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2 years ago

Which algebebretic expression models the given word phrase 10 times the sum of a and b

Mathematics

1 answer:

Mila [183]2 years ago

7 0

Step-by-step explanation:

10 times the sum of a and b

solution,

10(a+b)

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Determine the slope for each of the following situations.

s344n2d4d5 [400]

Answer:

A= a slope of 4

B= a slope of 5

C= a slope of 3

Note: All are positive slopes

8 0

3 years ago

Consider the vitamin capsule below.

shusha [124]

Answer:

We have a cylinder and two semispheres.

The volume of a cylinder is equal to:

Vc =h*pi*r^2

where h is the height, r is the radius, and pi = 3.14

We know that the diameter is d = 8.4 mm, and the radius is half of that:

r = 8.4mm/2 = 4.2mm

Then the volume of the cylinder is:

Vc = 15.2mm*3.14*(4.2mm)^2 = 841.9 mm^3

The volume of a sphere is:

Vs = (3/4)*pi*r^3

The radius of the sphere is the same as the radius of the cylinder, and for a semisphere, we have half of the volume written above,

Vss = (3/8)*3.14*(4.2mm)^2 = 87.2mm^3

and we have two of those, so the total volume is:

Vt = 841.9 mm^3 + 2*87.2mm^3 = 1016.3 mm^3

The surface area of the figure is equal to the curved surface of the cylinder plus the surface of the two semispheres.

The curved surface of the cylinder is:

Sc = 2*pi*r*h = 2*3.14*4.2mm*15.2mm = 400.9 mm^2

The surface of a sphere is:

Ss = 4*pi*r^2

and for each semisphere, we can find the surface by dividing the previous equation by two, but we have two semispheres, so we can jump a step and think the two semispheres as only one sphere.

Ss = 4*3.14*(4.2mm)^2 = 221.6mm^2

The total surface is St = 221.6mm^2 + 400.9 mm^2 = 622.5 mm^2

7 0

3 years ago

Find the value of Q in the following system so that the solution to the system

lisabon 2012 [21]

Answer:

Step-by-step explanation:

If the solution of the system of equations is {(x, y): x - y = 4} - infinitely many solutions, then this system is consistent and dependent.

x - 3y = 4 <em>multiply both sides by 2</em>

2x - 6y = 8

Therefore Q = -6

8 0

4 years ago

2. The size of a conC. 3 times the size of a cylinder is:

tigry1 [53]

Answer:

The answer is A.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Consider a line whose slope is 6 and which passes through the point (8.–2).

Zolol [24]

Answer:

$y=6(x-8)-2\qquad\text{point-slope form}$

$y=6x-50\qquad\text{slope-intercept form}$

Step-by-step explanation:

The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.

The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

$y=m(x-xo)+yo$

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

$y=mx+b$

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

$\boxed{y=6(x-8)-2\qquad\text{point-slope form}}$

To find the slope-intercept form, we operate the above equation:

$y=6x-48-2$

$\boxed{y=6x-50\qquad\text{slope-intercept form}}$

3 0

3 years ago