Solve the equation for all values of x by completing the square.
x2 + 8.0 + 15 = 0

Answer:

if angle 1 is 127

then angle 5 is 635

Answer:

Step-by-step explanation:

22.36067977

Answer:

Bag of tulips = $ 7

Step-by-step explanation:

Given  :

12d + 6t = 198

6d + 7t = 127         <====== Multiply this equation by -2

-12d - 14t = -254      <==== now add this one to the top equation ( this will  eliminate 'd' )

   -8t = - 56

   t = 7  dollars

Answer:

60 peanuts and 24 raisins.

Step-by-step explanation:

First work out the divisor which is  5 + 2 = 7.

84 / 7 = 12.

So  there are 12 * 2= 24 raisins and 5 * 12 = 60 peanuts.

Answer:

3

Step-by-step explanation:

Given the question :

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

From the context of the expression:

n is the distance which exists between 1 1/2 and 3 units from it;

Which may be ;

1 1/2 - - - - (1 1/2 + 3) = 4 1/2

1 1/2 - - - - - (3 - 1 1/2)

Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.

Hence, n = 3

Answer:

2000 kg.

Step-by-step explanation:

Density = mass / volume

-->  mass = density * volume

-->  mass =  40 * 50

-->  mass = 2000 kg.

Answer:

3.46 because taking 1.05 minutes is 5.00 and 60 second make one hour

Answer:

1 5/6 yards of fabric.

Step-by-step explanation:

4 1/3 = 13/3

2.5 = 5/2

13/3 - 5/2 = [tex]\frac{26-15}{6} = 11/6[/tex]

2 3 8 is equal to 2.375

Step-by-step explanation:

in fraction form

Answer:

[tex]y=3\cos(\frac{8}{7}x)+2[/tex]

Step-by-step explanation:

Recall

We are given that the amplitude is [tex]a=3[/tex] and that the equation of the midline is [tex]d=2[/tex]. Since we know the period to be [tex]\frac{7\pi}{4}[/tex], we need to solve for [tex]b[/tex] by setting up the equation [tex]\frac{7\pi}{4}=\frac{2\pi}{|b|}[/tex]:

[tex]\frac{7\pi}{4}=\frac{2\pi}{|b|}\\\\7\pi b=8\pi\\\\b=\frac{8}{7}[/tex]

Hence, our cosine function will be [tex]y=3\cos(\frac{8}{7}x)+2[/tex]. See the attached graph for a visual.

Step-by-step explanation:

when picking (ahem, buying) a soccer ball, there are 75 total possibilities.

the chance to pick a bad one is then

4/75 = 0.053333333...

now we are buying 3 balls out of the 75.

how many possible options do we have ?

picks cannot be repeated, and the sequence does not matter, so we need combinations :

C(75,3) = 75! / (3! × (75-3)!) = 75×74×73/(3×2) = 25×37×73 =

= 67,525 possible groups of 3 balls.

from all these possibilities, how many have 2 good and 1 bad ball ?

as many as options we have to pick 2 balls out of 71 and 1 out of 4 :

C(71,2) × C(4,1) = 71! / (2 × (71-2)!) × 4! / (1 × (4-1)!) =

= 71×70/2 × 4 = 71×70×2 = 9,940 possibilities

so, the total probability to buy 2 good and 1 bad ball is

9940/67525 = 1988/13505 = 0.147204739...

Answer:

The answer would be 0.83 repeated decmal

Step-by-step explanation:

All you got to do is divide the two numbers and it'd give you 0.83 repeated decmal

Answer:

7.5

Step-by-step explanation:

7.5

[tex] \sqrt{30} [/tex]

- 28

------------

20

- 20

--------------

0

--------------

(Not a square root! I just used it to show how its being divided. And also on the left of the '30' is a 4, so 30 divided by 4 and so on.)

Sorry if the answer looks messy!

Answer:

15/2

Step-by-step explanation:

If you need to simplify it/it can't be a decimal then 15/2 would be your answer.

Work:

30/4 = 7.5 (decimal)

15 times 2 = 30 (15 goes into 30 twice evenly)

15/2 is the simplest you can make it without it being uneven.

15/2

42 if the base is 6 and the 7 is height, while if the base is 7 and the 2 is height the answer is 12 , then , if the 2 is base and then the 6 is height the answer is 12 again

Step-by-step explanation:

thats all

The effective cost per share for your shares based on the information given will be $24.50.

It should be noted that an effective cost per share simply means the exchange of a common stock equivalent when a share is sold.

In this situation, the stock closed at $24.50 at expiration and the option was assigned. Therefore, the effective cost per share for your shares is $24.50

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Answer:

y = x + 1

Step-by-step explanation:

Multiply the original by -Ax to find the perpendicular, then the point it lines up with on the y-intercept is so because there is a 1 difference between 5 and 6

Answer: 1

the fourth root of 2

Answer:

4 and 5

Step-by-step explanation:

n + 1 > 4

n > 4 - 1

n > 3

For the set { 1, 2 , 3 , 4, 5 }, 4 and 5 are greater than 3.

Hence, 4 and 5 makes the inequality n + 1 > 4 true.

Answer:

first and fourth

Step-by-step explanation:

x² - 4 = 0 ( add 4 to both sides )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

that is x = - 2, x = 2

4x² = 16 ( divide both sides by 4 )

x² = 4 ( take square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

that is x = - 2, x = 2

Answer: x = 6

Step-by-Step Explanation:

=> -9x + 2x + 32 = -10

= -7x + 32 = -10

= -7x = -10 - 32 = -42

=> x = -42/-7 = 42/7 = 6

Therefore, x = 6

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

-9x+2x+32=-10. what is x?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer \& How to solve:-}}}[/tex]

   When solving an equation, we need to make sure all variables are on the

    left-hand side, and all numbers are on the right-hand side.

    There are numbers on both sides, so we need to move all of them to the right.

  [tex]\bold{-9x+2x=-10-32}[/tex]

[tex]\bigstar[/tex] On simplification,

        [tex]\bold{-9x+2x=-42}[/tex]          Next, combine like terms (-9x+2x).

[tex]\bigstar[/tex] On further simplification,

   [tex]\bold{-7x=-42}[/tex]                Next, divide by -7 on both sides.

[tex]\bigstar[/tex] Which results in

[tex]\bold{x=6}[/tex]

It's always a good idea to make sure the solution is correct.

We can check that by substituting the value of x (x=6) in lieu of x (into the original equation) and seeing whether or not we have a true statement:-

[tex]\bold{-9(6)+2(6)+32=-10}[/tex]

[tex]\dagger[/tex] On simplification,

[tex]\bold{-54+12+32=-10}[/tex]

[tex]\dagger[/tex] On further simplification,

[tex]\bold{-42+32=-10}[/tex]

[tex]\dagger[/tex] Which results in

[tex]\bold{-10=-10}[/tex]

LHS=RHS, so our solution is indeed correct.

So we conclude that [tex]\boxed{\bold{x=6}}[/tex].

[tex]\rule{300}{2}[/tex]

Answer:

58.92 deg

Step-by-step explanation:

Angle J

In a right triangle    tangent of angle = opposite side / adjacent side

Tan J =   opp / adj = 15.1 /9.1

 then arctan ( 15.1/9.1 ) = J  = 58.92 deg

Answer:

There are 2.5 pints in 1.25 quarts

Step-by-step explanation:

La respuesta de cual es %15 de 400 es 60

The statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.

To answer the question, we need to know what speed is.

Speed is the distance moved per unit time

Since Alex is standing still and throws a football with a speed of 10 m/s to his friend, who is also standing still. If there were relative motion between Alex and his friend, that is Alex or his friend were moving, each person would observe a different speed for the football.

Since there is no relative motion between Alex and his friend, they both observe the same speed for the football.

So, both Alex and his friend observe it as 10 m/s.

So, the statement that describes how each person observes the speed of the football is both Alex and his friend observe it as 10 m/s.

Learn more about speed here:

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Answer:

Step-by-step explanation:

As we given that A patient in a hospital is given soup daily in a cylindrical bowl of diameter 7 cm. If the bowl is filled with soup to a height of 4 cm.

So,

[tex]\bigstar[/tex]To Find Volume of soaps required in the hospital to prepare daily to serve 250 patients. Firstly we need to find The volume of Soap in each bowl for 1 patient.

Using formula:

[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf \red{\underbrace{Volume_{(Cylinder)} = \pi r^2 h}} \\ \\ [/tex]

On substituting the required values, we get:

[tex] \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \dfrac{22}{7} \times {(3.5)}^{2} \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{7} \times 12.25 \times 4 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = \frac{22}{ \cancel{7} } \times{ \cancel{ 49}} \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf Volume_{(Cylinder)} = 22 \times 7 \\ \\ \\ \: \: \: \: \dashrightarrow \: \: \: \: \sf{ \red{ \underbrace{Volume_{(Cylinder)} = 154 \: {cm}^{3}}}} \\ \\ [/tex]

Hence, We have get the volume of soap for 1 patient is 154 cm³.

Now we need to find the volume of soap for 250 patients:

[tex] \\ \: \: \: \: \: \: \dashrightarrow \: \: \: \: \: \: \sf 154 \times 250 \\ \\ \: \: \: \: \: \dashrightarrow \: \: \: \: \: {\red{\underbrace {\sf {38500 \: cm^3}}}} \\ \\ [/tex]

Soap In litres:

[tex]\therefore[/tex]38.5 litres soup the hospital has to prepare daily to serve 250 patients.