Answer:
C.y-3=-3(x+3)
Step-by-step explanation:
gradient=-3
y-3/x+3=-3
Cross multiply
y-3=-3(x+3)
please give me brainliest answer..thank you
Assume that a medical research study found a correlation of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer. This could be interpreted to mean:
a. the more vitamin A consumed, the lower a person's chances are of getting this type of cancer
b. the more vitamin A consumed, the higher a person's chances are of getting this type of cancer
c. vitamin A causes this type of cancer
The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.
A correlation coefficient measures the strength and direction of the linear relationship between two variables.
In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.
Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.
However, it is important to note that correlation does not imply causation.
It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.
Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.
To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.
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If you are standing 75 ft away from a tree and looking up at the top at a 40° angle, what is the height of the tree?
Answer:
Step-by-step explanation:
a parallelogram has sides of length 19 mm, 19 mm, and 7 mm. what is the length of the fourth side of the parallelogram? enter your answer in the box. length of the fourth side
The parallelogram having the sides of length 19 mm 19mm 7mm will have the length of the fourth side to be 7mm.
A parallelogram is a shape which has four sides and the opposite sides of the parallelogram are equal in magnitude.
The sum of the angles present on the opposite sides of one line of the parallelogram makes a sum of 180 degrees.
Here it is given to us that the parallelogram has the side length of 19 mm and 7 mm.
It is making sense that one of the remaining two size is 19 mm because that will be equal in magnitude as well as parallel to the side.
Going by the above mentioned logic we can conclude that the fourth side of the parallelogram will have a length of 7 mm.
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Which is the product of \(\frac{7}{9\\}\) and 6?
( 100 POINTS )
Answer:
\( \sf \: \frac{14}{3} \)
Step-by-step explanation:
Given problem,
\( \sf \rightarrow \: \frac{7}{9} \times 6\)
Let's solve the problem,
\( \sf \rightarrow \: \frac{7}{9} \times 6\)
\( \sf \rightarrow \: \frac{(7 \times 6)}{9} \)
\( \sf \rightarrow \: \frac{42}{9} \)
\( \sf \rightarrow \: \frac{14}{3} \)
Hence, the product is 14/3.
"Number line from minus five to five by increment of one from left to right and each tick mark is labeled. The shaded part on the number line is from open circle at minus one to close circle at four."/>
The number line represents the inequality -1 < x ≤ 4 .
A number line is a graphical representation of all the real numbers .
A number line can be used to plot rational and irrational numbers.The absolute value of a real number represents the distance of the real number from zero. A number line is graduated and every point on the number line represents a particular real number.Given the statement "The shaded part on the number line is from open circle at minus one to close circle at four." which means that a particular range for a variable is given.
The value of the variable is more than -1 but less than or equal to 4.
So the statement can be represented as an inequality also such as
-1 < x ≤ 4 or x ∈ [ -1 , 4 )
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At Silver Gym, membership is $35 per month, and personal training sessions are $25 each. At Fit Factor, membership is $55 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
NEED IT FINISHED ASAP!!!!!!
Answer:
8 personal training sessions, 3 from Sliver Gym and 5 from Fit Factor.
Step-by-step explanation:
Alright, write the multiples of and 25 and 15 until both reaches the same number.
25, 50, 75
15, 30, 45, 60, 75
I don't really understand the final part of the question, but I hope it helps.
3 + 5 = 8
3 from Sliver Gym and 5 from Fit Factor.
A student plays a total of 20
rounds of Rock Paper
Scissors. He wins 75% of
them. How many rounds did
he win?
Answer: The student wins 15 rounds.
Step-by-step explanation:
The number of rounds the student won is required.
The number of rounds the student won was 15.
The total number of rounds played is \(20\).
The percentage the student wins is \(75\%\)
The number of times he won was
\(20\times 75\%\\ =20\times \dfrac{75}{100}\\ =20\times 0.75\\ =15\)
The number of rounds the student won was 15.
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In Store A, you can buy 3 notebooks
and a $2 set of pencils for the same
price as 4 notebooks. How much does
a notebook cost at Store A?
The equation 3x + 2 = 4x can be used
to find x, the cost of 1 notebook.
Answer:
The price of one notebook is 2$
Step-by-step explanation:
3x + 2= 4x
Take x to the same side —> 4x-3x=2 —> x=2
What is the product of (6 - 41) and its conjugate?
Answer:
nvm I got that wring
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer:
1.54 and 1.7 I believe
Step-by-step explanation:
Answer:
The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
Step-by-step explanation:
To find how many pounds each tire is, divide the weight in grams by 453.592
Full steel tire:
800/453.592 = 1.76 pounds
Lighter wheel:
700/453.592 = 1.54 pounds
So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds
11-1 Skills Practice. Areas of Parallelograms and Triangles. Find the perimeter and area of each parallelogram or triangle.
The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and 30 in² respectively.
In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:
Perimeter of a parallelogram = 2 x (length + width)
Area of a parallelogram = base x height
Perimeter of a triangle = sum of the lengths of its sides
Area of a triangle = 1/2 x base x height
Now, let's apply these formulas to each shape:
Parallelogram with length 6 cm and width 4 cm:
Perimeter = 2 x (6 + 4) = 20 cm
Area = 6 x 4 = 24 cm²
Triangle with base 9 cm and height 5 cm:
Perimeter = 9 + 8 + 7 = 24 cm
Area = 1/2 x 9 x 5 = 22.5 cm²
Parallelogram with length 14 ft and width 7 ft:
Perimeter = 2 x (14 + 7) = 42 ft
Area = 14 x 7 = 98 ft²
Triangle with base 12 cm and height 8 cm:
Perimeter = 12 + 8 + 10 = 30 cm
Area = 1/2 x 12 x 8 = 48 cm²
Parallelogram with length 18 m and width 5 m:
Perimeter = 2 x (18 + 5) = 46 m
Area = 18 x 5 = 90 m²
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#SPJ11Triangle with base 6 in and height 10 in:
Perimeter = 6 + 8 + 10 = 24 in
Area = 1/2 x 6 x 10 = 30 in²
Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.
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2sec(2x) equivalent equations
2sec²x/(2-sec²x) is the equivalent equation of 2sec(2x).
What is trigonometric equation?The equation that has one or more trigonometric ratio with known and unknown angles. From the equation we can determine the unknown value.
What is equivalent equation?Two trigonometric equations are called equivalent equation to each other when both have same values of variables.
2sec(2x) = 2/cos2x= 2/(cos²x-sin²x)
2/{cos²x-(1-cos²x)= 2/{2cos²x-1}
2/{2/sec²x-1}= 2sec²x/(2-sec²x)
hence, the above is the equivalent equation.
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2. How many bits are needed to represent decimal values ranging from 0 to 12,500?
To represent decimal values ranging from 0 to 12,500, we need 14 bits.
To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.
The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.
log2(12,500) ≈ 13.60
Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.
Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.
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a line with a slope of -1/4 passes through the points (n,6) and (-4,9). what is the value of n?
The slope of the line that passes through points (x1, y1) and (x2, y2) is computed as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Replacing with the points (n,6) and (-4,9), and with m = -1/4, we get:
\(\begin{gathered} -\frac{1}{4}=\frac{9-6}{-4-n} \\ -\frac{1}{4}=\frac{3}{-4-n} \\ (-1)\cdot(-4-n)=3\cdot4 \\ (-1)\cdot(-4)+(-1)\cdot(-n)=12 \\ 4+n=12 \\ n=12-4 \\ n=8 \end{gathered}\)Jill can paint a bedroom in their house in 2 hours, and John can paint it in 3 hours. How long will it take Jill and John, working together, to complete the job?
It will take Jill and John \($\frac{6}{5}$\) hours or 1 hour and 12 minutes.
How much time will Jill and John to complete the job?To solve the problem, we can use the formula:
\($ \frac{1}{x} = \frac{1}{a} + \frac{1}{b}$\)
where x is the time it takes for Jill and John to complete the job working together, and a and b are the times it takes for Jill and John to complete the job individually, respectively.
Substituting the given values, we get:
\($ \frac{1}{x} = \frac{1}{2} + \frac{1}{3}$\)
Simplifying this expression, we get:
\($ \frac{1}{x} = \frac{5}{6}$\)
Multiplying both sides by 6x, we get:
\($6 = 5x$\)
Dividing both sides by 5, we get:
\($x = \frac{6}{5} hours$\)
Therefore, it will take Jill and John \($\frac{6}{5}$\) hours or 1 hour and 12 minutes (rounded to the nearest minute) working together to complete the job.
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Let C=D={-3, -2, -1, 1, 2, 3} and define a relation S from C to D as follows: For all
( x , y ) \in C \times D
(x,y)∈C×D
.
( x , y ) \in S
(x,y)∈S
means that
\frac { 1 } { x } - \frac { 1 } { y }
x
1
−
y
1
is an integer. a. Is 2 S 2? Is -1S-1? Is (3, 3)
\in S ?
∈S?
Is (3, -3)
\in S ?
∈S?
b. Write S as a set of ordered pairs. c. Write the domain and co-domain of S. d. Draw an arrow diagram for S.
Answer:
Step-by-step explanation:
I'm pretty
a. Let's check whether the given pairs are in the relation S or not.
Is 2 S 2?
To check if (2, 2) is in S, we need to evaluate the expression:
(1/2) - (1/2) = 1/2 - 1/2 = 0
Since 0 is an integer, (2, 2) is in S.
Is -1 S -1?
To check if (-1, -1) is in S, we need to evaluate the expression:
(1/-1) - (1/-1) = -1 - (-1) = 0
Since 0 is an integer, (-1, -1) is in S.
Is (3, 3) ∈ S?
To check if (3, 3) is in S, we need to evaluate the expression:
(1/3) - (1/3) = 1/3 - 1/3 = 0
Since 0 is an integer, (3, 3) is in S.
Is (3, -3) ∈ S?
To check if (3, -3) is in S, we need to evaluate the expression:
(1/3) - (1/-3) = 1/3 + 1/3 = 2/3
2/3 is not an integer, so (3, -3) is not in S.
b. Set of ordered pairs S:
S = {(x, y) | (1/x) - (1/y) is an integer}
S = {(2, 2), (-1, -1), (3, 3)}
c. Domain and Co-domain of S:
Domain of S: The set of all first components (x-values) of the ordered pairs in S.
Domain of S = {-3, -2, -1, 1, 2, 3}
Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.
Co-domain of S = {-3, -2, -1, 1, 2, 3}
d. Arrow diagram for S:
Domain (C): {-3, -2, -1, 1, 2, 3}
Co-domain (D): {-3, -2, -1, 1, 2, 3}
(2, 2) -----> (0) // 0 represents an integer
(-1, -1) -----> (0)
(3, 3) -----> (0)
(3, -3) -----> (2/3) // 2/3 is not an integer
Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.
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HELP!! PLEASE PLEASE.
the correlation between variable x and variable y is represented by which of the following? group of answer choices r(xy)2 rxy rx(y) rx/y previousnext
Given statement solution is :- The correlation between variable x and variable y is represented by "rxy".
Correlation is Positive when the values increase together, and; Correlation is Negative when one value decreases as the other increases.
There are three basic types of correlation: positive correlation: the two variables change in the same direction. negative correlation: the two variables change in opposite directions. no correlation: there is no association or relevant relationship between the two variables.
A basic example of positive correlation is height and weight—taller people tend to be heavier, and vice versa. In some cases, positive correlation exists because one variable influences the other. In other cases, the two variables are independent from one another and are influenced by a third variable.
The correlation between variable x and variable y is represented by "rxy".
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Graph the function y=log(x-2)
helpppppppppp meeeeeeeeeee 50points
Answer:
1) 48
2)44
Step-by-step explanation:
Answer: 48 44 Are The Correct Answers
Step-by-step explanation:Hope This Helps
im cant figure out how to do this one ((-3)^2)^-3
Answer:
\(\dfrac{1}{729}\)
Step-by-step explanation:
\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)
First, we should evaluate inside the large parentheses:
\((-3)^2 = (-3)\cdot (-3) = 9\)
We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,
\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)
↑1 ↑2 ↑3 times because the exponent is 3
Next, we can put the value 9 into where \((-3)^2\) was originally:
\((9)^{-3}\)
We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,
\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)
Finally, we can apply this principle to the \(9^{-3}\):
\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)
What are the zeros of the polynomial function
F(x)=(x - 4) ( x + 5 )
Answer:
Step-by-step explanation:
A root or a zero of a polynomial are the value(s) of X that cause the polynomial to = 0 (or make Y=0). It is an X-intercept. The root is the X-value, and zero is the Y-value. It is not saying that imaginary roots = 0.
Answer:
x = 4
x = -5
I have made it in above picture
hope it helps
Find the vertex of y=-2(x-4)2 + 3 and identify it as a minimum or a maximum
Answer:
Step-by-step explanation:
Remark
The minus sign in front of the 2 means that the quadratic has a maximum.
The vertex is already written in vertex form.
y= - 2 (x - 4)^2 + 3
The vertex is (4,3). Notice that the sign on the 4 changes. What you are trying to do is find the maximum point. That occurs when the minus number is made to be 0, which occurs when x = 4. The maximum y value is 3 when that happens.
I have enclosed a graph to show you all the details. Notice the maximum is when I've said it was and the roots have also been calculated.
I need help on this asap I'm stuck on these questions
I need help on this asap I'm stuck on these questions
Answer:
There is no picture
Find each value without using a calculator. If the expression is undefined, write undefined.
sec (-π)
The value of the expression sec (-π) is equal to -1 if the given expression is undefined.
As given in the question,
Given expression: sec (-π)
Standard position of unit circle: -π is representing semicircle with terminal point on negative x-axis with coordinates (-1, 0)
Hypotenuse = √ (-1)² + 0²
= 1
Value of the expression is given by
sec α = Hypotenuse / Base (x-coordinate)
⇒sec(-π) = 1 / -1
⇒sec(-π) = -1
Therefore, the value of the expression sec (-π) is equal to -1.
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∂²p/∂r² + 1/r ∂p/∂r = ϕμC/k ∂p/∂t
derivation of equations
1-partial derivative diffusivity equation spherical flow
2- partial derivative diffusivity equation hemi- spherical flow
The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.
1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.
These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.
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Jada is solving the equation shown below. Negative one-half (x + 4) = 6 Which is a possible first step to begin to simplify the equation? Select two options. Divide both sides of the equation by –2. Subtract 4 from both sides of the equation. Multiply both sides of the equation by –2. Distribute –2 over (x + 4). Distribute Negative one-half over (x + 4).
The pοssible first steps tο simplify the equatiοn are:
Multiply bοth sides οf the equatiοn by -2.
Distribute Negative οne-half οver (x + 4).
How to get the simplified form?Multiply bοth sides οf the equatiοn by -2, tο get rid οf the fractiοn:
-2 * Negative οne-half (x + 4) = -2 * 6
This simplifies tο: (x + 4) = -12
Distribute Negative οne-half οver (x + 4):
Negative οne-half (x + 4) = Negative οne-half * x + Negative οne-half * 4
This simplifies tο: (-1/2)x - 2 = 6
Therefοre, the pοssible first steps tο simplify the equatiοn are:
Multiply bοth sides οf the equatiοn by -2.
Distribute Negative οne-half οver (x + 4).
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Find the distance between the two points in simplest radical form.
(-3, -4) and (-7, -9)
Answer:
√41 units
Please see the attached picture for full solution
hope it helps
Good luck on your assignment
Answer:
√ [41]
Step-by-step explanation:
Determine how much x and y each change, and then apply the Pythagorean Theorem to find the length of the hypotenuse (which is also the desired distance between the two points):
Moving from (-7, -9) to (-3, -4), x increases by 4 and y increases by 5.
Thus, the length of the hypotenuse / distance between the two points) is
d = √ [4² + 5² ] = √ [41]
EL CERO EN LA MULTIPLICACIÓN ES...
EL CERO EN LA SUMA ALGEBRAICA ES..
Answer:
The multiplication property of zero is about multiplying 0. If you multiply a number by zero, the product will be zero.
Step-by-step explanation:
i already answered this question but now i need to list every single possible outcome. i know there is 30 outcomes but i’m not sure what they all are
When two marbles are drawn from a bag containing 30 marbles of different colours, the number of possible outcomes = 1/145
How to calculate the number of possible outcomes?The total number of marbles in the bag = 30
The total number of green marbles = 3
The total number of black marbles = 3
For the first marble = 3/30
For the second marble = 2/29
The sample space = 3/30× 2/29
= 3/435
= 1/145
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