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3 years ago

A parabola is defined by the equation x2 = 3/4y. In which direction will the parabola open?

Mathematics

2 answers:

Rainbow [258]3 years ago

6 0

Answer:

Step-by-step explanation:

+x^2

pishuonlain [190]3 years ago

4 0

Upwards because a is one and therefore positive

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Question 4) Identify the surface area of the composite figure.

nignag [31]

The surface area of the composite figure is 714 sq. in.

<h3>What is formula of surface area of cube ?</h3>

Let, a be the edge of the cube.

Then, surface area of the cube = 6a² square unit

<h3>What is formula of surface area of cuboid ?</h3>

Let, length of the cuboid = l unit

Width of the cuboid = w unit

Height of the cuboid = h unit

Then, surface area of the cuboid = 2(lw+lh+hw) square unit

<h3>What is the required surface area ?</h3>

Given, edge of cube = 4 in.

∴ Surface area of cube = (6×4²) sq. in. = 96 sq. in.

Now, given, length of cuboid = 15 in.

Width of the cuboid = 10 in. & height of the cuboid = 7 in.

∴ Surface area of the cuboid = 2{(15×10)+(15×7)+(10×7)} sq. in.

= 2{150+105+70} sq. in.

= 2{325} sq. in. = 650 sq. in.

Here, we have to find the surface area of the composite figure.

We have to subtract the surface area from both of cube & cuboid, where they are attached.In that case, we have to subtract (4×4) from both.

So, we have to subtract 2(4×4) sq. in. = 32 sq. in.

∴ The surface area of the composite figure = (650+96-32) sq. in.

= 714 sq. in.

Learn more about composite figure here :

brainly.com/question/27915109

#SPJ10

5 0

2 years ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

3 years ago

The Great Wall of China is about 20 feet high and abiut 15 feet wide what is the volume of a 1-mile section of the wall? (The wh

allochka39001 [22]

Answer:

79200 feet is the volume of great wall.

Step-by-step explanation:

1 mile = 5280 feet

5280 feet × 15 feet = 79200

The height is the thing that we don't need to use, because you need volume, volume is the place where the wall at, the place is 79200 feet.

And I have question for you, have you ever go to China, did you go to the great wall, where did you come from.

7 0

3 years ago

Part a: write an algebraic expression for 6 more than 7 times a number. (5 points)

laila [671]

If the number is n, then the expression is 7n+6.

Three times the sum of a number and 8.

5 0

2 years ago

5. A television set is sale at P13,499 in cash or on installment terms, P2,500 each

klio [65]

Cash is always king. It will cost you more if you pay interest, but you may not have enough money to buy this very over priced $13,499 TV. I say shop around for a cheaper TV.

3 0

3 years ago