Solve the rational equation:
7/(s + 8) = −2/(9s + 1)

Answer: s=?

1st one is:SSS 2nd one is:*not visible* 3rd one is:SSA 4th one is: AAS, 5th one is:AAA or AAS 6th one is:CNBD 7th one is:SAS 8th one is:SSS

Step-by-step explanation:

Hope this helped :)

Tell me if anything is wrong please

Answer:

Fraction: 4 1/4 = 17/4

Decimal: 17/4 = 4.25

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Given :

Weekly salary , S = $150.

Commission per car , C = $325.

To Find :

The the equation that models the weekly salary of a car salesman.

Solution :

We know it is a quadratic equation :

Let , the equation is , y = mx + c

Here, x is number of car sold in a week.

For  x = 0 ( He will not get commission)

So , Salary is $150 = c .

For x = 1

Salary is $( 150 + 325 ) = $475 = m(1) + c

Therefore , m = $325 and c = $150.

Required linear equation is y = 325x + 150.

Hence, this is the required solution.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

To know more about equation visit:-

https://brainly.com/question/29657992

#SPJ1

Answer:

x > 6

Step-by-step explanation:

Divide both sides by 12 to get x by itself

Answer:

The answer for this is x>6

Step-by-step explanation:

you need to get x by itself, so u take the 12 and instead of multiplying you need to divide to get it to the other side so 72÷12=6

The two possible measurements given by the student are :

Given the Parameters :

The length of the error in measurement can be calculated thus :

Therefore the student's measurement can be expressed as :

Therefore, the possible measurements of the student are 19 or 21 cm

Learn more : https://brainly.com/question/18796573

y=ax^4 + bx^3 + cx^2 + dx + e

Since a< 0 we know that it has to go to - infinity for x going to - infinity and x going to + infinity. That rules out choices B and C.

The maximum number of turning points a polynomial can have is n-1 where n is the degree of the polynomial

(turning points is change of direction)

The graph D has 5 turning points and the degree of the polynomial is 4 so it is not possible

A is your solution.

Answer:

9 hours

Step-by-step explanation:

$495 divided by 15 hours = $33 - this is how much the trainer charges per hour.

$297 divided by $33 per hour = 9 hours of training

The value of p such that the matrix M does not have an inverse is given as follows:

p = -5.

The matrix M for this problem is given as follows:

M = [7 2

       p -1].

As it is a 2 x 2 matrix, the determinant is obtained with the multiplication of principal diagonal subtracted by the multiplication of the secondary diagonal, hence:

|M| = -7 - 2p.

The matrix does not have an inverse if the determinant assumes a value of zero, hence the value of p is obtained as follows:

-7 - 2p = 0

2p = -7

p = -7/2

p = -5.

More can be learned about matrices at https://brainly.com/question/2456804

#SPJ1

The hiker plans a trip in two sections, with her destination being 18 km away on a bearing of N63'E from her starting position. The first leg of the trip is on a bearing of N13E. We need to find the length of the first leg.

To find the length of the first leg, we can use trigonometry. Since the bearing is given as an angle relative to the North direction, we can break it down into its components using the right-angled triangle formed by the bearing and the North direction.
In this case, the bearing of N13E can be broken down into a North component (opposite to the angle) and an East component (adjacent to the angle). The North component can be found using the formula: North component = length of leg * sin(bearing angle). The East component can be found using the formula: East component = length of leg * cos(bearing angle).
Once we have the North and East components, we can use them to find the length of the first leg using the Pythagorean theorem: Length of first leg = sqrt((North component)^2 + (East component)^2).
Therefore, to find the length of the first leg, we can follow these steps:
1. Calculate the North component: North component = length of leg * sin(bearing angle).
2. Calculate the East component: East component = length of leg * cos(bearing angle).
3. Calculate the length of the first leg using the Pythagorean theorem: Length of first leg = sqrt((North component)^2 + (East component)^2).
By substituting the given values, we can find the length of the first leg.

to know more about hiker visit:

https://brainly.com/question/33563762

#SPJ11

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

To know more about distribution visit:

https://brainly.com/question/29664127

#SPJ11

James was able to save $15 by dividing $30 by 2. James and money equal 3/4 (money with sister) x/2 + 30 = 3/4 (x + 30) in the equation.

The statistic is said to be in its simplest form when cut into its smallest equivalent fraction. What to do to find the most basic form. Look for common factors in the denominator. Examine a fractional integer to verify if it qualifies as a real number. A statement having two equal sides and an equal sign in the middle is called an equation in algebra. The general form of almost any equation contains the quantities of all the variables in descending order. The conventional form of an equation is an x + b = 0. The general form of a linear equation with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditioned equations. An identity holds true regardless of the value given to the variables.

given

Sister's money saved should equal x.

James has saved only half as much money as his sister.

James saved x/2 in money.

They both saved a total of x + x/2 dollars.

If they each save thirty more

Then

sisters' money = x + 30

cash with James = x/2 + 30

Given that James will have saved half as much as her sister if they both save 30 more

thus,

James and money equals 3/4 (money with sister)

x/2 + 30 =3/4( x + 30 )

=> 4(x+30*2) /2 = 3x+90

=> 2x + 120 = 3x + 90

=> 3x-2x = 120-90

=> x = 30

James was able to save $15 by dividing $30 by 2. James and money equal 3/4 (money with sister) x/2 + 30 = 3/4 (x + 30) in the equation.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

The answer is $67.25

Step-by-step explanation:

I got this by using 300/15, then adding 22.25

Answer:

b

Step-by-step explanation:

There's only 1 orange and 1 yellow

Then there are 8 sections

therefore, 2/8 or 1/4

Answer:

36

Step-by-step explanation:

Let the total number of cotton candy = A

Number of blue cotton candy = 27 cones

Percentage of blue cotton candy = 75%

Therefore, the total number of cotton candy is calculated as:

27/A × 100 = 75%

2700/A = 75

Cross Multiply

75A = 2700

A = 2700/75

A = 36

Therefore, the amount of total cotton candy that we have is 36.

The error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Given the system of linear equations:

-3x + 2y = 8 ---> eqn. 1

3x + 2y = -6 ---> eqn. 1

First add both equations together:

Step 1: 4y = 2

Next, divide both sides by 4:

Step 2: y = 2/4

y = 0.5

Therefore, the error made by Kaitlyn when solving the system of equations is in step 2. Her solution will be incorrect.

The right option will be: No, she made an error in step 2. She should have found y = 0. 5.

Learn more about system of equations on:

https://brainly.com/question/11767839

Answer:

~201

Step-by-step explanation:

Use the area formula:  \(A=\pi r^2\)

22/7 x 64 = 201.14

which rounds to 201

The probability of producing at least 232,000 barrels is 0.5.

The standard normal distribution table, also known as the z-table, is a table that provides the probabilities for a standard normal distribution, which has a mean of 0 and a standard deviation of 1.

The table lists the probabilities for values of the standard normal distribution between -3.49 and 3.49, in increments of 0.01.

Here we have

Daily output of marathon's garyville, louisiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels.

Since the daily output of the refinery is normally distributed,

we can use the standard normal distribution to calculate the probability of producing at least 232,000 barrels.

First, we need to standardize the value using the formula:

=> z = (x - μ) /σ

where:

x = value we want to calculate the probability for (232,000 barrels)

μ = mean (232,000 barrels)

σ = standard deviation (7,000 barrels)

=> z = (232000 - 232000) / 7000 = 0

Next, we look up the probability of producing at least 0 standard deviations from the mean in the standard normal distribution table.

This value is 0.5.

Therefore,

The probability of producing at least 232,000 barrels is 0.5.

Learn more about Normal distribution table at

https://brainly.com/question/30404390

#SPJ4

Answer:

n= -2

Step-by-step explanation:

Combine like terms, after divide both sides of the equation by the same term, then simplify.

Hope this helps.

The correct significant figure of 0.0879/0.98 is 0.08989796. (rounded to six significant figures)

The meaningful digits in a measured or computed number are known as significant figures. They are used to convey the degree of uncertainty in a value and represent the accuracy of the measurement. You must first establish the number of significant figures in each value being utilized before you can execute a computation with significant figures. When doing the computation, use the same number of decimal places as the value with the fewest significant figures. The final step is to round the result to the appropriate number of significant digits.

According to the question

Both numbers in the calculation 0.0879/0.98 have four significant digits. The result, after performing the calculation, is 0.08989796. We look at the final digit (7) in the response to determine the right amount of significant digits to round to. The preceding digit (9) is rounded up if the digit is 5 or above. In this instance, the solution, rounded to six significant numbers, is 0.0899.

To know more about significant figures on brainly : brainly.com/question/29153641

#SPJ4

The identical rates of silent and replacement changes in pseudogenes support the neutral theory of evolution. Pseudogenes, being non-functional and not subject to selective constraints.

The observation that the rate of silent and replacement changes is identical in pseudogenes, as determined by the start codon ,explained in the light of the neutral theory of evolution proposed by . According to the neutral theory, most genetic variation that accumulates over time is due to random genetic drift rather than natural selection.                                                                                                                                                                                                                            

In pseudogenes, the mutations that occur are generally selectively                                                                                                                                                                            neutral, meaning they do not confer any advantage or disadvantage to the organism. Pseudogenes are non-functional copies of genes that have lost their protein-coding ability due to various mutations, such as insertions, deletions, or premature stop codons. Since pseudogenes are not under functional constraints, mutations in these regions are generally not subject to purifying selection, which eliminates deleterious changes.

The rate of silent changes (synonymous substitutions) refers to nucleotide changes that do not alter the amino acid sequence of the protein encoded by a gene. These changes occur in the third position of the codon, where the genetic code is degenerate, allowing multiple codons to encode the same amino acid. Silent changes are often considered selectively neutral because they do not affect the phenotype of the organism.

The rate of replacement changes (non-synonymous substitutions), on the other hand, refers to nucleotide changes that result in a different amino acid being incorporated into the protein sequence. These changes can potentially affect the structure and function of the protein and may be subject to selective pressure.

In pseudogenes, both silent and replacement changes occur at a similar rate because the majority of mutations in pseudogenes are selectively neutral. Since pseudogenes are non-functional, there is no selection pressure to maintain the protein-coding sequence.

To know more about rates here

https://brainly.com/question/29781084

#SPJ4

If an invertible symmetric n×n matrix A has a nonzero vector v in R^n such that Av is orthogonal to v, then it means that the dot product of Av and v is equal to zero. In other words, Av . v = 0. Using th peroperties of the dot product, we can rewrite this equation as:
v . A^T v = 0

Since A is symmetric, A^T = A, and we can rewrite the equation as:
v . A v = 0
This equation can be further simplified using the properties of the dot product:
v . A v = (A v) . v = 0
From this equation, we can see that the eigenvalues of A must be either positive or negative. If the eigenvalues of A are all positive, then v . A v > 0, which contradicts the equation v . A v = 0. Similarly, if the eigenvalues of A are all negative, then v . A v < 0, which also contradicts the equation v . A v = 0.
Therefore, the only way for there to exist a nonzero vector v in R^n such that Av is orthogonal to v is if the eigenvalues of A are both positive and negative. In other words, A must have both positive and negative

eigenvalues.

Read more about nonzero vector v  here:https://brainly.com/question/30301934

#SPJ11

Answer:

Step-by-step explanation:2:5 would be basically 2/5 and you could say that the ratio of

Girls to boys is 2:5

Answer:

8 to 7

Step-by-step explanation:

5/7 to 5/8 = 40/56 to 35/56

We then have:

5/7 to 5/8 = 40 to 35

Now...

40 to 35 = 8 to 7

P.S: These colons ':' mean the same as 'to' in ratios

Answer:

Step-by-step explanation:

boody boody