What is the missing constant term in the perfect square that starts with x2 + 18x

Answers

Answer 1

Answer:

81

Step-by-step explanation:

Take half of the x-term coefficient, and square it.

Half of 18 is 9.

9² = 81

Answer: 81


Related Questions

Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip

Answers

Answer:

$31.92

Step-by-step explanation:

28.50 x .12 = 3.42

3.42 + 28.50 = $31.92

The total cost is thirty-one dollars and ninety-two cents, which includes a tip of three dollars and forty-two cents. Here’s one way to find these amounts.

Let’s set up a proportion. We can substitute the amounts we know into the proportion.  

Now, we cross multiply. Amount of tip times one hundred equals twenty-eight dollars and fifty cents times twelve.  

Then, we divide both sides of the equation by one hundred. The total cost is the food cost plus the amount of the tip. So, the total cost of the meal is thirty-one dollars and ninety-two cents.

What is 3.50 rounded to the nearest whole ounce?

Answers

Answer:

4.00

Step-by-step explanation:

because it is rounding to the whole number

Answer

if 3.50 refers to ounces, it would round to 4.

Step-by-step explanation:

find the area of each of the following polygons. aj 1 cm b) 1 cm c 1 cm 1 cm​

Answers

Answer:

1 cm

Step-by-step explanation:

Are the ratios 8:10 and 4:5 equivalent?

Answers

Answer:

yes the ratio are equivalent

Answer:

yes they are egivalent

Step-by-step explanation:

14.
Jan spent 3 hours doing homework last week.
She spent 5 hours doing homework this week.
How many more hours did Jan spend on homework
this week than last week?
A. 1 hour
B. 1 hour
D. 11 hours
C. 14 hours

Answers

Answer:

D. [tex]\mathrm{1\frac{1}{2}\:hours}[/tex]

Step-by-step explanation:

As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.

This week should be at first, and last week should be after the minus sign.

[tex]5\frac{1}{4} - 3\frac{3}{4}[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}[/tex]

[tex]5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}[/tex]

[tex]\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}\\\\21-15=6[/tex]

[tex]\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}[/tex]

Calculate the slope of the line for Graph C.

Answers

Answer:

[tex]- \frac{5}{4}[/tex]

Step-by-step explanation:

Use the slope form:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m = slope

Let:

[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (-6 , -3)[/tex]

Plug in the corresponding numbers to the corresponding variables, and solve:

[tex]m = \frac{-3 - (-8)}{-6 - (-2)} = \frac{-3 + 8}{-6 + 2} = \frac{5}{-4} = -\frac{5}{4}[/tex]

[tex]- \frac{5}{4}[/tex] is your answer.

Answer=-5/4
(-6,-3) (-2,-8)
Y1-Y2/X1-X2=
The slope formula

Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:

Answers

A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

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16+4(q+11)+10q simplify

Answers

Answer:

Dogodgo

Step-by-step explanation:

I WILL GIVE BRAINLIEST

Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, or no solution. Explain your answers.
(a) 2x + 4 (x - 1) = 2 + 4x
(b) 25 - x = 15 - (3x + 10)
(c) 4x = 2x + 2x + 5 (x - x)

Answers

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions

30233088 in index form

Answers

Answer:

3.0233088 x 10 raise to power 7

I need help I don't understand​

Answers

Answer:

2nd one

Step-by-step explanation:

I know this because I learned about this

Find the total surface area of this triangular prism.

Answers

Answer:

look at the photo.....................

The surface area of the given triangular prism = 920 square cm.

In the given triangular prism

S1 = 25 cm

S2 = 25 cm

S3 = 14 cm = base

Height = 24 cm

length = 10 cm

Perimeter = S1 + S2+ S3

                 = 25+25+14

                 = 64 cm

Area of base =  length x base

                      = 10x14

                       = 140 square cm

Since we know that,

Surface area of triangular prism = (Perimeter × Length) + (2 × Base Area)

                                                     = (64x10) + 2x140

                                                     = 640 + 280

                                                     = 920 square cm

Hence,

The required surface area =  920 square cm.

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What is the meaning of the statement ((30) =76?

Answers

Answer:

A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F

B) [tex]f(x)=-0.4x+88[/tex]

Step-by-step explanation:

A)

In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.

So we have:

x = minutes after the air conditioner started to cool the house

f(x) = temperature

Here we want to find what is the meaning of

[tex]f(30)=76[/tex]

Which implies that:

[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house

[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F

So, the interpretation of f(30) =76 is that:

"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"

B)

Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.

We know the following information:

- At time x = 0, the temperature inside the house is 88°F

- At time x = 30 min, the temperature inside the house is 76°F

We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:

[tex]f(x)=mx+q[/tex]

where

[tex]q[/tex] is the value of the temperature at x = 0, so q = 88

m is the rate of change of the temperature

The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:

[tex]m=\frac{76-88}{30-0} =-0.4[/tex]

which means that the temperature decreases by 0.4°F every minute. So, the function can be written as

[tex]f(x)=-0.4x+88[/tex]

How many football fields are 1.4 billion acres

Answers

Answer:

67760000000

Step-by-step explanation:

A political strategist surveyed 100 people asking
their opinion about a new proposal. The results
are summarized in the contingency table.

Answers

Answer:

A) 24

B) 12

C) 54

Step-by-step explanation:

a+33=57

a=57-33

a=25

b+19=31

b=31-19

b=12

c=33+12+9

c=45+9

c=54

The value of A , B and C is 24, 12 and 54 respectively.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total= Men + Women

First, 57 = A + 33

A= 57- 33

A= 24

Second, 31 = 19+ B

B= 31- 19

B = 12

Third, 100= 46+ C

C= 100- 46

C= 54

Hence, the value of A , B and C is 24, 12 and 54 respectively.

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ASAP!! Use the slope formula to find the slope of the line passing through the points ( -66) and ( 3,3) . Use pencil and paper. Find two more points that the line passes through.
The slope of the line is

Answers

Answer: y = -66x + 201

Step-by-step explanation:

sale 90%Luca buys a swing set during the sale. If the original price was $270, how much does Luca pay?

Answers

Answer:

$243

Step-by-step explanation:

The sum of two numbers is x . If one of the numbers is 12, what is the other?

Answers

Answer:

x-12

Step-by-step explanation:

let us say that the other number is n. then we have n+12=x or n=12-x

i just want to make question of this simplify plz solve question fast​

Answers

Answer:

I believe 100

Step-by-step explanation:

He had 18 then got 32 from his mom leaving him with 50 and tripled it so 150 and he gave 25 to both his sister so 25+25=50 so 150-50=100

please give brainliest

1) The measures of the angles of a triangle are in the ratio of 1:3:6. What are the measures of the angles?
1:
3:
6:

Answers

Answer:Answered 2 years ago. The total of the sum of the measures of any triangle has been proven to be 180 degrees. If the ratio of angle measure is 1:3:6.

Step-by-step explanation:

Answer:

1: 18 3: 54 6: 108

Step-by-step explanation:

A triangle has 180 degrees.

You need to add up all the ratios 1+3+6

Then divide that by 180----> 180/10=18

Then multiply all the ratios by but answer(18)

1*18=18

3*18=54

6*18=108

PLS HELP ASAP ITS AN EMERGENCY ITS DUE IN A FEW HOURS THANKS

Answers

Answer: -8

Step-by-step explanation:

-8+22=14

Has to be less than 14 so the value has to be less than -8

what is the answer Factorise: 2x² +7x+6.

Answers

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

Answer:

11[tex]x[/tex]+6

Step-by-step explanation:

2[tex]x^{2}[/tex]= 4[tex]x[/tex] because 2 *2 = 4 + x = 4[tex]x[/tex]

since 7[tex]x[/tex] is a like term we add it to 4[tex]x[/tex] and it becomes : 11[tex]x[/tex]

Since 6 does not have a variable we do not add anything to it so, it stays the same and the simplified expression becomes : 11[tex]x[/tex] + 6

expand and simplify in its simplest form (x+7)(x-2)

Answers

Answer:

[tex](x + 7) - (x - 2)[/tex]

x²-2x+7x-14

Answer:

x2+5x-14

Step-by-step explanation:

Find x-intercept and y - intercepts of y = 6x – 1

Answers

Answer:

Look at photo

Step-by-step explanation:

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Rashaad measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.

Answers

The given question is on trigonometry which requires the application of required function so as to determine the value known. So that the length of the guy wire is 67.0 feet.

Trigonometry is an aspect of mathematics that requires the application of some functions to determine the value of an unknown quantity.

Let the length of the guy wire be represented by l, and the angle that the guy wire makes with the stake be θ. So that applying the appropriate trigonometric function to determine the value of θ, we have:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

          = [tex]\frac{11}{4}[/tex]

Tan θ = 2.75

θ = [tex]Tan^{-1}[/tex] 2.75

  = 70.0169

θ = [tex]70^{o}[/tex]

Considering triangle formed by the tower and the stake to determine the value of l, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]70^{o}[/tex]  = [tex]\frac{23}{l}[/tex]

l = [tex]\frac{23}{Cos 70^{o} }[/tex]

 = [tex]\frac{23}{0.3420}[/tex]

l = 67.2515

l = 67 feet

The length of the guy wire is 67 feet.

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A square has a side length of 36 feet. This square is dilated by a scale factor of 23
2
3
to create a new square. What is the side length of the new square?

Answers

You can’t make another Square because you can’t multiply number that give you 23

Answer:

24

Step-by-step explanation:

I answerd it on ttm and got it right

8+6(1/2 +5) divided by 2 plz i need help ill give u brainlyest (plz show how to do it as well)

Answers

The answer is 21.75........

Answer:

24.5

Step-by-step explanation:

8+6(1/2 +5) divided by 2

what is the decimal of 967.567

Answers

Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

Please help me with this question. I don't think I understand it. Quadratic functions graphing #15-19.

Will pick brainliest answer, thank you :)

Answers

Answer:

15) (1, 1) and (-1, 1)

16) (1, 2) and (-1, 2)

17 (1,1/2) and (-1, 1/2)

18) (1,1/4) and (-1, 1/4)

19) 16 is vertical stretch, 17 and 18 is vertical compressed

Step-by-step explanation:

for qs 15-18 since x is 1 or -1 if you sq 1 or -1 you will always get 1

so y is the "a" value in the equation  y=ax²

for qs 19

y=ax²

so if a>1 -- then vertical stretch

when 0<a<1 -- then vertical compressed

   

A water hose has a flow rate of 12 gallons per minute. How many minutes will it take to fill up a pool that holds 30 cubic feet of water. One cubic foot equals 7.48 gallons. Round to the nearest minute.

Answers

Answer:

19 minutes

Step-by-step explanation:

30 ft³ = 224.4 Gallons

224.4 gallons / 12 gallons/min

18.7 min

round -- 19 minutes

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