Answer:
last choice
Step-by-step explanation:
So the y-intercept is -2 and the slope is -2/3
The only choices I'm going to look at is first and last because they go through -2 on y-axis.
Now -2/3 is the slope that means the graph should be going down reading it left to right so the last choice,
Plz help help me sombody help
Answer:
2/3
Step-by-step explanation:
We can find the slope of the line by using points
We have 2 points (-2,0) and (1,2)
Using the formula for slope
m = (y2-y1)/(x2-x1)
= (2-0)/(1--2)
= 2/(1+2)
= 2/3
What is the range of the following data set?
7.7, 8.4, 9, 8, 6.9
0.8
2.1
0.4
1.4
I am pretty sure its 2.1
The range is given by: largest number in the data set - smallest number in the data set.
In our case, the largest value is 9 and the smallest value is 6.9. Therefor:
Range = 9 - 6.9 = 2.1
Thus, you have correctly identified the answer as the second choice (2.1). It is easy to get confused with much larger data sets but always keep in mind that the range is simply the largest value minus the smallest value. This makes sense since 'range' refers to the spread in something, for example if you were testing your vocal range you would find the highest note you could sing and the lowest note - this is the same here, we are just finding the range of a data set instead.
Answer:
The correct answer is second option
2.1
Step-by-step explanation:
Points to remember
Range of a data set
The range of a data set means that, the difference between the highest and lowest value of the data set.
To find the range of data set
It is given that, a data set
7.7, 8.4, 9, 8, 6.9
Highest value = 9 and lowest value = 6.9
Range = Highest value - lowest value
= 9 - 6.9 = 2.1
Therefore the correct answer is second option
If you divide-16 in 5 equal parts how much is each part equal to
Answer:
-3.2
Step-by-step explanation:
write the standard equation of a circle with the center at (-1,-4) that passes through the point (-1,-1)
Answer:
(x+1)^2+(y+4)^2=9
Step-by-step explanation:
First equation in what I like to call center-radius form is (x-h)^2+(y-k)^2=r^2 where (h,k) is center and r is radius.
So we are given (h,k)=(-1,-4) so we have so far that
(x+1)^2+(y+4)^2=r^2
Passes through the point (-1,-1) means at some point (x,y) takes on the point (-1,-1) so guess what we are going to find r^2 by plugging in that point where x and y are.
(-1+1)^2+(-1+4)^2=r^2
(0)^2+(3)^2=r^2
9=r^2
so the equation of the circle is (x+1)^2+(y+4)^2=9
Answer:
(x + 1)² + (y + 4)² = 9
Step-by-step explanation:
The equation of a circle is:
(x - h)² + (y - k)² = r²
where (h, k) is the center and r is the radius.
The center is (h, k) = (-1, -4). The radius is the distance from the center to any point on the circle. (-1, -1) is 3 units above the center, so r = 3.
(x + 1)² + (y + 4)² = 9
The endpoints of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the Pentagon?
1. Square root of 10
2. 5 square root of 10
3. 5 square root of 2
4. 25 square root of 2
the assumption being that the endpoints are two continuous points in the pentagon, Check picture below.
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[2-(-1)]^2+[3-4]^2}\implies d=\sqrt{(2+1)^2+(3-4)^2} \\\\\\ d=\sqrt{9+1}\implies d=\sqrt{10}~\hfill \stackrel{\stackrel{~\hfill \stackrel{\textit{5 sides}}{}}{\textit{perimeter of the pentagon}}}{5\sqrt{10}}[/tex]
circle o has a circumfrence of approximately 44 in. what is the approximate lenght of the diameter d?
-7in
-14in
-22in
-44in
Answer:
14 inch
Step-by-step explanation:
formula for circumference:
2(pi)r @ (pi)d
*where: r = radius
d= diameter
pi used = 22/7
22/7 x d = 44
d= 44/ (22/7)
=14
A scientist is trying to determine whether the use of cell phone contributes to brain cancer. For his study, he compares the medical records of subjects who have been diagnosed with brain cancer to the records of healthy subjects. What is the most significant weakness in this type of study?
The test groups must be unusually large to generate significant data.
The relationship between cell phone use and cancer is difficult to determine.
This type of study is expensive, and the data are difficult to analyze.
This type of study must rely on medical records, which are inaccurate.
Answer:
The relationship between cell phone use and cancer is difficult to determine.
Step-by-step explanation:
Its pretty difficult to determine the relationship between using your phone and cancer, and how they correspond to each other.
Answer:
The relationship between cell phone use and cancer is difficult to determine.
Step-by-step explanation:
There has been always a conflicting conclusions whether there is a relationship between a cell phone and the cause of brain cancer. Many years of studies by the scientist and the neurologist on the relation on cellphones and cancer have resulted in controversial arguments.
Thus, the most significant weakness in this type of study is the relationship between cell phone use and cancer is difficult to determine.
Identify the pairs of rates as equivalent or not equivalent.
Tiles
18/3 and 9/1
32/4 and 8/1
36/6 and 6/1
20/5 and 3/1
35/7 and 5/1
100/10 and 5/1
Boxes
Equivalent pairs
Not Equivalent pairs
ANSWER
See explanation
EXPLANATION
If we can simplify the first fraction to obtain the second fraction, then the two fractions are equivalent pairs
EQUIVALENT PAIRS
[tex] \frac{32}{4} \: and \: \frac{8}{1} [/tex]
[tex]\frac{36}{6} \: and \: \frac{6}{1} [/tex]
[tex]\frac{35}{7} \: and \: \frac{5}{1} [/tex]
NOT EQUIVALENT PAIRS
[tex]\frac{18}{3} \: and \: \frac{9}{1} [/tex]
[tex]\frac{20}{5} \: and \: \frac{3}{1} [/tex]
[tex]\frac{100}{10} \: and \: \frac{5}{1} [/tex]
Answer:
Equivalent pairs
32/4 and 8/1
36/6 and 6/1
35/7 and 5/1
Not Equivalent pairs
18/3 and 9/1
20/5 and 3/1
100/10 and 5/1
Step-by-step explanation:
Equivalent pairs: Those pairs that are different fractions but represent the same number.
1. 18/3 and 9/1
18/3 can be simplified into 6/1
so, 18/3 and 9/1 are not equivalent pairs
2. 32/4 and 8/1
32/4 can be simplified into 8/1
so, 32/4 and 8/1 are equivalent pairs
3. 36/6 and 6/1
36/6 can be simplified into 6/1
so, 36/6 and 6/1 are equivalent pairs
4. 20/5 and 3/1
20/5 can be simplified into 4/1
so, 20/5 and 3/1 are not equivalent pairs
5. 35/7 and 5/1
35/7 can be simplified into 5/1
so, 35/7 and 5/1 are equivalent pairs
6. 100/10 and 5/1
100/10 can be simplified into 10/1
so, 100/10 and 5/1 are not equivalent pairs
X+y-3z=8
Slove for x
[tex]x+y-3z=8\\x=-y+3z+8[/tex]
I need help please :’( Simplify -4x - x
Answer:
-5x
Step-by-step explanation:
Answer:
-5x
Step-by-step explanation:
-4x-x --------------> factor out the x
= (-4-1) x
= -5x
What is the range of y =|3x + 1|?
Answer:
[0,∞), {y|y≥0}
Step-by-step explanation:
The graph of y =|3x + 1| is attached.
By observation, we can see that the the least y-value that the graph can take is y =0 (i.e the x-axis) and the greatest y-value that the graph can take is positive infinity.
Hence the range is [0,∞), {y|y≥0}
Final answer:
The range of the function y = |3x + 1| is [0, infinity), as absolute value functions always yield non-negative values.
Explanation:
The range of the function y = |3x + 1| can be determined by understanding the behavior of absolute value functions. The absolute value function |x| always yields a non-negative value. Therefore, for any real number x, |3x + 1| will also be non-negative. Hence, the range of y = |3x + 1| is [0, ∞), meaning that y can be any real number greater than or equal to zero.
If 2x + y = 6 and m - n = 2, what is the value of (4x + 2y)(4m - 4n)
Answer:
96
Step-by-step explanation:
If m - n = 2, then 4m - 4n = 4(m - n) = 4(2).
Then (4x + 2y)(4m - 4n) equals (4x + 2y)(8), or 8(4x + 2y).
But we are told that 2x + y = 6. Multiplying all terms by 2, we get
4x + 2y = 12. Substituting 12 for 4x + 2y, we get our final answer:
(4x + 2y)(4m - 4n) equals (4x + 2y)(8), or 8(4x + 2y), or 8(12) = 96
Answer:
96
Step-by-step explanation:
(4x + 2y)(4m - 4n) = ?
We have an equation
2x+y =6
Multiply it by 2
2(2x+y) = 2*6
Distribute
4x+2y = 12
Substitute 12 in for 4x+2y into the original problem
12(4m - 4n) = ?
We have an equation
m-n = 2
Multiply this by 4
4(m-n) = 4*2
Distribute
4m-4n = 8
Substitute 8 in for 4m -4n in 12(4m - 4n) = ?
12 * 8 = ?
96
Please help!!! Which is not equal to the others?
Answer:
b
Step-by-step explanation:
Given
a cos2x
b
2sinxcosx = sin2x
c
2cos²x - 1 = cos2x
d
1 - 2sin²x = cos2x
b is the expression not equal to the others
---------------------------------------------------------------------------
Note
cos2x = cos²x - sin²x = cos²x - (1 - cos²x) = 2cos²x - 1
cos2x = (1 - sin²x) - sin²x = 1 - 2sin²x
Given that (5,4) is on the graph of f(x), find the
corresponding point for the function
f(x) + 4.
Answer:
(5, 8)
Step-by-step explanation:
f(x) + 4 is the graph of f(x) translated 4 units vertically up
given (5, 4) is a point on f(x), then the coordinates of the corresponding point
x- coordinate remains unchanged and add 4 to the y- coordinate
The corresponding point on f(x) + 4 is (5, 4 + 4) = (5, 8)
What is the value of x?
Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
The value of x in the triangle with parallel lines is 9.
To find the value of x in the equation involving a triangle with parallel lines, we can start by simplifying the equation and then solve for x.
The given equation is:
9/72 = (3x - 20)/56
Let's first simplify the left-hand side of the equation:
9/72 = 1/8
Now, the equation becomes:
1/8 = (3x - 20)/56
To isolate x, we can cross-multiply:
1 * 56 = 8 * (3x - 20)
56 = 24x - 160
Next, add 160 to both sides of the equation:
56 + 160 = 24x
216 = 24x
Finally, divide both sides by 24 to solve for x:
x = 216/24
x = 9
So, the value of x in the given equation is 9.
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Which of the following equations represents a line that is perpendicular to
y = -4x+9 and passes through the point, (4, 5)?
A. y- x+5 B. y- *x+6
C. y = x+4 D. y --4x+4
For this case we have that if two lines are perpendicular, then the product of their slopes is -1.
If we have the following equation of the line:
[tex]y = -4x + 9[/tex]
The slope is [tex]m_ {1} = - 4[/tex]
Then yes:
[tex]m_ {1} * m_ {2} = - 1\\m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 4}\\m_ {2} = \frac {1} {4}[/tex]
The equation of the new line will be:
[tex]y = \frac {1} {4} x + b[/tex]
We substitute the point to find "b":
[tex]5 = \frac {1} {4} (4) + b\\5 = 1 + b\\b = 5-1\\b = 4[/tex]
Finally, the equation is:
[tex]y = \frac {1} {4} x + 4[/tex]
Answer:
[tex]y = \frac {1} {4} x + 4[/tex]
True or false? In a mapping diagram, a relation that is a function can have two arrows coming from the same input value.
Answer:
false
Step-by-step explanation:
In a mapping diagram, a relation that is a function can have two arrows coming from the same input value
false
Answer: False.
Step-by-step explanation:
By definition, a relation is a function if each input value has only one output value.
Knowing this, we can say that in a mapping diagram, a function will never have two arrows coming from the same input value.
In other words, if in a mapping diagram a relation has two arrows coming from the same input value, this means that this input value has two output values, and according to the definition mentioned above, this relation cannot be a function.
Therefore, the statement "In a mapping diagram, a relation that is a function can have two arrows coming from the same input value", is FALSE.
Which equation is equivalent to
Answer:
Simplifying the equation:
[tex]\frac{2}{3} x - \frac{5}{6} = -\frac{5}{12} x + \frac{1}{4}[/tex]
Grouping like terms:
[tex]\frac{2}{3} x + \frac{5}{12} x= \frac{1}{4} + \frac{5}{6}[/tex]
⇒ [tex]\frac{39}{36} x=\frac{26}{24}[/tex]
Solving for 'x', we have:
⇒ [tex]x=\frac{26}{24}\frac{36}{39}=1[/tex]
For this case we place the terms with "x" on the left side of the equation, and the terms without "x" on the right side:
[tex]\frac {2} {3} x + \frac {5} {12} x = \frac {1} {4} + \frac {5} {6}[/tex]
We add similar terms:
[tex]\frac {24 + 15} {36} x = \frac {6 + 20} {24}\\\frac {39} {36} x = \frac {26} {24}[/tex]
We simplify both sides:
[tex]\frac {13} {12} x = \frac {13} {12}[/tex]
Dividing by [tex]\frac {13} {12}[/tex] on both sides of the equation:[tex]x = 1[/tex]
Answer:
[tex]x = 1[/tex]
Solve the equation x4 – 26x2 + 25 = 0 in the real number system.
Answer:
x = -1, 1, -5 , 5.
Step-by-step explanation:
x4 – 26x2 + 25 = 0
Factoring:
(x^2 - 25)(x^2 - 1) = 0
So x^2 - 25 = 0 gives x^2 = 25 and x = +/- 5.
x^2 - 1 gives x^2 = 1 and x = +/- 1.
Follow below steps:
To solve the equation x4 − 26x2 + 25 = 0, we can use substitution to simplify the equation. Let's set u = x2, which turns our equation into a quadratic form: u2 − 26u + 25 = 0.
Now, we apply the quadratic formula where a = 1, b = -26, and c = 25 to find the values of u. The quadratic formula is u = (-b ± √(b2 - 4ac))/(2a). Substituting the values, we get the roots for u which are u = 25 and u = 1.
Now we substitute back for x by setting x2 = u, which gives us two separate equations to solve: x2 = 25 and x2 = 1. Solving these, we find the solutions for x to be x = 5, x = -5, x = 1, and x = -1.
For the following system, use the second equation to make a substitution for y in the first equation.
2x + y = 5
y + 3 = 2x
2x + 2x - 3 = 5
2x + 3 - 2x = 5
2x + 2x + 3 = 5
Answer:
It is A
Step-by-step explanation:
2x + y = 5
y + 3 = 2x
From equation 2:
y = 2x - 3
Substituting in the first equation:
2x + 2x - 3 = 5.
Answer:
2x + 2x - 3 = 5.
Step-by-step explanation:
Convert the following measurements into the units given in the brackets
a. 8m (mm)
b. 0.02m (mm)
c. 110 000 mm (m)
d. 28 400 cm (km)
e. 0.00001km (cm)
f.62 743 000 mm (km)
g. 5cm (mm)
h. 2.8m (cm)
i . 521cm (mm)
j. 83.7cm (m)
k. 4.6 km (m)
l. 2170m (km)
Write as a complex number in standard form
Answer:
Complex numbers are numbers in which the real component and the imaginary part of the number are both represented. The numbers in standard form will be a + bi, where a is the real part and bi is the imaginary part. An example of a complex number would be 3 +5i. 3 is the real part, and 5i is the imaginary part.
Step-by-step explanation:
Hope this helps!
The complex number 3cis210 can be written in standard form as - (3√3/2)i - (3/2).
Explanation:The complex number 3cis210 can be written in standard form as:
3cis210 = 3(cos(210°) + i sin(210°))
Using the trigonometric identities cos(210°) = -√3/2 and sin(210°) = -1/2, we can simplify:
3cis210 = 3(-√3/2 + i(-1/2))
Therefore, the complex number 3cis210 in standard form is - (3√3/2)i - (3/2).
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The complete Question is given below:
Write as a complex number in standard form 3cis210
Find the sum
3a/bc+2b/ac
Answer:
3a^2 + 2b^2
= ----------------------
abc
Step-by-step explanation:
3a 2b
------- + ----------
bc ac
3a^2 + 2b^2
= ----------------------
abc
In simplified form, V18 is
Answer: 4.24264069
Step-by-step explanation: I think you mean the square root?
How do I find the value of x if y=70?
Mr.santos plants beans and squash in the area shown in the model below which expression is equivalent to the sum of the two areas?
Answer:
I would go with A. 3(4 + 7) acres
Step-by-step explanation:
Easy, the expression is equivalent to the sum of two areas... Beans and the Squash... you just add them all together and you get 33 acres. Add the parenthesis first and then multiply by 3 you get 33
Answer:
the answer is 3(4+7
Step-by-step explanation:
Fill in the blank.in the triangle below,z degrees=___
Answer:
Z°= 88.36
Tan-1×35=88.36
Answer:
z = 38 degrees
Step-by-step explanation:
As we can see in the picture that the triangle is a right angle triangle and two of the angles are known.
We also know that the sum of internal angles of a triangle is 180 degrees.
We know that one angle is 90 degrees and second is 52 degrees.
So,
Sum of three angles = 180 degrees
90 + 52 + z = 180
z = 180 - 90 - 52
z = 38 degrees ..
Simplify the following expression.
Answer:
B.
Step-by-step explanation:
It is just common sense. The top numbers have to be smaller than the top numbers
If the slope of GH is −4/5 and the slope of HJ is 3/4, find the slope of JK so that GHJK is a parallelogram. quick answer pls
Answer:
Slope of JK = -4/5
Step-by-step explanation:
We know that GHJK is a parallelogram. If GHJK is a parallelogram then the sides of parallelogram will be:
GH, HJ, JK, GK
Hence the opposite sides will be:
GH and JK
HJ and GK
We know that opposite sides of parallelogram are parallel to each other and the slopes of parallel lines is equal.
So the slope of GH and JK will be equal.
And slopes of HJ and GK will be equal.
As we are given the slope of GH which is -4/5, the slope of JK will also be -4/5 because both lines are parallel.
coven 12 - 31:1-13; wees laula
Iven
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