if loga81=4, find value of a?​

Answers

Answer 1

Answer:

[tex]\huge\boxed{a=4}[/tex]

Step-by-step explanation:

[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]


Related Questions

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error

Answers

Answer:

Explained below.

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

please help!!!!!!!!!!!!! will give brainliest.

Answers

Answer:

x<9 and x>1/13

1/13<x<9

Step-by-step explanation:

First, let's find the value of x in the first equation:

6((x-1)/2-(x-3)/3)<2*6

(3x-3)-(2x-6)<12

3x-3-2x+6<12

x+3<12

x<9

Now, let's find the value of x in the second equation:

13x-1>0

13x>1

x>1/13

Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.

13=b 5=c what is the length of the missing leg

Answers

Answer:

The length of the missing leg is 12

Step-by-step explanation:

Right Triangles

A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.

Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:

[tex]a^2+c^2=b^2[/tex]

We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:

[tex]a^2=b^2-c^2[/tex]

Substituting:

[tex]a^2=13^2-5^2[/tex]

[tex]a^2=169-25=144[/tex]

Solving:

[tex]a=\sqrt{144}=12[/tex]

The length of the missing leg is 12

4/15 ÷ 10/13 pls help me​

Answers

Answer: 26/75

(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)

= (4/15) · (13/10) (Cancel out the common factor of 2)

= (2/15) · (13/5) (Multiply the numerators together and denominators together)

= 26/75

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

where does 17 lie between

Answers

Between 16 and 18. Hope this helps

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.  It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.  It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.

escribe el número igaul a 5 decenas y 13 unidades​

Answers

Answer:

63

Step-by-step explanation:

the sum of two the digits of two number digits is 11 if 45 os subtracted from the number the digits number will be reversed find the number​

Answers

Answer:

11 and 45=34

Step-by-step explanation:

dsnsnafsysjsbdfysjqbscs hi sweets

is 0.03 greater than 0.5

Answers

Answer:

no

Step-by-step explanation:

Please help, I’ve been stuck

Answers

I think the answer is B
I am not sure but I think it’s B

2,76,212+2628 = ______ +2,76,212​

Answers

Answer:

555052

Step-by-step explanation:

d(t) = 50t
The variable t represents?

Answers

Answer:

Time

Step-by-step explanation:

d(t) basically means "distance of time"

please i need some help due in some mins

Answers

the answer is a 0.1 hope this helped

Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours

Answers

Answer:

17

Step-by-step explanation:

3 1/2+3 1/2=5 which is 40 min

5=40mins

5+3 1/2=81/2

1 hour=8 1/12

8 1/2+8 1/2= 17

17 in two hours

A light bulb consumes 3450 watt-hours-in 5 days and 18 hours. How many watt-hours does it consume per day

Answers

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours

600watt hours <–––––––

Answer:

5 days = 5 * 24 = 120 hours

120 + 18 = 138hours

3450/138 * 24 = 600 watt hours  

600watt hours

write model expression to show how much longer the round-trip to san diego is than the round trip to san jose. how many term does the expression have

Answers

Answer:

Product of 6 and a number. y÷9.

Pls help I don’t know how to do this.

Answers

Answer:

If they are across from each other the angles are the same so divide 81 by 3 and thats your x value, so its 27

I will mark who ever right brainliest

Answers

Answer: answer is 155

Step-by-step explanation:

the answer is 2) $155

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?

a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F

(Type an integer or a decimal. Do not round)

Answers

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

15,614+?=68,025
What is the total

Answers

Answer:

52411 that's the answer

A rectangular prism has dimensions of 2 cm by 2 cm by 5 cm.
What is its surface area?
Show your reasoning.
I got 48 cm2

Answers

Answer:

i got 48

Step-by-step explanation:

2(5*2)

2(2*5)

2(2*2)

What is 6cm into inches

Answers

Answer:

2.3622

Step-by-step explanation:

Write an equation to find the nth term of each sequence.
7, 13, 19, 25....

Answers

Answer:

6n+1

Step-by-step explanation:

n=term#

-9|-x+5|=0
Solve for x.

Answers

Answer:

x=5

Step-by-step explanation:

-9|-x+5|=0

Divide by -9

|-x+5|=0

The are normally two solutions, one positive and one negative, but +0=-0=0

-x+5 =0

Add x to each side

-x+5+x =0+x

5 =x

A circle has a diameter of 18 inches. If 1 inch is approximately 2.54 centimeters, what is the diameter in centimeters?
A) 5.9 centimeters
B) 45.7 centimeters
C) 20.5 centimeters
D) 42.3 centimeters

Answers

Option b 45.7 is the answer

Follow the steps to find the value of x
1.Addition property of equality.
1/5(x)-2/3=4/3
1/5(x)-2/3+2/3=4/3+2/3
2.Multiplicative property if equality.
1/5(x)5/1=6/3(5/1)
The solution is x=

Answers

Then you get 1/5x = 2
X= 10

Answer:

its 10

Step-by-step explanation:

I got it right

rx:
x – 6 = -3x + 22

Answers

Answer:

X= 7

Step-by-step explanation:

X + 3x = 22 + 6
4x = 28
X = 7

The US emerged as a world power because of its success in
A. the Korean War
B. World War I
C. World War II
D. the Cold War

Answers

Answer:

its c

Step-by-step explanation:

trust and dont vote me out! its not me i sware its cyan he sus!

Answer:

It's C

Step-by-step explanation:

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