Connor is driving to a concert and needs to pay for parking. There is an automatic fee
of $8 just to enter the parking lot, and when he leaves the lot. he will have to pay an
additional $2 for every hour he had his car in the lot. How much total money would
Connor have to pay for parking if he left his car in the lot for y hours? How much
vould Connor have to pay if he left his car in the lot for t hours?

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

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

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

Learn more about slopes at:

https://brainly.com/question/3493733

#SPJ1

may be 176 units 2.

i dont know correctly i think this is the answer

Answer:

B. \( y = 3x - 4 \)

Step-by-step explanation:

First, using two points (0, -4) and (3, 5), find slope:

\(  m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-4)}{3 - 0} = \frac{9}{3} = 3 \)

Slope, m = 3

Next, determine the y-intercept, b.

The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.

From the graph given, y-intercept, b, is -4.

Substitute b = -4 and m = 3 into \( y = mx + b \).

The equation would be:

✔️\( y = 3x - 4 \)

The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

Learn more about central limit theorem here:

https://brainly.com/question/18403552

#SPJ1

Answer:

D) A search warrant

Step-by-step explanation:

A search warrant is required before the search and collection of evidence to ensure legal authorization and protection of individuals' rights against unreasonable searches and seizures.

Option B, "A crime", is incorrect because the presence of a crime is not a prerequisite for conducting a search and collection of evidence. There are various situations where searches and evidence collection may occur without a crime being involved, such as regulatory inspections, consented searches, or investigations into potential threats or risks.

By your logic when you say law enforcement can conduct a search without a search warrant if there is consent by the owner, that would mean option A would be right, but of course, it's not.

Answer:

For f(x) to be differentiable at 2, k = 5.

Step-by-step explanation:

For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.

For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.

Now,

f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.

As h tends to 0, lim (5 – 2h) = 5

Also

f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h

As h tends to 0, lim (5 + 3h) = 5.

So, for f(2) to be continuous k = 5

The bench costs $375, and the garden table costs $295. Together, they amount to $670, with the table being $80 cheaper than the bench.

Let the cost of the bench be x. Then the cost of the garden table is x-80. The sum of the costs of both items is $670. So we have the equation: x + (x-80) = $670.

Simplifying this, we get 2x - 80 = $670  + 80 2x = $750  x = $375. So the cost of the bench is $375. The garden table costs $375 - $80 = $295. A garden table and a bench cost $670 combined.

The garden table costs $80 less than the bench. To find the cost of the bench, we can use algebraic equations. Let the cost of the bench be x. Then, the cost of the garden table is x - 80.

The sum of both costs is $670. Using this information, we can form an equation: x + (x - 80) = $670. Simplifying, we get 2x - 80 = $670 + 80. Solving for x, we get x = $375.

Therefore, the cost of the bench is $375, and the cost of the garden table is $295.

For more questions on algebraic equations

https://brainly.com/question/4344214

#SPJ8

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Answer:

Step-by-step explanation:

If y=0

6=3(0) -2y

6= -2y

6÷ -2   -2y÷ -2

-3=y

If x=0

*Same steps*

6=3x - 2(0)

6/3=3x/3

x=2

Answer:

y=4

Step-by-step explanation:

Another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

Multiplication is when you take one number and add it together a number of times. Example: 5 multiplied by 4 = 5 + 5 + 5 + 5 = 20. We took the number 5 and added it together 4 times. This is why multiplication is sometimes called "times".

Given are three numbers multiplied, 4x2x5, we need to find the another way to solve it,

So,

4x2x5 = 40

So, in another method,

Multiply 4 and 2, we get, 8 as product, now multiply the product 8 to the last number 5,

8x5 = 40

Hence, the another way to find 4x2x5 is to multiply two of the digits and multiply the last digit with the product of two.

Learn more about multiplication, click;

https://brainly.com/question/5992872

#SPJ9

The question is incomplete solved for:

Find the another method to solve 4x2x5

The measure of the length EF of the triangle is; 21

We are given the the triangle BCD and we are told that;

E is the midpoint of BD.

F is the midpoint of CD

Now, since we have those midpoints, it means that by the concept of similar triangles, that;

DF/DC = EF/BC

Since F is the midpoint of DC, then it means that;

2DF = DC

We are given;

EF = 43 - 4x, and BC = 32 - 2x

Thus, we now have;

DF/(2DF) = (43 - 4x)/(32 - 2x)

1/2 = (43 - 4x)/(32 - 2x)

Cross multiply to get;

32 - 2x = 43 - 4x

4x - 2x = 43 - 32

2x = 11

x = 11/2

x = 5.5

Thus;

EF = 43 - 4(5.5)

EF = 43 - 22

EF = 21

Thus, we conclude that the side length EF is 21.

Read more about similar triangles at; https://brainly.com/question/14285697

#SPJ1

The solution to the system substitution is (x , y) = (-3,3).

Here it is given that,

y=-2 x -3 and y= 3 x + 12

Take y=-2 x -3 as equation 1,

y= 3 x + 12  as equation 2'

by equating both equations,

-2x-3=3x+12

-3-12=3x+2x

5x=-15

x=-15/5

 =-3

substituting the value of x in the equation1

y=-2x-3

y=-2(-3)-3

 =3

Hence, The solution to the system substitution is (x , y) = (-3,3).

To learn more about substitution refer to:

https://brainly.com/question/22340165

#SPJ1

Answer: x = 6

Step-by-step explanation:

18x - (8x - 7) = 67

18x - 8x + 7 = 67

10x + 7 = 67

10x = 60

x = 6

Answer:

The value of x is 6.

Step-by-step explanation:

Given equation,

→ 18x - (8x - 7) = 67

Now the value of x will be,

→ 18x - (8x - 7) = 67

→ 18x - 8x + 7 = 67

→ (10x) + 7 = 67

→ 10x = 67 - 7

→ 10x = 60

→ x = 60/10

→ [ x = 6 ]

Hence, the value of x is 6.

Answer: \(2\sqrt{6}\)

Step-by-step explanation:

Find the perfect square root(1,4,9,16.....) of 24 which is 4.

\(\sqrt{4 x 6}\)=\(\sqrt{24}\)

sqr root of 4 is 2 so that becomes

\(2\sqrt{6}\)

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Solution of 9x+8y=26 and 3x+2y=9 are given by (C)  \(\mathbf{x=\frac{10}{3},y=-\frac{1}{2}}\).

We have to plot the graphs of the given two lines or curves, then we have to find the intersection point(s) of the curves or lines. That point is the solution for the system of the equations.

Given equations are,

9x+8y=26 .................(1)

3x+2y=9 ...................(2)

Now multiplying 3 with (2) and then subtracting (1) from that we get,

3(3x+2y)-(9x+8y)=3(9)-26

9x+6y-9x-8y=27-26

-2y=1

y=-1/2, on dividing both sides by -2

Substituting the value of y in (1) we get,

9x+8(-1/2)=26

9x-4=26

9x=26+4

9x=30

x=30/9=10/3

Also if we draw the graphs of the given equations by using graphing calculator we get,

Here in the graph we can see that the lines represented by the given equations intersects each other at point \(\left(\frac{10}{3},-\frac{1}{2}\right)\).

Hence the solution is \(x=\frac{10}{3},y=-\frac{1}{2}\).

Thus the correct option is (C).

Learn more about System of equations here -

https://brainly.com/question/1365672

#SPJ10

Yes, 3 divides 27,333. We have

27,333 = 27,000 + 333

… = 27•1,000 + 333

… = 3•9•1,000 + 3•111

… = 3•(9•1,000 + 111)

… = 3•(9,000 + 111)

… = 3•9,111

Answer:

34

Step-by-step explanation:

Answer:

157 party delegates is 1/7 of 1100. Multiply that by 6/1 to get 6/7. 157 multiplied by 6 is 942. 942/110

Add 157 + 942 to get 1100

I've tried this before and for me it was pretty confusing but I eventually figured it out

I hope this helps!

We have the recursive sequence

A. Calculating the first four terms of the sequence, we get:

This way,

B. Let's calculate the 9th term:

This way, we get that:

Now, we need to compare

To do so, we'll use their LCM: 160

Therefore, we can conclude that

(The term is larger than 1/10)

Answer:

The 1st graph is the answer and matches

-x/2 + 2   -2  ≤ x < 2 because it is equal to -2

The 4th graph is incorrect slightly at = 2x - 3   x  ≥ 2

as  the graph is descending and shows x = -1/2 as the gradient 4/-2 = -1/2

m = -1/2 would be the equation.

Therefore 2 (-1/2) = -1 and  -1 - 3 = -4 and 4 is not  greater than 2 so is wrong/.

Step-by-step explanation:

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

Learn more about linear equations at: https://brainly.com/question/2030026

#SPJ1

A. Commercial 540

Residential 360

B. Commercial 585

Residential 390

a) Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors .

First step is to calculate the Plantwide overhead rate using this formula

Plantwide overhead rate =Estimated overhead /Estimated machine hours

Let plug in the formula

Plantwide overhead rate = 1080000/9000

Plantwide overhead rate = $ 120 per MH

Now let Determine the per-unit factory overhead allocated to the commercial and residential motors

Using this formula

Per -unit factory overhead allocated=Actual MH per unit *Plantwide overhead rate

Let plug in the formula

Per -unit factory overhead allocated to COMMERCIAL=4.5 dmh*120

Per -unit factory overhead allocated to COMMERCIAL=540

Per -unit factory overhead allocated to RESIDENTIAL=3.0 dmh*120

Per -unit factory overhead allocated to RESIDENTIAL=360

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the single plantwide factory overhead rate method will be:

Commercial 540

Residential 360

b. Calculation to Determine the per-unit factory overhead allocated to the commercial and residential motors

First step is to calculate the Departmental overhead rate

ASSEMBLY TESTING

Estimated overhead 280,000 800,000

÷Estimated machine hours each department 4,000 5,000

=Departmental overhead rate 70 160

Now calculation the per-unit factory overhead allocated to the commercial and residential motors

COMMERCIAL RESIDENTIAL

Assembly 1.5 dmh*70=105 1.0 dmh*70=70

Testing 3.0*160= 480 2.0*160= 320

Per -unit factory overhead allocated 585 390

(105+480=585)

(70+320=390)

Therefore the per-unit factory overhead allocated to the commercial and residential motors under the multiple production department factory overhead rate method will be:

Commercial 585

Residential 390

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

Answer:

\(\sqrt{185}\) or 14 (13.6)

Step-by-step explanation:

Compute the distances between

\(\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

The distances between ↑ are

\(\sqrt{\left(12-4\right)^2+\left(27-16\right)^2}\)

Simplify

\(\sqrt{185}\) or 14

hope this helps

~R3V0

The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

More can be learned about inverse functions at https://brainly.com/question/3831584

#SPJ1

To subtract two numbers in base 5, you perform the subtraction column by column, just like in base 10, but carrying and borrowing are done in base 5. Let's subtract 431 (base 5) - 144 (base 5):

431

- 144

42(1+5)

- 1 4

-------

2

42

- 1

-------

1

4

-

-------

4

431

- 144

-----

412