Answer:
2 3/4
Step-by-step explanation:
x = 1/4
y = 1/2
so we have to plug in these numbers wherever we see x and y
2 (1/16 + (1/4)^2) + 5(1/2)
using pemdas we solve what's in the parenthesis first
(1/16 + (1/4)^2) = (1/8)
next is multiplication so
2 (1/8) = 1/4 and 5(1/2) = 5/2
lastly we add so
1/4 + 5/2 = 11/4 or 2 3/4
(a). Consider the parabolic function f(x) = ax² +bx+c, where a ±0, b and care constants. For what values of a, band c is f
(i) concave up?
(ii) concave down?
[Verify your answer by MATHEMATICA and attach the printout of the commands and output]
Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have
f'(x) = 2ax + b
and
f''(x) = 2a
Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.
(i) f is concave up when f'' > 0, which occurs when a > 0.
(ii) f is concave down when f'' < 0, and this is the case if a < 0.
In Mathematica, define f by entering
f[x_] := a*x^2 + b*x + c
Then solve for intervals over which the second derivative is positive or negative, respectively, using
Reduce[f''[x] > 0, x]
Reduce[f''[x] < 0, x]
HELP ME OUT PLEASE!!
How would you describe the relationship between miles driven per week and car age, as shown in the scatterplot below?
Choose the ONE answer that accurately describes this data.
select 1 correct answer(s)
positive
linear
negative
Answer:
Negative relationship
Step-by-step explanation:
The dots in the scatter plot are going down.
Hope this helps!! :)
Answer:
negative aka c
Step-by-step explanation:
7.
Write an equation for the translation of y = |x|.
5.5 units right
A. y = |x| + 5.5
B. y = |x – 5.5|
C. y = |x + 5.5|
D. y = |x| – 5.5
Answer:
D. y = |x| – 5.5
Step-by-step explanation:
Ashley runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 mins?
Answer:
5.6 miles
Step-by-step explanation:
7 miles every 80 minutes
7/80
at the same rate we need to find it for 64 minutes
7/80=x/64
x=7*6/80
x=5.6 miles
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, and Georgia are
invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?
Answer in decimal form. Round to 3 decimal places as needed.
And this problem, we're trying to figure out the probability that Xerxes arrives first and Regina arrives last. Now, the first thing to note is that there are nine people. So if we list off nine different spaces, there's nine spaces and now the order in which they arrive could be any order. So for the first spot there are nine different ways that someone can show up, Anyone can show up first and then once someone has shown up first, the person who arrives second, there are eight different ways to choose that person. Similarly, the person who arrives third, there are seven people remaining, so there's seven ways to choose that and so on. And so there are actually nine factorial ways that the people can arrive to the party. Now if xerxes needs to be in the first spot and Regina needs to be in the last spot than in these remaining seven spaces, we can put any people, so there can be any ordering between xerxes and Regina. So there is seven factorial ways to order the people between xerxes and Regina. So the probability that we end up with is seven factorial divided by nine factorial. So that is seven factorial. And remember that nine factorial can be written as nine times eight times seven factorial. The seven factorial are going to cancel. We get 1/7 times eight which is equal 1/72 which is equal to approximately zero point 014 and that's it
Plz help I need help
Answer:
The FitnessGram™ Pacer Test
Step-by-step explanation:
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
The 20 meter pacer test will begin in 30 seconds. Line up at the start.
The running speed starts slowly, but gets faster each minute after you hear this signal.
A single lap should be completed each time you hear this sound.
Remember to run in a straight line, and run as long as possible.
The second time you fail to complete a lap before the sound, your test is over.
The test will begin on the word start.
On your mark, get ready, start.
a^p . a^q =
a) (pq)^a
b) a^(p-q)
c) a^(p+q)
d)a^(pq)
Answer:
a^( p + q )
Step-by-step explanation:
a^p . a^q = a^( p + q )
Note : -
This is actually a formula / identity.
[tex]9 1/2 - 3 9/16[/tex]
Answer:
43.0625
Step-by-step explanation:
[tex] \frac{91}{2} - \frac{39}{16} [/tex][tex] \frac{728 - 39}{16} [/tex][tex] \frac{689}{16} [/tex][tex]43 \frac{1}{16} [/tex][tex]43.0625[/tex]how do you use inequalities and graph them
9.
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = 2^x + 7; (3, 11)
A. y = 2^x + 5
B. y = 1/2x + 5
C. y = -1/2x – 5
D. y = 2^x - 19
Answer:
A. y = 2^x + 5
Step-by-step explanation:
The equation is not linear, so a constant slope does not exist.
Not Linear PARALLEL
...................................................................................................................................................
The equation is not linear, so a constant slope does not exist.
Not Linear PERPENDICULAR
...............................................................................................................................................
First, remember that if two lines are parallel, they have the same slope. The problem already gave us a point on the line and we now have the power to find the slope. Since we have the slope and a point on the line, we are going to find the equation of the line through the point-slope formula, which is:
is a point on the line
is the slope of the line
The equation given to us has a slope of 2, as we can see because the line is in slope-intercept form. Also, we are given the point (3, 11), which we are told is on the line. Since we are already given all of the information for the point-slope formula, we can simply substitute it in and solve for the equation.
Set up
Use the Distributive Property on both sides
Add 11 to both sides and simplify
The equation of our line is y = 2x + 5.
...............................................................................................................................................
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
For lines to be parallel, they have to have the SAME slope.
The given line's slope is 2, so the parallel line's slope is also 2.
y = 2x + b
To find "b", plug in the point (3,11) into the equation.
y = 2x + b
11 = 2(3) + b Multiply 2 and 3
11 = 6 + b Subtract 6 on both sides
5 = b
y = 2x + 5
What type of correlation does the data set display?
х
у
2.
13
5 11
7 10
9
8
11
2
A. Negative
B. No correlation
C. Positive
B.
Examples:Data sets are often depicted as scatter plot graphs. This is because the purpose of these scatter plots is to check for a linear correlation between the two variables. The two variables are usually denoted as independent and dependent variables. independent variable: x, horizontal axis.What's Now?When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).If you need for answers of What type of correlation does the data set display? Just like this answers for me Explantation!!
isabel prepaid debit card with $20 on it. For her Arst purchase with the card, she bought some bulk ribbon at a
rd. If after that purchase there was $15.52 left on the card, hew many vards of ribbon did Isabel buy?Isabel got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 14
cents per yard. If after that purchase there was $15.52 left on the card, how many yards of ribbon did Isabel buy?
Answer:
32 yards
Step-by-step explanation:
Subtract 15.52 by 20 to find out how much she spent.
She spent $4.48.
Divide 0.14 to find out how many yards of ribbon $4.48 can buy.
She bought 32 yards.
Division is one of the four fundamental arithmetic operations. The number of yards of ribbon is 33.93 yards.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Isabel prepaid a debit card with $20 on it. Also, after that purchase, there was $15.52 left on the card. Therefore, the cost of the total ribbon can be written as,
Cost of total Ribbon = Total Balance in debit card - Balance after purchase
= $20 - $15.25
= $4.75
It is further mentioned that the price of the ribbon was 14 cents per yard. Therefore, we can write,
Yards of ribbon = Cost of total Ribbon / Cost of a yard of ribbon
= $4.75 / $0.14 per yards
= 33.93 yards
Hence, the number of yards of ribbon is 33.93 yards.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
Calculate the simple interest rate. (Round your answer to one decimal place.)
P= $1800, I = $87.30, t = 6 months
EX %
Answer:9.7%/year
R = 9.7%/year
Formula:r = I / Pt
Step-by-step explanation:Mark me as Brainlieist
Calculation:
Solving our equation
r = 87.3 / (1800 × 0.5) = 0.097
r = 0.097
converting r decimal to a percentage
R = 0.097 × 100 = 9.7%/year
The interest rate required to
accumulate simple interest of $87.30
from a principal of $1,800.00
over 0.5 years, is 9.7% per year.
1.
Which of the following is the minimum value of the function y = 3/4x^2 + 6x + 6 ?
A. −4
B. 6
C. −6
D. 3/4
Answer: C. −6
Maximum= -4
Minimum= -6
Step-by-step explanation: Math.way
Use the formula x = − b /2 a to find the maximum and minimum.
( − 4 , − 6 )
Find the value or expression for 0.
1. sin(55) = cos( )
2.sin( )=cos(28)
3. cos(y) = sin( - )
1.
sin55 = cos35 = 0.8192
sin(55) = cos( )
Since sin and cos are complementary,
sinθ = cos(90 - θ)
Since θ = 55
sin55 = cos(90 - 55)
sin55 = cos35
So, sin55 = cos35 = 0.8192
2.
sin62 = cos28 = 0.8829
sin() = cos(28 )
Since sin and cos are complementary,
sin(90 - θ) = cosθ
Since θ = 28
sin(90 - 28) = cos28
sin62 = cos28
So, sin62 = cos28 = 0.8829
3.
cos0 = sin90 = 1
cos(y) = sin(-)
Since sin and cos are complementary,
cosy = sin(90 - y)
Since y = 0
cos0 = sin(90 - 0)
cos0 = sin90 = 1
So, cos0 = sin90 = 1
Learn more about comlementary angles here:
https://brainly.com/question/13994562
A sightseeing company charges $16.75 for a scooter rental, plus an additional $5.50 per hour that the scooter is rented. Partial hour
rentals are allowed. The total charge for a certain rental is $30.50.
How long was the scooter rented?
Enter your answer in the box.
Answer:
2.5 hours
Step-by-step explanation:
The cost of the rental - the scooter rental = 30.50 - 16.75, which equals 13.75.
Divide the additional per hour by that number.
13.75 / 5.5 = 2.5
Therefore, the scooter was rented for 2.5 hours.
Answer:
2.5
Step-by-step explanation:
13.75 / 5.5 = 2.5
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
m = 4 Point = (1/3, 1)
m = 1/3 Point = (1,-4)
m = 1/3 Point = (1, 4)
m = 1/3 Point = (-1, 4)
Answer:
m=1/3 point = (-1, 4) this is the answer
5. Mr. Wella tells his class of 24 that when
They have completed the assignment, they
may play online math games. Al the end of
class, 40% of the class is playing online math
games. Approximately how many students still
need to complete their assignment?
Answer:
Step-by-step explanation:
24(1 - 0.40) = 24(0.60) = 14.4 14 students
What is the area of this triangle?
Answer:
b
Step-by-step explanation:
it is b because it is pointing at that angle
Out of 460 students 60% have pets Identify the values of a
Step-by-step explanation:
= 460 × 60%
= 460 × 60/100
= 460 × 3/5
= 92 × 3
= 276
rearrage x=3g+2 to make g the subject
Answer:
[tex]g=\frac{x-2}{3}[/tex]
Step-by-step explanation:
[tex]x=3g+2\\\\x-2=3g+2-2\\\\x-2=3g\\\\\frac{x-2}{3}=\frac{3g}{3}\\\\\frac{x-2}{3}=g[/tex]
Estimate. 1 /5 x 26 =
I’m gonna lose the New York and take a plane to Lisbon. When Amanda left the house it was -8°. When the plane landed in the spine Amanda realized it was 20° hotter! What was the temperature when Amanda landed Lisbon?
Answer:
12
Step-by-step explanation:
Given:
-8
+20°
Solution:
-8+20 = 12
Therefore the answer is 12
Help me plz well mark brainliest if correct!
Answer:
15
Step-by-step explanation:
To subtract 2 1/2 - 1 3/5, first, you need a common denominator for the fractions, which is 10.
The subtraction becomes
2 5/10 - 1 6/10
Now you need to subtract 1 6/10 from 2 5/10.
Since the fraction part involves the subtraction 5/10 - 6/10, we need to borrow. You must change 2 5/10 to a mixed numeral with a larger numerator than 5, so you can subtract 6/210 from it.
Start with 2 5/10.
Borrow 1 from the 2. The 1 you borrow from 2 will be added to 5/10.
You think of the borrowed 1 as 10/10. Now you add 10/10 to 5/10.
2 5/10 becomes 1 15/10. Now that the fraction has a numerator grater than 6, you can do the subtraction.
2 5/10 - 1 6/10 =
= 1 15/10 - 1 6/10
Answer: 15
Answer:
20/10
Step-by-step explanation:
Which number expresses 6.72 as a fraction in simplest from?
What are the slope and intercept of this function?
Answer:
C is the correct answer
Step-by-step explanation:
slope = Δy / Δx = (7 - 4) / (8 - (-4)) = 3/12 = 1/4
y intercept occurs where x = 0 so (0, 5) from the chart
Solve the system of linear equations by graphing. 4x-4y=20 y=-5
Answer:
4x-4y=20 divide by 4 to get
x-y=5, now substitute -5 for y
x-(-5) = 5
x+5 = 5
x = 0
or you could immediately notice that by letting y=-5
that
4x +20 = 20 and
4x = 0
x = 0
x-y=5 is the same as
y= x-5 which graphically has slope = 1 with y intercept y=-5
x-intercept is x=5. Plot those two intercepts or points (0,-5) and (5,0) connect them with a straight line. It has slope = 1 or a 45 degree angle with the horizontal.
Step-by-step explanation:
9. The expression -8x? – 56x written in fully factored form is
a. -8x(x + 7)
c. -8(x + 7x)
b. 4x(2x + 14)
d. -8(x² – 7x)
Answer:
the answer is C
Step-by-step explanation:
hope this helps!
In AHIJ, j = 33 cm, ZH=148º and ZI=21°. Find the length of i, to the nearest
centimeter
Answer
The length of i to the nearest centimeter is 62 cm
Step-by-step explanation:
Please find the image uploaded for diagram and solution.
(I’ll give brainliest) Can someone
please help me with this math vocab!?
Answer:
1. Scale drawing
2. Proportion
