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4 years ago

Write 4,007,603 in expanded form using powers of 10 with exponents

Mathematics

1 answer:

kenny6666 [7]4 years ago

8 0

Hi mate!
You stuck?

(4^6) + (7^3) + (6^2) + (3^1)

Hope this helps! :)

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A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds $60. The

Doss [256]

Answer:

6x + 3.5y is greater than 60

Step-by-step explanation:

Cost of x bags of popcorn = 6x

Cost of y bottles of soda = 3.5y

Total cost = 6x + 3.5y

To get a souvenir poster, this cost must exceed 60

6 0

4 years ago

Evaluate the expression 2(4-3) in two ways pls help

Morgarella [4.7K]

Answer:

Step-by-step explanation:

Method 1:

First do the operation inside parenthesis

2*(4-3) = 2*1 = 2

Method 2:

Use distributive property: a*(b +c) = a*b + a*c

2*(4-3) = 2*4 - 2*3

= 8 - 6

= 2

6 0

3 years ago

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

7 0

3 years ago

Solve for x. The polygons are similar

kotykmax [81]

$\frac{8x-2}{42}=\frac{63}{49}\\\frac{8x-2}{42}=\frac{9}{7}\\7(8x-2)=9\cdot42\ /:7\\8x-2=9\cdot6\\8x-2=54\\8x=54+2\\8x=56\ /:8\\x=7$

4 0

3 years ago

Find the sum of the decimal models.

Kruka [31]

8.3 is the decimal for the first model and for the second model it is 4.8. Now you just need to add them and you should get 13.1 as your answer. If helped mark me the brainiest!!

5 0

3 years ago