All categories

3 years ago

How many times greater is the value of the 4 in 64781 than the value of the 2 in 25409

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

64,781 --- 4,000

25,409 --- 400

4,000÷400=10

You might be interested in

brooke has scores of 84,72,90,87, and 95 on her first five quizzes. After taking the sixth quiz, brookes mean score increased. w

masya89 [10]

Answer:

Any number above 85.6

Step-by-step explanation:

To calculate the mean you add all of the scores together then divide by how many scores you added

So in this case you would add 84 + 72 + 90 + 87 + 95 = 428

Then you would Divide 428 by five because you are adding 5 numbers

428/5 = 85.6

It says the score increased so as long as then score is greater than 85.6 it is an option.

8 0

3 years ago

Read 2 more answers

Jorge's lunch cost $19. He left a 22% tip.

Mashcka [7]

Answer:

$23.18

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio

Basile [38]

Answer:

$W_{max}=480m\\ L_{max}=160m$

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, $\implies$ 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

$A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2$

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

$x_{max}=-b/2a$
$f(x)_{max}=f(x_{max})$

Since our function is A(L)=640L-2L², we get

a=-2
b=640

plug in the value of a and b into the first formula:

$L_{max}=-(640)/2(-2)\implies 160$

$A(L)_{max}=640(160)-2(160)^2\implies 76800$

hence,the dimensions of the pen that will maximize the area are L=160m and W=76800/160=480m

and we're done!

3 0

2 years ago

Factorise p^2 + q^2 +5(p^2 + q^2)

Vinvika [58]

Step-by-step explanation:

p² + q² + 5(p² + q²)

= 1(p² + q²) + 5(p² + q²)

= (1 + 5)(p² + q²)

= 6(p² + q²).

5 0

2 years ago

Evaluate the line integral using the fundamental theorem of line integrals. use a computer algebra system to verify your results

mario62 [17]

$\dfrac{\partial f}{\partial x}=\cos x\sin y\implies f(x,y)=\sin x\sin y+g(y)$

$\dfrac{\partial f}{\partial y}=\sin x\cos y=\sin x\cos y+\dfrac{\mathrm dg}{\mathrm dy}$
$\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

$f(x,y)=\sin x\sin y+C$

$\displaystyle\int_{\mathcal C}\cos x\sin y\,\mathrm dx+\sin x\cos y\,\mathrm dy=\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(\frac{3\pi}2,\frac\pi2\right)-f(0,-\pi)=-1$

7 0

2 years ago