What is the solution to the equation x2 = 16? Explain.

Answers

Answer 1

Answer:

x = ±4

Step-by-step explanation:

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4


Related Questions


the price of gasoline rose from $3.59 to $3.71 in one week. By what percentage did the gas price rise?​

Answers

I think the answer would be 3.2%. The gas rose 12 cents and if you find what percent 0.12 is of 3.71, you get 3.2%. I’m not completely sure about this, please let me know if I’m wrong!

Determine if the three lengths can be the measures of the sides of a triangle.

20 ft, 16 ft, 38 ft

Answers

Answer:

No

Step-by-step explanation:

No because if you have 38 on the bottom, 20 and 16 do not add up to 39 or more.

Do this word document and just add it into the question please it's urgent

Answers

• State whether the figure appears to have line symmetry. Write yes or no. If so, draw all lines of symmetry and state their number.

•State whether the figure has rotational symmetry. Write yes or no. If so, locate the center of symmetry, and state the order and magnitude of symmetry.

yes,oneyes, 5NoNoyes ,8 ,45°nonoyes ,one ,180°

Please answer the following question:
A pen costs $2.09. It costs $0.45 less than a marker. Ken paid for one pen and one marker with a five-dollar bill. What is his change? If you can answer this thank you, you may use a tape diagram with caculations to determine his change.

Answers

Answer:

His change would be $1.27 because he paid $3.73 for the pen and marker.

Step-by-step explanation:

Help please and show work

Answers

Answer: i think that jacks volume would be 24 i think jills is 882 i believe but i may be wrong

Step-by-step explanation:

PLZZZZZ HELP ME I WILL MAKE YOU BRAINLIEST ANWER PLZZZZZ THANKYOU!!!!!!

Answers

Answer:

Step-by-step explanation:

For the first one here is the answer:

Given.

Transitive property of equality- this is becasue the rule is if A=b and B=c then A=c. IN this situation its saying that a is parrelel to b and b is parralel to c therfore a is parrelel to c.

line A and d cross over at 90 degree angles making them perpendicular. -There should be a rule for this and if there is then write that rule down

Second answer:

Given.

Definition of a  supplementary angle.

Definition of a supplementary angle

Definition of supplementary angles.

Alternate Exterior Angles Theorem

C=D

-Srry for the definiton of supplementary angles thing but thats the best answer for those.

Hope i helped

A car was travelling at a speed of 90km/h. What was its speed in m/s?​

Answers

To convert km/h to m/s multiply by 5/18
90 km/h = 90 * (5/18)
= 5*5
= 25 m/s

If the millers spend $1400 on housing, then what is their total budget?

Answers

Answer:

need more detail

Step-by-step explanation:

Х
If two lines do not intersect, then
they are parallel.

Answers

If it is not intersect they are not parallel

Cos(90-2x) . tan(180+x) + sin^2(360-x)​

Answers

Answer:

Step-by-step explanation:

Cos(90-2x) . tan(180+x) + sin^2(360-x)​

= sin(2x) * tan(x) + sin²(x)

= 2sin(x) cos(x) sin(x)/cos(x) + sin²(x)

= 2sin²(x) + sin²(x)

= 3sin²(x)

Solve the formula for the specified variable v=ypu for y

Answers

Step-by-step explanation:

[tex]v = ypu \\ v = y \times p \times u \\ dividing \: both \: sides \: by \: p \times u \\ we \: get \\ \frac{v}{p \times u} = \frac{y \times p \times u}{p \times u} \\ by \: simpliphying \\ \frac{v}{pu} = y \\ hence \\ y = \frac{v}{pu} [/tex]

Rashaad owns a small business selling used books. He knows that in the last week 13 customers paid cash, 50 customers used a debit card, and 53 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.

Answers

Answer:

25/58

Step-by-step explanation: Ok, your step one should be to add all the previous customer values together to see what the total pool of values is. 13+50+53=116, this becomes your denominator. Then, you see that out of these 116 customers in the past week, 50 used a debit card. So based on this data, we can assume that 50 out of every 116 customers will use a debit card. The fraction is thus 50/116. Then it needs to be simplified. Divide the numerator and denominator by 2, and BAM 25/58 is your final answer.

Probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes for a given event."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Given,

Number of customers paid through cash = 13

Number of customers paid through debit card = 50

Number of customers paid through credit card = 53

Total number of customers = 13 + 50 + 53

                                             = 116

Substitute the value in the formula we get,

Required probability =  (50 / 116)

                                   = (25 / 58) (simplest fraction form)

Hence, probability that next customer will pay with debit card is (25 / 58) (simplest fraction form).

Learn more about probability here

https://brainly.com/question/11234923

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Pleasee helpp

Write a^3 •a^4 without the exponents

Answers

Answer:

a x a x a x a x a x a x a

Step-by-step explanation:

a^3 is three a's being multiplied by each other. a^4 is four a's being multiplied by each other

Mei tapes two pieces of paper together that each measure 30.45
centimeters. They then cut off 10.42 centimeters.

Answers

Answer: 50.48

Step-by-step explanation: 30.45 x 2 (cuz theres 2 pieces of paper) = 60.9

60.9 - 10.42 = 50.48



Use a graphing calculator or other technology to answer the question.

Which quadratic regression equation best fits the data set?




yˆ=1568.064x2−115.264x+2.608

yˆ=2.608x2−115.264x+1568.064

yˆ=2.608x2+115.264x+1568.064

yˆ=2.608x2+112.909x+1568.064

x y
15 423
17 398
19 308
20 255
21 297
25 365
29 401

Answers

Answer:

yˆ=2.608x2−115.265x+1568.065

Step-by-step explanation:

I took the test.

The quadratic regression equation best fits the data set is 2.608x²  -155.264x + 1568.064 option second is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the quadratic regression equation best fits the data set:

y = Ax² + Bx + C

From the data set, we can calculate the value of the A, B and C:

A = 2.608

B = -155.264

C = 1568.064

y = 2.608x²  -155.264x + 1568.064

Thus, the quadratic regression equation best fits the data set is 2.608x²  -155.264x + 1568.064 option second is correct.

Learn more about the line of best fit here:

brainly.com/question/14279419

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Can someone please help me with this.

Suppose that hothotdogs came in packs of 6 and buns came in packs of 9. Deon bought the same number of hotdogs as buns. It was the least number for which this is possible.

How many hotdogs did he buy?

How many packs of hotdogs did he buy?


How many packs of buns did he buy?

Answers

Answer:

54

Step-by-step explanation:

First we multiply 6 x 9 to get 54 so that's all.

How many three-digit even numbers are possible if the leftmost digit cannot be zero?

Answers

Answer:

  450

Step-by-step explanation:

There are 900 3-digit numbers in the range 100–999. Of those, exactly half are even numbers.

There are 450 even three-digit numbers.

thanks again for the help everyone ​

Answers

Answer:

[tex]\sf{ (z-7)(z-2)}[/tex]

explanation:

[tex]\sf z^2 - 9z + 14[/tex]

break down, (7 * 2) = 14

[tex]\sf z^2 - 7z - 2z + 14[/tex]

collect in parenthesis

[tex]\sf z ( z - 7 ) -2(z - 7)[/tex]

collect in groups

[tex]\sf{ (z-7)(z-2)}[/tex]

Please help with this problem.

Answers

Step-by-step explanation:

you should have measured the lengths of the sides and added that information here to the picture.

because we here cannot measure this from a picture that is inclined and has no size scale.

I can give you a hint how to get the angles, when you have all 3 sides :

start with the extended Pythagoras for non right-angled triangles:

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of the angle you are aiming for.

then

2ab×cos(C) = a² + b² - c²

cos(C) = (a² + b² - c²)/(2ab)

for example, to get the angle at T, its opposite side is SE.

cos(T) = (ST² + ET² - SE²)/(2×ST×ET)

you can do the same thing for all 3 angles (you need to always pay attention to what sides you have to use in what combination for the angle).

or you can switch after getting the first angle to the laser of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the sides and the disposing angles are always opposite of each other.

for your triangle that looks like

ET/sin(S) = ST/sin(E) = SE/sin(T)

from there (once you have one angle via the Pythagoras approach) you get all other angles.

3/8 + 1/8 - 2/7 + 1/4 equals

Answers

Answer:

Step-by-step explanation: 37/56

Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15).

a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcherâs contention.
b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard deviation of Ï = $1600 may be assumed. What is the p-value?
c. At α = .05, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.

Answers

Answer and Step-by-step explanation:

Solution:

Develop hypothesis:

H₀ : µ ≥ 1056

H₁ < 1056

Given:

n = 400

ẋ = 910

∂ = 1600

a = 0.05

The sampling distribution of sample means µ and standard deviation ∂ / √n.

Z = ẋ-µ /∂ / √n.

  = 910 – 1056 / 1600 /√400.

 = - 1.83

Probability: p = p(z< -1.83) = 0.033

At a = 0.05

If p value is smaller than significance level a, then hypothesis is rejected.

P < 0.05 its means H0 rejected.

Hypothesis test using critical value:

The critical value corresponding to probability of 0.05:

Z = -1.645

The rejection region, then contains all values smaller than -1.645.

If value of test statistics is within the rejection region, then null hypothesis rejected.

-1.83 < -1.645

Rejected H

Enya walked 2km 309m from school to the store. Then, she walked from the store to her home. If she walked a total of 5km, how far was it from the store to her home?

Answers

Answer:

2 km 691 m

Step-by-step explanation:

5 km - 2 km 309 m

= 5000 m - 2309 m

= 2691 m

= 2 km 691 m

Pls help me
Question 4 Part C (3 points): Based on the composite function you created in part A, determine how many trees Carlos can expect to have after 22 days. Click the included image to refer back to Part A as needed.
The composite function is 20d-(80) = 67


A.86 trees in 22 days
B.440 trees in 22 days
C.1340 trees in 22 days
D.1360 trees in 22 days

Answers

Answer:

C)  1340 days

Step-by-step explanation:

The composite function you have given is incorrect.

The composite function for this question is:

t(d) = 60d + 20

(as I have proven in a previous question)

Substitute d = 22 into the function:

t(22) = 60(22) + 20

        = 1320 + 20

        = 1340 days

determine the rate of change from the two points (3,4)(5,8)​

Answers

Answer: 2

Step-by-step explanation:

8 - 4 = 4

5 - 3 = 2

4/2 = 2

Answer:

2

Step-by-step explanation:

the rate of change or slope from the given two points is rise over run.

(3, 4) (5, 8)

slope = (y2 - y1) / (x2 - x1)

         = (8 - 4) / (5 - 3)

         = 4 / 2

         = 2

49. Find the m a. 60°
c. 300
b = 13
b. 75°
d. 73°
47
B.
c=17

Answers

Answer:

C. 30°

Step-by-step explanation:

thank you for the points make me brainliest please.

Can someone help me plzz I need the answer plzzz

Answers

Answer:

translation of 8 units to the left

Step-by-step explanation:

the x coordinate change by -8 so that is 8 units to the left

Find the degree of this polynomial.
-7d

Answers

Hey there!

The degree is the exponent.

Let me explain with examples.

Suppose we have a polynomial 4d.

Its degree is 1 (it's a first degree polynomial)

What is the degree of the polynomial 4d²?

That's right, this is a second-degree polynomial.

And so on...

Let's look at our polynomial.

We have

-7d.

What is the degree of the polynomial?

That's right, 1.

Hence, -7d is a

[tex]\boxed{\boxed{\bold{first-degree~polynomial}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\bold{Don't~give~up...}[/tex]

The lines represented by the equations y = -X – 3 and
5y + 5x = -15 are
neither parallel nor perpendicular
Submit Answer
the same line
parallel
perpendicular
What is the answer?

Answers

Answer:

The lines represented by the equations y = -X – 3 and

5y + 5x = -15

Step-by-step explanation:

neither are parallel nor perpendicular

Submit Answer

the same line

parallel

perpendicular

What is the answer?

if i use elmer's glue for my fake nails will they stay

Answers

No they will pop off very fast it’s not even worth trying

Answer: Yes maybe for about 3-4 days then they will fall off

Step-by-step explanation: my little sis did it

2x+3y=11
10x+5y=20
Simple equation

Answers

Answer:

2x+3y=11. x=4 and y=1.

10x+5y=20. x=1 and y=2.

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