WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height?

Answer:

3.98 seconds

Step-by-step explanation:

The given relationship between height, in feet, and the time, in seconds, is

[tex]h(t)=-10t^2+40[/tex]

[tex]\Rightarrow t^2=\frac{40-h(t)}{10}[/tex]

[tex]\Rightarrow t= \pm\sqrt{4-0.1h(t)}\cdots(i)[/tex]

Let at time [tex]t_1[/tex], the ball was at the goalie, so, [tex]h(t_1)=0[/tex], and at the time [tex]t_2[/tex], the ball was intercepted, so, [tex]h(t_2)=11[/tex].

Now, the time to reach the player after the goalie kicks the ball

[tex]\Delta t=t_2-t_1[/tex]

By using equation (i)

[tex]\Delta t=(\pm\sqrt{4-0.1h(t_2)})-\left(\pm\sqrt{4-0.1h(t_1)}\right)\cdots(ii)[/tex]

Now, at the highest point, the slope of the graph must be zero.

So, [tex]\frac {dh(t)}{dt}=0[/tex]

[tex]\Rightarrow -20t=0[/tex]

[tex]\Rightarrow t=0[/tex]

As at the highest point, the time is zero, to before reaching the highest point ( when kikes by the goalie, [tex]t_1[/tex]) take the time with the negative sign and after the highest point (when the ball intercepted, [tex]t_2[/tex]) take the positive sign.

So, from equation (ii) become.

[tex]\Delta t=\sqrt{4-0.1\times 11}-\left(-\sqrt{4-0.1\times 0} \right)[/tex]

[tex]=\sqrt{3.9}-(-\sqrt 4)[/tex]

[tex]=1.98+2[/tex]

= 3.98 seconds

Hence, the time to reach the ball to the player after the goalie kicks the ball is 3.98 seconds.

Answer:

3

Step-by-step explanation:

no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who

Answer:

There are 4 terms.

Step-by-step explanation:

3a

3ab

7b

4d

Answer: the pattern is that the rectangles width and length get timed 2.

Step-by-step explanation: that pattern will continue until the rectangle will get bigger than the unobservant universe...

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

Answer:

The answer is 19

Step-by-step explanation:

Answer:

336 miles

Step-by-step explanation:every gallon goes 21 miles so

2gallons= 42 miles

3gallons =63 miles

16 gallons  x 21 miles

Answer:

336

Step-by-step explanation:

for every one gallon he goes 21 miles

21+21=42         2 gallons

42+42=84       4 gallons

84+84=168      8 gallons

168+168=336  16 gallons

Answer: 0/9

Step-by-step explanation: Hi there!

First, we have to put the points into the y2-y1/x2-x1 form.

Take the y value from the second point (-8) and the first point y value (-8)

and subtract.

-8 - (-8)

to get 0

Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.

7 - (-2)

to get 9

so when we put that together...

we get 0/9

So the answer is 0/9.

Hope this answer helps you!

Answer:

The endpoint of an angle  

x

lies in the 4th quadrant. Here is why.

First of all, let's recall a few definitions.

Recall the definition of a trigonometric function  

sec

(

x

)

:

sec

(

x

)

=

(by definition)  

=

1

cos

(

x

)

Recall the definition of a trigonometric function  

cot

(

x

)

:

cot

(

x

)

=

(by definition)  

=

cos

(

x

)

sin

(

x

)

Step-by-step explanation:

jhyjyujtyuyju

Answer:

D. The graph represents a reflection over the x-axis of the function y = 3sin(2x).

Step-by-step explanation:

The statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have shown a trigonometric graph in the picture.

The maximum value graph achieve is 3

The minimum value graph achieve is -3

The midline y = 0

The parent function will be f(x) = sinx

Transformed function:

y = 3sin(2x)

Thus, the statement fourth the graph represents a reflection over the x-axis of the function y = 3sin(2x) is true option (D) is correct.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Answer:

my crushes name is Adrian but the answer is $2.20

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

Given

(3x + 7)(2x - 5) = 0

Equate each factor to zero and solve for x

3x + 7 = 0 ⇒ 3x = - 7 ⇒ x = - [tex]\frac{7}{3}[/tex] → A

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex] → B

The roots of the quadratic equation are x = -7/3 and x = 5/2.

The correct option is A and B.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation in the factored form,

(3x+7) (2x-5) = 0.

So, 3x + 7 = 0 or 2x - 5 = 0

x = -7/3 and x = 5/2

Therefore, the roots are x = -7/3 and x = 5/2

To learn more about the quadratic equation;

https://brainly.com/question/17177510

#SPJ3

Answer:

x  -2, -1, 0 1 2

y-4 0 4 8 12

Step-by-step explanation:

i think...

Answer:

X   Y

1     8

2     12

3     16

4     20

5     24

Step-by-step explanation:

I'm not seeing a table so I assume you need to creat one

Answer:

its D

Step-by-step explanation:

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)

Im imposter yay

Answer:

0.1600

Step-by-step explanation:

0.16 has 2 significant figures.  To make it 4 significant figures, add two trailing zeros.

Answer:

The length of the bridge is 300 feet.

Step-by-step explanation:

Let A represent the length of one leg.

Let B represent the length of the other leg (i.e length of the bridge)

Let C represent the length of the Hypothenus.

From the question given above, the following data were obtained:

Length of Hypothenus (C) = 340 feet.

Length of one leg (A) = 160 feet.

Length of the bridge (B) =.?

The length of the bridge can be obtained by using the pythagoras theory as illustrated below:

C² = A² + B²

340² = 160² + B²

115600 = 25600 + B²

Collect like terms

115600 – 25600 = B²

90000 = B²

Take the square root of both side

B = √90000

B = 300 feet

Therefore, the length of the bridge is 300 feet

Answer:

The ordered pair is (5,-8)

Step-by-step explanation:

Here, we are interested in writing the ordered pair for x = 5

We need to get y.

We can get y by substituting into the given equation;

y = 7 - 3(5)

y = 7-15

y = -8

The ordered pair is (5,-8)

Answer:

the gardener

Step-by-step explanation:

it always is lol

Answer:

Math teacher

Step-by-step explanation:

It says he was giving the end of semester school test, and its the beginning of the school semester at Wilson Middle.

Answer:

C. 3 : 5

D. 24 : 40

Step-by-step explanation:

Select two ratios equivalent to 6 : 10

Checking all options

A. 20 : 12

20 / 12

= 10 /6

= 10 : 6

B. 32 : 50

= 32 / 50

= 16 / 25

C. 3 : 5

3 / 5

= 6 / 10

3/5 is equivalent to 6 / 10

D. 24 : 40

24 / 40 = 12 / 20

= 6 / 10

= 6 : 10

Options C and D are correct

Answer:

the anwser is c. and d.explanation:khan acadmey says so

Answer:

No

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Can i plz have brainliest :)

Answer:

0.08

Step-by-step explanation:

Because one cm to meters is 0.01 and times it by 8

=0.08

Answer:

34b+51

Step-by-step explanation:

When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...

17(2b+3)​

34b+51

Because you can't tell what x is, this is the most simplifying you can do.

Hopefully this helped you out...have an amazing day :3

Answer:

C

Step-by-step explanation:

if you draw a line between the points then draw vertical lines they dont cross more than one dot

Answer:

y = 3to6

Step-by-step explanation:

Answer:

3 ≤ y < 7

Step-by-step explanation:

≥ means greater than or equal to

≤ means less than or equal to

< means less than

> means greater than

Given y is greater than or equal to 3

y ≥ 3

y less than 7

y < 7

Joining both of them together

3 ≤ y < 7

Answer:

The inequality says p is equal to 16 and less than 16.

So from under 16 (even negative), you can give a solution.

Examples: -3; 2

Hope this helps!