PLEASE HELP ASAP 30 POINTS MY BRAINS TO FRIED TO THINK. I ALREADY DID A PART OF THE ANSWER, PLEASE SOLVE THE REST.

An expression is shown below:

f(x) = −16x2 + 22x + 3

What are the coordinates of the vertex? Justify your answers and show your work.

ANSWER:
To find the vertex: the x value = f(x)=ax^2+bx+c= is -b/(2a), and y value = f(-b/(2a)).
Given: f(x)= −16x2 + 22x + 3
a= -16 and b= 22
b-/2a= -(22)/(-16*2)=11/16
PLEASE SOLVE THE REST

Answer:36.25%

Step-by-step explanation: 29 divided by 80 = .3625

Then convert to a percentage by moving the decimal two spaces to the right =36.25

Answer:

36.25 %

Step-by-step explanation:

Is means equals and of means multiply

Let P be the percent

29 = P * 80

Divide each side by 90

29/80 = P 80/80

.3625 = P

Changing from decimal form to percent form

36.35% = P

Answer:

  B.  π(3/2)²h

  (27/4)π cubic inches

Step-by-step explanation:

A. The formula for the volume of a cylinder is ...

  V = πr²h

The radius (r) is half the diameter, so for a diameter of 3 inches, the radius is 3/2 inches. When this is put into the formula, the volume is ...

  V = π(3/2)²h . . . . . . matches choice B

__

B. When h=3, the volume evaluates to ...

  V = π(9/4)(3) = (27/4)π . . . . cubic inches

Answer:

b= -3

Step-by-step explanation:

To solve, we must isolate the variable, b

-9b=27

Divide both sides by -9 to "reverse" the multiplication being done to b

b= -3

Answer:

12000

Step-by-step explanation:

Jenkins had x dollars

He left 1/2 of that to his grandkids

He has x-1/2x = 1/x

He leaves 1/2 of that to his kids

1/2*1/2 x = 1/4x to his kids

His wife gets 1/6x

The rest is 1000

The total is

grand kids + kids + wife + 1000

1/2 x + 1/4x + 1/6x + 1000

He started with x

1/2 x + 1/4x + 1/6x + 1000  =x

Multiply each side by 12 to get rid of the fractions

12(1/2 x + 1/4x + 1/6x + 1000)  =x*12

6x+3x +2x +12000= 12x

Combine like terms

11x +12000 = 12x

Subtract 11x from each side

11x-11x +12000 = 12x-11x

12000=x

Since he started with x, he left 12000 dollars

Answer:

$12,000

Step-by-step explanation:

Let total be X

X - ½X = remaining after giving to grand kids

½(X/2) = ¼X remaining after giving to children

¼X - ⅙X = (3X - 2X)/12 = X/12 after giving to wife

X/12 = 1000

X = 12,000

The parallelogram diagonal theorem pertains to vector addition and subtraction, where the diagonals of a parallelogram indicate the resultant and the difference of two vectors. The precision of the resultant vectors is attained through trigonometry laws or by drawing the vectors to scale, with the alternative method of components simplifying calculations. The Pythagorean theorem also aids in accurately determining the lengths of resultants in right-angled vector scenarios.

In geometry, the parallelogram diagonal theorem states that when two vectors form the sides of a parallelogram, the diagonals of that parallelogram represent the sum and the difference of the two vectors. This can be understood by two distinct operations:

The magnitude and direction of these resultant vectors cannot simply be calculated as the arithmetic sum or difference of the magnitudes of individual vectors A and B. Instead, we must apply trigonometry laws or construct the vectors to scale and measure directly if precision is not paramount. The method of components, involving breaking down vectors into their orthogonal components along the axes, offers an alternative by circumventing complex algebraic calculations.

To add multiple vectors, we can sequentially apply the parallelogram rule to combine pairs until we derive the overall resultant. The process is both commutative and associative, meaning that the order of addition does not affect the final resultant vector.

The Pythagorean theorem, crucial for right triangles, allows us to calculate the straight-line distance (hypotenuse) when we know the lengths of the other two sides. It serves as another example of how vector components can simplify the calculation of resultants in orthogonal directions.

Answer: 8 5/8 turns

Step-by-step explanation:

Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).

Mathematically speaking:

5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)

In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.

Answer:

166

Step-by-step explanation: 0.06 times 166 equals 9.96 and Aiden wants at least 5 dollars left so 166 is the answer

Answer:

Its

C my dude

Step-by-step explanation:

.

Answer:

(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2

The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 42 x 51

Simplify the expression, then we have

⇒ 42 x 51

⇒ (40 + 2) x (50 + 1)

⇒ 40 x 50 + 40 x 1 + 50 x 2 + 2 x 1

⇒ 2,000 + 40 + 100 + 2

⇒ 2,142

The equation can be used to find 42 x 51 will be (40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2. Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

P(owns a pet) x P(owns a car)

Step-by-step explanation:

Two independent events,

Own a pet and own a car

The probability of independent events can be written as,

(Probability of event 1) x (probability of event 2)

P(owns a pet) x P(owns a car)

Answer:

P(owns a pet)

Step-by-step explanation:

Answer:

Not true

Step-by-step explanation:

n+7     =     2n+3

Final answer:

The student's algebra problem is solved by setting up the equation x + 7 = 2x + 3, where x is the unknown number, and using algebraic manipulations to find that x equals four.

Explanation:

The student's question pertains to an algebraic expression where a number and seven have a sum that's equivalent to double the number increased by three. To express this situation mathematically, we could set up the equation x + 7 = 2x + 3, where x represents the unknown number. To solve for x, we start by subtracting x from both sides of the equation, leading to 7 = x + 3. Then, we subtract 3 from both sides to isolate x on one side, resulting in 4 = x. Therefore, the number we are looking for is four.

The properties of numbers, such as the commutative property of addition which states that A + B = B + A, apply to this equation. This principle indicates that the order in which you add numbers does not affect the sum, a foundational concept taught across various arithmetic and algebra contexts in mathematics.

Answer:

11. x=15 , 12. x=-16, 13 x is greater than or equal to 15 , 14 x=-3 , 15 x=-3, 16 x=15/2 , 17 x is greater than is equal to -4, 18: x is greater than -11

Step-by-step explanation:

11. 4x+15=75

subtract 15

4x=60

divide

x=15

12. 2x = -32 (subtract 13 from each side)

divide

x=-16

13. multiply each side by

-3/2

x is greater than or equal to 15

14. -3x -18 + 5 = -4

isolate x

-3x=9

x=-3

15. -5x-30 +5=-10

isolate x

-5x = 15

x= -3

16. 2x + 16 = 6x - 14

isolate x

4x = 30

x= 15/2

17 isolate x

x is greater than is equal to -4

18. isolate x

x is greater than -11

Hope it will help u.....

Final answer:

The correct dimensions for the two rectangular rugs, given that the product of their areas is 84 and each dimension is a prime number, are 2, 3, 3, and 7. Option : A) 2, 3, 3, 7 is correct answer .

Explanation:

The student's question is about finding the four dimensions of two rectangular rugs given that the product of their areas is 84 and each dimension is a prime number. We can break down the number 84 into its prime factors which are 2, 2, 3, and 7. Because dimensions must be prime numbers and since the only way to multiply four factors to get 84 is to pair them as (2 x 3) and (2 x 7), the dimensions of the rectangles are 2, 3, 2, and 7. However, since we know that the dimensions of the rugs must also be lengths, and lengths cannot be repeated for the same rug, it follows that the correct option must list each length only once.

Therefore, the four dimensions cannot be 2, 3, 2, and 7 since this would imply one rug has dimensions 2 x 2 which would not yield a prime number length for one side. Looking at the options given, the only set of dimensions that fulfill the criteria of being prime numbers and not repeating any length for the same rug is 2, 3, 3, and 7. Thus, the correct answer is: A) 2, 3, 3, 7.

The four dimensions of the rectangular rugs are 2, 2, 3, and 7. Hence, the correct option is D.

The four dimensions of the rectangular rugs are 2, 2, 3, and 7.

To find the dimensions, we need to factorize 84, which is 2 x 2 x 3 x 7 = 2^2 x 3 x 7.

Therefore, the dimensions are 2, 2, 3, and 7, which are all prime numbers.

Answer:

c = 12.5

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem (a^2 + b^2 = c^2)

lets say 10 = a and 7.5 = b (this is because they are the legs of the triangle and variables a and b represent the legs of the triangle)

plug into the Pythagorean theorem.

10^2 + 7.5^2 = c^2

simplify (here you just square 10 and 7.5)

100 + 56.25 = c^2

simplify

156.25 = c^2

simplify

(here you get the square root of 156.25 and c^2, the positive square root of 156.25 is 12.5 and the square root of c^2 is c)

12.5 = c

Answer: 12.5

Step-by-step explanation: the pythagorean theorem is used to solve this equation theorem is (a x a) + (b x b) = (c x c) this is also called squaring

first substitute them in : (10 x 10) + (7.5 x 7.5) = (c x c)

then multiply 10 x 10 = 100 and 7.5 x 7.5 = 56.25 then substitute again

100 + 56.25 = (c x c) then add

156.25 = (c x c) then calculate the square root of 156.25 which is 12.5

hope this helps mark me brainliest if it helped

Answer:

1. 425,328 -> 425,330

2. 105,025 -> 105,030

3. 45,527 -> 45,530

4. 35,478 -> 35,480

5. 212,369 -> 212,370

Step-by-step explanation:

000,000 the underlined number is the tens place. In order for the tens place to round up the ones place must be 5 or above. If the ones place is lower than 5 you round down to the nearest tens.

In Example:

333,389 you would round up to 333,390 because of the 9 in the ones place.

Now, 333,333 you would round down to 333,330 because of the 3 in the ones place

Answer:

1:2

Step-by-step explanation:

÷ by 6 both 6 and 12

you will receive 1:2 is the simplest form.

Answer:

D. 5/7

Step-by-step explanation:

5/7 is real because it can be plotted on a number line,

Its rational because it can be written as a fraction of 2 integers

But it is not an integer

Answer:

C. (-3, 1)

Step-by-step explanation:

[tex] - x + y = 4 \\ \therefore \: y = x + 4...(1) \\ \& \: 3x - 4y = - 13....(2) \\ substituting \: y = x + 4 \: in \: equation \: (2) \\ 3x - 4(x + 4) = - 13 \\ 3x - 4x - 16 = - 13 \\ - x = 16 - 13 \\ - x = 3 \\ \huge \red{ \boxed{x = - 3}} \\ plug \: x = - 3 \: in \: equation \: (1) \\ y = - 3 + 4 \\ \huge \purple{ \boxed{y = 1}} \\ \\ \orange{ \boxed{ \bold {\therefore \: (x, \: \: y) = ( - 3, \: \: 1)} }}[/tex]

Answer:

I think its 3.0

Step-by-step explanation:

Answer:

A. 3

Step-by-step explanation:

since the missing angle adds up to 90° when added to 66°, first you would subtract 66 from 90

[tex]90-66=24[/tex]

set that number equal to [tex]8x[/tex] and solve for [tex]x[/tex]

[tex]8x=24[/tex]

[tex]x=3[/tex]

Answer:

I don;t know what the question is but I know that z is an imaginary number.

Step-by-step explanation:

z=-302+19.3i

that means that it doesn't represent an actual number but is imaginary.

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.

One unbiased suggestion is to create an online survey with a variety of activity options and allow students to anonymously vote for their preferences.

To ensure an unbiased approach in determining the activities for the end-of-the-school-year event, the student council can implement an online survey. This method allows all eighth-grade students to participate anonymously, eliminating potential biases based on social dynamics or peer pressure.

The survey should include a range of activity options, including both indoor and outdoor activities, sports, games, arts and crafts, and any other activities that may appeal to a diverse group of students. Additionally, students should have the option to suggest their own activity ideas to ensure that all interests are represented.

To further promote fairness, the survey should be distributed widely to all eighth-grade students through school email, online platforms, or even paper flyers if necessary. The survey should clearly state the purpose of gathering feedback and reassure students that their responses will be kept confidential.

After collecting responses, the student council can analyze the data to identify the most popular activity choices among students. This data-driven approach ensures that the end-of-the-school-year event reflects the interests and preferences of the majority of eighth-grade students, promoting inclusivity and fairness.

Overall, implementing an online survey provides an unbiased and transparent method for gathering feedback and making decisions about the event, ultimately enhancing the experience for all students involved.

Answer:

$8.75

Step-by-step explanation:

To calculate this you could use two methods. The first method is to find out what 10% is and multiply it by 5. The second method is to calculate 50% using the formula.

Method 1:

To work this out you would simply divide 17.50 by 10, which is 1.75. This is because percentages are out of 100 and so by dividing by 10 we are finding out what 10% is. Then you would multiply 1.75 by 5, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 17.50 by 10.

[tex]17.50/10=1.75[/tex]

2) Multiply 1.75 by 5.

[tex]1.75*5=8.75[/tex]

3) Minus 8.75 from 17.50.

[tex]17.50-8.75=8.75[/tex]

4) The new price is $8.75

Method 2:

The formula for percentages is.

[tex]\frac{percentage}{100} * amount[/tex]

To work this out you would first divide 50 by 100, which gives you 0.5. Then you would multiply 0.5 by 17.50, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 50 by 100.

[tex]50/100=0.5[/tex]

2) Multiply 0.5 by 17.50.

[tex]17.50*0.5=8.75[/tex]

3) Minus 8.75 from 17.50.

[tex]17.50-8.75=8.75[/tex]

4) The new price is $8.75.

Answer:

x = 1; y = -4

Step-by-step explanation:

y = -7x + 3

y = -x - 3

since y = y then -7x + 3 = -x - 3

-7x + 3 = -x - 3

- 7x + 6 = -x   (Because we add 3 to both sides)

x = 7x - 6 (Multiply both sides by -1)

-6x = -6 (Subtract 7x from each side)

x = 1

Answer:

7/3

Step-by-step explanation:

-3=-7x+3y

y=7/3+3y

7/3x-1

3x+3/7

=7/3

Answer:  .75

Step-by-step explanation:

Answer:211

Step-by-step explanation:

Answer:

it is a rectangle, rhombus, and a square

Step-by-step explanation:

when you graph it out, they all have equal sides and they have congruent angles

Answer:

it's answer is B 46

As 79 -33 = 46

Answer:

B) 46

Step-by-step explanation:

79 - 33 =

= + 46

Answer:

3 ln 4 + 3 lna

Step-by-step explanation:

In (4a)^3

We know that ln x^y  = y ln x

3 ln (4a)

We also know that ln (xy) = ln x + ln y

3( ln 4 + ln a)

3 ln 4 + 3 lna

Answer:

3 ln 4 + 3 lna

Step-by-step explanation:

Answer: 2

[tex]3x^3y+5x^2+y+9[/tex]