Answer:
Rate of change, is also another word for slope.
Slope --> y2 - y1 / (x2-x1)
Assuming the table is already in xy, the cords are in xy form too.
1) (8,8)
2) (11,10)
Plug points into slope eq
--> 10 - 8 = 2
----> 11 - 8 = 3
2/3 Is the slope/rate of change.
Convert this rational number to its decimal form and found to the nearest thousands?
Answer:
7 and 1 respectively
Step-by-step explanation:
1/7= 7 ) 1 (, the basic definition of division
Your monthly finance charge is based on your interest rate and your balance, the higher your interest rate, the higher your finance charge will be.
True
False
Answer:
True
Step-by-step explanation:
If you don't pay by the deadline, interest rate will contribute to your finance charge.
Explain how to solve the equation
.
b – 7 = 12
Answer:
19
Step-by-step explanation:
Add 7 onto 12 to find answer.
Answer:
b = 19
Step-by-step explanation:
b = 12 + 7
Simplify 12+7 to 19.
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
The question isn't well formatted ; however, from what can be deduced from the question posted :
Answer:
- 10.071
Step-by-step explanation:
Given the expression :
Solve for hhh: h-\left(-2.22\right)=-7.851h−(−2.22)=−7.851h, minus, left parenthesis, minus, 2, point, 22, right parenthesis, equals, minus, 7, point, 851 h =h=h, equals
Expressing Mathematically :
h - (- 2.22) = - 7.851
Opening the bracket :
h + 2.22 = - 7.851
Subtract 2.22 from both sides :
h + 2.22 - 2.22 = - 7.851 - 2.22
h = - 10.071
this is for my lil bro. I kinda forgot how to do this so help would be appreciated.
Answer:
Yes
Step-by-step explanation:
-10x+4y ≥-4
Plug in (0,-1)
-10(0) +4(-1) ≥-4
-4 ≥ -4
This is a true statement so the point is a solution
Answer:
Yes
Step-by-step explanation:
Substitute x = 0 and y = -1
Then
[tex] - 10(0) + 4( - 1) \geqslant - 4 \\ - 4 \geqslant - 4[/tex]
multiply
12/18×10/18
lesson name fraction.
find me out this question for answer
plz give me this ans by explaining
Answer:
I don't know what to do so I just answered the volume of this tell me if I am wrong
Step-by-step explanation:
radius : 3.5 cm
volume : ?
now,
volume (v) : π × r (2)
: 22/7 × 3.5(2)
:22×3.5×3.5 by 7
therefore,
the volume is 38.5
The curve C has parametric equations x = t², y = (2 - t)^1/2, for 0 ≤ t ≤2.
Find d2y/dx2 in terms of t.
Can I have the full workings also please?
Answer:
y''=(4-3t)/[16 t^3 (2-t)^(3/2)]
Step-by-step explanation:
x = t², y = (2 - t)^1/2
dy/dx=dy/dt×dt/dx by chain rule
dy/dt=1/2 (2-t)^(1/2-1) × (-1)
dy/dt=-1/2 (2-t)^(-1/2)
dy/dt=-1/[2(2-t)^(1/2) ]
dx/dt=2t
dy/dx=-1/[2(2-t)^(1/2) ] × 1/[2t]
dy/dx=-1/[4t (2-t)^(1/2) ]
We need to find the second derivative now.
That is we calculate d/dt(dy/dx in terms of t) then divide by derivative of x in terms of t).
dy/dx=-1/[4t (2-t)^(1/2) ]
Let's find derivative of this with respect to t.
d/dt(dy/dx)=
[0[4t (2-t)^(1/2)]-(-1)(4(2-t)^(1/2)+-4t(1/2)(2-t)^(-1/2))]/ [4t (2-t)^(1/2) ]^2
Let's simplify
d/dt(dy/dx)=
[(4(2-t)^(1/2)+-4t(1/2)(2-t)^(-1/2))]/ [4t (2-t)^(1/2) ]^2
Continuing to simplify
Apply the power in the denominator
d/dt(dy/dx)=
[(4(2-t)^(1/2)+-4t(1/2)(2-t)^(-1/2))]/ [16t^2 (2-t) ]
Multiply by (2-t)^(1/2)/(2-t)^(1/2):
d/dt(dy/dx)=
[(4(2-t)+-4t(1/2)]/ [16t^2 (2-t)^(3/2)]
Distribute/multiply:
d/dt(dy/dx)=
[(8-4t+-2t)]/ [16t^2 (2-t)^(3/2)]
Combine like terms:
d/dt(dy/dx)=
[(8-6t)]/ [16t^2 (2-t)^(3/2)]
Reducing fraction by dividing top and bottom by 2:
d/dt(dy/dx)=
[(4-3t)]/ [8t^2 (2-t)^(3/2)]
Now finally the d^2 y/dx^2 in terms of t is
d/dt(dy/dx) ÷ dx/dt=
[(4-3t)]/ [8t^2 (2-t)^(3/2)] ÷ 2t
d/dt(dy/dx) ÷ dx/dt=
[(4-3t)]/ [8t^2 (2-t)^(3/2)] × 1/( 2t)
d/dt(dy/dx) ÷ dx/dt=
[(4-3t)]/ [16t^3 (2-t)^(3/2)]
Or!!!!!!
x = t², y = (2 - t)^1/2
Since t>0, then t=sqrt(x) or x^(1/2).
Make this substitution into the equation explicitly solved for y:
y = (2 - x^1/2)^1/2
Differentiate:
y' =(1/2) (2 - x^1/2)^(-1/2) × -1/2x^(-1/2)
y'=-1/4(2 - x^1/2)^(-1/2)x^(-1/2)
y'=-1/4(2x-x^3/2)^(-1/2)
Differentiate:
y''=1/8(2x-x^3/2)^(-3/2)×(2-3/2x^1/2)
y''=(2-3/2x^1/2)/[8 (2x-x^3/2)^(3/2)]
Replace x with t^2
y''=(2-3/2t)/[8 (2t^2-t^3)^(3/2)]
Multiply top and bottom by 2
y''=(4-3t)/[16 (2t^2-t^3)^(3/2)]
Factor out t^2 inside the 3/2 power factor:
y''=(4-3t)/[16 (t^2)^(3/2) (2-t)^(3/2)]
y''=(4-3t)/[16 t^3 (2-t)^(3/2)]
Find the length of BC..
Answer:
45.1
Step-by-step explanation:
m<A = 51°
For angle A, BC is the opposite leg.
AB is the hypotenuse.
sin A = opp/hyp
sin 51° = BC/58
BC = 58 * sin 51°
BC = 45.1
Find the area of the triangle with sides 40, 50, and 60.
a. 75 square units
b. 992.2 square units
c. 3000 square units
d. 114.6 square units
Rob is investigating the effects of font size on the number of words that fit on a page. He changes the font size on an essay and records the number of words on one page of the essay. The table shows his data.
A 2-row table with 10 columns. The first row is labeled font size with entries 14, 12, 16, 10, 12, 14, 16, 18, 24, 22. The second row is labeled word count with entries 352, 461, 340, 407, 435, 381, 280, 201, 138, 114.
Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?
y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723
Answer:
y = -26.059x + 722.63
Step-by-step explanation:
The equation that represents the approximate line of best fit for data will be D. y = –26x + 723.
How to illustrate the equation?It should be noted that an equation is simply used to illustrate the mathematical expressions between variables.
To find an equation of a line, it's important to identify the slope, the point, and then substitute the values into the point-slope form.
Using the given data you can build the linear regression that is described by the linear function y=ax+b, you can see that a = -26 and b = 723 in the attached diagram.
In this case, the equation that represents the approximate line of best fit for data will be y = –26x + 723. The line expresses the relationship between the points.
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WILL MARK BRAINLIEST!! Multiply. −1/2⋅3/4 a)−2/3 b) −3/8 c) 3/8 d)2/3
Explanation:
When multiplying fractions, we multiply the numerators together, and the denominators are handled separately.
The numerators in this case are -1 and 3. They multiply to -3
The denominators multiply to 2*4 = 8
So that's how we end up with -3/8 as the final answer
This fraction cannot be reduced any further, because 3 and have 8 no factors (other than 1) in common.
Which label on the cone below represents the center of the base?
D
B
Ο Α
OB
Answer:
C
Step-by-step explanation:
The center of the base is the center of the circle
The center of the circle is C
. A research study about test anxiety will measure the change in heartrate of the test-taker. The researcher randomly assigns participants into one of two groups, either the Test group or the No-test group (where the first group takes a timed test and the second group reads for the same amount of time). What is the operational definition of the independent variable
Answer:
Timed test.
Step-by-step explanation:
An operational definition gives exactly what the independent variable means and its mode of measurement. The Independent variable is the variable in a research or experimental study which causes a change in the the measured variable. Hence, the independent variable is the predictor variable. In the study above, the independent variable is the timed test which is used to observe changes in the heart rate of the test taker (test anxiety). The change innheartrate of the test taker is the dependent variable.
Pls help hella lost
Given the mean of a random variable, X, is 10 and P(X < 11) = 0.67. Find the standard deviation.
Answer:
Step-by-step explanation:
This is the problem we need to solve:
[tex]z=\frac{x_i-\bar{x}}{\sigma}[/tex] and we have everything but the z-score (which we find from a table) with our main unknown being the standard deviation.
If the probability that a random variable that is less than 11 is .67, we first have to find the z-score from the table that is closest to .67, and there are 2:
P(z < .43) = .66640 and P(z < .44) = .67003
We'll use z = .44
[tex].44=\frac{11-10}{\sigma}[/tex] and
[tex].44=\frac{1}{\sigma}[/tex] and
[tex]\sigma=\frac{1}{.44}[/tex] so
σ = 2.27 (check it; it works!)
which steps should be used to graph the equation y-4=1/3 (x+2)
Answer:
y - 4 = 1/3 (x + 2)
3 y - 12 = x + 2
3y = x + 14
y = x / 3 + 14 / 3
Using y = m x + b as the equation for a standard line
We see that equation represents a line with slope of 1/3
When x = 0 the y-intercept is 14 /3
Resolve the expression [tex]\frac{(x-2)}{(x^{2} +1)(x-1)^{2} }[/tex] into the simplest partial fractions
The partial fraction expansion will look like
(x - 2)/((x ² + 1) (x - 1)²) = (ax + b)/(x ² + 1) + c/(x - 1) + d/(x - 1)²
Get everything in terms of a common denominator, and compare the numerators on both sides:
x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)
Expand the right side:
x - 2 = (ax + b) (x - 1)² + c (x ² + 1) (x - 1) + d (x ² + 1)
x - 2 = (a + c) x ³ + (-2a + b - c + d) x ² + (a - 2b + c) x + b - c + d
Match up the coefficients and solve the resulting system of equations:
a + c = 0
-2a + b - c + d = 0
a - 2b + c = 1
b - c + d = -2
==> a = -1, b = -1/2, c = 1, d = -1/2
So the expansion into partial fractions is
(x - 2)/((x ² + 1) (x - 1)²) = (-x - 1/2)/(x ² + 1) + 1/(x - 1) - 1/(2 (x - 1)²)
… = -(2x + 1)/(2 (x ² + 1)) + 1/(x - 1) - 1/(2 (x - 1)²)
What is the measure of
If the ratio of the value of the Canadian dollar to the US dollar is $1.12: $1.00, how much Canadian money
is equivalent to US$250?
CAN SOMEONE HELP PLEASE
Answer:
72
The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat.
Answered by GAUTHMATH
cho tứ giác ABCD. Gọi M,N,P,Q là trung điểm của các cạnh AB, CD, AD, BC. Chứng minh rằng vecto MP = vecto QN, vecto MQ = vecto PN
Answer:
Step-by-step explanation:
Xét tam giác DAB có: P là trung điểm AD, M là trung điểm AB
=> MP là đường trung bình của tam giác DAB => MP//BD và MP=[tex]\frac{1}{2}[/tex]BD (1)
Xét tam giác DBC có: N là trung điểm DC, Q là trung điểm BC
=> QN là đường trung bình của tam giác DBC => QN//BD và QN=[tex]\frac{1}{2}[/tex]BD (2)
Từ (1) và (2) => vecto MP song song cùng chiều với vecto QN
và độ dài MP = độ dài QN = [tex]\frac{1}{2}[/tex]BD
=> vecto MP = vecto QN
Tương tự xét các tam giác DAC và tam giác ABC => vecto MQ = vecto PN
Questions
Steve played a car race game. He gained some points, lost 27 points, and
finished with less than 400 points. Which of the following inequality
represents the given situation?
A.)X - 400 < 27
B.)x + 27 < 400
C.)X - 27 > 400
D.) X - 27 < 400
According to the information we can infer that the correct inequality that represents the given situation is D.) X - 27 < 400.
Which inequality does represent the given situation?Let's break down the information provided: Steve gained some points, lost 27 points, and finished with less than 400 points. To represent the number of points Steve had initially, let's use 'X'.
After gaining some points, his total would be X + G, where G represents the gained points.After losing 27 points, his total would be X + G - 27.Since he finished with less than 400 points, we can express this as X + G - 27 < 400.
Simplifying the equation, we get X - 27 < 400.According to the above we can conclude that the correct inequality that represents the given situation is D.) X - 27 < 400.
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\HURRY PLZ
evaluate k divided (-11) for k=33
Answer:
-3
Step-by-step explanation:
k/-11
Let k =33
33/ -11
-3
Answer:
-3
Step-by-step explanation:
33/-11 = -3
NOTE
division and multiplication = negative
addition and subtraction are a pair.
I hope this helped!
hurry up pls!!! i need some help quick fast plssss!!!!
Answer:
45
Step-by-step explanation:
9 x 5 = 45
it's a multiplication question
Helpppppppp pleaseeee
Answer:
5
Step-by-step explanation:
median means the number in the middle
If yk please help thank you
Answer: No real solution
Step-by-step explanation:
Which of the following is written as a rational function
The function written in the rational form is, C. F(x) = (x - 5)/3x
What are rational numbers?Rational numbers are subsets of real numbers which can be written in the form of p/q, where q ≠ 0. As at q = 0 it is undefined.
Similarly, A rational expression is also written in the form of p/q, where p and q are algebraic expressions and q ≠ 0.
From the given options, F(x) is written in the form p/q,
Where, p = x - 5 and q = 3x.
Therefore, The rational function is, F(x) = (x - 5)/3x, where x ≠ 0.
As at x = 0 the function is undefined.
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If the lengths of the legs of a right triangle are 4 and 8, what is the length of the
hypotenuse?
O A. 12
B. 4sqrt5
Oc. 32
D. 4sqrt3
Answer:
option A. twelve because hypotenuse angle is equal to perpendicular to the sum base
I need help with this does anybody know the answer
Answer:
X = 50; Y = 50
Answers are the same by following the correct order of operations.
Step-by-step explanation:
This problem deals with the correct order of operations. Multiplication is done before addition.
22 * 2 + 6 = X
44 + 6 = X
X = 50
6 + 22 * 2 = Y
6 + 44 = Y
Y = 50
The answers are the same despite the order in which the operations were written since by following the correct order of operations, you must do the multiplication first in each chase.