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2 months ago

Guest #3531

2 months ago

Well, create an equation.

y=6x+4 and y=5x+8

From there you would go to Desmos.com and find out. The answer is 4,28.

This means it's the fourth term and the number is 28.

y=6x+4 and y=5x+8

From there you would go to Desmos.com and find out. The answer is 4,28.

This means it's the fourth term and the number is 28.

Question

A catapult launches a boulder with an upward velocity of 184 ft/s. The height of the boulder (h) in feet after t seconds is given by the function h= -16t^2 + 184t + 20. How long does it take the boulder to reach its maximum height? What is the boulder's maximum hieght

Solution 1

For this case we have the following equation:

h = -16t ^ 2 + 184t + 20

Deriving we have:

h '= -32t + 184

We equal zero and clear t:

-32t + 184 = 0

32t = 184

t = 184/32

t = 5.75 s

Then, the maximum height is given by:

h (5.75) = -16 * (5.75) ^ 2 + 184 * (5.75) + 20

h (5.75) = 549 feet

**Answer:**

**It takes the boulder to reach its maximum height about:**

**t = 5.75 s**

**the boulder's maximum hieght is:**

**h (5.75) = 549 feet**

h = -16t ^ 2 + 184t + 20

Deriving we have:

h '= -32t + 184

We equal zero and clear t:

-32t + 184 = 0

32t = 184

t = 184/32

t = 5.75 s

Then, the maximum height is given by:

h (5.75) = -16 * (5.75) ^ 2 + 184 * (5.75) + 20

h (5.75) = 549 feet

Solution 2

**Answer:**

**The answer should be C.**

Question

A ball is thrown into the air with an upward velocity of 32 ft/s. Its height (h) in feet after t seconds is given by the function h= -16t^2 + 32t + 6. How long does it take the ball to reach its maximum height? What is the ball’s maximum height? Roun

Solution 1

For this case we have the following equation:

h = -16t ^ 2 + 32t + 6

Deriving we have:

h '= -32t + 32

We equal zero and clear t:

-32t + 32 = 0

32t = 32

t = 32/32

t = 1 s

Then, the maximum height is given by:

h (1) = -16 * (1) ^ 2 + 32 * (1) + 6

h (1) = 22 feet

**Answer:**

**It takes the ball to reach its maximum height about:**

**t = 1 s**

**The ball's maximum height is:**

**h (1) = 22 feet**

h = -16t ^ 2 + 32t + 6

Deriving we have:

h '= -32t + 32

We equal zero and clear t:

-32t + 32 = 0

32t = 32

t = 32/32

t = 1 s

Then, the maximum height is given by:

h (1) = -16 * (1) ^ 2 + 32 * (1) + 6

h (1) = 22 feet

Question

Grant is rolling a standard six sided number die eight times. how many outcomes are possible

Solution 1

We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.

Grant is rolling six sided number die. Hence, we can say that

Number of outcomes if rolled once = 6

Number of outcomes if rolled twice =

Number of outcomes if rolled thrice=

We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.

Hence, if rolled 8 times then we have an exponent 8 on 6.

Therefore, the possible number of outcomes should be

**Hence, the number of possible outcomes is 1679616**

Solution 2

There are 1679616 possible outcomes.

There are 6 possible outcomes for each roll; 6^8 = 1679616

There are 6 possible outcomes for each roll; 6^8 = 1679616

Question

Debate this math question 3-3x6+2

Solution 1

For this question BODMAS should be used

BODMAS = Bracket Of Division Multiplication Addition Subtraction

SO, in 3-3x6+2. multiplication should be done first

= 3-18+2 Next addition should be done

= 3-16 And now subtraction

= -13

**Answer = -13**

BODMAS = Bracket Of Division Multiplication Addition Subtraction

SO, in 3-3x6+2. multiplication should be done first

= 3-18+2 Next addition should be done

= 3-16 And now subtraction

= -13

Solution 2

The answer for 3-3x6+2 is 17. For this you need to use PEMDAS (Please Excuse My Dear Aunt Sally) to solve the problem. First, M stands for multiplication so you do 3x6 which is 18. Then, A is addition so add 2 to 18 which is 20. Lastly, S stands for subtraction so you subtract 3 from 20 and you get your answer, 17.

Question

Anyone know the answer to this simple little equation? It's giving me a bit of a tough time.. 3x^2 (4x-7)

Solution 1

12x2−13x−14 look it up on google to show you the graph

Solution 2

3x^2 (4x-7) = 12x^3 - 21x^2

Question

Given that a:12=4:10 find the value of a.

Solution 1

A:12=4:10

The extremes are a and 10

The middles are 12 and 4

We know that PRODUCT OF MIDDLE = PRODUCT OF EXTREMES

a*10=12*4

a = 48/10

a = 4.8

Therefore,**the value of a = 4.8**

The extremes are a and 10

The middles are 12 and 4

We know that PRODUCT OF MIDDLE = PRODUCT OF EXTREMES

a*10=12*4

a = 48/10

a = 4.8

Therefore,

Solution 2

A/12= 4/10

Cross multiply: 12*4= a*10

⇒ a= 12*4/10= 4.8

**Final answer: a= 4.8**

Cross multiply: 12*4= a*10

⇒ a= 12*4/10= 4.8

Question

True, false, or open. Explain. 45/x-14=22

Solution 1

45/x - 14 = 22

add 14 to both sides

45/x -14 +14 = 22 +14

45/x = 36

36 x = 45

x = 45/36 = 5/4 = 1.25

add 14 to both sides

45/x -14 +14 = 22 +14

45/x = 36

36 x = 45

x = 45/36 = 5/4 = 1.25

Question

What are the domain and range of f(x) = 2(3x)?

Solution 1

Its going to be all real numbers

or (- inf , inf)

or (- inf , inf)

Solution 2

**Answer:**

A) domain (-infinity, infinity); range (0, infinity)

**Step-by-step explanation:**

Domain is reading the x-axis left or right

Range is reading the y-axis up or down

Hope this helps!

Question

Simplify the following expression.

Solution 1

The first step for solving this expression is to express with a positive exponent using .

4 × × b

Now calculate the product.

Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:

Let me know if you have any further questions.

:)

4 × × b

Now calculate the product.

Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:

Let me know if you have any further questions.

:)

Solution 2

**Answer: C**

**Step-by-step explanation:**

The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.

On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.

Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?

a. Lisa walked about 400 yards farther than Deanna.

b. Lisa walked the same distance as Deanna.

c. Lisa walked about 400 yards less than Deanna.

d. Lisa walked about 400 yards.

Question

Circle J has center J (4,-3) and radius 5 What is the measure, in degrees, of the arc with endpoints A (9,-3) and B (4,2)? Explain the process you used (in words) and include the work you did to find this answer.

Solution 1

This would be a 90° arc.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).

The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by

m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by

m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

To find this, we can find the measure of the central angle that intercepts the arc.

The endpoints of the arc are at (9, -3) and (4, 2).

The slope of the line that passes through the endpoint (9, -3) and the center (4, -3) is given by

m=(-3--3)/(9-4) = 0/5 = 0.

Since the slope is 0, this tells us it is a horizontal line.

The line that passes through the endpoint (4, 2) and the center (4, -3) has a slope that is undefined; it is a vertical line at x=4. Numerically the slope is given by

m=(2--3)/(4-4) = 5/0, which is undefined.

These slopes are negative reciprocals of one another; 5/0 and 0/5 (0 has no sign). This means that these two lines would form a right angle, so the central angle of the circle is a right angle.

The intercepted arc has a measure equal to that of the central angle, so the arc is also 90°.

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