Which of the following is the image of C after a rotation of 180° about the origin?
(-5, 2)
(-5, -2)
(-2, 5)
Answers
Answer:
Option A.(-5, 2).
Step-by-step explanation:
Picture attached in the question we know the coordinates of the point C are (5, -2). Now we rotate C with a rotation of 180° about the origin.
As we can see a line connecting C and a new point C'. This line shows the rotation of the poit by 180°.
Therefore the new coordinates of C will be C'(-5, 2).
Option A is the correct option.
Related Questions
The supply and demand curves reflect data for a specific brand of sunglasses. Which circumstance best explains the shift of the demand curve from D to D1?
a. An ad campaign highlights the sustainable resources used to make the sunglasses.
b. Consumer reports indicate that the sunglasses break easily.
c. Fuel costs increase, making it more costly to produce the sunglasses.
d. Tax incentives encourage the producer to hire more workers.
Answers
Since there is a decrease in quantity and supply the answer would be Consumer reports indicate that the sunglasses break easily.
Answer "A" is definitely wrong
You are paid $8.50/hr at your part-time job. Your deductions are FICA (7.65%), federal tax withholding (9.15%), and state tax withholding (7.5%). Your travel expenses are $6.00 per day worked. You work 16 hours over a 4-day period of time. What is your net income after travel expenses?,
Answers
Worker A earns $9.50 per widget produced, produces 7 widgets per day, and works 5 hours per day. Worker B earns $8.80 per widget produced, produces 9 widgets per day, and works 8 hours per day. Which of these statements is true?
Answers
Worker B earns $8.80 per widget and produces 9 widgets per day having worked 8 hors per day.
Total amount that worker A earns per day is 9.50*7=$66.5
Total amount that worker B earns per day is 8.80*9=$79.2
amount earned by worker A per hour is:
66.5/5=13.3 $/hour
amount earned by B per hour is:
79.2/8=$9.9 $/hour
the correct statement is:
C] Worker B earns more per day than worker A but less per hour than worker A.
APEX confirmed
Answer: worker B earns more per day than worker A but less per hour that worker A
You deposit $2200 Into three separate bank accounts for each pay 3% annual interest. How much interest does each account earn after 6 years?
Answers
Final answer:
Each of the three separate bank accounts with $2200 deposited at an annual interest rate of 3% will earn $396 in interest after 6 years.
Explanation:
The question asks about the amount of interest earned after 6 years on three separate bank accounts that each have a deposit of $2200 and an annual interest rate of 3%. To calculate the interest for each account, we can use the formula for simple interest, which is I = PRT, where I is the interest, P is the principal amount ($2200), R is the annual interest rate (0.03), and T is the time in years (6).
The interest for each account is calculated as follows:
I = PRT = $2200 × 0.03 × 6 = $396.
Therefore, each account earns $396 in interest after 6 years.
Each account earns [tex]\( \$396 \)[/tex] in interest after 6 years.
To calculate the interest earned on each account after 6 years, we'll use the formula for simple interest:
[tex]\[ \text{Simple Interest} = P \times r \times t \][/tex]
Where:
- P is the principal amount (the initial deposit)
- r is the annual interest rate (as a decimal)
- t is the time the money is invested or borrowed for, in years
Given:
- [tex]\( P = \$2200 \)[/tex] (the deposit into each account)
- [tex]\( r = 0.03 \)[/tex] (3% annual interest rate as a decimal)
- [tex]\( t = 6 \)[/tex] years (the time period)
Let's calculate the interest earned on each account using the formula.
[tex]\[ \text{Interest} = \$2200 \times 0.03 \times 6 \][/tex]
[tex]\[ \text{Interest} = \$2200 \times 0.18 \][/tex]
[tex]\[ \text{Interest} = \$396 \][/tex]
Which of the following is the solution to the equation x + 8.6 = 36.2?
10.4
17.2
27.6
44.8
Answers
x + 8.6 = 36.2
step 1
Subtract 8.6 both members
x+8.6-8.6=36.2-8.6
x=27.6
the answer is
the solution is x=27.6
The answer is 27.6 because 36.2-8.6 is 27.6
which choice is equivalent to the expression below?
√- 20
A. -20i
B. 2i √5
C. -2 √5
D. 2 √5i
E. 20i,
Answers
[tex] \sqrt{ - 20} = \sqrt{ 4 \times - 5} = 2 \sqrt{ - 5} = 2 \sqrt{5 \times ( - 1)} = 2 \ \sqrt{5} i[/tex]
1. A ball is dropped from a height of 225 feet. The ball’s height y (in feet) after t seconds can be modeled by y = 225-16t2 . After how many seconds does the ball hit the ground?
Answers
y = 225-16t²
we know that
the ball hit the ground when y=0
the point when y=0 is the x intercept of the graph
so
find the value of t for y=0
y=0
y = 225-16t²------> 0=225-16t²
16t²=225-------> t²=225/16----------> t=√(225/16) -----> t=15/4 sec
t=3.75 sec
the answer is
t=3.75 sec
see the attached figure
The ball will hit the ground after 3.75 seconds
Explanation:
The equation that models the height of the ball after t seconds is given as:
y = 225 - 16t²
Now, when the ball hits the ground, the distance between the ball and the ground would be zero. This means that the height of the ball would be zero.
Therefore, to get the time at which the time would be zero, we would set the height (y) in the above equation to zero and solve for the time as follows:
0 = 225 - 16t²
16t² = 225
t² = 14.0625
either t = +√(14.0625) = 3.75 sec ..........> accepted answer
or t = -√(14.0625) = -3.75 ........> rejected as time cannot be negative
Based on the above, the ball would hit the ground after 3.75 seconds
Hope this helps :)
1. The center of a circle is located at (5, −5) . The radius of the circle is 3.
What is the equation of the circle in general form?
x^2+y^2+10x−10y+47=0
x^2+y^2+10x−10y+41=0
x^2+y^2−10x+10y+47=0
x^2+y^2−10x+10y+41=0
2.The standard form of the equation of a circle is (x−5)2+(y−6)2=1.
What is the general form of the equation?
x^2+y^2−10x−12y−62=0
x^2+y^2+10x+12y+62=0
x^2+y^2−10x−12y+60=0
x^2+y^2+10x+12y+60=0
Answers
1) Answer D since (x-5)²+(y+5)²=9 ==>x²+y²-10x+10y+41=0
2) Answer C since (x-5)²+(y-6)²=1 ==>x²+y²-10x-12y+60=0
Quick! Need the answer, will give brainiest
Answers
A good way to solve these problems is to first figure out the system if the functions were regular equalities. Then, to determine which direction the inequality sign goes, ask whether the graph is shaded above or below y. For above, that means y is greater than... below, less than. A solid line means greater/less than or equal to.
Which explanation justifies how the area of a sector of a circle is derived?
Determine the percent of the sector of the circle divided by the degrees in a circle. Then find the number of triangles within a circle. Divide the two numbers and multiply by the area of the circle.
The sector of a circle is a fractional part of the circle. Determine the fraction of the circle that the sector represents. Multiply this fraction by the area of the entire circle.
The sector of a circle represents a part of a whole circle. Determine how many sections of the sectors will fit in the circle. Multiply this number by 180 and then multiply it by the area of the circle.
Find how many sector pieces fit in a circle. Divide this number by the total degrees in a circle. Then multiply the quotient by the diameter of the circle.
Answers
The angle of the sector is one fraction of 360°. Therefore the sector is a fraction of the entire circle. Multiply this fraction by the area of the entire circle and you get the area of the sector.
The sector of a circle represents a part of a whole circle. Determine how many sections of the sectors will fit in the circle. Multiply this number by 180 and then multiply it by the area of the circle justifies how the area of a sector of a circle is derived
The explanation that justifies how the area of a sector of a circle is derived is:
"The sector of a circle represents a part of a whole circle. Determine how many sections of the sectors will fit in the circle. Multiply this number by 180 and then multiply it by the area of the circle."
This method involves finding the fraction of the circle that the sector represents by dividing the central angle of the sector by 360 degrees. Then, multiply this fraction by the area of the whole circle to get the area of the sector.
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To show the variation in a set of data, you could calculate the
Answers
Answer:
range
Step-by-step explanation:
apex
To show the variation in a set of data, we can use the standard deviation as a tool.
What is Data variability?Data variability also known as spread or dispersion, refers to how spread out a set of data is. Variability gives users a way to describe how much data sets vary and allows users to use statistics to compare their data to other sets of data.
Given is variation in a set of data.
To show the variation in a set of data, we can use the standard deviation which provides a numerical measure of the overall amount of variation in a data set, and can be used to determine whether a particular data value is close to or far from the mean.
Therefore, to show the variation in a set of data, we can use the standard deviation as a tool.
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What is the area of the circle if XY = 5.4 mm?
Answers
Since area of a circle is 'A = piR^2'.
We don't have the radius (from the middle out) but we do have the diameter (from one point to the other). We can divide this by 2 to find the radius.
5.4/2 = 2.7.
The radius is 2.7.
A = 3.14(2.7^2)
A = 22.8
the answer would be 7.29π mm² because what you would do is
you would first divide 5.4 by two in order to get what the radius is
then you would multiply 2.7 times 2.7 in order to get 7.29
the reason that this is correct is because you have to make sure that you plug in the right values in the formula
Which graph could be the graph of f(x)=|x-h|+k if h and k are both positive?
Answers
What is the area of a circle whose radius is 5 ft? 5π ft² 10π ft² 20π ft² 25π ft²
Answers
Answer:
The area of the circle is equal to [tex]25 \pi\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of circle is equal to
[tex]A=\pi r^{2}[/tex]
where
r is the radius of the circle
In this problem we have
[tex]r=5\ ft[/tex]
substitute
[tex]A=\pi (5^{2})=25 \pi\ ft^{2}[/tex]
The area of a circle with a radius of 5 ft is equal to 25π ft² which is calculated using the formula A = πr². Below step-by-step calculation helps in understanding how to apply the formula correctly.
To find the area of a circle whose radius is 5 ft, we use the formula for the area of a circle: [tex]A = \pi r^2[/tex].
Step 1: Identify the radius (r) of the circle
[tex]r=5 \text{ ft}[/tex]Step 2: Plug the radius value into the formula
[tex]A &= \pi (5 \text{ ft})^2[/tex]Step 3: Square the radius
[tex](5 \text{ ft})^2 = 25 \text{ ft}^2[/tex]Step 4: Multiply this result by π (pi)
[tex]A = \pi \times 25 \text{ ft}^2[/tex]which gives [tex]A = 25 \pi \text{ ft}^2[/tex].
Therefore, the area of a circle with a radius of 5 ft is 25π ft².
What number should be placed in the box to help complete the division calculation?
Answers
13*2 = 26
so the number in the box should be 260
Find the volume v of the described solid s. a right circular cone with height 7h and base radius 3r
Answers
r = 3 cm
h = 7 cm
s = 7.61577 cm
V = 65.9734 cm³
L = 71.777 cm²
B = 28.2743 cm²
A = 100.051 cm²
Agenda:
r = radius
h = height
s = slant height
V = volume
L = lateral surface area
B = base surface area
A = total surface area
π = pi = 3.14159
√ = square root
Formula: Volume of a cone: V = (1/3)πr²h
The volume of a right circular cone with height 7h and base radius 3r is ⅔ 9r² h.
Explanation:The volume of a right circular cone can be calculated using the formula V = ⅔ ² h, where r is the radius of the base and h is the height of the cone.
In this case, the height of the cone is 7h and the base radius is 3r.Plugging in the values, we have V = ⅔ (3r)² (7h) = ⅔ 9r² h.
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What is the sum of the first 7 terms of the series −4+8−16+32−... ?
Enter your answer in the box.
Answers
we have that
−4+8−16+32−.....
a1=-2*(-2)-----> -4
a2=-4*(-2)-----> +8
a3=+8*(-2)-----> -16
a4=-16*(-2)----> +32
a5=+32*(-2)----> -64
a6=-64*(-2)-----> +128
a7=+128*(-2)-----> -256
The sum of the first 7 terms of the series is
[a1+a2+a3+a4+a5+a6+a7]-----> [-4+8-16+32-64+128-256]-------> -172
the answer is -172
Explain why (√10)^3d is equivalent to (10^d)^3/2
Answers
A law in indices.. √a = a^1/2
(10)^3d/2
(10)^3/2 × d
(10)^d×3/2
A law in indices also..
(a²)² = (a) ²*²
Therefore:-
(10)^d×3/2 will eventually give..
(10^d)^3/2... As required....
Hope this helped...
GIVING BRAINLIEST TO THE FIRST RIGHT ANSWER!!!!
The following is the correct way to show the product for 0.453 × 8.1:
True
False
Answers
Answer:
true
Step-by-step explanation:
Find n (write in simplest radical form)
Answers
What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by [tex] \sqrt{3} [/tex], and you can find the hypotenuse by multiplying the short leg by 2.
In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9[tex] \sqrt{3} [/tex]
I need help with this as well
Answers
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.
Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24
Find BC:
AB/BC = FG/GH
4/BC = 8/8
8BC = 32
BC = 4
Find CD:
BC/CD = GH/HJ
4/CD = 8/10
8CD = 40
CD = 5
Find DE:
CD/DE = HJ/JK
5/DE = 10/12
10DE = 60
DE = 6
Find EA
DE/EA = JK/KF
6/EA = 12/10
12EA = 60
EA = 5
An unlabeled hierarchical diagram of various astronomical bodies is shown below. The labels A, B, C and D can be used to represent the galaxy, Mars, universe, moon, and solar system.
Part 1: Which four astronomical bodies would you choose to represent the four labels in the diagram?
Part 2: Explain why the hierarchical level D is different from the rest.
Answers
The four astronomical bodies represents here are A represents Universe, B represents Galaxy, C represents Solar System, and D represents Mars.
The hierarchical level D is different from the rest is because Mars is a planet and unlike all other astronomical bodies it does not hold other astronomical bodies with in it.
What are astronomical bodies?"Astronomical bodies are objects in space like sun, moon, planets, and stars. They form a part of the vast universe we live in and are very far from Earth."
What is Universe?"The universe includes all space, time, and their objects that also includes planets, stars, galaxies, and other forms of matter and energy."
What is Galaxy?"Galaxy is a vast collection of dust, gas, billions of stars with their solar systems that are all held together by gravity."
What is Solar System?"Solar System is a gravitationally bound system of eight planets, their moons in orbit round the sun with small bodies like comets, meteoroids, and asteroids."
What is Mars?"Mars is the fourth planet from the sun and the second smallest planet in the Solar System."
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Your revenue is 32456 your gross margin is 23487 your operating expenses are 8123 your profit is
Answers
To compute for your profit, you just have to deduct your operating expenses to your gross margin. The gross margin is already the gross profit you have earned which is computed by deducting cost of goods sold to the revenue.
23,487 (gross margin) – 8,123 (operating expenses) = 15,364 (profit)
Which of these following debts could possibly be forgiven under chapter 7 bankruptcy?
A. A mortgage
B. A student loan
C. Alimony
D. Child support
Answers
Hope it helps
Answer:
A. A mortgage
Step-by-step explanation:
The chapter 7 of bankrupcy states that the person that owes the money should have his/her posessions taken away and by selling them repay the creditors, even if the sum of the belongings does not cover up for the whole amount that the person owes, this means that a mortgage is forgiven, but the house or the property is taken away and sold in an auction in order for the creditor to recover some of the money lost.
solve for x: 7/8-1/x=3/4
x = 1
x = 2
x = 4
x = 8
Answers
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
[tex]\dfrac{7}{8}-\dfrac{1}{x}=\dfrac{3}{4}\\\\7x-8=6x\qquad\text{multiply by $8x$ to clear fractions}\\\\\boxed{x=8}\qquad\text{add $8-6x$}[/tex]
__
If you don't mind dealing with fractions, you can add 1/x -3/4 to get ...
7/8 -3/4 = 1/x
1/8 = 1/x . . . . . . . simplify
x = 8 . . . . . . . . . . take reciprocals; equivalently, multiply by 8x.
Please help asap!!! 12 points
Answers
Do two triangles with the same base and height have the same area
Answers
The area is half the product of base and height. If those dimensions are the same, the area is the same.
Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months?
Answers
That would be 3,704 miles.
The junior class has 50 students. Twenty-five students take only french, 15 take only Latin, and 10 take both. If a student is chosen at random from the class, what is the probability that the student takes latin?
A.)1
B.)1/2
C.)
1/4
Answers
Therefore:
15+10 =25 total students taking Latin
25students / 50 total students = 1/2
The answer is 1/2.
Answer: B ) [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given: The number of students in junior class n(S)= 50
The number of students take only Latin n(L-F)= 15
The number of students take only French n(F-L)=25
The number of students take both = n(F∩L)=10
The number of students take Latin n(L)=n(L-F)+n(F∩L)=15+10=25
Therefore, the probability that the student takes Latin is given by :-
[tex]\text{Probability(Latin)}=\frac{\text{number of students take latin}}{\text{Total students}}\\\\=\frac{25}{50}=\frac{1}{2}[/tex]
What is the value of c such that x2 + 10x + c is a perfect square trinomial?
Answers
The value of c that makes x² + 10x + c a perfect square trinomial is c = 25.
What value of c makes the equation a perfect square trinomial?Given the equation in the question:
x² + 10x + c
A perfect square trinomial is of the form (ax² + bx + c), and it can be factored into (px + q)², where p and q are constants.
To find the value of c such that x² + 10x + c is a perfect square trinomial, we need to factor it as (px + q)².
Note that, the coefficient of x in the given trinomial is 10, so 2pq must equal 10.
Also, the coefficient of x² is 1, so p² must equal 1.
Hence, we have:
2pq = 10
p² = 1
From equation (2), we know that p could be either 1 or -1, after taking the square of both sides:
If p = 1, from equation (1) we have:
2pq = 10
2(1)q = 10
2q = 10
q = 10/2
q = 5
So, if p = 1 and q = 5, the perfect square trinomial is (x + 5)².
Let's expand to check:
(x + 5)² = x² + 10x + 25
Therefore, the value of c is 25.
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