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
Vitek1552 [10]
3 years ago
14

Find the exact solution to the equation. 7-log2(x+5) = 6

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer:

x = -3

Step-by-step explanation:

You can try the answers to see which works. Or, you can actually solve the equation for x.

... 7 - log2(x+5) = 6

... 1 - log2(x+5) = 0 . . . . subtract 6

... 1 = log2(x+5) . . . . . . . add log2(x+5)

... 2 = x +5 . . . . . . . . . . . take the antilog

... -3 = x . . . . . . . . . . . . . subtract 5

You might be interested in
HELP PLZ WILL GIVE BRAINLIEST
makkiz [27]
I find it easier just to graph this sort of question rather than multiply it all out.

x = 3.5

_____
(x^2 +2x +1) -(x^2 -6x +9) = 20
.. 8x -8 = 20
.. x = 28/8 = 3.5

5 0
4 years ago
Find the volume of the given prism. Round to the nearest tenth if necessary.
Novay_Z [31]

Given:

The base of the prism is a right triangle with legs 1 m and 2 m.

The height of the prism is 17 m.

To find:

The volume of the given prism.

Solution:

The area of a triangle is:

Area=\dfrac{1}{2}\times base\times height

So, the area of base of the prism is:

Area=\dfrac{1}{2}\times 1\times 2

Area=1

Now, the volume of the prism is:

V=Bh

Where, B is the base area and h is the height of the prism.

Substituting B=1,h=17, we get

V=(1)(17)

V=17

The volume of the prism is 17 cubic m. Therefore, the correct option is (d).

7 0
3 years ago
A car traveled 187 miles in 4 hours and 16 minutes. What was the average speed of the car in miles per
Bas_tet [7]

Answer:

43.83mph

step-by-step-explanation

4 0
3 years ago
A Normal model states that if we draw repeated random samples of the same​ size, n, from some population and measure sample​ pro
notka56 [123]

Answer:

1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied

2) 10% condition: We assume that the random sample selected is less than 10% of the population size

3) Success/ Failure condition:

For this case we need to satisfy this:

np \geq 10, n(1-p)\geq 10

So since the condition 1 and 2 are satisfied the correct option for this case would be:

a)np and nq must be respectively at least equal to 10

Step-by-step explanation:

Assuming the following options:

a)np and nq must be respectively at least equal to 10

b) as n increases, the distribution of sample proportions becomes less Normal

c) np and nq must be respectively less than 10

d) np plus nq must be at least 10.

For this case we need 3 basic conditions:

1) Randomization condition: We assume that we are selecting random samples so this condition is satisfied

2) 10% condition: We assume that the random sample selected is less than 10% of the population size

3) Success/ Failure condition:

For this case we need to satisfy this:

np \geq 10, n(1-p)\geq 10

So since the condition 1 and 2 are satisfied the correct option for this case would be:

a)np and nq must be respectively at least equal to 10

8 0
3 years ago
1.5x - (x + 3) = 1/3 (9x + 18) - 5
Marysya12 [62]

Answer:

x = -1.6

Step-by-step explanation:

.5x - 3 = 3x + 6 - 5

.5x - 3 = 3x +1

-2.5x = 4

x = -1.6

7 0
3 years ago
Read 2 more answers
Other questions:
  • Which fraction is the greatest (represents the largest quantity) 1/3 3/8 2/5 1/2?
    13·1 answer
  • Is 0.5r-5 and 0.5(r-10) equal
    14·1 answer
  • The graph represents the atmospheric pressure, in ounces per square centimeter, as a function of altitude in kilometers above se
    13·2 answers
  • Solve for x in the equation x² + 2x + 1 = 17
    8·1 answer
  • What proves they are inverse
    15·1 answer
  • Which container holds more, The cylinder of the triangular prism?
    12·1 answer
  • How do u know when to use solving by square roots
    10·1 answer
  • A gym membership is advertised to cost $630 per year.What is the cost per month of the gym memebership
    8·2 answers
  • Please help<br> if x = 3 and y=-4 find x2 + y2 and x2 -y2
    13·1 answer
  • Find the total surface area
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!