>

Step-by-step explanation:

Compenent form of v is <-54,21>

Answer:

y = 3/2x-3 vs. y = 2x-3

Step-by-step explanation:

2y=3x-6  ------ y = 3/2x-3

As we know, The volume of the square prism is twice the volume of the cylinder

To determine the relationship between the volume of the square prism and that of the cylinder, we need to find both volumes.

The volume of the square prism is V = Ah where A is the cross-sectional area and h its height. Since A = 314 square units,

V = 314 × h = 314h

Also, the volume of the cylinder is V = A'h where A' is the cross-sectional area of the cylinder and h' its height. Since the A' = 50π square units,

V' = 50π × h' = 50πh'

The ratio of the volume of the square prism to that of the cylindrical prism is V/V' = 314h/50πh'

Since the height of the square prism equals that of the cylinder, h = h'.

So, V/V' = 314h/50πh .

V/V' = 314/50π

if we take π = 3.14,

V/V' = 314/(50 × 3.14)

V/V' = 100/50

V/V' = 2

So, V = 2V'

Thus, the volume of the square prism is twice the volume of the cylinder.

So, the answer is D.

Learn more about square prisms and cylinders here:

https://brainly.com/question/23245822

Answer:

D. The volume of the square prism is twice the volume of the cylinder.

Step-by-step explanation:

took the test, got it right, comment below if you would like a step by step explanation

Answer:

Step-by-step explanation:

I answered your question in #24317186. Apparently you asked it twice and no one helped you yesterday.

Answer:

4

Step-by-step explanation:

The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.

Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

Answer:

a. Smart Dot Company: C = 12 + 0.5·t

Communications Plus: C = 2.5·t

b. Please find attached the required tables created using MS Excel cell function tool

c. Please find attached the graph of both relationship created on the same grid with

Step-by-step explanation:

a. The monthly cost of the Smart Dot Company = $12

The hourly cost for internet use on Smart Dot Company = $0.50

The hourly cost of using the Communications Plus = $2.50

Therefore, the total monthly cost, C, for the duration of hours used, t, is given as follows;

Smart Dot Company: C = 12 + 0.5·t

Communication Plus: C = 2.5·t

b. The table of values are created using MS Excel as follows;

[tex]\begin{array}{ll}Smart \ Dot \ Company&\\Time \ (hours)&Cost \ (dollars)\\0&12\\2&13\\4&14\\6&15\\8&16\\10&17\end{array}[/tex]    [tex]\begin{array}{ll}Communications\ \ Plus&\\Time \ (hours)&Cost \ (dollars)\\0&0\\2&5\\4&10\\6&15\\8&20\\10&25\end{array}[/tex]

c. Please find attached the graph of both relationship created on the same grid with MS Excel

Answer:

The answer is B and C.

Answer: B AND C

Step-by-step explanation:

Remote interior angles are angles that are opposite from the exterior angles (5 in this case).

Answer:

[tex]{7a^{5}b^{5} c\\[/tex]

Step-by-step explanation:

 [tex]\frac{28a^{8}b^{6} c^{3} }{4a^{3}bc^{2} }[/tex]

→ First look at the first term of each expression and see if they can be simplified, and they can

[tex]\frac{7a^{8}b^{6} c^{3} }{a^{3}bc^{2} }[/tex]

→ Now look at the a terms, since a larger one is at the top, you subtract

[tex]\frac{7a^{5}b^{6} c^{3} }{bc^{2} }[/tex]

→ Now simplify the b and c terms

[tex]{7a^{5}b^{5} c[/tex]

Answer:

6^2 = 36

Step-by-step explanation:

10^2 = 10 * 10 = 100

4^3 = 4 * 4 * 4 = 64

10^2 - 4^3= 100 - 64 = 36 = 6^2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]6^2[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

eşnatto eşmatoroorlfld

Answer:

Now , Piyush age =3+Honey age

Step-by-step explanation:

Honey age=x

Piyush age=y

1 year ago,Honey age=x-1

Piyush age=y-1

the ratio of Honey and Piyush age=2:3

x-1:y-1=2:3

x-1/y-1=2/3

3(x-1)=2(y-1)

3x-3=2y-2

3x-2y= -2+3

3x-2y=1 eq _1

after 5 years from now,

Honey age=x+5

Piyush age=y+5

the ratio of them=4:5

x+5/y+5=4/5

5(x+5) =4(y+5)

5x+25=4y+20

5x-4y=20-25

5x-4y=-5 _eq2

eq1and 2_

5x-4y= -5

3x-2y= 1

-

2x-2y=-6

x-y =-3

-y=-3-x

y=3+x

Answer:

Solution given:

16+28=44

(4+7)=11

Answer:

The solution is 4

Step-by-step explanation:

Step 1:  Find the correct answer

I'm not really sure what you are asking but I will give it a shot.

16 + 28 = ___ (4 + 7)

44 = ___ (11)

44 / 11 = ___ (11) / 11

4 = ___

Answer:  The solution is 4

Answer:

Correct option is

C

Rs.8000

SP=xRs

CP=(0.8x+600)Rs

P%=14

7

2

%

SP=

100

CP(100+P%)

x=

100

(0.8x+600)(100+

7

100

)

x=

7×100

(0.8x+600)(800)

700x=640x+480,000

x=8,000

Answer:

155 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:

360-65-95-45

= 155

Therefore, the measure of the fourth angle is 155 degrees.

I hope this helps!

Answer:

155 degrees

Step-by-step explanation:

A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle

360=65+95+45+x

360=205+x

x=155

Answer:

y(5y +2) -3a²

Step-by-step explanation:

that is the solution above

Answer:

1.00 am

Step-by-step explanation:

Find the LCM of 12,18,20 and 25

=900 min ....change it to hrs =15 hrs

10.00am___1000hrs

1000hrs+15hrs

=0100hrs

=1:00 am

2

[tex]\\ \sf\longmapsto 5.5\times 10^3[/tex]

[tex]\\ \sf\longmapsto 55\times 10^4[/tex]

We know

Hence number of significant figures is 2

9514 1404 393

Answer:

  2

Step-by-step explanation:

When a number is written in scientific notation, all of the digits of the mantissa are considered significant. The mantissa is 5.5, which has 2 digits.

There are 2 significant digits in the number.

Answer:

wx/5

Step-by-step explanation:

Divide the denominator and the numerator by 7y.

Answer:

wx / 5

Step-by-step explanation:

here..

7wxy / 35y

7/35 is 1/5

and wxy /y is wx as we can cancel out y

thus..

7wxy/35y = wx/5

Answer:

$1,463

Step-by-step explanation:

38.50x38=1,463

[tex]\huge\bold\color{blue}{⁂Answer:}[/tex]

[tex]\bold{ - \frac{6 \sqrt{x} - x - 9 }{2(x - 9)} }[/tex]

#CarryOnLearning

[tex]\bold\color{red}{༄Fairy \: Elfꨄ︎}[/tex]

Answer:

Step-by-step explanation:

Answer:

[tex]-\frac{3p^8}{4q^3}[/tex]

Step-by-step explanation:

One is given the following expression,

[tex]\frac{15p^-^4q^-^6}{-20p^-^1^2q^-^3}[/tex]

Since (15) and (-20) are both divisible by (5), one can divide both terms by (5) to simplify it.

[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]

Now bring all of the terms with a negative exponent to the numerator. Multiply the exponents by (-1), then add them to the exponents of the like term in the numerator. Simplify the resulting exponents

[tex]\frac{3p^-^4q^-^6}{-4p^-^1^2q^-^3}[/tex]

[tex]\frac{3p^-^4^+^(^-^1^)^(^-^1^2^)q^-^6^+^(^-^1^)^(^-^3^)}{-4}[/tex]

[tex]\frac{3p^-^4^+^1^2q^-^6^+^3}{-4}[/tex]

[tex]\frac{3p^8q^-^3}{-4}[/tex]

Rewrite the fraction such that there are no negative exponents. Remember the rule, when bringing a number from the numerator to the denominator and back, multiply the exponent of the number by (-1). One can only switch numbers between the numerator and the denominator when all operations are multiplication or division.

[tex]\frac{3p^8q^-^3}{-4}[/tex]

[tex]-\frac{3p^8}{4q^3}[/tex]

Answer:

it's 64..............