Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function. Y=2x+5

Answer:

The tank will be half empty after 37.5 min, or 37 min 30 sec.

Step-by-step explanation:

"Half empty" means that the tank still contains 75 gallons of water.

75 gallons

---------------- = 37.5 min

2 gal/min

The tank will be half empty after 37.5 min, or 37 min 30 sec.

Answer:

The correct answer option is C. 56.

Step-by-step explanation:

We are given that a group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets.

We are to find the number of combinations these 5 friends could

possibly receive the tickets.

Here, we will use the concept of combination as the order of the friends is not specific.

[tex]5C5+ (5C4 * 3C1) + (5C3*3C2) + (5C2*3C3)[/tex]

[tex]=1+5*3 + 10*3 +10*1 = 1+15+30+10=[/tex] 56

Answer:

Answer is C.

Step-by-step explanation:

The general formula for calculating combinations is:

[tex]\frac{n!}{k!(n-k)!}[/tex]

Where n is the total number of options and k is the number of options in the combination.

In this case, sub in the numbers given in the question:

[tex]\frac{8!}{5!(8-5)!}[/tex]

[tex]=\frac{8\times 7 \times 6 }{3 \times 2}[/tex]

[tex]=8 \times 7[/tex]

[tex]=56[/tex]

Answer:

x = 5

Step-by-step explanation:

The formula for the gradient is given by:

m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.

Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:

2.5 = (13 - 8)/(x - 3)

2.5(x - 3) = 5 (Multiply both sides by (x - 3))

x - 3 = 2 (Divide both sides by 2.5)

x = 5 (Add 3 to both sides)

Thus, the value of x is 5.

[tex]\bf J(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})\qquad K(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-(-5)}{-6-(-4)}\implies \cfrac{3+5}{-6+4}\implies \cfrac{8}{-2}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-5)=-4[x-(-4)]\implies y+5=-4(x+4)[/tex]

[tex]\bf y+5=-4x-16\implies y=-4x\stackrel{b}{\boxed{-21}}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

If you are multiply, and all of the numbers are the same, then you add the powers. And if you divide, you subtract the powers.

Since all of the base numbers are the same (there are all x), then you add the powers:

x⁵ * x⁴ * x³ = x¹²               ( 5 + 4 + 3 = 12)

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

Answer:

x¹²

Answer:

b= 3

Step-by-step explanation:

2b + 24 = 30

combine the like terms

2b = 30 - 24

2b = 6

divide via by 2

b = 6/2

b = 3

Please mark me brainliest

Answer:

9/5 is 4 over 1 so you would have 1 and add 4 on and since it is out of 9 it would be 1 4/5

Step-by-step explanation:

The mixed fraction  [tex]1 \frac{4}{5}[/tex] after solving gives the value of the fraction as 9/5.

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). A proper fraction is also called a fraction that is less than 1. A mixed fraction contains a sum of a whole number and a proper fraction.

We know that 9/5 is 4 over 1

Therefore, we would have 1 and add 4 on.

Since it is out of 9 then it would be [tex]1 \frac{4}{5}[/tex]

Hence, the mixed fraction  [tex]1 \frac{4}{5}[/tex] after solving gives the value of the fraction as 9/5.

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Answer:

mean=1.6

Step-by-step explanation:

The mean is the average of numbers so it is 0+1+2+2+3=8/5

Answer:

1.6

Step-by-step explanation:

To find the mean we divide the jokers by the decks of cards. There are 8 jokers and 5 decks of cards. 8/5=1.6. The mean is 1.6

Answer:

If it is sediment: A sediment trap is a T-shaped pipe configuration designed to catch any debris in a gas line before it goes into the appliance.

Or if it was a typo and its supposed to say segment:line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints.

Step-by-step explanation:

I know this because of the help of google.

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}6&18\end{array}\right]}[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}4&2\end{array}\right] \times\left[\begin{array}{ccc}-2&5\\7&-1\end{array}\right] =\left[\begin{array}{ccc}(4)(-2)+(2)(7)&(4)(5)+(2)(-1)\end{array}\right] \\\\=\left[\begin{array}{ccc}-8+14&20-2\end{array}\right] =\left[\begin{array}{ccc}6&18\end{array}\right][/tex]

Answer:

24.997 = 25.00 (rounded off to 2 decimal figures)

Step-by-step explanation:

By observation, we can see that both straight lines are of equal length and that the angle between the lines is 90°. Hence we can conclude that this is a quadrant of a circle with radius, r =  7 cm.

length of the curved section

= 1/4 x circumference of the circle

= 1/4 x 2πr

= 1/4 x 2 x 3.142 x 7

= 10.997 cm²

HEnce circumference = 10.997 + 7 + 7 = 24.997 = 25.00 (rounded off to 2 decimal figures)

Answer:

[tex]\large\boxed{d=\dfrac{C}{\pi}}[/tex]

Step-by-step explanation:

It's the formula of a circumference:

[tex]C=\pi d[/tex]

d - diameter

Solve for d:

[tex]\pi d=C[/tex]          divide both sides by π

[tex]d=\dfrac{C}{\pi}[/tex]

Answer:

he is right. you need to divide both sides by pie which is 3.14

Step-by-step explanation:

There are 8 possible outcomes when you throw a coin three times:

[tex]HHH,\ HHT,\ HTH,\ HTT,\ THH,\ THT,\ TTH,\ TTT[/tex]

Out of these combination, the ones with exactly two heads are

[tex]HHT,\ HTH,\ THH[/tex]

So, 3 combinations out of 8 have exactly two heads. This means that the probability of having two heads with three coin throws is 3/8

Answer:  [tex]\bold{\dfrac{3}{8}}[/tex]

Step-by-step explanation:

Step 1: Numerator

You are looking for an outcome of getting exactly two heads out of a total of three tosses.  This can be written as: ₃C₂

The formula for a combination problem is: [tex]\dfrac{n!}{r!(n-r)!}[/tex]

[tex]_3C_2=\dfrac{3!}{2!(3-2)!}=\dfrac{3\times2\times1}{2\times1\times 1}=3[/tex]

There are 3 successes (heads)

Step 2: Denominator

You are looking for the total possible combinations of heads and tails for three tosses (2³)

1st toss and 2nd toss and 3rd toss

     2       x          2         x         2       =  8 total possible outcomes    

Given that Noemi makes a bracelet that averages $0.60 per bead, we need to write an equation that models this average bead cost. This can be found by taking the total cost of the beads and dividing it by the number of beads used.

1. The total cost of the beads may be found by multiplying the price of each type of bead by the number used, and then adding these values together. Thus:

Total Cost = 0.75x + 3*0.3

= 0.75x + 0.9

2. Total number of beads = x + 3

3. Thus, the average cost is:

(0.75x + 0.9)/(x + 3)

4. Using the value of the average cost per bead given to us ($0.60), we can now write up the full equation:

0.6 = (0.75x + 0.9)/(x + 3)

The equation that represents Noemi's situation with the beads is [(0.75x) + (3*0.30)] / (x + 3) = 0.60, where x is the number of green beads. This equates the average cost per bead to the total cost of all the beads divided by the total number of beads.

Noemi strings together x green beads at $0.75 each with 3 blue beads at $0.30 each and she makes a bracelet that averages $0.60 per bead. We can therefore write the situation as an equation where the total cost of the beads is equal to the average cost per bead times the total number of beads.

That is,[tex][(0.75x) + (3*0.30)] / (x + 3) = 0.60[/tex]

This equation represents the total cost of the green and blue beads (0.75x + 0.90), divided by the total number of beads (x + 3), is equal to the average cost per bead ($0.60). You can solve this equation for x to find the number of green beads Noemi used in her bracelet.

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Answer:

For data to be continuous, it can take on any value.

Step-by-step explanation:

For example, a line on a coordinate graph never stops at a certain point, if it does, it would be discrete.

Answer:

The difference in elevation is 7,716 ft

Step-by-step explanation:

Let

y -----> the elevation of Mt Owens

x -----> the elevation of the bolo cavern

we know that

To find the difference in elevation between the bolo cavern and Mt Owens, subtract the elevation of the bolo cavern from the elevation of Mt Owens

we have

y=7,295 ft ----> is positive because is above sea level

x=-421 ft ----> is negative because is below sea level

therefore

y-x=7,295-(-421)=7,295+421=7,716 ft

Final answer:

To determine the difference in elevation between Bolo Cavern and Mt. Owens, add the absolute values of their elevations: 421 feet below sea level and 7295 feet above sea level, respectively, resulting in a difference of 7716 feet.

Explanation:

The question asks for the difference in elevation between the Bolo Cavern, which is 421 feet below sea level, and Mt. Owens, which is 7295 feet above sea level. To find the difference in elevation, we add the absolute values of both elevations together since one is below sea level and the other is above.

The elevation of the Bolo Cavern is -421 feet (below sea level), and the elevation of Mt. Owens is +7295 feet (above sea level). The difference in elevation is:

|-421| + |7295| = 421 + 7295 = 7716 feet.

Therefore, the difference in elevation between the Bolo Cavern and Mt. Owens is 7716 feet.

Answer : The median of the given set of data of values is, 323

Step-by-step explanation :

Median : It is the middle term that is sorted by the list of numbers. It is determine by placing the numbers in increasing order.

For odd observations the formula will be: [tex]\frac{n+1}{2}[/tex]

For even observations the formula will be: [tex]\frac{n}{2}+1^{th}\text{ term}[/tex]

As we are given that the set of data:

307, 309, 323, 304, 390, 398

First we have to placing the numbers in increasing order.

304, 307, 309, 323, 390, 398

Now we have to determine the median.

For even data:

[tex]\frac{n}{2}+1^{th}\text{ term}[/tex]

n = 6

[tex]\frac{6}{2}+1^{th}\text{ term}[/tex]

[tex]4^{th}\text{ term}[/tex]

The number at 4th position is, 323

Thus, the median of the given set of data of values is, 323

Answer: I believe skewed right

Step-by-step explanation:

Their is a higher chance that it is skewed right because new workers will be coming in while long term workers will be retiring meaning that more workers will be toward the left side of the graph making anyone who has worked longer for the company possible outliers, which drags the graph to the right making it skewed right

Answer:

The data set would most likely be skewed right. The majority of employees would be paid an average amount, and only a few high-ranking employees would be paid significantly higher amounts. This data would result in a longer tail on the right with the majority of the data points on the left. In general, real-world situations are not symmetrical. This often occurs when one end of the range is bound by limits. In this case, the left side is bound by the minimum wage that must be paid to workers. On the right side, the president and other executives in the company probably don’t have a limit on their salaries.

Step-by-step explanation:

the plato answer

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

5x + y = 21 → (1)

x - 3y = 9 → (2)

Multiply (1) by 3 and add the result to (2) to eliminate y term

15x + 3y = 63 → (3)

Add (2) and (3) term by term

(x + 15x) + )- 3y + 3y) = (9 + 63)

16x = 72 ( divide both sides by 16 )

x = 4.5

Substitute x = 4.5 into (1) for corresponding value of y

22.5 + y = 21 ( subtract 22.5 from both sides )

y = - 1.5

Solution is (4.5, - 1.5 )

Answer:

B y=40

Step-by-step explanation:

60-3y+60=180-60

3y=120/3

y=40

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=7x+8&(1)\\y=x+20&(2)\end{array}\right\qquad\text{substitute (1) to (2):}\\\\7x+8=x+20\qquad\text{subtract 8 from both sides}\\7x=x+12\qquad\text{subtract x from both sides}\\6x=12\qquad\text{divide both sides by 6}\\x=2\\\\\text{put the value of x to (2):}\\\\y=2+22\\y=22[/tex]

41 minutes

When 9 people are painting 9 walls, there are the same amounts of people and walls.  This means all of the walls are being painted at the same time, with one person painting each wall.

The same applies to 14 people painting 14 walls.  All of the walls are being painted at the same time, with one person painting each wall.

Even if there was only one person painting one wall, it would take 41 minutes.

Answer:

41 minutes

Step-by-step explanation:

It takes 41 minutes for 9 people to paint 9 walls.

9 walls/ 9 people = 1 wall / person

So it takes 41 minutes  for 1 person to paint 1 wall

14 walls/ 14 people = 1 wall / person

It will take the same amount of time

41 minutes

Answer:

W is parallel to N and N is perpendicular to M  

Step-by-step explanation:

Answer:

3x+2=3x-2

Step-by-step explanation:

The second equation has no solution, because is not true

so

3x+2=3x-2 ------> is not true

therefore

The equation has no solutions

Answer:

[tex]3x+2=3x-2[/tex]

Step-by-step explanation:

When an equation has no solution there's no true value for x. What we have is a Contradiction, a false answer.

1)The first and the last equation has a true solution in the form:

[tex]0x=0[/tex]

True

2)The third one has a solution:

[tex]x=7[/tex]

True

3) The second one

[tex]3x+2=3x-2\\0x=-4[/tex]

FALSE

A Contradiction. Then, this one has no solution.

Answer:

[tex]\boxed{x = -1; \, x = 5}[/tex]

Step-by-step explanation:

(a) Set the two functions equal to each other

[tex]\begin{array}{rcl}y & = & 2x - 3\\y & = & x^{2} - 2x - 8\\2x - 3 & = & x^{2} - 2x - 8\\2x & = & x^{2} -2x - 5\\x^{2} - 4x - 5 & = & 0\\\end{array}[/tex]

(b) Factor the quadratic equation

Find two numbers that multiply to give -5 and add to give ₄9.

Possible pairs are 1, -5; -1, 5;

By trial and error, you will find that 1 and -5 work:

1 × (-5) = -5 and 1 - 5= -4

x² - 4x - 8 = (x + 1)(x - 5)

(c) Solve the quadratic

[tex]\begin{array}{rlcrl}x+ 1 & =0 & \qquad & x - 5 & =0\\x & = -1 & \qquad & x & = 5\\\end{array}\\\text{The solution to the system of equations is }\boxed{\mathbf{x = -1; x = 5}}[/tex]

the solutions to the equations is (-1, -5) and (5, 7)

Answer:

-3

Step-by-step explanation:

[tex]log_{2}[/tex] (1/8)

= [tex]log_{2}[/tex] 1 - [tex]log_{2}[/tex] 8  ( recall [tex]log_{2}[/tex]1 = 0)

= 0 -  [tex]log_{2}[/tex] 8

= -  [tex]log_{2}[/tex] 8  (change base to base 10)

= -  (log 8) / (log 2)     (now you can use a calculator)

= - 3

The log base 2 of [tex]\frac{1}{8}[/tex], i.e., [tex]\log_2 \frac{1}{8}[/tex] is -3.

In mathematics, the logarithm, denoted as "log," is an important mathematical function that represents the exponent to which a fixed base must be raised to obtain a given number. It is the inverse operation of exponentiation.

The logarithm function is typically written as [tex]log_b(x)[/tex], where x is the number for which we want to find the logarithm and b is the base. The base can be any positive number greater than 1, commonly used bases include 10 (logarithm to the base 10, often written as log(x)) and the mathematical constant e (natural logarithm, often written as ln(x)).

[tex]\log_2 \frac{1}{8}[/tex] = [tex]\log_2 2^-^3[/tex]

          = -3.

So, [tex]\log_2 \frac{1}{8}[/tex] is -3.

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First multiply 2 to both sides to isolate q. Since 2 is being divided by q, multiplication (the opposite of division) will cancel 2 out (in this case it will make 2 one) from the left side and bring it over to the right side.

[tex]\frac{q}{2}[/tex] × 2 < 2 × 2

q < 4

For the graph will you have a empty or colored in circle?

If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.

If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.

Which direction will the ray go?

If the variable is LESS then the number then the arrow will go to the left of the circle.

If the variable is MORE then the number then the arrow will go to the right of the circle.

In this case your inequality is:

q < 4

aka q is less then four

This means that the graph will have an empty circle and the arrow will go to the left of 4. (look at image below)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

Look at the picture

Step-by-step explanation:

[tex]<,\ >-\text{op}\text{en circle}\\\\\leq,\ \geq-\text{closed circle}\\\\<,\ \leq-\text{draw a ray to the left}\\\\>,\ \geq-\text{draw a ray to the right}[/tex]

[tex]\dfrac{q}{2}<2\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot\dfrac{q}{2\!\!\!\!\diagup_1}<2\cdot2\\\\q<4[/tex]

[tex]\text{op}\text{en circle on number 4}\\\\\text{draw a ray to the left}[/tex]

Answer:

K

Step-by-step explanation:

They scored a 9.35 and K is between 9.25 and 9.5.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the slope m = 2 and the y-intercept b = 0. Substitute:

y = 2x + 0 = 2x

Answer:  The correct option is (C) [tex]y=2x.[/tex]

Step-by-step explanation:  We are given that the slope of a line is 2 and the y-intercept is 0.

We are to find the equation of the line written in the slope-intercept form.

The equation of a line in slope-intercept form is given by

[tex]y=mx+c,[/tex] where m is the slope and c is the y-intercept of the line.

For the given line, we have

slope, m = 2   and   y-intercept, c = 0.

Therefore, the equation of the line in slope-intercept form will be

[tex]y=mx+c\\\\\Rightarrow y=2\times x+0\\\\\Rightarrow y=2x.[/tex]

Thus, the required equation of the line in slope-intercept form is [tex]y=2x.[/tex]

Option (C) is CORRECT.