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3 years ago

Write 8 in scientific notation

Mathematics

1 answer:

mihalych1998 [28]3 years ago

7 0

Answer:

8 x 10 ^0

Step-by-step explanation:

the reason why is because there is no 0 behind the 8 so the exponent could not say a number so it is just 0

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You just bought a dog and need to put a fence around your yard. If your yard is 22.5 ft by 28.5 how many feet of fencing will yo

Diano4ka-milaya [45]

Answer:

102 feet of fencing.

Step-by-step explanation:

Since this is asking to enclose the yard, it is a perimeter question.

22.5 x 2 = 45

28.5 x 2 = 57

45 + 57 = 102

102 is your answer.

Hope this helps.

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2 years ago

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What is the answer to this 765 divided by 5

12345 [234]

765 divides by 5 = 153.

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2 years ago

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1. Which point on the axis satisfies the inequality y

grigory [225]

Answer:

1) Point $(1,0)$ -----> see the attached figure N $1$

2) The value of x is $4$

3) I quadrant

4) $(1,1)$

5) $y>-5x+3$

Step-by-step explanation:

Part 1)

we know that

If the point satisfy the inequality

then

the point must be included in the shaded area

The point $(1,0)$ is included in the shaded area

Part 2)

we have

$x-2y\geq 4$

see the attached figure N $2$

we know that

The value for x on the boundary line and the x axis is equal to the x-intercept of the line $x-2y= 4$

For $y=0$

Find the value of x

$x-2(0)= 4$

$x=4$

The solution is $x=4$

Part 3)

we have

$x\geq 0$ -----> inequality A

The solution of the inequality A is in the first and fourth quadrant

$y\geq 0$ -----> inequality B

The solution of the inequality B is in the first and second quadrant

the solution of the inequality A and the inequality B is the first quadrant

Part 4) Which ordered pair is a solution of the inequality?

we have

$y\geq 4x-5$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

we're going to verify all the cases

case A) point $(3,4)$

Substitute the value of x and y in the inequality

$x=3,y=4$

$4\geq 4(3)-5$

$4\geq 7$ ------> is not true

therefore

the point $(3,4)$ is not a solution of the inequality

case B) point $(2,1)$

Substitute the value of x and y in the inequality

$x=2,y=1$

$1\geq 4(2)-5$

$1\geq 3$ ------> is not true

therefore

the point $(2,1)$ is not a solution of the inequality

case C) point $(3,0)$

Substitute the value of x and y in the inequality

$x=3,y=0$

$0\geq 4(3)-5$

$0\geq 7$ ------> is not true

therefore

the point $(3,0)$ is not a solution of the inequality

case D) point $(1,1)$

Substitute the value of x and y in the inequality

$x=1,y=1$

$1\geq 4(1)-5$

$1\geq -1$ ------> is true

therefore

the point $(1,1)$ is a solution of the inequality

Part 5) Write an inequality to match the graph

we know that

The equation of the line has a negative slope

The y-intercept is the point $(3,0)$

The x-intercept is a positive number

The solution is the shaded area above the dashed line

the equation of the line is $y=-5x+3$

The inequality is $y>-5x+3$

3 0

3 years ago

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Please help !!!!!!!!!

Dmitrij [34]

Answer:

9^2= 81, √25= 5, 21^2= 441, √4= 2, √144= 12, 16^2= 256, √625= 25, (-11)^2=121

3 0

2 years ago

If 1 inch is 500 miles, then 4 inches is how many miles?

tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

$1 inch=500 miles$

This can be rewritten as:

$\frac{500 miles}{1inch}$

This is representative of a unit rate, as we have a $1$ in the denominator. To calculate the number of miles in $4$ inches, simply multiply the unit rate by $4$ :

$\frac{500 miles}{1inch}*4=$

$\frac{2000 miles}{4 inches}$

This can rewritten as:

$4inches=2000miles$

Therefore, there are 2,000 miles in 4 inches.

We can check our solution by simplifying the fraction $\frac{2000 miles}{4 inches}$ by dividing both $2000$ and $4$ by $4$ to see if we achieve the unit rate:

$\frac{500 miles}{1 inch}$

Since this is in fact the unit rate, our solution is correct!

6 0

2 years ago

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