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3 years ago

Please help am stuck on this

Mathematics

2 answers:

Marina86 [1]3 years ago

8 0

Answer:

-3,-2,-1,0,1,2,3,4,5

kobusy [5.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

Builder notation :

X = {x ∈ Z : -4 < x ≤ 5}

Roster Notation :

X = { -3, -2, -1, 0, 1 , 2 , 3 , 4 , 5}

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The annount of time (in minutes) that it takes to put out a fire varies inversely

sveticcg [70]

Given that the amount of time varies inversely with G.

It can be written as,

$T G=K$

where K is the constant.

We need to determine the time it takes to put out the fire when 200 gallons of water are used.

The value of constant:

When $G=8, T=12$ , we get;

$(12)(8)=K$

$96=K$

Thus, the value of constant is 96.

Time taken:

Substituting $G=2$ and $K=96$ in the formula $T G=K$ , we get;

$T(2)=96$

$T=48$

Thus, the time taken to put out the fire using 200 gallons of water is 48 minutes.

Hence, Option B is the correct answer.

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3 years ago

To join the meeting vyv-vmvx-qnp

zmey [24]

Answer: yk i just a flight away if u wanna u can take a private plane

Step-by-step explanation:

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3 years ago

Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider

kiruha [24]

Answer:

Part A) $V(t)=-5,750t+101,250$

Part B) $\$55,250$

Step-by-step explanation:

Part A) Express the value of the bulldozer, V, as a function of how many years old it is, t.

Let

V ----> the value of the bulldozer (dependent variable or output value)

t ----> the number of years (independent variable or input value)

we know that

The linear function in slope intercept form is equal to

$V(t)=mt+b$

we have the ordered pairs

(0,101,250) and (15,15,000)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{15,000-101,250}{15-0}$

$m=-\$5,750\ per\ year$ ----> is negative because is a decreasing function

The value of b is the initial value

$b=\$101,250$

substitute

$V(t)=-5,750t+101,250$

Part B) The value of the bulldozer after 8 years is

For t=8 years

substitute the value of t in the linear equation

$V(t)=-5,750(8)+101,250=\$55,250$

4 0

2 years ago

5/10+13/100 what is the value of the expression

cluponka [151]

Answer:

63/100

Step-by-step explanation:

6 0

2 years ago

The average summer temperature in Anchorage is 69°F. If the daily temperature is normally distributed with a standard deviation

mafiozo [28]

Answer:

81.85%

Step-by-step explanation:

Given :

The average summer temperature in Anchorage is 69°F.

The daily temperature is normally distributed with a standard deviation of 7°F .

To Find:What percentage of the time would the temperature be between 55°F and 76°F?

Solution:

Mean = $\mu = 69$

Standard deviation = $\sigma = 7$

Formula : $z=\frac{x-\mu}{\sigma}$

Now At x = 55

$z=\frac{55-69}{7}$

$z=-2$

At x = 76

$z=\frac{76-69}{7}$

$z=1$

Now to find P(55<z<76)

P(2<z<-1)=P(z<2)-P(z>-1)

Using z table :

P(2<z<-1)=P(z<2)-P(z>-1)=0.9772-0.1587=0.8185

Now percentage of the time would the temperature be between 55°F and 76°F = $0.8185 \times 100 = 81.85\%$

Hence If the daily temperature is normally distributed with a standard deviation of 7°F, 81.85% of the time would the temperature be between 55°F and 76°F.

7 0

2 years ago