MATHEMATICS HIGH SCHOOL

Jason takes 2 cl of medicine.how many ml is this.
Can someone please help.
Thanks

Answers

Answer 1
Answer: The answer is 20ml
Hoped I helped =)

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Solve the equation 40=5(d - 2)-2(x - 9)= -24
In the last 2 weeks, a plant grew 1/16 in. and 3/16 in. respectively.How much did the plant grow in the last 2 weeks? Express your answer in lowest terms.in.
A baker made 9 cupcakes 4 people want to share them equally how many will each person get
Tim Taylor received a $500 gift from his grandparents. He wants to invest this money for the down payment of a house that he plans to purchase in 3 years. What type of computation should he use? a) Present value of a single amount b) future value of a single amount c) single interest d) present value of an annuity e) future value of an annuity
One angle is 36°. What is the measure of its complement?A) 54°B) 64°C) 144°D) 324°

Write a quadratic function in standard form containing the point (6,5) and x-intercepts 5 and 11.​

Answers

Answer:

\sf y = -x^2 + 16x - 55

Step-by-step explanation:

In order to write a quadratic function in standard form, we can use the factored form of a quadratic equation and then expand it.

The factored form of a quadratic equation is:

\sf y = a(x - r_1)(x - r_2)

Where:

  • (r1, 0) and (r2, 0) are the x-intercepts.
  • (6, 5) is a point on the quadratic function.

Given that the x-intercepts are 5 and 11, we can write:

y = a(x - 5)(x - 11)

Now, we'll use the point (6, 5) to find the value of 'a':

5 = a(6 - 5)(6 - 11)

5 = a(1)(-5)

5 = -5a

Now, solve for 'a' by dividing both sides by -5:

\sf a =(-5)/(5)

a = -1

Now that we have the value of 'a', you can write the quadratic function in standard form:

y = -1(x - 5)(x - 11)

Now, expand and simplify the expression:

\sf y = -1(x^2 - 16x + 55)

\sf y = -x^2 + 16x - 55

So, the quadratic function in standard form containing the point (6, 5) and x-intercepts 5 and 11 is:

\sf y = -x^2 + 16x - 55

\bold{ANSWER:}
f(x) = -x^2 + 16x - 55.


\bold{SOLUTION:}

• To write a quadratic function in standard form, we can use the factored form of a quadratic equation:

f(x) = a(x - r1)(x − r2),

• where r1 and r2 are the x-intercepts. We are given that the x-intercepts are 5 and 11, so we can substitute these values into the equation:

f(x) = a(x-5)(x - 11).

• Now, we need to find the value of 'a' and substitute the coordinates of the given point (6, 5) to solve for 'a'.

• Substituting the point (6, 5) into the equation, we get:

5a(65) (6 - 11).

• Simplifying further:

5 = a(1)(-5).

5 = -5a

• Dividing both sides by -5

a = -1

• Now that we have found the value of 'a', we can substitute it back into the equation:
f(x)=-1(x-5)(x - 11).

• Expanding the equation:

f(x) = -1(x^2 - 11x - 5x + 55).

• Simplifying:

f(x) = -x^2 + 16x - 55.

Therefore,

The quadratic function in standard form that contains the point (6, 5) and x-intercepts 5 and 11 is:

f(x) = -x^2 + 16x - 55.

Carey already owns 2 necklaces, and additional necklaces are priced at 2 for a dollar. With $2 to spend on new necklaces, how many total necklaces can Carey own? Write and solve an equation to find the answer.

Answers

2x=2. Solving this, you get x=1. You then add 2 to 1 because she already has 2 necklaces to get that she can have a total of 3 necklaces.

Answer:

3

Step-by-step explanation:

2x=2. Solving this, you get x=1. You then add 2 to 1 because she already has 2 necklaces to get that she can have a total of 3 necklaces.

Which of the following represents the measure of all angles coterminal with 418° angle?

Answers

The correct answer is:

58+360n, for any integer n.

Explanation:

412° is more than 360°, which is a full circle.  To find the smallest angle that is coterminal with 412°, we subtract 360° from it:
412-360 = 58°

This means that 58° is the smallest coterminal angle with 412°.

Every whole circle added on to this will also be coterminal with it.  Again, a whole circle is 360°; this means that every 360° increment that is added to 58° will be coterminal with it.  

To represent multiples of 360, we write 360n.  Adding this to our original angle, we have 58+360n.

This works for positive and negative numbers; for example, if you use n = -1:

58+360(-1) = 58-360 = -302

Graphing this angle, we would go counterclockwise from the positive x-axis; we would land at 58°, so it would still be coterminal with 412°.
418° is the same angle as 360° + 58° .

And then, if you add any whole number of 360s onto it,
you get the same angle again.

So it's    58+360n  with n=any whole number 
                                 (n=0 doesn't work, so it's not 'integer'.  '0' is an integer.)

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A hot air balloon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and represent the balloons total change in altitude. Math symbols Relations Geometry Groups Trigonometry Statistics Greek Previous Next

Answers

The total change in altitude= 960ft.

Step-by-step explanation:

Rate at which balloon descend = 320 ft per minute

Time = 3 mins

Total height descended = 320 x 3

= 960 ft.

The total change in altitude= 960ft.

103 is 20% of what number

Answers

Use property of proportions:

103 ---------- 20%
   x   ---------- 100%

x=(103*100)/(20)=(10300)/(20)=515

So, 103 is 20% of 515
x \cdot 20 \% =103 \n \n x\cdot (20)/(100)=103 \n \n (1)/(5)x=103 \ \ / \cdot 5\n\nx=515 \n \nAnswer: \ number \ is \ 515

Sandra is making vegetable soup. If she makes 12 cups of soup, how many cups of onions does she need? Each 3 cups uses 1/8 of onions

Answers

Sandra will need 1/2 cup of onions
1/8 cup onions for every 3 cups of soup
3 x 4 = 12
1/8 x 4 = 1/2
BRAINLIEST PLEASE! thank you

Answer:

1/2 or 0.5

Step-by-step explanation:

For 3 cups she needs 1/8 of onions.

so for 1 cup she will need 1/8 ÷ 3 = 1/8 × 1/3 = 1/24.

for 1 cup of soup she needs 1/24 of onions.

For 12 cups of soup, she will need 12 × 1/24 of onions

12/1 × 1/24 = 12/24 = 1/2 or 0.5
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