Answer:
a. -16 is the constant
b.if you expand the equation it would be x^2-16, and the constant is -16
Solving the expression (x + 4)(x - 4) ; the constant term in the expression is - 16 and not 0
To solve, we need to expand the expression : (x+4)(x-4)
Expanding the expression :
(x + 4)(x - 4)
Opening the bracket :
x² - 4x + 4x - 16
x² - 16
The constant term in the expression, is - 16 as it is the value without a variable.
Therefore, Tyler's mistake is incorrectly stating that the constant value is 0 instead of - 16
Learn more :https://brainly.com/question/18109354
A nutritionist wants to study the effects of storage time
(6, 12, & 18 months) on the amount of vitamin C present
in freeze dried fruit. Vitamin C is measured in milligrams
per 100 milligrams of fruit. Six fruit packs were randomly
assigned to each of the three storage times.
The treatment is ?
The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
Step-by-step explanation:16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
We calculate sample mean and std deviation from given data.
Sample Mean, =269.8/10=26.98
Sample Variance, =1859.496/9=206.610667
Sample std dev,s==√206.610667≈14.373958
We want to test two tailed hypothesis:
: σ=12
: σ≠12
Given: s=14.373958⇒ =206.610667,n=10
Significance level, a=0.1 Degrees of freedom, df=n-1=9
Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.
Critical values are given by with 9 degrees of freedom.
We can use chi-square table or following excel commands:
CHISQ. INV(0.95,9)=3.32511284307
CHISQ. INV (0.05,9)=16.9189776046
Critical Values, =3.325 and =16.919
Since this is two tailed test, the decision rule or rejection criteria is:
Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,
Reject if ≤3.325 OR ≥16.919
Test statistic is given by =((9)*206.610667)/144=12.913167
Test statistic, =12.913
since test statistic is between two critical values, we (do not reject ) (i.e, we fail to reject .
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .
Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject if p-value ≤0.1
P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9, TRUE ) 1-CHISQ.DIST 12.913167,9, TRUE ) =0.333149809868
P-value =0.3331
since p-value is greater than significance level (α),we (do not reject ) (i.e, we fail to reject ).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .
Ricky draws 24 cartoon Characters
every 3 minutes. Leo draws 28 cartoon
Characters every 4 minutes. Who draws
at a faster rate?
Answer:
Ricky
Step-by-step explanation:
24 divided by 3 equals 8 drawings per minute
28 divided by 4 equals 7 drawings per minute
Answer:
Ricky
Step-by-step explanation:
One way to solve this is finding out how many characters they draw per minute. In order to find this, you must divide the amount of cartoon characters by the time. For example, 24 divided by 3 is 8 and 28 divided by 4 is 7. Ricky draws 8 per min and Leo draws 7 per min. Therefore, Ricky draws at a faster rate. Hope this helps! :)
write an inequality to represent the product of x and 7 is at least 15
Answer:
[tex]7x\geq 15[/tex]
Step-by-step explanation:
This problem lays out pretty clearly what needs to be done.
First, we know that we are writing an inequality.
Then, it tells us that we need 'the product of x and 7'. A product is the result of multiplication, so we can multiply 7 and x together to get 7x.
Next, it tells us that the product (7x) is at least 15. At least means that the product has to greater than or equal to 15. That clue tells us which inequality symbol will be used.
Put it all together and:
[tex]7x\geq 15[/tex]
Hope this helped!
How do I graph this?
Answer:
So, in order to solve this, you need to know slope. Slope is equal to rise (up/down) over run (left/right). The number at the end, which in this case is 2, is the y-intercept. So, first, graph a point on the y-axis, which is 2. Next, you can place any other point on the line, as long as it follows your slope, which is 3/5. If you need a better explanation, just graph (0, 2) on the y-axis and also graph the point (3, 5).
Have a good one,
Philip
BRAINLIEST IS ALWAYS APPRECIATED! <3
Select the sequences that are geometric.
18, 36, 54, 72,...
4.1, 8.2, 16.4, 32.8,...
answer:
Both sequences are geometric
Step-by-step explanation:
because both have common differences of 2 times
Answer:
4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
Step-by-step explanation:
Given the first sequence
18, 36, 54, 72,...
we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).
Computing the ratios of all the adjacent terms:
[tex]\frac{36}{18}=2,\:\quad \frac{54}{36}=1.5,\:\quad \frac{72}{54}=1.33333\dots[/tex]
As the ratio is not constant.
Hence, 18, 36, 54, 72,... is NOT the geometric sequence.
Given the second sequence
4.1, 8.2, 16.4, 32.8,...
we know that the geometric sequence is the sequence that has the same common ratio 'r' (constant ratio).
Computing the ratios of all the adjacent terms:
[tex]\frac{8.2}{4.1}=2,\:\quad \frac{16.4}{8.2}=2,\:\quad \frac{32.8}{16.4}=2[/tex]
As the ratio of all the adjacent terms is the same (constant ratio).
Hence, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
Therefore, 4.1, 8.2, 16.4, 32.8,... is a geometric sequence.
im so counfused right now please help
For the equation 6 - m = 3, how many solutions are there for m?
0
1
infinite
2
Answer:
1.
Step-by-step explanation:
The only way to get 3 as an answer to (6-m) is if m were to equal 3. Think about how many numbers can you replace m with to make the statement true. For example, try putting 1 as your m and see if it works. 6-1=3 -> 5=3. as you can see, this statement isnt true. The only solution that would work to make this statement true is one number, 3. Hope this helps.
X-2
——=5
3
I am supposed to solve for x but I have no clue how
Answer:
4
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
Nice set up. It's very clear.
Multiply both sides by 3
3(x-2)
===== = 5 *3
3
Cancel the 3 on the left. Combine the right.
x - 2 = 15
Add 2
x - 2 + 2 = 15 + 2
x = 17
==============
(17 - 2) / 3
15/3
5
The right hand side is also 5
lol wanna help me im gunna cry
Answer:
no thanks
Step-by-step explanation:
i don't wanna help u nerd
Answer:
potato
yes potato
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
Answer:
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
Step-by-step explanation:
√5+√3 /√5-√3 + root 5 + root 3 upon root 5 minus root 3 + root 5 minus root 3 upon root 5 + root 3
Help with Geometry ,please
Answer:look at the angle bro and you got the angle just look at it good enough
Step-by-step explanation:
7) A different stock loses half of its value every 2 months. If the original price was $128,
how much is it worth after 14 months.
Find the slope of the line passing through the points (-5,3) and (-5,-7)
Answer:
The slope is Undefined.
Step-by-step explanation:
PLS IT'S DUE!!
The longer leg of a 30⁰-60⁰-90⁰ triangle is 5√3 . Find the length of the hypotenuse.
explain how you got it.
Answer:
The answer is 10
Step-by-step explanation:
The longer leg of this triangle is √3 times longer than the shorter leg. Since the longer leg is 5√3, then the shorter leg will be 5. The hypotenuse is twice the size of the shorter leg, so 5*2 is 10.
f(t) = t² – 2t; Find f(-7)
Answer:
f(-7) = 63
General Formulas and Concepts:
Order of Operations: BPEMDAS
Substituting and EvaluatingStep-by-step explanation:
Step 1: Define
f(t) = t² - 2t
f(-7) is t = -7
Step 2: Solve
Substitute: f(-7) = (-7)² - 2(-7)Exponents: f(-7) = 49 - 2(-7)Multiply: f(-7) = 49 + 14Add: f(-7) = 63Idk wby it sets it up so weird in word form so imma just put this here
Answer:
141/2, 279/4
Step-by-step explanation:
Answer: wow ur right like ummm
Step-by-step explanation: wby lol
WILL GIVE BRAINLYEST!!!!!!! PLEASE HELP!!!!
Find the slope of the line drawn on the graph. If your answer is a fraction, leave in simplified fraction form.
Answer: The slope would be 2/5.
Step-by-step explanation: To find the slope, it's rise divided by run. The 2 points on this graph are (-2,-1) and (3,1). So basically, change in y value, divided by the change in x value.
Pick an dinner for every single day?
Answer:
The last one please.
How did the temp. change if at first it increased by 25% and then decreased by 40%?
Answer:
The temperature would have dropped 15 degrees so it would have been colder
Step-by-step explanation:
The NBA regulations require the basketball court to be 132 feet long how many meters is the length of the court
Answer:
40.2336 meters
Step-by-step explanation:
Answer:
40.2336 meters
Step-by-step explanation:
Si nos situamos a 120 metros de distancia de un cohete, la vista hacia al extremo superior del mismo recorre un total de 130 metros. ¿Cuál es la altura total del cohete?
Answer:
creo que son 250
Step-by-step explanation:
Sonia bought $25 concert tickets online, and paid a total of $269. To purchase the tickets there was a service fee of $17. How many tickets did she buy? Make sure to write an equation!
Answer: This question is confusing because I can't come up with a whole answer because I don't see a way to get to it no matter how many different ways I try to solve it ;-; The closest I got was $267 with 10 tickets and the fee
Step-by-step explanation:
Hello!!!!! Could someone please explain to me in a simple manner what the slope intercept form is as well as what the point slope form is? Are they the same thing? What does form mean? Thank you soooo much in advance!!!
Answer:
Step-by-step explanation:
They're both ways of expressing the equation of a line. Depending on the information you're given, it's easier to use one or the other. Like if you're given the slope and y intercept, it might be easier to use slope intercept equation. If you're given 2 points on a line, it might be easier to calculate the slope between them and then use the pointslope equation using one of the two points given to find the euqation of the line. Let me know if there's more I need to clarify
Find the 74 thterm of -19, -14, -9, -4, ..
-0.9 -0.4. Make sense at all???
Kayla works in a shoe store and is paid a 12% commission on her sales. In January, her sales total was $3,740. About how much did Kayla earn in commission for January?
Answer:
Kayla had $3,740 x .12 = 448.80 by January.
Step-by-step explanation:
Graph the line.
y=-2x-3
please please hurry! 15 points
Answer:
you want to put your first pint at negative 3 on the Y axis. and then you want to go down 2 and right 1 to crest your slope.
Which expression is equivalent to 350−−√⋅22−−√?
1522−−√
1511−−√
3022−−√
3011−−√
Answer:
it looks like d to me
Step-by-step explanation:
Answer:
The answer is D. [tex]30\sqrt{11}[/tex]
good luck!
someone knows what number multiplied twice by the same can give me results 1109 helpppp! Plis
Answer: Hey! no need to fret ok so your trying to find what multiplied by itself would get 1109. Make an algebra equation and solve for x:
x • x = 1109
x ≈ 33.302
Step-by-step explanation:Hoped I helped! Have a great day and put this on brainliest please. Thank you!
what is the difference b/w matrix and vector
Answer:
Matrix is array of number while vector is a list of numbers
Answer:
a vector is a form of a matrix having one row or one column or just say a "vector" is a list of values, a "matrix" is a table (or list of lists.................
Step-by-step explanation:
Shalah mowed 12 lawns in 3 hours. What is her RATE? *
help me plz
Answer: I think the answer is 4 because usually when you find the rate of something it means you divided the two numbers or however many numbers you have... So, 12 divided by 3 is 4... So, 4 hours for each lawn she mows... or something like that... So, 4 lawns per hour...
Final answer is 4 lawns per hour... If this isn't the correct answer i am very sorry... Stay safe and have a great weekend!!! :D
Answer:
4 lawns per hour
Step-by-step explanation:
4 lawns per hour or 1 lawn per 15 mins.
12/3 is the unit rate so 4/1.
Hope this helps plz hit the crown :D
CAN SOMEONE HELP ME ! Please and thank you.
A car dealership likes to have 4 blue cars on the lot for every 3 white cars. At this rate, how many white cars will be on the lot when there are 16 blue cars?
Answer:
12 white cars
Step-by-step explanation:
Our ratio is 4:3
16:?
We can determine white cars by dividing 16/4 to find how many more cars we have than our original ratio.
16/4 = 4
3 x 4 = 12
16:12 = 4:3
Answer:
Step-by-step explanation:
15