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nata0808 [166]
3 years ago
13

Let b = 10. What is the value of 6b – 21?

Mathematics
2 answers:
IrinaVladis [17]3 years ago
5 0
6(10)-21
60-21
39 is the answer.
Dimas [21]3 years ago
4 0
Substitute the answer for b in the equation.

=6b - 21
=6(10) - 21
=60 - 21
=39

Hope this helps! :)
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The digits 2, 4, and 6 can be arranged to form six different three-
Amanda [17]

Answer:

246

264

426

462

624

642

Step-by-step explanation:

8 0
3 years ago
The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasing at a rate of 2.1 in/s. At
givi [52]

Answer:

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

Step-by-step explanation:

Geometrically speaking, the volume of the right circular cone (V), in cubic inches, is defined by the following formula:

V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h (1)

Where:

r - Radius, in inches.

h - Height, in inches.

Then, we derive an expression for the rate of change of the volume (\dot V), in cubic inches per second, by derivatives:

\dot V = \frac{1}{3}\cdot \pi \cdot (2\cdot r\cdot h \cdot \dot r + r^{2}\cdot \dot h) (2)

Where:

\dot r - Rate of change of the radius, in inches per second.

\dot h - Rate of change of the height, in inches per second.

If we know that r = 120\,in, \dot r = 1.5\,\frac{in}{s}, h = 107\,in and \dot h = -2.1\,\frac{in}{s}, then the rate of change of the volume is:

\dot V \approx 8670.796\,\frac{in^{3}}{s}

The volume of the cone is changing at a rate of approximately 8670.796 cubic inches per second.

8 0
3 years ago
What value of n makes the equation true? Show your work.
GalinKa [24]

Answer:

The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.

Step-by-step explanation:

The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.The answer would be A) n= 1.40.

6 0
3 years ago
The ratio of koi to goldfish in my pond is 3:11. there are 70 fish in the pond. How many Kois are there?
kondaur [170]

Answer:

There are 15 koi

Step-by-step explanation:

koi: goldfish : total

3          11           14

There are 70 fish total

70/14 = 5

Multiply each term by 5

koi: goldfish : total

3*5      11*5      14*5

15          55          70

There are 15 koi

4 0
3 years ago
In AFGH, the measure of ZH=90°, the measure of ZG=7°, and FG = 5.1 feet. Find
Natali5045456 [20]
Cos(7)=5.1/x
X=5.1/cos(7)
X=5.1/0.99
X=5.15

The length is 5.15 ft
5 0
3 years ago
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