Laura collects nickels and dimes she has a total of 47 nickels and dimes she calculated the value of the coins and found out she has $4.05 how many nickels and dimes does laura

Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

Answer:

A.) y=x-2

Step-by-step explanation:

Each value in the "x" section is 2 numbers less than its corresponding number in the "y" section.

Answer:

[tex]A_n = 7(-6)^{n-1}[/tex]

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

[tex]a_n = a_1(r)^{n-1}[/tex]

--> r means the constant (or common ratio) that is being multiplied.

--> [tex]a_1[/tex] means the first term

--> [tex]a_n[/tex] means the "nth" numbered term (so [tex]a_3[/tex] is the 3rd term, [tex]a_{10}[/tex] is the 10th term and so on).

--> [tex]n-1[/tex] is just the "n" in [tex]a_n[/tex] minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> [tex]r = -6[/tex] (Since we got -6 as the constant/common ratio).

--> [tex]a_1 = 7[/tex] (Since 7 is the 1st term)

This means that our formula would be --> [tex]A_n = 7(-6)^{n-1}[/tex]

Hope you understood and have a nice day!! :D

Answer:

Triangle 1 -    [tex]\sqrt{29[/tex] (if they want simplest radical form) or 5.4 (if they want to the nearest tenth)

Triangle 2-    i couldnt figure this one out- may not be true

Pythagorean Theorem is...   C) true for all right triangles

Step-by-step explanation:

Answer:

x = 7

y = 2

Step-by-step explanation:

x² - y² = 45    

(x+y) (x-y) = 45

x + y = 9   (known)

9 x  (x-y) = 45

x - y = 5

y = x-5  

x + (x - 5) = 9  (substitute)

2x = 14

x = 7

y = 2

Answer:

$303.24

Step-by-step explanation:

399.00x24%=95.76

399.00÷95.76=303.24

Answer:

2000

Step-by-step explanation:5%= 100 nickels

1%= 20 nickels

20 x 100 = 2000

Answer:

2,000

Step-by-step explanation:

If 5%=100 nickels , then 20x100=the number of nickels Chi has.  

20x100=2,000

Answer:

Uber: y = .25x + 3

Lyft: y = .75x

Step-by-step explanation:

Answer:

Amount of motorcycle = $11,500

Step-by-step explanation:

Given:

Tax rate = 12.5 % = 0.125

Amount of tax = $1,437.50

Find:

Amount of motorcycle

Computation:

Amount of motorcycle = [Amount of tax ] / Tax rate

Amount of motorcycle = [1,437.50] / 0.125

Amount of motorcycle = $11,500

Answer: Option B.

Step-by-step explanation:

By an online search, i found that the options are:

A: (123873, 24765, 25000, 5678)

B: (16287, 16728, 16827, 16872)

C: (98782, 98728, 98287, 98278)

D: (78082, 78802, 78208, 78028)​

The numbers will be arranged in increasing order if the difference between all the pairs of consecutive numbers in the set is positive (where the order of the numbers if from left to right):

For example, for the set A the differences are;

1) 24765 - 123873 = -99108

The difference is negative, then the second number is smaller than the first one, then the numbers are not arranged in increasing order.

Now let's see with set B:

1) 16728 - 16287 = 441

2) 16827 - 16728 = 99

3) 16872 - 16827 = 45

All the differences are positive, then the numbers on this set are arranged in increasing order.

We could easily see that in sets C and D the numbers are not arranged in increasing order, in set C the second number is smaller than the first one.

and in set D the third number is smaller than the second number.

Answer: sorry if it is not what you wanted I wasn't sure on what to submit

Answer:

z>-4

Step-by-step explanation:

Answer:

z>4

Step-by-step explanation:

-2z-3<5

add 3 to 5: -2z < 8

divide by -2: z < -4

but since you divided by a negative number, you have to change the way the inequality is facing so the answer is z>-4

Answer:

D

Step-by-step explanation:

Answer:

its A) love bc 1/f multipled  by 1/3 = 2/9

Step-by-step explanation:

Answer:

2 is wrong. That is a vertical angle not a linear pair. A linear pair would be 6 and 7.

Step-by-step explanation:

Everything else is correct.

Answer:

3/8 because 1/8 is .125 multiply by 3 and u get .375 aka 3/8

Answer:

C. ASA E. AAS B. HA

Step-by-step explanation:

ASA - The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

AAS -  If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of a second triangle, then the triangles are congruent.

HA - If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another triangle, then the two triangles are congruent.

Answer:

c.asa

Step-by-step explanation:

only C. asa tgat correct answer

X = 26 degrees

Step-by-step explanation:

84+ 70=154

180-154= 26

Answer:

a

Step-by-step explanation:

Answer: $720.10

Step-by-step explanation:

I got this by adding the prices all together

Answer:

7*(5)^0,5

Step-by-step explanation:

The value of number 7√5 in form of rational exponents will be 1561/1000.

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

The number is,

⇒ 7√5

Now,

Since, The number is,

⇒ 7√5

Solve as;

⇒ 7√5 = 7 × 2.23

           = 15.61

           = 1561/100

Thus, The value in rational exponents = 1561/1000

Learn more about the rational number visit:

https://brainly.com/question/12088221

#SPJ2

Answer:

1.50 for one cup of frozen yogurt.

Step-by-step explanation:

Answer:

it is D

since 6 percent of people infected by 10 day

Answer:

a

Step-by-step explanation:

Answer:

non linear

Step-by-step explanation:

you can see it doesnt go up a specific number each time, aka changes each time, therefor its  non linear

Answer:

2

Step-by-step explanation:

Use the method

Change in output  / Change in input

The input progresses by 1, and y progresses by 2.

We will plug the numbers in.

2/1

Then simplify.

2/1 = 2

Hence, the rate of change is 2.

Answer:

taking log on both side

(x+2)log(32) = xlog(2)

product rule you can use out here U.V formula after that it will give you answer

Answer: My answer would be 7.6

Step-by-step explanation: Hope this is correct.

#1

[tex]\\ \tt\hookrightarrow 3x+5=1/2(2x+15+6x-37)[/tex]

[tex]\\ \tt\hookrightarrow 6x+10=8x-22[/tex]

[tex]\\ \tt\hookrightarrow 2x=32[/tex]

[tex]\\ \tt\hookrightarrow x=16[/tex]

#2

[tex]\\ \tt\hookrightarrow 7x+2+25x-14=180[/tex]

[tex]\\ \tt\hookrightarrow 32x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 32x=192[/tex]

[tex]\\ \tt\hookrightarrow x=6[/tex]

____________________________

 - We do this because when solving this they are in parenthesis, so you must get rid of the parenthesis by turning them negative.

Equation at the end of Step 1:

 - We do this since we can only have on variable at the end of the problem, so you just combine them if they have the same variable base.

Equation at the end of Step 2:

 - We do this because we need one number left over to get a simplified version of this equation.

Equation at the end of Step 3:

____________________________

Answer:

its C

Step-by-step explanation: