Step-by-step explanation:
Substituting value of x in the equation we get the answers.
The required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question as:
F(x) = 0.08x + 4.02
We have to evaluate the values F(12.6) and F(-1.09) for given function.
As per the question, we have
F(x) = 0.08x + 4.02 ....(i)
For evaluate the value F(12.6),
Substitute the value of x = 12.6 in the given function,
F(12.6) = 0.08(12.6) + 4.02
F(12.6) = 1.008 + 4.02
F(12.6) = 5.028
For evaluate the value F(-1.09),
Substitute the value of x = -1.09 in the given function,
F(-1.09) = 0.08(-1.09) + 4.02
F(-1.09) = -0.0872 + 4.02
F(-1.09) = 3.9328
Thus, the required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
Learn more about the function here:
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What is the area of the trapezoid?
Ignore that I've already marked an answer. That was on accident.
C. 64
This is the answer
Where is the blue dot on the number line? -7 ? -7.5. -8
Answer:
-7.5
Step-by-step explanation:
Answer:-7.4
Step-by-step explanation:
Hopen helps ❤
Elan is painting the outside of a rectangular barn door. It is
80 inches high and 60 inches wide. What is the area of the
outside of the door?
Help ASASP
Answer:
9600
Step-by-step explanation:
80 times 60 times 2
!!!!! PLEASE PLEASE HELP ME !!!!! IS ANYONE SEEING MY QUESTIONS??
Find the standard equation for the circle with center on the negative y -axis and passing through the origin with radius of 3.
A. x^2 + y^2 = 9
B. (x + 3)^2 + y^2 = 9
C. x^2 + (y + 3)^2 = 9
Answer:
The correct option is C : x² + (y +3)² = 9 .
Step-by-step explanation:
We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,
r is the radius.(h , k) is the center.Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .
Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,
⇒ ( x -h )² + ( y - k )²= r²
⇒ ( x - 0)² + { y - (-3) }² = 3²
⇒ x² + ( y + 3) ² = 3²
⇒ x² + ( y + 3)² = 9
Hence the correct option is C [ x² + ( y+3)² = 9 ] .• Note that I have attached the graph of the same .
· Lucy buys 3 apples and 6 mangos for a total of $9.15.
· Amir buys 8 apples and 4 mangos for 11.92.
What is the cost of a single apple?
Answer:
0.97
Step-by-step explanation:
Let x be the cost of apples
Let y be the cost of mangoes
3x + 6y= 9.15......equation 1
8x + 4y= 11.92........equation 2
Multiply equation 1 by 8 and equation 2 by 3
24x + 48y = 73.2
-
24x + 12y = 35.76
36y = 37.44
y = 37.44/36
y= 1.04
Substitute 1.04 for y in equation 1
3x + 6y = 9.15
3x +6(1.04)= 9.15
3x + 6.24= 9.15
3x = 9.15-6.24
3x = 2.91
x = 2.91/3
x = 0.97
Hence the price of a single apple is 0.97
i need help with this
Answer:
I would say that the answer is D
Step-by-step explanation:
Hope this helps you:)
what percent of 77 is 774
Answer:
9.95%
Step-by-step explanation:
integral of below.
ſ√y . e^-y^3
Assuming you're equipped with the error function,
[tex]\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^x e^{-u^2}\,\mathrm du[/tex]
whose derivative is
[tex]\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}[/tex]
by substituting x = √y, so that x ² = y and 2x dx = dy, we have
[tex]\displastyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int 2x^2 e^{-x^6}\,\mathrm dx[/tex]
Then if u = x ³ and du = 3x ² dx, we have
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int\frac23 e^{-u^2}\,\mathrm du[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(u)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(x^3)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\boxed{\frac{\sqrt\pi}3\mathrm{erf}\left(y^{\frac32}\right)+C}[/tex]
If you're not familiar with the error function, unfortunately there is no elementary antiderivative...
Find the equation of the line with slope m=4/5 that contains the point (10,11).
Answer:
Y=4/5x+3
Step-by-step explanation:
Y–11=4/5(x–10)
Y–11=4/5x–8
Y=4/5x+3
Sassy Fashions buys dresses at wholesale and then marks them up for retail sale. They recently sold a dress at a 40% discount off their marked-up price. What percent mark-up did they originally apply to the dress if they broke even on the sale? Express your answer to the nearest whole percent.
Answer:
67%
Step-by-step explanation:
I did math counts
Richie and bethany play basketball and practice shooting free throws after school. During one practice session, Richie attempted 15 free throws and made 12 of them.
a. bethany made eight free throws for every 3 that she missed. Did bethany do better than richie? how do you know.
Answer:
Bethany did not do better than Richie because her average score was less than his.
Step-by-step explanation:
Average Value
The average or mean value of m successes out of n tries is given by:
[tex]\displaystyle \bar x=\frac{m}{n}[/tex]
During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:
[tex]\displaystyle \bar x=\frac{12}{15}=0.8[/tex]
Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:
[tex]\displaystyle \bar x=\frac{8}{11}=0.72[/tex]
Bethany did not do better than Richie because her average score was less than his.
The person that did better is Richie. This is because the percentage of free throws made by Richie is higher than that of Bethany.
In order to determine who did better, the percentage of free throws made has to be determined.
The percentage of free throws made by Richie =( 12 / 15) x 100 = 80%
The percentage of free throws made by Bethany = [(8-3) / 8] x 100 = 62.50%
To learn more, please check: https://brainly.com/question/92258
I GIVEEE BRAINLIST //
Answer:
-20% aka 20% decrease
Step-by-step explanation:
Answer:
450 %20
Step-by-step explanation:
what is the value of x in the equation -2/3 x + 9 = 4/3 x - 3
Answer:
x=6
Step-by-step explanation:
This equation requires simplifying. We start with moving like terms to each other:
3 + 9 = 4/3x + 2/3x
After this, add the like terms together:
12 = 6/3x
6/3 will simplify into 2:
12=2x
Finally, divide both sides by 2:
6=x
A student was interested in studying the relationship between burping and eating at BCs. The hypothesis was that more expensive meals would correlate with more burping. They watched BCs patrons for two weeks and recorded the cost of meals and how often people burped while eating. In this experiment, the independent variable was _________, and they should present the data as a__________ .
a. Burping frequency,
b. Bar graph with error bars
c. Burping frequency
d. Scatter plot with a trendline
Answer:
Price of the meals
Scatter plot with a trendline
Step-by-step explanation:
None of the provided options are correct. The independent variable was Price of the meals, and they should present the data as a Scatter plot with a trendline. The Price of the meal is the independent variable because it does not depend on any other variable and is instead the cause of the burping frequency which would be the dependent variable in this scenario. The Scatter plot would allow you to mark each individual's burping frequency on the same prices for the meal, since you would most likely have more than one value of burping frequency for the same priced meal.
Use the slope formula (m =
Y2 - Y1
) to find the slope of a line given two points.
X2 – X1
-1
(-7, -3) and (-6, -4)
x
1
(1, 6) and (-3,0)
1.5
(7, 2) and (0, -5)
For (7,2) and (0,5)
slope = 5-3/-7 = -2/7
STMolciatio
saisi savo
Paintinoindiadoc
7
8 8
को
Incouvarior
3
Answer:I do not speak
Step-by-step explanation: if u answer them all you get I do not speak I hope this helped :)
Jared ran four days this
week. He ran a total of 24.2
miles. If he ran about the
same distance every time,
how many miles did he run
each day?
Answer:
6.05
Step-by-step explanation:
24.2 / 4 = 6.05 ^^
hope this helps!
Of the shirts produced by a company, 6.5% have loose threads, 9.5% have crooked stitching, and 3% have loose threads and crooked stitching. Find the probability that a randomly selected shirt has loose threads or has crooked stitching.
Answer:
[tex]P(L\ or\ C) = 0.13[/tex]
Step-by-step explanation:
Given
Represent loose threads with L, Crooked stitching with C.
So, we have:
[tex]P(L) = 6.5\%[/tex]
[tex]P(C) = 9.5\%[/tex]
[tex]P(L\ and\ C) = 3\%[/tex]
Required
Calculate P(L or C)
In probability:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]
In this case:
[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]
Substitute values for P(L), P(C) and P(L and C)
[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]
[tex]P(L\ or\ C) = 13\%[/tex]
Convert to decimal
[tex]P(L\ or\ C) = 0.13[/tex]
Hence:
The required probability is 0.13
sarah puts $500 in a savings account that earns 3.15% compounded annually. how long does it take for sarah to double her money
Answer: What are the choices?
Step-by-step explanation:
Based on a study by Dr. P. Sorita Soni at Indiana University, assume that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel. If three people are randomly selected, what is the probability that one will have brown eyes, one will have gray eyes, and one will have green eyes (with replacement)
Answer
0.00336
Step-by-step explanation:
Given :
P(Brown), P(Br) = 0.4
P(Blue) = P(b= 0.35
P(green,) = P(g) = 0.12
P(gray), P(Gr) = 0.07
If 3 individuals are selected, the probability that one has brown eye, 1 has Grey and one has green.
Since the probabilities are independent :
P(Br) * P(Gr) * P( g)
0.3 * 0.07 * 0.12
= 0.00336
can you guys please help me, I really REALLY need it.
which statement is true about points located in quadrant ||| in the coordinate plane?
Answer:
The x-coordinate is negative, and the y-coordinate is negative.
Frank has a box of pens. The box contains 6 blue pens, 8 black pens and 3 red pens. Some more blue pens are added to the box. The probability of selecting a blue pen is now 1/2. How many blue pens were added to the box?
Answer: umm i calculated about 10??
Step-by-step explanation:
How to Find the length of the median of each trapazoid
(GIVING BRAINLIEST!!)
Choose the equation that represents the fraction one eighth
A) 7 ÷ 8 = ________
B) 1 ÷ 8 = ________
C) 8 ÷ 7 = ________
D) 8 ÷ 1 = ________
Answer:
Step-by-step explanation:
The answer is d
Answer:
B.
Step-by-step explanation:
I did the test and got it right.
A train is travelling at a constant speed in ten minutes it travels 24 km work out how far it travels in 30 minutes
50min
1 hour
Two angles of a triangle have the same measure and the third one is 3 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
9514 1404 393
Answer:
62°
Step-by-step explanation:
If x is the largest angle, the sum of angles in the triangle is ...
x + (x -3) +(x -3) = 180
3x -6 = 180 . . . . . simplify
x -2 = 60 . . . . . . . divide by 3
x = 62 . . . . . . . . . .add 2
The largest angle is 62°.
The well-known state of East Dakota spent approximately $80.8 billion in 2016. Its population at that time was about 3.203 million people. How much did East Dakota spend per capita in 2016? Round to the nearest dollar.
Answer:
$25,226
Step-by-step explanation:
We know that one billion is equal to 1,000 millions
So, we first multiply 80.8 by 1,000 so we can use millions as our unit.
Which gives you $80,800
So, East Dakota spent $80,800 million in 2016 for the 3.203 million people. Right now, we just ignore the "million" part and divide 80,800 by 3.203 which is around 25,226.35029659694
Now we just round it to the nearest dollar and since the tens place is only at 3, we round down.
Hence, our answer is $25,226
If you had 1.27x105 mL and 3.785 L equals exactly one gallon then how many gallons do you have? (Make sure you have the correct number of significant digits in your answer)
Answer:
33.6 gallons
Step-by-step explanation:
[tex]\frac{1.27x10^5 mL}{1}[/tex] × [tex]\frac{1 liter}{1000 mL}[/tex] × [tex]\frac{1 gallon}{3.785 liters}[/tex] = 33.5535 gallons = 33.6 gallons
y +6 > -13
What does this equal help
Answer:
y > -19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
y + 6 > -13
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 6 on both sides: y > -19Here we see that any value y greater than -19 would work as a solution to the inequality.