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
patriot [66]
3 years ago
5

Solve for X, 3^x + 3^2 = 90​

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

3^x + 3^2 = 90

Simplify the known power:

3^x + 9 = 90

Subtract 9 from both sides:

3^x = 81

Take the cubic root of both sides:

X = 4

You might be interested in
How to work out 5-[5+8÷4-1]
rodikova [14]

PEMDAS (order of operations rules) require that we perform operations in a certain order: anything inside parentheses first, followed by any exponentiation, followed by mult. and div., finally followed by addition and subtraction.

Thus, we must evaluate 5+8÷4-1 first, as it's inside parentheses. Focusing on the division first, we get 5+8÷4-1 = 5 + 2 - 1, or 6.

Then we have 5 - [6], which comes out to -1.

6 0
3 years ago
Read 2 more answers
15. The length of each edge of a regular tetrahedron,
grigory [225]

Slant height of tetrahedron is=6.53cm

Volume of the tetrahedron is=60.35\mathrm{cm}^{3}

Given:

Length of each edge a=8cm

To find:

Slant height and volume of the tetrahedron

<u>Step by Step Explanation: </u>

Solution;

Formula for calculating slant height is given as

Slant height=\sqrt{\frac{2}{3}} a

Where a= length of each edge

Slant height=\sqrt{\frac{2}{3}} \times 8

                     =\sqrt{0.6667} \times 8

                     =0.8165 \times 8=6.53cm

Similarly formula used for calculating volume is given as

Volume of the tetrahedron=\frac{a^{3}}{6 \sqrt{2}}

Substitute the value of a in above equation we get

Volume=\frac{8^{5}}{6 \sqrt{2}}

            =\frac{512}{6 \sqrt{2}}

            =\frac{512}{6 \times 1.414}

Volume=512 / 8.484=60.35\mathrm{cm}^{3}

Result:

Thus the slant height and volume of tetrahedron are 6.53cm and 60.35\mathrm{cm}^{3}

7 0
3 years ago
In an experiment, some diseased mice were randomly divided into two groups. One group was given an experimental drug, and one wa
damaskus [11]

Answer:

D)Yes, because the difference in the means in the actual experiment was more than two standard deviations from 0.

Step-by-step explanation:

We will test the hypothesis on the difference between means.

We have a sample 1 with mean M1=18.2 (drug group) and a sample 2 with mean M2=15.9 (no-drug group).

Then, the difference between means is:

M_d=M_1-M_2=18.2-15.9=2.3

If the standard deviation of the differences of the sample means of the two groups was 1.1 days, the t-statistic can be calculated as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{2.3-(0)}{1.1}=2.09

The critical value for a two tailed test with confidence of 95% (level of significance of 0.05) is t=z=1.96, assuming a large sample.

This is approximately 2 standards deviation (z=2).

The test statistict=2.09 is bigger than the critical value and lies in the rejection region, so the effect is significant. The null hypothesis would be rejected: the difference between means is significant.

4 0
3 years ago
How old would you be today if you were born in 1977?
Montano1993 [528]
Current year is 2016
born year is 1977

old
2016 - 1977
39 years
5 0
4 years ago
Read 2 more answers
Any help would be great!
Virty [35]

Answer:

D

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Other questions:
  • Find the hypotenuse,c, of the triangle!
    6·1 answer
  • What number is 31 less than fifty two million and four?
    5·2 answers
  • A salesperson made a $128 commission selling merchandise. His commission rate was 5%. What is the dollar amount of his sales. Sh
    9·2 answers
  • I´M NOT SURE HOW TO USE THIS INFORMATION / SOLVE AND FILL OUT THE CHART.
    13·1 answer
  • Question 3 (1 point)
    11·1 answer
  • I could use some help on this​
    14·1 answer
  • Which of the following are congruence theorems for right triangles? Check all that apply.
    12·2 answers
  • Help help help help help
    14·1 answer
  • marcia went to lunch her bill was 14.25$ she wants to leave a 20% tip how much money should she leave​
    8·1 answer
  • For points K (-6,6) and P (-3,-2), find the following:m:| m:I m:Distance:Equation of a line 1:
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!