The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30

The table shows the temperature (in degrees) for eight consecutive days as well as the respective number of ice cream cones an i

algol13

Answer:

B. 585

Step-by-step explanation:

A graph of the scatter plot and line of best fit is attached.

The temperature in this problem will be the independent variable, or x. This is because we are assuming that the number of ice cream cones sold depends on the temperature; this means the number of ice cream cones will be the dependent variable, or y.

This means in our graphing calculator, we will enter temperature in the first list and the number of cones in the second.

After drawing the scatter plot, we run the linear regression; we get the values for a and b in our equation, y = ax+b:

a = 5.08

b = 46.59

This gives us the equation y = 5.08x + 46.59.

Entering our temperature, 106, in for x gives us

y = 5.08(106) + 46.59 = 585.07 ≈ 585

5 0

2 years ago

The graph of the line with the equation y = 1/2 * x + 4 crosses the x-axis at which of the following

svlad2 [7]

Answer:

Step-by-step explanation:

so we are looking for the x intercept (where the line crosses the x axis).

to do this, we sub in 0 for y and solve for x.

y = 1/2x + 4....sub in 0 for y

0 = 1/2x + 4

-1/2x = 4

x = 4 * -2

x = -8 <=== so it crosses the x axis at (-8,0)

5 0

2 years ago

9 + 4 to the third power x (20-8) / 2 + 6

harkovskaia [24]

1110.5 is the answer and your welcome

5 0

2 years ago

The surface are I cannot find

Ilia_Sergeevich [38]

check the picture below.

so the triangular prism is really just 3 rectangles and 2 right-triangles,

now, we know the base of one of the triangles is 2.6, what's its height?

since it's a right-triangle, we can simply use the pythagorean theorem to get "h".

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad
\begin{cases}
c=\stackrel{hypotenuse}{5.2}\\
a=\stackrel{adjacent}{2.6}\\
b=\stackrel{opposite}{h}\\
\end{cases}
\\\\\\
\sqrt{5.2^2-2.6^2}=h\implies 4.5\approx h$

so, we can now, simply get the area of both of the triangles and the three rectangles and sum them up, and that's the area of the triangular prism.

$\bf \stackrel{two~triangles}{2\left[ \cfrac{1}{2}(2.6)(4.5) \right]}~~+~~\stackrel{rectangle}{(2.6\cdot 4.3)}~~+~~\stackrel{rectangle}{(4.3\cdot 3.9)}~~+~~\stackrel{rectangle}{(4.3\cdot 5.2)}
\\\\\\
11.7+11.18+22.36\implies \blacktriangleright 45.24 \blacktriangleleft$

5 0

2 years ago

Read 2 more answers

Please show your work how you solved this step by step ! Please answer this !!

erastovalidia [21]

Answer:

2x^2

Step-by-step explanation:

8 0

2 years ago