Answer:
В. 270°cw rotation about the origin
Step-by-step explanation:
We can rotate a total of 360 degrees in a circular pattern.
If we rotate x degrees in one direction, this rotation is equivalent to rotating (360 - x) in the other direction, because we would arrive in the same place.
So if we rotate 90 degrees in the counter clockwise direction, this is equivalent to rotating (360 - 90) = 270 degrees in the opposite direction, that is, in the clockwise direction.
So the correct option is B. -> 270°cw rotation about the origin.
Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four"?
(1 – n) – 3 = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(4 – 3n)
3 – (1 – n) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(4 – 3n)
(n – 1) – 3 = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(3n – 4)
3 – (n – 1) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(3n – 4)
Answer:
3 - (n - 1) = 1/2(3n - 4)
Step-by-step explanation:
We want to write three minus the difference of a number and one equals one-half of the difference of three times the same number and four as an equation.
Let the number be n.
The first part is: three minus the difference of a number and one:
3 - (n - 1)
The second part is: one-half of the difference of three times the same number and four:
1/2(3n - 4)
Now, let us equate the first and second parts:
3 - (n - 1) = 1/2(3n - 4)
PS: I really do not understand the options
Answer:
D) 3 – (n – 1) = left-parenthesis 6 plus 2 right-parenthesis left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(3n – 4)
this Venn diagram shows was played by 10 students let event A = was the same play basketball like even see it with a student play soccer what is a P(A OR B)
Answer:
B. 3/5 is correct.
Step-by-step explanation:
P(A or B) is the number of students within either set (circle) divided by the total number of students (10).
There are 6 students (3+1+2) in the sets, so
P(A or B) = 6/10 = 3/5
Answer B. 3/5 is correct.
The value of P(A or B) from the Venn diagram is 2/5.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
Event A = Students that play basketball
Event B = Students that play Soccer
Now,
From the Venn diagram,
P(A) = 3/10
P(B) = 2/10
P(A ∩ B ) = 1/10
Now,
P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)
So,
P(A U B )
= P(A) + P(B) - P (A ∩ B)
= 3/10 + 2/10 - 1/10
= (3 + 2 - 1) / 10
= 4/10
= 2/5
Thus,
The value of P(A or B) is 2/5.
Learn more about the Venn diagram here:
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describe the transformation that maps the pre-image (^A) to the image (^A).
a. reflection of the y axis
b. a reflection over the x axis
c.a translation 6 units to the left
d. a translation 6 units to the right
Answer:
D. A translation 6 units to the right
Step-by-step explanation:
Triangle A coordinates
(-3,-1)
(0,1)
(-3,-5)
Triangle A' coordinates ( x + 6 )
(3,-1)
(6,1)
(3,-5)
Pleas answer this question now in two minutes
Answer:
y = 36.
Step-by-step explanation:
If you think about it, the three angles in the triangle add up to be 180. The missing angle just so happens to be part of a supplementary angle, that adds to be 180. If the unlabeled angle were denoted as x, we could have...
(y + 5) + y + x = 180
y + 41 + x = 180
(y + 5) + y + x = y + 41 + x
(y + 5) + y = y + 41
2y + 5 = y + 41
y = 36
Hope this helps!
Solve for x. 7x=28 4x=48
Answer: x=4
x=12
Step-by-step explanation:
7x=28
divide 7 on both sides
28/7=4
x=4
4x=48
divide 4 on both sides
48/4=12
x=12
Segment AX and Segment EX are secant segments that intersect at point X. What is the length of ED? a. 1 b. 3 c. 6 d. 9
Answer:
B. 3
Step-by-step explanation:
We can use secant theorem.
AX × BX = EX × DX
AX = 7 + 2 = 9
9 × 2 = (3 + x) × 3
18 = 9 + 3x
18 - 9 = 3x
9 = 3x
x = 9/3 = 3
The length of ED is 3 units.
Answer: B. 3 units
Good luck!
Vertical and Horizontal Lines
Write the equation of the line graphed below.
Answer:
x=3
Step-by-step explanation:
Because the line lies on x =3
Answer:
x=3
Step-by-step explanation:
This is a vertical line ( up and down)
Vertical lines are of the form x=
x=3
Suppose that a travel bureau claims that the trees in a forest are 85 feet tall
on average, with a standard deviation of 2 feet. If you took a sample of 64
trees, which of the following mean heights would be outside the 95%
confidence interval?
O A. 84.4 feet
B. 84.6 feet
C. 85.2 feet
D. 84.8 feet
The heights would be outside the 95% confidence interval will be 84.6 feet. Then the correct option is B.
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as μ and
The sample standard deviation σ, and
The sample size = n, and
Suppose that a travel bureau claims that the trees in a forest are 85 feet tall on average, with a standard deviation of 2 feet.
If you took a sample of 64 trees.
Then the heights would be outside the 95% confidence interval will be
For 95% confidence interval, we have z = 1.645
⇒ μ ± z (σ/√n)
⇒ 85 ± 1.645 (2/√64)
For negative sign, we have
⇒ 84.588
⇒ 84.6 feet
For negative sign, we have
⇒ 85.41
⇒ 85.4 feet
Then the correct option is B.
Learn more about confidence interval of population for small sample here:
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The scale on a map indicates that 1 inch represents 10 miles. If two cities are 2 3 4 inches apart on a map, how many miles apart are the two cities?
Answer:
Step-by-step explanation:
2340 miles
Given
1 inch represents 10 miles
thus,
1 inch on map = 10 miles in real
given the two cities are 234 inches apart on map
1 inch on map = 10 miles in real
multiplying both side by 234
1 inch*234 on map = 10 miles*234 in real
234 inch on map = 2340 miles in real.
Thus, two cities are 2340 miles apart.
Answer:
27.5 miles
Step-by-step explanation:
You need to multiply 2 3/4 by 10, because it says every inch represents 10 miles.
2 3/4 * 10
11/4 * 10/1 = 55/2
27 1/2 or, 27.5
Need help quick plz I need this to be right thank u and plz
Answer:
1067 cm³Step-by-step explanation:
[tex]V=10^2\cdot7+\frac13\cdot10^2\cdot(18-7)=700+\frac13\cdot1100=700+366,(6)=1066,(6)\\\\V\approx1067\,cm^2[/tex]
find x.
help please !!
Answer:
x = 95°
Step-by-step explanation:
[tex]x = ?\\Sum -of- interior -angles=?\\Shape = pentagon\\No -of - sides= 5\\Sum- of- interior- angles = (n-2)180\°\\=(5-2)\times180\°\\3\times180\°\\Sum-of-interior-angles=540\°\\104\°+117\°+100\°+124\°+x\°=540\°\\445\°+x\° = 540\°\\x\° = 540\°-445\°\\x = 95\°[/tex]
Determine whether the formula describes y as a function of x. Explain your reasoning. (2 points) y = -x
Answer: Yes, it describes y as a function of x.
Step-by-step explanation:
A function describes y as a function of x if we have:
y = f(x)
where f(x) can be any function.
in this particular case, we have:
y = -x
so we can get this like f(x) = -x, that as we know this is a function of x.
then the relation y = -x is a function of x.
Another way to see it is that this actually is written as:
y = -1*x
the variable that is not being affected is the one being described, (in this case y) and the other variable is the variable of the function (in this case x.)
When the smaller of two consecutive integers is added to five times the larger the result is 35 find the integers
Answer:
5,6
Step-by-step explanation:
integers are set of positive and negative numbers. It does not have fraction in it.
Example.
.....- 4, -3, -2, -1,0, 1,2,3 ............
Thus we see integers are series of numbers with difference of 1.
Thus, if one integer is a
then next will be a+1
Given that
smaller of two consecutive integers is added to five times the larger the result is 35
larger integer = a+1
5 time larger integer = 5(a+1) = 5a +5
according to given situation
a+ 5a +5 = 35
6a = 35 - 5 = 30
=> a = 30/6 = 5
Thus, integers are
a = 5
a+1 = 5+1 = 6
im not too sure about this one could i get some help with it?
Answer:
98
Step-by-step explanation:
the measure of angles of a triangle=180
the measure of straight angle=180 find angle HAC:
180-128=52
angle A: 180-52-46= 82
now find IAC : 180-82=98 degrees
what are the degree and zeros of the polynomial f(x)=(x-1)^2(x+1)
Answer:
degree 3 zeros -1 and 1
Step-by-step explanation:
This is a third degree polynomial
f(x)=(x-1)^2(x+1)
It has an x^2 from the first term and an x from the second term for x^3
The zeros are x-1 =0 which means x=1
x+1 = 0 x=-1
Answer:
Step-by-step explanation:
First to khow the degree of this polynomial function we should develop it(x-1)²(x+1) = x³-2x²+x+x²-2x+1
= x³-x²-x+1
= x²(x-1)-x+1
= x²(x-1)-(x-1)
= (x²-1) (x-1)
THE DEGREE IS 3 we can deduce it from the second line THE ZEROES are -1 and 1 SINCE BOTH MAKE THE EXPRESSION EQUAL 0fractorise the following (a-b)²+(a-b)
Step-by-step explanation:
taking common (a-b)
so we get the answer
Please answer this question now in two minutes
Answer:
the correct answer is (b).........
Answer:
ABC = 140
Step-by-step explanation:
ABD = 70
ABD = DBC since it is bisected
ABC = ABD + DBC
= 70+70
ABC = 140
Please help I am going into advanced math and I have a packet due SOON can someone please help It would mean the world I have been nonstop working for 4 and a half hours trying to finish all help would be appreciated
Answer:
See the answers below.
Step-by-step explanation:
[tex]Slope\:=\:\frac{Rise}{Run}\:=\:\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{6}{100}=\frac{3}{50}[/tex] (Option C. is right choice.)
The constant rate of change is given by the slope as:
[tex]m=\frac{20-10}{30-15}\\\\m=\frac{10}{15}\\\\m=\frac{2}{3}[/tex]
Option H. is the right choice.
Best Regards!
True or false? An obtuse triangle cannot be similar to an acute triangle.
Answer:
True
Step-by-step explanation:
an obtuse triangle is a big one, an acute triangle is a small one. They are both triangles, but they are not similar besides that
Answer:
True
Step-by-step explanation:
Because if one acute is obtuse the other two will be obtuse
Yuto has a bag containing 3 red marbles 5 blue marbles 2 green marbles and 8 yellow Marbles what is the total number of possible outcomes for misaki’s marble
Answer:
17
Step-by-step explanation:
Mission Information :
This question is incomplete this line is missing in the question " Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble"
Now coming to the solution ,
Given :
Red marbles=3
blue marbles=5
green marbles=2
yellow Marbles=8
Total number of outcomes can be determined by
=Red marbles + blue marbles + green marbles + yellow Marbles
[tex]= 3\ +\ 5+2 +8=18[/tex]
As mention in the given question the Rin is pulling the 1 marble ,Now Total number of outcomes
[tex]=18-1\\=17[/tex]
Therefore 17 is the correct answer
My Answer:
17 is the correct answer, so letter C.
Red marbles=3
blue marbles=5
green marbles=2
yellow Marbles=8
A seagull is flying 12 feet above the water and spots a fish that is 12 feet away. What is the angle of depression fro the seagull to the fish? Round to the nearest degree.
Answer:
I want to say it forms a right angle
Step-by-step explanation:
because when you health it out, y-nwould be the height x- would be at sea level
twelve feet high up then flying down at an angle to get a fish twelve feet away would give a right angle
Use the Factor Theorem to determine which of the following are factors of 3x^4 + x^3 - 63x^2 + 39x + 20 x - 4, x + 1/3, x + 1, x + 2/3, x - 2/3, x + 5, x + 4
Answer:
(x -4)(x +1/3)(x +5)Step-by-step explanation:
The Factor Theorem says that if f(a) = 0, then (x -a) is a factor.
To check if any of these binomials are factors, we evaluate the function at the opposite of the binomial's constant. The results show that these are factors:
(x -4)(x +1/3)(x +5)__
This is confirmed by the graph, which shows that the remaining factor is (x -1).
Answer:
x+ 1/3
x-4
x+5
Step-by-step explanation:
EDGE 2020 practice
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 PLZ HELP
Answer:
Answer:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
What is the function below to find f(4) f(x)=1/3•4^x
Answer:
85.33333
Step-by-step explanation:
You would simply substitute 4 whenever there is an x.
f(4) = (1/3) * 4^4
= (1/3) * 16 * 16
= (1/3) * 256
= 256/3
= 85.3333333333333333333333333333333333333
which is about 85.3333, or 85 and 1/3, or 256/3.
Hope this helps!
Mr. Hughes has contributed $4000.00 per year for the last ten years into a RRSP account earning 9.00% compounded annually. Suppose he leaves the accumulated contributions for another five years in the RRSP at the same rate of interest. A) How much will Mr. Hughes have in total in his RRSP account? B) How much did Mr. Hughes contribute? C) How much will be interest?
Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818
Please answer the question in the image below
Answer:
Up 5
Right 2
Step-by-step explanation:
Lets graph it first.
Look at the image below ↓
By looking at it we can tell that it is not narrower or wider but it has been sent up 5 and right 2.
Thus,
it has been moved up 5 and right 2.
Hope this helps :)
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x + k) is a horizontal translation of f(x)
• If k > 0 then shift left by k units
• If k < 0 then shift right by k units
thus (x - 2)² represents a shift to the right of 2 units
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Thus + 5 represents a shift up by 5 units
Overall the graph of y = (x - 2)² + 5 is the graph of y = x²
shifted right by 2 units and up by 5 units
Using the discriminant, how many real solutions does the following quadratic equation have? X^2+6x+10=0
Answer: No real solutions
Step-by-step explanation:
The discriminant can tell you how many solutions a quadratic equation has. The formula is b²-4ac. This also comes from the quadratic equation.
6²-4(1)(10)
36-40
-4
Since the discriminant is less that 0, there are no roots.
Please helppp meeeee!!!!!!
Answer:
18, 23
Step-by-step explanation:
a. We know that W = 5 and D = 3 so:
P = 3W + D = 3 * 5 + 3 = 18 points
b. We know that P = 50 and D = 14 and that we are solving for W so we get:
50 = 3W + 14
36 = 3W
W = 12 which means the losses are 35 - 12 = 23.
(a) Given:
number of wins = 5
and, number of draws = 3
To find :
Point of the team.
Solution:
P = 3*5 + 3
= 18
Point of the team = 18
(b) Given:
number of points = 50
and, number of draws = 14
To find :
Number of games lost by the team.
Solution:
50 = 3*win + 14
3*win = 36
win = 12
Number of games lost by the team = 35 - 12 =23
One side of a square is 3x + 2. Which expression represents the perimeter?
2(3x + 2)
(3x + 2)²
4(3x + 2)
Answer:
4(3x+2)
Step-by-step explanation:
Since all four sides of a square are the same length, the perimeter can be expressed as four times one of the side lengths. In this case, that is 4(3x+2). Hope this helps!
Step-by-step explanation: since there are 4 sides on a square that will be the answer.
Answer: 4(3x + 2)
A survey asked people whether their pets are picky eaters. For these results,
are being a picky eater and being a dog independent or dependent events?
Justify your answer
Answer:
The probability for the dependent and the independent picky eater and not picky is similar in case of dependent variable and is different in case of independent variable.
Step-by-step explanation:
Independent variable is defined as the variables that are being manipulated, changed, or altered in a specific experiment or research in order to see its effect on the dependent variable.
The dependent variable is defined as the variable that is being measured or tested in a particular experiment or research by the investigator.
In the question above, as mentioned in the image or attachment, the probability of dog being picky or non-picky eater can be both dependent and independent in the different scenarios.
