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Answer:

about 440,000

Step-by-step explanation:

Here 438,105 you can round of the 38,000as 40,000 so will get 440,000.

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The solution set is {2, 42} & the extraneous root is 42

If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.

Given equation is,

[tex]2+\sqrt{2x-3}=\sqrt{x+7}[/tex]

Squaring both sides we get,

[tex]2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}[/tex]

⇒ [tex]4+4\sqrt{2x-3} +2x-3=x+7\\[/tex]

⇒ [tex]4\sqrt{2x-3} =6-x[/tex]

Again, squaring both sides we get,

⇒ [tex](4\sqrt{2x-3}) ^{2} =(6-x)^{2}[/tex]

⇒ [tex]16(2x-3)=6^{2} -12x+x^{2}[/tex]

⇒ [tex]32x-48=36-12x+x^{2}[/tex]

⇒ [tex]x^{2} -44x+84=0[/tex]

⇒ [tex]x^{2} -42x-2x+84=0[/tex]

⇒ [tex](x-42)(x-2)=0[/tex]

So, x = 2 & 42

Here extraneous root is 42.

Learn more about extraneous root here :

https://brainly.com/question/658096

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Answer:

Motivational

Step-by-step explanation:

Answer:

18 units over 210 units of time

Step-by-step explanation:

the function reaches its limit at 116 and starts at 0 at -94

|-94|+|116|=210

Answer:

200+60+4

Step-by-step explanation:

200+60+4=264

Answer:

452.16 inches

Step-by-step explanation:

A = pi r^2

A = 3.14 * (12)^2

A = 3.14 * 144

A = 452.16 inches

Answer:

.

Step-by-step explanation:

Answer:

I don't understand the question

Step-by-step explanation:

can you help me with my question The strange occurrences reported by the chambermaid who cleaned Dr. Heidegger's den (In Paragraph 3 of "Dr. Heidegger's Experiment") are examples of A. personification. B. symbolism C. elements of gothic literature, b or c

Answer:

Its perpendicular

Step-by-step explanation:

Because the slopes are recipricles of eachother

Answer:

this is the answer

Step-by-step explanation:

hope this will help you

The angles are adjacent and complementary.

Complementary means they add up to 90 degrees.

3x + 45 = 90

3x = 90 - 55

3x = 45

x = 45/3

x = 15

The value of x is 15 degrees.

Answer:

m<7 = 61

Step-by-step explanation:

These angles (<7, and <8) are adjacent to each other (they are next to each other), therefore they are supplementary (add up to 180).

180 - 119 = m<7

Answer:

Step-by-step explanation:

You should indicate which type of expression are you expecting.

But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x

Answer: x = 150/6 = 25

Step-by-step explanation:

Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)

The value of x is (Choose...4, 11, 12, 19, 20, 25).

To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:

DE/CB = EF/BA

x/10 = 15/6

x = 150/6 = 25

The value of x in the triangle is 25

The triangle are similar.

Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.

Therefore, let's find the value x by establishing the proportion below:

ΔABC ≅ ΔFED

AB / FE = BC / ED = AC / FD

6 / 15 = 10 / x

cross multiply

6x = 150

x = 150 / 6

x = 25

learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults

Answer:

49 and 36

Step-by-step explanation:

49 - 36 = 13

49 + 36 = 85

Answer:solving we get y=6  x+y=85

x-y=13

add the equations

2x=98

x=98/2

x=49

85-49=36

the numbers are 49 and 36

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, [tex]\bar{x}_{1}[/tex] = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, [tex]\bar{x}_{2}[/tex] = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

[tex]\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ [tex]t_{\alpha /2}[/tex] = 3.25

Therefore, we have;

[tex]\mu_1 - \mu_2 = \left (2.007- 2.001 \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}[/tex]

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Answer:

[tex]2\frac{3}{50}[/tex]

Step-by-step explanation:

So 2 would be your whole number

and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50

Answer:

1 1/2 Servings

Step-by-step explanation:

common sense

Answer:5.5

Step-by-step explanation:

1/2*5=2 and 1/2 and 1/2 divided by 2 is 1/4 and 5 1/2+1/4=5 3/4

Answer:

-50

Step-by-step explanation:

Answer:

a = -50

Step-by-step explanation:

-10 = 1/5a

multiply both sides of the equation by 5:

a = -50

I have no idea. Where is the diagram.

Answer:

2.52

Step-by-step explanation:

On edg

Answer:

28

Step-by-step explanation:

Let's set the ratio as

7x : 9x

If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)

So, we can write this equation.

7x + 9x = 48

Simplify.

16x = 48

Divide both sides by 16.

x = 4

Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x

7 * x = 7 * 4 = 28

The number of states that border an ocean is 28.

I hope this helps! Feel free to ask any questions!

Answer:  8.5

Step-by-step explanation:

I just took the quiz last week.

Answer:

Variable x = cost of cookies

Variable y = cost of brownies

System of equations:

2x + 3y = 9.50

10x + 6y = 20.50

Step-by-step explanation:

Variable x: $ cookies

Variable y: $ brownies

2x + 3y = 9.50

10x + 6y = 20.50

I'm not entirely sure how to explain this one, but my best advice is to just take it step by step when doing these problems. Multiple questions can feel overwhelming so just focus on one question at a time.

Answer:

d

Step-by-step explanation: