Dylan is driving to a concert and needs to pay for parking. There is an automatic fee
of $5 just to enter the parking lot, and when he leaves the lot, he will have to pay an
additional s2 for every hour he had his car in the lot. How much total money would
Dylan have to pay for parking if he left his car in the lot for 6 hours? How much
would Dylan have to pay if he left his car in the lot for t hours?

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Explanation:

Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2

So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.

Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.

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(a+b)^2 = a^2+2ab+b^2

(2x+5)^2 = (2x)^2+2*2x*5+5^2

(2x+5)^2 = 4x^2 + 20x + 25

Answer:

(2x+5)² or (2x+5)(2x+5)

Step-by-step explanation:

4x²+ 20x + 25

(2x       ) (2x      )     first step 2x*2x=4x²

(2x  +  5   )(2x  +   5  )  the constant sign is plus so it can be ( minus × minus=plus OR plus×plus=plus) look at the middle value it is positive so the two signs are positive or plus sign.

(2x+5)²

Answer:

y = 3x + 7

Step-by-step explanation:

When lines are parallel, the slope is the same but the y-intercept is not

The blue line is the graph for y = 3x + 2

The slope for the line is 3/1

So the slope for the line containing (-2,1) should be 3/1

I plotted (-2,1) and used the Rise/Sun (3/1) to find a point on the y-axis, the teal point.

I graphed the line in yellow

In y=mx + b, b = 7, and mx = 3x

So the equation is y = 3x + 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Using the formula for the angle of a secant and tangent line

Angle V = (TW - UW)/2

Write the formula with the given information:

3x+4 = (14x+7 - 7x+11)/2

Simplify:

3x+ 4 = (7x -4)/2

Multiply both sides by 2:

6x + 8 = 7x-4

Add 4 to both sides:

6x+12 = 7x

Subtract 6x from both sides:

X = 12

Now replace x with 12 in angle v:

3(12) +4 = 35 + 4 = 40

The answer is A) 40

Answer:

x = 50°, y = z = 40°

Step-by-step explanation:

x = 50° ( Alternate angle )

z = 180° - (110 + 30)° = 180° - 140° = 40° ( sum of angles in Δ )

y = z = 40° ( Alternate angles )

Answer:

The graph f(x) was shifted 3 units to the right and shifted 2 units up to get the graph of g(x).

Step-by-step explanation:

From the original graph to the transformed one, we can see that the transformations (x - 3) and + 2 were added to the equation.

The (x - 3) means that the x-value of the vertex will increase by 3, meaning that the graph will shift 3 units to the right.

The +2 will increase the y-value of the vertex by 2, meaning that the graph will move up 2 units.

So, the graph of g(x) relates to f(x) as it is a transformation 3 units to the right and 2 units upwards.

Answer:

Hey there!

20^2+25^2=c^2

400+625=c^2

1025=c^2

Square root 1025 is the correct answer, so option C.

Let me know if this helps :)

Answer: B

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

50+35=85

Answer:

velocity of recoil velocity of cannon  is -9.6 m/sec

Step-by-step explanation:

according to law of conservation of momentum

total momentum of isolated system of body remains constant.

momentum  = mass of body* velocity of body.

__________________________________

in the problem the system is

shell + cannon

momentum of shell = 8*600 = 4800 Kg-m/sec

let the velocity of cannon be x m/sec

momentum of cannon = 500*x = 500x Kg-m/sec

initially the system of body is in rest (before the shell is fired) hence, total momentum of the system i is 0

applying  conservation of momentum

total momentum before shell fired = total momentum after the shell is fired

0 = momentum of shell + momentum of cannon

4800 + 500x = 0

x = -4800/500 = -9.6

Thus, velocity of recoil velocity of cannon  is -9.6 m/sec

here negative sign implies that direction of velocity of cannon is opposite to that of velocity of shell.

Answer:

( x - 11 )^2 + ( y - 5 )^2 = 4^2

Step-by-step explanation:

The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.

h and k are the co-ordinates of the center of circle and r is the radius

We have,

r=4

(h,k)=(11,5)

( x - h )^2 + ( y - k )^2 = r^2

or, ( x - 11 )^2 + ( y - 5 )^2 = 4^2

If you simplify,

x^2-22x+121+y^2-10y+25=16

or, x^2+y^2-22x-10y+146-16=0

or,x^2+y^2-22x-10y+130=0

Answer:

( x - 11 )^2 + ( y - 5 )^2 = 4^2

Step-by-step explanation:

Answer:

It will be -5≤×≤4

Answer:

The square root of 38.

Step-by-step explanation:

The square root of 38 is about 6.16.

The square root of 35 is about 5.91.

The square root of 45 is about 6.70.

The square root of 48 is about 6.92,

So the most reasonable one is the square root of 38, since it is much closer to 6.

Answer:

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function

Step-by-step explanation:

a.{(2,4),(2,6),(2,8),(2,10),(2,12)}

Each value of x goes to more than one value of y- this is not a function

b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}

The value of x at -4 goes to more than one value of y- this is not a function

c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}

The value of x at 0 goes to more than one value of y- this is not a function

d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}

 Each value of x goes to only one value of y- this is a function

EasyAnswer:

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The total number of people is

5+6+4+7+5+3 = 30 people

Answer:

30

Step-by-step explanation:

pizza:5+7=12

Burger:6+5=11

Other:4+3=7

Total:12+11+7=30

Answer:

[tex]\Large \boxed{p^2 +3p-18}[/tex]

Step-by-step explanation:

[tex]( p + 6 )( p - 3 )[/tex]

Expand brackets.

[tex]p(p-3)+6(p-3)[/tex]

[tex]p^2 -3p+6p-18[/tex]

Combine like terms.

[tex]p^2 +3p-18[/tex]

Answer:

p² + 3p - 18

Step-by-step explanation:

(p + 6) (p-3)

Break it apart to make it easier to see:

p(p-3) = p² - 3p

6(p-3) = 6p - 18

Add both parts together(Combine Like terms):

p² - 3p + 6p - 18 = p² + 3p - 18

Answer:

122

Step-by-step explanation:

5!=5 x 4 x 3 x 2 x 1 = 120

2!=2 x 1 = 2

120+2=122

Answer:

11.7647059 % gain

Step-by-step explanation:

To find the gain, take the new amount and subtract the original amount

9500-8500 = 1000

Divide by the original amount

1000/8500=.117647059

Multiply by 100% to get in percent form

11.7647059 % gain

Answer:

it is b or 20,000 or it is the base salary, you can put all 3 to be safe since they are all technichaly the same.

Step-by-step explanation:

so y=mx+B is the equation right here m the slope which is rise over run or y/x=.1 and B is the y inercept and 20,000 it is the starting point on the graph. where it overlaps with the y axis, in this case 20,000 which as it says earlier is his base salary

Answer:

See below.

Step-by-step explanation:

[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]

Convert the cotangent to cosine over sine:

[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]

Use the cofunction identities. The cofunction identities are:

[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]

To convert this, factor out a negative one from the cosine and sine.

[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]

Answer:

An= A1 * r^n-1

A5= 3 * r^5-1

48= 3*r^4

48÷3=r^4

16=r^4

r=

[tex] \sqrt[4]{16} [/tex]

r=2

The answer is D. 2

Espero que te sirva

hsじぇいrんふぉそ具jんじょおlっっっkjか、

Answer:

x = -67/15 = -4-46667

Step-by-step explanation:

4(-3x+1) - 3x = 71

4*-3x + 4*1 - 3x = 71

-12x + 4 - 3x = 71

-15x = 71-4

-15x = 67

x = 67/-15

x = -4.46667

check:

4(-3*-4.46667 + 1) - 3*-4.4666= 71

4(13.4+1) + 13.4 = 71

4*14.4 + 13.4 = 71

57.6 + 13.4 = 71

Answer:

6/n = n/18

n^2 = 108

n = sqrt 108

a^2 + b^2 = c^2

36 + 108 = m^2

144 = m^2

m=12

Let me know if this helps!

Problem 22

You have the correct answer since there are 9 non-white socks out of 15 total.

========================================================

Problem 23

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Explanation:

We have 10 blue marbles and 10+4+5+6 = 14+11 = 25 marbles total

This means there are 25-10 = 15 non-blue marbles.

The probability of selecting a non-blue marble is 15/25. I won't reduce this as we'll use this fraction to set up the next probability.

Because the marble is not replaced, this means we go from 15 non-blue marbles to 15-1 = 14 non-blue marbles. We also go from 25 total marbles to 25-1 = 24 total.

In short, the fraction 15/25 turns into 14/24 after subtracting 1 from each part.

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

Let's reduce each fraction mentioned

15/25 = (3*5)/(5*5) = 3/5

14/24 = (2*7)/(2*12) = 7/12

Then we'll multiply the two reduced fractions

(3/5)*(7/12) = (3*7)/(5*12) = 21/60

Lastly, we'll reduce that result

21/60 = (3*7)/(3*20) = 7/20

The probability of selecting two marbles that aren't blue is 7/20. This is done without replacement.

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

As a shortcut, we could say:

(15/25)*(14/24) = 7/20

Answer:

C.) 4(750c-700t) ; D.) 2800t - 3000c

Step-by-step explanation:

Time taken :

Tatenda = t sec/m^2

Ciara = c sec/m^2

Tatenda = 700m^2 per week

Ciara = 750m^2 per week

Which expressions can we use to describe how many more seconds Tatenda spends than Ciara spends mowing lawns during 4

Total Time taken over four weeks :

Tatenda = 4(t * 700) = 4(700c)

Ciara = 4(c * 750) = 4(750c )

Number of seconds Tatenda spends more than Ciara : meaning Tatenda spends more seconds than

Tatenda - Ciara

4(700t) - 4(750c) = 4(700t - 750c)

4(700t - 750c)

Or

4(700t - 750c) = 2800t - 3000c

2800t - 3000c

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{6}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

4 is tenths (a) and 5 is hundredths (b)

Step-by-step explanation:

Now, 0.45

0 indicates the ones place (it comes before the decimal)

0.45 can also be written as:

0.4+0.05

= 4/10+5/100

what can we conclude from this?

we can say that 4 is in the tenths whilst 5 is in the hundredths.

therefore, a is 4 and b is 5.

Hope this helps you! :)

━━━━━━━☆☆━━━━━━━

▹ Answer

q = 16

▹ Step-by-Step Explanation

3(q - 7) = 27

3q - 21 = 27

Add 21 to both sides:

21 + 21 = na

27 + 21 = 48

3q = 48

Divide both sides by 3:

3/3 = q

48/3 = 16

q = 16

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

q=16

Step-by-step explanation:

3q-21=27

27+21=48

48/3=16

Answer:

the positive integers or whole numbers include 1, 2, 3, and etc. sometimes zero.

Whole numbers are 0, 1, 2, 3, 4, 5, 6. Whole numbers include positive integers along with 0.

17, 99, 267, 8107 and 999999999 are examples of whole numbers.

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333

A real number that can NOT be made by dividing two integers (an integer has no fractional part). "Irrational" means "no ratio", so it isn't a rational number.

Example: π is an irrational number.

The real numbers include all the rational numbers, such as the integer −5 and the fraction 4/3, and all the irrational numbers, such as √2.

Included within the irrationals are the transcendental numbers, such as π

Answer: D) No. The graph fails the vertical line test.

Explanation:

We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).

So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.

In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.

Answer:

a) 45° cause tan = sin/cos and sin 45 and cos 45 both give square root 2/2

b) 120°

c) sin = -1/2 = -30° or 330° both are same

Use the trig circle which i have included in the answer to better understand trig angles

hope that answers your question

I want to let you know that each angle has sets of coordinates the left number is cos and right is sin. Ex) sin of 30 is 1/2 and cos of 30 is square root 3/2 In case you dont fully understand dont hesitate to comment.

good luck!!