Deepak is a landscaper who charges $30 for each job he does plus an additional $15 for each hour he works. He only accepts jobs if he will earn at least $90 the job. He writes this inequality to determine x, the number of hours he must work during each job in order to accomplish this.

30 + 15 x greater-than-or-equal-to 90

Which best describes the restrictions on the jobs Deepak will accept?
He only accepts jobs that last 4 or more hours.
He only accepts jobs that last 5 or more hours.
He only accepts jobs that last 8 or more hours.
He only accepts jobs that last 9 or more hours.

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

First step

⇒ consider the fact cotθ = 1 / (tanθ)

 \(\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }\)

Second step

⇒ form a common denominator for the fraction in the 'denominator'

\(\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }\)

Let's flip over the fraction on the denominator

\(\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx\)

And there you go, you have proved the statement by following these steps!

 *note, I used 'x' because the equation creator didn't have 'θ' symbol

Hope that helps!

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Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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Answer:

A=   x=3

B=   x=9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

11.33 yards

The answer to the problem is given by the unit conversion A = 34 feet

Given data ,

The measurements are converted into a common unit before multiplying the numbers to find the solution.

First, let's convert the measurements to a common unit, such as feet.

From the unit conversion:

1 yard = 3 feet

So , 5 yards can be converted to feet by multiplying it by 3

5 yards = 5 x 3 = 15 feet

Now that both measurements are in feet, we can perform the multiplication:

(15 feet + 2 feet) x 2

A = 17 feet x 2

A = 34 feet

Hence , the answer to the problem 5 yards 2 feet multiplied by 2 is 34 feet

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Answer: 1 \(\frac{1}{2}\)

Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2

hope it helps!!

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

Answers:

A, B, D, E

Nearly everything except choice C is true.

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

Explanation:

Answer:

33.33%

Step-by-step explanation:

We Take

(35 ÷ 105) x 100 ≈ 33.33%

So, 35 is 33.33% of 105

Answer:

Step-by-step explanation:

yes, it is an integer because this fraction can be solved more and the result is (-4) which is a whole number.

Answer: No.

Step-by-step explanation:

No, it is not an integer because integers are whole numbers that are either positive or negative.

Answer:

ihkjl; yfcuhbkn  mguv7g8inngvui vuiihj n.

Step-by-step explanation:

Answer: \(\sec \theta\)

Step-by-step explanation:

The period of \(\sec \theta\) is \(2\pi\), so \(\sec(4\pi -\theta)=\sec(-\theta)\)

Also, as \(\sec \theta\) is an even function, \(\sec(-\theta)=\boxed{\sec \theta}\)

The correct match for each linear system with one of the phase plane direction fields will be:

1:B

2:C

3:D

4:A

What is plane?

In geometry, a plane is a surface made up of all the straight lines connecting any two locations on it. It is, in other words, a level or flat surface. A plane is uniquely defined in a Euclidean space of any number of dimensions by one of the following: three non-collinear points are used. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature. The flat surfaces of a cube or cuboid, as well as the flat surface of paper, are all true instances of geometric planes, despite the fact that it is difficult to envision a plane in real life.

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Answer:

Step-by-step explanation:

a) (72 + 78 + 80 + 85 + 85 + 92 + 96) / 7 = 588 / 7 = 84  mean

b) (72 + 78 + 80 + 85 + 85 + 92 + 96)                         85  median

     1       2      3      4       3       2     1

c) (72 + 78 + 80 + 85 + 85 + 92 + 96)                          85 mode

    1        1       1           2           1       1

d) the sum of the difference of median and scores is greater below the median than it is above the median

e)  (588 + 100) / (7 + 1)    =    688/8     =                      86

Answer:

The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level

Step-by-step explanation:

Categories         Sample Size           Mean           Standard D

Traditional Lab        17                        71.5                    4.8

Software                 13                        78. 5                    6

We are using Student's t- test considering that the population variance is equal.

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≤ -t (0.05, 28) = -1.701

Degrees of freedom is calculated df = υ= n1+n2- 2= 17+13-2= 28

Here the difference between the sample means is x`1- x`2= 71.5-78.5= -7

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/17+13-2 [ 71.5²+78.5²]

Sp = 20.0664

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= -7/ 20.0664 √1/17+ 1/13

t= -7/7.393

t= -0.9468

The calculated value of t= -0.9468 does not lie in the critical region t= -1.701. Therefore we accept our null hypothesis that mean science test score is lower for students taught in traditional lab sessions than it is for students taught using interactive simulation software at the 0.05 significance level

Answer:

X    Y

0    0

2   -3

Step-by-step explanation:

The slope should look like this photo.

Answer:

35 people

Step-by-step explanation:

Answer:

60/125 which can be reduced to 12/25

Step-by-step explanation:

Gina wins

2/5 * 2/5 = 4/25

3/5 * 2*5 * 2/5 = 12 /125

2/5 * 3/5 * 2/5 = 12/125

Fred Wins

3/5 * 3/5 = 9/25

2/5 * 3/5 * 3/5 = 18/125

3/5 * 2/5 * 3/5 = 18/125

P(3 sets) = (18 + 18 + 12 + 12)/125 = 60/125

P(2 sets) = (20 + 45)/125 = 65/125

I found the probability of 2 sets so I could add the results together to see if the probability totals 1. It does. This question is done correctly.

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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Answer:

use desmos___.com it should have a grapghing calculator

Step-by-step explanation: instead of using y put f(x) when u do

Answer:

it is either the dice or the cups

Step-by-step explanation:

Answer:

cups

Step-by-step explanation:

i might be wrong

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

0.875

Step-by-step explanation:

Answer:

19.625

Step-by-step explanation:

I hope this helps!

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Table:

1st row: x = -2 and y = 1

2nd row: x = -1 and y = 2

3rd row: x = 0 and y = 3

(It will continue going on with x and y each going up by one infinitely.)

Graph:

The graph is linked, so you can plot the points.

If needed, here are the plotted points:

-2, 1

-1, 2

0, 3

(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)

Hope this helps! :D

Answer:

5/(8+4+5) = 5/17

Step-by-step explanation:

total has (8 red +4 white+5 blue）= 17

we looking for blue , so is 5.

5/17

Answer:

226.19 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

π = pie (3.142)

r = radius

h = height

Volume = π × 3² × 8

             = 226.19 cm³