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kondaur [170]
3 years ago
7

There are 6 picas in 1 in. If a line of type is 3 3/4in long. What is this picas in length?

Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer:

3 3/4 in length is equal to 22.5 picas

Step-by-step explanation:

If there are 6 picas in 1 in, then in 3 3/4 in, we will first take this to decimal form, which is

3.75 in

Therefor 3.75 in = 6 picas × 3.75 = 22.5 pisca

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photoshop1234 [79]

8.

2 terms on left side, 3 on right side

9.

All variables count as coefficients,  so they’d be 8m, k, and -16k

10.

The constants are just numbers on their own, or without a variable next to it. Here it’d be 10 and -4


6 0
3 years ago
Mrs.Rodriguez is going to use 6 1/3 yards of material to make two dresses. The larger dress requires 3 2/3 yards of material. Ho
Ludmilka [50]
She has 6 1/3. The larger dress need 3 2/3. So 6 1/3 - 3 2/3 = 2 2/3
So Mrs. Rodriguez will need 2 2/3 for the smaller dress
8 0
3 years ago
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How would you shift the function
Otrada [13]

I believe that the answer would be:

g(x) = 12x + 17  

5 0
3 years ago
Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,
MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

       $=0-0+6$

       $=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

   It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴  x coordinate = $\frac{-(-7)}{2 \times 1} $

                         $\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

         = -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get   $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts  are the points where the parabola crosses the x-axis, which is the height $h(x)=0$. The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$.

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0
2 years ago
P is inversely proportional to V.<br> When V = 8, P = 5<br> Find a formula for Pin terms of V.
AveGali [126]

Answer:

P = \frac{40}{V}

Step-by-step explanation:

given P is inversely proportional to V then the equation relating them is

P = \frac{k}{V}

to find k use the condition when V = 8 , P = 5 , then

5 = \frac{k}{8} ( multiply both sides by 8 to clear the fraction )

40 = k

P = \frac{40}{V} ← equation of proportion

6 0
2 years ago
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