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3 years ago

What is the value of -3mn + 4m - 3 when m = 2 and n = -4?

Mathematics

2 answers:

photoshop1234 [79]3 years ago

6 0

The value will be 29

grandymaker [24]3 years ago

4 0

-3(2)(-4)+4(2)-3=24+8-3=29

The value is 29

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F(x) = x^2 and g(x) = 2x-3 What is the value of g(4) + f(-3)?

Komok [63]

Answer: 66

Step-by-step explanation:see attachment.

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3 0

3 years ago

What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?

Pani-rosa [81]

Answer: The required fourth term of the geometric sequence is $\dfrac{10}{9}.$

Step-by-step explanation: We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

$a(1)=30,~~~~~r=\dfrac{1}{2}.$

We know that

the n-th term of a geometric sequence with first term a1 and common ratio r given by

$a(n)=a(1)r^{n-1}.$

Therefore, the fourth term of the given geometric sequence will be

$a(4)=a(1)r^{4-1}=30\times r^3=30\times\left(\dfrac{1}{3}\right)^3=\dfrac{30}{27}=\dfrac{10}{9}.$

Thus, the required fourth term of the geometric sequence is $\dfrac{10}{9}.$

7 0

2 years ago

Read 2 more answers

In 2000, Greenville had a population of 63,205 people. Greenville’s population increased by 2500 people each year. In 2000, Spri

Llana [10]

Answer:

year 6.6025 if there is no typo in your question and numbers are right.

Step-by-step explanation:

G = 63205 + 2500x

S = 50000 + 4500x

since 9% of 50000 = 0.09(50000) = 4500

find when G = S

63205 + 2500x = 50000 + 4500x

subtract both sides by 2500x to move x terms to the right

63205 = 50000 + 2000x

subtract both sides by 50000 to move the number to the left, so we can get like terms on each side

13205 = 2000x

divide both sides by 2000

x = 6.6025

6 0

2 years ago

Find the volume of the solid, please

dsp73

Answer:

$V \approx=1436.8$

Step-by-step explanation:

Variables and symbols:

r = radius
V = volume
A = surface area
C = circumference
π = pi = 3.1415926535898
√ = square root

Volume of a sphere in terms of radius:

$V = \frac{4}{3}\pi r^3$ , $V \approx 4.1888r^3$

To calculate the volume of a sphere:

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.

Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.

Solution:

$V=\frac{4}{3} \pi r^{3} =\frac{4}{3} *\pi *7^{3} \approx1436.75504$