Answer:
The statement is false.
Step-by-step explanation:
Given,
[tex] \sqrt{4 \times - 3} = 5[/tex]
To Prove
Soln:
[tex] \sqrt{4 \times - 3} [/tex]=[tex]2i \sqrt{3} [/tex]
=>[tex]2i \sqrt{3} ≠5[/tex]
Hence, 2i√3 is not equal (≠) to 5.
If a problem is 8(2x+4) = 2(1x+3) is the first step done of PEMDAS for THIS SPECIFIC PROBLEM parentheses or multiplication?
The first step is the parenthesis
How to determine the first step?The equation is given as:
8(2x+4) = 2(1x+3)
Using PEMDAS, the first step is to open the brackets by multiplication.
So, we have:
16x + 32 = 2x + 6
Hence, the first step is the parenthesis
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
Can someone help me please
Answer:
The slope of the line segment CD is ( - [tex]\frac{8}{9}[/tex] )
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
Coordinates of the midpoint are
( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
The slope of a line segment with coordinates of the ends
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~
Point D is the midpoint of a segment AB
A ( 4 , 12 )
B ( - 6 , - 8 )
( [tex]\frac{-6+4}{2}[/tex] , [tex]\frac{-8+12}{2}[/tex] ) = ( - 1 , 2 )
D ( - 1 , 2 )
C ( 8 , - 6 )
[tex]m_{CD}[/tex] = [tex]\frac{-6-2}{8-(-1)}[/tex] = - [tex]\frac{8}{9}[/tex]
what is the
area of
Rectangle with the length 3 XY
and width
14X2y
Answer: [tex]42x^3 y^2[/tex]
Step-by-step explanation:
[tex]A=(3xy)(14x^2 y)=42x^3 y^2[/tex]
p(x)= x2-x-12 and q(x)=x+3 find p(x) ÷ q(x) The question of O-MATH
Hello,
[tex] \frac{p(x)}{q(x)} = \frac{ {x}^{2} - x - 12}{x + 3} = \frac{(x - 4)(x + 3)}{x + 3} = x - 4[/tex]
Answer:
Step-by-step explanation:
Angles Related to a Circle. Solve for X
The value of x is (d) 1
How to solve for x?The angle ABC is given as:
∠ABC = 43x
The line AB touches the tangent line BC at point B.
However, the line AB is not a radius.
This means that:
∠ABC < 90
So, we have
43x < 90
Divide by 43
x < 2.09
From the list of options, the number less than 2.09 is 1
Hence, the value of x is (d) 1
Read more about angles at:
https://brainly.com/question/23247585
#SPJ1
Determine the equation of the parabola whose graph is given below. Write your answer in General Form. A parabola on a coordinate plane.
The equation of parabola becomes y = -2/25(x-3)^2 + 4.
According to the statement
we have given a graph and from this graph we have to find the equation of parabola in the general form.
So,
we know that the equation of parabola in general form is
y = a(x-h)^2 +k - (1)
From the graph we have:
a point on the graph is (x,y) = (-2,2)
the vertex of the graph is (h,k) = (3,4)
Now, substitute these values in the equation number (1)
Then
y = a(x-h)^2 +k
2 = a(-2-3)^2 +4
2 = a(-5)^2 +4
2 = a(25) +4
25a = -2
a = -2/25.
Now put a = -2/25 and (h,k) = (3,4) in the equation(1).
Then
the equation of parabola becomes y = -2/25(x-3)^2 + 4
So, The equation of parabola becomes y = -2/25(x-3)^2 + 4.
Learn more about equation of parabola here https://brainly.com/question/4061870
#SPJ4
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
The net Change in latitude and longitude of the helicopter are; 28.47 and 7.35 respectively.
What is the net Change in latitude and longitude of the helicopter?The net change in latitude of the helicopter can be evaluated as follows;
x = |-6.20° - 22.27°| = |-28.47°|
x = 28.47°
The net change in longitude of the helicopter can be evaluated similarly as follows;
y = |106.80° - 114.15°| = |-7.35°|
x= 7.35°
Read more on longitude and latitude;
https://brainly.com/question/1939015
#SPJ1
13. If 3x = xy - 5 and y = 6, what is the value of x? (A) (C) / (B) 3) - 5 (D) slas1 5 اقعا our win
Answer:
x = 5/3
Step-by-step explanation:
3x = xy - 55
3x = x*6 - 5
3x = 6x - 5
3x = 5
x = 5/3
Giving away brainly for help ASAP
Answer:
[tex]g(f(x))=25x^2-15x-7[/tex]
domain: (-∞,∞)
Step-by-step explanation:
g of f means plug the function f(x) in to x in the function g(x)
[tex]g(f(x))=5(5x^2-3x-2)+3\\g(f(x))=25x^2-15x-10+3\\g(f(x))=25x^2-15x-7[/tex]
since this is a parabola with no interval, the domain (the graph on the x-axis from left to right) is all real numbers or (-∞,∞)
- What is the value of x in the figure
(5x)
140
Answer:
Step-by-step explanation:
5x = 140
= x = 140/5
= x = 28
Please help me
Given the quadratic function, describe in words the transformations and then
provide a sketch of the graph.
y = − 1/²(x+4)² - 7
Find a and k so that the given points lie on the parabola (An algebraic solution is required)
The value of a is -3 and the value of k is 10
A parabola is a U-shaped plane curve where any point is equidistant from a fixed point (known as the focus) and from a fixed line known as the directrix. The parabola is an integral part of the conic section topic
The section of a right circular cone by a plane parallel to the generator of the cone is a parabola. It is the location of a point that moves so that the distance from the fixed point (the focus) is equal to the distance from the fixed line (the directrix).
The fixed point is called the focus
A fixed line is called a directrix
Solving an algebraic equation is the process of finding a number or set of numbers that, when substituted for the variables in the equation, reduce them to an identity. Such a number is called the root of the equation
Here the equation y = a(x -2)^2 + k...........(1)
and two points A(1,7) and B(4, -2) is given
We need to find the value of a and k
Put A(1,7) in equation (1) , we get,
7 = a + k ,therefore k = 7 - a......(2)
Put B(4, -2) in equation (1), we get,
-2 = 4a + k........(3)
Put k= 7-a in (3)
-2 = 4a+7 -a
3a = -9
a= -3
From equation (2) , we get k = 7-(-3)= 10
Hence the value of k is 10 and the value of a is -3
Learn more about algebraic equation here:
https://brainly.com/question/28082787
#SPJ1
For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a[tex](x-2)^{2}[/tex] + k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a[tex](1-2)^{2}[/tex]+k
7 = a + k
Similarly,
-2 = a[tex](4-2)^{2}[/tex] + k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
https://brainly.com/question/4061870
#SPJ1
Can someone help me on these problems and show work please !
Answer:
1. 3 terms; degree 5
2. 2 terms; degree 3
3. 9mn³ + 14mn²
4. 9a^4b^3
Step-by-step explanation:
Problems 1 - 2:
Each product of a number and variables is a term. The number may be 1, so it is not written. Also, a term may not have a variable.
The degree of a term is the sum of the exponents of all the variables of the term. A plain variable, such as x has an exponent of 1 which is not written but must be added to determine the degree.
The degree of the polynomial is the same as the degree of the term with the highest degree.
1.
3 terms
degree 5
2.
2 terms
degree 3
Problems 3 - 4:
Combine like terms. Like terms have the same variables and exponents.
3.
6mn³ - mn² + 3mn³ + 15mn² =
= 6mn³ + 3mn³ - mn² + 15mn²
= 9mn³ + 14mn²
4.
a^4b^3 + 8a^4b^3 =
= 1a^4b^3 + 8a^4b^3
= 9a^4b^3
Section 1 Topic 6 Radical Expressions and Expressions with Radical Exponents
Directions: Match the column on the left with the possible answers from the two columns on
the right. Some questions will have more than one answer and some possible answers will
not be used.
the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the rectangle
The length and width of the rectangle are 18 in and 1 in, respectively.
QuadrilateralsThere are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
The area of a rectangle can be found for the formula : b*h, where b = base and h =height.
For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus, from the value of area given, you can find the values of the length and width of the rectangle.
A=b*h
18=(W+17)*W
18=W²+17W
W²+17W-18=0
Solving this quadratic equation, you have:
[tex]w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}[/tex]
[tex]w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}[/tex]
w1=1 and w2= -18
For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.
As, the area (l*w) is 18 in², see.
18=l*w
18=l*1
l=18 in
Read more about the area of rectangle here:
https://brainly.com/question/25292087
#SPJ1
Which expression is equivalent to startfraction 10 x superscript 6 baseline y superscript 12 baseline over negative 5 x superscript negative 2 baseline y superscript negative 6 baseline endfraction? assume x not-equals 0, y not-equals 0.
[tex]3/ 5x^6*y^6[/tex] is the solution f the expression [tex](-9x^-1*y^-9) / (-15x^5*y^-3)[/tex]
Given expression:
(-9x^-1*y^-9) / (-15x^5*y^-3)
As we know, any number with negative power can be written in inverse form with positive power.
[tex]x^-a = 1/x^a[/tex]
Two number having same base their powers are added:
[tex]x^a + x^b = x^a+b[/tex]
[tex]= > (-9x^-1*y^-9) / (-15x^5*y^-3)= (-3x^-1*y^-9) / (-5x^5*y^-3)\\=3/(5x^6 y^6)[/tex]
Hence the solution would be [tex]3 (5x^6 y^6)[/tex].
Learn more about Expression on:
https://brainly.com/question/1280754
#SPJ4
Answer:
b
Step-by-step explanation:
For the pair of points, find the slope of the line that passes through both points. (1,1) and (5,7)
Answer: 3/2
Step-by-step explanation:
[tex]\frac{7-1}{5-1}=\frac{6}{4}=\frac{3}{2}[/tex]
Prior to September, 2000, taxi fares from Washington DC to Maryland were described as follows: $2.00 up to and including 1⁄2 mile, $0.70 for each additional 1⁄2 mile increment.
- Describe the independent and dependent variables and explain your choices.
Answer:
See below.
Step-by-step explanation:
The $2 charge is independent of the miles driven. It cost $2 regardless of mileage. The $0.20.half mile is the dependent variable. The cost changes as a function of 1/2 miles driven.
Describe the difference between plots that show a strong correlation and plots that show a weak correlation.
We need to find the difference between plots that show a strong correlation and plots that show a weak correlation.
The point of creating a scatter plot is to determine if there is a correlation. Correlation means the relationship between two quantities. For example, there is a correlation between how much a person studies and the grade they get on a test, but there is no correlation between how much money a person earns and what pets they own. In mathematics, correlation between data means that the points follow a pattern and go in the same direction. There are two types of correlation:
Positive: the trend is rising from left to right
Negative: the trend is decreasing from left to right
If the dots on the scatter plot do not follow a pattern, there is no correlation.
All correlations have two properties: strength and direction. The strength of the correlation is determined by its numerical value. The direction of the correlation is determined by whether the correlation is positive or negative.
The strength of the correlation indicates how strong the relationship is between the two variables. The strength is determined by the numerical value of the correlation. A correlation of 1, whether +1 or -1, is a perfect correlation. In perfect correlations, the data points lie directly on the fit line. The further the data is from the fit line, the weaker the correlation. A correlation of 0 means there is no correlation
If the value of correlation coefficient is nearer to to 1 or -1 , then there exist a strong correlation.
If the value of correlation coefficient is nearer to to 0 , then there exist a weak correlation.
Learn more about correlation here:
https://brainly.com/question/28100787
#SPJ1
The data points are a little closer for a weak correlation, and you can see that there is some sort of relationship between these factors.
Data points for a strong correlation are in close proximity to one another, making it possible to build a line by imitating their pattern.
A statistic called correlation gauges how much two variables change in connection to one another.
Correlation and diversification, the idea that certain types of risk can be reduced by investing in assets that are not connected, are closely related concepts.
Correlation cannot determine whether x causes y or vice versa, or whether a third component is responsible for the association.
A scatter plot may make it easier to spot correlation, particularly when the variables have a non-linear but nevertheless significant association.
Learn more about correlation here:
https://brainly.com/question/17180881
#SPJ1
Evaluate if a = - 3 and c = 5
- Зас
7
Answer:
315
Step-by-step explanation:
-3ac7
-3x-3=9x5=45x7=315
❄ Hi there,
evaluate this expression by using substitution:
If
a=-3c=5then
-3ac= (see below)[tex]\sf{-3(-3)(5)}[/tex]
[tex]\sf{9\times5}[/tex]
[tex]\triangleright \ \sf{45}[/tex]
That's it!
❄
Simplify: ((-3)4)².
The value of the expression ((-3)^4)^2 when simplified is 6561
What are expressions?Expressions are mathematical statements represented by numbers, arithmetic operations and variables
How to simplify the expression?The expression is given as:
((-3)^4)^2
Start by expanding the inner bracket
((-3)^4)^2 = ((-3)*(-3)*(-3)*(-3))^2
Next, we evaluate the product (-3)*(-3)*(-3)*(-3)
This gives
((-3)^4)^2 = (81)^2
Next, expand the exponent
((-3)^4)^2 = (81) * 81
Next, we evaluate the product
This gives
((-3)^4)^2 = 6561
Hence, the value of the expression ((-3)^4)^2 when simplified is 6561
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
What is the area of parallelogram ABCD?
A. 12 units²
B. 30 units²
C. 24 units²
D. 55 units²
Answer:
C, 24 units^2
Step-by-step explanation:
The formula for area of a parallelogram is base times height.
The height of the parallelogram is 4 units
The base of the parallelogram is 6 units
4 times 6 is 24
Hope this helps:)
Answer:
C. 24 units²
Step-by-step explanation:
To calculate the area of a parallelogram we use the following formula:
A = B*h (B: base, h: height)
The base of the parallelogram is 6 units and the height is 4 units
4*6 = 24 units but, the area is presented in square units so the answer is 24 units²
PLEASE HELP QUICK!!!!!!!
The Science Club arranged a trip tot he Smithsonian. Only 2/3 of the members were able to attend, which left one seat empty on the 25-passenger bus. How many members does the Science Club have?
Answer:
There are 36 members in the Science Club.
Step-by-step explanation:
25 minus one is 24 and half of 24 is 12. 12 times 3 is 36, which is the full 3/3 of the Science Club.
18. In AABC, 44 is a right angle, and m4B 45°. What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The
diagram is not drawn to scale.
054 ft
17√3 ft
17√2 ft
017
Answer:
17√3
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is √3 times larger than the legs.
17*√3 = 17√3
In trapezoid LOVE, the length of the midsegment is 2x inches. If one
parallel side is x inches, what is the length of the other parallel side?
The length of the other parallel side is 3x
How to determine the other parallel side?The given parameters are:
Midsegment= 2x
One parallel side = x
The midsegment is calculated as:
Midsegment = 0.5 * (sum of parallel sides)
So, we have
2x = 0.5 *(x + Other side)
Divide by 0.5
4x = x + Other side
Evaluate the like terms
Other side = 3x
Hence, the length of the other parallel side is 3x
Read more about trapezoid at:
https://brainly.com/question/1463152
#SPJ1
What is the value of the rational expression
2x- 1
x+5
when x = 0?
Answer:
5
Step-by-step explanation
becasue 2x0=0 and 1x0=0
and when you add 5 to 0 you get five
A hospital director is told that 79% of the emergency room visitors are insured. The director wants to test the claim that the percentage of insured patients is not the expected percentage. A sample of 260 patients found that 195 were insured. At the 0.05 level, is there enough evidence to support the director's claim
The probability computed shows that there ia enough evidence to support the director's claim.
How to illustrate the probability?From the information given, the hospital director is told that 79% of the emergency room visitors are insured.
p = 0.79
q = 1 - 0.79 = 0.21
The computation of the z value is -1.91. This is a two tailed test.
The p-value will be:
= P(Z < -1.91)
= 0.0562 under the distribution table.
In this case, the p value is less than 0.10, therefore, we reject the null hypothesis.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
What is the standard deviation of the data set? 6.5, 11.2, 13, 6.3, 7, 8.8, 7.4
Using it's concept, the standard deviation of the data-set is of 2.39.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.The mean of the data-set in this problem is given by:
M = (6.5 + 11.2 + 13 + 6.3 + 7 + 8.8 + 7.4)/7 = 8.6.
Hence the standard deviation is:
[tex]S = \sqrt{\frac{(6.5-8.6)^2+(11.2-8.6)^2+(13-8.6)^2+(6.3-8.6)^2+(7-8.6)^2+(8.8-8.6)^2+(7.4-8.6)^2}{7}} = 2.39[/tex]
More can be learned about the standard deviation of a data-set at https://brainly.com/question/12180602
#SPJ1
HELP ASAP!!
Select the two values of x that are roots of this equation.
x²+2x-5=0
A. x--1+2√√6
B. x=-1+√6
C. x=-1-√6
D. x=-1-2√6
Answer:
Step-by-step explanation:
hello:
here an solution
If 2x + 3y = 194 and x = 28, what is the value of y?
Answer:
46
Step-by-step explanation:
For the value of y, substitute x = 28 into the equation.
2x + 3y = 194
2(28) + 3(y) = 194
56 + 3y = 194
3y = 194 - 56
3y = 138
dividing bothsides by 3
y = 46
Answer:
y = 46
Step-by-step explanation:
We want to find the value of y
2x+3y = 194
We are given the value of x
x=28
Substitute the value of x into the first equation
2(28)+3y = 194
56 + 3y = 194
Subtract 56 from each side
56+3y -56 = 194 -56
3y = 138
Divide each side by 3
3y/3 = 138/3
y =46