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xenn [34]
4 years ago
10

The graph of f(x)=e^x-1+5 is shown below.

Mathematics
1 answer:
Pie4 years ago
5 0

Answer:

g(x)=e^x-1 - 3

(Answer Choice C.)

Step-by-step explanation:

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A regular square pyramid has base edges of length 16 and its lateral faces are inclined 30­° to the base of the pyramid. What is
Vlad1618 [11]

Answer:

(1) 13.86 units.

(2) 1182.72 cubic units.

Step-by-step explanation:

Please find the attachment.

We have been given that a regular square pyramid has base edges of length 16 and its lateral faces are inclined 30­° to the base of the pyramid.

(1) We can find height of pyramid using tan.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

The length of opposite side will half the length of square base.

\frac{16}{2}=8

\text{tan}(30^{\circ})=\frac{8}{h}

h=\frac{8}{\text{tan}(30^{\circ})}

h=13.8564064605420367

h\approx 13.86

Therefore, the height of the pyramid will be 13.86 units.

(2). We know that volume of pyramid is 1/3 the product of base area and height.

V=\frac{1}{3}*bh

V=\frac{1}{3}*16*16*13.86

V=\frac{1}{3}*3548.16

V=1182.72

Therefore, the volume of the pyramid would be 1182.72 cubic units.

4 0
4 years ago
The graph of a quadratic function has a domain of (-∞, ∞) and range of [4, ∞). In two or more complete sentences, explain how th
pickupchik [31]
It if opens up, then the range will extednd to positive infinity.
if it opens down then the range will exted to negative infintiy.

there, 2 complete sentances
so we got range is from 4 to infinty so it opens up
6 0
4 years ago
Read 2 more answers
Apply the distributive property to factor out the greatest common factor. 6+30
marissa [1.9K]

The greatest common factor between 6 and 30 would be 6, but I need to see the problem on the original piece of paper of a picture to understand the distributive property part of your question.

6 0
4 years ago
Read 2 more answers
If f(x)= –2x+3 then f(3) – f(4)=
arsen [322]

Answer:

2

Step-by-step explanation:

F(3) means that we plug in 3 for the x value of the original equation, and F(4) means that we plug in 4 for the x value of the original equation

F(3) = -2(3) + 3

= -3

F(4) = -2(4) + 3

= -5

- 3 -(-5) = 2

4 0
3 years ago
Read 2 more answers
An architect is making a plan for a new circular playground. If the picture below is the
oksian1 [2.3K]

Answer:

201ft

Step-by-step explanation:

The circumference of a circle is equal to

C=piD

d=64ft

substitute:

c=pi(64)=64pift ft

assume pi=3.14

64pi=64*3.14=200.96ft

round to the nearest whole number:

200.96=201ft

another explanation:

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

                                                   = 64π

                                                   = 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

6 0
3 years ago
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