1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olya-2409 [2.1K]
2 years ago
15

Solve for x, rounding to the nearest hundredth.

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
5 0

\sf\huge{Answer :-}

\implies\sf{ {2}^{4x} = 78 }  \\ \implies\sf{ ({2}^{4})^{x}  = 78 } \\  \implies\sf{ {16}^{x} = 78 } \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \implies\sf{ x =  log_{16}(78)  } \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \implies\sf{x = 1.5713505547\: } \\\implies\sf{x = 1.57}

You might be interested in
The King Cobra is a roller coaster. It sells more than 900
Elena-2011 [213]

Answer: The inequality could be t > 900. Draw a number line so it includes 900. Draw an open circle on 900. Shade all the numbers greater than 900, or to the right

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
ASAP PLZ HELP WILL MARK BRAINLIST IF U WANT TO FIRST PERSON WHO ANSWERS RIGHT
photoshop1234 [79]

Answer:

15.0

Step-by-step explanation:

Square root entire equation (-8 - 7)^2 + (-5 + 4)^2

8 0
3 years ago
Read 2 more answers
What numbers rounded to 200,000 when rounded to the nearest hundred thousand
Elanso [62]

Answer:

The answer would be 150,000 to 249,999

7 0
3 years ago
Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other.
Makovka662 [10]
An isosceles triangle is a type of triangle where 2 sides are equal.

Picture out 2 triangles with the same base length. 
On the first triangle, its legs are twice the length of the legs of the second triangle.

To put it into variables, let:
     B = the same base length of the two triangles
     A = the length of one leg the smaller triangle
    2A = the length of one leg of the bigger triangle

Given:    Perimeter of smaller triangle = 23cm
              Perimeter of bigger triangle = 43cm

Recall the formula for solving the perimeter of a triangle:
      Perimeter = A + B + C
   
where, A, B, and C are the legs of the triangle

Since the triangle involved is an isosceles triangle, therefore, we can say that
        Perimeter = 2A + B     ,   2 legs are equal ( A=C )

Substituting the given perimeter value to the formula. 
   
23cm = 2A + B                    ⇒   equation 1  (smaller triangle)
43cm = 2(2A) + B                ⇒   equation 2  (bigger triangle)

Simplifying equation 2.
                                    43cm = 4A + B
  (rearranging)             B = 43cm - 4A        ⇒ equation 3

Substituting equation 3 to equation 1:
   (equation 1)              23cm = 2A + B
                                    23cm = 2A + (43cm - 4A)
                                    23cm = -2A + 43cm
                                    2A = 43cm - 23cm
                                    2A = 20cm  ⇒   length of the leg of the bigger triangle
                                     A = 10cm   ⇒   length of the leg of the smaller triangle

To solve for the base length, just substitute the value of A to equation 3
     (equation 3)       B = 43cm - 4A
                               B = 43cm - 4(10cm)
                               B = 3 cm

Final Answer:

• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm
8 0
3 years ago
The female lion at a zoo weights 190 pounds more than female cheetah.Let c represent the weight in pounds of the cheetah.Wright
garri49 [273]

Answer:

c + 190 = Weight of the lion

Step-by-step explanation:


6 0
2 years ago
Other questions:
  • While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it
    11·1 answer
  • What are the multiples of 7 up to 35
    6·1 answer
  • Reduce as much as possible 4/32
    9·1 answer
  • A cat has 24 whiskers by its nose. A manatee has 25 times as many whiskers.
    12·2 answers
  • There are 95 white pieces of paper in a hat along with 5 blue pieces of paper. What is the theoretical probability that a blind-
    7·1 answer
  • In the library at lenape elementary school there are 2/5 as many fiction books as there are nonfiction books. There are 56 books
    15·1 answer
  • Find the three angles of the triangle formed using the position vectors 2i hat − j + 5k and i hat + 2j + 4k and the line segment
    10·1 answer
  • The graph of an exponential function has
    6·2 answers
  • The product of 7 and b is less than -35.
    8·2 answers
  • 7. Write an equation of the line that passes through the points (1, 4) and (-2, 10), in point-slope form. ​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!