Answer:
amount of food feed each day is 0.12 kg
amount of food required to feed in March( 31 days) is 0.12*31
the answer is 3.72kg
can someone please figure this out for me or at least explain this because im lost here
Let f(x)=3x+2, g(x)=x3−3x2+2x+11, and h(x)=x2−3. Perform the following operations.
a) g(-2)=
b) h(-1)=
c) g(x) - h(x)=__x^3 +__x^2+__x+__
d) -2f(x) * h(x)= __x^3+__x^2+__x+__
e) f(h(x)) = __x^2+__x+__
f) f(g(x)) =__x^3+__x^2+__x+__
Answer:
Step-by-step explanation:
the concepts are confusing of what a function is. f(x) seems mysterious , huh
it's just a way to give a label to some set of terms. Just think of it as a name of a person, but in a generic sense, like hey "guy" or hey "gal" you can address many people that way. f(x) is doing that same thing addressing by a name, a set of math terms.
a)
in a) we are addressing the g(x) function and we are also sending that function the number -2 as an input. so find the g(x) function and put in (-2) everywhere that there is an "x" , so
g(x)=[tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
g(-2) = [tex](-2)^{3}[/tex]-3[tex](-2)^{2}[/tex]+2(-2)+11
g(-2) = -8 -3(4) - 4 +11
g(-2) = -8 -12 -4 + 11
g(-2) = -24 + 11
g(-2) = -13
b)
h(-1) find the h(x) function and input a negative 1 where ever there is an x
h(x) =
h(-1) = [tex](-1)^{2}[/tex] - 3
h(-1) = 1 - 3
h(-1) = -2
c)
for c) just combine like terms of the two given functions
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - ([tex]x^{2}[/tex] - 3)
g(x) - h(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11 - [tex]x^{2}[/tex] + 3
g(x) - h(x) = [tex]x^{3}[/tex]-4[tex]x^{2}[/tex]+2x + 14
d)
-2f(x) - h(x) = -2(3x + 2) - ([tex]x^{2}[/tex] - 3)
-2f(x) - h(x) = -6x - 4 - [tex]x^{2}[/tex] + 3
-2f(x) - h(x) = -6x - 1 - [tex]x^{2}[/tex]
-2f(x) - h(x) = - [tex]x^{2}[/tex] - 6x - 1
e)
f(h(x)) this gets a bit more confusing b/c it's a composition of functions, that's just a fancy way of saying the functions are nested. one inside the other.
f(x) = 3x + 2
h(x) = [tex]x^{2}[/tex] - 3
plug h(x) in to f(x) where ever there is an x in f(x) , luckily there is only one x in f(x) :)
f(h(x)) = 3([tex]x^{2}[/tex] - 3) + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 9 + 2
f(h(x)) = 3[tex]x^{2}[/tex] - 7
f(h(x)) = 3[tex]x^{2}[/tex] + 0x + (-7)
f)
f(x) = 3x + 2
g(x) = [tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11
f(g(x)) = 3([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+2x + 11) + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 33 + 2
f(g(x)) = 3[tex]x^{3}[/tex]-9[tex]x^{2}[/tex]+6x + 35
Hope that helps :)
3. A box containing 90 oz. of cereal cost $4.50. What is the price per ounce
Answer: 0.05$ per ounce
Step-by-step explanation:
Answer:0.05 per oz.
Step-by-step explanation: divide 4.50 by the oz
Hello, please answer asap, need this done in an hour.
The distance between City A and City B is 500 miles. A length of 1.2 feet represents this distance on a certain wall map. City C and City D are 1.92 feet apart on this map. What is the actual distance between City C and City D?
Answer:
800
Step-by-step explanation:
First what you need to do is find the scale of magnification, which you can do with 500/1.2. You will get 416.6667 as the scale. You then need to multiply the scale by 1.92, which nets you the actual distance of 800 miles.
Hope this helps!
One Monday, Oscar sold 15 cups of lemonade. On Tuesday, he sold 5 more cups than he sold on Monday. On Wednesday and Thursday, he sold 25 cups of lemonade. Which graph shows the number of lemonade cups that Oscar sold each day? A) A B) B C) C D) D
Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.
x 0 1 2 3 4
Px 0.2 0.1 0.4 0.2 0.1
Compute the standard deviation σX. Round the answer to at least three decimal places.
Step-by-step explanation:
sorry po hindi ko po alam sagot
What is the total weight of Dorothys apples
Weight: Number of apples:
1/4. 3
3/8. 6
1/2. 5
5/8. 4
3/4. 2
Work does not have to be included if you decide to do it! I’ll give anyone who does it a lot of points!
A quality control expert at a pretzel factory took a random sample of 10 bags from a production run of over 500 bags and measured the amount of pretzels in each bag in the sample. The sample data were roughly symmetric with a mean of 450 and a standard deviation of 15 g. Based on this sample, which of the following is a 90% confidence interval for the mean amount of pretzels per bag (in grams) in this production run?
A. 450 ± 4.743
B. 450 ± 7.803
C. 450 ± 8.695
D. 450 ± 15
e. 450 ± 27.495
Answer:
C. 450 ± 8.695
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{15}{\sqrt{10}} = 8.695[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Confidence interval is sample mean plus/minus margin of error. So
[tex]450 \pm 8.695[/tex]
The correct answer is given by option C.
Natan's family spent 2 1/4 hours visiting a national monument near their home. They watched a video in the visitor's center for 1/3 of that time. How much time did they spend watching the video?
Answer:
3/4 h
Step-by-step explanation:
m∠1 = _°
•70
•50
•90
Answer:
50°
Step-by-step explanation:
By intersecting secants theorem:
[tex]m \angle \: 1 = \frac{1}{2} (140 - 40) \degree \\ \\ m \angle \: 1 = \frac{1}{2} \times 100 \degree \\ \\ m \angle \: 1 = 50 \degree [/tex]
Answer:
the answer is 50 on od
Step-by-step explanation:
Which expression is equivalent to
Answer:
The first one.
Step-by-step explanation:
Question 3 (2 points)
Cars-2-Go rents out cars for a $23.75 rental fee and charges $.35 per mile. Which function rule matches this situation when x = number of
miles and y = total cost?
Answer:
23.75+0.35x=Y
Step-by-step explanation:
It starts at $23.75. $0.35 is per mile so that means it will have an x. Add the two up and it is y.
please help i really really need help please help me i really really need help please
Answer:
2x-4=3x+9
+4 +4
2x=3x+13
-3x -3x
-x=13
x= -13
Step-by-step explanation:
Plz guys help me plz
i hope this helps- im not sure if its correct or not
Find the area of the circle. Round to the nearest tenth. Help me pls I’m stuck
Answer:
area = 5.3 m²
Step-by-step explanation:
r = d/2 = 2.6/2
r = 1.3
area = πr² = (3.14)(1.3²) = 5.31 m²
The area of a circle is pi r^2
if the diameter is 2.6m
r=d/2
=1.3
area= 22/7*2.6^2
=21.245m^2
Round to the nearest 10th
=20m^2
Answer:20m^2
The "fear of negative evaluation" (FNE) scores for 11 random female students known to have an eating disorder (1) and 14 random female students who do not have an eating disorder (2) are collected. The higher the score, the greater is the fear of a negative evaluation.
Bulimic Students: 16, 8, 5, 15, 20, 14, 11, 16, 19, 8, 9
Normal Students: 10, 3, 13, 10, 5, 16, 20, 15, 8, 16, 4, 7, 12, 17
Assume the scores are normally distributed. The mean for the 11 students with an eating disorder is 13.82 and standard deviation 4.92. The mean for the 14 students who do not have an eating disorder is 13.14 and standard deviation 5.29.
Required:
a. Find a 95% confidence interval for the difference between the population means of the FNE scores for bulimic and normal female students. (Round to two decimal places as needed.)
b. Interpret the result of the confidence interval.
A. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is outside the confidence interval.
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval.
C. We are 5% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval.
D. We are 5% confident that the difference in mean FNE scores for bulimic and normal students is outside the confidence interval.
c. What assumptions are required for the interval of part (a) to be statistically valid? Select all that apply.
Answer:
a. The 95% confidence interval for the difference in mean is C.I. = -3.6 < μ₂ - μ₁ < 4.96
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval
c. The assumptions made are;
The variance of the two distributions are equal
Step-by-step explanation:
The given parameters are;
The mean for the 11 students with an eating disorder, [tex]\overline x_1[/tex] = 13.82
The standard deviation for the 11 students with an eating disorder, s₁ = 4.92
The mean for the 14 students who do not have an eating disorder, [tex]\overline x_2[/tex] = 13.14
The standard deviation for the 14 students with an eating disorder, s₂ = 5.29
a. The 95% confidence interval for the difference in mean is given as follows;
[tex]\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{ \hat \sigma^2 \times\left( \dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right)}[/tex]
The pooled standard deviation, is therefore;
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
Therefore;
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 11-1 \right )\cdot4.92^{2} +\left ( 14-1 \right )\cdot 5.29^{2}}{11+14-2}} \approx 5.13241[/tex]
Where at degrees of freedom, df = n₁ + n₂ - 2 = 25 - 2 = 23 the critical-t = 2.07
\left (13.82- 13.14 \right )\pm 2.07 \times\sqrt{5.13241^2 *(\dfrac{1}/{11}+\dfrac{1}{14}\right)}
[tex]C.I. = \left (13.82- 13.14 \right )\pm 2.07 \times\sqrt{5.13241^2 \times\left(\dfrac{1}{11}+\dfrac{1}{14}\right)}[/tex]
Therefore, we get;
[tex]C.I. = 0.68\pm 4.28[/tex]
C.I. = -3.6 < μ₂ - μ₁ < 4.96
b. Therefore, given that the confidence interval extends from positive to negative, therefore, there is a possibility that there is no difference between the mean FNE scores for bulimic and normal students
B. We are 95% confident that the difference in mean FNE scores for bulimic and normal students is inside the confidence interval
c. The assumptions made are;
The variance of the two distributions are equal
Can someone pls help me with these equations
Answer:
1. y = -2x+5
2. y = 3/4 - 3
3. intercept = -5 slope = 4/3
4. intercept = 1 slope = -1/2
What is the form of the Difference of Cubes indentity?
Solution:
The difference of cubes identity is
if a and b are any two real numbers, then difference of their cubes, when taken individually:
a³-b³= (a-b)(a² + ab + b²)→→→Option (D) is
true option.
I will show you, how this identity is valid.
Taking RHS
(a-b)(a² +b²+ab)
= a (a² +b²+ab)-b(a² +b²+ab)
= a³ + a b² +a²b -b a² -b³-ab² Cancelling like terms, we get
= a³-b³
= LHS
A poster has an area of 1,080 in squared.
The poster is 36" tall. What is
the width of the poster?
Answer:
30
Step-by-step explanation:
A=wl
1080=36w
divided by 36
equals 30
CAN SOMEONE HELP ME, IT’S WORTH 40 POINTS AND DUE TOMORROW (April 18,2021)
Answer:
Step-by-step explanation:
1) the formula for the area of the square is: side^2
2) by solve the square root of the area
3) √81 ; √89
4) the side of the first square is a rational number, in fact Its value is 9, a number that can be expressed as a fraction (9/1).
the side of the second square is irrational, because √89 can‘t be expressed with a fraction, in fact it is a decimal number whose figures don’t repeat.
James divided the candy bar
into 4 parts.
He gave 1 part to his friend.
Answer:
If he gave 1 part to his friend then he will have 3 parts left. Is that what you needed help on?
Write one-hundred-two-and-eighty-one-hundredths in standard form. A 120.081 B 102.081 C 102.81 D 102.801
Answer:
Your CORRECT answer will be B
Step-by-step explanation:
It is definantely not A, because it 102, not 120, so it b, c, or d.
102.081 sounds exact, but what about C? You cannot leave out the 0, so that's out too! 102.801? Say it out loud, doesn't make sense! So you have only one answer left, C.
Mark me brainliest!
Can someone explain how they got the answer please
Answer:
The answer is B-452.4
Step-by-step explanation:
The formula for volume of a cylinder is V= πr^2h
so you would do 3.14 times 6 squared times 4
6 squared is 36 times 4 equals 144. Then you multiply that by pi, or 3.14 and you get 452.16 round to the nearest tenth and get 452.2
Hope this helps!
A line has a slope of -7 and a y-intercept of (0, 4). Which of the following represents the equation of the line?
Answer:
i think its =y7x-4
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
The slope is going to be associated with an “x” and we know that the slope equals -7 so it’s important to add the NEGATIVE sign.
Also, the x-intercept is POSITIVE. It won’t be A because their x-intercept is negative. It won’t be C because their slope is positive. It won’t be D. because they didn’t put -7 as a slope.
Using the Substitution Method, find the value of y in the below system of equations?
-2y = 4x – 4
7x = -4y + 10
Answer:
y = 6
Step-by-step explanation:
-2y = 4x – 4
y = -2x + 2
7x = -4(-2x+2) + 10
7x = 8x-8+10
7x = 8x+2
7x -2 = 8x
-2 = x
plug this into the first equation and the value of y is 6
The value of y using substitution method on the given simultaneous equations is; y = -2
We are given the equations;
-2y = 4x - 4 - - -(eq 1)
7x = - 4y + 10 - - - (eq 2)
From eq 1, divide through by -2 to isolate y;
y = -2x + 2
Substitute -2x + 2 for y in eq 2 to get;
7x = -4( -2x + 2) +10
Expand the bracket to get;
7x = 8x - 8 + 10
7x = 8x + 2
8x - 7x = 2
x = 2
Put 2 for x in y = -2x + 2 to get;
y = - 2(2) + 2
y = -4 + 2
y = -2
Read more about substitution method at; https://brainly.com/question/16863577
Based on the scatterplot, what is a reasonable expected average selling price of skateboard in 2016?
Answer:
Last option, $58.50
Step-by-step explanation:
Let's look at the graph, and let's do a simple analysis of the information that it shows.
We can see that in 2009, the price was between $30 and $40.
We can see that as the years pass by, the price increases, such that in the year 2013 the selling price spikes and ranges between a bit less than $50 to a little more than $50.
Then we can only expect that a few years later (in 2016) the price to be larger than $50.
The only option that has a price larger than $50 is the last one, $58.50, then that one is the only option that can be the correct one.
We also could do an exact calculation of this if we had the raw data, but as you can see in the graph, we can not know the exact price of each graphed point (we can only estimate it) so we will not get a nice interpolation by only using the given graph.
Rewrite the equation
A = b x c
B = ?
Answer:
C ) . B= A/C
Step-by-step explanation:
A=bxc
A/C=B
tomen puntos y doy corona al primero que comente hola
Answer:
hewo nice to meet ya
Step-by-step explanation:
hi hello
Answer:
Hola!
*Spanish*
Gracias por los puntos!
solve the 2x-1/4+3x-2/3=25/12
Answer:
x=8/15
Step-by-step explanation:
2x-1/4+3x-2/3=25/12
2x+3x=25/12+1/4+1/3
5x=25/12+3/12+4/12
5x=32/12
5x=8/3
x=8/3÷5
x=8/15
Answer: 3 over 5
Step-by-step explanation:
What value of x makes the equation –7x + 4 – 3x = –2x – 12 true?
Answer:
x=2
Step-by-step explanation:
To solve this equation combine like terms and move all like terms to the same side. Then, isolate the variable.
First, combine like terms that are on the same side,
-10x+4=-2x-12
Next, move -10x to the other side by adding it to both sides,
4=8x-12
Then, add 12 to both sides as well,
16=8x
Finally, isolate x by dividing the whole equation by 8,
2=x
Answer:
x=2
Step-by-step explanation:
I know the answer is x=2.
First, I set up the equation.
-7x+4-3x=-2x-12
Next, I added like values on each side.
-10x+4=-2x-12
Then, I added 10x to both sides.
4=8x-12
Then, I added 12 to both sides.
16=8x
Next, I divided 8 on both sides.
2=x
To make sure 2 is the true value of x, I inserted 2 to all values of x in the equation. -7(2)+4-3(2)=-2(2)-12. Both sides of the equation are -16. So, 2 is the real value of x in this equation.
Write the equation of line AB in slope-intercept form, given the points A(0,5) and B(-5,-10) . In your final answer, include all of your calculations.
Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of points A and B into the formula and simplify:
[tex]m = \frac{(-10)-(5)}{(-5)-(0)} \\m = \frac{-10-5}{-5-0} \\m = \frac{-15}{-5} \\m = 3[/tex]
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation [tex]y = mx + b[/tex], write the equation of the line. Remember that the number in place of [tex]m[/tex], or the coefficient of the x-term, is the slope. So, substitute 3 for [tex]m[/tex]. Also, remember that [tex]b[/tex] represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
[tex]y = 3x + 5[/tex]