Answer:
f(x)=104x
Step-by-step explanation:
f(x)=4(13)4x
f(x)=52*4x
f(x)=104x
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 28 gallons of water and Hank's aquarium hold 38 gallons of water. The aquarium holds two types of fish, fish A and fish B. If Marta bought 3 of fish A and 2 of fish B, and Hank bought 3 of fish A and 4 of fish B, how long is fish A and how long is fish B?
Answer: Fish A is 3 inches and Fish B is 2 inches.
Step-by-step explanation:
The equation of a plane which passes through (2,−3,1) and is normal to the line joining the points (3,4,−1) and (2,−1,5) is given by?
Answer: We can find the equation of a plane in point-normal form, which is given by:
Ax + By + Cz + D = 0
where (A, B, C) is the normal vector to the plane and (x, y, z) are the coordinates of any point on the plane, and D is a constant.
To find the normal vector, we can use the cross product of two vectors that lie on the plane. A convenient choice for these vectors is the direction vector of the line, which is given by:
v = <2-3, -1-4, 5-(-1)> = < -1, -5, 6 >
The normal vector to the plane is given by the cross product of the direction vector of the line and the vector pointing from any point on the line to the point (2,-3,1). Let's call this vector v2 = <2-3, -3-4, 1-(-1)> = < -1, -7, 2>
So the normal vector is given by:
n = v x v2 = ( -52 + 6-7)i + (6*-1 - -12)j + (-1-7 - -5*2)k = (14)i + (-7)j + (-11)k
Given that the point (2,-3,1) lies on the plane, we can substitute these values in the point-normal form equation:
A2 + B-3 + C*1 + D = 0
-142 + -7-3 + -11*1 + D = 0
-28 - 21 - 11 + D = 0
D = 58
So the equation of the plane is :
14x - 7y - 11z + 58 = 0
This is the equation that represents the plane that passes through (2,−3,1) and is normal to the line joining the points (3,4,−1) and (2,−1,5)
Step-by-step explanation:
At the conclusion of the video, your classmate takes out his or her calculator and says, “Wow that was amazing! That means the dog went about 5 meters in 1 second!” Is your classmate correct, and how do you know?
Video Link Below
Answer:
well you did not add the link but, if you think about it, dogs cant run that fast .so from what i can tell from common sense its probably wrong. if that helps....
Step-by-step explanation:
The diameter of a hat is 6.8 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
2.17 inches
10.68 inches
21.35 inches
36.29 inches
The required distance around the hat is approximately 21.35 inches. Option C is correct.
What is the circumference of the circle?To find the circumference of a circle, we use the formula C = πd, where C is the circumference, π is the mathematical constant pi (approximately equal to 3.14), and d is the diameter of the circle.
Here,
The distance around a circle is given by the formula circumference = π × diameter.
Substituting the given values, we get:
circumference = 3.14 × 6.8
circumference = 21.352
Rounding to the nearest hundredth, we get:
circumference ≈ 21.35 inches
Therefore, the distance around the hat is approximately 21.35 inches.
Learn more about circumference here:
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I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Please solve this equation
-3(5-2z)=z+10
Please answer
I will report bot
Answer:
We can see from the table that 1 km is exactly half way between 2 and 3 laps. So it will take 2.5 laps to run 1 km.
Since it takes Angel 2 minutes to run 1 lap, she will take
2.5 laps1 km⋅2 minutes1 lap=5 minutes1 km.
So it takes Angel 5 minutes to run 1 km.
Since it takes Jayden 5 minutes to runs 3 laps, she runs 1 lap in 53 minutes. Thus, it takes Jayden
2.5 laps1 km⋅5 minutes3 laps=52⋅53 minutes/km=256 minutes/km=416 minutes/km.
So it takes Jayden 416 minutes to run 1 km.
Step-by-step explanation:
i actually dont know what the answer-answer is but i think this will help alot.
Answer:
Step-by-step explanation:
Distance traveled in 2 minutes by Angel = 2/5 kilo meter
Distance traveled in 1 minute by Angel = \(\frac{2}{5}\) ÷ 2
\(=\frac{2}{5}*\frac{1}{2}\)
= 1/5 kilometer
Place the LETTER in the smallest set that contains that value
Devon subtracts a positive number from a lesser positive number. what will the resulting difference be? will it be a negative or positive number?
Answer:
Negative
Step-by-step explanation:
Answer:
It is negative
Step-by-step explanation:
Solve for a: -4.5 = a - 8
Answer:
3.5=a
Step-by-step explanation:
-4.5 = a - 8
+8 +8
3.5=a
your welcome
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A)19
B)17
C)16
D)20
Answer:
17
Step-by-step explanation:
it occurs the most number of times
Answer:
17
Step-by-step explanation:
mode = most occuring number in a data set
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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order the values from least to greatest |-16|, 10, |25|, -16, |-43|
Answer:
-16, 10, 16, 25, 43
Step-by-step explanation
when you have something in absolute value bars it's always going to be positive so you would make -16 regular 16; and 10 stays 10; 25 stays 25; -16 stays - 16; and then -43 turns into regular 43
Answer:
-16, 10, 16, 25, 43
Step-by-step explanation:
If it has the bars around it and its a negative number it turns into a posotive
Read the following description of a relationship:
Dakota started downloading a movie on her phone, but lost connection after 36
MB had downloaded. She finished downloading at home at a speed of 63 MB per
second.
Let s represent the number of seconds downloading at home and m represent
the total number of MB downloaded.
Find the value of m when s = 2.
m = ?
Answer:
m = 162
36 + 63s = m
36 + 63(2) = m
36 + 126 = m
162 = m
Help!!! Show your work
27.
use neative rule
1 / (1/4 )
then invert and multiply
answer 4
28.
negative rule
1 / (2/5) ^2
then division dis
1 / (2^2/5^2)
simplify 2^2 to 4
then simplift 5^2 to 25
invert and mul
answer 25/4
29.
negative rule
1/ (-1/3^3)
then division dis
1 / (-1/3^3)
simplify 3^3 to 27
move negative sign to left
invert
answer -27
30.
negative rule
1 / (-2/3)^3
since the power of 3 is odd, the result will be negative
1/ -(2/3)^3
division dis
1/ - (2^3 / 3^3)
simplify 2^3 to 8
simplify 3^3 to 27
move negative sign to left
invert
- 1 / - (8/27)
answer - 27/8
The sides of a square field are 12 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How far does the sprinkler travel in 2 revolutions? How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth.
Please help me
Please help me find the radius of the button.
Answer:
The radius of given Circle is 13 mm
Step-by-step explanation:
For a given Circle
Diameter (d) = 26 mm
For Radius (r) = Diameter/2
r = d/2
= 26/2
r = 13 mm
Thus, The radius of given Circle is 13 mm
-TheUnknownScientist
solve for x
x+y=-6
:D
Answer:
x=−y−6
Step-by-step explanation:
x+y=−6
Add -y to both sides.
x+y+−y=−6+−y
x=−y−6
Helppppp please!!!! the question is in the attachment
Answer:
Step-by-step explanation:
The number 1032 is called the numerator or dividend, and the number 43 is called the denominator or divisor.
The quotient of 1032 and 43, the ratio of 1032 and 43, as well as the fraction of 1032 and 43 all mean (almost) the same:
1032 divided by 43, often written as 1032/43.
1032 divided by 43 in decimal = 24
1032 divided by 43 in fraction = 1032/43
1032 divided by 43 in percentage = 2400%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 1032 and 43, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 1032, and the denominator, e.g. 43, have been inserted.
The quotient and remainder of 1032 divided by 43 = 24 R 0
The quotient (integer division) of 1032/43 equals 24; the remainder (“left over”) is 0.
1032 is the dividend, and 43 is the divisor.
haaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaalp
Answer: \(A=16c^2+32cd+16d^2\)
Step-by-step explanation:
The formula for area of a square is \(A=l*w\), where A is area, l is length, and w is width. Since all sides of a square is equal, we just multiply 4c+4d by itself.
\(A=(4c+4d)*(4c+4d)\) [distribute]
\(A=16c^2+16cd+16cd+16d^2\) [combine like terms]
\(A=16c^2+32cd+16d^2\)
Therefore, the area is \(A=16c^2+32cd+16d^2\).
20% of the students in Mrs. Sosa’s class like veggie pizza. If there are 50 students in the class, how many students like veggie pizza?
Answer:
10 students like veggie pizza
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
20% is equivalent to 0.2. If we do the math 50 x 0.2, we get 10.
Solving 50 x 0.2:
50 x 0.2 | Move the decimal right once to make a whole in 0.2, move the decimal left one (because we are doing multiplication) in 50.
5.0 x 02 | Remove any unnecessary 0s.
5 x 2 | Solve.
10 | Answer.
50 x 0.2 = 10
Camille and her 3 teammates ran a 1500-meter relay in 5.564 minutes. What was the average running time for each team member?
Rewrite this expression using fewer terms.
3(x - 2) + 4(x - 2) – 5(x - 2)
Answer:
2x−4
Step-by-step explanation:
Simplify.
Distribute:
=(3)(x)+(3)(−2)+(4)(x)+(4)(−2)+(−5)(x)+(−5)(−2)
=3x+−6+4x+−8+−5x+10
Combine Like Terms:
=3x+−6+4x+−8+−5x+10
=(3x+4x+−5x)+(−6+−8+10)
=2x+−4
Cheers! :)
PS: I got a question worth 30 POINTS ANYONE WANT TO ANSWER?
Hey!!
Solution,
3(x-2)+4(x-2)-5(x-2)
= 3x-6+4x-8-5x+10
= 3x+4x-5x-6-8+10
= 7x-5x-14+10
= 2x-4
=2(x-2)
hope it helps..
Identifying Ways to Live a Healthier Life, NEED HELP ASP!!!!!!!!
Answer: blank 1: regulate
blank 2: the amount
blank 3: doctors
Step-by-step explanation:
Prism A is a dilation of Prism B. The height of Prism A is 6 1/2 ft, and the volume of Prism A is 87 3/4 ft³. The height of Prism B is 3 1/4 ft.
What is the volume of Prism B?
SOLVE THIS!!!! -8(x - 4) = n - 40
\(\large\color{lime}\boxed{\colorbox{black}{Answer : - }}\)
\(-8(x-4)=n-40\)
\(Use \: the \: distributive \: property \: to \: \\ multiply \: -8 \: by \: x-4.\)
\(-8x+32=n-40 \)
\(Swap \: sides \: so \: that \: all \\ variable \: terms \: are \: on \: the \: left \\ hand \: side.\)
\(n-40=-8x+32 \)
\(Add \: 40 \: to \: both \: sides.\)
\(n=-8x+32+40 \)
\(Add \: 32 \: and \: 40 \: to \: get \: 72.\)
\( \color{blue}n=-8x+72 \)
Which polygon is irregular?
Answer:
d
Step-by-step explanation:
polygons are atleast 5 sides or more
Luca has 15
34 yards of fabric. He is going to use two thirds of the fabric to make a banner. How much of the fabric will be used for the banner?
Choices I have: 10 1/2 15 6/8 10 2/3
Answer:10 question 1/2
Step-by-step explanation:
Please Help
I need an answer ASAP