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3 years ago

Evaluate the expression for the given value of the variable 3a+4b; a= -6, b=-5

Mathematics

2 answers:

Dimas [21]3 years ago

5 0

3 x -6 + 4 x -5
= -18+ -20
= -38

m_a_m_a [10]3 years ago

3 0

Given 3a+4b, substitute -6 for a and -5 for b:

3(-6) + 4(-5) = -18 - 20 = -38

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2 years ago

What shape is created by the rotation and what is the

zlopas [31]

Answer:

<u>Option D: A cylinder with a circumference of about 50 units</u>

Step-by-step explanation:

The rest of the question is the attached figure.

The square shown has a perimeter of 32 units. The square is rotated about line k. What shape is created by the rotation and what is the approximate circumference of the base? Circumference of a circle: C = 2πr

===================================================

Given: the perimeter of the square = 32

perimeter of a square is four times the length of its side

So, the side length of square = 32/4 = 8 units

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Circumference of the base is C = 2 π * 8

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4 0

3 years ago

Answer choices 6 cubic units8 cubic units 10.6 cubic units 18 cubic units

antiseptic1488 [7]

Given,

Cylinder A has a volume of 6 cubic units

and height =3 units

The radius of cylinder A,

$\begin{gathered} r=\sqrt[]{\frac{V}{\pi h}} \\ =\sqrt[]{\frac{6}{3\pi}} \\ =0.8 \end{gathered}$

To find the volume of a cylinder B

$\begin{gathered} V=\pi r^2h \\ =(3.14)\times(0.8)^2\times(3) \\ =6.03 \end{gathered}$

Thus the volume of cylinder B is 6.03

7 0

1 year ago

A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

omeli [17]

Answer:

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b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

$\frac{dM}{dt}=0.1M-2400$

We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$