a tire on a toy car has a diameter of 8 cm. if the toy car travels 12560 cm, approximately how many times does the Tire rotate

Step-by-step explanation:

let's look at the full numbers under the square roots when bringing the external factors back in :

sqrt(9×9×2) - sqrt(3×3×7) + sqrt(8) - sqrt(28)

and let's present these numbers as the product of their basic prime factors

sqrt(3×3×3×3×2) - sqrt(3×3×7) + sqrt(2×2×2) - sqrt(2×2×7)

now we see that we have 2 pairs of square roots : 1 pair ends with a factor of 2, and one pair with a factor of 7.

let's combine these

sqrt (3×3×3×3×2) + sqrt(2×2×2) - sqrt(3×3×7) - sqrt (2×2×7)

and now we move the factors of 2 and 7 back out in front (of course, we need to apply the square root on these factors) :

9×sqrt(2) + 2×sqrt(2) - 3×sqrt(7) - 2×sqrt(7) =

= (9+2)×sqrt(2) - (3+2)×sqrt(7) = 11×sqrt(2) - 5×sqrt(7)

and that is the first answer option.

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Value of a is :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Please refer to attachment for the solution ~

Answer: x+8

Step-by-step explanation:

Answer:

of(x) = (x-7)(x-5)(x - 5)(x + 2)

Step-by-step explanation:

Answer:

Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.

The graph of the equations was plotted using geogebra graphing and attached.

Let x represent the hours weightlifting and y represent the hours doing cardio exercises.

Since he spend a maximum of 20 hours, hence:

x + y ≤ 20   (1)

Also, he spends at least 8 of those hours weightlifting, hence:

x ≥ 8          (2)

He wants to spend no more than 15 hours doing cardio exercises, this is:

y ≤ 15     (3)

The graph of the equations was plotted using geogebra graphing and attached.

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Answer:

m = − 1/2

Step-by-step explanation:

Use the formula to calculate the slope of the line passing through the points.

slope = (y₂ - y₁) / (x₂ - x₁)

Input the values into the formula.

Subtract the values in parentheses.

Simplify the fraction to get the slope.

Answer: y = -1/2x +2

Answer:

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[tex]201[/tex]

Answer:

180 out of 300

Step-by-step explanation:

Basically,

300÷120=2.5

Thereof,

72×2.5=180.

Hope this helps!

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Answer:

-25÷-5= 5 The quotent is positive.

Step-by-step explanation:

positive+positive=positive

negative+negative= positive

positive+negative=negative

negative+positive=negative

Answer:

1. 4x=36

2. x+3 = 15

Step-by-step explanation:

so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00

and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps

Answer:

The answer is 350. The expression after the distributive property is 140 + 210.

Step-by-step explanation:

-35( -4 + (-6))

Distributive property is

ex.

a( b +/- c) = ab + ac

So,

-35( -4 + (-6))

= 140 + 210     (a negative times a negative is a positive ( - ) x ( - ) = ( + )

= 350

The amount of interest paid per year is $2400

What is Interest rate?

An interest rate is the percentage a lender charges on the amount of money borrowed from them.

Given that, Brendon Walsh wants to borrow the sum of $40,000 from the bank

Interest rate is 6%

Time is 5 years

Therefore, the yearly payment amount can be calculated as follows

= 40,000 × 5 × 6/100

= 40,000 × 5 × 0.06

= 12000/5

= $2,400

Hence, the yearly payment is $2,400

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Answer:

i think it is a or c

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

4x-20=3x+7

x=27

[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]

Step-by-step explanation:

Here is your answer . The logic I have shared above to solve this equation

Answer:

[tex]\frac{b}{19}[/tex]

Step-by-step explanation:

If you cross-multiply in the first proportion you get 19a = 5b

To keep this, if we have a/5, we need b/19 to cross-multiply and still get 19a = 5b

Differentiate both sides with respect to x, using the chain rule for the sine term:

[tex]\cos(x) + \sin(y) = 1[/tex]

[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for dy/dx :

[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]

Answer:

157.89

Step-by-step explanation:

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

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Answer:

Step-by-step explanation:

y = 3x - 1

whatever is in front of the x is the slope. It has to be a number of some kind. I don't think complex numbers count, but don't quote me on that.

The y intercept is the number on the right that is not associated with x. In this case it is - 1.

Answer:

X would also be 59° due to the Corresponding property.

Answer:

0, 1, and 2

This is the answer

The answer is x = 12

Step-by-step explanation:

8) 125=x+90° (exterior angle= sum of two opposite interior angle)

x= 35°

9) y=80° ( vertically opposite angle)

x= 180-50-80= 50°.

hope this helps you.