6 + 7* log base 2 of x = 21

Answers

Answer 1

6 + 7* log base 2 of x = 21

Answer:

Step-by-step explanation:


Related Questions

Can someone please help me solve the equation?

Answers

Answer:

(0,0) is the x and y intercept of the function

Step-by-step explanation:

The parabola touches the x and y axis at 0

The x intercept is (0,0) and the y intercept is (0,0)

Answer:

(0, 0) is the x and y intercepts

Step-by-step explanation:

intercepts are where the curve of the equation contacts an axis

The equation is y = x²

compute (-12)+(-8)+30​

Answers

Answer:

10

Step-by-step explanation:

(-12) + (-8) +30

-(12+8)+30

-20 + 30

10

Jim took a loan of R30 000.00 for 18 months at a simple interest rate of 12.5% per year. Determine the amount that Jim
will pay in 18 months.​

Answers

Answer:

R35625

Step-by-step explanation:

(R30,000×.125×18/12)+R30000

=R35625

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 2525 hours and the mean lifetime of a bulb is 590590 hours. Find the probability of a bulb lasting for at most 622622 hours. Round your answer to four decimal places.

Answers

Answer:

0.8997 = 89.97% probability of a bulb lasting for at most 622 hours.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 590 hours, standard deviation of 25 hours.

This means that [tex]\mu = 590, \sigma = 25[/tex]

Find the probability of a bulb lasting for at most 622 hours.

This is the p-value of Z when X = 622.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{622 - 590}{25}[/tex]

[tex]Z = 1.28[/tex]

[tex]Z = 1.28[/tex] has a p-value of 0.8997.

0.8997 = 89.97% probability of a bulb lasting for at most 622 hours.

If a teacher's guide to a popular SAT workbook is to be printed using a special type of paper, the guide must have at most 400 pages. If the publishing company charges 1 cent per page printed, what is the largest price, in dollars, that can be charged to print 20 copies of the workbook using the special paper?

Answers

Answer:

$80

Step-by-step explanation:

To find the largest price, assume that all 20 copies of the workbook will have 400 pages.

Since the company charges 1 cent per page, this means each workbook will cost 400 cents. This is equivalent to 4 dollars.

Find the total cost by multiplying this by 20:

20(4)

= 80

So, the largest price to print 20 copies is $80

75% increase followed by 50% decrease is it greater than to original

Answers

Answer:

Set original amount = x

After a 75% increase, it would become

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

After a 50% decrease, it would become

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = [tex]\frac{7}{8} x[/tex]

Because [tex]\frac{7}{8} x[/tex] is less than x, the new amount would be less than the original.

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! PLEASE explain thoroughly. Chapter 9 part 1

1. How can you determine the end behaviors for a graph from the function? What are the possible behaviors?

2. How is solving a polynomial inequality different from a solving a polynomial equation? How do the solutions differ?

3. What is a composite function? How does order of the composite function play a role in solving the composition?

Answers

9514 1404 393

Explanation:

1. End behavior is the behavior of the function when the value of the independent variable gets large (or otherwise approaches the end of the domain). There are generally four kinds of end behavior:

the function approaches a constant (horizontal asymptote)the function approaches a function (slant asymptote, for example)the function oscillates between two of the above end behaviorsthe function tends toward +∞ or -∞

Of these, behavior 2 will ultimately look like one of the others.

For polynomials, the function will always approach ±∞ as the independent variable approaches ±∞. Whether the signs of the infinities agree or not depends on the even/odd degree of the polynomial, and the sign of its leading coefficient.

For exponential functions, the end behavior is a horizontal asymptote in one direction and a tending toward ±∞ in the other direction.

For trig functions sine and cosine, the end behavior is the same as the "middle" behavior: the function oscillates between two extreme values.

For rational functions (ratios of polynomials), the end behavior will depend on the difference in degree between numerator and denominator. If the degree of the denominator is greater than or equal to that of the numerator, the function will have a horizontal asymptote. If the degree of the numerator is greater, then the end behavior will asymptotically approach the quotient of the two functions—often a "slant asymptote".

__

2. A polynomial inequality written in the form f(x) ≥ 0, or f(x) > 0, will be solved by first identifying the real zeros of the function f(x), including the multiplicity of each. For positive values of x greater than the largest zero, the sign of the function will match the sign of the leading coefficient. The sign will change at each zero that has odd multiplicity, so one can work right to left to identify the sign of the function in each interval between odd-multiplicity zeros.

The value of the function will be zero at each even-multiplicity zero, but will not change sign there. Obviously, the zero at that point will not be included in the solution interval if the inequality is f(x) > 0, but will be if it is f(x) ≥ 0. Once the sign of the function is identified in each interval, the solution to the inequality becomes evident.

As a check on your work, you will notice that the sign of the function for x > max(zeros) will be the same as the sign of the function for x < min(zeros) if the function is of even degree; otherwise, the signs will be different.

The solution to a polynomial inequality is a set of intervals on the real number line. The solution to a polynomial equation is a set of points, which may be in the complex plane.

__

3. A composite function is a function of a function, or a function of a composite function. For example f(g(x)) is a composite function. The composition can be written using either of the equivalent forms ...

  [tex](f\circ g)(x)\ \Leftrightarrow\ f(g(x))[/tex]

It can be easy to confuse an improperly written composition operator with a multiplication symbol, so the form f(g(x)) is preferred when the appropriate typography is not available.

When simplifying the form of a composition, the Order of Operations applies. That is, inner parenthetical expressions are evaluated (or simplified) first. As with any function, the argument of the function is substituted wherever the independent variable appears.

For example, in computing the value f(g(2)), first the value of g(2) is determined, then that value is used as the argument of the function f. The same is true of other arguments, whether a single variable, or some complicated expression, or even another composition.

Note that the expression f(g(x)) is written as the composition shown above. The expression g(f(x)) would be written using the composition operator with g on the left of it, and f on the right of it:

  [tex](g\circ f)(x)\ \Leftrightarrow\ g(f(x))[/tex]

That is, with respect to the argument of the composition, the functions in a composition expression are right-associative. For example, ...

  for h(x)=2x+3, g(x)=x^2, f(x)=x-2 we can evaluate f(g(h(x)) as follows:

  f(g(h(x)) = f(g(2x+3) = f((2x+3)^2) = (2x+3)^2 -2

It should be obvious that g(h(f(x)) will have a different result.

  g(h(f(x)) = g(h(x-2)) = g(2(x-2)+3) = (2(x-2)+3)^2

An urn contains 12 balls, five of which are red. Selection of a red ball is desired and is therefore considered to be a success. If three balls are selected, what is the expected value of the distribution of the number of selected red balls

Answers

The expected value of the distribution of the number of selected red balls is 0.795.

What is the expected value?

The expected value of the distribution is the mean or average of the possible outcomes.

There are 12 balls in an urn, five of which are crimson. The selection of a red ball is desired and hence considered a success.

In this case, the possible outcomes are 0, 1, 2, or 3 red balls.

To calculate the expected value, we need to find the probability of each outcome and multiply it by the value of the outcome.

The probability of selecting 0 red balls is :

[tex]$\frac{7}{12} \cdot \frac{6}{11} \cdot \frac{5}{10} = \frac{105}{660}$[/tex].

The probability of selecting 1 red ball is :

[tex]$3 \cdot \frac{5}{12} \cdot \frac{7}{11} \cdot \frac{6}{10} + 3 \cdot \frac{7}{12} \cdot \frac{5}{11} \cdot \frac{6}{10} + 3 \cdot \frac{7}{12} \cdot \frac{6}{11} \cdot \frac{5}{10} = \frac{315}{660}$[/tex].

The probability of selecting 2 red balls is

[tex]:$\dfrac{5}{12} \cdot \frac{7}{11} \cdot \frac{6}{10} + \frac{7}{12} \cdot \frac{5}{11} \cdot \frac{6}{10} + \frac{7}{12} \cdot \frac{6}{11} \cdot \frac{5}{10} = \frac{105}{660}$.[/tex]

The probability of selecting 3 red balls is

[tex]$\dfrac{5}{12} \cdot \frac{4}{11} \cdot \frac{3}{10} = \frac{15}{660}$[/tex]

The expected value is then :

[tex]$0 \cdot \frac{105}{660} + 1 \cdot \frac{315}{660} + 2 \cdot \frac{105}{660} + 3 \cdot \frac{15}{660} = \frac{525}{660} = \frac{175}{220} \approx \boxed{0.795}$[/tex]

To learn more about the expected value of the distribution click here:

https://brainly.com/question/29068283

#SPJ5

What is the slope of the line that passes through the points listed in the table?
x l y
8 l 3
10 l 7

A. -4
B. -2
C. 2
D. 4

Answers

Answer:

2

Step-by-step explanation:

The slope is given by

m = ( y2-y1)/(x2-x1)

   = (7-3)/(10-8)

    = 4/2

    = 2

Please help !!! Plzzzz

Answers

Answer:  7

Explanation:

Because we have a midsegment, this means that it is half as long as the side it's parallel to. You can think of "mid" as "middle" and that could lead to "halfway" to remember to take half.

So z = 14/2 = 7

It takes 12 people 15 hours to complete and certain job.how many hours would it take 18 people, working at the same rate to complete 2/5 of the same job?

Answers

Answer:

9 hours

Step-by-step explanation:

12 people take 15 hours to complete one job. First let's ask how long it would take 18 people working at the same rate to complete the same job? We can use proportions to answer this

[tex]\frac{12 people}{15 hours} = \frac{18 people}{x hours}\\x = \frac{18\times15}{12} = 22.5[/tex]

Now we know that one job takes 18 people 22.5 hours, so 2/5 of the job would take

[tex]\frac{18\times15}{12} \times \frac{2}{5} = 9[/tex]

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) F(x) = sin(x/2) , [π/2,3π/2]

Answers

Answer:

The numbers 3(pi)/2, 5(pi)/2 satisfy the conclusion of Rolle's Theorem

Step-by-step explanation:

1. The function must be continuous.  

Trigonometric functions are continuous.  

2.  It must be true that f(a) = f(b) = 0

For this case sin(pi) = sin(3pi) = 0

3. Therefore by Rolle's Theorem, there exist a point, x, such that f(x) = 0

For this case f(x) = cos(x)

And cos(x) = 0 at x = 3(pi)/2,5(pi)/2

Name three different ways a bar graph can be drawn.

Answers

Horizontal bar graphs, line bar graphs, and vertical bar graphs

A couple decide to have 5 children what if the probability that they will have at least one girl

Answers

The chance that they will have one girl is 1:5 because they are having 5 children and one is going to be a girl

Answer:

31/32

Step-by-step explanation:

There are 2^5, or 32 combinations.

There is only 1 combination which is all 5 children are boys.

So the probability that will have at least 1 girl is: 1 - 1/32 = 31/32

What is the period of the graph of y = 5 sin (pi x) + 3?

Answers

Equate whats inside (arguments) [tex]\sin[/tex] with base period of sine function [tex]2\pi[/tex] and solve for x to get period,

[tex]\pi x=2\pi\implies x=2[/tex]

So the period of the graph of the given function is precisely 2.

Hope this helps :)

Answer:

Step-by-step explanation:

bvjvhvghj

fernando charges a flat fee of 4.50 plus 2.00 per mile for his taxi service, when he got to the airport the cab fare was 12.50 how many miles was the trip to the airport

Answers

the trip to the airport was 6.25 miles.

The trip was 6.25miles long

prove that Sin^6 ϴ-cos^6ϴ=(2Sin^2ϴ-1)(cos^2ϴ+sin^4ϴ) please sove step by step with language it is opt maths question please sove i will mark you the best ​

Answers

Answer:

hshdkKnfbsjfjznd jzkz e zkkfkd

please help i dont wanna fail

Answers

Answer:

4

Step-by-step explanation

Plug in the numbers for x and y.

4/4 ( 2 + (6) - (4))

Remove the parenthesis. Since 4/4 is equal to 1, you can put down 1 as well.

1 (2 + 6 - 4)

Distribute the 1. When anything is multiplied by 1, it remains the same.

2 + 6 - 4

Simplify.

4

[tex]\huge\boxed{\textsf{Hey there!}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{x}{4}(2 + y - x)}}[/tex]

[tex]\huge\boxed{\mathsf{= \dfrac{4}{4}(2 + 6 - 4)}}[/tex]

[tex]\huge\boxed{\mathsf{= 1(8 - 4)}}[/tex]

[tex]\huge\boxed{\mathsf{= 1(4)}}[/tex]

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

[tex]\huge\boxed{\textsf{Therefore, your answer is: 4}}\huge\checkmark[/tex]

[tex]\huge\boxed{\boxed{\textsf{Good luck on your assignment \& enjoy your day!}}}[/tex]

~[tex]\huge\boxed{\boxed{\huge\boxed{\mathsf{Amphitrite1040:)}}}}[/tex]

evaluate (5^0-4^-1)×3/4​

Answers

Answer:

[tex](5^{0} -4^{-1} )(\frac{3}{4} )\\\\=(1-\frac{1}{4^{1}} )(\frac{3}{4} )\\\\=(\frac{4}{4} -\frac{1}{4} )(\frac{3}{4} )\\\\=(\frac{3}{4} )(\frac{3}{4} )\\\\=\frac{9}{16}[/tex]

Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is per square foot. A random sample of new homes indicated that the mean cost was and the population standard deviation was . Can it be concluded that the mean cost differs from , using the level of significance

Answers

Answer:

There isn't sufficient evidence that support the claim that mean cost differs from $117.91

Step-by-step explanation:

Given that :

Population Mean cost, μ = 117.91

Sample size, n = 36

Sample mean, xbar = 122.57

Sample standard deviation, s = 20

The hypothesis :

H0 : μ = 117.91

H0 : μ ≠ 117.91

Using the one sample t test :

Test statistic

(xbar - μ) ÷ s/sqrt(n)

T = (122.57 - 117.91) ÷ 20/sqrt(36)

T = 4.66 / 3.333

T = 1.398

Decision region :

Reject H0 ; If Pvalue < α

α = 0.10

Degree of freedom, df = n - 1 = 36 - 1 = 35

Pvalue(1.398, 35) = 0.1709

Since 0.1709 > 0.10 ; WE fail to reject H0 ; therefore there isn't sufficient evidence that support the claim that mean cost differs from $117.91

kofi earned 50 cedis mowing lawn. today, kofi earned 60% of what he earned yesterday mowing lawns. how much money did kojo earn mowing lawn today

Answers

Answer:

Kofi earned today = 30 cedis

Step-by-step explanation:

Given:

Kofi earned yesterday = 50 cedis

Kofi earned today = 60% of Kofi earned yesterday

Find:

Kofi earned today

Computation:

Kofi earned today = 60% of Kofi earned yesterday

Kofi earned today = 60% x 50

Kofi earned today = 0.60 x 50

Kofi earned today = 30

Kofi earned today = 30 cedis

Please Help me! I will mark brainliest for correct answer!!!

Answers

Answer:

y=2/3x+1

Step-by-step explanation:

If Y / 4 - 12 = 3.5, what is the value of y?

Answers

The answer to your question is 62

Identify the terminal point for a 45° angle in a unit circle.
O A (231)
O B.
O c.
V2 72

Answers

Answer:

D

Step-by-step explanation:

x- coordinate = cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

y- coordinate = sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex]

That is ( [tex]\frac{\sqrt{2} }{2}[/tex] , [tex]\frac{\sqrt{2} }{2}[/tex] ) → D

Given the parent graph h(x) = x, what happens when it is changed to h(x + 9)?

Answers

Answer:

If the parent graph is h(x) = x, then h(x+9) would actually be shifting the graph 9 units to the LEFT.

Let me know if this helps!

w • (-4+ z) = mz + 17
z = ____

solve for z.

ps.. pls help me lol. i need the answer

Answers

Answer:

z =  (17+4w)/(w-m)

Step-by-step explanation:

w • (-4+ z) = mz + 17

Distribute

-4w +wz = mz+17

Subtract mz from each side

-4w +wz - mz = mz+17-mz

-4w +wz-mz = 17

Add 4w to each side

-4w +4w+wz-mz = 17+4w

wz-mz = 17+4w

Factor out z

z(w-m) = 17+4w

Divide by (w-m)

z(w-m)/(w-m) = (17+4w)/(w-m)

z =  (17+4w)/(w-m)

URGENT!!!PLEASE HELP! PLEASE PLEASE!


Choose the number below that fits into the following number sets:


Natural Number

Whole Number

Integer


A. -½

B. 4.9

C. π

D. 6

Answers

Answer:

d) 6

Step-by-step explanation:

natural number = +ve numbers, so -1/2 is out

4.9 and π arent whole numbers nor intergers

14) Students at East Central High School earned $246
selling pennants. They want to make $3810 for a
club trip. What percent of their goal has been
reached? Round to the nearest tenth of a percent,
if necessary.

Answers

Answer:

6.46%

Step-by-step explanation:

246 ÷ 3810 × 100% = 6.46%

9+1+10+6×5+9+8×9+8+8+7+6+6+9+6+8+69+85+86+86+97+86+87+86+68

Answers

939

Step-by-step explanation:

hope it will help u

hope it will help u please mark me as brillient...

Answer:

939 is the answer

Step-by-step explanation:

plz Mark me as the brainlist

A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use. The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.02 level to support the company's claim

Answers

Answer:

The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.

Step-by-step explanation:

The company's promotional literature claimed that under 64% fail in the first 1000 hours of their use.

At the null hypothesis, we test if the proportion is of at least 64%, that is:

[tex]H_0: p \geq 0.64[/tex]

At the alternative hypothesis, we test if the proportion is of less than 64%, that is:

[tex]H_1: p < 0.64[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

64% is tested at the null hypothesis:

This means that [tex]\mu = 0.64, \sigma = \sqrt{0.64*0.36}[/tex]

A sample of 900 computer chips revealed that 61% of the chips fail in the first 1000 hours of their use.

This means that [tex]n = 900, X = 0.61[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.61 - 0.64}{\frac{\sqrt{0.64*0.36}}{\sqrt{900}}}[/tex]

[tex]z = -1.88[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.61, which is the p-value of z = -1.88.

Looking at the z-table, z = -1.88 has a p-value of 0.0301.

The p-value of the test is 0.0301 > 0.02, which means that there is not sufficient evidence at the 0.02 level to support the company's claim.

Other Questions
You are the CEO of a home appliance manufacturing company and have recently undertaken a review of your company's strategy. In comparing your stock market valuation to that of your closest competitor, you note that your firm is currently valued at $50 billion, while your competitor is valued at $40 billion. How should you proceed?A.Consider this evidence of a sustainable competitive advantage and maintain your current strategy B. Compare the current valuations with past valuations to determine a trend C. Assume your current strategy has failed and begin to formulate a new one D. Compare your valuation to firms in another industry. calculate the volume of the object immersed in the water in the water in the adjoining figur. ii)The outer electronic configuration of an element is 3d8 4s2.To which group and period it belongs? PLEASER HELP WILL GIVE BRAINLIEST! Find the arc length of the semicircle.Either enter an exact answer in terms of or use 3.14 for and enter your answer as a decimal. ILL GIVE POINTS!! Suppose a triangle has two sides of length 3 and 4 and that the anglebetween these two sides is pi/3 What is the length of the third side of thetriangle?A. sqrt13B. 4sqrt3C. sqrt3D. 3 Cellular respiration occur within ______ of a cell. Which best describes the relationship between the lines with equations x + 8y = -1 and 8x +y = -1? A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You randomly guess the answer to each of the questions. Find the probability that you answer three of the questions correctly. Find the probability that you answer at most two of the questions correctly. 01.01 introduction to art history and criticism A Jos le encanta la comida basura porque _[blank 1]_ conveniente, pero duda que _[blank 2]_ saludable.Qu opcin completa la oracin correctamente?sea, essea, es , ,est, esest, es , ,es, seaes, sea , ,est, sea please HELP ne with these questions answer them correctly Solve 3! Pleaseeee help Does anyone know the answer for 1? Andrea's near point is 20.0 cm and her far point is 2.0 m. Her contact lenses are designed so that she can see objects that are infinitely far away. What is the closest distance that she can see an object clearly when she wears her contacts? When making observations, you should provide a general description of the subject, rather than going into too much detail. How does Piet Mondrian artwork relates to a contemporary society, history etc.? Will give brainliest answer In an ELISA, the compound 4-chloro-1-naphthol is used because:_______ a. it turns color in the presence of an enzyme that is bound to the secondary antibody b. it helps the primary antibody bind to the protein c. it helps the secondary antibody to bind to the protein d. all of the choices Kevin promises to pay Macarena, his daughter, $5,000 if she obtains her degree at Brookdale community College, where she is currently in her first year. Macarena graduates. If a Court refuses to enforce the agreement it would most likely be because: