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oee [108]
3 years ago
12

Write 4x = 1024 in logarithmic form. A) logx1024 = 4 B) log41024 = x C) logx4 = 1024 D) log10241024 = x

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0
<span>The answer would be B) log4 1024 = x

The logarithmic form can be explained as

</span>log_{A}<span> B=C   -----> A^C=B

Using </span>A^C=B to the question (4^x=1024) will result
A=4
B=1024
C=x

If you put the variable into logarithmic form
log_{A} B=C
log_{4} 1024= x
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Find the general solution of the differential equation. (Use C for any needed constant.) dy dx = 1 − y
daser333 [38]

Answer:

Step-by-step explanation:

Give the DE

dy/dx = 1-y

Using variable separable method

dy = (1-y)dx

dx = dy/(1-y)

Integrate both sides

 ∫dx =  ∫dy/(1-y)

 ∫dy/(1-y)=  ∫dx

-ln(1-y) = x+C

ln(1-y)^-1 = x+C

Apply e to both sides

e^ln(1-y)^-1 = e^,(x+C)

(1-y)^-1 = Ce^x

1/(1-y) = Ce^x

4 0
3 years ago
A model of a car has a scale of 3 cm : 2 m. The length of the actual hood of the car is 1 m. What is the length of the hood of t
Lubov Fominskaja [6]
So basically 3cm is the model and 2 m is the actual size. So the hood is 1m so it is half of 2m which means the answer to the question is 1.5cm
6 0
3 years ago
A cone and a cylinder have equal radius, r, and equal altitudes, h. If the slant height of the cone is l, then the ratio of the
77julia77 [94]

Given:

radius of cone = r

height of cone = h

radius of cylinder = r

height of cylinder = h

slant height of cone = l

Solution

The lateral area (A) of a cone can be found using the formula:

A\text{ = }\pi rl

where r is the radius and l is the slant height

The lateral area (A) of a cylinder can be found using the formula:

A\text{ = 2}\pi rh

The ratio of the lateral area of the cone to the lateral area of the cylinder is:

\pi rl\text{ : 2}\pi rh

Canceling out, we have:

\begin{gathered} =\frac{\pi rl}{2\pi rh} \\ =\text{ }\frac{l}{2h}\text{  or l:2h} \end{gathered}

Hence the Answer is option B

3 0
1 year ago
N
sergeinik [125]

Answer: (0,4)

Step-by-step explanation:

3 0
2 years ago
1. Solve the equation. 2. Check your solution. k÷3=21
Sedaia [141]

Answer:

k = 63

Step-by-step explanation:

3 x 21 = 63

8 0
3 years ago
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