A paddle boat company charges $15 rental fee plus $12.75 per hour for rentals. If Jimmy has $45, which inequality can he use to determine if he has enough money to rent a paddle boat for 4 hours?

a. 15 + 12.75x ≤ 45
b. 15 + 12.75x ≥ 45
c. 15x + 12.75 ≤ 45
d. 15x + 12.75 ≥ 45

The measure of arc PQ is 120°

A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.

There is a theorem in circle geometry that states that angle formed by an arc is twice the angle formed at the circumference.

arc RQ = 2 × 50

= 100°

Also, the total angle on the circumference of a circle is 360°. Circumference is the outer part of a circle.

Therefore;

arc RP + arc RQ + arc PQ = 360°

140 +100 + x = 360°

x = 360 -240

x = 120°

Therefore the value of arc PQ is 120°

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Answer:

perimeter = 12

Step-by-step explanation:

In a right-angled triangle, a² + b² = c²

where c is the hypotenuse, and a and b are opposite and adjacent, either way.

have a look at attached documents for answer and explanation

g(x)=x^2-1

f(g(X))=5 sqrt(x^2-1+1)-2

5 sqrt(x^2)-2

:sqrt cancel the square

5x-2

Answer:

The answer is D. Cone

Step-by-step explanation:

According to the information we can infer that the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

To create the scale drawing, we need to convert the real-life dimensions of the football field into centimeters and then apply the scale of 1:2000.

Real-life dimensions:

Converting to centimeters:

Applying the scale of 1:2000:

According to the above, the scale drawing of the football field will have dimensions of 2.5cm by 4.5cm.

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Answer:

6

Step-by-step explanation:

5y - 12 = 18

5y = 30

y = 6

Answer:

I would say five, not positive though. if it isn't five then i'd say 12!

Step-by-step explanation:

Answer:

m=3

y(-2/3, 2)

Step-by-step explanation:

By using the rules:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

We have proven the identity. Below you can follow the demonstration.

Here you need to remember two things:

\(cos(-x) = cos(x)\\\\sec(x) = \frac{1}{cos(x)}\)

Here we have the expression:

\(\frac{1 - cos(-x)}{sec(-x) - 1}\)

By using the first rule, we can rewrite:

\(\frac{1 - cos(-x)}{sec(-x) - 1} = \frac{1 - cos(x)}{sec(x) - 1}\)

By using the second rule, we can rewrite:

\(\frac{1 - cos(x)}{sec(x) - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1}\)

Now if we multiply and divide by cos(x), we get:

\(\frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} = \frac{1 - cos(x)}{\frac{1}{cos(x)} - 1} *\frac{cos(x)}{cos(x) } = \frac{(1- cos(x))*cos(x)}{1 - cos(x)} = cos(x)\)

In this way, the identity was proven.

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Answer:

See Explanation

Step-by-step explanation:

Given:

See Attachment

Required

Complete the table

From the question, we understand that:

\(1m^2 = 10.75\ tiles\)

So:

When square meters = 1

\(X = 10.75 * 1\)

\(X = 10.75\)

When square meters = 10

\(X = 10.75 * 10\)

\(X = 107.5\)

Assume any value of square meter for the third row;

Say: square meters = 20

\(X = 10.75 * 20\)

\(X = 215\)

When square meters = a

\(X = 10.75 * a\)

Answer:

107.5

Step-by-step explanation:

Answer: A and D are correct because they both equal 42.

Step-by-step explanation: Both A and D when distributed equal 18 + 24.

B is incorrect because that equals 18 + 63

C is incorrect because that equals 72 + 12

The last one is incorrect because when simplified it is 76 of 30 and 76 of 30 equals 22.8, not 42.

Answer:

A only

Step-by-step explanation:

Not sure if your missing letter options. If D is asking all 3 to be right, then no, D is not correct. If there are 2 letters missing then the last equation also works.

I reread the question and option D seems like it is

6(3+4) * 2(16 + 22)

       2(9 + 12)

Which equals

(42 * 76) / 42 = 72

So not D

Please mark Brainliest for complete answer with work. :)

Answer:

x=3

Step-by-step explanation:

\(-15x+32=13\\-15x=13-32\\-15x=-45\\x=-45/-15\\x=3\)

Step-by-step explanation:

To Solve This Equation You will need to

Original Equation;

-15x+32=-13

•(Firstly you will Group Like Terms)

-15x=-13-32

•(After Grouping you will go ahead and simplify)

-15x=-13-32

(You will have to add the two negative numbers and note that negative plus negative is still negative even though there is no addition sign there but you'll add them because when there is two negatives without a multiplication or division or any other sign you have to add)

-15x=-13-32

-15x=-45

(Then you proceed to divide both sides by -15)

x=3

This is because -45 divided by -15 is positive 3

Positive 3 because the negative signs cancel each other out.

The formula for the circumference of the circle is 2πr or πd with r being the radius and d being the diameter. These 2 gives the same result because d=2r

Now because we know that the circumference is 15pi, we just need to reverse to find the diameter.

π*diameter=15*π

We can divide π from both sides.

diameter=15

Hope this helped!

Answer:

30

Step-by-step explanation:

12=40%

so

if 40%=12

100%=?

100x12=1200

1200÷40=30

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

The answer is one hundred percent D

Step-by-step explanation:

Hi

Answer:

D

Step-by-step explanation:

Answer:

1) \(\sqrt{53}(\cos286^\circ+i\sin286^\circ)\)

2) \(\displaystyle 5,-\frac{5}{2}+\frac{5\sqrt{3}}{2}i,-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

Step-by-step explanation:

Problem 1

\(z=2-7i\\\\r=\sqrt{a^2+b^2}=\sqrt{2^2+(-7)^2}=\sqrt{4+49}=\sqrt{53}\\\\\theta=\tan^{-1}(\frac{y}{x})=\tan^{-1}(\frac{-7}{2})\approx-74^\circ=360^\circ-74^\circ=286^\circ\\\\z=r\,(\cos\theta+i\sin\theta)=\sqrt{53}(\cos286^\circ+i\sin 286^\circ)\)

Problem 2

\(\displaystyle z^\frac{1}{n}=r^\frac{1}{n}\biggr[\text{cis}\biggr(\frac{\theta+2k\pi}{n}\biggr)\biggr]\,\,\,\,\,\,\,k=0,1,2,3,\,...\,,n-1\\\\z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(2)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{4\pi}{3}\biggr)=5\biggr(-\frac{1}{2}-\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}-\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(1)\pi}{3}\biggr)\biggr]=5\,\text{cis}\biggr(\frac{2\pi}{3}\biggr)=5\biggr(-\frac{1}{2}+\frac{\sqrt{3}}{2}i\biggr)=-\frac{5}{2}+\frac{5\sqrt{3}}{2}i\)

\(\displaystyle z^\frac{1}{3}=125^\frac{1}{3}\biggr[\text{cis}\biggr(\frac{0+2(0)\pi}{3}\biggr)\biggr]=5\,\text{cis}(0)=5(1+0i)=5\)

Note that \(\text{cis}\,\theta=\cos\theta+i\sin\theta\) and \(125=125(\cos0^\circ+i\sin0^\circ)\)

Answer:

0.29

Step-by-step explanation:

29% = \(\frac{29}{100}\) = 0.29

29% as a decimal is 0.29 :)

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

the length has increased by 7.5/3 = 2.5.

so the scale factor is 2.5

Answer:

9

Step-by-step explanation:

\(2[10-3(4-2)]+1\\=2(10-3\times2)+1\\=2(10-6)+1\\=2\times4+1\\=9\)

The solution for the given inequality is -6 < x < 9.

What is linear equality?

In mathematics a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The given inequality is:

         -7 < x - 1 < 8

       −7 + 1 < x − 1 + 1 < 8 + 1 -------- (Add 1 to all parts)

             -6 < x < 9

Hence, the solution for the given inequality is -6 < x < 9.

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Answer:

D is correct

Step-by-step explanation:

p=q  then q is the same as p and if r=p that is true

The ratio of chocolate bars More Preferred: (9 chocolate bars, 3 glasses of milk); Equally Preferred: (6 chocolate bars, 3 glasses of milk); Less Preferred: (3 chocolate bars, 2 glasses of milk) and (9 chocolate bars, 2 glasses of milk).

The ratio of chocolate bars to glasses of milk that Isabel consumes is 3-to-1. This means that whenever she has 3 chocolate bars, she also has 1 glass of milk. Currently, Isabel has 6 chocolate bars and 2 glasses of milk. The bundles listed above are compared to Isabel's current consumption. Out of the five bundles, the one with 9 chocolate bars and 3 glasses of milk is more preferred than what Isabel currently has because it has more of the ratio than Isabel's current consumption. The bundle with 6 chocolate bars and 3 glasses of milk is equally preferred because it holds the same ratio as Isabel's current consumption. The bundles with 3 chocolate bars and 2 glasses of milk and 9 chocolate bars and 2 glasses of milk are less preferred because they both have less of the ratio than Isabel's current consumption.

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Answer:

I came up with 412cm^2

Step-by-step explanation:

10*12+(12*2)2+(10*2)2+6*8+(8*3)2+(6*3)2+(12*10-6*8)

Answer:

the answer is 8

Step-by-step explanation:

Total amount Ted wishes to spend this month is $5000.

Mahogany costs $450 per block, and he has already bought 7 blocks of spruce at $200 each.

So, money spent on spruce =  dollars

Money left after buying spruce =  dollars

Now as $450 will be spent on buying 1 block of mahogany.

So, $3600 will be spent

and then your answer will be 8

9514 1404 393

Answer:

  -2

Step-by-step explanation:

The slope formula can be used. Fill in the given information and solve for b.

  m = (y2 -y1)/(x2 -x1)

  -3/4 = (b -4)/(6 -(-2))

  -6 = b -4 . . . . . . multiply by 8

  -2 = b . . . . . . . . add 4

The value of b is -2.

Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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Answer: a. (-10, 0) u(12, infinity)

b. (negative infinity, -10) u(0, 12)

All of this is assuming that the ends of both functions are continuing in the direction it's going shown in the graph.

Step-by-step explanation:

f(x) and g(x) basically means the y value. So when f(x) is greater than g(x), it's saying the y value for the f(x) line is greater than the y value for g(x). This happens when x = -10 till x = 0 and x = 12 till forever going right.

Side note: (-10, 0) is a way to write the domain, with the first number meaning the start and the second number meaning the end.

For this, let's go through each problem carefully and step-by-step.

According to the question, the rate of change of the temperature of any object that is defined by T, is directly proportional to the difference of T and the temperature of the environment around it, which we'll denote as X.

\(\frac{dT}{dt}\)\(= k (T-X)\)

K is a constant of proportionality here. And the temperature of the surrounding environment is said to be (-18°C). Thus,

\(\frac{dT}{dt} = k(T+18)\).

For part A, in order to find the differential equation for T, we need to solve for k. So we separate the variables and then integrate to solve the equation.

\(\int\limits{\frac{dT}{T+18} } = \int\limits {k} \, dt\)

\(ln(T+18) = kt+c\)

Now thw inital temperature of a pot of chili is 23°C, so at \(t = 0, T_0 = 23*C\).

Substituting 23 for T and 0 for t, we have the following:

\(ln(23+18) = k(0)+c\)

\(ln(41) = c\)

We know the temperature of chili after 2 hours is 7°C, so we know that when \(t = 2, T_1 = 7\)

Substituting t for 2, and T for 7, we get:

\(ln(7+18) = 2k+ln(41)\)

\(ln(25) = 2k + ln(41)\)

Solving for 2k

\(2k = ln(25) -ln(41)\)

\(2k = ln(\frac{25}{41})\)

\(k = \frac{1}{2}ln(\frac{25}{41})\).

Substituting the value of \(\frac{dT}{dt} = k (T+18)\), the differential equation obtained is \(\frac{dT}{dt} = \frac{1}{2}ln(\frac{25}{41})(T+18)\).

For part B, to find the temperature of the chili after four hours, we first need to solve the above differential equation.

The solution of the differential equation is given by the equation \(ln(T+18) = kt+c\). Substituting the values of k and c, we have:

\(ln(T+18) = \frac{1}{2}ln(\frac{25}{41})t+ln(41)\).

Using the above relation, at any time (t), the temperature (T) can be found out in the following.

At \(t = 4, T_2 = \phi\)

\(ln(T_2+18)=\frac{1}{2}ln(\frac{25}{41})*4+ln(41)\)

\(ln(T_2+18)=2ln(\frac{25}{41})+ln(41)\)

\(ln(T_2+18)=-0.989 + 3.714\)

\(ln(T_2+18)\) ≅ \(2.725\)

Solving the natural logarithm,

\(T_2+18 = e^{2.725} = 15.256\)

\(T_2 =15.256 - 18\)

\(T_2 = -2.744\).

So the temperature of the chili after four hours would be -2.744°C approximately.

To find part C in what time the chili would be 10°C, we need to substitute again.

\(t = \phi\)\(, T = -10\)

\(ln(-10 + 18) = \frac{1}{2}ln(\frac{25}{41})t + ln(41)\)

\(ln(8) = \frac{1}{2}ln(\frac{25}{41})t + ln(41)\)

Solving for \(\frac{1}{2}ln(\frac{25}{41})t\),

\(\frac{1}{2}ln(\frac{25}{41})t = ln(8) - ln(41)\)

\(\frac{1}{2}ln(\frac{25}{41})t = ln(\frac{8}{41})\)

\(\frac{1}{2}ln(\frac{25}{41})t = -1.634\)

\(ln(\frac{25}{41})t\)\(= -1.634 * 2\)

\((-0.494)t=-3.268\)

\(t = \frac{-3.268}{-0.494}\)

\(t=6.615\) hours, approximately.

Thus, the chili would reach -10°C at around 6.615 hours.

Hope this helped. This took me a long time.