the value of x in logx(9/63)=1/2 is​

Answers

Answer 1

Answer: x = 7/2

Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2

Answer 2

The value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

What is a logarithmic equation?

"A logarithmic equation is an equation that involves the logarithm of an expression containing a variable."

Given logarithmic equation

[tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x(\frac{1}{7} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x=\frac{1}{2}({7} )[/tex]

⇒ [tex]log_{10}x=\frac{7}{2}[/tex]

⇒ [tex]x = 10^{\frac{7}{2} }[/tex]

⇒ [tex]x = 10^{3+\frac{1}{2} }[/tex]

⇒ [tex]x = 10^{3}[/tex] × [tex]10^{\frac{1}{2} }[/tex]

⇒ [tex]x = 1000\sqrt{10}[/tex]

The value of  [tex]x = 1000\sqrt{10}[/tex]

Hence, the value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

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Related Questions

guys what is 265 divided by 53

Answers

Answer:

5

Step-by-step explanation:

265/53= 5

Answer:

265÷53=5

Step-by-step explanation:

just get a calculator

You need to purchase supplies for building a backyard deck. Your boss gives you the supply list and asks that you get the best deal by buying from either True Builder or Quality Supplies. You call both stores, and they provide the price information that you put into the table below. Which store provides the lowest total cost, and what is the cost without sales tax?

Answers

Answer:

a) The store which provides the lowest total costs is:

True Builders

b) The cost without sales tax is:

$407.48

Step-by-step explanation:

Data and Calculations:

Product                Quantity       True Builders               Quality Suppliers

                                               Price          Costs             Price          Costs

Bricks                      120        $2.20       $264.00         $2.25      $270.00

2 x 4 boards            40 ft     $0.75            30.00         $0.70           28.00

1 x 6 boards           120 ft     $0.60            72.00         $0.65           78.00

2 x 6 boards           30 ft     $0.80            24.00         $0.80           24.00

Paint                        2 gal.    $15.50           31.00         $11.25          22.50

Paint Brushes         2           $7.50            15.00          $9.75           19.50

Total costs                                           $436.00                          $442.00

Imputed Sales Tax of 7%                        28.52                              28.92

Without Sales Tax                              $407.48                           $413.08

Answer:

Quality Supplies 442.00

Step-by-step explanation:

g The company charges a flat fee of $20 plus $0.48 for every mile the car is driven. Find the cost c c of renting a car from Rent-A-Wreck for a day when x x number of miles are driven.

Answers

Answer:

The cost for day when x miles are driven is

C = 0.48x + 20

Step-by-step explanation:

Firstly, we shall need to write an equation that represents the rent age

Let C be the cost and m is the number of miles driven

C = 20 + 0.48m

So given that x miles are driven, then m = x

This implies = 20 + 0.48x

How do you describe a quadratic equation?​

Answers

Answer:

an equation of the second degree, meaning it contains at least one term that is squared.

Step-by-step explanation:

A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

A serving of rice is 2/5 of a cup. How many servings are there in a 1 3/5-cup bag of rice?

Answers

3 i think i’m not sure tho if u add 2/5 until u get 1 3/5 that might help

Lucy, charlie, and Michael have a total of $95 in their wallet. Charlie has $10 more than lucy. Michael has 3 times what Lucy has. How much does each have?

Answers

I don,t I wish I could help but maybe us Socratic

At a grocery​ store, you want to buy 2 9/10 lb of. What decimal should the digital scale​ show?

Answers

Answer:

2.9

Step-by-step explanation:

Hope this helps:)

- 1 1/5 as improper fraction

Answers

The given  - 1 1/5 expressed as improper fraction can be written as - [tex]\frac{6}{5}[/tex]

An improper fraction can be regarded as fraction whereby, the numerator is greater compare to the denominator.

The numerator can regarded as the number that is on top, The denominator  can regarded as the number that is at down.

we were given [tex]\frac{1}{5}[/tex]-1 /5 so to express this as improper fraction, we multiply the whole number with the denominator then add to the numerator then we have

[tex]\frac{-6}{5}[/tex]-

Therefore, the improper fraction of the given figure is [tex]\frac{-6}{5}[/tex]

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What’s the y intercept

Answers

The y intercept is where the function intersects the y-axis.

Answer:

y-intercpet is In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Determine whether the statement is true or false. If it is​ false, rewrite it as a true statement. When each data class has the same​ frequency, the distribution is symmetric. Choose the correct answer below.

a. The statement is true.
b. The statement is false. When each data class has the same​ frequency, the distribution is bimodal.
c. The statement is false. When each data class has the same​ frequency, the distribution is skewed left.
d. The statement is false. When each data class has the same​ frequency, the distribution is skewed right.

Answers

Answer:

A; the statement is true

Step-by-step explanation:

In this question, we are to select which of the options is correct according to the initial statement.

The statement is true.

If the data classes have same frequency, then the distribution is said to be symmetrical in nature.

What is meant by being symmetrical in this case is that the data classes are skewed left as far as they are skewed right from a given center point.

Helpp thanksssss........

Answers

Answer:

4/10

Step-by-step explanation:

4/5 ÷ 2/1

4/5 * 1/2

2/5 or 4/10

which integer represents 19°F bellow

Answers

Answer:   -19

Draw out a vertical number line. Positive values are above 0, and negative values are below zero.

What is the relationship between x and 86?

Answers

Answer:

C

Step-by-step explanation:

the answer is C because they are on alternate sides and they are on the exterior meaning the outside.

Answer:

alternate exterior angles

Step-by-step explanation:

On a cold morning, the temperature at 7AM is -10 degrees F and rises two degrees per hour. What will the temperature be at noon?
Answer:
Equation:
Hours after 7AM (x) 0, 1, 2
Temp in F (y) -10, -8, -6
Use these for your coordinates

Answer the question, provide the equation, fill in the table and create the graph.

Answers

Answer:

it would be 60 degrees at noon

Step-by-step explanation:

Check the statements that are true.
A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers.
C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers.
D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers.

Answers

Answer:

A and D.

Step-by-step explanation:

A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}

(A)

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."

The general form an arithmetic sequence is:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.

So, the statement provided is True.

(D)

"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."

The general form an geometric sequence is:

[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]

The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.

So, the statement provided is True.

The coordinates below lie on the line with the given slope. find the missing coordinate value. (2,2) (5,y) slope = 2

Answers

Step-by-step explanation:

Hey there!

The given points are; (2,2) and (5,y).

Slope (m) =2

Using formula for slope, we get;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]2 = \frac{y - 2}{5 - 2} [/tex]

Simplify it to get value of"y".

[tex]2 = \frac{y - 2}{3} [/tex]

[tex]6 = y - 2[/tex]

[tex]y = 6 + 2[/tex]

Therefore, y= 8.

Hope it helps...

Which expression shows the COMMUTATIVE PROPERTY of addition?
A. 3 + 5 + 2 = 3 + (5 + 2)
B. 3 + 5 + 2 = 8 + 2
C. 3 + 5 + 2 = 5 + 2 + 3
D. 3 + 5 + 2 = 10

Answers

Answer:

C

Step-by-step explanation:

Commutative property means to add in a different order.

The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are:

Answers

Answer:

The​ homoskedasticity-only F​-statistic and the​ heteroskedasticity-robust F​-statistic typically​ are different.

Step-by-step explanation:

An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.

The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.

In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis

The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q  restrictions at once.

The homoskedasticity-only F-statistic is important historically (and also in practice), and can  help intuition, but isn’t valid when there is heteroskedasticity

For each of these intervals, list all its elements or explain 2.1 Sets 131 why it is empty. a) [a,a] c) (a, a] e) (a,b), where a > b b) [a,a) d) (a, a) f) [a,b],wherea>b

Answers

Answer: b

Step-by-step explanation:

12 apples to 8 oranges

Answers

12:8 is the ratio if that’s the question

Can anyone solve this for me. Thanks

Answers

Answer:

y=-1/3x+3

Step-by-step explanation:

I just need some one to explain how to do it ,​

Answers

Answer:

f(x) = (x^2-16) / (x+3)

f(x) has no horizontal asymptote.

Vertical assymptote is x = -3

Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.

the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.

the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1

the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is  --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line

Step-by-step explanation:

Hope this helps! brainliest please

Evaluate the expression when b= 2.
12 - b =

Answers

Answer: 10

12-b

Substitute 2 in for b

12-2

Subtract

10

Answer:

Well, if b = 2, then 12 - b = 10

Step-by-step explanation:

hope this helps, lol! <3

What is the distance from the origin to point P graphed on the complex plane below?

Answers

square root of 29, so option 2

write equivalent fractions for 3 2/3 and 1 4/5 using 15 as the common denominator

Answers

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                               and 1 12/15

Step-by-step explanation:

The required equivalent fractions for 3 10/15 and 1 12/15.

Given, two mixed fractions 3 2/3 and 1 4/5, determine equivalent fractions using 15 as the common denominator.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
First
= 3 2/3
= 3 + 2 / 3
= 3 + 2 × 5 / 3 × 5
= 3 + 10 / 15

Second,
= 1 4 / 5
= 1 4 × 3 / 5 × 3
= 1 12/15

Thus, the required equivalent fractions for 3 10/15 and 1 12/15.

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PLS HELP!! According to the following diagram, which two options form a pair of opposite rays?

Answers

Ello there mate hows it going? I have done geometry and parlinguals along with alegbra! I am certified as a college professor and am willing to help ya!

PLEASE THANK ME RATE MY QUESTION 5 STARS AND MARK ME BRAINLIEST for my extrodinary and overly qualified help!

A,C

yours,

a soon to be brainliest

A set of history exam scores are normally distributed with a mean of 83.2 points and a standard deviation
of 8 points.
What proportion of exam scores are between 82 and 89.2 points?
You may round your answer to four decimal places.

Answers

Answer: .3330

Step-by-step explanation:

The proportion of exam scores are between 82 and 89.2 points is 0.3330.

What is standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

When comparing data sets that may have the same mean but a different range, it is helpful.

The mean of the two numbers 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30 for instance, is the same. The second, though, is obviously more dispersed.

Given:

mean = 83.2 points and

standard deviation = 8 points.

So, the proportion is

P(82 ≤ x ≤ 89.2)

=P( 82- 83.2 / 8 ≤ z ≤ 89.2 - 83.2/8)

=P (0.75) - P(-0.15)

=0.7734 -(0.4404)

= 0.3330

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Is the answer x=6????

Answers

Answer:

x=12

Step-by-step explanation:

5x-2 = 58

5x = 60

x = 12

f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))

Answers

Answer:

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

[tex]f(x)=2x-4[/tex]

then f(2) would be what?

[tex]f(2)=2(2)-4\\f(2)=0[/tex]

which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you

[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

[tex]f(g(x))=-2(-3x+2)-4[/tex]

[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]

so that is our final answer.

Hope i helped

The temperature at 2:00 AM was -15° Fahrenheit. The temperature rose by 3 ° each hour. What was the temperature at 6:00AM?​

Answers

Answer:

9 degrees farenehit

Step-by-step explanation:

Answer:   -3 degrees Fahrenheit.

=====================================================

Explanation:

x = number of hours since 2 AM

y = temperature in degrees Fahrenheit

The starting temperature is -15 degrees, so the y intercept is b = -15.

The temperature goes up 3 degrees each hour, so the slope is m = 3

The equation is y = 3x-15

Now plug in x = 4 since 6 AM is four hours after 2 AM.

We get the following

y = 3x-15

y = 3*4-15

y = 12-15

y = -3

The temperature at 6 AM is -3 degrees Fahrenheit.

-------------------------

Check:

Start at -15 and add 3 for each hour

It might help to make a number line.

2 AM = -15 degrees

3 AM = -12 degrees

4 AM = -9 degrees

5 AM = -6 degrees

6 AM = -3 degrees

This confirms the answer.

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