Answer:
The answer is [tex]\mathbf{3y^3(x^2 + 4)(x + 2)(x -2)}[/tex]
Step-by-step explanation:
We need to factor [tex]3x^4y^3 - 48y^3[/tex]
Solution:
[tex]3x^4y^3- 48y^3= 3y^3(x^4 – 16)= 3y^3[(x^2)^2 - 4^2]= 3y^3(x^2 + 4)(x^2 - 4)= 3y^3(x^2 + 4)(x^2 - 2^2)= 3y^3(x^2 + 4)(x + 2)(x -2)[/tex]
So, the factorisation of [tex]3x^4y^3 - 48y^3[/tex] is [tex]\mathbf{3y^3(x^2 + 4)(x + 2)(x -2)}[/tex]
The answer is [tex]\mathbf{3y^3(x^2 + 4)(x + 2)(x -2)}[/tex]
A recipe calls for 3 cups of cheese for 12 people. How many cups of cheese for 20 people?
Answer:
5
Step-by-step explanation:
12 divided by 4 = 3
20 divided by 4 = 5
The Woodlands middle school student council has an election coming up. According to a poll of 50 students, selected at random, 35 of the students said that they would vote for Sheyenne as 8th grade class president. If there are 250 students in the 8th grade class, what is a reasonable prediction for the number of votes that Sheyenne will get?
Let k represent the length of a rectangle.
Represent the perimeter when the width is
8 less than the length.
(A) 6k-6
(B) 2k + 16
(C) 4k- 10
(D) 4k - 16
Answer:
6k 2k-6
Step-by-step explanation:
I really need help on this geometry question, please, and thank you.
Answer:
250
Step-by-step explanation:
you have to use the fact that the big triangle and the small triangle are similar and write the proportions
[tex]\frac{125}{10} =\frac{AB}{10}[/tex] we took half of the side because of ΔABD and ΔBD..
AB= (125*10)/10=125
is AB =125 then AC is duble AC= 2*125=250
PLEASE HELP I WILL GIVE BRIANLIEST 15 POINTS!!! What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by y = -4/9x+5
Answer
A y = 4/9x+16
B y = 4/9x-16
C y= 9/4x+81
D y = 9/4x-81
Answer:
Choice D
Step-by-step explanation:
First we should find the slope of the equation, so since it's perpendicular to the other equation that means it's the opposite and the reciprocal of that slope. So the slope is [tex]\frac{9}{4}[/tex].
Now we have to find the y-intercept. We already know the x-intercept, so we could use that to find the y-intercept. For that we need to know the slope and one ordered pair, which is (36,0). Then we plug into this formula [tex]y=mx+b[/tex].
[tex]y=mx+b\\0=\frac{9}{4}(36)+b\\0=81+b\\b=-81[/tex]
So now that we found the y-intercept we just have to put it all together....
[tex]y=\frac{9}{4}x-81[/tex]
If a bakery produces 520 fired pies during an 8 hour shift, what is the production rate per hour of fried pies?
A) 60
B) 65
C) 70
D) 75
Answer:
65
Step-by-step explanation:
B, 65.
Explanation: 520÷8=65.
What is the greatest common factor of 60,70, and 80
Answer:
10
Step-by-step explanation:
Answer: The GCF of 60, 70, and 80 is 10.
Step-by-step explanation: If you think about it, the GCF is definitaly going to be 10. That is because you can multiply 10 to get 60, 70, and 80. There is no other number higher than 10 that can be multiplied by something to get all of these values.
In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠4=30°.
What is m∠8?
Enter your answer in the box.
°
parallel lines A B and C D are cut by a transversal forming 8 angles labeled 1 to 8. The transversal intersecting line A B form angles 1, 2, 3, and 4 clockwise from top left. The transversal intersecting line C D form angles 5, 6, 7, 8 clockwise starting from top left.
Answer:
m∠8 = 30°
Step-by-step explanation:
Since line AB is parallel to line CD, and m∠4 = 30°, therefore:
m∠4 and m∠8 are corresponding angles.corewslinding angles are congruent.
Therefore, this means that their measure would be equal to each other, since they are congruent.
Thus:
m∠8 = 30°
Answer: 30°
Step-by-step explanation:
Question 20 (5 points)
Ruby wrote the standard form of a linear equation as 4x – y =
= 7. Jennifer told her that the equation was not yet in standard form and
gave her the right advice for how to fix it. What advice did Jennifer give to Ruby?
O
Multiply both sides of the equation by 3. The standard form of the equation is 12x - 2y = 21.
Oь
Jennifer told Ruby her equation is already in standard form and there is nothing to correct.
Oc
Multiply both sides of the equation by 3. The standard form of the equation is 12x - 2y = 7
Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x - y = 10.5.
Od
Answer:
Step-by-step explanation:
What you gave 4x – y = 7 is in standard form
The problem on screen
4x-2/3y=7
The standard form is 12x-2y=21
Answer is A
Identify the independent and dependent variable for the given situation. P = (1.05)t
Answer:
P = dependant; t = independant
Step-by-step explanation:
The t value can be changed, making it the indepentant. The value of P changes as the value of t is changed, therefore making it dependant on t, making it the dependant value.
Christine asks you for some help on her math homework by showing you the problem and answer she got.
2x(3x - 1) = 5x2 - 1.0
Is Christine correct with her homework problem? Explain your reasoning,
Answer:
gusto mo lah asa ka ehh
umalis ka ga
ehh kaa
erita
papasok ba si maam
may p.e ba gaun zumba nanaman
HELPPP what’s the slope
Answer:
I'm not 100% sure but I would say -2 being it goes down 2 and to the right 2 times but I know it's negative
Answer:
The slope is -1
Step-by-step explanation:
Down 4 from the first point
right from there 4 points
so it would be -4 over 4
then you simplify
equaling -1.
Will mark brainliest
Write a function for the graph of y=3x+7 after the slope is doubled.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]y=3x+7[/tex]
As we know that the slope-intercept of the line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
so comparing the equation [tex]y=3x+7[/tex] with the slope-intercept of the line equation, we conclude that
[tex]y = 3x+7[/tex]
[tex]m = 3[/tex]
So, the slope of the line is [tex]m = 3[/tex]
As the function is
[tex]y = 3x+7[/tex]
Now, if we double the slope,
The slope will become: 2m = 2(3) = 6
Therefore, the function of the graph after doubling the slope will become:
[tex]y = 6x+7[/tex]
If g(x) = 2 x^2 - 3 x , what is the value of g( - 1 )
Answer:
5
Step-by-step explanation:
2x^2-3x replace x with -1
2(-1)^2-3(-1)
2+3
5
Answer:
g(1)=5
Step-by-step explanation:
[tex]g(x)=2x^2-3x\\We\ find\ g(-1)\ by\ just\ substituting\ x\ with\ -1\ on\ the\ RHS.\\g(-1)=2(-1)^2-3*-1\\g(-1)=2*1+3\\g(-1)=2+3\\g(-1)=5[/tex]
how do we do algebra
Answer:
couldnt tell you i was always bad at algebra
Step-by-step explanation:
En la sala de una casa hay una gran ventana de vidrio, por la que se presenta una pérdida significativa de calor; las medidas de la ventana son 2,5 m x 1,5 m y 2,8 mm de espesor. Hallar la variación de calor en la unidad de tiempo si la temperatura exterior del vidrio es 16°C y la temperatura interior del vidrio es 20°C
Answer:
La variación de calor por unidad de tiempo es 4285.714 watts, es decir, joules por segundo.
Step-by-step explanation:
Asumamos que la transferencia de calor es enteramente por conducción, en estado estable y unidimensional´y que la ventana es representada por una placa plana. Bajo estas consideraciones, la ecuación de conducción es la siguiente:
[tex]\dot Q = \frac{k\cdot w\cdot h}{l}\cdot (T_{i}-T_{o})[/tex] (1)
Donde:
[tex]\dot Q[/tex] - Tasa de transferencia de calor, medida en watts.
[tex]k[/tex] - Conductividad térmica, medida en watts por metro-grado Celsius.
[tex]w[/tex] - Ancho de la ventana de vidrio, medido en metros.
[tex]h[/tex] - Altura de la ventana de vidrio, medida en metros.
[tex]l[/tex] - Espesor de la ventana de vidrio, medida en metros.
[tex]T_{i}[/tex] - Temperatura interior del vidrio, medida en grados Celsius.
[tex]T_{o}[/tex] - Temperatura exterior del vidrio, medida en grados Celsius.
Si conocemos que [tex]k = 0.8\,\frac{W}{m\cdot ^{\circ}C}[/tex], [tex]w = 2.5\,m[/tex], [tex]h = 1.5\,m[/tex], [tex]l = 2.8\times 10^{-3}\,m[/tex], [tex]T_{o} = 16\,^{\circ}C[/tex] y [tex]T_{i} = 20\,^{\circ}C[/tex], entonces la tasa de transferencia de calor es:
[tex]\dot Q = \left[\frac{\left(0.8\,\frac{W}{m\cdot ^{\circ}C} \right)\cdot (2.5\,m)\cdot (1.5\,m)}{2.8\times 10^{-3}\,m} \right]\cdot (20\,^{\circ}C-16\,^{\circ}C)[/tex]
[tex]\dot Q = 4285.714\,W[/tex]
La variación de calor por unidad de tiempo es 4285.714 watts, es decir, joules por segundo.
At an amusement park, only 18 peopel are allowed on a ride at the same tome. There are 157 people waiting in line. Hiw many groups of riders will there be?
Answer:
8 groups
Step-by-step explanation:
just keep taking away 18 till u can't anymore
your welcome
Answer:
Step-by-step explanation:9
1-La funcion lineal que pasa por el punto (3,6) tiene como expresion:
a) Y=3x+6
b) Y=6x-3
c) Y=2x
Answer:
Creo que es b
Step-by-step explanation:
The linear function that passes through the point (3,6) is given by: Option C: [tex]y = 2x[/tex]
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
Checking all the options to see if (3,6) lies on them:
Case 1: [tex]y = 3x + 6[/tex]Usually points are of the form (x,y). Thus, we have: (x,y) = (3,6) means x = 3, and y = 6.
Putting these values in the equation, we get:
[tex]y = 3x + 6\\6 = 3(3) + 6\\6 = 9 + 6\\6 = 15[/tex]
This is wrong. Thus, the point (3,6) doesn't satisfy this equation, and therefore, doesn't lie on its graph.
Case 2: [tex]y = 6x - 3[/tex]Putting x = 3, y = 6 in this equation, we get:
[tex]y = 6x - 3\\6 = 6(3) - 3\\6 = 18 - 3 \\6 = 12[/tex]
This is wrong. Thus, the point (3,6) doesn't satisfy this equation, and therefore, doesn't lie on its graph.
Case 3: [tex]y = 2x[/tex]Putting x = 3, y = 6 in this equation, we get:
[tex]y = 2x\\6 = 3(2)\\6 = 6[/tex]
This is correct. Thus, the point (3,6) satisfy this equation, and therefore, lies on its graph.
Thus, the linear function that passes through the point (3,6) is given by: Option C: [tex]y = 2x[/tex]
Learn more about points lying on graph of a function here:
https://brainly.com/question/1979522
There are 59,429 hockey players in Massachusetts. There is 43,867 hockey players are Connecticut. How many more players are playing in Massachusetts than Connecticut
Answer:
15,562 more players than Connecticut
3. If the math teachers drove 27 miles in 2 hours, how many miles would they have traveled in 4.2 hours?
Hi, I need help with all of these questions! (screenshots included) Thank you! I really appreciate it.
Answer:
I'm unsure about the first one, but the second one is irrational, the third one is option C, the fourth is option b, and the last one is D i believe
Step-by-step explanation:
A cook wants to make enough cookies for 150 students. The cookie recipe makes 1 dozen cookies. A dozen equals 12 cookies.
How many batches does the cook need to make if each student gets one cookie?
Answer:
12.5
Step-by-step explanation:
150 / 12 = 12.5
(I'm not the best at explaining-)
2. Look at the expression below.13.72 x 10 to the 4th power. Which of these answers correctly
solves the equation and provides the correct explanation?
(10 Points)
0.001372; The decimal point moves to the left four times the value of the exponent. when you multiply by 10
to the fourth power since four is the the value of the exponent
137,200; The decimal point moves to the right four times when you multiply by 10 to the fourth power since
four is the value of the exponent
13,720,000; The decimal point moves to the right after adding four zeros to the number since four is the
value of the exponent.
1,372,000; The decimal point moves to the right four times when you multiply by 10 to the fourth power
since four is the value of the exponent.
Answer:
137,200.
Which would be the second option!
find x ASAP pls i’ll love you forever
Answer:
lies
Step-by-step explanation:
which of the following is an extraneous solution of square root 4x+41=x+5
C is the midpoint of segment AB D is the midpoint of segment BC A is located at (4,8) and B is located at (-12,4) what are the coordinates of D
Answer:
coordinates of D are ( -8, 5)
Step-by-step explanation:
- the formula of the coordinates of the midpoint is (x1+x2)/2 & (y1+y2)/2
- first we find midpoint C by using coordinates of points A and B
C => (4 - 12)/2 & (8 + 4)/2
calculate, coordinates of C are ( -4, 6 )
- now find midpoint D by using the coordinates of B and C
D => ( -12 - 4 )/2 & (4 +6)/2
calculate and the coordinates of D are ( -8, 5 )
help pls I will give brainliest! 2
Answer:
The first one is 585 and the second one is 729
Which relation is not a function?
Answer:
b.
Step-by-step explanation:
amy usually swims 20 laps in 30 minutes what is her rate per minutes
Answer:
1.5
Step-by-step explanation:
Because if you divide 30 by 20 you get 1.5 to check if it’s correct you multiple 1.5 by 20
Suraj took a slice of pizza from the freezer and put it in the oven. The pizza was heated at a constant rate.
The table compares the pizza's temperature (in degrees Celsius) and the time since Suraj started heating it in
minutes)
Time (minutes)
Temperature (degrees Celsius)
4
25
6
40
8
55
How long did it take the pizza to reach 100 degrees Celsius?
minutes
Answer:
Step-by-step explanation:
4 25
6 40
8 55
10 70
12 85
14 100
It would've taken him 14 minutes. for every 2 minutes, the temperature went up 15 degrees.
