Write the expression x.x.x.x.x. Using an exponent. Name the base and the exponent.

What is the estimated difference? Round each number to the nearest ten thousand before finding the difference. 6,609,707 – 147,7

jok3333 [9.3K]

6,610,000-150,000= 6,460,000

7 0

3 years ago

You and your friends decide to camp for one night. Look at the diagram of your tent below. It is drawn on 1 cm squared paper. Th

Citrus2011 [14]

Answer:

1.Area of Porch =2.5m²

2.Number of people =3 people

Step-by-step explanation:

The porch area from the diagram has a dimension of 4 units by 10 units

One units =1cm

Thus the porch is drawn with dimensions of 4cm by 10 cm

Taking length is 10 cm and width as 4 cm, convert these dimensions according to the scale.

The scale is 1cm=0.25m

The width will be= 0.25×4=1 m

The length will be=0.25×10= 2.5m

Area of the porch is given by the formula;

length×width because its has a shape of a rectangle

Area of porch will be

=1m ×2.5m =2.5m²

2.

Find the dimensions of the tent

14 units by 10 units

Applying the scale on the dimensions by multiplying by 0.25

14×0.25=3.5m

10×0.25=2.5m

Width=2.5m

length=3.5m

Subtract the edge distance on both the length and width

Length will be=3.5-(0.25×2)=3.0m

Width will be=2.5-(0.25×2)=2.0m

Find the area remaining to be covered by the people while sleeping

=3.0×2.0=6m²

Area covered by sleeping bag and a ground mat

2m×1m=2m²

Number of people that can sleep in the tent

6m²÷2m²=3 people

8 0

4 years ago

Read 2 more answers

DUE NOW

Llana [10]

Answer:

Relative frequencies

First row

0.8125 ,0.1875 ,16

Second row

0.555 ,0.444 ,9

third row

18 , 7 , 25

Step-by-step explanation:

Given data

allowance No allowance total

Chores 13 3 16

No chores 5 4 9

Total 18 7 25

Relative frequencies

allowance No allowance total

Chores $\frac{13}{16} = 0.8125$ $\frac{3}{16} = 0.1875$ 16

No chores $\frac{5}{9} = 0.555$ $\frac{4}{9} = 0.444$ 9

Total 18 7 25

3 0

3 years ago

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

4 years ago

Read 2 more answers

A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house

White raven [17]

To determine the combined amount of cats sold: is equal to 117 cats

Let the number of Siamese cats sold be S.

Let the number of House cats sold be H.

Let the combined amount of cats sold be C.

Given the following data:

Number of Siamese cats sold = 36

Ratio of S to H = 4:9

Total ratio = 4 + 9 = 13

To determine the combined amount of cats sold:

The ratio of Siamese cats sold is given by:

$\frac{4}{13} \times C=36\\\\4C=36\times 13\\\\4C =468\\\\C=\frac{468}{4}$

C = 117 cats

8 0

3 years ago