Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y2

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242

Answer:

1. The capacity of the water tank = 240 litres

2. So it will take 180 litres to fill it three quarters full.

Step-by-step explanation:

Dimensions of a water tank:

1 Meter=100 CM

Length (l) = 100 cm,

wide (w) = 40 cm,

Depth (h)= 60 cm,

Volume of the tank (V)

LWH

100 cm × 40 cm × 60 cm

240,000 cm³

The capacity of the water tank = 240,000 cm³ / 240 litres

(240,000*3)/4 = 180,000 cm3

So it will take 180 litres to fill it three quarters full.

Answer:

46.875 %

Step-by-step explanation:

30 grams of fat out of 64 grams

30/64 =.46875

Change to percent form

46.875 %

Answer:46.875

Step-by-step explanation:

Answer:

A) g(x)= -(x-6)^2

Step-by-step explanation:

The graph is of a parabola, so there must be a ^2

If you plug the equation into the graphing calculator it will graph it for you.

Answer:

[tex]-12x^4-11x^2-2[/tex]

Explanation:

Step 1 - Expand

[tex](-3x^2-2)(4x^2+1)[/tex]

[tex]-12x^4-3x^2-8x^2-2[/tex]

Step 2 - Combine like terms

[tex]-12x^4-3x^2-8x^2-2[/tex]

[tex]-12x^4-11x^2-2[/tex]

Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].

Answer:

On Edge, the answer is D. 31x2 – 2.

The answer to that question is true.

We have given that,

Inductive reasoning is when someone uses lots of data to make a conjecture.

Inductive is most often used to describe a kind of reasoning or logic where general theories are formed from specific examples or incidents.

We have to determine whether the statement is true or false.

The answer to that question is true.

To learn more about the inductive visit:

https://brainly.com/question/860494

#SPJ2

Answer:

11 grams of drink mix per ounce of water

Step-by-step explanation:

I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.

Answer:

11 gm mix : 1 ounce water

Step-by-step explanation:

We find 1/7 of 19.75gm  = 2.75

Then we multiply by 4 = 11

We have found our ounce rate to be 11 gm : 1 ounce water

Answer:

positive

Step-by-step explanation:

the line is tilting up (you read it from left to right)

The slope of the line is, O positive.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph,

we get,

the straight line is in the positive direction.

Hence, The slope of the line is, O positive.

To learn more on slope click:

brainly.com/question/3605446

#SPJ2

Answer:

x=36

Step-by-step explanation:

3x+2x=180 (because they're supplementary angles)

5x=180

x=36

Answer:

c

Step-by-step explanation:

-10x is less than or equal to 40

x is greater than or equal to -4

flip the signs when you divide by a negative #

Answer:

a₁ = 3

Step-by-step explanation:

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

Here [tex]S_{6}[/tex] = 189 and r = 2, thus

[tex]\frac{a_{1}(2^{6}-1) }{2-1}[/tex] = 189, that is

a₁( 64 - 1) = 189

63a₁ = 189 ( divide both sides by 63 )

a₁ = 3

Answer:

D

Step-by-step explanation:

The marks through each of the sides of the triangle denote that all of the side lengths of the triangle are equal, or that it is an equilateral triangle. Therefore:

7x+9=x+27

6x+9=27

6x=18

x=3

Therefore, the correct answer is choice D. Hope this helps!

Answer:

x=3

Step-by-step explanation:

The sides are the same length

x+27 = 7x+9

Subtract x from each side

x+27-x = 7x-x+9

27 = 6x+9

Subtract 9 from each side

27-9 = 6x

18 = 6x

Divide by 6

18/6 = 6x/6

3 =x

Answer:

3: x = 3      4: y = 8

Step-by-step explanation:

Problem 3:

Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.

Problem 4:

Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).

Hope this helped!

Answer:

the second one trust me

Step-by-step explanation:

Answer:

84.6%

Step-by-step explanation:

There ae 52 cards in a standard deck there are 4 aces and 4 kings in each deck

therefore

52-8 =44, 44 cards that are not kings or aces

therefore the probability is

44/52 = 0.846153846*100 = 84.615%

There the chances are 44/52 or 84.6%

Answer:

11/13 or 84.62%

Step-by-step explanation:

There are 52 cards in a standard deck. There are 4 aces and 4 kings, 8 total. Subtract 8 from 52 to find the amount of cards that are not aces or kings:

52 - 8 = 44

Therefore, the probability of choosing a card that is not an ace or a king is 44/52, which can be simplified to 11/13. This can also be expressed as a percentage: approximately 84.62%.

Hope this helps! Please feel free to ask me any questions :)

Answer:

D

Step-by-step explanation:

we can set up the equation as 15x = 15x^2

factoring we get

15x(x-1) = 0

So the solutions are when x are 0 and 1

this gives the coordinates

(0,0) and (1,15)

Answer:

The circumference of the circle is 43.96m. This number rounded to the nearest tenth would make the circumference 44m.

Step-by-step explanation:

First, we must know the formula for finding the circumference of a circle.

[tex]Circumference = d\pi[/tex]

We are given the radius. In order to find the diameter, then we have to multiply the radius by 2 because the radius is half the size of the diameter.

7 * 2 = 14

Now, let's plug in 14 into our formula. We will 3.14 for pi.

[tex]Circumference=(14)\pi[/tex]

[tex]Circumference=43.96[/tex]

This number rounded to the nearest tenth is 44.

Answer:

Answer is 44 m

Answer is rounded to the nearest tenth place.

Step-by-step explanation:

[tex]given \: that \\ radius \: of \: circle \: (r) = 7 \: m \\ we \: know \: that \\ circumference \: = 2\pi \: r \\ on \: substituting \: r = 7 \: m \: in \: formula \\ we \: get \\ circumference \: = 2\pi \times 7 \\ = 14\pi \\ substitute \: \pi = \frac{22}{7} \\ = 14 \times \frac{22}{7} \\ = 2 \times 22 \\ = 44 \: m \\ answer \: is \: rounded \: to \: nearest \: tenth.[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

the answer is-

Step-by-step explanation:

b added to 12 times x.

the plus sign is given for addition and 12x is equivalent to 12×x or 12 timesc

Answer:

[tex]3x^2-13x+4[/tex]

Step-by-step explanation:

[tex](x - 4)(3x - 1)[/tex]

[tex]3x^2-1x-12x+4[/tex]

[tex]3x^2-13x+4[/tex]

Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

The right answer is 10√5..

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

2nd one

Step-by-step explanation:

If you look at all the factors the highest pair with a square root is 5•100

The square root of 100 is 10

And then the square root of 5 is left

Answer:

Step-by-step explanation:

this is a radical equation:

when x=1 y=0

reflected about x

-sqrt(x)

right 1 unit

-sqrt(x-1)

it looks like y-int is about (0,1/3)

vertically compressed by a factor of 1/3

-(1/3)sqrt(x-1)

if you think the y-int is more (0,1/4), then

the function is vertically compressed by a factor of 1/4

-0.25sqrt(x-1)

Answer: Option D.

Step-by-step explanation:

Out of the 15 simulations, the number with a 1 in them is 7. (are the sets of 5 shots that have at least one 3-pointer)

So out of 15 sets, 7 of them have at least one 3-point in them.

the experimental probability is p = 7/15.

So the correct option is D.

Answer:

x = 9, y = 4 and z = 6.67

Step-by-step explanation:

Since both the polygons are similar, by the property of similarity corresponding sides of the polygons will be proportional.

Therefore, [tex]\frac{x}{6}=\frac{12}{8}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{10}{z}=\frac{12}{8}[/tex]

z = [tex]\frac{10\times 8}{12}[/tex]

z = [tex]\frac{20}{3}[/tex] = 6.67

And [tex]\frac{6}{y}=\frac{12}{8}[/tex]

y = [tex]\frac{8\times 6}{12}[/tex]

y = 4

Therefore, x = 9, y = 4 and z = 6.67 will be the values.

The three consecutive odd integers : 7, 9, 11

Further explanation

Algebraic expressions in mathematics are a combination of coefficients, numbers, variables, constants and arithmetic operations such as addition, subtraction, multiplication, and division.

The main composition of algebraic expressions are:

• 1. phrases

algebraic forms separated by arithmetic operations

consists of one phrase (monomial) to many phrases (polynomial)

• 2. variable

is a value that can be changed, can be in the form of letters, for example, x, y, a, b, etc.

• 3. constants

is a fixed value, can be a number

• 4. arithmetic operations

+ , - , : , x

integer number: numbers consist of positive, negative and 0 numbers

Odd number: Any integer that cannot be divided by 2.

The last digit is 1, 3, 5, 7 or 9

Because it is divided by 2, the difference between the two numbers is also 2 for consecutive numbers

Then consecutive odd numbers can be symbolized:

x, x + 2, x + 4, x + 6, x + 8, etc.

For example, 3 consecutive odd numbers are:

x + 4, x + 6, x + 8

the sum of the largest and twice the smallest is 25, can be expressed in terms of arithmetic operations:

(x + 8) + 2 (x + 4) = 25

So the solution:

x + 8 + 2x + 8 = 25

3x + 16 = 25

3x = 9

x = 3

So the smallest number is:

= x + 4

= 3 + 4

= 7

or

Find three consecutive odd integers such that the sum of the largest and twice the smallest is 25. If x represents the smallest integer, then which equation could be used to solve the problem? 2x + x + 2 = 25 2x + x + 4 = 25 2x + 2x + 4 = 25.

Answer:

The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Step-by-step explanation:

The problem asks to use x to represent the smallest of the three integers.

Odd integers are 2 units apart, such as 1, 3, 5, 7. The difference between consecutive odd integers is 2.

Since the smallest odd integer is x, then the next larger one is x + 2. The largest odd integer is x + 2 + 2, or x + 4.

The three odd integers are

x, x + 2, x + 4

The problem then states "the sum of the largest and twice the smallest is 25."

The largest one is x + 4.

Twice the smallest is 2x.

Their sum is 2x + x + 4.

That sum equals 25.

2x + x + 4 = 25

3x + 4 = 25

3x = 21

x = 7

The smallest integer is 7.

Then x + 2 = 7 + 2 = 9,

and x + 4 = 7 + 4 = 11.

Answer: The three integers are 7, 9, 11.

The equation is: 2x + x + 4 = 25

Answer:

D. Make a list

Step-by-step explanation:

Answer:

D. Make a list

Step-by-step explanation:

You can tell that this is the correct answer just by the wording. First, guess and check doesn't make sense as a strategy by which to plan which bracelets you can sell. Neither does working backwards. Finding a pattern doesn't apply to this sort of thing. So therefore, the answer is make a list.

Answer:

c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Three times is 3 x b + 6

Answer:

x=0

Step-by-step explanation:

first remove parentheses 11x + 22 + 3x +12 =34

then cancel equal terms 14x + 34 = 34

divide both sides by 14 14x = 0

solution x = 0

Answer:

≈ 64.43 cm²

Step-by-step explanation:

Subtract the area of the circle from the area of the rectangle.

area of rectangle = 7 × 11 = 77 cm²

area of circle = πr² = π × 2² = 4π cm²

Thus

area of shaded region = 77 - 4π ≈ 64.43 cm² ( to nearest hundredth )

Answer:

The answer might be 64.43 CM. I hope this helps. Please tell me if you get it right or wrong.

Step-by-step explanation: