Help please…………….6/11/21

The actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have the relationship between the actual air temperature x (in degrees Fahrenheit) and the temperature y adjust for wind chill (in degrees Fahrenheit, given by 20 mph wind) is given as:

y = -22 + 1.4x

When.

The temperature adjusted for wind chill, y  = -15 degrees Fahrenheit
Put this value in the given linear equation, we get:

-15 = -22 + 1.4x

-15 + 22 = 1.4x    (add 22 on both sides)

7 = 1.4x

x = 5 degrees Fahrenheit  (divide by 1.4 on both sides)

Thus, the actual temperature is 5 degrees Fahrenheit if the temperature adjusted for wind chill is -15 degrees Fahrenheit.

Learn more about the linear equation here:

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(0,2). y=mx+b or 2=-2 × 0+b, or solving for b: b=2-(-2)(0).

Answer:

the required equqtion is x-y=2

Answer:

10/35

Step-by-step explanation:

4*2.5=10

14*2.5=35

4/14=10/35

Answer:

-12

Step-by-step explanation:

f (x)=6x – 6

Let x= -1

f(-1) = 6(-1) -6

      = -6-6

     = -12

9514 1404 393

Answer:

  5196 m

Step-by-step explanation:

The difference in elevation is found by subtracting one elevation from the other. Usually, we're interested in the positive difference, so we subtract the smaller number from the larger.

  5040 -(-156) = 5040 +156 = 5196

The difference in elevation is 5196 meters.

Answer:

Greg is 28.

Step-by-step explanation:

Greg's age is y.

y - 5 = 23

y - 5 + 5 = 23 + 5

y = 28

9514 1404 393

Answer:

  ΔWZT ~ ΔWXY

Step-by-step explanation:

Angle XWY and angle ZWT are vertical angles, so congruent.

The sides on either side of those angles are proportional:

  WZ/WX = WT/WY

  11/22 = 10/20 = 1/2

so, we can claim similarity by the SAS Theorem.

  ΔWZT ~ ΔWXY

Answer:

Step-by-step explanation:

First we find out the area of circle, and then subtract the area of triangle from it to find the area of the shaded region

Area of Circle

Here, r=radius

area of circle= π×r²

                     = π × 5²     (radius=half of diameter)

                     = 25π

                     = 78.54cm²

Area of Triangle

Here, b=base, h=height

area of triangle = [tex]\frac{1}{2\\}[/tex]×b×h

                          = [tex]\frac{1}{2}[/tex]×8×6

                          = 24cm²

Area of shaded region= area of circle - area of triangle

                                     = 78.54 - 24

                                     = 54.54

                                     ≈ 54.5cm² [Ans]

Answer:

10

Step-by-step explanation:

Triangles AYZ and XYZ are congrunt, therefore AZ = XZ = 10

Answer:

One of the basic tenets of statistics that every student learns in about the second week of intro stats is that in a skewed distribution, the mean is closer to the tail in a skewed distribution. So in a right skewed distribution (the tail points right on the number line), the mean is higher than the median.

Step-by-step explanation:

The distribution is said to be right-skewed. In such a distribution, usually (but not always) the mean is greater than the median, or equivalently, the mean is greater than the mode; in which case the skewness is greater than zero.

Answer:

B. 56° and 38°

Step-by-step explanation:

The sum of each of the two angles sums up to 90° ;

A.) 13° and 77°

Sum of A ; (13 + 77)° = 90°

B.) 56° + 38°

Sum = 56° + 38° = 94°

C) 37° and 53°

Sum = 37° + 53° = 90°

D.) 42° and 48°

Sum = 42° + 48° = 90°

Hence, the pair of degree measure which does not belong is B. 56° and 38°

Answer:

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Step-by-step explanation:

Given

[tex]d \to miles[/tex]

[tex]C \to cost[/tex]

So:

[tex](d_1,C_1) = (500,420)[/tex] --- May

[tex](d_2,C_2) = (620,444)[/tex] --- June

Required

Express as a function

Start by calculating the slope (m)

[tex]m = \frac{\triangle C}{\triangle d}[/tex]

[tex]m = \frac{444-420}{620-500}[/tex]

[tex]m = \frac{24}{120}[/tex]

Simplify

[tex]m = \frac{1}{5}[/tex]

The equation is:

[tex]C(d) = m(d - d_1) +C_1[/tex]

[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]

[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]

Take LCM

[tex]C(d) = \frac{1}{5}d + 320[/tex]

Answer:

4.605170185988091

Step-by-step explanation:

ln 100 = 4.605170185988091

e^4.605170185988091 = 100

Step-by-step explanation:

100=1 log 10(1)=0

I hope this is helpful for you

Answer:

the coordinates of pre - image point H is (3,2)

Answer:

c time for learning

Step-by-step explanation:

Answer:

Step-by-step explanation:

First of all, to keep our numbers manageable, we are going to let year 2001 = 0 so year 2012 = 11.  The coordinates that result from these years/population numbers are (0, 22200) and (11, 13950). Since this linear, we can plug those 2 coordinate pairs into the slope equation to find the rate at which the population is decreasing in people per year:

[tex]m=\frac{13950-22200}{11-0}=\frac{-8250}{11}=-750\frac{people}{year}[/tex] That means that the town is losing people at the rate of 750 per year. We can use that slop along with one of the coordinate points to write the linear equation representing this situation:

[tex]y-22200=-750(x-0)[/tex] and

y = -750x + 22200. That answers part A.

Now for B we need to find y when x = 13 (remember we let year 2001 = 0, so year 2014 = 13):

y = -750(13) + 22200 so

y = 12450 people in the year 2014

Answer:

216

Step-by-step explanation:

outcome of one die is 1 out of 6 and if you roll 3 dices, the outcome is 216 possible outcomes because 6 times 6 times 6 is 6 cubed or 216

Answer:

[tex]Shaded = 212.5cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The shaded region

First, calculate the area of the complete rectangle

[tex]Area =Length * Width[/tex]

[tex]Area = 14cm * 25cm[/tex]

[tex]Area = 350cm^2[/tex]

Next, calculate the area of the triangle

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} *25cm * 11cm[/tex]

[tex]Area = 137.5cm^2[/tex]

Subtract the area to calculate the shaded region area

[tex]Shaded = 350cm^2 - 137.5cm^2[/tex]

[tex]Shaded = 212.5cm^2[/tex]

Answer:

Exact Form:

x = 2 √ 2 − 1 3 , − 2 √ 2 − 1 3

Decimal Form:

x = 2.49509379 , − 3.16176045

Step-by-step explanation:

Simplify the decimals as needed

Answer:

50 hot dogs

150 sodas

Step-by-step explanation:

set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold

h + s = 200

s = 3h

h + 3h = 200

4h = 200

h = 50

s = 200-50 or 150

The area of the shaded segment is 100/3π square centimeter

What is a area?

Area is nothing but the surface bounded by the object in 2D.

What is a segment?

A part of a line or curve between two points In circle we can say segment is nothing but a region or area cutoff from the circle by chord.

What is a segment area?

Area bounded by a segment. Area of segment has a formula (θ/360°)πr²

According to the question

θ=120°

radius =10cm

area of segment = (120°/360°)π(10²)

120°/360° =0.333

10²=100

0.333×π×100

33.3π or (100/3)π

Thus area of the shaded segment is 33.3π or (100/3)π square centimeters

To know more about area here

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Answer:

parallel

Step-by-step explanation:

the slope of each line is 5/6 which means the lines are parallel

Answer:

"fair" srry im only in 8th so im d.u.m

Step-by-step explanation:

Answer:g(x) is flipped and 2 times as steep and shifted left 5

Step-by-step explanation:

Answer:

3408

Step-by-step explanation: