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3 years ago

HEEEEEELP pls its due by 10:00pm today or it will count missing pls help i will mark u brilliant

Mathematics

1 answer:

photoshop1234 [79]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

a. Since they tell you the amount of water increases 1/4 gallon in 2/5 minutes, you can also see that you'd have 2/4 gallons in 4/5 minutes. Then 3/4 gallons in 6/5 minutes; 4/4 or 1 gallon in 8/5 minutes. Finally you can go one more step and see that you would have 5/4 gallons or 1 1/4 gallons in 10/5 minutes.

10/5 minutes is equal to 2 minutes. so if you divide the gallons by 2 you'll know how many gallons you'd have in 1 minute. 5/4 divided by 2 is equal to 5/8 gallons.

Another way you can look at this is if you have 1/4 gallon in 2/5 of a minute, then you would only have half of the 1/4 gallon in 1/5 of a minute. Half of 1/4 gallon is equal to 1/8 of a gallon. So if you are getting 1/8 gallon in 1/5 of a minute, you can multiply them both by 5 to get your answer in gallons/minute.

5 times 1/8 is 5/8 and 5 times 1/5 minutes is 5/5 minutes or 1 minute.

So you get the same answer 5/8 gallons/minute

b. Above you calculated how many gallons you will get in 1 minute. So to figure out how much you will get in 5 minutes, you'd multiply 5/8 by 5. This gives you 25/8 or 3 1/8 gallons. If you started with 6 gallons in the tub, now you just add those two numbers together to get 9 1/8 gallons.

c. Again we can look at the sink the same as the bath tub. Keep adding the gallons and minutes until you can get the minutes fraction equal to a whole number. 3/5 gallon in 4/5 minutes double to be 6/5 gallons in 8/5 minute, 9/5 gallons in 12/5 minutes, 12/5 gallons in 16/5 minutes and finally 15/5 gallons in 20/5 minutes. 20/5 minutes is the same as 4 minutes in whole numbers.

So if you divide both the gallons and minutes by 4, you'll get how many gallons you're getting in 1 minute. 15/5 gallons divided by 4 is 15/20 gallons. This can be reduced down to 3/4 gallons. When you divide 4 minutes by 4, you get 1 minute. So the sink is getting 3/4 gallon/minute.

Which is getting more water per minute? 3/4 gallons/minute is more than 5/8 gallons/minute so the sink is filling more rapidly.

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D(1)=3 d(n) = d(n-1) - 14 what is the third term in the sequence

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2nd term = 3 - 14 = -11
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3 years ago

Need some help with the question

Artist 52 [7]

i’m doing big ideas too smh. you will keep change flip. and change them to an improper fraction.

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3 years ago

Read 2 more answers

What is the equation for the plane illustrated below?

TiliK225 [7]

Answer:

Hence, none of the options presented are valid. The plane is represented by $3 \cdot x + 3\cdot y + 2\cdot z = 6$ .

Step-by-step explanation:

The general equation in rectangular form for a 3-dimension plane is represented by:

$a\cdot x + b\cdot y + c\cdot z = d$

Where:

$x$ , $y$ , $z$ - Orthogonal inputs.

$a$ , $b$ , $c$ , $d$ - Plane constants.

The plane presented in the figure contains the following three points: (2, 0, 0), (0, 2, 0), (0, 0, 3)

For the determination of the resultant equation, three equations of line in three distinct planes orthogonal to each other. That is, expressions for the xy, yz and xz-planes with the resource of the general equation of the line:

xy-plane (2, 0, 0) and (0, 2, 0)

$y = m\cdot x + b$

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Where:

$m$ - Slope, dimensionless.

$x_{1}$ , $x_{2}$ - Initial and final values for the independent variable, dimensionless.

$y_{1}$ , $y_{2}$ - Initial and final values for the dependent variable, dimensionless.

$b$ - x-Intercept, dimensionless.

If $x_{1} = 2$ , $y_{1} = 0$ , $x_{2} = 0$ and $y_{2} = 2$ , then:

Slope

$m = \frac{2-0}{0-2}$

$m = -1$

x-Intercept

$b = y_{1} - m\cdot x_{1}$

$b = 0 -(-1)\cdot (2)$

$b = 2$

The equation of the line in the xy-plane is $y = -x+2$ or $x + y = 2$ , which is equivalent to $3\cdot x + 3\cdot y = 6$ .

yz-plane (0, 2, 0) and (0, 0, 3)

$z = m\cdot y + b$

$m = \frac{z_{2}-z_{1}}{y_{2}-y_{1}}$

Where:

$m$ - Slope, dimensionless.

$y_{1}$ , $y_{2}$ - Initial and final values for the independent variable, dimensionless.

$z_{1}$ , $z_{2}$ - Initial and final values for the dependent variable, dimensionless.

$b$ - y-Intercept, dimensionless.

If $y_{1} = 2$ , $z_{1} = 0$ , $y_{2} = 0$ and $z_{2} = 3$ , then:

Slope

$m = \frac{3-0}{0-2}$

$m = -\frac{3}{2}$

y-Intercept

$b = z_{1} - m\cdot y_{1}$

$b = 0 -\left(-\frac{3}{2} \right)\cdot (2)$

$b = 3$

The equation of the line in the yz-plane is $z = -\frac{3}{2}\cdot y+3$ or $3\cdot y + 2\cdot z = 6$ .

xz-plane (2, 0, 0) and (0, 0, 3)

$z = m\cdot x + b$

$m = \frac{z_{2}-z_{1}}{x_{2}-x_{1}}$

Where:

$m$ - Slope, dimensionless.

$x_{1}$ , $x_{2}$ - Initial and final values for the independent variable, dimensionless.

$z_{1}$ , $z_{2}$ - Initial and final values for the dependent variable, dimensionless.

$b$ - z-Intercept, dimensionless.

If $x_{1} = 2$ , $z_{1} = 0$ , $x_{2} = 0$ and $z_{2} = 3$ , then:

Slope

$m = \frac{3-0}{0-2}$

$m = -\frac{3}{2}$

x-Intercept

$b = z_{1} - m\cdot x_{1}$

$b = 0 -\left(-\frac{3}{2} \right)\cdot (2)$

$b = 3$

The equation of the line in the xz-plane is $z = -\frac{3}{2}\cdot x+3$ or $3\cdot x + 2\cdot z = 6$

After comparing each equation of the line to the definition of the equation of the plane, the following coefficients are obtained:

$a = 3$ , $b = 3$ , $c = 2$ , $d = 6$

Hence, none of the options presented are valid. The plane is represented by $3 \cdot x + 3\cdot y + 2\cdot z = 6$ .

8 0

3 years ago

A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than

ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

A cuboid has 6 faces.
A cuboid contains 8 vertices.
A cuboid contains 12 edges .
The total surface area of a cuboid is

= 2(length×breadth+breadth×height+length×height) square units

The dimension of a cuboid is written as length×breadth×height.

The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

$=[x\times 2x\times (x+2)]$ cubic inches

$=[2x^2(x+2)]$ cubic inches

$=(2x^3+4x^2)$ cubic inches

According to the problem,

$2x^3+4x^2=192$

$\Rightarrow 2x^3+4x^2-192=0$

$\Rightarrow 2(x^3+2x^2-96)=0$

$\Rightarrow (x^3+2x^2-96)=0$

$\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0$

$\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0$

$\Rightarrow (x-4)(x^2+6x+24)=0$

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

length=(2×4) inches=8 inches

and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

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3 years ago

What is the height of the pennant? Recall the formula

ANTONII [103]

Answer:

I think it is 30 inches

Step-by-step explanation:

4 0

2 years ago

HEEEEEELP pls its due by 10:00pm today or it will count missing pls help i will mark u brilliant​

HEEEEEELP pls its due by 10:00pm today or it will count missing pls help i will mark u brilliant