Answer:
The value of f(3)=12.4
Step-by-step explanation:
Average rate of change = 3.4
Interval: -2 < x < 3
f(-2) = 9
We need to find f(3)
The formula used to calculate Average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]
here we have a=-2 and b=3
Now finding f(3)
[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\3.4=\frac{f(3)-f(-2)}{3-2} \\3.4=\frac{f(3)-9}{1}\\3.4=f(3)-9\\f(3)=3.4+9\\f(3)=12.4[/tex]
So, The value of f(3)=12.4
BEST ANSWER GETS BRAINLIEST
A truck is moving at a fixed speed. e Find the speed of the truck. Write a formula that connects D and T. What is the coefficient of variation k?
Answer:
1. The speed of the truck, S = D/T.
2. The formula that connects D and T is: S = D/T.
3. The coefficient of variation, k, is the ratio of the standard deviation to the mean speed.
Step-by-step explanation:
a) The speed of a truck at a fixed speed is given as the distance covered by the truck divided by the time it takes the truck to cover the said distance. This implies that speed is a function of distance and time. However, this formula represents the mean speed. There are variations in speed.
b) If the truck covers a distance of 60 kilometers, for example, under 3 hours, we can conclude that the speed is 20 kilometers per hour (60/3) or 20 km/hr.
Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.
Answer:
[tex]x^{2} -6x+xy-6y[/tex]
Step-by-step explanation:
Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Step-by-step explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]
The term given is: [tex](x+y)(x-6)[/tex]
First we will multiply the terms
[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]
Now comparing the product [tex]x^2-6x+yx-6y[/tex] with the given form [tex]ax^2-bx + xy - cy[/tex]
The values of coefficients a, b and c are
a=1
b=6
c=6
1. x + 3y = 1 - 3x – 3y = -15
Answer:
x = 7, y = -2
Step-by-step explanation:
hey i assume those are two different equations
(x + 3y = 1) 3
-3x - 3y = -15
3x + 9y = 3
add both equations in elimination method
6y = -12, y = -2
x + 3(-2) = 1
x + -6 = 1, x = 7
PLEASE HELP! THE FIRST PERSON WHO HELPS ME WILL HAVE GOOD LUCK!
Answer: The 3/8 image will go with the answer 3/4 x 1/2. The The 3/16 image will go with the answer 1/4 x 3/4. And finally, the 4/9 image goes with the answer 2/3 x 2/3. You’re welcome. :)
Step-by-step explanation:
Aye please help! It is a late assignment I missed math class so please helppp!
Answer:
$3
Step-by-step explanation:
When doing estimation, you would want the estimated amount to be rounded off to a number that can be divisible by the question, which in this case is 4. Thus, I will be rounding $11.87 to $12.
11.87 ≈ 12
Amount each friend will pay ≈ 12÷4
= 3
Please answer the 2 questions from the questions on top... (8TH GRADE MATH?!)
Answer:
6. should be C and 7. should be A
1. Which of the following is rounded off to 2 significant figures correctly? *
a. 23.92 = 25
b. 4.801 = 4.8
c. 347 = 35
d. 482 = 50
Answer:
b
Step-by-step explanation:
significant figures means counting the digits that either come before a trail of zeros (45.0000 has 7 significant figures) or come after a trail of leading zeros (00.31 has two significant figures, because the zeros before the decimal point have no other digit in front of them and do not count) 1005.0 would have 6 significant figures
9
What is the range of the numbers?
12,
27, 34, 9, 29, 28, 9
OA.
23
OB. 24
OC.
25
D. 28
Answer:
it is c
Step-by-step explanation:
tje biggest is 34-9 which is smallest and get 25
find the slope and y intercept for 15x= -2y-14
A man, a woman, and their four children randomly stand in a row for a family picture. What is the probability that the parents will be standing next to each other?
Answer:
Required probability = 2 / 11
Step-by-step explanation:
Sample space of 5 person = 11!
One woman one man arrangement = 2!
Arrangement without woman = 10!
Required probability = [2!][10!] / [11!]
Required probability = 2 / 11
The probability that the parents will be standing next to each other is 2/11
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Sample spaceGiven a woman, man and their four children, if their parents will be standing next to each other, that makes it 5 people. The sample space for 5 people is 11!
The parent arrangement is 2!If they are arranged without the woman, the expected event will be 10!Pr(parents standing next to each other) = 2!10!/11!
Pr(parents standing next to each other) = 2*10!/11*10!
Pr(parents standing next to each other) = 2/11
Therefore the probability that the parents will be standing next to each other is 2/11
Learn more on probability here: https://brainly.com/question/25870256
A powerboat heads due northwest at 13 m/s with respect to the water
across a river that flows due north at 5.0 m/s.
What is the velocity (both magnitude and direction) of the motorboat with
respect to the shore?
9514 1404 393
Answer:
16.9 m/s N 32.9° W
Step-by-step explanation:
The resultant magnitude can be found from the law of cosines. The internal angle between the boat's heading and the river flow is 135°, so the magnitude of the boat's net speed is ...
v² = 5² +13² -2·5·13·cos(135°) ≈ 285.924
v = 16.9093 . . . . m/s
The angle (α) between the boat's heading and the resultant velocity can be found from the law of sines.
sin(α)/5 = sin(135°)/16.9093
α = arcsin(5/16.9093×sin(135°)) ≈ 12.07°
The boat's actual heading will be this angle less than the 45° angle the heading makes with due North.
45° -12.07° = 32.93°
The boat's velocity with respect to shore is about ...
16.9 m/s N 32.9° W
Evaluate the circulation of G =xyi +zj +4yk around a square of side 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis.
Answer:
I didn't know the answer and sorry I am here taking freepoint because I needed them in a hurry so that I can ask my questions from someone else that's why I really sorry and thank you for free points
if the endpoints of AB are A(-2,3) and B(1,8), which shows the correct way to determine the coordinates of point C,
the midpoint of AB?
Answer:
(-1/2 , 5/2)
Step-by-step explanation:
=(-2+1)/2,(-3+8)/2
=(-1/2 , 5/2)
A grocery store recently changed their apple supplying vendor. The vendor told the store manager that the mean weight for each apple is bell-shaped with # mean of 7.5 ounces and a standard deviation of 1.33 ounce (a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples? (b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces? (c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b? Explain it.
Answer:
b) 0.0042495
c) 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Step-by-step explanation:
mean of 7.5 ounces and a standard deviation of 1.33 ounce
When random number of samples are given, we solve using z score with the formula
= z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?
(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√25
z = (8.2 - 7.5)/1.33/5
z = 2.63158
Probability value from Z-Table:
P(x<8.2) = 0.99575
P(x>8.2) = 1 - P(x<8.2) = 0.0042495
(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?
For n= 10
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√10
z = 1.66436
Probability value from Z-Table:
P(x<8.2) = 0.95198
P(x>8.2) = 1 - P(x<8.2) = 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Based on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
PLATO
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
edmentum
Decide what can be used to determine the equation of a line when you have two points, but no slope.
a.
slope-intercept form
c.
point-slope form
b.
general form
d.
slope formula, then use one of the given points to find the equation
Answer:
Slope formula!
Step-by-step explanation:
You'd use that to find the slope!! THEN you'd use slope intercept form, but this one first!
I really hope this helped!! Have a good day :)
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
12. What is the value of x ?
Answer: 4.5
Step-by-step explanation:
Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.
Bina Chand bought two kettle for rs 1625.she sold one of them
at 20% profit and the other at 20% loss.if the selling price of both kettle are same .find the cost price of each kettle .Also calculate her gain or loss percent in the total transaction.
Answer:
cost of each kettle:
K₁ = 650K₂ = 975gain/loss from each transaction:
gain from selling K₁ = 130loss from selling K₂ = 195total loss = 65
loss % = 4%
Step-by-step explanation:
both kettles cost 1625
K₁ + K₂ = 1625
selling price of K₁ = [(100 + 20) / 100] x K₁ = 1.2K₁
selling price of K₂ = [(100 - 80) / 100] x K₂ = 0.8K₂
1.2K₁ = 0.8K₂
K₁ = 1625 - K₂
K₁ = 0.8K₂ / 1.2
1625 - K₂ = ²/₃K₂
1625 = ²/₃K₂ + K₂ = ⁵/₃K₂
K₂ = 1625 x ³/₅ = 975
K₁ = 1625 - K₂ = 1625 - 975 = 650
selling price = 1.2K₁ = 1.2 x 650 = 780
selling price K₂ = 0.8K₂ = 0.8 x 975 = 780
gain from selling K₁ = 780 - 650 = 130
loss from selling K₂ = 780 - 975 = 195
total loss = 195 - 130 = 65
loss % = 65 / 1625 = 0.04 = 4%
Evaluate: (-10 + 15)/-3
Need answer asap
Answer:
5/3
Step-by-step explanation:
Answer: If you meant this as a fraction then your answer will be -1 2/3 or -5/3... But if you didn't mean the slash mark before the -3 then your answer will be 2.
Hope this helps... Stay safe and have a great day!!! :D
slope = 3, y-intercept = -1
Answer:
y = 3x - 1
Step-by-step explanation:
Well I really don't understand what you're asking, but I'll give it a go.
y = 3x -1
That's what the equation would look like.
Hope this is what you wanted!!!
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Answer:
n = 1, this means the interest compounds ANNUALLY.
Step-by-step explanation:
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Compound Interest Formula
: A = P(1 + r/n)^nt
A = Amount after time t
P = Principal (Initial Amount Invested)
r = Interest rate
n = Number of times the interest is compounded
t = time in years
A = $30,541.83
r = 4.6% = 0.046
t = 30
P = $7,924
Hence,
$30,541.83 = $7924(1 + 0.046/n)^30n
Divide both sides by 7924
$30,541.93/$7924 = (1 + 0.046/n)^30n
$30,541.93/$7924 = (n + 0.046/n)^30n
3.8543576477 = (n + 0.046/n)^30n
We take the logarithm of both sides
log 3.8543576477 = log (n + 0.046/n)^30n
Solving for n,
n = 1
Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.
Please help I’ll mark brainliest if u give a small explanation
2. Graph x < 8 and x > -1.
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
best answer get brainly
Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?
Answer:
I would believe that it would be close 7 whatever is closest to seven bro
Answer:
12
Step-by-step explanation:
20%=2/5
2/5 is equivalent to 12/30
therefore 12 uniforms are medium
IX+XC= WHAT IS THE ANSWER
Answer: X googled it
This converts to the number 99
=========================================================
Explanation:
The upper case letter i means the number 1 in roman numerals. The X represents 10. The C represents 100.
I = 1
X = 10
C = 100
When we form something like IX, we have the smaller digit first and then a larger digit next. Whenever this happens, we subtract
IX = 10-1 = 9
Similarly
XC = 100-10 = 90
So we can see that
IX + XC = 9 + 90 = 99
---------------------------
Since XC is larger than IX, we list XC first when it comes to adding
In other words, we need to write IX+XC as XC+IX which collapses to XCIX
Placing XC next to IX without a plus sign implies the plus sign is there. This is effectively how roman numerals work (they are additive)
So,
XCIX = XC+IX = 90+9 = 99
Note how the XC takes care of the tens digit while IX takes care of the units digit.
A normal body temperature for a human is approximately 98°F. What is this temperature in degrees Celsius? Round your answer to the nearest 10th.
Answer:
36.67
Step-by-step explanation:
when you solbe you get 36.667 then round to become 36.67
Answer:
37°C
Step-by-step explanation:
The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,
➳ C/5 = F -32/9
➳ C/5 = 98 - 32/9
➳ C/5 = 66/9
➳ C = 66/9 × 5
➳ C = 36.66 °C ≈ 37°C
Hence the body temperature in Celsius measure is 37°C .The trapezoids are similar shapes. Find the lengths
jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?
Answer:
Jack is 81, Priscilla is 73
Step-by-step explanation:
Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.
Algebra Find the value of each variable using the given chord, secant, and tangent lengths. If the answer is not
a whole number, round to the nearest tenth.
Answer:
15. [tex] x = 15 [/tex]
17. [tex] c = 13.2 [/tex]
19. [tex] x = 25.8 [/tex]; [tex] y = 12.4 [/tex]
Step-by-step explanation:
15. [tex] 20*6 = 8*x [/tex] (intersecting chord theorem)
Solve for x
[tex] 120 = 8x [/tex]
Divide both sides by 8
[tex] 15 = x [/tex]
[tex] x = 15 [/tex]
17. [tex] (11 + 20)*11 = (13 + c)*13 [/tex] (two secants intersecting theorem)
Solve for c
[tex] 31*11 = 169 + 13c [/tex]
[tex] 341 = 169 + 13c [/tex]
Subtract 169 from each side
[tex] 341 - 169 = 169 + 13c - 169 [/tex]
[tex] 172 = 13c [/tex]
Divide both sides by 13
[tex] \frac{172}{13} = \frac{13c}{13} [/tex]
[tex] 13.2 = c [/tex] (nearest tenth)
19. [tex] (x + 5)*5 = (15 + 7)*7 [/tex] (two secants intersecting theorem)
Solve for x
[tex] 5x + 25 = 22*7 [/tex]
[tex] 5x + 25 = 154 [/tex]
Subtract 25 from each side
[tex] 5x + 25 - 25 = 154 - 25 [/tex]
[tex] 5x = 129 [/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{129}{5} [/tex]
[tex] x = 25.8 [/tex] (nearest tenth)
[tex] y^2 = 7*(15 + 7) [/tex] (tangent and secant theorem)
Solve for y
[tex] y^2 = 7*22 [/tex]
[tex] y^2 = 154 [/tex]
Take the Square root of both sides
[tex] \sqrt{y^2} = \sqrt{154} [/tex]
[tex] y = \sqrt{154} [/tex]
[tex] y = 12.4 [/tex] (nearest tenth)