The right choice is (C) A translation that leaves the origin fixed while changing the shape of the curve
Step-by-step explanation:A transformation in which the center of rotation is fixed and everything else on the plane rotates about that point by a given angle is called rotation. A rotation is described by the centre of rotation, the angle of rotation, and the direction of the turn. The centre of rotation is the point that a shape rotates around. Each point in the shape must stay an equal distance from the centre of rotation.
Answer: a translation that leaves the origin fixed while not losing the shapes of the curves
Step-by-step explanation:
Jane has 2/3 of a lemon pie left over after Easter.she decided to give 1/2 of it to her sister.How much of the whole lemon pie was given to Jane's sister?
Answer:
1/3
Step-by-step explanation:
1/2 of 2/3 = 1/2·2/3 = (1·2)/(2·3) = 1/3
PLEASE PLEASE PLEASE PLEASE HELP ME!! I'LL GIVE POINTS, BRAINLY, AND FRIEND!! :)
In order to sell a piece of land an owner must indicate the boundary of the property and acreage of the land. To model the scenario, create a composite shape that represents the land. Explain how to find the length of the boundary and the acreage of the property with the composite shape.
So just say the piece of land is in the shape of a rectangle and a triangle put together. To find the length (perimeter) add each sides up and subtract the line where the two shapes meet. To find the acreage (area) find the area of the rectangle (length*width) and add the area of the triangle (1/2*base*height)
What is the first quartile of this data set
Answer:
C:12
Step-by-step explanation:
should be 13.5
The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set.
so the middle number of 10,11,12,15,17,19 is 13.5 since 12+15=27/2=13.5
the closest answer choice is C! Hope this helped!
Answer:
The correct option is C.
Step-by-step explanation:
The given data set is
10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
Divide the data in two equal parts.
(10, 11, 12, 15, 17), 19, (22, 24, 29, 33, 38)
Divide each parenthesis in two equal parts.
(10, 11), 12, (15, 17), 19, (22, 24), 29, (33, 38)
The first quartile is 12, second quartile or median is 19 and third quartile is 29.
Since the first quartile of the data set is 12 Therefore, the correct option is C.
A market sells strawberries for $5 per pint. Yesterday the market sold $46 worth of strawberries and today $52 worth. Which of the following is a good estimation of the total number of pints sold?
Answer:
yesterday 9 today 10
Step-by-step explanation:
46/5= 9.2
52/5= 10.4
Cost to store: ?
Markup: 80%
Selling Price: $100.80. What is the cost to store?
Given a markup of 80% and a selling price of $100.80, the cost price is approximately $56. Subtracting this from the selling price yields a cost to store of $44.80.
To find the cost to store, we need to first calculate the cost price using the selling price and the markup percentage.
Given:
- Markup percentage: 80%
- Selling price: $100.80
Step 1: Calculate the cost price using the formula:
[tex]\[ \text{Cost Price} = \frac{\text{Selling Price}}{1 + \frac{\text{Markup Percentage}}{100}} \][/tex]
Substitute the given values:
[tex]\[ \text{Cost Price} = \frac{100.80}{1 + \frac{80}{100}} \][/tex]
[tex]\[ \text{Cost Price} = \frac{100.80}{1 + 0.80} \][/tex]
[tex]\[ \text{Cost Price} = \frac{100.80}{1.80} \][/tex]
[tex]\[ \text{Cost Price} ≈ 56 \][/tex]
Step 2: Calculate the cost to store by subtracting the cost price from the selling price:
[tex]\[ \text{Cost to store} = \text{Selling Price} - \text{Cost Price} \][/tex]
[tex]\[ \text{Cost to store} = 100.80 - 56 \][/tex]
[tex]\[ \text{Cost to store} = 44.80 \][/tex]
So, the cost to store is $44.80.
The point A(-7,5) is reflected over the line x=-5 and then is reflected over the line x=2 what are the coordinates of A’
Answer:
A''(7, 5)
Step-by-step explanation:
Reflection over the line x=L is the transformation ...
(x, y) ⇒ (2L-x, y)
For L=-5, this is ...
(x, y) ⇒ (-10 -x, y)
Then, translation over the line x=2 gives ...
(x, y) ⇒ (2·2 -(-10 -x), y) = (14+x, y)
So, the point (-7, 5) is translated to (14-7, 5) = (7, 5).
WILL VOTE BRAINLIEST :)
Mia is sitting in a canoe located located 140 m from the base of a 51 m cliff.
A) What is the sine of the angle of elevation that Mia’s eyes pass through as she gazes at the cliff from bottom to top? Explain. Give an exact answer.
B) What is the angle of elevation that Mia’s eyes pass through as she gazes at the cliff from bottom to top? Around your answer to the nearest tenth of a degree.
Try suggested solution, note the answers are marked with green colour.
I don’t get it Can Someone help me??
Answer:
63.7%
Step-by-step explanation:
If a point is chosen from the circle at random, the probability it came from the shaded region is the ratio of the area of the shaded region (square) to the area of the circle.
area of square = (1/2)(diagonal)^2 = (1/2)·(2 in)^2 = 2 in^2
area of circle = πr^2 = π·(1 in)^2 = π in^2
Fraction of circle that is shaded = (square area)/(circle area) = 2/π ≈ 63.7%
63.7% good luck hope it’s right
What is the place value of the 9 in the number 922,428? A) Ninety B) Nine hundred C) Ninety thousand D) Nine hundred thousand I need this answer by today for usatestprep.com.
Hey there!
The correct answer is D. Nine Hundred Thousand
This is the place it’s in => 900,000
Hope this helps you!
God bless ❤️
Brainliest would be appreciated!
xXxGolferGirlxXx
a ball is thrown vertically in the air with an initial velocity of 60 feet per second from an initial height of 6 feet. The equation describing the height of the ball at any time is s = -16t^2 +60t+6.
1. how long did it take for the ball to reach its height point?
2. How high did the ball go?
Answer:
1.875 seconds to reach the maximum height62.25 ftStep-by-step explanation:
The problem can be solved by putting the equation into vertex form.
s - 6 = -16(t^2 -15/4t)
s -6 -16(15/8)^2 = -16(t^2 -15/4t +(15/8)^2) . . . . add the square of half the x-coefficient inside parentheses and equivalent amount on the other side of the equation
s -62.25 = -16(t -15/8)^2 . . . . write as a square, simplify the constant
s = -16(t -1.875)^2 +62.25 . . . . put in vertex form
The vertex of the downward-opening parabola is at (t, s) = (1.875, 62.25).
1. It took 1.875 seconds for the ball to reach its maximum height.
2. The ball went up to 62.25 feet.
What is the fourth term of the expansion of the binomial (2x+5)^5?
Answer options:
A) 10x^2
B) 5,000x^2
C) 1,250x^3
D) 2,000x^3
Answer:
B) 5000x^2
Step-by-step explanation:
The exponent of x starts at 5 in the first term and decreases by 1 as the term numbers increase by 1. Hence, the 4th term will have 2 as the exponent of x. (It will have 5-2=3 as the exponent of 5.)
Pascal's triangle tells you the coefficients of the 6 terms in the expansion will be 1, 5, 10, 10, 5, 1, so the 4th term has a coefficient of 10.
The 4th term will be ...
10(2x)^2(5)^3 = 10·4·125·x^2 = 5000x^2
Explain how a car's speed is an example of a unit rate?
Explanation:
The denominator of "miles per hour" is 1 hour, a single unit. When the denominator of a rate is 1 unit, it is called a unit rate.
Find the area of this regular polygon round to nearest tenth
Answer:
[tex]A=163.9in^2[/tex]
Step-by-step explanation:
Let's use the regular polygon area formula when given the radius.
[tex]A=\frac{(r^{2})(n)sin(\frac{360}{n})}{2}[/tex]
r is radius
n is the number of sides
Let's plug in the proper values into this equation and simplify:
[tex]A=\frac{(7.74^{2})(7)sin(\frac{360}{7})}{2}[/tex]
[tex]A=\frac{(59.9076)(7)(0.78183148)}{2}[/tex]
[tex]A=\frac{327.86353299}{2}[/tex]
[tex]A=163.93176649[/tex]
Which statement is true? A. 2x – 1 = 13 and x = 6 B. 2x – 1 = 13 and x = 7 C. 2x + 1 = 13 and x = 7 D. 2x – 1 = 13 and x = 11
Answer:
B. 2x – 1 = 13 and x = 7
Step-by-step explanation:
We are given 4 equations and a solution for each. We have to tell which of the given solution satisfies the given equation.
Option A.
2x -1 = 13 and x = 6
Using this value in the equation, we get:
2(6) -1 = 13
12 - 1 = 13
11 = 13, which is not true. Hence this option is not valid
Option B.
2x - 1 = 13 and x = 7
Using the value in the equation, we get:
2(7) - 1 =13
14 - 1 =13
13 = 13, which is true. Hence this option is valid.
Option C.
2x + 1 =13 and x = 7
Using the value in the equation, we get:
2(7) + 1 = 13
15 = 13, which is not true. So this option is not valid
Option D.
2x - 1 = 13 and x = 11
Using this value in the equation, we get:
2(11) - 1 = 13
21 = 13, which is not true. Hence this option is not valid.
What is the volume of the sphere shown below??
R=13
Here is your answer
D. [tex]\frac{8788}{3}[/tex]π [tex]{units}^{3}[/tex]
REASON:
Formula for volume of sphere
= 4/3×π× r^3
Here, r= 13
So,
volume=4/3×π× 13^3
= 4/3×π× 2197
= 8788/3 ×π
HOPE IT IS USEFUL
The volume of the sphere is [tex]\bold{\frac{8788}{3} \pi ~~unit^3}[/tex]
The correct answer is option (D).
What is the volume of the sphere?V = (4/3) × π × r³, where 'r' is the radius of the sphere
For given example,
radius of the sphere (R) = 13
Using the formula o the volume of the sphere,
V = (4/3) × π × R³
V = (4/3) × π × 13³
V = 8788/3 π cubic units.
Therefore, the volume of the sphere is [tex]\frac{8788}{3} \pi[/tex] cubic units.
The correct answer is option (D) [tex]\frac{8788}{3} \pi ~~unit^3[/tex]
Learn more about the volume of the sphere here:
https://brainly.com/question/9994313
#SPJ2
PLS HELP ASAP ALGEBRA 2
Show your work also
Total number of people: 65 + 85 +38 +12 = 200
Total male = 65 +38 = 103
Total women: = 200-103 = 97
Total Type A = 65+85 = 150
Total Type B = 38+12 = 50
P(male or type b ) = 103/200 + 50/200 - 38/200 = 0.515 + 0.25 - 0.19 = 0.765 - 0.19 = 0.575
P(male | type b ) = 38/50 = 0.76
The answer is P(male or type b ) < P(male | type b )
LOTS OF POINTS!!! HELP ASAP Consider triangle QRS. The legs each have a length of 10 units. What is the length of the hypotenuse of the triangle? 5 units 5 square root of 2 units 10 units 10 square root of 2 units
Answer:
[tex]10\sqrt{2}[/tex]
Step-by-step explanation:
Pythagorean Theorem
QS^2+SR^2=QR^2
10^2+10^2=QR^2
100+100=QR^2
200=QR^2
[tex]\sqrt{200}=QR[/tex]
[tex]10\sqrt{2}[/tex]
Answer:
In right Δ QRS, right angled at , S.
By Pythagorean theorem
→(Hypotenuse)²=(Altitude)^2 +(Base)²
→ Q S² + SR² = QR²
→10² +10²= QR²
→ QR²=100+100
→ QR²=200
[tex]QR=\sqrt{200}\\\\ QR=\sqrt{10 \times 10 \times 2}\\\\ QR=10\sqrt{2}[/tex]
Option D
Hypotenuse[tex]=10\sqrt{2}[/tex] units
PLEASE ANSWER 80 POINTS! PLEASE!
Riley’s mother, Ms. Cooper, owns Cooper’s Storage and Shipping Company. Ms. Cooper took Riley with her to work for the day to show Riley the different jobs the company does.
1. Riley noticed an aquarium in his mother’s office. The aquarium has the dimensions 16 in. by 8.5 in. by 10.5 in. The formula for volume is: V = l x w x h
(a) Riley noticed that the aquarium was three-fourths full of water. How many more cubic inches of water would be required to fill the tank? Show your work.
(b) Another aquarium in the building has dimensions that are each triple the dimensions of the aquarium in Riley’s mother’s office. Riley thought that the volume would also triple. Is Riley correct? How many times greater is the volume of the larger aquarium than the volume of the smaller one? Show your work and explain your reasoning.
(c) Riley also thought that the surface area would triple. Is Riley correct? How many times greater is the surface area of the larger aquarium than the surface area of the smaller one? Show your work and explain your reasoning.
Here is one more
Riley finds out that Cooper’s Storage and Shipping Company is working with a local business to package some office supplies. Some of the supplies are packed inside a cube-shaped box with side lengths of 4 1/2
in.
These boxes are then packed into a shipping box with dimensions of 18 in. 9 in. 4 1/2 in.
(a) How many boxes of office supplies can be packed into the larger box for shipping? Show your work.
(b) Sometimes the shipping boxes are protected with an outer covering because of weather. Draw a net of the shipping box. Use the net to find the surface area of the shipping box to help decide how much outer covering will be needed to protect one box. Show your work.
See the attached picture for the complete answers to both questions:
Question A asked how much more water was required to fill the tank, so you need to calculate the full volume, then subtract 3/4 of the volume.
Question B, volume is cubed, so you need to cube the scale factor of 3. 3^3 = 27, so the larger tank is 27 times more.
Question C) Area is squared so you need to square the scale factor. Surface area would be 9 times more. 3^2 = 9
For the 2nd question, calculate the volume of each box and divide to find the number of boxes.
Then see the picture for total surface area for part B.
how do i write ten more shoes than ruben as a variable
Answer:
s + 10
Step-by-step explanation:
Ruben has s number of shoes. Then, 10 more shoes that Ruben has is
s + 10
Final answer:
To write an expression for 'ten more shoes than Ruben,' define a variable for Ruben's shoes, for example, R, and then add 10. The expression is R + 10.
Explanation:
If you want to write an expression for "ten more shoes than Ruben," you need to start by defining a variable for the number of shoes that Ruben has. Let's say that R represents the number of shoes Ruben has. Then, to express "ten more shoes than Ruben," you simply add 10 to that variable. Therefore, the expression would be R + 10. This straightforward notation clarifies the relationship between Ruben's shoe count and the additional ten pairs. By employing variables and simple arithmetic operations, such as addition, this expression succinctly conveys the concept of having ten more shoes than Ruben, facilitating mathematical communication and problem-solving.
Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
all are corespondent to each lateral line
What is the distance between (-5, 4) and (-1, 4)?
Answer:
4 units
Step-by-step explanation:
The distance from x=-5 to x=-1 on the line y=4 is -1-(-5) = -1+5 = 4 units.
_____
It might help to plot the points on a graph and count the grid squares between them.
Answer:
4 units
Step-by-step explanation:
on edge
Solve: -2y^2+x+24y-69=0
Answer:
x=2y^2 -24y + 69
Step-by-step explanation: Move the expression to the right side and change its sign.
I need help please explain how to do these two question as I did the rest of them. I just don't understand these.
Answer:
7. (4x +10)/(x^3 +3x^2 -16x -48)
9. -320/93
Step-by-step explanation:
7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.
6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))
= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator
= (6x +18 -2x -8)/((x -4)(x +3)(x +4))
= (4x +10)/((x^2 -16)(x +3))
= (4x +10)/(x^3 +3x^2 -16x -48)
_____
9. First you simplify the denominator:
2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400
Then you perform the division. This can be done by multiplying by the inverse of the denominator.
(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93
If a square has a length of 3x-y, what is its area?
Answer:
9x² -6xy +y²
Step-by-step explanation:
The square of the binomial can be written directly using the relationship ...
(a +b)² = a² +2ab +b²
where you have a=3x and b=-y.
area = (3x -y)² = (3x)² + 2(3x)(-y) + (-y)²
area = 9x² -6xy +y²
Kyle is saving his money to buy a computer for $300. He has already saved $75 and plans to save an additional $22.50 each day. Write an equation for the number of days Kyle will need to save in order to buy the computer
Answer:
75 + 22.50d = 300
Step-by-step explanation:
The equation sums the amount Kyle currently has (75) with the amount he saves in d days (22.50d). It sets that total to 300, since Kyle hopes to save a total of $300 in d days.
Find the solution to Y=-x^2+3 for X=-3,0, and 3
Answer:
3-,3,0,3
Step-by-step explanation:
For this case we must evaluate the following quadratic equation, [tex]y = -x ^ 2 + 3,[/tex] for [tex]x = -3[/tex], [tex]x = 0[/tex]and [tex]x = 3[/tex]
For [tex]x = -3[/tex]:
[tex]y = - (- 3) ^ 2 + 3\\y = -9 + 3 =\\y = -6[/tex]
For [tex]x = 0[/tex]:
[tex]y = - (0) ^ 2 + 3\\y = 0 + 3\\y = 3[/tex]
For [tex]x = 3[/tex]:
[tex]y = - (3) ^ 2 + 3\\y = -9 + 3\\y = -6[/tex]
Answer:
[tex](-3, -6)\\(0,3)\\(3, -6)[/tex]
Azarai is looking to purchase a new pair of basketball shorts costing $40. The New Jersey state tax rate is 7.5 percent. What final price must he pay??? Plzzz I will give you 100 points
Answer:
$43.00
Step-by-step explanation:
final price = marked price + tax
= marked price + (tax rate) · (marked price)
= (marked pric) · (1 + tax rate)
= $40.00 · 1.075
= $43.00
please help me w/H.W please show the work
1) 29
2) -15
//Hope this helps.
Answer:
1). (3² - 4²) = 29
2). 5a - 7b + b² = -15
Step-by-step explanation:
Points to remember
1) (a² - b²) = (a + b) (a - b)
Solve 22 - (3² - 4²)
To find (3² - 4²)
(3² - 4²) can be written as,
(3² - 4²) = (3 + 4 ) (3 - 4) = 7 * -1 = -7
22 - (3² - 4²) = 22 - (-7) = 22 + 7 = 29
22 - (3² - 4²) = 29
To solve 5a - 7b + b²for a = -1 and b= 5
Substitute the value of a and b in given expression we get,
5a - 7b + b² = (5 * -1) - (7 * 5) + 5²
= -5 - 35 + 25 = -15
Therefore 5a - 7b + b² = -15
HELP PLEASE!! IM REALLY STUPID!! // You have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins in all. Write and solve a system of linear equations to find the number x of nickels and y of dimes ( I’m not in college Btw I’m in middle school Idk why it says that lol)
Answer:
[tex]x=12[/tex] (12 nickels))
[tex]y=5[/tex] (5 dimes)
Step-by-step explanation:
Based on the information given in the problem, you can set up the following system of linear equations, where:
x: number of nickels.
y: number of dimes.
Then
FIRST EQUATION: [tex]x+y=17[/tex]
SECOND EQUATION: [tex]5x+10y=110[/tex] (in cents)
You can apply the Substitution method:
- Solve for x from the first equation.
- Substitute into the second equation and solve for y.
Then:
[tex]x=17-y[/tex]
[tex]5(17-y)+10y=110\\85-5y+10y=110\\5y=25\\y=5[/tex]
- Find x:
[tex]x=17-5\\x=12[/tex]
Complete the square to determine the maximum or minimum value of the function defined by the expression.
−x2^2 − 6x + 6
A) minimum value at 3
B) maximum value at 15
C) minimum value at −1
D) minimum value at −6
Answer:
B) maximum at 15
Step-by-step explanation:
Factor the leading coefficient from the first two terms.
-(x^2 +6x) +6
Add the square of half the x-coefficient inside parentheses and subtract the same quantity outside.
-(x^2 +6x +9) +6 -(-9)
-(x +3)^2 +15
Compared to the form
a(x -h)^2 +k
we find a=-1, h=-3, k=15. The negative vertical scale factor (a=-1) means the parabola opens downward. The vertex is located at (h, k) = (-3, 15).
The maximum value is 15.