Answer:

**Answer:**

5676039

**Step-by-step explanation:**

-14² + 5675843

Solve for exponent.

196 + 56758

Add the numbers.

= 5676039

Toy company produces rubber balls that have a radius of 1.7 cm.A sphere has a radius of 1.7 centimeters.What is the volume of one rubber ball? Round to the nearest hundredth of a centimeter.

What's the measure of the complement of a 19 degree angle

Carol drew an isosceles triangle that has an angle that measures 62°. Which could be the measures of the other two angles in Carol’s triangle?A. 62° and 62°B. 56° and 56°C. 28° and 90°D. 56° and 62°

Help ASAP Add these expressions(3x+15) + (4x+13)

How do I find the lateral surface area

What's the measure of the complement of a 19 degree angle

Carol drew an isosceles triangle that has an angle that measures 62°. Which could be the measures of the other two angles in Carol’s triangle?A. 62° and 62°B. 56° and 56°C. 28° and 90°D. 56° and 62°

Help ASAP Add these expressions(3x+15) + (4x+13)

How do I find the lateral surface area

Using **fractions**, 0.45 can be written as + *. *Using decimals, 0.45 can be written in the form as 0.30 + 0.15.

Decimal number system is applicable for both **integers **as well as non integers. Decimal number include a **whole **number part and a decimal part separated using **decimal point**.

Fractions are the **numbers **which are part of a whole.

All decimal numbers can be written as fractions and fractions can be written in the form of decimal numbers.

The given number is 0.45.

0.45 can be written as .

can be **expanded **in various ways like (40 + 5)/100, (42 + 3)/100 and so on.

can be written in one of the form as + .

When simplified, **simplified **to and simplified to .

So 0.45 = + *.*

Now, in the decimal form, = 0.3 and = 0.15

So, 0.45 = 0.3 + 0.15

Hence 0.45 can be expanded in the fractional form as + and in the decimal form as 0.3 + 0.15.

To learn more about **Decimals**, click :

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**Answer:**

0.4 + 0.05= 0.45

FRACTION FORM:

4/10+ 5/100= 0.45

**Step-by-step explanation:**

Hope this helps!! Tell me if I'm wrong! :)

Answer:

The area is 91 cm²

Step-by-step explanation:

The shape is a kite.

area of a kite = ½(p*q)

Where, p and q are the diagonals of the kite.

p = 13 cm

q = 7 + 7 = 14 cm

The area of the kite = ½(13 * 14)

= ½(182)

Area = 91 cm²

**Answer:**

The pythagoras's theorem is the relation between the sides of a right-angles triangle, it shows that the square of the hypotenuse of the triangle will be equal to the sum of squares of the remaining sides

**hypotenuse² = perpendicular² + base²**

replacing the variables with the sides of the given triangle:

**x² = 15² + 8²**

x² = 225 + 64

x² = 289

x = √289

**x = 17 mi**

Answer:

y = C₂ e²ᵗ + e⁻ᵗ [C₁ - (5t/3)]

Step-by-step explanation:

y" - y' - 2y = 5e⁻ᵗ

The total solution of this differential equation will be a sum of its complimentary and particular solutions.

y = y꜀ + yₚ

The complimentary or homogenous solution is a solution of

y" - y' - 2y = 0

y꜀ = Ay₁ + By₂

Solving this part in the attached image, we obtain

y₁ = e⁻ᵗ and y₂ = e²ᵗ

The particular solution can be obtained using the method of variation of parameters and the method of undetermined coefficients.

The method of variation of parameters is used and explained in the page 1, 2 and page 3 of the attached images.

The method of undetermined coefficients is then used to check if the solution obtained is correct.

With y = C₂ e²ᵗ + e⁻ᵗ [C₁ - (5t/3)],

y' and y'' were obtained and put in the equation, and the answer obtained was 5e⁻ᵗ.

So, Proved!

y = C₂ e²ᵗ + e⁻ᵗ [C₁ - (5t/3)]

Hope this helps!!!

square root of 61 is it rational or irrational ?

square root of 62 is it rational or irrational ?

square root of 101 is it rational or irrational ?

square root of 105 is it rational or irrational ?

Each square root of a number that does not generated as a square of an integer is irrational. This means that none of the given numbers is rational, that is, they are all irrational.

Good luck!!!!

Good luck!!!!

Answer:

a. 0.04

b. 0.9772

Step-by-step explanation:

Please check attachment for complete solution and step by step explanation

The standard error of the proportion is 0.04. The probability of having at least 12 business students in a sample of 100 can be found by using the binomial distribution formula, though precise calculation would require the use of statistical software.

In a large university, 20% of students are business majors. The question is asking about the **standard error** and the probability of having at least 12 business students in a random sample of 100 students.

a) The standard error (SE) of the proportion is calculated as the square root of [p(1-p)/n], where 'p' is the proportion of business majors (0.2 in this case)and 'n' is the sample size (100 in this case). So, the SE = sqrt[(0.2)(0.8)/100] = sqrt[0.0016] = 0.04.

b) In order to calculate the **probability** that there are at least 12 **business students**, we would use the binomial distribution. Using the binomial distribution formula P(X >= x) = 1 - P(X < x), where 'X' is a random variable representing the number of business majors, and 'x' is 12. Since the calculation is tedious, one would use statistical software or a calculator to find this probability. Typically, the result would be greater than 0.

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