Wes wants to buy a new truck. There are 3 models to choose from, each has 4 choices of engine, 3 choices of transmission, 8 color choices, 3 interior color choices, and 5 different options packages to choose from. How many different trucks can be built with all of these choices? (Wes can only pick one option package.)

Answer:

Step-by-step explanation:

#a

Perimeter=Sum of sides

#b

Area:-

Answer:

Perimeter = 1436.3 m (nearest tenth)

Area = 94641.0 m² (nearest tenth)

Step-by-step explanation:

The perimeter is the sum of the lengths of all the sides.

[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]

Answer:

Step-by-step explanation:

Area of a triangle:

base = 4 units

height = 3 units

[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]

Answer:

Slope: [tex]-\frac{3}{2}[/tex]

y-intercept: (0,1)

[tex]\left[\begin{array}{cc}x&y&0&1\\2&-2\end{array}\right][/tex]

here's the graph since the other knucklehead didn't add it

The inequality expression that accurately represents the phenomena described in the question is:
212– 1/500 e < 195 (Option A)

Inequalities can be used to represent many real-life problems. Inequalities are similar to equations.

The inequality above represents the situation in which the boiling point of the sea reduces as the altitude increases.

Learn more about inequalities at:

https://brainly.com/question/24372553

Answer:

2. x = 34 and 1. x = 39

Step-by-step explanation:

1. 39 is the right answer because x = 56 - 17 equals 39 which means you have to subtract.

Answer:

46.24 mm²

Step-by-step explanation:

Given:

s = 6.8 mm

To find the area of the square, simply square the measure of the side length.

⇒ Area of polygon = s²

Substitute the measure of the side length:

⇒ Area of polygon = (6.8)²                                                              [s = 6.8 mm]

Simplify the area:

⇒ Area of polygon = (6.8)(6.8)

⇒ Area of polygon = 46.24 mm²

Answer:

46.24mm.²

Step-by-step explanation:

Multiplying base by height:

6.8 times 6.8 = 46.24mm.²

Or doing 6.8² (same thing)

Since this is a square you can do 6.8 squared.

To solve this function, we must add like terms until there is nothing that we can add, multiply, subtract, divide, or simplify

  [tex]2(x+7) +3(x+1) = 2x + 14 + 3x + 3 = 5x + 17[/tex]

Hope that helps!

The correct answer would be- D: 1.601 x 10^9

Answer:

the answer is  D: 1.601 x 10^9

Step-by-step explanation:

Answer:

x = 6

y = 7

Step-by-step explanation:

10x - 8y = 4   ⇒ ( 1 )

-5x + 3y = -9  ⇒ ( 2 )

( 2 ) × 2

2 × ( -5x + 3y = -9 )

-10x + 6y = - 18  ⇒ ( 3 )

( 1 ) + ( 3 )

10x - 8y -10x + 6y = 4 - 18

-2y = - 14

Divide both sides by ( - 2 )

y = 7

Now let us replace y with 7 to find the value of x.

For that, let us use equation ( 1 ).

10x - 8y = 4

10x - 8 × 7 = 4

10x - 56 = 4

10x = 56 + 4

10x = 60

Divide both sides by 10.

x = 6

Answer:

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

10x-8y=4

x=2(2y+1)/5

Substitute.

[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]

Solve.

-y-2=-9

Add by 2 from both sides.

-y-2+2=-9+2

Solve.

-y=-7

Divide by -1 from both sides.

-y/-1=-7/-1

Solve.

Divide the numbers from left to right.

-7/-1=7

y=7

Substitute of y=7.

x=2(2*7+1)/5

PEMDAS stands for:

2(2*7+1)/5

Do parenthesis first.

2*7=14

14+1=15

2(15)/5

Multiply.

2*15=30

Divide.

30/5=6

x=6

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

2 out of 24

Step-by-step explanation:

Two days, meaning each day there will be a chance that Justin is chosen to take away that chance for one of his fellow classmates.

What we know:

Lets first convert the mixed partial fraction --> improper fraction

       --> for easier calculation

After Conversion:

To find how many scoops of birdseed will Samantha put into the feeder we must:

  --> divide the total capacity by the scoop's capacity

       --> find the number of scoops:

Solve:

  [tex]Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4[/tex]

Thus the total number of scoops that Samantha will put into the bird feeder is 4

Answer: 4

Hope that helps!

Answer:

d is equal to 3/6 or 1/2

Step-by-step explanation:

to solve this you need to convert 1/3 to have the demoninator of 6 by multiplying the top and bottom by a factor of 2 to get 2/6. then move 2/6 to the other side of thr equation by subtracting so 5/6 - 2/6 which is 3/6 or 1/2

The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

For this case, the equation of the circle that models tha circular area considered is:

[tex](x-9)^2 + (y+11)^2=16[/tex]

Writing this in standard form and comparing it with the standard equation, we get:

[tex](x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2[/tex] (didn't took (-4)² = 16 since radius cannot be negative).

Thus, we get center's coordinate as (9,-11) and radius of 4

The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.

Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m

Learn more about equation of a circle here:

https://brainly.com/question/10165274

Step-by-step explanation:

the volume is 4/3 × pi × r^3

4/3 × 3 × 4^3

the volume is 256 cm cubed.

the radius is 4 cm.

Answer:

-5

Step-by-step explanation:

formula of slope is

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

y2 is the second y value

y1 is the first y value so you get

[tex] \frac{6 - 11}{14 - 13} [/tex]

that leaves you with -5 /1 which can be written as -5

-5

The slope is rise over run. In other words, it is the change in y divided by the change in x.

Slope Formula

The formula for slope is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]. This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.

Final Slope

The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.

Answer:

Step-by-step explanation:

First you take your smallest number, which in this case is 4 - then you find your maximum number which is 14. Then we can list these numbers on a piece of paper and cross a number out from each side until you reach the middle number which would be 8. Then you go from the min to the middle number which would be 5. Then you repeat between the max number and the middle number which is 11. So your minumum would be 4, max would be 14, Q1 would be 5 Median would be 8 and Q3 would be 11. Let me know if I got it right! I haven't done it for a while, but I am pretty sure this is correct..

The missing values are:

Minimum value = 4 ,

Q₁ = 5 ,

Median = 6,

Q₃ = 11

Maximum value = 14.

The set of values known as quartiles divides a batch of data into four equal portions.

We have,

Minimum value = 4

Now, arrange the data in ascending order

4,4,5,5, 6, 6, 8, 10, 11, 11, 12, 14

Then, Quartiles

Q₁ = [ (n+1)/4]th term

   = (12+1) / 4

  = 3.25th term

  = 3rd term + 0.25 ( 4th term - 3th term)

  = 5 + 0.25 (5 -5)

   = 5

Now, Median = (N/2)th term

           = 12 /2

           = 6th term

          = 6

and, Q₃ = [3(n+1)/4]th term

   = 3 × 3.25

   = 9.75

   = 9th term + 0.75( 10th term - 9th term)

   = 11 + 0.75 (10 -10)

   = 11

and, Maximum value = 14

Learn more about Quartiles here:

brainly.com/question/27504751

#SPJ2

Answer:

Austria-Hungary was home to many different ethnic groups.

Step-by-step explanation:

hope it helps ;))

Answer:

B : 1.8 hours a day.

Step-by-step explanation:

For 5 days she practices for 4 hours.

Subtract the 4 hours by the combined 13 hours.

Divide the remainding 9 hours of video game time by the 5 days.

Answer:

33 ounces.

Step-by-step explanation:

There are 16 ounces in a pound, so multiply 33/4 by 16, which gives you 132 ounces.  We can then divide this number by 4, 132/4, giving us 33 ounces of rice in each container.

Answer:

The height is 15.992 in

Step-by-step explanation:

1. The equation for a cylinder is [tex]V=\pi r^2h[/tex].  In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]

2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]

3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]

4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)

Answer:

9

Step-by-step explanation:

Lowest chart value = 0

Highest chart value = 9

Range: highest chart value - lowest chart value

Range: 9 - 0

Range: 9

Hope this helps!

Step-by-step explanation:

corresponding angles (CA)

Alternative interior angles (AIA)

co interior angles (CIA)

5 + 3 = 180 ( CIA)

83⁰ + 3 = 180

angle 3 = 180 - 83⁰

angle 3 = 97

angle 8 = angle 3.... CA

angle 8 = angle 16 ....CA

ANGLE 16 = ANGLE 12.....CA

angle 5 = angle 13 ....CA

ANGLE 3 = Angle 6......AIA

ANGLE 5 = ANGLE 4.......AIA

ANGLE 4 = ANGLE 7......CA

ANGLE 6 = ANGLE 1......CA

ANGLE 13 = ANGLE 9......CA

ANGLE 12 = ANGLE 14.....AIA

ANGLE 13 = ANGLE 11.....AIA

ANGLE 14 = ANGLE 10.......CA

ANGLE 11 = ANGLE 15

NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....

QUESTION 2 :

ANGLE 1 = ANGLE 7 .......AIA

2X + 40 = 6X - 20

40 + 20 = 6X - 2X

60 = 4X

60/4 = X

15⁰ = X

SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70⁰

AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70⁰

ANGLE 7 = ANGLE 3 ......CA

ANGLE 3 = ANGLE 5 .....AIA

ANGLE 3 + ANGLE 6 = 180 .....CIA

70 + ANGLE 6 = 180⁰

ANGLE 6 = 180 - 70⁰ = 110⁰

angle 2 = Angle 6

ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE

ANGLE 8 = ANGLE 4

NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....

Did I really jst got 15 points for this (ノ｀Д´)ノ彡

HEHEEE JK:)

Answer:

y = -4(x +2)² + 7

formula for parabola: y = a(x-h)² + k

Where (h, k) denotes the vertex

First find a:

Thus equation:

Answer:

y = -4x^2 - 16x - 9.

Step-by-step explanation:

The vertex form is:

y = a(x - b)^2 + c     where a is a constant,  and (b, c) is the vertex

So we have

y = a(x + 2)^2 + 7

When x = -1,  y = 3 so:

3 = a(-1 + 2)^2 + 7

3 = a + 7

a = -4.

So the equation is

y = -4(x + 2)^2 + 7

y = -4x^2 - 16x -16 + 7

y = -4x^2 - 16x - 9.

Step-by-step explanation:

$240 for 12 t-shirts.

that means 240/12 = $20 per shirt.

therefore, only the second option (with $100, $200, $300, $400) is correct. when adding 5 shirts, the price goes up 5×$20 = $100.

all the other options use a different unit price.

18 inch²

Step-by-step explanation:

The same formula of triangle

1/2(12×6)

18 inch²