2x+ 4x + 108 = 180
Prove or given ?

Hello!

miles driven = x

the initial cost = 29

f(x) = 29 + 0.35x

Answer: Multiply n299 by n by adding the exponents

Step-by-step explanation:

8n230+15=0

The equation of the line is y = x + 6

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

The graph

On the graph, we have the following highlights

The graph intersect the y-axis at y = 6

This means that the intercept c is 6

Also, as x changes by 1, the y values changes by 1

This mean sthat the slope is 1

So, we have

y = mx + c

This gives

y = x + 6

Hence, the equation is y = x + 6

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The linear equation on the graph can be written as:

y = (3/2)*x + 6

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁), then the slope will be:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we can see the points (0, 6)  (so the y-intercept is b = 6)  and (4, 10)

Then the slope will be:

a = (10 - 6)/(4 - 0) = 6/4 = 3/2

Then the linaer equation is:

y = (3/2)*x + 6

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Answer:

97.5ml protein

Step-by-step explanation:

20hr * 75ml/hr = 1500ml

1500ml * .065 = 97.5ml protein

The patient will receive 78 ml protein in the entire day.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Tube feeding formula = 75 ml/hr

Protein content = 6.5% of 75 ml/hr = 0.065*75 ml/hr

⇒ Protein content = 4.875 ml/hr

Now since, the feeding must be held (stopped) for 2 hours before and 2 hours after the administration of Dilantin twice a day

So, Stoppage total hours = 2(2 + 2) = 2*4

⇒ Stoppage total hours = 8

Thus, total hours in a day when formula is feed = 24 - 8 = 16 hours

Thus Protein received by patient = 16hr * 4.875 ml/hr

⇒ Protein received by patient = 78 ml

Thus, the patient will receive 78 ml protein in the entire day.

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Answer:

7:4 that would be the ratio

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Therefore, the degree of the given monomial is 11.

In algebra, a monomial is an expression consisting of a single term. A term can be a constant, a variable, or the product of a constant and one or more variables. In other words, a monomial is a polynomial with only one term.  The degree of a monomial is the sum of the exponents of its variables.

Here,

The degree of a monomial is the sum of the exponents of its variables.

For the monomial -3q⁴rs⁶, the degree would be:

4 + 1 + 6 = 11

Therefore, the degree of the monomial -3q⁴rs⁶ is 11.

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Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

bx + c = dx -e

e + c = dx - bx

e + c = x(d - b)

(e + c)/(d - b) = x where d ≠ b

Answer:

9.225 x 10^18 is what it is in standard form

Step-by-step explanation:

Answer:

ummm, it should be 9,225,000,000,000,000,000. =D

Step-by-step explanation:

move the decimal at the end of my answer, over to the left 18 spaces, and it should end up back at 9.225!

Answer:

given angle A =120degree

angle D =60 degree

because angle A+angle B=180 degree

hope it is right answer for it!!

the fraction of the class that did not participate in any of these activities is 1 - n * (151/60).

What is the fraction?

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing a numerator(upper value) and denominator(lower value).

Let's call the number of students in the class "n".

2/3 of the class played in the band, so:

n * 2/3 participated in the band

1/6 of the class sang in the chorus, so:

n * 1/6 participated in the chorus

1/10 of the class played football, so:

n * 1/10 played football

1/60 of the class played basketball, so:

n * 1/60 played basketball

The fraction of the class that participated in one of these activities is the sum of these fractions:

n * (2/3 + 1/6 + 1/10 + 1/60) = n * (7/6 + 1/10 + 1/60)

So, the fraction of the class that did not participate in any of these activities is:

1 - n * (7/6 + 1/10 + 1/60) = 1 - (7/6 + 1/10 + 1/60) * n = 1 - n * (151/60)

Therefore, the fraction of the class that did not participate in any of these activities is 1 - n * (151/60).

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Part a: total discounted rental cost  for the boat  = $690.

Part b: cost per team member = $32.34

A two-variable linear equation can be thought of as a linear relationship involving x and y, or two variables whose values rely on each other (often y and x) (usually x).

From the graph:

Part a: Rental cost for boat for 3 days is 180.

For 1 day = 180/3 = 60.

So,

Total cost for the team to rent a boat for 12 days:

total discounted rental cost  = 12*60 - 12/4 *10

total discounted rental cost = $720 - $30

total discounted rental cost  = $690

Part  b:  cost per team member

total discounted rental cost = 35% paid by coach.

remaining 75% is equally  divided in all 16 team members.

Then,

cost per team member = 0.75*690 / 16

cost per team member = $32.34

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Complete question

The boat rental company gave a rowing team a discount of $10 off for every

4 days of rental. The team rented a boat for 12 days. Their coach paid 35%

of the total discounted rental cost. The remaining rental cost was divided

equally among the 16 team members.

The table for the data is shown.

Answer:

you can multiply the number of cookies with the cost of each box

Step-by-step explanation:

60 (number of boxes) x 3.50 (the cost for each box) = $210

42 (number of boxes) x 3.50 (the cost for each box) = $147

56 (number of boxes) x 3.50 (the cost for each box) = $196

I hope this helpsss :)

The complete factorization of the polynomial is:

h(x) = (x - 3)*(x - 1)*(x + 2)

Here we have the polynomial:

g(x)= x³ - 2x² - 5x + 6

And we know that x = 3 is a zero, then (x - 3) is a factor.

So if f(x) = a*x² + b*x + c

We can write:

h(x) = (x - 3)*f(x)

Let's find f(x).

Expanding that:

x³ - 2x² - 5x + 6 = (x - 3)*(a*x² + b*x + c)

x³ - 2x² - 5x + 6 = ax³ + bx² + cx - 3ax² - 3bx - 3c

x³ - 2x² - 5x + 6 = ax³ + (b - 3a)x² + (c - 3b)x - 3c

Comparing like terms, we can see that:

a = 1

b - 3 a = -2

c - 3b = -5

-3c = 6

With the first and last equation we can get:

a = 1

c = 6/-3 = -2

Now with one of these values and the second or third equation we can find the value of b.

b - 3 a = -2

b - 3*1 = -2

b - 3 = -2

b = -2 + 3 = 1

Then:

f(x)  = x² + x - 2

The zeros of this quadratic function are given by:

\(x = \frac{-1 \pm \sqrt{1^2 - 4*1*-2} }{2} \\\\x = \frac{-1 \pm 3}{2}\)

x = (-1 + 3)/2 = 1

x = (-1 - 3)/2 = -2

Then we can factorize this as:

f(x) = (x - 1)*(x + 2)

And then we can write h(x) as:

h(x) = (x - 3)*(x - 1)*(x + 2)

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Answer:

.35x = 140(.15)

.35x = 21

x = 60 oz of 35% salt.

The scientist will need 60 oz of the 35% salt solution and 80 oz of water.

The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.

The squared of the size of any solitary side of either a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, times by the cosine of something like the angle they are a part of.

Let the triangle ΔABC, then the cosine law is given as,

c² = a² + b² - 2 a·b cos C

From the graph, the measure of the length 'x' is calculated as,

x² = 5² + 8² - 2 (5)·(8) cos 55°

The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.

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Answer:

5/6

Step-by-step explanation:

This is because when you roll three times, there are 18 possible numbers (six numbers three times). If you want to get less than five each time, that is 5 number x 3 rolls = 15 numbers.

So...You get 15/18 which simplifies to 5/6

Answer:

Hi there!

Your answer is;

-2= x

Step-by-step explanation:

12= -5x +2

-2

10= -5x

/-5

-2 = x

Hope this helps

Answer: x = -2 give me brainliest

Step-by-step explanation:

Step-by-step explanation:

Ah statistics

68-95-99.7

a. 68% is between -1 and 1 standard deviation, which is between 389 and 449 minutes

b. 95% is between -2 and 2 standard deviations, which is between 359 and 479 minutes

c. 99.7% is between -3 and 3 standard deviations, which is between 329 and 509 minutes

d. Use table A with a z-score of (360-419)/30 = -1.96666667

and with a z-score of (478-419)/30 = 1.96666667

NOTE THESE ARE NOT THE ANSWERS, but use the z-scores to find the percentage on table A

e. (400-419)/30 = -0.633333333 as his z-score

now find that value on table A

We are given the mean and the standard deviation. If the distribution is normal(bell-shaped), the Empirical Rule is used, otherwise, if the distribution is unknown, Chebyshev's Theorem is used.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by \(100(1 - \frac{1}{k^{2}})\).

In this question:

Mean of 419, standard deviation of 30.

Question a:

Within 1 standard deviation of the mean, so:

419 - 30 =  389.

419 + 30 = 449.

Between 389 and 449 minutes.

Question b:

Within 2 standard deviations of the mean, so:

419 - 60 = 359

419 + 60 = 479

Between 359 and 479 minutes.

Question c:

Within 3 standard deviations of the mean, so:

419 - 90 = 329

419 + 90 = 509

Between 329 and 509 minutes.

Question d:

Have to find how many standard deviations it is from the mean:

(478 - 419)/30 = 1.97

(360 - 419)/30 = -1.97

Considering \(k = 1.97\)

\(100(1 - \frac{1}{1.97^{2}}) = 74.2\)

At least 74.2% of the times would be between 360 and 478 minutes.

Question e:

The z-score is:

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

In which X is the measure, \(\mu\) is the mean and \(\sigma\) is the standard deviation.

For this question, X = 400, \(\mu = 419, \sigma = 30\)

So

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

\(Z = \frac{400 - 419}{30}\)

\(Z = -0.633\)

This worker is in the lower half of workers but within 0.633 standard deviations of the mean.

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Answer:

B

Step-by-step explanation

my sister said it was-

im sorry if its not right i hope it helps

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

D

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

D. because it has a proper domain and range and no other answer has correct domain/range. Therefore, D is the answer.

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be  fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

The well-knοwn straightfοrward apprοach, actual variables, and any relevant infοrmatiοn frοm the initial and specialist questiοns can all be used tο finish the assignment. Custοmers may be given anοther chance tο try the gοοds in respοnse. If nοt, significant expressiοn in οur understanding οf prοgrams will be lοst.

Here,

We must figure οut hοw many pairs οf sunglasses must be sοld tο cοver the fixed and variable cοsts in οrder tο reach the break-even pοint.

Assume that X sunglasses must be sοld tο break even.

Fixed cοst plus variable cοst equals tοtal cοst.

Selling price x Number οf units sοld equals tοtal revenue.

The tοtal revenue and entire expense are equal at the break-even pοint.

Thus, we can cοnstruct the equatiοn:

Fixed cοst plus variable cοst multiplied by the selling price equals the quantity sοld.

=>  $9.44 X = $748,374 + $2.19 X

=>  $9.44 X - $2.19 X = $748,374

=>  $7.25 X = $748,374

=>  X = $748,374 / $7.25

=>   X = 103,184

Therefοre, fοr Met Manufacturing tο turn a prοfit, 103,184 sunglasses must be sοld.

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Solve the system by back substitution.

- 4x - 8y - 22 - 6w = 4 (I)

y +62 + 2w = 8 (II)

Z + W = 2 (III)

5w = 15 (IV)

We'll start by equation (IV):

5w=15

w=3

Now, (III):

z+w=2

z+3=2

z=-1

Now, we follow to (II)

y+62+2w=8

y+62+6=8

y=8-68

y=-60

FInally, equation (I):

-4x-8*(-60)-22-6*3=4

-4x +480-22-18=4

-4x=4-440

-4x=-436

x=109

The solution set is: S={109, -60, -1, 3}

what kind of single transformation changes shape A to shape b

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

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2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.

Specifically, the identity states that 2 cos A sin B can be written as

sin(A + B) + sin(A - B).

Applying this identity, we have:

2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)

Simplifying the expressions inside the sine functions:

sin(102) + sin(-32)

Since the sine function is an odd function,

sin(-x) = -sin(x),

so we can rewrite the equation as:

sin(102) - sin(32)

Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

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