18. Given that g(x) = -(x^2)/4, what is the value of g(+8) ?
F. -16
G. 4
H. -1
J. 4
K. 16
Answers
Answer:
F. -16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle g(x) = -\frac{x^2}{4}[/tex]
Step 2: Evaluate
Substitute in x [Function g(x)]: [tex]\displaystyle g(-8) = -\frac{(-8)^2}{4}[/tex]Exponents: [tex]\displaystyle g(-8) = -\frac{64}{4}[/tex]Divide: [tex]\displaystyle g(-8) = -16[/tex]Related Questions
A bicycle has a cash price of $319.95. It can be bought on hire purchase with a deposit of $69 and ten monthly installments of $28.50 each.
a. what is the total hire purchase price of the bicycle?
b. Find the difference between the hire purchase price and the cost price of the bicycle.
Answers
Answer:
a. $354
b.$34.05p
Step-by-step explanation:
10 monthly instalments
10x28.5=280
plus the deposit 280+69=354
The difference between 354 and 319.95 is 34.05
a. The total hire purchase price of the bicycle is $354.
b. The difference between the hire purchase price and the cost price of the bicycle is $34.05.
a. Total hire purchase price:Total hire purchase price=(10 months×$28.5)+$69
Total hire purchase price=$285+$69
Total hire purchase price=$354
b. Hire purchase price and cost price:Difference=$354-$319.95
Difference=$34.05
Inconclusion the total hire purchase price of the bicycle is $354 and the difference between the hire purchase price and the cost price of the bicycle is $34.05.
Learn more about hire purchase price here:https://brainly.com/question/24730392
if 6.2a=0.0143 then what is a?
Answers
6.2a = 0.0143
=> a = 0.0143/6.2
=> a = 0.0023......
PLEASE HELP
Chau made $234 for 18 hours of work. At the same rate, how much would he make for 8 hours of work?
Answers
Answer:$104
Step-by-step explanation:
$234 : 18h
$___ : 8h
You will cross multiply 234 and 8, then when you get you answer you divide it by 18 It's called CROSS MULTIPLY AND DIVIDE...
1. A researcher would like to compare the effectiveness of video versus reading for communicating information to adolescents. A sample of n1= 10 adolescents is given a pamphlet explaining nuclear energy and told that they will be tested on the information. A separate sample of n2= 10 adolescents is shown a video that contains the same information presented in a fast-paced visual form and told that they will be tested. One week later all 20 subjects are given a test on nuclear energy. The average score for the pamphlet group was 1= 51 with s12= 16. The video group averaged 2= 46 with s22= 20. Conduct a t-Test (two-tail, α = .05) for two Independent groups to see if there is a significant difference between the two groups (follow the Handout).
Answers
Answer:
There is significant statistical evidence to suggest there is a difference between the groups
Step-by-step explanation:
The number of adolescents in the sample that were given a pamphlet, n₁ = 10
The average score of those given a pamphlet, [tex]\bar x_1[/tex] = 51
s₁² = 16
The number of adolescents in the sample that were given a video, n₂ = 10
The average score of those given a video, [tex]\bar x_2[/tex] = 46
s₂² = 20
The alpha level of the test, α = 0.05
H₀ = No difference
Hₐ = Difference between the groups
The test statistic for the difference in mean is given as follows;
[tex]t=\dfrac{(\bar{x}_1-\bar{x}_{2})}{\sqrt{\dfrac{s_{p}^{2} }{n_{1}}+\dfrac{s _{p}^{2}}{n_{2}}}}[/tex]
Plugging in the values, gives;
[tex]t=\dfrac{(46-55)}{\sqrt{\dfrac{18 }{10}+\dfrac{18}{10}}} \approx -4.73[/tex]
The degrees of freedom, n₁ + n₂ - 2 = 20 - 2 = 18
The critical-t = 2.101
Therefore
Given that the test statistic is larger than than the critical-t, we reject the null hypothesis that there is no difference
Elena is trying to figure out how many movies she can download to her hard drive. The hard drive is supposed to hold 500 gigabytes of data, but 58 gigabytes are already taken up by other files. Each movie is 8 gigabytes. Elena wrote the inequality 8x + 58 ≥ 500 and solved it to find the solution x ≥ 55.25.
1.Explain how you know Elena made a mistake based on her solution.
2.Fix Elena’s inequality and explain what each part of the inequality means.
Answers
Answer:
x is 69.75
Step-by-step explanation:
8x+58>500
500-58
8x/8>558/8
x>
The area of the triangle below is 12 square inches. What is the length of the base?
Answers
Answer:
b = 8 in
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here A = 12 and h = 3 , then
[tex]\frac{1}{2}[/tex] b × 3 = 12 , that is
1.5b = 12 ( divide both sides by 1.5 )
b = 8
Area = 12 inches
Triangle area= (base • height) divided by 2
12= ( 8 • 3 ) divided by 2
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
x=57°
Step-by-step explanation:
the sum of the measures of the angles of a triangle add up to 180°.
it is given that there is a 33°, and a right angle which is 90°.
to find x:
x=180°-(90°+33°)
x=180°-123°
x=57°
Answer:
180° - 33° - 90° = 57°
x = 57°
someone plz help me!!
Answers
Answer:
P'=(0,3)
Step-by-step explanation:
P'=(-5+5, 7-4)
Please help I’ll give brainliest
Answers
Answer:
The rules for standard form are
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number)
I hope this helps
Answer:
False
Step-by-step explanation:
Please Mark me brainliest
has endpoints J(13, 8) and K(–6, –6). Find the coordinates of the midpoint of .
Answers
Answer:
the midpoint of it is 8,-6
Step-by-step explanation:
rhgsr egh
Math help please due today ill give you brainlist if correct !!!
Answers
Answer:
a. Vertical
b. Corresponding
c. Alternate exterior
d. Supplementary
e. 40 degrees
f. 40 degrees
Table
45 45 135
20 70 160
87 3 93
Step-by-step explanation:
a. Vertical angles are congruent and opposite each other.
b. Corresponding angles are congruent and are located in similar positions.
c. Alternate exterior angles are congruent and opposite each other when a line intersects two parallel lines.
d. Supplementary angles are next to each other and add to 180 degrees.
e. Supplementary angles. Subtract 140 from 180 to find <M.
f. Alternate interior angles. <X and <M are congruent.
Table
Complementary angles add to 90 degrees. Supplementary angles add to 180 degrees.
45 + 45 = 90
45 + 135 = 180
etc.
i need the base and hight
Answers
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
Given the following quadratic equation, find the average rate of change
for the interval (1,3]. *
f(x)= 3x^2
Answers
Craig threw a handful of identically shaped buttons into the air then collected 14 bottoms that landed on the carpet. Is this sample of the buttons likely to be biased yes or no
Answers
Answer:
possible?? but I think that there is a typo, and that there would not be a bias
Step-by-step explanation:
can we assume that there are no typos in the question
he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)
Select the correct answer.
What is a similarity between life insurance and property and casualty insurance?
A.
Employers usually provide both types of insurance.
B.
Both types cover lost income if you’re unable to work.
C.
Neither type offers benefits unless you suffer a loss.
D.
Neither type charges any premium after a certain period.
Answers
Answer:
C.
Step-by-step explanation:
The similarity between these types of insurance is that neither type offers benefits unless you suffer a loss. In either type of insurance you would either need to lose your life or lose a piece of property. It is then that the insurance company will pay what the insurance contract states. Until such a time that the loss is incurred, the insurance does not provide any benefit to you or your family members.
Answer:
C. Neither type offers benefits unless you suffer a loss.
Step-by-step explanation:PLATO
Direction: Fill the missing terms. Write your answer on the space provided.1. .An _______ is a data collection method where you as a researcher change somevariables and observe their effect on other variables.2. A __________ is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.3. __________, when you use this method, you meet with the respondents face to faceand ask questions.4. In an __________ method, the data from the field is gathered with the help ofobservation by the observer.5. ___________ is sent ( by post or by mail) to the persons concerned with a requestto answer the questions and return the questionnaire.6. ___________.It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.7. __________ It is very similar to the questionnaire method. The main differenceis that the schedule is filed by the enumerator who is specifically appointed for thepurpose.8. __________ One who goes to the respondents, asks them the questions from thequestionnaire in the order listed, and records the responses in the space provided.9. __________are those which have already been gathered by someone else andwhich have through some statistical analysis.10. . ___________ are those which are gathered for the first time and are original incharacter.
Answers
Answer:
An experiment is a data collection method where you as a researcher change somevariables and observe their effect on other variables.A surveys is a data collection method where you select a sample of respondentsfrom a large population in order to gather information about that population.☞☜ ☞☜ ☞☜ Data collection It is a process by which the researcher collects/gathers theinformation needed to answer the research problem.☞☜ ☞☜ Secondary data are those which have already been gathered by someone else andwhich have through some statistical analysis.Primary data are those which are gathered for the first time and are original incharacter.Step-by-step explanation:
lm.ao I don't know 3,4,5,7,8 I'm sincerely apologise for this!!
•| jess bregoli |•#keep learning!!
Answer:
Here is your Answer : )
Step-by-step explanation:
1. experiment
2. survey
3. Interview
4. observation
5. questionnaire
6. Data collection
7. Schedule
8. Manager
9. primary data
10. Primary data
Plz mark as brainiest this took long time
Hope U like it : )
Find the Surface Area of the composite figure acellus
Answers
Answer:
653 is the total suface area
Step-by-step explanation:
i have all the math in the note book but i can explain it very simply you find the area of the big base which is 120 the side of 12 which equals 84 and the side of ten which equals 70 and multiply them all by two which gives you 548 then you multiply the base of the small figure (only count one of the shapes bases btw) and that equals 9 the you find the sides which are 24 each this gives you 96 + 548 = 644 +9 = 653 and there is your answer
Answer:
644in~2
Step-by-step explanation:
acellus 2022 ;)
PLEASE HELP ME THANK YOU
Answers
Answer:
Step-by-step explanation:
That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.
Answer:
39deg
Step-by-step explanation:
What is the value of S4 for HURRY PLEASE !!!
Answers
Answer:
5 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
where a is the first term and r the common ratio
The expression inside the summation is
4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence
with a = 4 and r = [tex]\frac{1}{4}[/tex] , then
[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]
= [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]
= [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )
= [tex]\frac{21}{4}[/tex]
= 5 [tex]\frac{1}{4}[/tex]
what is the binomial expansion of (x+1)^5
Answers
Answer: "A"
somewhat of a trick question
use pascals triangle (or binomial expansion)
0-1
1-1,1
21,2,1
3- 1,3,3,1
4- 1,4,6,4,1
5- 1,5,10,10,5,1
NOTICE THAT "A" has the 1,5,10,10,5,1 in the 5th row
Step-by-step explanation:
If you put 700 into a savings account that's earns 1% interest compound monthly how much will you have in 5 years
Answers
Answer:
In 5 years I will have $ 1,151.71.
Step-by-step explanation:
To determine, if I put 700 into a savings account that's earns 1% interest compound monthly, how much will I have in 5 years, the following calculation must be performed:
700 x (1 + 0.01 / 12) ^ 12x5 = X
700 x (1 + 0.008333) ^ 60 = X
700 x 1.64530 = X
1,151.71 = X
Therefore, in 5 years I will have $ 1,151.71.
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1 /9 . There are 63 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answers
Answer: 7 red marbles.
Step-by-step explanation:
Since we are given the information that there are only red marbles and blue marbles in the bag and that the probability of randomly choosing a red marble is 1 /9 while there are 63 marbles in total.
Then the number of red marbles will be:
= 1/9 × 63
= 7
There are 7 red marbles
The number if blue marbles will be:
= 63 - 7
= 56 blue marbles
The quartile deviation and coefficient of quartile deviation of a continuous frequency distribution are 2 and 0.25 respectively. Find lower and upper quartiles.
Answers
Answer:
Lower quartile = 6
Uppwr quartile = 10
Step-by-step explanation:
Coefficient of quartile deviation = 0.25
Quartile deviation = 2
Coefficient of quartile deviation = (Q3 - Q1) / (Q3 + Q1)
Quartile deviation = (Q3 - Q1) / 2
Hence;
Quartile deviation = (Q3 - Q1) / 2 = 2
Q3 - Q1 = 2 * 2
Q3 - Q1 = 4 - - - - (1)
Q3 = 4 + Q1 - - - - (2)
(Q3 - Q1) / (Q3 + Q1) = 0.25
Q3 - Q1 = 4
4 = 0.25(Q3 + Q1)
Q3 + Q1 = 4 / 0.25
Q3 + Q1 = 16 - - - - (3)
Put Q3 = 4 + Q1 in (3)
4 + Q1 + Q1 = 16
4 + 2Q1 = 16
2Q1 = 16 - 4
Q1 = 12 / 2
Q1 = 6
Q3 = 4 + Q1
Q3 = 4 + 6
Q3 = 10
The weight of three articles is 856 kg. If two of the articles weigh 502kg, what is 1/2 the weight of the third article?
Answers
Answer:
177 kg
Step-by-step explanation:
Find the weight of the third article by finding the difference between 502 and 856, since 856 kg is the total weight and 502 kg is the weight of the other 2 articles:
856 - 502
= 354
Now, find 1/2 of the weight, by dividing this by 2:
354/2
= 177
So, 1/2 the weight of the third article is 177 kg
What is the slope and y intercept of the equation?
y=1/2x
m=
b=
Answers
⊹˚ʚ ❑Answer︰slope is 1/2 and y-int. is 0
✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D
Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?
Answers
Answer:
(a, b)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).
Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)
You are on a ship at sea. You see a lighthouse in the distance. You know the lighthouse is 145 feet tall. You measure the angle of elevation to the top of the lighthouse at 5 degrees. How far are you from the bottom of the lighthouse? *
Answers
Answer:
1657.14 ft
Step-by-step explanation:
Tan = opposite / adjacent
tan 5 = 145 / adjacent
0.0875 = 145 / adjacent
adjacent = 145 / 0.0875
= 1657.14 ft
Need help, please
Cyndi works in an office. She thinks that she spends 30 minutes in meeting for every 3 hours that she spends working at her desk. One week, she spends 3 hours and 15 minutes in meetings. Using Cyndi's timings above, work out how many hours she would have spent working at her desk?
Answers
Answer:
19.5 hrs
Step-by-step explanation:
30 minutes meeting for every 3 hours of work
10 minutes meeting for every 1 hour of work
15 minutes meeting of every 1 1/2 hour of work
3 hours meeting for every 18 hours of work
She spent 19 1/2 hours
A weatherman predicted 8 inches of snow would fall last night.
Instead, 20 inches of snow actually fell
What is the percent error of the prediction?
Answers
Answer:60%
Step-by-step explanation:
Which of the following is a quadratic function?
Answers
Answer:
A
Step-by-step explanation:
A
when multiplied out
the highest exponent of x is 2
y = 2x² + x - 6
Answer:
option A
Step-by-step explanation:
A quadratic equation is a single variable polynomial of degree 2.
[tex]A ) y = ( x + 2)(2x-3) = 2x^2 -3x +4x - 6 =2x^2 + x - 6 \ - Yes \\\\B) y = 3(x - 4) \ - No\\\\C) y = \frac{1}{x^2} \ - No\\\\D) y = x(x-4)(x+3) = x(x^2 -x - 12) = x^3 -x^2 - 12x \ - No[/tex]
