Answer:
Colour of coat
Step-by-step explanation:
We are told that the veterinarian wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health.
In randomized block design, blocking is the arrangement of experimental units in groups known as blocks which are similar to one another.
Looking at the options given, by blocking on size, age or dog breed, the source of variability which led to the inconclusiveness initially would be controlled which then leads to a greater accuracy in result. Since there can be big, medium and small size of dog: there can be older or younger dogs: there can be different type of dog breeds as well. All these can likely affect the results of the experiment.
Whereas, blocking on colour of coat is not an appropriate variable because it has no effect on the experiment.
Which of these angles are the alternate interior angles theorem?
ECA = BAD
CAE=BAD
ECA=BDA
ECA=DBA
Answer:
C. ECA = BDA
Step-by-step explanation:
An angle is said to be produced whenever two or more lines meet at a point. An interior angle is an angle form within two lines meeting at a point. Then, alternate interior angles are internal angles that are equal due to alternate theorem. These angles should have equal measures.
From the given question, the alternate interior angles by the theorem is;
ECA = BDA
By the alternate interior angle theorem, the alternate interior angles are ECA and BDA. This implies that the measure of <ECA should be equal to the measure of <BDA.
one - step adding/ subtraction equation / multiplication/ division problems
The height of the water in an above ground pool is 36 inches. The pool needs to be drained. As the water drains, the height of the water changes at a rate of -1/2 inch per minute. Write and solve and equation to find out how many minutes it will take to drain the pool.
Answer:
It would take x = 72 minutes to drain the pool.
Step-by-step explanation:
We know that the slope-intercept form of the line equation is
[tex]y = mx+b[/tex]
where m is the rate of change or slope and b is the y-intercept
Let 'y' be the height of the water poolLet 'x' be the time in the minute of the water poolAs the height of the water of the pool is 36 inches, meaning the basic condition of the pool states that the ground pool is 36 inches.
Thus,
y-intercept = b = 36As the water drains, the height of the water changes at a rate of -1/2 inch per minute.
Thus, the rate of change or slope = m = -1/2Thus, using the equation
[tex]y = mx+b[/tex]
substituting m = -1/2 and b = 36
[tex]y\:=\:-\frac{1}{2}x+36[/tex]
We know that when the pool drains, the height of water reduces to zero.
Thus, substituting y = 0 in the equation
[tex]0=-\frac{1}{2}x+36[/tex]
switching sides
[tex]-\frac{1}{2}x+36=0[/tex]
subtract 36 from both sides
[tex]-\frac{1}{2}x+36-36=0-36[/tex]
[tex]-\frac{1}{2}x=-36[/tex]
Multiplying both sides by -2
[tex]\left(-\frac{1}{2}x\right)\left(-2\right)=\left(-36\right)\left(-2\right)[/tex]
[tex]x=72[/tex]
Therefore, it would take x = 72 minutes to drain the pool.
Help me out here please I need some help here
I'll mark brainly for who ever answers
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
Answer:
B
Step-by-step explanation:
Let the width be x, and the length be y
xy = 50
y = 2x
2x^2 = 50
x^2 = 25
x = 5
y = 10
3*8 = 24
Gravel is being dumped from a conveyor belt at a rate of 35 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 (in ft/min) is the height of the pile increasing when the pile is 15 ft high? (Round your answer to two decimal places.)
Answer:
The height of the pile is increasing at a rate of 1.78 ft/min
Step-by-step explanation:
As we can see, we have the rate at which the volume is increasing
Mathematically, the volume of a cone can be calculated by the formula;
1/3 * π * r^2 * h
but here, we are dealing with base diameter which is d
and r is d/2
So we have the formula as;
1/3 * π * (d/2)^2 * h
since h is same as d for this particular cone, we can replace d with h so that we now have;
1/3 * π * h^3/4
= πh^3/12
what we have in the question is dv/dt
what we want to calculate is dh/dt
Mathematically;
dh/dt = dh/dv * dv/dt
dh/dv is 1/dv/dh
dv/dh = πh^2/36 where h = 15
dv/dh = 225 π/36
dh/dv is now;
36/225π
So, finally;
dh/dt = 36/225 π * 35
dh/dt = 1.78 ft/min
Michael has credit card debt of $75,000 that has an 12% APR, compounded monthly. The minimum payment only the requires him to pay the interest on his debt. He receives an offer for a credit with an APR of 4% compounded monthly. If he rolls over his debt onto his card and makes the same monthly payment as before, how long will it take him to pay off his credit card debt?
Answer: 122 months.
Step-by-step explanation: The first step is to calculate the minimum monthly payment using the debt balance of $75,000 and 12% APR compounded monthly,which = $75,000 × 12% / 12 = $750 . The second step is to use the same $750 as payment, and using a discount rate of 4%/12, calculate the number of months required to pay off the present value (PV) of $75,000 , which = 122 months.
Richard's cumulative GPA for 3 semesters_ was 2.0 for 42 credits. His fourth semester GPA was 4.0 for 14 course units. What is Richard's cumulative GPA for all 4 semesters
Answer:
Richard's cumulative GPA = 2.5
Step-by-step explanation:
Richard's cumulative GPA for 3 semesters was 2.0 for 42 credits.
Average = 2
Total credits = 42
Average = sum of terms/total no of terms
2 = sum of terms/42
sum of terms = 84 ....(1)
His fourth semester GPA was 4.0 for 14 course units
Average = 4
Total credits = 14
sum of terms = 56 .....(2)
Average for 4 semesters,
[tex]A=\dfrac{84+56}{42+14}\\\\A=2.5[/tex]
Hence, Richard's cumulative GPA for all 4 semesters is 2.5.
What is the value of -4^2+(5-2)(-6)?
O-34
O-2
O 10
O 34
The value of -4² + (5-2) (-8) is -34.
What is Integer?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
We have expression as -4² + (5-2) (-8)
Now, solving the terms in the expression
-4² = -(4 x 4)= -16
and, (5-2) (-6)
= 3 (-6)
= -18
So, the value of -4² + (5-2) (-6)
= -16 - 18
= -34
Learn more about Integer here:
https://brainly.com/question/15276410
#SPJ1
PLEASE HELP FAST ASAP WILL GIVE BRAINLIEST
Find the value of AD.
3x-2/4 -2x-5/3 = 1+x/6 i wil mark brainliest plz solve this equation with explanation
Answer:
x is equal to 19/5 which can also be expressed as [tex]3\frac{4}{5}[/tex], or 3.8
Step-by-step explanation:
[tex]3x - 2/4 - 2x - 5/3 = 1 + x/6\\\\x - x / 6 = 1 + 2/4 + 5/3\\\\5x/6 = 6/6 + 3/6 + 10/6\\\\\frac{5}{6}x = 19/6\\\\x = \frac{19}{6} * \frac{6}{5}\\\\x = \frac{19}{5}[/tex]
Answer:
x = 12
Step-by-step explanation:
Solve:
[tex]\displaystyle \frac{3x-2}{4}-\frac{2x-5}{3}=\frac{1+x}{6}[/tex]
To eliminate denominators, we multiply all terms by the LCM of 4,3, and 6 = 12.
Multiply by 12:
[tex]3(3x-2)-4(2x-5)=2(1+x)[/tex]
Operating:
[tex]9x-6-8x+20=2x+2[/tex]
[tex]9x-8x-2x=6-20+2[/tex]
Simplifying:
-x=-12
x = 12
NEED BY TODAY PLEASE GET RIGHT
Felicia paid $125 to join a tennis club. She pays an additional $5 every time she uses on of the tennis club occurs.
State what x and y represent in context
What is the y-intercept for the question and explain what it represents in context
You can model the situation you described as
[tex]y=125+5x[/tex]
Where [tex]y[/tex] represents the money spent, and [tex]x[/tex] the number of uses.
The [tex]y[/tex] intercept is 125, which represents the money spent without using the club even once. In fact, to find it you set [tex]x=0[/tex], i.e. zero usage.
The given expression represents the area. Find the side length of the square.
9514 1404 393
Answer:
(4x +5)
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:
√(16x²) = 4x
√25 = 5
So, our first choice of side length for the square is ...
s = (4x +5) . . . . . side length of the square
__
Using the above identity, we can verify that the square of this gives the right area:
A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²
A = 16x² +40x +25 . . . . . . as required
Help ASAP Please
t=[tex]\frac{(y+v)r}{7}[/tex]
solve for R
Answer: (7t)/(y+v)
All work is in the picture below:
Solve the following equations all of six
Answer:
First one x=2 y=7 (2,7)
second one top right x=-2
Mid left: x=-5 and y=9 (-5,9)
mid right: x=4 and y=−1 (4,-1)
Bottom left: x=6 and y=−2 (6,-2)
Bottom Right: x=−4 and y=−5 (-4,-5)
Step-by-step explanation:
IM GOING LEFT TO RIGHT FROM UP TO DOWN
1. 2x+y=11
7x=14
rewrite them like this
7x=14;2x+y=11
solve for 7x=14
7x=14
x=2
Substitute 2 for x in 2x+y=11
(2)(2)+y=11
y+4=11
y=7
2. −7x=14;9x+8y=6
9x+8y=6
-7x=14
fist solve for x
x=-2
Then substitute in first equation
y=3
3. 6x+4y=6;3x=−15
6x+4y=6
3x=-15
solve for x
x=-5
Then plug in and solve
(6)(−5)+4y=6
4y=36
y=9
4. 7x+4y=24;4x=16
same process solve for x and plug in
x=4 and y=−1
5. 5x+8y=14;4x=24
same process
x=6 and y=−2
6. x-5y=21;-6x=24
same process solve for x and plug it in
x=−4 and y=−5
Hope this helps
3 1 R7 12 8 27 - 2 4 1 2 O 00 7 4 0 7
UMM SOMEONE CAN HELP ME I need to do this using the distributive property and collecting like terms.
8 − 4 ( 1/8r −3 1/2
2.85 tons when rounded to the nearest hundreds
Answer:
2.861
Step-by-step explanation:
Graph the line that passes through the two lines (1,5/2), (-1/2,-1/4)
Answer:
Image below
Step-by-step explanation:
Graph of a Line Given Two Points
We are given the points (1,5/2), (-1/2,-1/4).
A straight line is entirely defined by two points. We have to plot them and join them with a straight line ending in arrows.
The point (1,5/2) is converted to decimal as (1,2.5)
The point (-1/2,-1/4) is also converted to decimal: (-0.5,-0.25)
This helps to define the divisions of each axis and properly draw the line.
Please refer to the image below.
Ghidu it g get stuck didjdgef
Answer:
It would be a
Step-by-step explanation:
the difference is 4/8 but simplified it is 1/2
the graph of a quadratic function is shown on the grid. which function is the best represented by this graph?
Answer:
Step-by-step explanation:
It is H
Function for the graph of the parabola given in the picture attached will be Option (H). f(x) = x² - 6x
Equation of a parabola in vertex form: Equation of a parabola in vertex form is given by,
y = a(x - h)² + k
Here, (h, k) is the vertex of the parabola
Given in the graph,
Vertex of the parabola → (3, -9) Parabola passes through the origin (0, 0).Equation of the graph with vertex (3, -9) will be,
y = a(x - 3)² - 9
Since, the parabola passes through (0, 0),
0 = a(0 - 3)² - 9
0 = 9a - 9
a = 1
Substitute the value of 'a' in the equation of the parabola,
y = 1.(x - 3)² - 9
y = x² - 6x + 9 - 9
y = x² - 6x
Hence, the function representing the graph will be f(x) = x² - 6x
Learn more to get the equation of a parabola here,
https://brainly.com/question/22649174?referrer=searchResults
What is the quotient of 2 ÷2/3 plz help
Answer:
3
Step-by-step explanation:
2/(2/3)=(2/1)/(2/3)=(2/1)(3/2)=6/2=3
Answer:
3, I think (hope this helps)
Step-by-step explanation:
5/6 × 1/5= 1/6. How the answer came 1/6? Explanation needed.
Answer:
see below
Step-by-step explanation:
5/6 × 1/5= 1/6
Rewrite the fractions
5/5 * 1/6 = 1/6
1 * 1/6 = 1/6
1/6 = 1/6
Answer:
below
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{5} [/tex]
divided 5 by 5
[tex] 5 \div 5 = 1 [/tex]
multiply 1 by 1/6
[tex] 1 \times \frac{1}{6} [/tex]
hence,
[tex] = \frac{1}{6} [/tex]
The value of a video game decreased by 30%. If the original cost was $45.00, what is the current value of the
video game?
Answer:
$31.50
Step-by-step explanation:
If the value fell by 30%, then the game is worth 70% of its' original value. So:
45 x 70%=45 x .7=31.5......................
Round 3,511.1 to the nearest ten.
Answer:
3,510
Step-by-step explanation:
3,511.1 is closer to 3,510 than it is to 3,520
A manager purchased a total of 25 short sleeved and long sleeved shirts. Each short sleeved shirt costs $15 and each long sleeved shirt
costs $20. If the manager spent a total of $425, how many short sleeved shirts did the manager buy?
48 girls and 64 boys belong to the Twelve Mile Coulee School choir. The choir teacher plans to arrange the students into equal rows (the same number of students in each row). Only girls or boys will be in each row. What is the greatest number of students that could be in each row?
Answer:
16 students
Step-by-step explanation:
48+64=112
the highest number that can go into 112 equally is 16 so htere would be 7 rows and 16 students in each row
Choose the inequality that represents the following graph.
Answer:
0>0
Step-by-step explanation:
Am I correct? I would like to know, thanks!
Answer:
a) <CA
b) im not sure about this one
Step-by-step explanation:
The vertices of ΔGHI are G (2, 4), H (4, 8), and I (8, 4). The vertices of ΔJKL are J (1, 1), K (2, 3), and L (4, 1). Which conclusion is true about the triangles?
They are congruent by the definition of congruence in terms of rigid motions.
They are similar by the definition of similarity in terms of a dilation.
The ratio of their corresponding sides is 1:3
The ratio of their corresponding angles is 1:3.
Answer:
B
Step-by-step explanation:
They are similar by the definition of similarity in terms of a dilation.
What is similarity in terms of dilation in Mathematics?Two figures must have congruent (equal) comparable angle measures and proportional sides in order to be considered similar. Dilations produce comparable numbers because adding the scale factor produces proportional sides while keeping the angle measurement and form constant.
Given
In GHI ,
GH = 3cm [using distance formula]
HI = 5.65 cm
GI = 6 c
In JKL,
JK = 2.2361 cm
KL = 2.8284 cm
JL = 3 cm
To know more about dilation refer to :
https://brainly.com/question/3457976
#SPJ2