What is the value of x in the equation - 5/8 x = - 160?

Answer:

\( b = {a}^{2} - 6\)

Step-by-step explanation:

\(a = \sqrt{b + 6} \\ squaring \: both \: sides \\ {a}^{2} = {( \sqrt{b + 6)} }^{2} \\ {a}^{2} = b + 6 \\ {a}^{2} - 6 = b \\ \huge \purple { \boxed{ b = {a}^{2} - 6}}\)

Answer:

b= a^2-6

Step-by-step explanation:

Check the attachment.

Hope it helps :)

Answer:

Ummm. There's no question

Step-by-step explanation:

Answer:

it is 19.17

Step-by-step explanation

rounded it and its 19.17

Answer:19.17

Step-by-step explanation:

Answer:

9-x

Step-by-step explanation:

x less than 9, you need 9 first to have x subtracted by it. less than is subtracting.

For, the given differential equation, 1) For  800 < P < 10000, the population will increase and 2) For 0 < P < 800, the population will decrease.

                               dP/dt = kP (1- (P/K)) (1-(m/P))   -(1)

where k is a constant and K is the carrying capacity.

Here, K = 10000, m = 800 and k = 0.05

Putting these values in Equation 1 we get,

                      dP/dt = 0.05P (1- (P/10000)) (1-(800/P))

1.) If dP/dt > 0 then P is increasing

As dP/dt > 0

So, 0.05P (1- (P/10000)) (1-(800/P)) > 0

Both ((10000- P)/10000) > 0 and ((P-800)/P) > 0

=> P < 10000 and P > 800

So, for  800 < P < 10000, the population will increase.

2.)  If dP/dt < 0 then P is decreasing

As dP/dt < 0

So, 0.05P (1- (P/10000)) (1-(800/P)) < 0

Both ((10000- P)/10000) > 0 and ((P-800)/P) > 0

=> P > 10000 and P < 800

So, for  0 < P < 800, the population will decrease.

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(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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ANSWER

$339.86

EXPLANATION

We have that Joey makes $6.75 per hour plus 8% commission on all sales.

Joey works 38 hours.

That means that in those hours he made:

Amount = 6.75 * 38 = $256.50

He made $1042 worth of sales.

This means that he also made 8% of $1042.

That is :

Therefore, the total amount of money that he made is the sum of the two amounts:

Total amount = $256.50 + $83.36

Total amount = $339.86

He made a total of $339.86

Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:

40

Step-by-step explanation:

P=2(l+w)

2·(10+10)

          =40

Answer:

1 38888888889/50000000000

Step-by-step explanation:

The answer to the first part equation is 1080 ( 3*15*24). The answer to the second question ( 16*20*6) is 1920. Then you divide 1920/ 1080= 1 38888888889/50000000000

Answer:

0.0668 = 6.68% probability that the worker earns more than $8.00

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 pvalue, we get the probability that the value of the measure is greater than X.

The average hourly wage of workers at a fast food restaurant is $7.25/hr with a standard deviation of $0.50.

This means that \(\mu = 7.25, \sigma = 0.5\)

If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $8.00?

This is 1 subtracted by the pvalue of Z when X = 8. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{8 - 7.25}{0.5}\)

\(Z = 1.5\)

\(Z = 1.5\) has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 = 6.68% probability that the worker earns more than $8.00

This is a question that asks about the advantages of a systematic random sampling. Thus, we first take a look at the types of sampling, and then we see the advantage of systematic random sampling.

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Systematic:

One of the bigger advantages is that the systematic sampling eliminate clusters, which means that the last option is wrong.

Inadvertently missing patterns is a problem in systematic sampling, and not an advantage, thus the third option is also wrong.

It also does not reduce sampling variability, thus the first option is wrong.

From this, it can be concluded that the correct option is:

Systematic random sampling does not require a finite population size.

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Answer:

5. x=50 y= 150 z=30

6. x=3

Step-by-step explanation:

The percentage difference in prices and number of units for cities with and without the law is 55%.

In the given question we have to find the percentage difference in prices and number of units for cities with and without the law.

Using only the data for 2000, compare the sample means of LNPRICE and LNUNITS for cities with an Inclusionary Zoning policy, IZLAW=1, to those without policy, IZLAW=0.

In the mean housing price is

12.06 +0.27*1+0.22*1+0.33(1*1)

[In 2000, IZPi=1 and YEAR 2000i=1]

=12.06+0.27+0.33

=12.88

In 1990 the mean housing price is

12.06+0.27*1

[In 1990, IZPi=1 and YEAR 2000=0]

=12.06+0.27

=12.33

The growth of mean housing price is (12.88-12.33)*100%

=0.55*100%

=55%

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Answer:

- 1

Step-by-step explanation:

Step 1:

2 ( x + 3 ) = 8

Step 2:

2x + 6 = 8

Step 3:

2x = - 2

Answer:

x = - 1

Hope This Helps :)

Answer:

x=1

Step-by-step explanation:

First, distribute the 2 into the parenthesis (multiply the 2 by x+3) to get:

2x+6=8

Now subtract 6 from each side to get:

2x=2

Finally, divide each side by 2:

x=1

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

\(\sf \large \boxed{110 ^\circ}\)

Answer:

804

Step-by-step explanation:

Just use a calculator.

What the given experiment demonstrates is; The magnitude of acceleration according tp newton's second law of motion

Newton's second law of motion states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

This law basically establishes a relationship between the net force and the acceleration, which is expressed as;

∑ F = m a

where;

∑F is the sum of the external forces

m the mass of the body

a is the acceleration of the body

The initial situation in the question shows the block and a baking mass. This means that an acceleration is created towards the hanging mass expressed as;

W₁ = M₁ g

F = ma

Thus;

M₁g = m a

a = (M₁g/m)

where;

W₁ is the weight of the body  

M₁ is the mass of the body hanging under the acceleration of gravity.

For the second case, there are two masses, with one on each side, and so we have;

∑ F = W₁ - W₂

∑F = (M₁ - M₂) g

Using Newton's second law of motion gives us;

(M₁ - M₂ )g = ma

a = (M₁ - M₂ )mg

Thus, the acceleration depends on the difference of the hanging masses which proves Newton's second law of motion.

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Answer:

b

Step-by-step explanation:

-3x is the rate of change, so minus 3X= -17/3

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer: The caret symbol (^) represents a power.

Step-by-step explanation:

In short, a power or an exponent indicates the number of times a number needs to be multiplied by itself. The caret can be used to represent a number that is to be used as an exponent.

For example, 5^2 is the same thing as \(5^2\). \(5^{2} =\) 5 x 5 = 25.

In the example you provided, 1200 x (1.0041666667) ^ 48, the caret means that you need to raise 1.0041666667 to the power of 48.

The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer:

\(x = \frac{y - 4}{7}\)

Step-by-step explanation:

\(y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x\)

Answer:

i would say C

Step-by-step explanation: