The temperature outside dropped 13 degress in 7 hours. The final temperature was -2 degrees. What was the starting temperature

Answer:

First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.

The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.

You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0

You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6

−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.

Step-by-step explanation:

I THINK IT HELP U

Answer:

49 < 52

Step-by-step explanation:

3½ + 4⅔ = 52

convert the mixed fraction to improper fraction

7/2 + 14/3 = 52 LCM=6

multiply yhrough by the LCM

(7/2)*6 +(14/3)*6 = 52

21 + 28 = 52

49 < 52

9514 1404 393

Answer:

  3 1/30

Step-by-step explanation:

Maybe you want to find ...

  [tex]\dfrac{3\frac{1}{2}}{5}+\dfrac{4\frac{2}{3}}{2}=\dfrac{7}{2\cdot5}+\dfrac{14}{3\cdot2}\\\\=\dfrac{7\cdot3}{2\cdot3\cdot5}+\dfrac{14\cdot5}{2\cdot3\cdot5}=\dfrac{21+70}{30}=\dfrac{91}{30}=\boxed{3\frac{1}{30}}[/tex]

The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.

An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.

One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.

Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.

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Answer:

Step-by-step explanation:

first one: 1/4

second one: 1/4

last one: 1/4

8 divided by 2=4 and 4 becmes the denominator

the answer is basicallly 1/4

What grade is this btw

Answer:

C. 45%

Step-by-step explanation:

Divide 36 by 80 to get 0.45 (45%)

Hi :)

m is a variable

m is defined as 8.6

substitued m

8.6 + 7.5 = 16.1

Answer:

m+7.5 = ? when m = 8.6

Sub 8.6 in equation for m and you get

8.6 + 7.5 = 16.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

n = 38

a38 = 21 + (38 - 1)*45

a38 = 21 + 37*45

a38 = 21 + 1665

a38 = 1686

Answer:

No

Step-by-step explanation:

Answer:

I guess it would help you ✌

Answer:762 cm

Step-by-step explanation:

There is 2.54cm in an inch so multiply it by 300

There are exactly 81 terms in the sequence.

Start counting with 1 (like non-computer people).

First term is [tex]1=2^0[/tex].

Second term is [tex]2=2^1[/tex].

Third term is [tex]2^2[/tex].

Fourth term is [tex]2^3[/tex].

In general the i-th term is [tex]2^{i - 1}[/tex].

Hope this helps :)

Answer:

[tex]2 \times x = \frac{3}{4} \\ \\ 2x = \frac{3}{4} [/tex]

divide either sides by 2 :

[tex]x = \frac{3}{4} \div 2 \\ \\ x = \frac{3}{4 \times 2} \\ \\ { \boxed{ \boxed{x = \frac{3}{8} }}}[/tex]

Answer:

6

Step-by-step explanation:

If you mean 0-(-6) that's mean 0+6 and the answer will be 6

and if you mean 6-(-0) it's also 6

Answer:

D. The graph of h is the graph of g vertically shifted down 5 units.

Step-by-step explanation:

I assume

g(x) = x²

h(x) = g(x) - 5 = x² - 5

Answer:

-1

Step-by-step explanation:

f(-1) = 2|-1| + 3(-1)

|-1| = 1

=> f(-1) = 2(1) - 3

=> f(-1) = 2 - 3

=> f(-1) = -1

Answer:

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

If f(x) = 2x² + 4x - 2

f(-2) = 2(-2)² + 4(-2) - 2

f(-2) = 2(4) + 4(-2) - 2

f(-2) = 8 - 8 - 2

f(-2) = -2

Answer:

It is -18

Step-by-step explanation:

[tex]f(x) = - 2 {x}^{2} + 4x - 2[/tex]

when x is -2, f(x) is f(-2):

[tex]f( - 2) = - 2 {( - 2)}^{2} + 4( - 2) - 2 \\ \\ f( - 2) = - 8 - 8 - 2 \\ \\ f( - 2) = - 18[/tex]

Answer:

-16,200

Step-by-step explanation:

162×(-92)-(-162)×(-5)-162×3

-14,904 - 810 - 486 = -16,200

Answer:

-16200 is your answer....

Answer:

45.5 milliliters

Step-by-step explanation:

We know that the chemist has 332 milliliters of the solution of acid and water, and 13.7% of that solution is acid.

We can then persume that the amount of acid in the solution is equal to 332ml × 13.7%.

This is equal to 45.484ml.

Then the question states to round the answer to the nearest tenth.

Rounding 45.484ml to the nearest tenth (.1) will equal to 45.5ml.

Therefore, there are 45.5ml of acid in the solution rounded to the nearest tenth.

The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.

Answer:

-1, 0, 1, 2, 3

Step-by-step explanation:

Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2

Option B. 12.9 cm²

Solution

h =Sin(40)*8

S = h*5/2 = 12.85>>12.9 cm2

The area of ​​a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of ​​the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of ​​the triangle.

The area of ​​a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.

Learn more about  triangle at

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Answer:

-29

Step-by-step explanation:

(-14) + (-15) =

-14 - 15 =

-29

Answer:

C!

Step-by-step explanation:

A) can be simplified into -> (x ([tex]\sqrt{3}[/tex] * x - 3*[tex]\sqrt{3y}[/tex])/3)

B) Can be simplified into ([tex]\sqrt{2x}[/tex]/2) + ([tex]\sqrt{2z}[/tex]/2)

D) Can be simplified into 5*[tex]\sqrt{5x}[/tex] - x^2

Therefore, C is the correct answer because it cannot be simplified any further!

Hope this makes sense!!!!

Please give brainliest answer! I wasited for you to delete the answer!

John may cover 2.2 miles on day 6.

The correct answer is option (D)

"It is a pictorial representation of data in an organized manner. "

For given question,

The distance that John covers each day during his morning walks is given in the graph.

From the graph we can observe that the highest value on the graph is 4.

Also the data is symmetrical on the left side and on the right side of the highest value.

We need to predict the distance that John may cover on day 6.

It must be the same as it is at day = 0

At day = 0, the distance is 2.2 miles.

Therefore, John may cover 2.2 miles on day 6.

The correct answer is option (D)

Learn more about prediction from the graph here:

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Answer:

[tex]D = \frac{2}{3} (F+ G) \\ F + G = D \div \frac{2}{3} \\ \\ F+ G = D \times \frac{3}{2} \\ \\ F +G = \frac{3D}{2} \\ \\ G = \frac{3D}{2} - F[/tex]

I hope I helped you^_^

Answer:

9

Step-by-step explanation:

The trinomial square have the following form:

(a - b)²

Expanding this, the result is:

a² -2ab +b²

So, let's put x in place of a and solve it:

x² -2•x•b + b²

Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:

-2x•b = -6x divide both sides by -2x:

b = -3

So -3 complete our trinomial square, and it is:

(x -3)²

Expanding:

x² -6x +9

Answer:

TEXT your teacher

Step-by-step explanation:

Answer:

step by step

take v to divide

r=h/v

Answer:

add 2, add 3, add 4, add 5

Step-by-step explanation:

1+*2=3,3+*3=6,6+*4=10,10+*5=15