you are working with a 30-60-90 right triangle. its longer leg measures 6. What is the length of the hypotenuse

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

Answer:

D: 6

Step-by-step explanation:

I got it right on the test Edge nuity

Answer:

B= -3

Step-by-step explanation:

Move the terms that do not contain b to the right then solve. Hope this helps!

Answer:

[tex]\large \boxed{{b=-3}}[/tex]

Step-by-step explanation:

[tex]-11b +7=40[/tex]

Subtract 7 from both sides.

[tex]-11b +7-7=40-7[/tex]

[tex]-11b=33[/tex]

Divide both sides by -11.

[tex]\displaystyle \frac{-11b}{-11} =\frac{33}{-11}[/tex]

[tex]b=-3[/tex]

Answer:

see explanation (please confirm if I read you problem correctly)

Step-by-step explanation:

150 kilometers

60 kph

tank is 20 liters

6 km/l

150/6 = 25 liters needed

$60/l

you will need to get 5 more liters of fuel

total cost 25 x .60 =  $15

Answer:

AHHHHH I think its two hours

Step-by-step explanation:

she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours

Answer:

y = -x -2

Step-by-step explanation:

The graph has a slope of -1 and a y-intercept of -2.

The equation is therefore

y = -x -2

Answer:

5

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  − 1  and  0  is 1

1 |-5|

Multiply  | − 5 |  by 1

The absolute value is the distance between a number and zero. The distance between  − 5  and  0 is  5

Hope this can help

Answer:

19958.1

step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

      ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                     PEACE!

Answer: unbiased; simple random sampling

Step-by-step explanation:

From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.

This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.

Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.

Answer:

[tex]\boxed{3^3 * 2 * 5}[/tex]

Step-by-step explanation:

Look at the image below ↓

Answer:

16 factors of 270

Step-by-step explanation:

1*270

2*135

3*90

5*54

6*45

9*30

10*27

15*18

Answer:

Rock CD's=21

Country CD's=12

Soundtrack CD's=3

Step-by-step explanation:

let

r= rock CD's

c = country CD's

s = soundtrack CD's

Total CD's=r + c + s =39

2c=r

c/4=s

2c+c+c/4=39

8c+4c+c=156

13c=156

c=12

Substitute c=12 into 2c=r

2c=r

3(12)=r

24=r

r=24

Substitute c=12 into c/4=s

c/4=s

12/4=s

3=s

s=3

Therefore, she has

c=12

s=3

r=24

before she borrowed you 3 rock CD's

Sha has

r=21

s=3

c=12

after you borrowed 3 rock CD's

Answer:

The maximum number of people that can be in the Trumpington marching band is 940 people

Step-by-step explanation:

The number of members = 20·n

The number per row = 26

The number left = 4

Therefore, we have;

If there are x rows of 26, we have;

26 × x = 20·n - 4

We have;

26 × x < 996

26 × x < 20·n

20·n < 996 therefore, 20·n ≤ 980

We check that 980/26 = 37  and some fractions

26 × 37 = 962 which will leave a remainder of 2

Therefore, we note that for 26 to have a remainder of 4, the last digit of the factor x must be 6 so has to get the last digit of the product 26 × x to be 6 while the digit of the product 20×n  is 0 which will live 4 members out to get to the next 10 as follows;

26 × 36 = 936 while 20 × 47 = 940

We get 940 - 936 = 4 members

Therefore, the maximum number of people that can be in the Trumpington marching band = 940.

Answer:

The correct Option is Option A

Step-by-step explanation:

Answer:

a^2 × a^4

= a^2+4

= a^6

Remember:

a^n × a^m= a^n+m

Hope it helps

if u have any question let me know in comments ^_^

Answer:

[tex]a^2 * a^4 = \\a^{(2 + 4)} = \\a^6[/tex]

Step-by-step explanation:

Hope it helps!

Answer:

589 yards

Step-by-step explanation:

This is a question that requires the use of trigonometric functions.

The trigonometric function to be used here is the tangent function.

tan θ = Opposite side/ Adjacent side

In the question, we are told

Your friend walks 245 yards due west from your position = Opposite side

Your friend's takes a bearing on the cabin of N 22.6° = θ

Your distance from the cabin = Adjacent side

Hence,

tan 22.6 ° = 245/ Adjacent side

Cross Multiply

Adjacent side = 245/ tan 22.6°

Adjacent side = 588.57469726 yards.

Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards

Answer:

f(8) = 6

Step-by-step explanation:

Plug in 8 as x in the function:

f(x) = 2(x − 5)

f(8) = 2(8 - 5)

f(8) = 2(3)

f(8) = 6

Answer:

[tex]\large \boxed{\mathrm{6}}[/tex]

Step-by-step explanation:

[tex]f(x)=2(x-5)[/tex]

Replace x with 8 to find f(8).

[tex]f(8)=2(8-5)[/tex]

Evaluate.

[tex]f(8)=2(3)[/tex]

[tex]f(8)=6[/tex]

Answer:

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse.

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

[tex]16^2+63^2=65^2[/tex]

Evaluate each exponent.

16^2=16*16=256

[tex]256+63^3=65^2[/tex]

63^2=63*63=3969

[tex]256+3969=65^2[/tex]

65^2=65*65=4225

[tex]256+3969= 4225[/tex]

Add 256 and 3969

[tex]4225=4225[/tex]

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

Hi there! Hopefully this helps!

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First we need to substitute the value of the variable into the expression and simplify.

b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).

Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1 - (1 + -6 × 4(2) ÷ 4)

|

|  First, we cancel out 4 and 4.

\/

1 - (1 - 6 × 2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Next, we multiply -6 and 2 to get -12.

1 - (1 - 12)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Then we subtract 12 from 1 to get -11.

1 - (-11)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The opposite of -11 is 11.

1 + 11.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Answer:

Answer: 12

Hope this helps

Answer:  see proof below

Step-by-step explanation:

The standard equation of a circle is (x - h)² + (y - k)² = r² where (h. k) is the center of the circle and r is the radius.  It is given that A (h, k) = (1, 3) and point B (x, y) = (-2,4) is on the circle.  Substitute the center (h, k) and point B(x, y) = (-2,4) into the standard equation of a circle to get r² = 10.  To prove that C(x, y) = (4, 2) is also a point on the circle, substitute the center (h, k) and the point C(x, y) = (4, 2) into the standard equation of a circle to get r² = 10.  Since the radius is the same for both point B and point C and it is given that point B is on the circle, then we must conclude that point C is also on the circle.

Answer:

I am given that the center of a circle is at A(1, 3) and that point B(-2, 4) lies on the circle. Applying the distance formula to A and B, I get the following:

AB=Square Root ( (-2 - 1 )^2 + (4 - 3 )^2 ) = Square root ( 9 + 1 )

AB = Square root (10)

Since B lies on the circle, this length is the length of the radius of the circle. Applying the distance formula to A and C(4, 2), I get the following:

AC = Square Root ( ( 4 - 1 )^2 + (2 - 3 )^2 ) = Square root ( 9 + 1 )

AC = Square root (10)

Thus, the distance to C from the center A is equal to the length of the radius of the circle. Any point whose distance from the center is equal to the length of the radius lies on the circle. Therefore, point C lies on the circle.

Step-by-step explanation:

Greetings from Brasil...

Here is the problem:

[(15X - 8)/3] + [(9X - 3)/2]

Let's multiply everything by 6

[6.(15X - 8)/3] + [6.(9X - 3)/2]

[2.(15X - 8)] + [3.(9X - 3)]

30X - 16 + 27X - 9

Answer:

a +d = a2

Step-by-step explanation:

-2 - (-9) =

-2+9=7

a + d = a2

[tex](x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15[/tex]

Answer:

Step-by-step explanation:

Use FOIL method

(x + 3)(x - 5) = x*x  + x *(-5)  + 3*x +  3*(-5)

                    = x² - 5x  +3x - 15  {add like terms}

                    = x² - 2x -15

Answer:

Sales tax on selling price:  $2232.50(0.03) = $66.98

Step-by-step explanation:

List price:  $2350

5% discount:  0.05($2350) = $117.50

Sale (selling) price:  List price less discount:  $2350 - $117.50 = $2232.50

Sales tax on selling price:  $2232.50(0.03) = $66.98

Answer:

A

Step-by-step explanation:

A dotted line means its either greater than or less than. A undotted line means its also equal to the number aswell.

To find the right answer all you need is the first part because y has to be greater than or equal to 2 as shown from the graph. So the answer has to be A. As it is the only one that shows this.

Answer:

1/49

Step-by-step explanation:

If you add this is the calculator, I think it will come out.

━━━━━━━☆☆━━━━━━━

▹ Answer

1/49

▹ Step-by-Step Explanation

7^-5/6 * 7^-7/6

= 1/7²

= 1/49

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

[tex]8(9)+18[/tex]

$=8\cdot9+2\cdot9$

$=(8+2)\cdot9$

Answer:

Each slice of pizza cost:

$1.63

Step-by-step explanation:

4.89/3 = 1.63

Answer:

$1.63

Step-by-step explanation:

We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.

cost / slices

It costs $4.89 for 3 slices.

$4.89 / 3 slices

Divide 4.89 by 3 (4.89/3=1.63)

$1.63 / slice

The cost of each slice of pizza is $1.63

We simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.

To simplify the given expression, -2(8 - 1), we can start by evaluating the expression inside the parentheses,

8 - 1 = 7

Now, we substitute this value back into the original expression:

-2(7)

Multiplying -2 by 7, we get:

-2 * 7 = -14

Therefore, -2(8 - 1) simplifies to -14.

In this case, we simplified the expression inside the parentheses first and then applied the multiplication operation. It's important to remember that when there is a negative sign in front of parentheses, it distributes to each term inside the parentheses. So, -2 multiplied by 8 gives -16, and -2 multiplied by -1 gives +2. The sum of -16 and +2 is -14.

In summary, when we evaluate the expression -2(8 - 1), the result is -14. This means that if we follow the order of operations (parentheses first, then multiplication), we simplify the expression by subtracting 1 from 8, resulting in 7. We then multiply 7 by -2 to obtain the final answer of -14.

For more such questions on expression

https://brainly.com/question/29070527

#SPJ8

Answer:

{ 11, -4, -29}

Step-by-step explanation:

5(-2) + y = 1

-10 + y = 1

y = 11

5(1) + y = 1

y = -4

5(6) + y = 1

30 + y = 1

y = -29

Answer:

The Range is the set: { -29, -4, 11 }

Step-by-step explanation:

You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:

y = 1 - 5 x

Now let's find what values they result when x = -2, 1, and 6:

y = 1 - 5 (-2) = 1 + 10 = 11

y = 1 - 5 (1) = 1 - 5 = -4

y = 1 - 5 (6) = 1 - 30 = -29

Therefore the Range is the set: { -29, -4, 11 }

Answer:

mark a dot 2 on the y axis and from there go up one right 3 until you can anymore then go back to the two and go down one left 2

Step-by-step explanation:

Answer: the answer is P

Step-by-step explanation: