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mash [69]
3 years ago
15

There were 15 students who brought an item for show-and-tell. Each student had 3 minutes to present their item. Write an equatio

n to find how long show-and-tell lasted. 15 × 3 = m 3 − 15 = m 15 ÷ m = 3 m × 3 = 15 m × 15 = 3
Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0

Answer:

m=15\times 3

Step-by-step explanation:

Total number of students = 15

Time given to each student to present their item= 3 minutes

So, total time for the show can be calculated as m=15\times 3 minutes

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Which equation is quadratic in form?
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the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer

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A line with a slope of 4 and point (2, 1). Find the y-
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Answer: y=4x-7

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3 years ago
Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
8 0
3 years ago
PLEASE ANSWER THIS GET BRAINLIEST IF YOUR ANSWER IS CORRECT AND 50 POINTS I'm gonna upload the rest on my next question
kondaur [170]

Answer:

1.  24 cubic units

2.  180 cubic units

3.  1/16 cubic units

Step-by-step explanation:

<u>Question 1</u>

Volume of a rectangular prism = width × length × height

                                                   = 3 × 4 × 2

                                                   = 12 × 2

                                                   = 24 cubic units

<u />

<u>Question 2</u>

Volume of a rectangular prism = width × length × height

                                                   = 5 × 12 × 3

                                                   = 60 × 3

                                                   = 180 cubic units

<u>Question 3</u>

Volume of a rectangular prism = width × length × height

                                                   = 1/4 × 1/2 × 1/2

                                                   = 1/8 × 1/2

                                                   = 1/16 cubic units

4 0
2 years ago
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