Solve the equation 9x^2 + 8x – 5 = 3x^2to the nearest tenth.

Answer:

16.2 cm

Step-by-step explanation:

use the pythagoran theorem

a² + b² = c²

15² + 6² = c²

225 + 36 = c²

261 = c²

Take the square root of both sides

16.1554944214 = c

Rounded

16.2 cm

Answer:

150

Step-by-step explanation:

angles in a triangle add up to 180 degrees

angles on a straight line add up to 180 degrees

Answer:

136 mm²

Step-by-step explanation:

[tex]A=a^{2} +2a\sqrt{\frac{a^{2} }{4} } +h^{2}[/tex]

[tex]A=6^{2} +2(6)\sqrt{\frac{6^{2} }{4} } +8^{2}[/tex]

[tex]A=36 +12\sqrt{\frac{36 }{4} } +64[/tex]

[tex]A=36 +12\sqrt{9 } +64[/tex]

[tex]A=36 +12(3)+64[/tex]

[tex]A=36 +36+64[/tex]

A = 136

Answer:

OK

Step-by-step explanation:

The first screenshot is for #7 and the second screenshot is for #8

Answer:

compounded daily as this added up would be the best

Step-by-step explanation:

Answer:

A ≈ 346.36

Step-by-step explanation:

To find the answer, you must use the formula, A=πr²

Since only the diameter was provided, you need to divide it by 2 to find the radius. 21 divided by 2 equals 10.5, so that will be your radius.

Another formula that can be used while using only the diameter would be A= 1/4 π d²

Answer:

(x - 6)^2 + (y + 4)^2 = 4

Step-by-step explanation:

formula for a circle

( x - h )^2 + ( y - k )^2 = r^2

(h,k) is the center

r is the radius

(6,-4) is center

2 is radius

Substitute in numbers and watch the negatives.

Answer:

16.7

Step-by-step explanation:

We can use the Pythagorean theorem, a^2 + b^2 = c^2.

a = 11

c = 20

11^2 + b^2 = 20^2

121 + b^2 = 400

b^2 = 279

b = sqrt(279) = 16.7

Answer:

none of the above

Step-by-step explanation:

180-124=56

Answer: 135.8

Step-by-step explanation:

the formula for this is πr²H/3

π4.4^2x6.7/3

407.5/3

135.8

Answer:

40x - 300,000

7,500

Step-by-step explanation:

profit  = revenue - cost

p(x) = 75x - (35x + 300,000)

p(x) = 40x - 300,000

Break even is when profit is zero

40x - 300,000 = 0

40x = 300,000

x = 7,500

The functions that represents the​ total-profit function would be p(x) = 40x - 300,000. so the correct option is A.

Function is a type of relation, or rule, that maps one input to specific single output.

Given that for a certain company ​C(x) =35x+300,000 represents; the total cost​ function, and ​R(x)=75x represents the total revenue function.

WE can calculate the profit by the following formula;

Profit  = revenue - cost

p(x) = 75x - (35x + 300,000)

p(x) = 40x - 300,000

Now Break even is when profit is zero,

40x - 300,000 = 0

40x = 300,000

x = 7,500

Hence, the break-even point is 7500.

Therefore,  the functions that represents the​ total-profit function would be p(x) = 40x - 300,000. so the correct option is A.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ2

Answer:

Option 3 (C)

Step-by-step explanation:

It is the only one that changes the same amount every time ( times 2 )

Answer:

84 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the length of the base and h is the height

A = 1/2 ( 5+9) * 12

A = 1/2 (14) * 12

A =84

The correct statement is:

The poll should not be trusted since it has a margin of error attached to it.

Given,

Candidate A is leading with 53% of the vote. In small print at the bottom of the graphic, it says +4.9%.

Now,

Candidate A cannot be predicted as the winner because the percentage of voters is between 48.1% and 57.9%.

The 4.9% represents the margin of error for the poll, meaning that the actual percentage of voters who support candidate A could be up to 4.9% higher or lower than the reported 53%. Therefore, it is impossible to predict the winner of the election based solely on this poll.

Know more about percentages,

https://brainly.com/question/14801224

#SPJ2

Answer:

5 is the answer. hhhjjh y fl jj g gshwhwjqjajajw

Answer:

c

Step-by-step explanation:

it's 5

Answer:

90,000 ways

Step-by-step explanation:

9 × 10 × 10 × 10 × 10 = 90,000

Answer:

Response Bias

Explanation:

Response bias occurs when participants in a research study have a tendency to reply falsely to research surveys. It is mainly caused by poor survey design, example ambiguous use of likert scale in survey questions. In this case, participants have a pre-recorded response to survey questions which would not accurately represent the population as participant replies are likely to be false.

Answer:

b open down and have a maximum

Step-by-step explanation:

A negative value for a will make the quadratic function open down

A downward facing parabola will have a maximum

Answer:

2y - 9

Step-by-step explanation:

number = y

2 × y - 9

2 × y can be simplified to 2y.

2y - 9

Answer:

It is a sequence topic.

The general term of the sequence is 25+3(n-1) where n is the number of the term (here it is the row no.)

So the 20th term is the term with n=20. Substitute n=20 into the above general term, we will get 25+3(20-1) .

Please go on by yourself to work out the answer.

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

using SOHCAHTOA

[tex]sin = \frac{opposite}{hypoteneus} [/tex]

Therefore

[tex]sin = \frac{3}{5} [/tex]

The value of sin B is 3/5.

Trigonometry is one of the branches of mathematics which deals with the relationship between the sides of a triangle (right triangle) with its angles. There are 6 trigonometric functions for which the relation between sides and angles are defined.

We have,

P = 3

B = 4

H = 5

Using Trigonometry

sin B = P /H

sin B = 3/5

Thus, the value of sin B is 3/5.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer:

(40,2700)

Step-by-step explanation:

Given

[tex]D(p)=3500-20p[/tex]

[tex]S(p)=2500+5p[/tex]

Required

The equilibrium point

To do this, we have:

[tex]D(p) = S(p)[/tex]

So, we have:

[tex]2500+5p = 3500-20p[/tex]

Collect like terms

[tex]20p+5p = 3500-2500[/tex]

[tex]25p = 1000[/tex]

Divide both sides by 25

[tex]p = 40[/tex]

Substitute [tex]p = 40[/tex] in [tex]D(p)=3500-20p[/tex]

[tex]D(40) = 3500 - 20 * 40[/tex]

[tex]D(40) = 2700[/tex]

Hence, the coordinates of the equilibrium is: (40,2700)

[tex]\longrightarrow{\green{ D. \:3 {a}^{4} \sqrt{2a} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \sqrt{18 {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times 3 \times 3 \times {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times ({3})^{2} \times {( {a}^{4}) }^{2} a } \\ \\ [∵( { {a}^{4} )}^{2} a = {a}^{4 \times 2 + 1} = {a}^{9}] \\ \\ ➝ \: 3 \times {a}^{4} \sqrt{2a} \\ \\ ➝ \: 3 {a}^{4} \sqrt{2a} [/tex]

[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

The answer is [tex]3a^{4}\sqrt{2a}[/tex]

Step-by-step explanation:

To simplify the radical, start by factoring 9 out of 18 for step 1. Next, for step 2, rewrite 9 as [tex]3^{2}[/tex]. Then, factor out [tex]a^{8}[/tex] for step 3. For step 4, rewrite [tex]a^{8}[/tex] as [tex](a^{4})^{2}[/tex]. Then, for step 5, move the 2 in the radical. Rewrite [tex]3^{2}(a^{4})^{2}[/tex]as [tex](3a^{4})^{2}[/tex] for step 6. Then, add parentheses to the radical for step 7. Finally, for step 8 pull the terms out from under the radical, and the answer is [tex]3a^{4}\sqrt{2a}[/tex].  

Step 1: [tex]\sqrt{9(2)a^{9} }[/tex]

Step 2: [tex]\sqrt{3^{2}*2a^{9}[/tex]

Step 3:  [tex]\sqrt{3^{2}*2(a^{8}a) }[/tex]

Step 4: [tex]\sqrt{3^{2}*2((a^{4})^{2}) }[/tex]

Step 5: [tex]\sqrt{3^{2}(a^{4})^{2}*2a }[/tex]

Step 6: [tex]\sqrt{(3a^{4} )^{2}*2a }[/tex]

Step 7:  [tex]\sqrt{(3a^{4})^{2}*(2a) }[/tex]

Step 8: [tex]3a^{4}\sqrt{2a}[/tex]

Answer:

Sylvia=16

brother=8

Step-by-step explanation:

8+7=15

16-1=15

Answer:

x = 16

Step-by-step explanation:

4x - 2 = 3x + 14

4x - 2 + 2 = 3x + 14 + 2

4x = 3x + 16

4x - 3x = 3x - 3x + 16

x = 16

Answer:

A option

Step-by-step explanation:

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

Answer:

Option C: 39

Step-by-step explanation:

I'm good at math :)

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

Work Shown:

u = (5, -12)

cu = c*(5,-12)

cu = (5c, -12c)

cu = (5*(-3), -12*(-3))

cu = (-15, 36)

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

Now we'll use the idea that if u = (a,b), then |u| = sqrt(a^2+b^2)

So this means,

cu = (-15, 36)

|cu| = sqrt( (-15)^2 + (36)^2 )

|cu| = sqrt(1521)

|cu| = 39

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

Note how vector u = (5,-12) has magnitude 13 after applying that formula above. We have a 5-12-13 right triangle. If we triple each side, then the 5-12-13 becomes 15-36-39

Tripling the components of the vector means the length of the vector has been tripled.

don't understand your question