Answer:
Each student gets 575 gram of clay
Step-by-step explanation:
1 kg = 1000 g
Mass of the total clay = 6.9 kg = 6.9 * 1000 = 6900.0 = 6900 g
Clay received by each student = Total / Number of students
= 6900 / 12
= 575 g
Which statement describes the domain of the function f (x) = StartFraction 3 x Over 4 x squared minus 4 EndFraction?
all real numbers
all nonzero real numbers
all real numbers except x = Three-fourths
all real numbers except x = –1 and x = 1
Answer:
D
Step-by-step explanation:
i just used desmos, never touches x=1 or x=-1
The domain of a function is the set of x values for which it is defined. The correct option is D.
What is the domain and range of a function?The domain of a function is the set of x values for which it is defined, whereas the range is the set of y values for which it is defined.
To find the domain of the function it needed to be simplified. Therefore, the function can be rewritten as,
[tex]f(x) = \dfrac{3x}{4x^2-4}\\\\f(x) = \dfrac{3x}{4(x^2-1)}[/tex]
As it can be seen that for the fraction of the value of x is kept -1 or 1, then the denominator of the function will become zero, which is undefined.
Hence, the domain of the given function is all real numbers except x = –1 and x = 1.
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In the expression below, what term will be distributed?
-3x?( 7x2 - x +4)
Answer:
-3x
Step-by-step explanation:
-3x( 7x2 - x +4)
When we distribute, the term on the outside of the parentheses is distributed ( multiplied) to the terms on the inside of the parentheses
-3x* 7x^2 -3x*-x -3x+4
-21x^3 +3x^2 -12x
(pls hurry)This cylinder is cut by the plane shown. The plane is parallel to the base of the cylinder. What is the shape of the cross-section?
Answer:
circle
Step-by-step explanation:
i believe i've done this question and it was circle
(01.02 LC)Simplify 9 − (−4).
Answer:
13
Step-by-step explanation:
When we subtract a negative, it is like adding
9 - -4
9 +4
13
Answer:
13
Step-by-step explanation:
Which statement is true about Angle C P B?
Lines C D and A B intersect at point P.
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.
Sorry, I don't know how to add pictures yet...
Answer:
It is congruent to Angle A P C
Step-by-step explanation:
Vertical angles are the angles opposite each other when two lines cross. They are always congruent.
In this problem we have that
-----> by vertical angles
see the attached figure to better understand the problem
therefore
It is congruent to Angle A P C
The True statement about <CPB is It is supplementary to angle APC.
The correct option is (B).
What is Supplementary Angle?In mathematics, the definition of supplementary relates to angles that combine to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles complement one another
It has an acute angle on one side and an obtuse angle on the other.The two angles are both right angles.The two angles do not have to be adjacent to form a straight line.As, when two angles that when added together equal 180 degrees is Supplementary Angle.
From the figure if we add <CPB and <APC forms the straight line gives the angle 180 degree.
i.e., <CPB + <APC = 180
or, <CPC= 180- <APC
So, <CPB is supplementary to angle APC.
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A line is drawn on a scatter plot as shown below.
which statement best describes the line?
A. it cannot be the line of best fit because does not show a positive linear relationship
B. it cannot be the line of best fit because it does not pass through all the data points
C. it can be the line of best fit because it passes through all the data points
D. it can be the line of best fit because it closely fits the data points
Answer:
D. It closely fits the data points.
Step-by-step explanation:
This is a negative linear relationship.
It's not possible to draw a straight line through all the points but D is pretty close to the points on the plot.
What’s the answer too 22+24
Answer:
46
Step-by-step explanation:
22
24 +
------
46
Just add the 4+2= 6 and 2+2= 4 and flip, so 46 is the final answer.
Solve for z-
-0.25z = -1.25
z = ___
Answer:
5
Step-by-step explanation:
The value of z in the equation -0.25z = -1.25 is simplified to z = 5.
To solve for z in the equation -0.25z = -1.25, we need to isolate z by performing the necessary operations.
We can start by dividing both sides of the equation by -0.25 to cancel out the coefficient of z:
-0.25z / -0.25 = -1.25 / -0.25
This simplifies to:
z = 5
Therefore, the value of z in the equation -0.25z = -1.25 is z = 5.
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A cube has a side length of 10 meters. What is the volume of the cube?
10 m3
10,000 m3
1000 m3
100 m3
Answer:
10,000 i think
Step-by-step explanation:
The function f(x) is given by the set of order pairs.
{(1,0) (-10,2), (0,6) (3,17),(-2,-1)}
Which equation is true?
f(-10) = 1
f(2) = -10
f(0) = 6
f(1) = - 10
Answer:
option a)
Step-by-step explanation:
mark my answer thank you!
Answer:
The correct answer is f(-10)=1
I hope I helped!! :)
Given the following exponential function, what is the initial amount y 60(1.71)^x?
Answer:
60
Step-by-step explanation:
The initial y value can be found by setting x to 0. Anything to the power of 0 is 1, so 1.71^x when x is 0 is just 1. 60*1=60, which is the initial y value. Hope this helps!
The initial amount 'y' of the exponential function [tex]y = 60(1.71)^x[/tex] is 60. This value represents the function's y-intercept, the amount present before any exponential growth occurs.
The student has provided an exponential function and wishes to know the initial amount, which can be expressed as 'y' in the function [tex]y = 60(1.71)^x[/tex]. The initial amount when x=0 is the coefficient of the exponential term. For this function, when x equals 0,[tex](1.71)^0[/tex] is 1, since any number raised to the power of 0 is 1. Therefore, the initial amount or the y-intercept of this function is 60.
This value represents the starting quantity before any growth (or decay if the base were less than 1) has occurred in the context of the function. It is important to note that the base of the exponential function (1.71 in this case) indicates the rate of growth per unit increase of the variable x
*ANSWER CORRECTLY FOR BRAINLISEST*
Answer:
Step-by-step explanation:
Mean = sum of all the data / Number of items
[tex]=\frac{26+30+45+43+26+14+28+33+56+29}{10}\\\\=\frac{330}{10}[/tex]
= 33
Answer:
oof my school blocked the picture
Step-by-step explanation:
which equation describes the line with a slope of 5 and y-intercept of -3
answers :
y= -3x + 5
y= 3x - 5
y= 5x - 3
y= 5x + 3
The equation representing the line with the slope of 5 and y-intercept of -3 is y=5x-3. This answer is derived from substituting these values into the standard line equation y=mx+b.
Explanation:The equation of a line is generally given by the formula y=mx+b, where m is the slope of the line and b is the y-intercept of the line.
If the slope is 5 and the y-intercept is -3, and we plug these values into the standard formula, we get y=5x-3. Hence, the equation that describes the line with a slope of 5 and y-intercept of -3 is y=5x-3.
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Suppose the point (a, b) lies in the first quadrant. Describe how you would move
from the point (a,b) to the point (a, -b).
Answer:
To move from (a, b) to (a, -b) move down 2b. The point (a, -b) would be in quadrant 4 and would be a reflection across the x-axis of the point (a, b)
Step-by-step explanation:
Can anyone plzzzz helpn
Thank you
Answer:
200 square feet
Step-by-step explanation:
The formula for the lateral surface area of a square pyramid is [tex]a\sqrt{a^2+4h^2}[/tex], where a is the side length and h is the height of the pyramid. The first step is therefore to find the height of the pyramid. Using the pythagorean theorem, you can find that it is [tex]\sqrt{10^2-5^2}=5\sqrt{3}[/tex]. Plugging in our known values into the equation, you get [tex]10\sqrt{10^2+4(5\sqrt{3})^2}=10\sqrt{100+300}=10\cdot 20=200[/tex]. Hope this helps!
What is the area of a circle with a radius of 7 cm? (Use 3.14 for , and round to the nearest tenth.)
38.5 cm?
44.0 cm?
150.0 cm
153.9 cm?
so the right answer is 153.9 cm ^2
Look at the attached picture ⤴
Hope it will help u....
Answer:
so the right answer is 153.9 cm ^2
Look at the attached picture ⤴
Hope it will help u....
Step-by-step explanation:
please help me with this question. "line segment AB is drawb on the grid with endpoints A(0,8) and B(6,0). Using only a straightedge and the grid itself divide AB into 4 congruent segments. Explain how you did this and why it works" please explain too
Answer:
10/4
Step-by-step explanation:
We can use the pythagorem theorem to solve for what is AB
6^2+8^2= c^2
36+64= c^2
100=c^2
c= 10= AB
Since we know that AB is 10 then we can divide it by 4
10/4
an item is regularly priced at $37. Bill bought it at a discount of 85% off the regular price. Find out how much Bill paid
Answer:
5.55
Step-by-step explanation:
Answer:
5.55
Step-by-step explanation:
If you find how much 85% is of 37 you will get 31.45, so you have to subtract 31.45 from 37 to find out how much he paid for I think :) Hope this helps
PLEASE HELP
Arrange the functions in order from least to greatest rate of change.
Y=3/4 x -10
Y= 3/2 x 11/2
Y=1/2 x -2
Y=5/2 x +10
Answer:
Step-by-step explanation:
1. 1/2 *-2= -1
2. 3/4 *-10= -7.5
3. 3/2 *11/2= -8.25
4. 5/2 *+10= 25
hope this helps please give brainiest if right
the functions in order from least to greatest rate of change.
[tex]y=\frac{1}{2}x-2\\y=\frac{3}{4}x-10 \\y=\frac{3}{2}x+\frac{11}{2}\\y=\frac{5}{2}x+10\\[/tex]
Rate of change:
Slope of a line is the rate of change. Slope of a line tells us the steepness of the line. Equation of a line of the form y=mx+b
where m is the slope that is the rate of change.
Find the rate of change from each equation
[tex]y=\frac{3}{4}x-10\\slope =\frac{3}{4}\\\\y=\frac{3}{2}x+\frac{11}{2}\\slope =\frac{3}{2}\\\\y=\frac{1}{2}x-2\\slope =\frac{1}{2}\\\\y=\frac{5}{2}x+10\\slope =\frac{5}{2}\\[/tex]
Now we compare all the slopes
Slopes are the rate of change
[tex]slope =\frac{3}{4}\\ slope =\frac{3}{2}\\slope =\frac{1}{2}\\ slope =\frac{5}{2}\\\\\frac{1}{2} < \frac{3}{4} < \frac{3}{2} < \frac{5}{2}\\[/tex]
The function from least to greatest rate of change is
[tex]y=\frac{1}{2}x-2\\y=\frac{3}{4}x-10 \\y=\frac{3}{2}x+\frac{11}{2}\\y=\frac{5}{2}x+10\\[/tex]
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The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A.Use the distance formula to find the length of each side, and then add the lengths.
B.Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
C.Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
D.Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Answer:
Its A!!!! trust me
Step-by-step explanation:
If you are given the endpoints of the diameter of a circle, which equatior
can you use to find the center?
Answer:
midpoint formula
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ), then
midpoint = [[tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
Liam says - (5/12) is equivalent to 5/-12. Explain if Liam is correct by completing the statements below.
A positive number divided by a positive number results in a negative quotient, and it's opposite is always positive. The fraction 5/-12 can be described as a positive number divided by a negative number, which always results in a negative quotient. The fractions have different value, so Liam is not correct.
Answer:
Answers in Order On I-Ready: Positive/Negative/Positive/Different/Not Correct
Hanah's necklace is 10 1/5 inches long.Erin's necklace is 2 2/3 times as long. About how long erin's necklace
Answer:
I think it's 2.7 but I'm not sure
what is the diameter and radius of a circle with a circumference of 78?
Answer:
D:24.83
Step-by-step explanation:
Answer: d = 24.83 r = 12.41
what is the slope of the line that passed through (3,-4) and (4,9)
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{9-(-4)}{4-3}[/tex]
[tex]m =\frac{9+4}{1}[/tex]
[tex]m=13[/tex]
Answer: The slope is 13
Which sequence of transformations would yield a triangle similar to the original triangle but not congruent?
A) rotation and dilation
B) reflection and rotation
C) translation and rotation
D) reflection and translation
Answer:
dilation and rotation.
Step-by-step explanation:
Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet. Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle. The distance between grid lines is 4 feet. The viewing area of a camera is shown on a grid. The grid is 48 feet by 48 feet, with each square having side lengths of 4 feet. The camera has a triangular viewing area of 128 feet squared. The right triangle has 2 side lengths of 16 feet. How many cameras will be necessary to cover the entire store? 6, 9, 12, 18
She would need 18 cameras
Answer:
18
Step-by-step explanation:
PLZ ANSWER I HAVE A LIMITIED %IME TO ANSWER THIS QUESTION!!!
THIS IS MULTIPULE CHOICE QUESTION
Which option best illustrates the commutative property of multiplication?
a: n x 0 = n
b: n x 1 = n
c: n x 0 = n
d: n x 3 = 3 x n
Answer:
D.
Step-by-step explanation:
the commutative property of multiplication is that the numbers can be multiplied in any order and still get the same answer. which means n x 3 will get the same answer as 3 x n. Hope this helps!
Answer:
D
Step-by-step explanation:
why did you report me for telling you D? wth
I will need help how to work on it and answer
Answer: [tex]\frac{48}{100}[/tex]
Step-by-step explanation:
It says the total number of participants is 100, and the total number of male participants are 48.
Therefore, your fraction is 48/100, the number of males divided by the total participants
M-line is a company that prints and sells custom designs on t shirts. For each order, they charge an initial design fee and then an additional fee for each printed t shirt. M- line charges M euros per order. This charge is modeled by the lunar function M (x) = 5x + 40, where x is the number of t shirts in the order. Write down the initial design fee charged for each order.
Answer:
The initial design fee charged per order is 40
Step-by-step explanation:
From the question, we are told that the company charges an initial design fee then additional fee for each printed t shirt
Therefore, if the cost of an order is y, we have;
y = m·x+i
Where:
i = Initial design charge
m = additional fee for each printed shirt
x = number of shirts
Comparing the above equation with the given equation we have
y = m·x + i
M (x) = 5·x + 40
Hence, where M(x) = y = Charge per order, then it is noted that the coefficient of x is the additional fee per printed shirt, therefore, the initial design fee charged per order, i is equivalent to 40
Hence the initial design fee charged per order = 40.