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Doss [256]
2 years ago
12

Could you explain how to solve this problem? 10n = 40

Mathematics
2 answers:
kondor19780726 [428]2 years ago
8 0

Answer:

n=4

Step-by-step explanation:

n is 4 because 10(4)=40 the n represents a number and because there is nothing in between we know to multiply them, because we know that do the opposite of the question which is 40/10=4 meaning that n=4

irina1246 [14]2 years ago
7 0
Since were trying to solve for n, you have to isolate it so you would divide both sides by 10, and that will give you n = 4
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Which is the graph of f(x) = log3x?.
valentinak56 [21]

Logarithm functions are the inverses of the exponential function the graph of the given function is attached in the given image.

The points for the given function are (1,0) (3,1) and (9,2)

Given that

Function; \rm  f(x) = log3x

We have to determine

The graph of the function f(x).

According to the question

The logarithmic function is the inverse of the exponential function.

Function; \rm  f(x) = log_3x

To plot the graph of the given function we have to find the asymptotes;

Vertical asymptote at x =0

The point at x= 1 is,

\rm f(1) = log_3(1)\\\\f(1)=log_33\\\\f(1)=1

The point at x= 3 is,

\rm f(3) = log_3(3)\\\\f(3)=log_33\\\\f(3)=1

The point at x= 9 is,

\rm f(9) = log_3(9)\\\\f(9)=3log_33\\\\f(9)=3\times 1\\\\ f(9)=3

Hence, the points for the given function are (1,0) (3,1) and (9,2).

To know more about the Exponential function given below.

brainly.com/question/3653847

5 0
2 years ago
A road map has a scale of 5 cm = 1 km. If two towns are actually 15.5 km apart, how far apart are they on the map scale?
tatiyna

Answer:

77.5 cm

Step-by-step explanation:

15.5km* 5 cm on map/ 1 actual km= so 77.5 cm

if my answer helps please mark as brainliest.

5 0
3 years ago
in isosceles triangle the length of a leg is 17 cm, the vase is 16 cm. find the length of the altitude to the base
bogdanovich [222]

Answer:

15 cm

Step-by-step explanation:

The altitude is one leg of the right triangle formed by the altitude, half the base, and the triangle side. The Pythagorean theorem applies, so you have ...

... (17 cm)² = (altitude)² + (16 cm/2)²

... altitude = √(17² -8²) cm = √225 cm

... altitude = 15 cm

8 0
3 years ago
A teacher teaches 8 students how to fold an origami model. Each of these students goes on to teach 8
valentina_108 [34]

Answer:

8x8= 64

64x6= 384

384 is the answer

Let me know if i helped!

8 0
2 years ago
A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed num
katovenus [111]

Answer:

8 feet

Step-by-step explanation:

Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.

Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.

  • 2(2 1/3) + 2(1 3/4) = perimeter of rectangle

To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.

  • 2 1/3 ⇒ 7/3
  • 1 3/4 ⇒ 7/4

Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.

  • 2(7/3) + 2(7/4)
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To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.

  • 14/3 (4/4) = 56/12
  • 14/4 (3/3) = 42/12

Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.

  • 54/12 + 42/12 = 96/12

You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.

  • 96/12 = 8

The perimeter of the rectangle is 8 feet.

7 0
3 years ago
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