Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \underline{~~~~}.\]$

Answer:

C. 666

Step-by-step explanation:

USING PEMDAS we can solve this problem.

[tex]675-(15-12)^3 / 3\\15-12=3\\675-(3)^3/3\\675-27/3\\675-9=666[/tex]

Answer:

666

Step-by-step explanation:

Following Order of Operations rules (PEMDAS), we must do first any operations that appear inside parentheses.  Here (15 - 12) = (3).

Next we must perform any exponentiation.  Here we have 3^3 = 27.

Then we have 675 - 27 / 3, or 666 (Answer C)

Answer:

Total distance = 30 m

Step-by-step explanation:

Given:

AC : EC = 1:1

AC = 4x − 3 and EC = 2x + 6

Find:

Total distance

Computation:

AC = EC

So,

4x - 3 = 2x + 6

2x = 9

x = 4.5

AC = 4(4.5) - 3 = 15 m

EC = 2(4.5) + 6 = 15 m

Total distance = AC + EC

Total distance = 15 m + 15 m

Total distance = 30 m

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m

Given that a new bridge structure requires triangles that are in a ratio of 1:1 with the following parameters

AC = 4x - 3

EC = 2x + 6

Since the measure are in the same ratio, henec;

AC = EC

4x - 3 = 2x + 6

4x - 2x = 6 + 3

2x = 9

x = 4.5

Get the

AC = EC = 4x - 3

AC = EC = 4(4.5) - 3 = 15feet

The distance between the top and bottom of the bridge, in feet, is 15 + 15 = 30m\

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Answer:

d)33

e)80

Step-by-step explanation:

I'm sorry I don't really know how to explain this.

If for [tex] x[/tex] cumulative frequency the marks are $y$ (as given on the graph), we have $x$ students with marks equal to or less than $y$

d)

Total students are $140$. Hence three-fifths of that is $140\times \frac{3}{5}=84$. Find the marks at $84$ in the graph for the passing marks.

e)

From the graph we have $60$ students having less than or equal to $30$ marks. Total students are $140$.

Subtracting, $140-60=80$ we get the numbee of students achieving more than 30 marks.

Answer:

Time it takes to count the coins in your pocket

Step-by-step explanation:

Answer:

36 degrees

Step-by-step explanation:

Because it's a right angle, AOB and BOC are complementary, meaning they add up to 90 degrees.

(3x+30)+(6x-12)=90

9x+18=90

9x=72

x=8

AOB = 6x-12, so substituting

8 in for x gives us 48-12=36

Using it's concept, it is found that the exterior angles of the triangle are given as follows:

B. <5

C. <4

The exterior angles of a triangle are the angles that are outside the triangle.

In this problem, the angles are 4 and 5, which means that options B and C are correct.

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18 + 4 ÷ 2 − 8

Following PEDMAS, divide first:

18 + 2 -8

Now add and subtract to get the final answer:

18+2 = 20

20-8 = 12

The answer is 12

Answer:

12

Step-by-step explanation:

Answer:

im so sorry for the other answer i reported it and im gonna help with this question because i have the same question on my test.

ok so i got C it makes the most sense to me but if im wrong then ill delete this.

If im correct please mark me as brainliest

Step-by-step explanation:

yes this is wrong but i cant delete it so just ignore it

Answer:

B  3 1/2 to the right and one unit down

Step-by-step explanation:

Answer:

200 ft

Step-by-step explanation:

Since the road is 400 ft, the midpoint of the road is 200 ft from each end of the road.

Answer:

[tex]d=\sqrt{73}[/tex]

Step-by-step explanation:

[tex]Q(5, -1)[/tex]

[tex]P(-3, 2)[/tex]

Using the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}[/tex]

[tex]d=\sqrt{(-3-5)^2+(2-(-1))^2}[/tex]

[tex]d=\sqrt{(-8)^2+(3)^2}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{64+9}[/tex]

[tex]d=\sqrt{73}[/tex]

[tex]d\approx 8.5[/tex]

Answer:

D.$750

Step-by-step explanation:

3000 x 0.25 = 750

Answer:

$750

Step-by-step explanation:

First you have to find 2% of the total of $300. To do this you multiply 3000 by .25 to get 750, this is your answer.

Answer:

1/2

Step-by-step explanation:

====================================================

Explanation:

Since we have a circle, the segments extending from the center outward to the edge of the circle are radius segments. Any two radii of the same circle are the same length. The triangle on the left with the 92 degree angle is isosceles. Any isosceles triangle has exactly two side lengths that are the same, which leads to the base angles being the same as well.

For the triangle on the left with angles a,b,92, the base angles are 'a' and 'b'. So a = b.

For any triangle, the angles add to 180

a+b+92 = 180

a+a+92 = 180 ... Replace b with 'a'

2a+92 = 180

2a = 180-92

2a = 88

a = 88/2

a = 44

angle b is also 44 as well

a+b+92 = 44+44+92 = 180

Answer:

202.5 cm^2

Step-by-step explanation:

We can calculate the area of the shape by completing it

to a full rectangle or dividing it to a rectangle and triangle.

The second way seems easier

The area of the rectangle is calculated by multiplying length to width

20 × 9 = 180 cm^2

The area of a triangle is calculated by multiplying height to the base and that divided by two

5 × 9 ÷ 2 = 22.5 cm^2

Now add these two 180 + 22.5 = 202.5 cm^2

Answer:

202.5 cm squared

Step-by-step explanation:

To find the area of this figure easier, you can cut the figure like I showed in the attachment below.

The rectangle (purple): 20 times 9 is 180.

The right triangle (light blue): 9 times 5 times 1/2 is 22.5.

All together: 180 plus 22.5 is 202.5 cm squared!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Answer:

x = 13

Arc RQ = 180°

Step-by-step explanation:

PEQ is an inscribed angle and the measure of an inscribed angle in a circle is equal to half of the arc it sees.

The perimeter of a circle is always 360° therefore

2 × (5x + 15) + 9x + 17 + 6x - 12 = 25x + 35 = 360°

25x = 360 - 35

25x = 325

x = 13

Since arc RQ is equal to 10x + 30 we replace x with the value we just got

10×13 + 30 = 160°

Step-by-step explanation:

of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. x 2 + 13x + 36

Answer:

you change your mind, drag the item to the trashcan. Click the trashiecan to clear all your answers. Factor completely and then place the factors in the proper location on the grid.

Step-by-step explanation:

Thanks!

Answer:

x=9

Step-by-step explanation:

PQ + QR + RS = PS

2x-6 + 1 + x-4 = 18

Combine like terms

3x -9 = 18

Add 9 to each side

3x-9+9= 18-9

3x = 27

Divide by 3

3x/3 = 27/3

x = 9

Answer:

RS=5

Step-by-step explanation:

solve for x:

2x-6+1+x-4 = 18

combine like terms

3x-9=18

subtract both sides to make x isolated

3x=27

divide by 3 to get x

x=9

RS=x-4

RS=9-4

RS=5

Answer:

No qualitative graph shown here.

Step-by-step explanation:

No qualititative graph is shown here.  The given graph is quantitative, as it involves numerical measures.

Answer:

qualitative graph are graph that are used to represent situation that do not necessarily have numerial value it repressent the essential elements of a situation in a graphical form

Answer:

80

Step-by-step explanation:

5%-->20% is increased by x4, therefore you multiply 20 by 4 which is 80 or you can set an proportion

Answer:

H. 50 sq cm

Step-by-step explanation:

Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.

5 * 10 = 50 sq cm

Answer:

[tex]\huge\boxed{-\frac{3}{25} }[/tex]

Step-by-step explanation:

-0.12 in fraction form can be written as:

=> - 12/100

=> - 6 / 50

=> - 3/25

Answer:

[tex]\large \boxed{\mathrm{A. \ -3/25}}[/tex]

Step-by-step explanation:

Convert the decimal to a fraction.

-(0.12) = -(12/100)

Simplify the fraction.

-(12/100) = -(6/50) = -(3/25)

Answer:

-615.12

Step-by-step explanation:

hope this helps

plz mark as brainliest!!

Answer:

300 yards squared

Step-by-step explanation:

Triangle area = 12 x 5 / 2 = 30

2 Triangles (because there are two of them) = 60

Big rectangle = 8 x 13 = 104

Small Rectangle = 8 x 5 = 40

Medium Rectangle = 96

Add all up = 300

Hope that helped!!! k

Answer:

.00002

Step-by-step explanation:

2 * 10 ^-5

Move the decimal 5 places to the left since the exponent is negative

2.

We will need to add zeros on the left  Add 4 zeros since we can move it one place already

.00002

Answer:

(D) 0.00002

Step-by-step explanation:

Let's first forget about the 2 in the expression and focus on [tex]10^{-5}[/tex].

If we have 10 to a positive number, that many times the decimal place will move to the right. It's the opposite for 10 to the power of a negative number.

The decimal place will move 5 places to the LEFT.

So:

[tex]0000010\\\\0.00001[/tex]

Now we remember the two, and multiply this by two to get 0.00002.

Hope this helped!

Answer:

Hey there!

For this question, we write a proportion.

[tex]\frac{40}{0.6}=\frac{250}{x}[/tex]

[tex]40x=150[/tex]

[tex]x=3.75[/tex]

Thus, the nurse to give the patient exactly 3.75 ml of the solution.

Let me know if this helps :)

The volume of the simethicone solution given by a nurse is 3.75 milliliters.

Given:

To find:

The milliliters of a solution to be given to the patient by a nurse.

Solution:

Mass of simethicone drug to be given = 250 mg

Let the volume of the solution with 250 mg of simethicone be x.

The concentration of simethicone in solution = 40 mg/0.6 mL

Mass of simethicone in 1 mL of solution:

[tex]40 mg/0.6 mL=\frac{40 mg}{0.6 mL}\\\\=\frac{400 mg}{6 mL}[/tex]

The mass of simethicone in 'x' mL of solution:

[tex]250 mg=x\times \frac{400 mg}{6 mL}\\\\x=\frac{250 mg\times 6 mL}{400 mg}\\\\x=3.75 mL[/tex]

The volume of the simethicone solution given by a nurse is 3.75 milliliters.

Learn more about the unitary method here:

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Answer:

31

Step-by-step explanation:

(45) - (+14)

45 - 14 (Negative sign is distributed)

=31

Answer:

30% = 30/100 = 0.3

1.3 would be 130%

I hope this helps you!

30% is equivalent to 0.30 or 3/10, but not 1.3.

There seems to be an error in the statement that 30% is equivalent to 1.3. That is not correct.

To clarify, 30% is equivalent to the decimal value 0.30 or the fraction 3/10.

To convert a percentage to a decimal, we divide the percentage value by 100. In this case, 30 divided by 100 equals 0.30.

If you were looking for a value that represents a 30% increase or an amount including a 30% addition, you would multiply the original value by 1.3, not 30%. For example, if you have a value of $100 and want to increase it by 30%, you would multiply $100 by 1.3, resulting in $130.

So, 30% is equivalent to 0.30 or 3/10, but not 1.3.

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Answer:

f = 10/3

Step-by-step explanation:

-15 + 6f = 5

-15 + 15 + 6f = 5 + 15

6f = 20

6f/6 = 20/6

f = 20/6 = 10/3 = 3.333...

Answer:

10/3

Step-by-step explanation:

-15+6f=5

6f=5-(-15)

6f=5+15

6f=20

f=20/6

simplify

f=10/3