All categories

2 years ago

Jacob is a construction worker who earns a yearly Income given by the expression 2000x + 6000, where X is the number of

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

Answer:

Answer:

The manager's prediction is false

Step-by-step explanation:

Given

Jacob: 2000x + 4000

Carlos: 3500x - 40000

Required

Determine if both expression will be the same if x = 35

To do this;

Equate both expressions and then solve for x

i.e.

2000x+4000=3500x-40000

Collect Like Terms

2000x+4000=3500x-40000

-1500x=-44000

Divide both sides by -1500

$\frac{-1500}{-1500} = \frac{-44000}{-1500} \\= \frac{-44000}{-1500}\\x= -29.3$

Hence, the manager's prediction is not true because x $\neq$ 35

You might be interested in

A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w

hoa [83]

Answer:

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

Step-by-step explanation:

Volume of cylinder = V

Radius of cylinder = r = 0.5 m

Height of the cylinder = 5 m

Volume of cylinder = $\pi r^2h$

$V=3.14\times (0.5 m)^2\times 5 =3.925 m^3$

Mass of gasoline = m

Density of gasoline = d = $673 kg/m^3$

$m=d\times V=673 kg/m^3\times 3.925 m^3=2,641.525 kg$

Work done to pump the gasoline out of the tank W

Acceleration due to gravity = g $.8 m/s^2$

The center of gravity of fuel in fully filled tank will be centre so, the value of h = 2 m + 0.5 m = 2.5 m

$W =m\times g\times h$

$W=2,641.525 kg\times 9.8 m/s^2\times 2.5 m=64,717.36 J$

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

6 0

3 years ago

The graph shows the temperature of ice cream in an ice chest during an overnight trip. What is the domain of this function?

mariarad [96]

Let

x-------> the number of hours

y------> the temperature in degrees Fahrenheit

we know that

For $x=0\ hours$

$y=-10\°\ F$

For $x=30\ hours$

$y=30\°\ F$

The domain of the function is the interval----------> $[0,30]$

$0\ hours \leq x\leq 30\ hours$

The range of the function is the interval----------> $[-10,30]$

$-10\°\ F \leq y\leq 30\°\ F$

therefore

<u>the answer is</u>

The domain is all real numbers 0 through 30

4 0

3 years ago

Read 2 more answers

The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.

Nina [5.8K]

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

6 0

3 years ago

It costs you $10 to draw a sample size n=1 and measure the attribute of interest. you have a budget of $1,200

kicyunya [14]

<span>a. </span>Do you have sufficient funds to estimate the population mean for the attribute of interest with a 95% confidence interval 4 units width? Assume that sd= 12

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.96)^2*(12)^2/ (2)^2

n= 138.297 rounded up to 139

<span>There is not enough funds for this one since you’ll need 139 pieces and it costs 10 a piece, you’ll need 1390.</span>

b. 90% confidence interval

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.645)^2*(12)^2/ (2)^2

n=98

There is enough funds since 98 pieces for 10 a piece is equal to 980.

6 0

3 years ago

Parvinis older than Jan, who is

MatroZZZ [7]

Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of n, that is:

$A_n = n!$

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

$A_4 = 4! = 24$

More can be learned about the arrangements formula at brainly.com/question/24648661

#SPJ1

8 0

2 years ago