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2 years ago

Angle BAC is congruent to Angle DEC: Given

1 answer:

3 0

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A sphere has a radius of 1.5 inches.

Schach [20]

V = (4/3)×3.14×(1.5^3)
V = 14.1 in^3

7 0

2 years ago

A log is floating on swiftly moving water. A stone is dropped from rest from a 50.8-m-high bridge and lands on the log as it pas

TiliK225 [7]

Answer:

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

Step-by-step explanation:

Height of bridge, h = 50.8 m

Speed of log = 5.36 m/s

We need to find the horizontal distance between the log and the bridge when the stone is released, for that first we need to find time taken by the stone to reach on top of log,

We have equation of motion. s = ut + 0.5 at²

Initial velocity, u = 0 m/s

Acceleration, a = 9.81 m/s²

Displacement, s = 50.8 m

Substituting,

s = ut + 0.5 at²

50.8 = 0.5 x 9.81 x t²

t = 3.22 seconds,

So log travels 3.22 seconds at a speed of 5.36 m/s after the release of stone,

We have equation of motion. s = ut + 0.5 at²

Initial velocity, u = 5.36 m/s

Acceleration, a = 0 m/s²

Time, t = 3.22 s

Substituting,

s = ut + 0.5 at²

s = 5.36 x 3.22 + 0.5 x 0 x 3.22²

s = 17.24 m

Horizontal distance between the log and the bridge when the stone is released = 17.24 m

3 0

3 years ago

Is the graph increasing, decreasing, or constant where -3 < X <-1?

Romashka [77]

Answer:

decreasing

Step-by-step explanation:

since its negative it will slope down

8 0

3 years ago

Please show your work this question what made you come to the conclusion. Thank you

AveGali [126]

Answer:

B the range, the x- and y-intercept

Step-by-step explanation:

the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).

but the range changes, as for the original function y could only have positive values - even for negative x.

the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.

the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.

the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.

the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.

the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)

$3 {b}^{x + 1} = 2$