Roderick wants to draw a circle for which the numerical value of the circumference is greater than the value of the area. Which lengths could he use for the radius? Check all that apply.

Answer:

[tex](1.12 x 10^5) (6.06 x 10^5) = 6.787 x 10^{10}\\[/tex]

 [tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2} = 6.14 * 10 ^ {-3}\\[/tex]

Step-by-step explanation:

To solve this problem we must solve all 4 operations.

For the first one we have:

[tex](1.12 x 10^5) (6.06 x 10^5)[/tex]

When we have multiplication of powers of equal base (10) the same base is placed and the exponents are added

So:

[tex]1.12 * 6.06 x 10^{5+5} = 6.787 x 10^{10}\\[/tex]

Therefore the answer to this question is correct.

For the second question we have:

[tex](2 x 10^1) (3.0 x 10^1)[/tex]

Then following the same procedure as in the previous question we have:

[tex]2 * 3.0 x 10 ^ {1 + 1} = 6 x 10 ^ 2\\[/tex]

Then the answer shown in the statement is not correct, because 10 must be squared, product of the sum of its exponents (1 + 1)

For the third question we have:

[tex](2,775 x 10^{-4}) (4,775 x 10^4)\\2.775 * 4.775 x 10 ^{(- 4) +4} = 13.251 x10 ^ 0\\[/tex]

Then it is verified that the answer for this operation is no correct

[tex]13.25\neq 1.325[/tex]

Finally, for the fourth question we have:

[tex]\frac{5}{(8.14 x 10 ^ 2)}\\[/tex]

This we can write it as:

[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2}\\[/tex]

In division of powers of equal base (10 in this case) the same base is placed and the exponents are subtracted:

[tex]\frac{0.5}{8.14 x 10 ^ {1-2}} = 0.0614 x 10 ^ {-1} = 6.14 * 10 ^ {-3}\\[/tex]

Finally, the problems that show correct answers are:

[tex](1.12 x 10^5) (6.06 x 10^5) = 6.787 x 10^{10}\\[/tex]

[tex]\frac{0.5 x 10 ^ 1}{8.14 x 10 ^ 2} = 6.14 * 10 ^ {-3}\\[/tex]

Given is a Right Triangular Prism whose height is 8 feet, and whose base is a right triangle with legs 4 feet and 6 feet.

To find the volume of the prism, we must find the area of its base. Its base is in shape of right triangle. We know the formula for area of Right triangle is given as follows :-

[tex] Area = \frac{1}{2} bh \\\\
Area = \frac{1}{2} *4*6 \\\\
Area = \frac{24}{2} \\\\
Area = 12 \;\;feet^{2} [/tex]

So Prism's base area, B = 12 squared feet.

and Prism's height, H = 8 feet.

We know the formula for volume of Prism is given as follows :-

Volume of Prism = (Base Area) x (Height of Prism)

Volume = B x H

Volume = 12 feet² x 8 feet

Volume = 96 feet³

Hence, option C is correct i.e. 96 cubic feet.

Answer:

This is true!

Step-by-step explanation:

P.S: keep in mind that the opposite is not true! If f is continuous at x = c, then f is NOT differentiable at x = c.

:)))

If f is differentiable at x = c, then f is continuous at x = c is not true.

Any point inside the range of a function's purview has a derivative, making it a computable function of one real variable. In these other phrases, each interior site in the domain of an invertible method's graph does indeed have a non-vertical line segment.

F is NOT differentiable at x = c if it is continuous at x = c.

When working with units, this quality is highly helpful since, if a curve is discrete, we automatically infer that it is indeed continuous.

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Answer:   Its B for short

First we get 30% ounces of peanuts in mixed nuts:

(0.3) * (32) = 9.6

To find the percentage of peanut concentration of the final mix if you add x ounces of peanuts:

% of peanuts = ((x + 9.6) / (x + 32)) * (100)

Answer:

An expression can be used is:

% of peanuts = ((x + 9.6) / (x + 32)) * (100)

Step-by-step explanation:

yea

Final answer:

To make 3000 pounds of raisins, you would need 12000 pounds of grapes, as it takes 4 pounds of grapes to make 1 pound of raisins.

Explanation:

The question asks us to find out how many pounds of grapes are needed to make 3000 pounds of raisins.

Given that it takes 4 pounds of grapes to make 1 pound of raisins, we can set up a proportion to solve for the total weight of grapes needed. The proportion will be:

4 pounds of grapes / 1 pound of raisins = x pounds of grapes / 3000 pounds of raisins

Multiplying both sides of the proportion by 3000 pounds of raisins gives us:

4 pounds of grapes x 3000 pounds of raisins = x pounds of grapes x 1 pound of raisins

So,

x = 4 x 3000

x = 12000 pounds of grapes.

Therefore, you would need 12000 pounds of grapes to make 3000 pounds of raisins.

15^2 + 25^2 = X62

225 + 625 = x^2

850 = x^2

x = 5sqrt(34)

 if you need it as a decimal = 29.1547

Answer:  The length of the hypotenuse is  5√34 units.

Step-by-step explanation:  Given that a right-angled triangle has legs of length 15 ft and 25 ft.

We are to find the length of the hypotenuse.

As shown in the attached figure, AB and BC are the legs of the right-angled triangle ABC. AC is the hypotenuse of the triangle.

Also, AB = 15 ft  and  BC = 25 ft.

From Pythagoras theorem, we have

[tex]AC^2=AB^2+BC^2\\\\\Rightarrow AC^2=(15)^2+(25)^2\\\\\Rightarrow AC^2=225+625\\\\\Rightarrow AC^2=850\\\\\Rightarrow AC=\sqrt{850}\\\\\Rightarrow AC=5\sqrt{34}.[/tex]

Thus, the length of the hypotenuse is 5√34 units.

Answer:

I did the quiz

Step-by-step explanation:

The correct statement is,

⇒ Terrell ran 3,000 meters more than Victor.

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

Victor ran 3 kilometers.

And, Terrell ran 4,000 meters.

Now,

We know that;

1 kilometer = 1000 meters

Hence, We get;

Victor ran = 3 kilometers

                 = 3 x 1000

                 = 3000 meters

Thus, Difference of distance are,

= 4000 - 3000

= 1000 meters

Therefore, The correct statement is,

⇒ Terrell ran 3,000 meters more than Victor.

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I think your answer is A

Answer:

[tex]f(-1)>g(-1)[/tex]

Step-by-step explanation:

we are given

[tex]f(x)=-x^2+1[/tex]

We can plug x=-1 and find f(x)

we get

[tex]f(-1)=-(-1)^2+1[/tex]

[tex]f(-1)=-1+1[/tex]

[tex]f(-1)=0[/tex]

now, we can find g(-1)

we can look at the table and find g(-1)

so, we get

[tex]g(-1)=-4[/tex]

we know that

-4 is less than 0

so,

[tex]g(-1)<f(-1)[/tex]

or we get

[tex]f(-1)>g(-1)[/tex]

Answer: 575-d

Step-by-step explanation:

Answer: 16 signs

Step-by-step explanation: i not saying this cause the other person said it i am saying it because i tookthe question

Answer:

he means 5 2/3

Step-by-step explanation:

Answer: Fourth option is correct.

Step-by-step explanation:

Since we have given that

Distance traveled by Brian = [tex]4\frac{1}{4}\ miles=\frac{17}{4}\ miles[/tex]

Time taken by him = [tex]\frac{3}{4}[/tex] of an hour

So, Speed at which Brian is running fast is given by

[tex]Speed=\dfrac{Distance}{Time}\\\\\\Speed=\dfrac{\dfrac{17}{4}}{\dfrac{3}{4}}\\\\\\Speed=\dfrac{17}{3}\\\\\\Speed=5\dfrac{2}{3}\ mph[/tex]

Hence, Brian was running fast at [tex]5\dfrac{2}{3}\ mph[/tex]

Therefore, Fourth option is correct.

Consider cases where the number of withholding allowances is less than 6.

The amount of federal income tax withheld will increase if the

1. Gross pay increases and withholding allowances remains the same or

2. Gross pay remains the same and withholding allowances decreases

Option B is correct. The amount of federal income tax withheld will increase when Gross pay increases by more than $20 and withholding allowances stay the same

Hope this helps..!!

Thank you :)

Federal income tax, when withholding allowances is less than 6, the Gross pay increases by more than $20 and withholding allowances stay the same.

Federal income tax is the tax which is used to develop and run the city or country and charged on the citizen resides their.

The value of  federal income tax changes with change in withholding allowances and gross pay as-

Given information-

The number of withholding allowances is less than 6.

As the number of withholding allowances is less than 6. Thus the withholding allowances is fixed here.

Now the value of federal income tax increases gross pay increases as discussed in first property above.

Hence, Gross pay increases by more than $20 and withholding allowances stay the same. Thus the option B is the correct option.

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The problem describes a case of exponential decay. The car's value decreases by 20% each year, so after 5 years of depreciation, the value of the car can be calculated by repeatedly applying this 20% reduction each year. The car will be worth approximately $8,437.76 after 5 years of depreciation.

The problem is a very typical example of exponential decay. The car depreciates in value by 20% each year. This means that after each year, the car is worth 80% (or 0.8) of its value from the previous year. After five years, we can calculate how much the car is worth by simply applying these percentages to the car's initial cost.

To calculate the value of the car after 5 years, you multiply the initial cost of the car by 0.8 (representing the 80% remaining value after depreciation) five times:

So after 5 years, the car will be worth approximately $8,437.76.

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[tex]\sum^5_{j=1} (5j-12)[/tex] represents the series in sigma notation.

The symbol Σ (sigma) is generally used to denote a sum of multiple terms. This symbol is generally accompanied by an index that varies to encompass all terms that must be considered in the sum.

Given is a series (-7 + (-2) + 3 + 8 + 13), we need to define it in sigma notation,

Therefore,

For j = 1 up to j = 5

j = 1

(5j - 12) = (5(1) - 12) = 5 - 12 = - 7

j = 2

(5j - 12) = (5(2) - 12) = 10 - 12 = - 2

j = 3

(5j - 12) = (5(3) - 12) = 15 - 12 = 3

j = 4

(5j - 12) = (5(4) - 12) = 20 - 12 = 8

j = 5

(5j - 12) = (5(5) - 12) = 25 - 12 = 13

This gives us the given series,

(-7 + (-2) + 3 + 8 + 13)

Hence, [tex]\sum^5_{j=1} (5j-12)[/tex] represents the series in sigma notation.

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