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velikii [3]
2 years ago
11

Help please show work please

Mathematics
2 answers:
stepan [7]2 years ago
7 0
Answer : 4

(2)^4 = 2*2*2*2 = 16
16/4 = 4

melisa1 [442]2 years ago
3 0

Answer:

4

Step-by-step explanation:

\frac{b^{4}}{4} = \frac{2^{4}}{2^{2}}=2^{4-2}=  2^{2}=4

\frac{b^{4}}{4} = \frac{2^{4}}{4}=\frac{4^{2}}{4}= \frac{16}{4}= 4

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What is the quotient of 1.728 x 109 and 4.8 x 106 expressed in scientific notation?​
fenix001 [56]

Step-by-step explanation:

\to 1,728 \times {10}^{9}

= 1,728 \times {10}^{9}

= 1,728 \times 1.000.000.000

= 1.728.000.000

1,728 \times {10}^{9} = 1.728.000.000

\:

\to 4,8 \times {10}^{6}

= 4,8 \times {10}^{6}

= 4,8 \times 1.000.000

= 4.800.000

4,8 \times {10}^{6} = 4.800.000

4 0
2 years ago
A thermometer is taken from a room where the temperature is 24oc to the outdoors, where the temperature is −15oc. After one minu
kap26 [50]

Solution:

Use Newton's Law of Cooling.  


T = T_s + (T_0 - T_s)*e^(-kt)  


where  

T = temperature at any instant  

T_s = temperature of surroundings  

T_0 = original temperature  

t = elapsed time  

k = constant  


Now, we need to find this constant. We are given that after one hour, the temperature drops to 13° C in a 7°C Environment.  

T = 14, T_0 = 24, T_s = -15, t = 1, k = ?  

T = T_s + (T_0 - T_s)*e^(-kt)  

==> 14 = -15 + (24 - 7)*e^(-k)  

==> 14 = 7 + 17*e^(-k)  

==> 7 = 17*e^(-k)  

==> 7/13 = e^(-k)  

==> -k = ln(7/17)  

==> k = -ln(7/17) ≈ 0.774  

Now,


Let's calculate temperatures!  

T = ?, T_0 = 24, T_s = -15, k = 0.773, t = 3  

T = T_s + (T_0 - T_s)*e^(-kt)  

==> T = -15 + (24 –(-15))*e^[ -(0.774)(2) ]  

==> T = -15 + 39*e^(-1.548)  

==> T ≈ 15.72° C  

This the required answer.


7 0
3 years ago
What is the value of x?
andrey2020 [161]

Answer:

x = 30°.

Step-by-step explanation:

To calculate the value of 'x', we can first derive the value of one of the angles that make up the triangle.

Notice that there is an angle with a measure of 100°. The angle that makes up the angle of the triangle is called a Vertical Angle. Therefore, if the angle in red is 100°, the vertical angle, or the third angle of the triangle, is 100°.

There are two congruent sides to the triangle, as seen by the congruent lines. This means that both of the other two angles must be equal. Find the value of 'x' by:

180 - 100 = 80. Since the value of one angle was 100°, and the angles in a triangle must add up to 180°, you can simply subtract to find the sum of the other two angles.

(x + 10) + (x + 10) = 80

2x + 20 = 80

2x = 60

x = 30°.

7 0
3 years ago
Read 2 more answers
the circumference of a circle is 11.4mm. find the length of the diameter. give your answer rounded to 3SF.
kvasek [131]

Answer:

3.627 = d

Step-by-step explanation:

C = 11.4mm

d = ?

C = πd

11.4 = 22/7 × d

cross multiply

11.4 ×7 = 22d

79.8 = 22d

Divide both sides of the equation b 22

79.8/22 = 22d/22

3.627 = d

4 0
3 years ago
I need someone to explain what I did wrong
egoroff_w [7]

Answer:

g(f(4)) = 9

Step-by-step explanation:

Fill in gf(x) for where x is in g(x): (x-7)²

Then, fill in 4 for where x is: (4-7)²

Square it: (-3)²

9

4 0
2 years ago
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