What is the solution of the graph?

Answer:

A 4955.30

Step-by-step explanation:

A = P ( 1+i) ^ t

where A is the amount in the account

P is the principal

i is the interest rate

and t is the time in years

A = 4000(1+.055)^4

A = 4000(1.055)^4

A = 4955.2986025

Rounding to the nearest cent

A = 4955.30

Answer:

To maximize the income should be 28 buses and 160 cars

Step-by-step explanation:

Let

x-----> the number of cars

y ----> the number of bus

we know that

[tex]5x+32y\leq1,710[/tex] ------> inequality A

[tex]x+y\leq 189[/tex] ----> inequality B

The function of the cost to maximize is equal to

[tex]C=2x+6y[/tex]

Solve the system of inequalities by graphing

The solution is the shaded area

see the attached figure

The vertices of the solution are

(0,0),(0,53),(160,28),(189,0)

Verify

(0,53)

[tex]C=2(0)+6(53)=\$318[/tex]

(160,28)

[tex]C=2(160)+6(28)=\$488[/tex]

therefore

To maximize the income should be 28 buses and 160 cars

Answer:

There should be 30 buses in the lot to max out income

Step-by-step explanation:

Answer:

Number of Large Pizzas: 30

Number of Medium Pizzas: 8

Number of Small Pizzas: 27

Step-by-step explanation:

L = # of large Pizzas

M = # of medium Pizzas

S = # of small Pizzas

Amount:

L = 4M - 2

S = 3M + 3

Cost:

21L + (I'm assuming you meant 14) 14M + 7S = 931

Plus in the Amounts to the Cost:

21(4M - 2) + 14M + 7(3M + 3) = 931

84M - 42 + 14M + 21M +21 = 931

Combine like terms:

119M - 21 = 931

Isolate the Variable:

119M - 21 + 21 = 931 + 21

119M = 952

119M/119 = 952/119

M = 8

Plug it into the Amount equations:

Large: L = 4(8) - 2

L = 32 - 2

L = 30

Small: S = 3M + 3

S = 3(8) + 3

S = 24 + 3

S = 27

Check your work (plug the values into Cost.):

21(30) + 14(8) + 7(27) = 931

630 + 112 + 189 = 931

931 = 931

The number of medium pizzas ordered was 10. Hence, based on the given relationships, the number of large pizzas was 38 and the number of small pizzas was 33.

To solve this problem, really, we are using three algebraic expressions that represent the total cost, the relationship between the large and medium pizzas, and the relationship between the small and medium pizzas.

We can define M as the number of medium pizzas, L as the number of large pizzas, and S as the number of small pizzas. We can then set up the following equations based on the problem:

We can substitute equations 2 and 3 into equation 1 to get a single equation in terms of M:

$21(4M-2) + $14M + $7(3M+3) = $931

Which simplifies to:

93M = 931

Then, M=10, hence, the number of medium pizzas is 10, number of large pizzas (4M-2) is 38, and the number of small pizzas (3M+3) is 33.

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The correct answer is option d) ( y = -x + 2 ).

Let's analyze each option to determine which equation does not represent the line passing through the points (1, 1) and (5, 5).

a) ( y = x ): This equation represents a line with a slope of 1 and passes through the origin. To check if it passes through (1, 1) and (5, 5), we substitute the coordinates into the equation:

- For (1, 1): ( 1 = 1 ) (True)

- For (5, 5): ( 5 = 5 ) (True)

The equation ( y = x ) is consistent with the given points.

b) ( y = 2x - 1 ): This equation represents a line with a slope of 2 and a y-intercept of -1. Checking with the given points:

- For (1, 1): ( 1 = 2(1) - 1 ) (True)

- For (5, 5): ( 5 = 2(5) - 1 ) (True)

The equation ( y = 2x - 1 ) is consistent with the given points.

c) ( 2y = 2x ): This equation can be simplified to ( y = x ), which we have already determined is consistent with the points.

d) ( y = -x + 2 ): Checking with the given points:

- For (1, 1): ( 1 = -1 + 2 ) (True)

- For (5, 5): ( 5 = -5 + 2 ) (False)

The equation ( y = -x + 2 ) does not pass through the point (5, 5).

QUESTION

Which of the following equations does not represent the line passing through the points (1, 1) and (5, 5)?

a) ( y = x )

b) ( y = 2x - 1 )

c) ( 2y = 2x )

d) ( y = -x + 2 )

Answer:

Step-by-step explanation:

Formula

Number of students voting = (ratio of those voting / total) * total students.

Givens

ratio: those voting = 4

ratio: total number = 5

total students = 825

Solution

Voting students = (4/5)*825

voting students = 0.8 * 825

voting students = 660            

Answer:

5/18

Step-by-step explanation:

speed = distance / time

s = (2/9 miles) / (4/5 hours)

To divide by a fraction, multiply by the reciprocal:

s = (2/9) × (5/4)

s = 10/36

s = 5/18

So the snake's speed is 5/18 miles per hour.

Final answer:

To calculate the snake's speed, you divide the distance (2/9 miles) by the time (4/5 hours), resulting in a speed of 5/18 miles per hour.

Explanation:

To calculate the snake's speed in miles per hour, we divide the distance traveled by the time taken. The snake slithers 2/9 miles in 4/5 hours, which can be written as a rate equation:

Speed = Distance ÷ Time

Plugging in the numbers, we calculate:

Speed = (2/9) miles ÷ (4/5) hours

To find the speed in miles per hour, we solve the equation:

Speed = (2/9) ÷ (4/5)

To divide one fraction by another, we multiply by the reciprocal of the divisor:

Speed = (2/9) × (5/4)

Speed = (2×5) ÷ (9×4)

Speed = 10/36

When this fraction is simplified, it equals 5/18 miles per hour.

If we want to relate it to units of m/s as the reference information suggests, we can use an online unit converter or unit analysis, considering that 1 mile per hour is approximately equal to 0.44704 meters per second.

Answer:

    -9/7

Step-by-step explanation:

To find the slope given 2 points, we use the formula

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

 where (x1,y2) and (x2,y2) are the two points

m = (-3-6)/(5--2)

m = (-3-6)/(5+2)

   = -9/7

Answer:

y=-1.3x+3.4

Step-by-step explanation:

[tex]x^2+2x+1=(x+1)^2[/tex]

Answer:

(x+1)(x+1)

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

The rate of change of the biking trail is determined using the slope formula. The slope of the line passing through the given coordinates is -5/3.

The rate of change of the biking trail can be determined using the slope formula. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula slope = (y2 - y1) / (x2 - x1).

Using the given coordinates (-3, 14) and (6, -1), we can substitute the values into the formula to find the rate of change of the biking trail.

slope = (-1 - 14) / (6 - (-3)) = -15 / 9 = -5/3

Therefore, the rate of change of the biking trail is -5/3.

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Answer:

4x2−25

Step-by-step explanation:

yes

Answer:

4x^2-25

Step-by-step explanation:

Answer:

your answer would be A -9 9/14

Answer:

Step-by-step explanation:

Area of a triangle is A=(1/2)*base*height

A = (1/2)*(4.4)*(3.3) = 0.726 cm2

D ! :)

Got it wrong, and it showed me the correct answer. IT IS NOT B.

A school assembly has 179 students in it. Nine teachers escort k number of students out of the assembly, until there are 26 students remaining

The equation for the situation is given as;

26 = 179 - 9k

From the equation above, 26 is the result of the difference between "179" and "9k".

Thus, the situtation that bets represent the equation is, a school assembly has 179 students in it. Nine teachers escort k number of students out of the assembly, until there are 26 students remaining.

Learn more about model equation here: https://brainly.com/question/25987747

The x-intercepts of the parabola are [tex]\(x = -3 + \sqrt{\frac{14}{3}}\) and \(x = -3 - \sqrt{\frac{14}{3}}\).[/tex]

To find the x-intercepts of the parabola, we need to set y=0 in the equation of the parabola and solve for x.

Given that the vertex of the parabola is [tex]\((-3, -14)\),[/tex] the equation of the parabola can be expressed in the form [tex]\(y = a(x - h)^2 + k\)[/tex], where [tex]\((h, k)\)[/tex]represents the vertex and a is the coefficient determining the direction and width of the parabola.

Using the vertex form, we have:

[tex]\[ y = a(x + 3)^2 - 14 \][/tex]

We know that the y-intercept is (0,13) so when x=0, y=13:

[tex]\[ 13 = a(0 + 3)^2 - 14 \]\[ 13 = a(9) - 14 \]\[ 13 = 9a - 14 \]\[ 9a = 13 + 14 \][/tex]

[tex]\[ 9a = 27 \]\[ a = \frac{27}{9} \]\[ a = 3 \][/tex]

So, the equation of the parabola is:

[tex]\[ y = 3(x + 3)^2 - 14 \][/tex]

Now, to find the x-intercepts, we set y=0:

[tex]\[ 0 = 3(x + 3)^2 - 14 \]\[ 3(x + 3)^2 = 14 \]\[ (x + 3)^2 = \frac{14}{3} \][/tex]

Now, we take the square root of both sides:

[tex]\[ x + 3 = \pm \sqrt{\frac{14}{3}} \][/tex]

For this case we must find the value of n of the following equation:

[tex]n + \frac {1} {5} n = 24[/tex]

Taking common factor "n" from the left side of the equation we have:

[tex]n (1+ \frac {1} {5}) = 24\\n \frac {6} {5} = 24[/tex]

Multiplying by 5 on both sides of the equation:

[tex]6n = 120[/tex]

Dividing between 6 on both sides of the equation:

[tex]n = 20[/tex]

Thus, the value of n is 20.

Answer:

[tex]n = 20[/tex]

Answer: Second Option

[tex]n = 20[/tex]

Step-by-step explanation:

Let's call n the number searched.

Then one fifth of this number is written as

[tex]\frac{1}{5}n[/tex]

Then at 1 / 5n the number n is added.

So, we have

[tex]n + \frac{1}{5}n[/tex]

Now we know that the result of this sum is equal to 24. Then we write the equation:

[tex]n + \frac{1}{5}n = 24[/tex].

Now we solve the equation:

[tex]\frac{6}{5}n = 24[/tex]

Muple both sides of equality by [tex]\frac{5}{6}[/tex]

[tex]\frac{5}{6} * \frac{6}{5}n = 24*\frac{5}{6}[/tex]

[tex]n = 20[/tex]

Answer:

4

Step-by-step explanation:

hdhfy+_-_+4-_+_6+_-$(64&4

Answer:

B: Directly; $5.10

Step-by-step explanation:

1 pound of apples = $1.50

so

3.4 pounds of apples = $1.50 x 3.4

                                    =$5.10

Answer:

Explanation:

The pattern of the game consists on 7 congruent (necessary assumption) rectangles.

The dimensions of such congruent rectangles are given for the rectangle number 6: lenght = t + 3 (a binomial) and width = t (a monomial).

So, the area of each rectangle is found as the product of a monomial and a binomial:

Apply distributive property:

Since that is the area on one rectangle, you have to mulply by the number of reactangles (7):

Answer:

Step-by-step explanation:

Given is a form of hopscotch called Jumby.

The pattern consists of 7 identical rectangles with length t+3 and width 5

To find area it is necessary to add the totals of all 7 rectangles

OR area = 7 * area of one rectangle

Area of one rectangle [tex]= lw \\= t(t+3)\\= t^2+3t[/tex]

Hence area of whole figure = [tex]7(t^2+3t)\\=7t^2+21t[/tex]

ANSWER

[tex]y = - 4 {x}^{2} + 4x - 3[/tex]

EXPLANATION

Let the quadratic function be

[tex]y = a {x}^{2} + bx + c[/tex]

We substitute each point to find the constants, a,b, and c.

Substitute: (x=0,y=-3)

[tex] - 3 = a {(0)}^{2} + b(0) + c[/tex]

[tex] \implies \: c = - 3...(1)[/tex]

Substitute: (x=-1,y=-11) and c=-3

[tex] - 11 = a {( - 1)}^{2} + b( - 1) + - 3[/tex]

[tex] \implies \: - 11 = a - b - 3[/tex]

[tex] \implies \: a - b = - 8...(2)[/tex]

Substitute: (x=3,y=-27) and c=-3

[tex] -27= a {( 3)}^{2} + b( 3) + - 3[/tex]

[tex] \implies \: - 27 = 9a + 3b - 3[/tex]

[tex]\implies \: 3a + b = - 8...(3)[/tex]

Add equations (3) and (2)

[tex]3a + a = - 8 + - 8[/tex]

[tex]4a = - 16[/tex]

[tex]a = - 4[/tex]

Put a=-4 in equation (2)

[tex] - 4 - b = - 8[/tex]

[tex] - b = - 8 + 4 [/tex]

[tex] - b = - 4[/tex]

[tex]b = 4[/tex]

The quadratic equation is

[tex]y = - 4 {x}^{2} + 4x - 3[/tex]

Final answer:

To fit a quadratic function to the three given points, we use the general form y = ax² + bx + c and set up a system of equations. Solving the system yields the function y = -2x² + 6x - 3.

Explanation:

To fit a quadratic function to the points (-1, -11), (0, -3), and (3, -27), we need to find a function of the form y = ax² + bx + c where a, b, and c are constants. We will set up three equations based on the given points:

Solving these equations gives us a system:

From the second equation, we have c = -3. Inserting that into the first and third equations:

Solving this system gives us a = -2 and b = 6.

Therefore, the quadratic function fitting the points is y = -2x² + 6x - 3.

Answer:

Multiply 5π/6 by 180/π, you will get answer 150°.

Answer: [tex]150^{\circ}[/tex]

Step-by-step explanation:

To convert a radian measure to degrees , we generally multiply it by 180° and divide it by [tex]\pi[/tex].

Given : [tex]m. \overarc{XYZ}=\dfrac{5\pi}{6}\text{radian}[/tex]

Then, In degrees it should be

[tex]m. \overarc{XYZ}=\dfrac{5\pi}{6}\times\dfrac{180^{\circ}}{\pi}\\\\\Rightarrow m.\overarc{XYZ}=150^{\circ}[/tex]

Hence, the correct answer is [tex]150^{\circ}[/tex].

Answer:

see explanation

Step-by-step explanation:

The error is in Step 1, by not adding 2 on the left side, that is

Given

7.7 = w - 2 ( add 2 to both sides )

7.7 + 2 = w - 2 + 2

9.7 = w

Answer:

2767550

Step-by-step explanation:

looking at the number 2767545

reading number from right to left

the most right number is 0 there that is the ones digit

next right number is 4 that is the tens digit (that is what we are rounding to. we use the one right of the ten's digit to decide to round up or not. You round up if is 5 or more. So since the ones digit is 5, that is 5 or more. so we round the 4 in the ten's to a 5 and make one's 0.

---

If someone side round to nearest hundreds: it would be 2767500 because the digit directly to the right of it was a 4

Answer:

2767550.

Step-by-step explanation:

Th ten's digit is 4 and as the units digit is 5 we round up. That gives us

2767550.

If you cut the wire in half and pass 24 volts through it, you would measure 400 milliamps of current.

Ohm's law states that the current (I) through a wire is directly proportional to the voltage (V) and inversely proportional to the resistance (R). The formula is given by:

[tex]\[ I = \frac{V}{R} \][/tex]

If you double the voltage (V) and cut the wire in half, the length of the wire (which affects resistance) is also halved. Let's denote the original resistance as [tex]\( R_1 \)[/tex] and the halved resistance as [tex]\( R_2 \)[/tex]. The new equation becomes:

[tex]\[ I_2 = \frac{V_2}{R_2} \][/tex]

Now, since resistance is directly proportional to the length of the wire, we can write:

[tex]\[ R_2 = \frac{1}{2} \cdot R_1 \][/tex]

Substitute this into the previous equation:

[tex]\[ I_2 = \frac{V_2}{\frac{1}{2} \cdot R_1} \][/tex]

Now, let's use the information given. Initially, [tex]\( V_1 = 12 \)[/tex] volts and [tex]\( I_1 = 100 \)[/tex] milliamps. We can find [tex]\( R_1 \)[/tex] using Ohm's law:

[tex]\[ R_1 = \frac{V_1}{I_1} \][/tex]

Substitute the values:

[tex]\[ R_1 = \frac{12 \, \text{volts}}{100 \, \text{milliamps}} = 120 \, \text{ohms} \][/tex]

Now, substitute [tex]\( R_1 \)[/tex] into the equation for [tex]\( I_2 \)[/tex]:

[tex]\[ I_2 = \frac{24 \, \text{volts}}{\frac{1}{2} \cdot 120 \, \text{ohms}} \][/tex]

Simplify:

[tex]\[ I_2 = \frac{24 \, \text{volts}}{60 \, \text{ohms}} \][/tex]

[tex]\[ I_2 = 0.4 \, \text{amps} \][/tex]

To convert amps to milliamps, multiply by 1000:

[tex]\[ I_2 = 0.4 \, \text{amps} \times 1000 = 400 \, \text{milliamps} \][/tex]

Therefore, if you cut the wire in half and pass 24 volts through it, you would measure 400 milliamps of current.

By applying Ohm's law, the new current measured after cutting the wire in half and applying 24 volts is calculated to be 400 milliamps.

According to Ohm's law, the current (I) through a resistor is directly proportional to the voltage (V) and inversely proportional to the resistance (R), as described by the equation I = V / R. Given the initial conditions of 12 volts and 100 milliamps of current, we can calculate the resistance of the wire using R = V / I. The resistance (R) would then be 120 ohms.

When the wire is cut in half, the resistance is halved because resistance is directly proportional to the length of the wire. Now, with a resistance of 60 ohms and applying 24 volts across it, the new current can be calculated with Ohm's law by I = V / R, which gives us I = 24 V / 60 Ω = 0.4 A, or 400 milliamps of current.

Answer:

-5

Step-by-step explanation:

On the number line, the arrow is from -2 (opens) to the left; that means solutions will be any values less than -2

So

-5 < -2 : YES ( solutions will be any values less than -2)

-2 = -2 : NO  (solutions will be any values less than -2)

0 > -2 : NO  (solutions will be any values less than -2)

3 > -2 : NO  (solutions will be any values less than -2)

Answer

- 5

Answer:

-5

Step-by-step explanation:

First

(open circle) means < or >

 (closed circle) means < or >

SInce the arrow is pointing to the left the answer would be to the left.

So -3, -4, -5, -6, -7, -8, -9, -10etc

so -5 is one of them so thats ur answer

Answer:

slope = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 5 is in this form with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

Slope [tex]m_{2} = \frac{-1}{2}[/tex].

Step-by-step explanation:

Given  :  equation is y = 2x+5.

To find : What is the slope of a line perpendicular to the line.

Solution : We have given y = 2x+5.

On comparing by the slope form of line is

y = mx + b

where, m = slope , b = y-inercept.

So , [tex]m_{1}[/tex] = 2 .

When the two line are perpendicular to each other then thier slope is

[tex]m_{2} = \frac{-1}{m_{1}}[/tex].

Then plug the value of  [tex]m_{1}[/tex] = 2 .

[tex]m_{2} = \frac{-1}{2}[/tex].

[tex]m_{2} = \frac{-1}{2} [/tex].

Therefore, Slope [tex]m_{2} = \frac{-1}{2}[/tex].

[tex]\dfrac{2n}{3n}=\dfrac{2\cdot \not n}{3\cdot\not n}=\dfrac{2}{3}[/tex]

Answer:

4x - 3y -18 = 0 or y = 4x/3 - 6

Step-by-step explanation:

We will have to find the slope of the line first

The formula for slope:

[tex]m =\frac{y_{2}- y_{1} }{x_{2} -x_{1} } \\m= \frac{-2-2}{3-6}\\ =\frac{-4}{-3}\\ =\frac{4}{3}[/tex]

The standard form of equation of a line is:

y = mx + b

We know m,

So the equation will be:

[tex]y= \frac{4}{3}x+b[/tex]

We have to find the value of b, for that we will put any one of the point in the equation

So, putting (6,2)

2 = 4/3 * 6 + b

2 = 8 +b

b = -6

Putting the value of m and b in the standard form of equation of line,

[tex]y = mx + b\\y = \frac{4}{3}x+(-6)\\y = \frac{4}{3} x - 6\\Multiplying\ both\ sides\ by\ 3\\3y = 4x - 18\\4x - 3y -18 = 0[/tex] ..