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3 years ago

Middle School had 480 students. At the end of the

Mathematics

1 answer:

inessss [21]3 years ago

5 0

Answer:

there is a 5% increase

Step-by-step explanation:

say 480=100%

4.8=1%

divide 504 by 4.8 you get 105,

so 504=105%

this is 5 more than 100 therefore 5%

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Find a degree 3 polynomial having zeros -5, 1 and 5 and the coefficient of x^3 equal 1

mote1985 [20]

Answer:

$x^3 -x^2 -25x +25$

Step-by-step explanation:

$\text{The roots are,}~ \alpha = -5,~ \beta = 1 ~ \text{and}~ \gamma = 5\\\\\text{The polynomial is,}\\\\~~~x^3 - (\alpha + \beta + \gamma)x^2+(\alpha \beta + \beta \gamma+ \gamma \alpha)x - \alpha\beta \gamma\\\\=x^3 - (-5+1+5)x^2 +(-5 \cdot 1 + 1 \cdot 5 + 5 \cdot -5)x - (-5)(1)(5)\\\\=x^3 -(0+1)x^2 + (-5+5-25)x +25\\\\=x^3 -x^2 -25x +25$

7 0

2 years ago

Does this image have a vertical reflection, horizontal reflection, and rotation? I'll give brainiest!

ElenaW [278]

Answer:

Reflection with respect to the x axis

Step-by-step explanation:

Reflection with respect to the x avis, or horizontal reflection.

3 0

3 years ago

Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th

weqwewe [10]

Answer:

<u>640 pounds </u>

Step-by-step explanation:

The rest of the question is the attached figure

So, the total volume = V(cylinder ) + V(cone)

The volume of cylinder = π r² h

The volume of cone = π r² h/3

Both of the cylinder and the cone have the same diameter = 14 inches

So, the radius = 14/2 = 7 inches

The height of the cylinder is 13 inches and the height of the cone is 9 inches.

So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³

And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³

So, the total volume = 2,001.2 + 461.8 = 2,463 in³

So, the total weight = 0.26 pounds per cubic inch times the total volume

= 0.26 * 2463 = 640.38 pounds

= <u>640 pounds (to the nearest pound)</u>

6 0

3 years ago

OK so I have two questions to answer. So the first picture is question five in the second picture is question six.

Vesnalui [34]

Answer:

The slope is 2.25

The y-intercept is 3

Step-by-step explanation:

Assuming from the cut off picture, that we need to find the slope of ...

y=2.25x +3

y=mx+b form makes it easy to identify the slope and the y-intercept.

m is the slope and b is the y-intercept. Anything number that is in place of m, is the slope; and any nother in place of b is the y-intercept.

In that case, 2.25 is the slope and 3 is the y-intercept

3 0

3 years ago

Write an equation in slope intercept form for a line that passed through the two points below (-4,7), (8,1)

vichka [17]

Y= -1/2x + 5
Good luck!!!!

7 0

2 years ago