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bezimeni [28]
3 years ago
12

Susan found the equation of the best fit line for the data shown in the scatterplot. The slope of the line of best fit is

Mathematics
1 answer:
Ivan3 years ago
7 0

Answer:

Negative

Step-by-step explanation:

From the scatter plot displayed, we could clearly observe the direction of the trend line as it produces a negative slope. For high values of y, the values of x are low and similarly, high values of x have low y values. Therefore, this kind of relationship between the two variables is considered negative.

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Two ramps are being built with the same slope. The first ramp is twice the height of the second ramp. Does the first ramp have t
sesenic [268]
Yes, because slope is the steepness of a line. if the steepness of those two lines are the same, you will have to expand the x-axis (the length of the first ramp).
6 0
2 years ago
You need to form a 10-inch by 15-inch piece of tin into a box (with no top) by cutting a square from each corner and folding up
Goshia [24]
This sort of question is answered easily by a graphing calculator. The square cut from each corner should be 1.962 inches on each side.

_____
After creating a fold-up flap of x inches in width, the base of the box will be
  (10 - 2x) by (15 - 2x)
and the depth of the box will be the width of the fold-up flap: x.

Then the volume of the box is
  v = x(10 -2x)(15 -2x) = 150x -50x^2 +4x^3
The derivative of the volume will be zero at the maximum volume.
  0 = dv/dx = 150 -100x +12x^2
This has roots at
  x = (100 ±√(100² - 4(12)(150)))/(2·12)
  x = (100 ± √2800)/24 = (25 ± 5√7)/6
Only the smaller of these solutions gives a maximum volume.

You should cut (5/6)(5-√7) ≈ 1.962 inches to obtain the greatest volume.

4 0
2 years ago
Functions Question (image attached)
zzz [600]

Answer:

x {}^{2}  \times + 4x

Step-by-step explanation:

f(x + 4) = (x + 4) {}^{2}  - 3(x + 4) - 4 \\  = x {}^{2}  + 8x + 16 - 3x - 12 - 4 \\  = x {}^{2}  + 4x

5 0
3 years ago
(15.) A toy is in the shape of a cone mounted on a hemisphere of same base
lisov135 [29]
Given:

Volume of toy=231 cm³

Diameter of a hemisphere= 7 cm

cone and hemisphere have equal radius.

radius of hemisphere = radius of cone = 3.5 cm

Height of hemisphere= radius of hemisphere= 3.5 cm

Let H be the height of toy

H= height of cone+ height of hemisphere

H = h + r , ( h = height of cone)

H = h + 3.5

volume of toy = volume of cone + volume of hemisphere

Volume of toy= 1/3πr²h + 2/3πr³

Volume of toy=πr²/3(h+2r)

231 = (22/7)×(3.5)² ×(1/3)(h+2×3.5)

231×3 =( 22×3.5×3.5)/7 (h+7)

h+7 = (231×3×7)/(3.5×3.5×22)

h+7 = (3×3)/(.5×.5×2)

h+7= 900 /50= 90/5= 18

h+7= 18

h=18-7

h= 11 cm

Height of toy = h+r

Height of toy = 11+3.5= 14.5

Height of toy =14.5 cm

Hence, the height of the toy = 13.5 cm
3 0
2 years ago
Solve for g: 4gh+3=-8
IRINA_888 [86]
You cannot calculate this.
4 0
3 years ago
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