Answer:
f(4)>g(4)
Step-by-step explanation:
f(x)=3x^5 , f(4)= 3072
g(x)=11*4^x when x=4 then g(4)=2816
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog Three-fifths milligram of the medicine, which equation relates the weight, w, and the dosage, d? d = StartFraction 1 Over 50 EndFraction w d = three-fifths w d = 18 w d = 50 w
Answer:
Step-by-step explanation:
A direct variation equation is of the form
y = kx,
where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.
We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is
d = kw and we need to find k in order to have the model for dosing the animals.
[tex]\frac{3}{5} =k(30)[/tex]
Divide both sides by 1/30 to get k alone.
[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and
[tex]k=\frac{1}{50}[/tex]
Our model then is
[tex]d=\frac{1}{50}w[/tex]
This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.
Answer:
A
Step-by-step explanation:
Find 310% of 150. a number blank
Answer:
465
Step-by-step explanation:
Of means multiply
310% * 150
Change to decimal form
3.10 * 150
465
Answer:
465
Step-by-step explanation:
1 percent of 150 is 1.5.
Multiply 1.5 by 310 to 465
Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:B
Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero
Answer: I believe it’s B
Step-by-step explanation:
Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.
Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.
For the following geometric sequence find the explicit formula: {-1, 3, -9,...}
Answer:
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is
[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]
A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
The function g(x) is a transformation of f(x), and g(x) = f(x) + 2. What type of transformation of f(x) is g(x)? A. dilation B. horizontal translation C. reflection D. vertical translation
Answer:
This is called a vertical translation, which is answer D.
Step-by-step explanation:
Given: g(x) = f(x) + 2.
This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).
The type of transformation is called a vertical translation, which is answer D.
Need help people pls
the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.
4. Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warmer is the melting point of mercury than the freezing point of alcohol?
Answer:
75 degrees Celsius
Step-by-step explanation:
-114 - -39 = -75
Cathy used a probability simulator to pull three colored marbles from a bag and flip a coin 50 times. The results are shown in the table below. Using Kathy’s simulation, what is the probability of pulling a blue marble in the coin landing tails up?
Answer:
blue marble 12/50. tails 20/50
Step-by-step explanation:
12/50×20/50 =240/2500= 12/125 =9.6%
Answer:
12/50
Step-by-step explanation:
Help meeeeeeeeeeeeeee!!!!!!
Answer:
2x+3=9
2x=6
x=3
3w-1=14
3w=15
w=5
7y+2=30
7y=28
y=4
5x+20=35
5x=15
x=3
6c-12=48
6c=60
c=10
8m-4=20
8m=24
m=3
7w+13=90
7w=77
w=11
12p-18=30
12p=48
p=4
9w-5=67
9w=72
w=8
10a+40=100
10a=60
a=6
9x-24=84
9x=108
x=12
7w+1=1
7w=0
w=0
your welcome
Answer:
The answers will be listed below:
A. [tex]x=3[/tex]
B. [tex]w=5[/tex]
C. [tex]y=4[/tex]
D. [tex]x=3[/tex]
E. [tex]c=10[/tex]
F. [tex]m=3[/tex]
G.[tex]w=11[/tex]
H. [tex]p=4[/tex]
I. [tex]w=8[/tex]
J. [tex]a=6[/tex]
K. [tex]x=12[/tex]
L.[tex]w=0[/tex]
I would show how to do it but it will take to long.
Here's for the last one
Hope this helps.
Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left
Answer:
7/10 or 0.7 or 70% left.
Step-by-step explanation:
Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.
Answer: 21/30
Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3
6+3=9
30-9=21
Therefore Simon has 21/30 cakes left
I hope it helps
Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2
If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.
Which graph do we get when the leading coefficient is negative?Here we start with the polynomial:
[tex]f(x) = 2x^4 + 2x + 2[/tex]
The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.
Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).
The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.
If you want to learn more about polynomials:
https://brainly.com/question/4142886
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Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1
Answer:
D
Step-by-step explanation:
I took the test, dont listen to the person above me:)
Answer:
y<x+1
Step-by-step explanation:
How long is 139.5 minutes
Answer:
[tex]\mathrm{2.325 \: hours}[/tex]
Step-by-step explanation:
[tex]\frac{139.5}{60}=2.325[/tex]
[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]
quick plz....When √98- √128 is simplified it is equal to:
A,15√2
B, -√30
C. -√2
D. 10√3
Answer:
[tex]-\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{98} -\sqrt{128}[/tex]
[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]
[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]
[tex]7\sqrt{2}-8\sqrt{2}[/tex]
[tex]=-\sqrt{2}[/tex]
Is (1, 2) a solution of the system y>2x and x+y<3?
Answer:
no
Step-by-step explanation:
Let's check the first statement. 1 > 2 * 2 becomes 1 > 4. This is a false statement so the answer is no.
It is not a solution. 2x=2 and 2 is not bigger than 2 (which is y).
x+y = 1+2=3. # is not bigger than 3.
What is a regular Polygon? Name all the types of polygon.(HELP ASAP)
Answer:
A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...
Can somebody help me with this ?? :)
Answer:
A.
Step-by-step explanation:
We have AC = DF, ∠A =∠D, so
we need AB = DE.
We get SAS congruence.
Which line segment is only a chord of F?
Answer:
line AB is a chordStep-by-step explanation:
Any line that segments a circle and joins two points at the circumference of a circle is called a chord.
line AB is a chord
While
line EC is a diameter
line DF is a radius
Answer:
Correct Answer should be AB
Step-by-step explanation:
I toke the quiz so I know its correct
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .
Complete Question:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:
a) Find an expression for the revenue per hour as a function of x, R(x)
b) Find and simplify, R(x(t))
Answer:
a) R(x) = 2x
b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]
Step-by-step explanation:
a) This is a very trivial exercise.
[tex]x(t) = -4t^2 + 20t + 60[/tex]
The number of hot dogs sold per hour is given by x
Charge per hot dog = $2
An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x
b) [tex]x(t) = -4t^2 + 20t + 60[/tex]
R(x(t)) = 2(x(t))
[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]
Abcd is a rectangle.
(25 POINTS) Write the inequality of the following graph?
Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2
Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)
Answer:
the answer is (4 + 21)(3-51) = (3-51)(4+ 21)
The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).
What is Commutative Property?The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.
According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.
Let A and B be the two integers, then;
A × B = B × A
As, we know commutative Property supports multiplication and Addition.
First, (4 + 21) = (21 + 4)
This is Commutative Property of Addition.
Second, (4 + 21)(3-51) = (3-51)(4 + 21)
This is Commutative Property of Multiplication
Third, (4 + 21(3-51) = (4 + 21)(3-51(1)
No property can be applied.
Fourth, (4 + 21) = (4 + 21 + 0)
This is expansion.
Learn more about Commutative Property here:
https://brainly.com/question/778086
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please answer very quickly
Answer:
ABD
Step-by-step explanation:
1) a × a 2) a × a × a 3) b × b × b × b 4) a × a × b × b 5) a × a × a × b × b 6) a × a × b × a 7) a × b × a × a × b 8) b × a × a × a × b
Answer:
1) [tex]a^2[/tex]
2) [tex]a^3[/tex]
3) [tex]b^4[/tex]
4) [tex]a^2b^2[/tex]
5) [tex]a^3b^2[/tex]
6) [tex]a^3b[/tex]
7) [tex]a^3b^2[/tex]
8) [tex]a^3b^2[/tex]
Step-by-step explanation:
1) a × a = [tex]a^2[/tex]
2) a × a × a = [tex]a^3[/tex]
3) b × b × b × b = [tex]b^4[/tex]
4) a × a × b × b = [tex]a^2b^2[/tex]
5) a × a × a × b × b = [tex]a^3b^2[/tex]
6) a × a × b × a = [tex]a^3b[/tex]
7) a × b × a × a × b = [tex]a^3b^2[/tex]
8) b × a × a × a × b = [tex]a^3b^2[/tex]
Answer:
What is the question?
Step-by-step explanation:
3x2 + 2x - 5 and -4 + 7x2
Answer:
3×2+2x-5
6-5+2x
1+2x
-4+7×2
-4+14
10
Alhondro wants to determine the average shoe size of all of male students in his school
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?
Answer:
He's descending at a pace of 2.3 meters per minute.
Step-by-step explanation:
This is because the equation shows us the slope or the speed he's going at.
A= -2.3t - 7
A= Altitude
-2.3 = Slope
- 7 is his starting altitude in meters
But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.
And you graph it to see the progression in slope.