Answer: R = {0kg, 59.5kg}
Step-by-step explanation:
When we have a function f(x) = y.
The set of the possible values of x is called the domain of the function, and the set of the possible values of y is called the range of the function,
In this case, we have that:
the plant recycled 4.9kg the first hour, and 7.8 kg per hour after.
So this function can be written as piecewise function, with one part for the first hour, and another part for the time after the first hour.
F(x) = 4.9kg*x if 0h < x ≤ 1h
F(x) = 4.9kg + 7.8kg/h*(x -1) if x ≥ 1h
We use (x - 1) for the second part because if x = 1 h, we must have the same result in both parts of the function.
Where x is the number of hours.
And we know that the domain is (0hours, 8 hours)
Then the minimum value of y will be:
F(0h) = 4.9kg*0h = 0kg.
And the maximum value in the range will be:
F(8h) = 4.9kg + 7.8kg*7 = 59.5kg
Then the range is:
R = {0kg, 59.5kg}
A garden consists of an apple tree, a pear tree, some cauliflower heads, and some cabbage heads. There are 40 vegetables in the garden. 24 of them are cauliflower heads. What is the ratio of the number of cauliflower heads in the garden to the number of cabbage heads?
24 cauliflower: 16 cabbage
Apples and pears are not vegetables, which means 40 - 24 = 16.
Answer:
24:16
Step-by-step explanation:
I think.
40 total - 24 cauliflower heads= 16 other vegtable.
Number of cauliflower heads: number of cabbage heads
24: number of cabbage heads (16)
Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 15 ft high
Answer:
The height of the pile is increasing at the rate of [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
Step-by-step explanation:
Given that :
Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min
i.e [tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]
we know that radius r is always twice the diameter d
i.e d = 2r
Given that :
the shape of a cone whose base diameter and height are always equal.
then d = h = 2r
h = 2r
r = h/2
The volume of a cone can be given by the formula:
[tex]V = \dfrac{\pi r^2 h}{3}[/tex]
[tex]V = \dfrac{\pi (h/2)^2 h}{3}[/tex]
[tex]V = \dfrac{1}{12} \pi h^3[/tex]
[tex]V = \dfrac{ \pi h^3}{12}[/tex]
Taking the differentiation of volume V with respect to time t; we have:
[tex]\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}[/tex]
[tex]\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}[/tex]
we know that:
[tex]\dfrac{dV}{dt}= 20 \ ft^3/min[/tex]
So;we have:
[tex]20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}[/tex]
[tex]20= 56.25 \pi \times \dfrac{dh}{dt}[/tex]
[tex]\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
The height of the pile is increasing at the rate of [tex]\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}[/tex]
**BRAINLIEST IF ANSWERED***
A regular hexagon is shown. What is the measure of half the side length, b, rounded to the nearest whole inch? Use the appropriate trigonometric ratio to solve. *
6 in
24 in
14 in
7 in
Answer:
(D)7 in.
Step-by-step explanation:
A regular hexagon can be divided into six equilateral triangles.
Therefore:
[tex]b=\dfrac{c}{2}[/tex]
Applying Pythagoras Theorem
[tex]c^2=12^2+b^2\\c^2=12^2+(\frac{c}{2})^2\\c^2-(\frac{c}{2})^2=12^2\\c^2-\dfrac{c^2}{4}=144\\\dfrac{4c^2-c^2}{4}=144\\\dfrac{3c^2}{4}=144\\$Cross multiply\\3c^2=144 \times 4\\3c^2=576\\$Divide both sides by 3\\c^2=192\\$Therefore:\\c=\sqrt{192}\\c=8\sqrt{3}$ in.[/tex]
Recall that b=c/2
Therefore:
[tex]b=4\sqrt{3} \approx 7$ in.[/tex]
The value of b is 7 inches.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
A.
Step-by-step explanation:
The equation is ax^2 + bx + c = 0.
a = -1, and b = 1.
-1x^2 + 1x + c = 0
-x^2 + x + c = 0
Hope this helps!
Find the measure of angle C of a triangle ABC, if m∠A = α, m∠B = 2α
Answer:
The measure of angle C is 180 - 3α
Step-by-step explanation:
Given;
triangle ABC, ΔABC
angle A, ∠A = α
angle B, ∠B = 2α
To calculate angle C, we must recall that, the sum of angles in a triangle is equal to 180°. Angle A, angle B, and angle C make up the total angle in the triangle.
∠A + ∠B + ∠C = 180
where
∠C is angle C
α + 2α + ∠C = 180
3α + ∠C = 180
∠C = 180 - 3α
∠C = 3(60 - α)
Therefore, the measure of angle C is 180 - 3α
Answer:
180°-3a
Step-by-step explanation:
YOU HAVE TO INSERT DEGREES SYMBOL
Quadrilateral ABCD is rotated 50 degrees about point R to create quadrilateral A' B' C' D'. What is the length of segment C' D'?
Answer:
CD = 2.8
Step-by-step explanation:
Quadrilateral ABCD is rotated to create Quadrilateral A'B'C'D' only. It is not dilated so all of its sides will be equal.
So,
CD = C'D'
Given that C'D' = 2.8
So,
CD = 2.8
Answer: 2.8
Step-by-step explanation: Khan Academy
Please answer it now in two minutes
Answer:
8sqrt(3)
Step-by-step explanation:
30-60-90 truangle ratio of lengths of sides:
1 : sqrt(3) : 2
24/d = sqrt(3)/1
d * sqrt(3) = 24
d = 24/sqrt(3)
d = 24/sqrt(3) * sqrt(3)/sqrt(3)
d = 24sqrt(3)/3
d =
Complete the square
to find the vertex
of this parabola.
2
X -- 4 y-12 x+68=0
([?], [ ]
PLEASE HELP ASAP
Answer: 6,8
Step-by-step explanation:
OMGGGGG PLEASE HELP ME GUYS
Answer:
a) 2/5
b) 1/10
Step-by-step explanation:
There are 20 people total.
a is that the chosen child is a girl.
2 + 6 = 8, --> there are 8 girls --> simplify
8/20 = 4/10 = 2/5
b is the probability that the chosen child is a left-handed girl, --> there are 2 left-handed girls --> 2/20 --> simplify to 1/10
And thus, we have our answers.
Answer:
A) 2/5
B) 1/10
Step-by-step explanation:
A) Total Girls = 8
Total Children = 19
Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]
Probability = 8/20 = 4/10 = 2/5
B) Left-handed girls = 2
Total left handed children = 20
=> Probability = [tex]\frac{NumberOfFavourableOutcomes}{Total No.OfOutcomes}[/tex]
=> Probability = 1/10
A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
In the diagram, how many circles are there for each square?
DA 1
Answer:
Where is the figure or picture
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answer:
Let x represent the smaller number and y represent the larger number
For the first equation
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's
[tex]y = - \frac{4}{3} x + \frac{31}{3} [/tex]
For the second equation
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
y = 2x + 7Hope this helps you
Answer:
first one (A)
Step-by-step explanation:
How many positive integers of 3 digits each can be formed with the digits 1, 8, 9, 2, 7, 6, 4, and 3, if no digit is repeated in a number? 1. 27 2. 512 3. 336
Answer:
3. [tex]336[/tex]
Step-by-step explanation:
To do this, we will use a premutation. Each number represents the possible choices per digit, respectively.
So, our product will be 8 (total choices) times 7 (total choices not including the already chosen one) times 6 (same story as previous). Multiplying this out will give us 336.
So, the answer is number 3.
Answer:
C. 336
Step-by-step explanation:
how to do this question plz
Answer:
[tex]y=28[/tex]
Step-by-Step Explanation:
Please refer to the attachment below.
So, notice that to find y, we simply need to determine x.
Remember that the area of a parallelogram is given by bh.
We can see that our base is x.
And our height h is half of 14. Therefore, h=7.
So, the area of one parallelogram is:
[tex]A=7x[/tex]
Then the area of four parallelograms is:
[tex]A=4(7x)=28x[/tex]
Since the total area of the shape is 308 squared centimeters. This means that:
[tex]308=28x[/tex]
Therefore:
[tex]x=11[/tex]
Then it follows that:
[tex]\begin{aligned} y&=2x+6\\ &=2(11)+6 \\ &=22+6 \\ &=28\end{aligned}[/tex]
how to calculate 71-5(3)-(4*4)
Answer:
40
Step-by-step explanation:
first do what is in the parentheses (4*4) which is 16 then rewrite the whole equation. 71-5(3)-16. then you'll want to multiply 5 times 3 because if there is no sign before the parentheses then it is automatically multiplication. 5 times 3 is 15. rewrite the equation again. 71-15-16 then simply subtract.
Hope this helps! :)
Work out the surface area of this triangular prism
Answer:
1008 [tex]cm^2[/tex]
Step-by-step explanation:
Given:
Triangular prism with
Base of triangle = 5 + 9 = 14 cm
Height of triangle = 12 cm
Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm
Lengths of faces = 13cm ,14cm and 15 cm respectively
To find:
Total surface area = ?
Solution:
3 faces are rectangular shape and 2 faces are triangular shape.
[tex]Area\ of\ rectangle = Length \times Width[/tex]
The formula for Total Surface Area of a triangular prism is given as:
[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]
So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].
Si incrementa 35% los precio de un restaurante.Si un salmón a la mostaza lo vendía en 28,50 y un pollo al curry en 32,80¿cuales serán los nuevos precios de estos platos?¿cual sera el monto neto que recibirá por plato sin incluir el 18%de igv?
Answer:
Los nuevos precios serán 38.50 por el salmón y 44.30 por el pollo.
El monto neto recibido será 31.57 por el salmón y 36.32 por el pollo.
Step-by-step explanation:
Para resolver este problema primero debemos calcular el 35% del precio de ambos platos para saber cuánto se incrementará su precio.
Salmón a la mostaza:
Precio anterior: 28.50
El 35% de 28.50 es (28.50)(.35) =9.975
Precio nuevo = 28.50 + 9.975 = 38.475 = 38.50
Pollo al curry
Precio anterior: 32.80
El 35% de 32.80 es (32.80)(.35) = 11.48
Precio nuevo = 32.80 + 11.48 = 44.28 = 44.30
Ahora, para calcular el monto neto que recibirá por plato sin incluir el 18% de IGV tenemos que calcular el 82% del precio de cada plato (pues 100 - 18 = 82) y este será el monto neto que se recibirá.
Salmón a la mostaza.
Precio nuevo: 38.50
El 82% de 38.50 es (38.50) (.82) = 31.57
Se recibirá 31.57 por el Salmón a la mostaza.
Pollo al curry
Precio nuevo: 44.30
El 82% de 44.30 es (44.30) (.82) =36.32
Se recibirá 36.32 por el Pollo al curry.
According to the Rational Root Theorem, which is not a possible solution of the
equation 2x4 - 5x3 + 10x2 - 9 = 0 ?
Answer:
5/2
Step-by-step explanation:
Possible rational roots are ...
±(divisor of 9)/(divisor of 2)
So, the possibilities are ...
±1/2, ±1, ±3/2, ±3, ±9/2, ±9
The one on your list that is not among these is 5/2.
5/2 is not a possible rational root.
A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?
The horizontal asymptote y = 30 means that the final concentration will always be less than 30%.
The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
The vertical asymptote x = 500 means that the volume of the solution will always be greater than 500 mL.
The vertical asymptote x = 0 means that the volume of the solution will always be greater than 0 mL.
Pretty sure the answer is B The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
Step-by-step explanation:
Since the 10 % solution that you're adding to the 30% solution is 10% acid when you add it to the 30 acid percent solution it would never decrease the acidity levels farther than 10 percent no matter how much you put because the solution your adding is at a 10% acidity and the other solution is 30% acidity and has a higher acidity level than the 10% so it could never go lower than the solution you are adding to it.
Really hope I did an okay job at explaining.
Answer:
B on edge
Step-by-step explanation:
Passed the test
Calculate the size of the largest angle in the triangle. Give your answer to an appropriate degree of accuracy.
Answer:
110.9° = 111°
Step-by-step explanation:
Given ∆ABC, where
length of side AB = 15 cm,
length of side AC = 7 cm
length of side BC = 11 cm
Required:
Size of largest angle in ∆ABC
SOLUTION:
The size of the largest angle in the triangle is the angle that has the largest side length opposite it.
Therefore, the largest angle in ∆ABC = <C, which has a side length of 15 cm opposite it.
=>Find the angle of C using the Law of Cosine
Cos C = (a² + b² - c²)/2ab
Cos C = (11² + 7² - 15²)/2*11*7
Cos C = (121 + 49 - 225)/154
Cos C = -55/154
Cos C = -0.3571
C = Cos-¹(-0.3571)
C = 110.9° ≈ 111°
What is the range of the function f(x) = 2x + 1 given the Domain D = {-1,0, 1, 2}?
R = {0, 1,3,5)
R= {-1,1,3,5)
R = {-5, -3,-1,1)
R = {0, 1,3,6}
Answer:
R= {-1,1,3,5)
Step-by-step explanation:
To find the range, use the domain values as the input and find the output for the function
Domain D = {-1,0, 1, 2}?
f(x) = 2x + 1
f(-1) = -2 +1 = -1
f(0) = 0 + 1=1
f(1) = 2 + 1 = 3
f(2) = 4 + 1 = 5
The range is { -1,1,3,5}
Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?
Answer:
42 minutes
Step-by-step explanation:
Here we want to calculate the number of minutes ran in total.
Kindly note that;
Time = distance/speed
Her starting speed is 10 miles/hour
but she ran for 12 minutes.
Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour
So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles
Now the rest of distance to run would be ;
5 -2 = 3 miles
She ran 3 miles at a speed of 6 miles per hour.
Time spent here is 3/6 = 0.5 hours which is same as 30 minutes
Total time spent = 30 + 12 = 42 minutes
FUNCTIONS HELP ASAP!!!!!
Answer: A
Step-by-step explanation:
For Kendra to profit $45 after spending $80 she would have to make $125 off of her 100 donuts. Thus, each donut costs 1.25, thus the 1.25n of the equation. However, you must also take into account the 80 dollar fee she paid(Thus the - 80).
Guys, anyone pls help me..
Answer:
formula of circumference =p=theater÷360×2×pie×r
Step-by-step explanation:
so its a right angle.so =90%
the answer is 15.70
round off.=16cm
Answer:
Step-by-step explanation:
1. ON^2=10^2-8^2=100-64=36
ON=V36=6 cm
MON=MO+ON=10+6=16 cm
2. MO=ON=V13^2=12^2=V169-144=V25=5cm
MON=MO=ON=5+5 =10cm
solve each equation for the specified variable 9wr=81 solve for w
Answer:
w = [tex]\frac{9}{r}[/tex]
Step-by-step explanation:
=> [tex]9wr = 81\\[/tex]
Dividing both sides by 9r
=> w = [tex]\frac{81}{9r}[/tex]
=> w = [tex]\frac{9}{r}[/tex]
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?
Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
Could someone pleasee help me in this? May the first answer be the brainliest! :)
Answer:
39.9869 (they would probably round it to 40)
Step-by-step explanation:
Tangent is the main ratio that is used to determine the angle of depression. It may be found by using this equation tan y is equal to opposite divided by the adjacent side. The opposite side, in this case 52m, is the height of the cliff. At the angle of depression, the observer's line of sight would be above the horizontal. In simple, If you are viewing at an object below the horizon then the angle between the horizontal and your line of sight is the angle of depression.
round off 53.96 to the nearest tenth
Answer:
54.0
Step-by-step explanation:
53.96
The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).
Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.
9 + 1 = 10
Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.
53.96
54.00
Since you are focusing on the tenth place, keep the zero sitting on that spot.
54.0
When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.
WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square matrix is zero, its determinant is zero. B. If all numbers in a matrix are equal, its determinant is zero. C. The determinant of any identity matrix is zero. D. The determinant of a matrix with all positive numbers is always positive. E. The determinant of any zero matrix is zero.
Answer:
Option A, B and E
Step-by-step explanation:
Determinant = ad-bc
Let's look at the picture and solve all
Option A)
If the row ( c and d ) is zero, the determinant will be zero
=> a(0)-b(0)
=> 0-0
=> 0 (So, True)
Option B)
If a = b = c = d (Let's say 1), the determinant will be
=> (1)(1)-(1)(1)
=> 1-1
=> 0 (So, True)
Option C)
An Identity matrix is
=> [tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
So , it's determinant will be
=> (1)(1)-(0)(0)
=> 1-0
=> 1 (So, False)
Option D)
The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)
Option E)
A zero matrix is
=> [tex]\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]
So, it's determinant is:
=> (0)(0)-(0)(0)
=> 0-0
=> 0 (So,True)
Answer: A B E
A. If any row of a square matrix is zero, its determinant is zero.
B. If all numbers in a matrix are equal, its determinant is zero.
E. The determinant of any zero matrix is zero
Step-by-step explanation:
edge assignment