Step-by-step explanation:
What was Given was that Point G is rotated 90°. The coordinate of the pre-image point G was (7, –5), and its image G’ is at the coordinate (5, 7).
What you need to find was : What is the direction of the rotation.
So coming to conclusions is we have given that Point G is rotated 90°.
The Pre-image of G = ( 7, -5).
Translated image G' = ( 5 ,7).
By the Rotation rule of 90° is : (-y, x) 90 degree rotation counterclockwise around the origin.
(y, -x) 90 degree rotation clockwise about the origin.
We can from G (7,-5) and G'( 5 ,7) it is rotation counterclockwise around the origin.
Therefore, Direction of rotation is counterclockwise around the origin.
Answer:
The answer is COUNTERCLOCKWISE
Step-by-step explanation:
edg
A trader claims that the proportion of stocks that offer dividends is different from 0.14. If the trader wants to conduct a hypothesis test, should they use a left-, right-, or two-tailed hypothesis test to analyze whether the proportion of stocks that offer dividends is different from 0.14? Select the correct answer below: Left-tailed test Right-tailed test Two-tailed test
Answer:
The correct option is;
Two-tailed test
Step-by-step explanation:
From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14
Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;
H₀: Null hypothesis (no difference, or no change)
H₁: μ ≠ μ₀ which is hypothesizing difference which is known as a two-tailed test
The confidence level is then selected and the test statistic is calculated
Solve for x
X-5= -9 please help
Answer:
A. x = -4
Step-by-step explanation:
We are given the equation:
x - 5 = -9
In order to solve for x, we must "undo" the -5 by adding 5 to both sides:
x - 5 + 5 = -9 + 5
x = -4
The answer is thus A.
~ an aesthetics lover
x-5= -9
we need to put everything in the right part to easily calculate it:
x=5 -9 or you can write (-9+5)
then, we have that x= -4
2) The volume of water in swimming pools in a local neighborhood are normally distributed. What is the percentage of
volumes that are within 3 standard deviation of the mean?
Answer:
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
Step-by-step explanation:
We want to calculate the area under the curve within 3 standard deviations from the mean.
If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).
[tex]P(-3<X<3)=P(z<3)-P(z<-3)\\\\P(-3<X<3)=0.9987-0.0013=0.9973[/tex]
The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
NO is parallel to ML. How long is OL?
2/3ft
6ft
8ft
12ft
Answer:
Step-by-step explanation:
Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
Hence, KN/MN=KO/OL.......by bpt
i.e.= 3/9=2/OL
18/3=OL
6feet =OL
answer is b)6feet
pls mark brainliest if it helps
expression
equation
formula
identity
inequality
term
factor
multiple
Choose only two words from the box above to make this statement correct.
8y is a _____in the_____7x + 8y
Answer:
Term
Expression
Step-by-step explanation:
8y is a term in the expression
7x + 8y
There are two terms in the expression 7x + 8y
First is 7x
Second is 8y
7 and 8 are coefficient of x and y respectively
7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.
Unlike an equation that has the Equal to sign(=)
There are three basic types of expression:
1. Arithmetic expression
2. Character expression
3. Logical or relational expression
Please help me with question eightttt thank you
Answer:
Question 8 should be 25.6 hours
Step-by-step explanation:
Since time = distance/speed.
We just replace the words with the appropriate numbers.
time =
[tex] \frac{ 3.84 \times {10}^{5} }{1.5 \times {10}^{4} } [/tex]
which equals 25.6
One line passes through the points (−3,−1) and (1,−9). Another line passes through points (1,4) and (5,6). Are the lines parallel, perpendicular, or neither?
Answer:
the lines are perpendicular
Step-by-step explanation:
the first step to this question will be to find the slope intercept form of each of these lines. to do this we will first:
find the slope-
(-3,-1) and (1,-9)
y2-y1 / x2- x1
-9 - (-1) / 1 - (-3) (negative - negative = positive)
-8 / 4
therefore the slope is:
-2
we know that slope intercept form is y=mx+b
so.. y= -2x +______
I left the last part blank, because we only have the first half of the equation, now we will substitute the value of x and y into the equation from one of the coordinate points given above.
(-9) = -2(1) + _____
now we can simplify:
-9 = -2
this equation (-9 = -2) is not true, therefore we need to determine what we have to do to -2 to make it equal to -9.
-9 = -2 - 7 is true
therefore the answer is :
y= -2x-7
therefore the slope intercept form is y= -2x - 7
now that you know how to find the slope intercept form, you can find the other slope intercept form, and i'll provide the answer:
the slope intercept form you should find is
y= [tex]\frac{1}{2}[/tex]x + [tex]\frac{7}{2}[/tex]
now when we plot both of these lines we can see that:
the lines are perpendicular, meaning the lines pass through each other.
Answer:
the two lines are perpendicular to one another
Step-by-step explanation:
Find the slopes of the two lines and then compare them.
If the slopes are the same, the lines are parallel.
If the slopes are negative reciprocals, the lines are perpendicular.
If neither of these conditions hold, then the lines are neither parallel nor perpendicular.
(−3,−1) and (1,−9): As we go from the first point to the second, x (the "run") increases by 4 and y (the "rise") decreases by 8. Thus, the slope of the line through (−3,−1) and (1,−9) is m = rise / run = -8/4, or m = -2.
(1,4) and (5,6): As we go from the first to the second, x increeases by 4 and y increases by 2. Thus, the slope of the line through (1,4) and (5,6) is
m = rise / run = 2/4 = 1/2.
Because 1/2 is the negative reciprocal of -2, we know that the two lines are perpendicular to one another.
Write 2.37 correct to 1 decimal place
Answer:
2.4
Step-by-step explanation:
The first decimal place is 3, the digit after that is 7 which is more or equal to 5. So add +1 to the 3, followed by zeros.
2.37 ⇒ 2.40
on monday it took 5 builders to 3 1/2 hours to build a wall
on tuesday an identical wall was built but only 2 builders were available
each builder is paid £9.30 for each hour or part of and hour they work
work out how much each builder will be paid for the work completed on tuesday
Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took [tex]3\dfrac{1}{2}[/tex] hours ( i.e. [tex]\dfrac{7}{2}[/tex] hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : [tex]x_1y_1=x_2y_2[/tex]
Let x be the time taken by 2 builders, then
[tex]2\times x =5\times \dfrac{7}{2}[/tex]
[tex]\Rightarrow\ x=\dfrac{35}{2}\times\dfrac{1}{2}=\dfrac{35}{4}=8.75[/tex]
So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .
6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 =2d− 2 13
Answer:
So your answer is d = -1/4 = -0.250
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*d-11/2-(2*d-13/2)=0
13
Simplify ——
2
11 13
(6d - ——) - (2d - ——) = 0
2 2
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
2d 2d • 2
2d = —— = ——————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2d • 2 - (13) 4d - 13
————————————— = ———————
2 2
11 (4d - 13)
(6d - ——) - ————————— = 0
2 2
11
Simplify ——
2
4.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
6d 6d • 2
6d = —— = ——————
1 2
4.2 Adding up the two equivalent fractions
6d • 2 - (11) 12d - 11
————————————— = ————————
2 2
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(12d-11) - ((4d-13)) 8d + 2
———————————————————— = ——————
2 2
6.1 Pull out like factors :
8d + 2 = 2 • (4d + 1)
4d + 1 = 0
4d + 1 = 0
7.1 Solve : 4d+1 = 0
Subtract 1 from both sides of the equation :
4d = -1
Divide both sides of the equation by 4:
d = -1/4 = -0.250
Answer:
d = -1/4 = -0.250
Step-by-step explanation:
What point is a solution to the inequality shown in this graph
Answer: A
Step-by-step explanation:
The solution to the graph of inequality given above is the shaded portion or the shaded part of the graph.
Since the point ( -3, -3) and ( 3, -1 ) are on the point line, and the line is a broken line, the inequality means greater than. That means that solution must be greater than those point. They are therefore not part of the solution.
Point ( 5, -5), where x = 5 and y = -5, according to the graph, the shaded portion does not cover y at -5.
Option C is therefore the correct answer which is within the shaded portion. (1, 5)
What is the degree of the polynomial given below?
F(x) - 2x3 - x2 +5x - 3
Answer:
3
Step-by-step explanation:
3 is the degree of polynomial [tex]f(x) = -2x^3-x^2+5x-3[/tex]
=> Degree of the polynomial is the highest power/exponent contained by the variable in the expression.
Answer:
The degree of the polynomial would be 3, since 3 is the largest exponent
Step-by-step explanation:
What is the distance between (-2. 1/2,-3) and (1, -3)?
Answer:
3 1/2 (in fraction form but 11.2... something) hope this helps
Step-by-step explanation:
What is 5π/6 radians converted to degrees? If necessary, round your answer to the nearest degree.
Answer:
300 degrees
Step-by-step explanation:
we know that [tex]\pi = 360 degrees[/tex][tex]\pi = 360 \ degrees[/tex]
we have to find value of [tex]5\pi /6[/tex]
for that we have to multiply 5/6 to [tex]\pi[/tex] and 360 degrees
[tex]\pi = 360 \ degrees\\5\pi /6 = 5/6 *360 = 300[/tex]
Thus, [tex]5\pi /6[/tex] = 300 degrees.
Answer:
150
Step-by-step explanation:
How many times will the digit '1' appear if we write all whole numbers from 1 to 999?
Answer: The number one occurs 300 times while writing the numbers from 1 to 999.
Step-by-step explanation:
Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.
5.2 is 23.7 % Of what number? (Round to the nearest hundredth.)
Answer:
21.94
Step-by-step explanation:
Convert the percentage to a decimal.
23.7% = 0.237
Divide the number the decimal.
5.2/0.237 = 21.94
The answer is 21.94.
What is the formula for finding the area of a regular polygon with perimeter P and apothem length a? A. A = 1/2(Pa) B. a = PA C. A = Pa D. a = 1/2(PA)
Answer:
The answer is A.) A=1/2(Pa)
Step-by-step explanation:
The area of a regular polygon with perimeter 'P' and apothem length 'a' is [tex]\frac{1}{2}Pa[/tex] .
What is a regular polygon?A polygon is a two-dimensional geometrical figure that has 'n' number of equal sides.
Given, the perimeter of the regular polygon is 'P'.
Apothem length of the polygon is 'a'.
Therefore, the area of a regular polygon is
[tex]= \frac{1}{2}Pa[/tex]
Learn more about a regular polygon here: https://brainly.com/question/4442699
#SPJ2
Can anyone help me do this
Answer:
260% of 420=1092
166 2/3%of 60= 100
PLEASE HURRY Quadilateral abcd is inscribed in circle z such that AB is parallel to DC and m
Answer:
41°
Step-by-step explanation:
Looking at the attached diagram
A central angle of a circle is always congruent to its intercepted arc.
Therefore, m arc BC = m∠BZC
Again, m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.
This gives us the following results:
= m∠BZC = 82°
= m arc BC = m∠BZC
= m arc BC = 82°
= m∠BAC = 1/2 × 82°
= m∠BAC = 41°
Note that:
∠DCA ≅ ∠BAC because alternate interior angles are congruent.
So m∠DCA = m∠BAC.
Hence, m∠DCA = 41°.
Which simplified fraction is equivalent of 5.6 3/15 14/25 5/6 14/250
Answer:
4/25
Step-by-step explanation:
can anyone help me on both please dont put stupid awsers to get the points
Answer: Ok for the second one because I don't really get the wording in the first one (thats cuz i SUCK at vocabulary) the answer is 756,100 and a number greater is any number from 756,073-756,149
Step-by-step explanation:
ok so 756072 rounds to 756100 because 72 is closer to 100 than it is to 0
from 50 on, you would round up so to round up to 756100 the smallest possible number is 756050 since the 50 will round up
the highest number is 756149 because from 50 onwards it will round to 756200 instead.
so you can choose any number from 756050-756149
1. Label and display your new polynomial identity 2. Prove that it is true through an algebraic proof, identifying each step 3. Demonstrate that your polynomial identity works on numerical relationships (x + y)* (x^2 + 2xy + y^2) the new polynomial
Answer:
(ax+b) (x+a)
Step-by-step explanation:
Find the missing length to the attached triangle.
Answer:
x = 135
Step-by-step explanation:
Use the right triangle altitude theorem and similar triangles.
x/81 = 225/x
x^2 = 81 * 225
x = 9 * 15
x = 135
Answer:
135
Step-by-step explanation:
PLS ANSWER BEFORE 7/12/18 THANK YOU!!!
Mrs. Herby bought some carrots. She put 2/5 of them on a platter and the rest in a plastic bag. If there were 8 carrots on the platter, how many carrots were there in the plastic bag?
Answer:
12
Step-by-step explanation:
Rewrite the function by completing the square
Answer:
[tex](x+10)^2-186[/tex]
Step-by-step explanation:
Gasoline prices are rising at a rate of 0.5% per month. What is their doubling time? By what factor will prices increase in one year? In six years?
Answer:
double: 1%
year6%
6 year: 36%
Step-by-step explanation:
Given the parent function of f(x) = x^(4, what change will occurr when the function is changed to f((1)/(2) x))
Answer:
The graph of the function f( (1/2)x ) will expand across x-axis
Step-by-step explanation:
We have been given the function:
f(x) = x⁴
If we substitute x = (1/2)x into the given equation, we get:
f((1/2)x) = ( (1/2)x )⁴
We can simplify the equation
f((1/2)x) = = (1/2)⁴ x⁴
f((1/2)x) = = (1/16) x⁴
Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴
(Will mark brainliest if corret.)
Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants to save. What is 0.4% written as a decimal?
Answer:
0.4% = 0.40 or 0.4
One zero of the polynomial function f(x) = x^3 + x^2 + 20x is x = 0. What are the zeros of the polynomial function?
0, −5, −4
0, −5, 4
0, 5, −4
0, 5, 4
Answer: 0, −5, 4
Step-by-step explanation:
The given function is
[tex]f(x)=x^3+x^2-20x[/tex]
One of the zero of the given polynomial function is x=0.
To find other zeroes put f(x)=0
[tex]x^3 + x^2 - 20x=0\\\\\Rightarrow\ x(x^2+x-20)=0\ \ \ [\text{Taking x as common}][/tex]
That is
[tex]x^2+x-20=0[/tex] or [tex]x=0[/tex]
if [tex]x^2+x-20=0[/tex]
then [tex]x^2+5x-4x-20=0\ \ \ [\text{By using middle term splitting method}][/tex]
[tex]\Rightarrow\ x(x+5)-4(x+5)=0\\\\\Rightarrow\ (x+5)(x-4)=0\\\\\Rightarrow\ x=-5, 4[/tex]
So, the zeroes of f(x) are 0, −5, 4 .
Hence, the correct option is 0, −5, 4.