admin

2 months ago

Guest #3772

2 months ago

**Answer:**

** Time taken to reach the ball to the ground is 21 seconds.**

**Step-by-step explanation:**

**Given : **A ball is launched into the sky at 272 feet per second from the roof of a skyscraper 1,344 feet tall. The equation for the ball’s height h at time t seconds is .

**To find :** When will the ball strike the ground?

**Solution : **

**The equation for the ball's height 'h' at time 't' is given by,**

**When the ball strike the ground the height of the ball became zero.**

**Substitute h=0 in the given equation,**

**Taking 16 common,**

**or **

**Solve by middle term split,**

**Reject t=-4 as time can never be negative.**

**Therefore, Time taken to reach the ball to the ground is 21 seconds.**

Guest #3773

2 months ago

The answer is -16(t+4)(t-21)

Question

American cheese 0.45 to 4.26 what is the percent increase

Solution 1

For this case we have the following rule of three:

0.45 ------> 100%

4.26 ------> x

Clearing x we have:

x = (4.26 / 0.45) * (100)

x = 946.6666667%

Thus, the percentage of growth is:

946.6666667 - 100 = 846.6666667

Rounding:

846.7%

**Answer:**

**the percent increase is:**

**846.7%**

0.45 ------> 100%

4.26 ------> x

Clearing x we have:

x = (4.26 / 0.45) * (100)

x = 946.6666667%

Thus, the percentage of growth is:

946.6666667 - 100 = 846.6666667

Rounding:

846.7%

Question

The average score on a standardized test is 750 points with a standard deviation of 50 points. What is the probability that a student scored more than 850 on the standardized test ?

Solution 1

The probability that student scored more than 850 we shall proceed as follows:

z=(x-μ)/σ

where:

x=850

μ=750

σ=50

thus

z=(850-750)/50

z=2

thus

P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228

Answer: P(x>850)=0.0228

z=(x-μ)/σ

where:

x=850

μ=750

σ=50

thus

z=(850-750)/50

z=2

thus

P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228

Answer: P(x>850)=0.0228

Solution 2

**Answer:**

2%

**Step-by-step explanation:**

Question

Which of the following terms correctly describes 4:1?

Solution 1

Ratio? i don't know if thats exactly what it's asking but it's a ratio

Solution 2

**Answer:**

The answer is Ratio

**Step-by-step explanation:**

Question

WHAT IS 1/3 OF 97.50

Solution 1

The answer is 32.5. You can also do 97.5 * 0.333 = 32.46 (rounded up is 32.5).

Solution 2

Ans: 32.5 because you multiply it both together.....i really dont know i used the calculator XD sorry

Question

ella wants to use the Communicative property of multiplication to help find the product 5×4. What number sentence can she use?

Solution 1

Five times four equals four times five

Question

A rectangle has a width of 8 centimeters and an area of 160 square centimeters a similar rectangle has an area of 250 square centimeters. What are the dimensions of the larger rectangle?

Solution 1

I'm a bit confused and there is not a lot of information given to this.

From what I know, the dimensions of the larger rectangle can be found from length x width = 250 square centimetres.

Any multiplication problem that equals 250 could work out for length x width.

From what I know, the dimensions of the larger rectangle can be found from length x width = 250 square centimetres.

Any multiplication problem that equals 250 could work out for length x width.

Question

Which point best approximates the root of 45

Solution 1

To solve for √45 we shall proceed as follows:

We rewrite 45 as 3²×5

thus

√45=√(3²×5)

pulling terms out from under the radical we obtain

3√5

thus the exact answer form is:

3√5

or the decimal form is:

6.70820393

We rewrite 45 as 3²×5

thus

√45=√(3²×5)

pulling terms out from under the radical we obtain

3√5

thus the exact answer form is:

3√5

or the decimal form is:

6.70820393

Question

What is the maximum for
f(x)= 625-16x^2

Solution 1

The maximum is x=3.42

Question

Ming Ling Ching has 4 apples to the power of 12. How many apples does he/she have?

Solution 1

To find the amount of apples she has you must multiply 4x4x4x4x4x4x4x4x4x4x4x4

Question

Credit card A offers an APR of 27.29%, compounded monthly, while credit card B offers an APR of 27.12%, compounded daily. All else being equal, which card offers the better deal for the consumer?

Solution 1

The **effective **interest rate, also known as the **effective annual **interest rate, annual **equivalent **rate, or simply effective rate. The **card **which **offers **a **better deal **to the **customer **is **Credit card A.**

The **effective **interest rate, also known as the **effective annual **interest rate, annual **equivalent **rate, or simply effective rate, is the **interest **rate on a loan or **financial product **that is **restated **from the nominal interest rate and expressed as the **equivalent interest **rate if **compound **interest was **payable annually **in arrears. It is calculated by the formula,

EIR = [1+(i/n)]ⁿ - 1

The **effective **rate of **interest **on Credit **Card A** is,

Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2729/12)]¹² - 1 = 30.97%

The **effective **rate of **interest **on Credit **Card B **is,

Effective rate = [1+(i/n)]ⁿ - 1 = [1+(0.2712/365)]³⁶⁵ - 1 = 31.14%

Since the **effective rate **of Credit card A is less than credit card B, therefore, the **card **which **offers **a **better deal **to the **customer **is **Credit card A.**

Learn more about **Effective Interest Rates:**

#SPJ2

Solution 2

Credit card A, because it's effective interest rate is about o.16% less than that of credit card B.

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