Solve the equation by completing the square.
a2 - 14a - 32 = 0

Answers

Answer 1

Answer:

a=16,-2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for a by using this term to complete the square.


Related Questions

3x = 42 solve for x show work plz

Answers

Answer:

14

Step-by-step explanation:

3x=42 d. b. s by 3

3x/3=42/3

x=14

what is the equivalent fractions for 3/6 and 4/6

Answers

Answer: 1/2 and 2/3

Step-by-step explanation:

and the black flaure the ima Name a possible rotation and the degree in which it turned

Answers

Answer is in the file below

tinyurl.com/wpazsebu

What is the lowest term of 75/60 as an improper fraction?

Answers

75/60 = 15/12 = 5/4. This is the lowest term

Answer:

The lowest term 75/60 as an improper fraction is 5/4.

the mean age of swimers for all of these teams is 10. what does a large mad tell you.eade help​

Answers

Answer: Larger the MAD tells us that the ages of swimmer are far from the mean age. Thus means is not a relevant indicator for the data.
Step-by-step explanation:
We know that the mean absolute deviation (MAD) helps to know whether the mean of a data is a worthy indicator for the data values .
The larger the MAD tells us the values are spread out far from the mean .
Also, larger the MAD makes the mean less worthy as an indicator of the data elements within the data set.

Find the area of the shaded polygons

Answers

Answer:

8

Step-by-step explanation:

you can find matches that make 1 and add them all up

Answer:

8 because of rsm

Step-by-step explanation:

Which is the graph of f(x) = 3^x.

Answers

it will be the one that looks like this

Jessica goes out to eat at a restaurant. The meal costs $18.40, and Jessica wants to leave a tip that is StartFraction 3 over 20 EndFraction of the cost of the meal. How much should Jessica leave for the tip?

Answers

Answer:

$20.00

Step-by-step explanation:

Answer:

20.00 trust me

Step-by-step explanation:

Ran has 17 cameras to clean. He cleans 10 cameras.Then rah finds 8 more cameras to clean. How many cameras does ran has to clean now?

Answers

Answer:

total of 25 to clean.

did 10

has 15 left

Answer: 15

Step-by-step explanation:

Ran Needs to clean 17 cams... he already cleaned 10, so subtract 17-10... it would be 7

he finds 8 cams to clean... so we add 8+7... and it becomes 15...

brainliest appreciate

Mrs jones uses 1/2 of a block of cheese to make packed lunches each day. how many days will 3 blocks of cheese last for?​

Answers

Answer:

6 days

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

1 day=1/2

2 day=1

3 day=1 and 1/2

4 day=2

5 day=2 and 1/2

6 day=3

hope this helps :)

Derek answered 42 out of 60 questions correct on the last test. What was his score as a percent?

Answers

Answer:

70%

Step-by-step explanation:

42/60 = 7/10

Question 2 of 20 -
2020-2021 T-Mat
What is the area of the shape below?
6 yd
4 yd
5 yd
9 yd

Answers

Answer:30

Step-by-step explanation:

Please help me !!!!!!!!!!!!!

Answers

umm i would not trust that file

what is 3/10(x+2)=12

Answers

X=38

Hope I helped :]

solution...


x=38 it takes a few steps to get the answer

bir bidonun 2/7 si dolu iken içinde 4 litre su bulunuyor bidon kaç litre su alır ​

Answers

Answer:

The canister hold water = 14 litres

Step-by-step explanation:

Given - While 2/7 of a canister is full, it has 4 litre water in it.

To find - How many litres of water does the canister hold?

Proof -

Given that,

When is canister is [tex]\frac{2}{7}[/tex] full , Total water = 4 litre

⇒If the canister is full , Total water = 4×[tex]\frac{7}{2}[/tex] litre

                                                         = 2 × 7 = 14 litres

⇒The canister hold water = 14 litres

HELP PLS WUICK! GIVING OUT BRAINLIST

Answers

You multiply the area of the triangle by 2

Answer:

27

reason:

did it recently

You are going on a long trip and wants to calculate your miles per gallon. When you start your trip your odometer read 91709 miles. At the end of your trip your odometer reads 91961 miles. You started with a full tank and to return you put 7 gallons of gas total. What is your miles per gallon?

Answers

Answer:

36 miles per gallon

Step-by-step explanation:

91961 - 91709 = 252 miles driven

252 miles / 7 gallons = 36 miles per gallon

Sarah has 31.2 pounds of dog food. She divides the food into bags that will hold 5.2 pounds each.

How many bags will Sarah fill with dog food?

Answers

Answer: 6

Step-by-step explanation:u divide 31.2 and 5.2

19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.19a. Describe the shape of the sampling distribution of the sample mean in this case.19b. Find the mean and standard error of the sampling distribution of the sample mean.19c. What is the probability that the mean age exceeds 73 years

Answers

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 50 retirees

This means that [tex]n = 50[/tex]

Mean age and standard deviation are 75 and 6 years

This means that [tex]\mu = 75, \sigma = 6[/tex]

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{73 - 75}{0.8485}[/tex]

[tex]Z = -2.36[/tex]

[tex]Z = -2.36[/tex] has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

Mean: 10

Median: 10.5

Mode: none

Step-by-step explanation:

there is no mode, mean is 10 and median is 10.5

I need the scale factor of this please, its due today:)

Answers

Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!

Step-by-step explanation:


plzzzz help will
get brainliest

Answers

B, since if you plug in all of the numbers from the x side of the table you will get the numbers on the y side of the table

Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *

Answers

Yes. It would be a reflection over the line.

A number greater than or equal to 41.

Answers

Answer:

42

Step-by-step explanation:

¯\_(ツ)_/¯

Trevor is going to a baseball game next Saturday with some friends. He has $50 to spend. His ticket will cost $15 and hot dogs will cost $2.75 each.

What is the greatest number of hot dogs he can buy for himself and his friends?
A.10
B.11
C.12
D.13

Answers

Answer:

C. 12

Step-by-step explanation:

50-15=35

35÷2.75=12.7272

For Gianna's lemonade recipe, 8 lemons are required to make 10 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answers

Answer:

4   5

8    10

24     30

Step-by-step explanation:

The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?

Answers

Answer: Letter B)

A=πr2

d=2r

A=1

4πd2=1

4·π·162≈201.06193

Step-by-step explanation:

Hope this Helps! : )

B

Your answer is B, your welcome.

GEOMETRY!!! Will give brainliest

Answers

Answer:

circle

Step-by-step explanation:

The answer to the question is aqua

Pleaseee I need this now!

Answers

Answer:

54000 cube cm

Step-by-step explanation:

Let height be the height of the box kite,

Also the length of one face = 30 cm,

Hence, the total area of the kite box that is covered by the fabric

= 4 × Area of one face

= 4 × 30 × height

= 120 h

According to the question,

120 height = 7200

height = 60 cm

Hence, the height of the box = 60 cm,

The volume inside the kite = The base area of the box × Its height

= 30² × 60

= 900 × 60

= 54000 cm³

Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places

Answers

Answer:

[tex]\frac{13}{204}[/tex] ≈ 0.0637

Step-by-step explanation:

Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.

To find: probability of choosing a heart and then, without replacement, a spade

Solution:

Probability refers to chance of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of outcomes

Total number of cards = 52

Number of hearts = 13

So,

probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]

Number of remaining cards = [tex]52-1=51[/tex]

Number of spades = 13

Probability of choosing a spade = [tex]\frac{13}{51}[/tex]

Events consisting of choosing a heart and spade are independent.

So,

Probability of choosing a heart and then, without replacement, a spade =

Probability of choosing a heart × Probability of choosing a spade

= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637

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