Trying to prepare a budget Grant has done research and found that he spends an average of $178 on his phone/internet/cable service, $203 on his electric bill, and
$320 on his health insurance premium. If he earns $3200 per month, estimate the amount of money he will have after paying these bills each month.

Answer:

44.5 ft

Step-by-step explanation:

Reference angle = 39°

Opposite = x

Adjacent = 55

Apply trigonometric function TOA:

Tan 39 = Opp/Adj

Tan 39 = x/55

55 × Tan 39 = x

44.5381218 = x

x ≈ 44.5 ft

Answer:

-184

Step-by-step explanation:

8,5,2,-1...

a=first term=8

Common difference=T2-T1=T3-T2=T4-T3

5-8=2-5=-1-2=-3

T65=a+64d

T65=8+64(-3)

T65=8-192

T65=-184

Answer:

The area of one of the faces of the cube is equal to 1/4 cubic units.

Step-by-step explanation:

Given that a cube has a volume of 1/8 cubic units, to determine what is the area of one of its faces, the following calculations must be performed, knowing that the volume of a cube is equal to the value of one of its sides cubed , and the area of one of its faces is equal to the multiplication between its base and its height:

1/8 = 0.125

3√0.125 = 0.5

0.5 x 0.5 = 0.25

0.25 = 1/4

Therefore, the area of one of the faces of the cube is equal to 1/4 cubic units.

Answer:

In the most popular abroad country: 29,255 students

In the second-most one: 20,872 students

Step-by-step explanation:

Let's write the situation in an equation to help us solve this. X represents the amount of students in the second most popular country. So we know that in total, there's 50,127 students so let's make an equation that equals this. ???????=50,127. As we know, the most popular country has 8383 more students than the second one so we can write it as x+8383 and for the second most popular country, we can write it as x. We know that both of the countries students combined equal 50,127 students so we have our equation. (x)+(x+8383)=50,127 students. After solving the equation, you get x=20, 872. As we know x=the amount of students in the second most popular country which means there's 20,872 students in the second one. Additionally, for the first most popular one, the equation for the amount of students in it is x+8383 so..... 20,872+8383=Total number of students in the most popular one which is 29,255 students.

Answer:

B

Step-by-step explanation:

Probability of getting 9 or 11 = 2 /6 =1/3

Probability of getting tails in coin = 1/ 2

Probability of getting  9 or 11 AND tails in coin toss = 1/2 * 1/3

= 1/6

Answer:

56cm²

Explanation:

the amount of material he needs would be the total surface area of the box. surface area can be calculated by finding the sum of surface area of all the sides of the box. since the opposite sides are equal, we can find the surface area of 3 different sides and then multiply it by 2.

(4 + 4) + (4 + 6) + (6 + 4) × 2

= 8 + 10 + 10 × 2

= 28 × 2

= 56cm²

i hope this helps! :D

Answer:

everything is black :/

Step-by-step explanations:

Answer:

-480°, 240° (among others)

Step-by-step explanation:

± 360

Answer:

96

Step-by-step explanation:

16 * 6 = 96

Answer:

B

Step-by-step explanation:

Answer:

48 cups of water

Step-by-step explanation:

Using the provided ratio of 6:5.5...

if 6:5.5

then

48:44

Answer: 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

5

Answer:

Option A

Step-by-step explanation:

The complete question is attached here

The rate of increase of bacterial population  be K

As we know

[tex]Y = Y_0 * e^{kT}[/tex]

where Y is the final population. In this case it is 1000

K is the rate of increase of population i.e 3 times per hour

T is the time in hours

Y0 is the initial population = 5

Substituting the given values, we get -

[tex]1000 = 5 *e^{3*T}\\200 = e^{3*T}[/tex]

Taking log on both sides, we get -

ln [tex]200[/tex] = ln [tex]e^{3T}[/tex]

[tex]2.718 * 2.301 = 3T[/tex]

T = 2.084 hours

hence, option A is correct

The number of hours required after the initial time must be divide the sample by John is 2.084 hours.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

The exponential function with dependent variable y and independent variable x can be written as,

[tex]y=ba^x+c[/tex]

Here, a, b, and c are the real number

John needs to divide the sample in half once the number of bacteria has reached 1000.

The table of this bacterial growth is,

Time(hours)         Number of bacteria

       0                            5

       1                             15

       2                            45

The rate of increasing the bacteria each hour is,

[tex]x=\dfrac{15}{5}=3\\x=\dfrac{45}{15}=3[/tex]

Thus, the exponential rate is 3.

Now the number of reached is 1000, and the initial population was 5. Therefore, for the time t, the exponential function can be given as,

[tex]1000=5e^{3t}\\\dfrac{1000}{5}=e^{3y}\\200=e^{3y}[/tex]

Taking log both the sides as,

[tex]\ln (200)=\ln e^{3t}\\2.301=0.434({3t})\\t=2.084[/tex]

Hence, the number of hours required after the initial time must be divide the sample by John is 2.084 hours.

Learn more about the exponential function here;

https://brainly.com/question/15602982

Answer:

All of the angles

Step-by-step explanation:

All of the angles

Answer: Opposite angles

Step-by-step explanation: As you can see, angles B and D are opposite from each other and they have matching angles. Angles A and C are opposite from each other and they have matching angles. So the opposite angles are congruent. Congruent = identical

Answer:91

Step-by-step explanation:

Answer:68x + 2

Step-by-step explanation:

9514 1404 393

Answer:

  parallelogram

Step-by-step explanation:

A shape with two pairs of parallel sides is a parallelogram. If an angle is something other than 90°, then the figure is not a rectangle.

Step-by-step explanation:

Standard form is

[tex] {x}^{2} + {y}^{2} + ax + by + c = 0 \\ [/tex]

[tex] {x}^{2} + {y}^{2} - 18y + 5 = 0[/tex]

Answer:

[tex]19.55\pm2.145[/tex]

Step-by-step explanation:

We use the equation [tex]\bar x\pm z^*\sigma/\sqrt n[/tex], where [tex]\bar x=19.55[/tex], [tex]\sigma=6.33[/tex], [tex]n=41[/tex], and [tex]z^*=2.17[/tex]. We obtain [tex]z^*[/tex] from the z-score of a 0.97 confidence level.

The 97% confidence interval estimate for the mean bill for all cars from the drive-thru is approximately $17.23 to $21.87.

To estimate the mean bill for all cars from the drive-thru with 97% confidence, we can use a confidence interval.

Sample size (n) = 41

Sample mean (x(bar)) = $19.55

Population standard deviation (σ) = $6.33

To calculate the confidence interval, we'll use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

First, we need to calculate the standard error, which is the standard deviation of the sample mean.

Standard Error (SE) = Population Standard Deviation / √(Sample Size)

SE = $6.33 / √(41)

Next, we determine the critical value based on the desired confidence level. Since we want a 97% confidence interval, we need to find the critical value corresponding to a 97% confidence level.

The critical value can be obtained from a standard normal distribution table or by using a calculator. For a 97% confidence level, the critical value is approximately 2.17.

Now, we can calculate the confidence interval:

Confidence Interval = $19.55 ± (2.17 * SE)

Substituting the values:

Confidence Interval = $19.55 ± (2.17 * ($6.33 / √41))

Calculating this, we find:

Confidence Interval ≈ $19.55 ± $2.32

Therefore, the 97% confidence interval estimate for the mean bill for all cars from the drive-thru is approximately $17.23 to $21.87.

To know more about confidence interval click here :

https://brainly.com/question/32546207

#SPJ2

(f+g-k)(x) means to add the equations f(x) and g(x) then subtract k(x)

2x^2 + 3x + 4x - 9 = 2x^2 +7x -9

2x^2 + 7x - 9 - x^2 -7x = x^2 -9

The answer is : x^2 - 9

The answer I got is x^3 + 14x - 9x

Answer:

H0 is rejected.There difference in the means for the three assembly methods.

Step-by-step explanation:

Calculating gives the following results.

ANOVA Table

Source        DF                  Sum                Mean            F Statistic      

                                       of Square         Square

Treatments       2               4560               2280             9.865

(between groups)

Error            27                  6240                231.111                                  

Total         29                   10,800  

Error SS= SST -SSTR = -10,800-4560=6240    

d.f for SSTr = r-1= 3-1

D.f for SST= n-r= 30-3= 27

Total D.f= d.f for SSTr+D.f for SST= 27+29

MSTR= SSTR/d.f= 4560/2= 2280

MSError= Error SS/ d.f= 6240/27=231.111

F test= MSTR/ MsError= 2280/231.11= 9.865

The P- value < 0.01 which  is less than 0.05 therefore H0 is rejected.

There is sufficient evidence to reject H0.

Answer:

prett sure it's b

Step-by-step explanation:

Answer:

It’s 8 inches

Step-by-step explanation:

Answer:

8 inches

Step-by-step explanation:

I got it right on my FLVS test :D

Answer:

2, -2

Step-by-step explanation:

You start at -1, 2

-1 ,2

3, -4

add the Transformations to the starting coordinates and end up getting

2,-2

Answer:

To round a number to the nearest hundred, you make it into the hundred that is closest. Take the number 246, for example, which is between 200 and 300. It is closer to 200. So 246 rounded to the nearest hundred is 200.

Answer:

525 people would be expected

Step-by-step explanation:

45 out of 150 or 45/150 is simplified to 3/10

1750 people * 3/10 = 525

Answer:

525 is the answer

Step-by-step explanation: