The rule that describes the transformation is (x, y) - (-y, -x).
What is transformation?Transformation is the process of using rules to transform some graphics into something else.When a shape is either reflected, rotated, or translated, the coordinates of the vertices that make up the shape change.The four different forms of transformations—Translation, Reflection, Rotation, and Enlargement—are depicted in the following illustrations.The underlying coordinate system remains fixed while an object transformation modifies the coordinates of each point on the object in accordance with some rule. • A coordinate transformation expresses each point of the object in the new coordinate system by defining it in terms of the old one.The fourth option among the available choices depicts a 180° clockwise or counterclockwise rotation, in which is The vertices' x- and y-coordinates change to their opposites, i.e., x becomes -x and y becomes -y.
The rule that describes the transformation is (x, y) - (-y, -x).
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Which choice is equivalent to the product below for acceptable values of X? sqrt 6x² * sqrt 18x²
The choice which is equivalent is [tex]6x^2\sqrt{3}[/tex] option B
How to determine the valueWe have that;
[tex]\sqrt{6x^2} * \sqrt{18x^2}[/tex] where [tex]x\geq 0[/tex]
First, we factorize the square root
= [tex]\sqrt{2 * 3 * x^2 } . \sqrt{3 * 3 * 2 * x^2}[/tex]
Find the common factors
= [tex]2 * 3 x^2\sqrt{3}[/tex]
= [tex]6x^2\sqrt{3}[/tex]
Thus, the choice which is equivalent is [tex]6x^2\sqrt{3}[/tex] option B
The complete question is;
Which choice is equivalent to the product below for acceptable values of X? sqrt 6x² * sqrt 18x²
a. [tex]6\sqrt{3x}[/tex]
b. [tex]6x^2\sqrt{3}[/tex]
c. [tex]6\sqrt{18x}[/tex]
d. [tex]\sqrt{108x^2}[/tex]
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Please Help Brainliest
Using the z-distribution, the p-value would be of:
b) 0.0086.
What are the hypothesis tested?At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:
[tex]H_0: \mu_D - \mu_C = 0[/tex]
At the alternative hypothesis, we test if they are different, hence:
[tex]H_1: \mu_D - \mu_C \neq 0[/tex]
What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:
[tex]\mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086[/tex].[tex]\mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556[/tex].For the distribution of differences, it is given by:
[tex]\overline{x} = \mu_D - \mu_C = 12 - 14 = -2[/tex].[tex]s = \sqrt{s_D^2 + s_C^2} = \sqrt{0.6086^2 + 0.4556^2} = 0.76[/tex]What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
z = -2/0.76
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
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1. There are 50 contestants signed up for a TV show. There are 36 more female contestants than male contestants. How many female contestants have signed up to compete? Show your solution and explain how you plan to explain this to your students.
The number of female contestants who signed up to compete is; 43.
What is the number of female contestants?Let number of females = x
Let number of males = y.
Hence, it follows from the task content that;
x+y = 50
x-y = 36.
Hence, by adding both equations together in a bid to determine the number of females; we have;
2x = 86
x = 43.
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> Function g can be thought of as a translated (shifted) version of Y f(x) = x².
Using translation concepts, function g(x) is given as follows:
g(x) = x² - 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:
g(x) = x² - 3.
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HELPP WILL GIVE BRAINLIEST
which graph represents the function f(x) = sqrt(x) + 3
Answer:
the real answer is 2 I hope that
A bag contains five yellow tickets numbered one to five. The bag also contains five green tickets numbered one to five. You randomly pick a ticket. It is green or has a number greater than four. Find the probability of this occuring.
The probability of picking a ticket that is green or has a number greater than four is 3/5
How to determine the probability?The given parameters are:
Yellow = 1 - 5
Green = 1 - 5
Total = 10
There are 2 cards whose numbers are greater than 4 i.e. Yellow 5 and Green 5
So, we have:
P(Number greater than 4) = 2/10
There are 5 green cards.
So, we have:
P(Green) = 5/10
Also, 1 green card is numbered greater than 4
So, we have:
P(Green greater than 4) = 1/10
The required probability is:
P = P(Green) + P(Number greater than 4) - P(Green greater than 4)
This gives
P = 5/10 + 2/10 - 1/10
Evaluate
P = 6/10
Simplify
P =3/5
Hence, the probability of picking a ticket that is green or has a number greater than four is 3/5
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Find the surface area of this cone.
60π m2
20π m2
36π m2
54π m2
The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The surface area of a cone with radius (r) and slant height (l) is:
S.A = πr(r + l)
Given that r = 4, l = 5, hence:
S.A = π(4)(4 + 5) = 36π m²
The surface area of a cone with radius of 4 m and slant height of 5 m is 36π m²
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Answer:
36π m2
Step-by-step explanation:
An equestrian club orders magazine subscriptions for new members.
Last year they had 32 new members and spent $624 on subscriptions.
Use the equation 32m = 624 to find the cost of each subscription.
Enter your answer in the box.
Answer:
$19.50
Step-by-step explanation:
Dividing both sides by 32, we get $19.50.
Geometry question please help!
Answer:
4
Step-by-step explanation:
Since,
The width of the Longer gear is 7, and the smaller gear has a width of 3..
7-3 = 4
Hope it helps...
Marking me as Brainliest would help me... :(
Which of the following expressions would simplify to be the multiplicative identity?
023.32
023.23
021
0 20
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ASK FOR HELP
The expression that would be simplified to be a multiplicative identity is 2^0
How to determine the expression that would be simplified to be a multiplicative identity?The complete question is added as an attachment
Multiplicative identities are represented as:
a * 1 = a
This means that the definition of multiplicative identities is the product of a number and 1
From the list of options, we have
2^0
When the exponent of a non-zero number is 0, the result is 1.
This means that
2^0 = 1
Hence, the expression that would be simplified to be a multiplicative identity is 2^0
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A jar of tickets for a drawing contains 22 winning tickets and 63 non-winning tickets. What are the odds against winning in the drawing? please help
Answer: 22/85
Step-by-step explanation:
Answer:
22/85
Step-by-step explanation:
Simplify. x^2+5x-/14 x²+8x+7
please send a picture of it
the equation seems a lil bit complicated
Find the area of a triangle with legs that are: 16 m, 12 m, and 8 m.
Answer: 46.48 m²
Step-by-step explanation:
this question was answered already, go search it up
For f(x) = 2x + 1 and g(x) = x² - 7, find (f+ g)(x).
Answer:
(f + g)(x) = x² + 2x - 6
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 2x + 1 + x² - 7 ← collect like terms
= x² + 2x - 6 ← in standard form
Convert the following equation into slope-intercept form.
7x+y = 7
y = -7x+?
Answer:
y = - 7x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
7x + y = 7 ( subtract 7x from both sides )
y = - 7x + 7 ← in slope- intercept form
A ladder is leaning against a building as shown in the
diagram.
How many feet up the side of the building is the top of
the ladder?
ft
10 feet
6 feet
The length of ladder is 30 ft.
How can the feet that made up the side of the building is the top of the ladder be known ?The formula below can be used in solving the problem
Tan (∅)= [tex]\frac{opposite}{adajacent}[/tex]
∅=70°
opposite = BC
Adjacent = 12 ft
70°= opposite/ 12
opposite= 32.96 ft
Therefore, The length of ladder is 30 ft.
NOTE; Since the actual diagram can not be found i solved another on on the same topic
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CHECK COMPLETE QUESTION BELOW:
Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)
a. 25ft
b. 30ft
c. 35ft
d. 40ft
what is 73 division 84,649
73 division 84, 649 would give 8. 64 × 10^-4
How to determine the valueIn order to determine the value of the division, we have
= [tex]\frac{73}{84649}[/tex]
Using the calculator, put the values in
We would have
= 8. 64 × 10^-4
Thus, 73 division 84, 649 would give 8. 64 × 10^-4
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PLSS HELPPPPP ASAPP
Answer:
Step-by-step explanation:
area=length×width
=(2x+3)(3x-5)
Area=6x²-10x+9x-15
=6x²-x-15
he cone below has a radius of 3 inches, a height of 4 inches, and a slant height of 5 inches.
What is the approximate lateral area of the cone? Use 3.14 for π and round to the nearest whole number.
38 in.2
47 in.2
75 in.2
94 in.2
The lateral area of the cone is calculated as: B. 47 in.².
How to Find the Lateral Area of a Cone?Lateral area = πrl
Given the following:
Slant height (l) = 5 inches
Radius (r) = 3 inches.
π = 3.14
Plug in the values
Lateral area = (3.14)(3)(5)
Lateral area ≈ 47 in.²
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which of the following statements is true about the solution of the system? 2x-y=8 and y=2x-3
Answer:
no roots.
Step-by-step explanation:
[tex]\left \{ {{2x-y=8} \atop {y=2x-3}} \right. \ = > \ \left \{ {{2x-y=8} \atop {2x-y=3}} \right. \ = > \ no \ solution.[/tex]
If you spend $50 (including shipping) at an online store, you recieve a $10 gift card. You want to purchase CDs that cost $12 each. If shipping cost $5, write and solve an inequality to find the number of Cds you must to receive the giftcard.
Four CDs must be bought to receive a gift card from an online store.
How to determine the least number of CDs to be bought to receive a gift card
The total costs are equal to the sum of the shipping cost and the total related to the number of acquired CDs (n). The number of gift cards (m) is equal to the total costs divided by minimum spent money, that is, $ 50. We need to solve the following inequation to find the minimum quantity of CDs:
(12 · n + 5)/50 > 1
12 · n + 5 > 50
12 · n > 45
n > 45/12
n > 3.75
Four CDs must be bought to receive a gift card from an online store.
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2) Put the following numbers in order from
greatest to least.
6.05, 6.007, 6.5, 6.25
Answer: 6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
We need to look at each place value to see which one is the biggest. Since the units place is the same for all the numbers, let's look at the tenths place.
6.5, 6.25, 6.05, 6.007
Since 5 is the biggest number out of all that are underlined, 6.5 is the biggest one, and goes first.
2 is the second biggest number out of all that are underlined, so 6.25 goes second.
However, there are 2 numbers that have 0 in their tenths place, so we need to go one place value further: the hundredths place.
6.05, 6.007
Since 5 is bigger than 0, 6.05 goes third. 6.007 is the only number left, so it goes last.
Hence, the order is 6.5, 6.25, 6.05, 6.007
Solve the inequality for x.
5x-39-3(6-4x)
Simplify your answer as much as possible.
Answer:
= 5x-39-18-12x
=5x-12x-39-18
=-7x-57
Pakistan scored 270 runs and fell short of India's score by 10%. How much did
India score?
Answer:
India score 290 more than pakistan
Step-by-step explanation:
India score 20 more
I need help with this geometry question asap!
No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.
When are Two Lines Proven to be Parallel to each other?Two lines that are cut across by a transversal can be proven to be parallel to each other if:
The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].The corresponding angles along the transversal and on the two lines are congruent [corresponding angles theorem].Thus, given the following information:
m∠2 = 115°
m∠15 = 115°
With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.
In summary, we can conclude that:
D. None of the options are correct.
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Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).
the expression simplified is:
[tex]12x^3 - 25x^2 + 9[/tex]
How to simplify the given expression?
Here we have the expression:
[tex](4x - 3)*(3x^2 - 4x - 3)[/tex]
We just need to distribute the product, we will get:
[tex](4x - 3)*(3x^2 - 4x - 3)\\\\(4x)*(3x^2 - 4x - 3) - 3*(3x^2 - 4x - 3)\\\\12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9[/tex]
Now we just need to group terms with the same exponent of x:
[tex]12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9[/tex]
That is the expression simplified
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What is the product?
2
12 64
78 30
6
32
78 30
(050
69
78 30
899
32
39 15
66 8
64
38 30
Answer:
the product is 1.32057606543E32
.....................
Answer: 5020
Step-by-step explanation:
10^3= 1000
1000*5.02=5020
Evaluate functions from their graph Problem g(3) =
See attached for the correct answer!
The notation g (3), left parenthesis, 3 refers to the output of the function when the input is x=. If the point (3, b) is on the graph, then g (3) =b.
We should look for the point on the graph whose x- coordinate is 3 is the point )3, 4).
The point on the graph whose x-coordinate is 3 is the point (3,4).
Therefore, g (3) = 4
The value of g(3) is g(3) = 4
How to evaluate the function?The function value is given as:
g(x)
The notation g(3) implies that:
We determine the value of g(x) when x = 3
From the graph, the function has a point at (3,4)
This means that:
When x = 3, g(x) = 4
i.e. g(3) = 4
Hence, the value of g(3) is g(3) = 4
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The wheel of the average bicycle is 28 inches in diameter. How many feet will be covered in 9
turns of the wheel?
Answer:
Approximately 66 feet
Step-by-step explanation:
Given d = 28 inFind the circumference:
C = πd = 3.14*28 = 87.92 inFind the distance covered by 9 turns:
9C = 9*87.92 = 791.28 inConvert inches to feet:
1 foot = 12 in791.28 in = 791.28/12 ft = 65.94 ft ≈ 66 ft