Since the figures are scaled by a single factor, the scale factor can be gotten by simply finding the ratio of the corresponding sides.
Using the vertical height of the shape, we have the ratio to be
\(20\colon12\)Simplifying by dividing through by 4, we have the simplified ratio to be
\(5\colon3\)We can confirm by checking the ratio of one side of the base of the shape as follows:
\(35\colon21\)Simplifying by dividing through by 7, we have the simplified ratio to be
\(5\colon3\)Therefore, the scale factor is 5:3.
(- 6, 8) and (- 8, 2)
Answer:
Step-by-step explanation:
m= 3
Here are the cost of tickets at a cinema venue
Answer:
A=40.8 B=8
Step-by-step explanation:
A Explanation
£7.20*3=£21.6
£9.60*2=£19.2
19.2+21.6=40.8
B Explanation
£9.60*3=£28.8
86.40-28.8=57.6
57.6/7.20=8
Estimate 12.59 _ 7.68 to the nearest whole number
Answer:
13_8
Step-by-step explanation:
if the first number in the decimal is 5 or up then you round up if its 4 or less you round down meaning it would be 13 and 8
5 The population of a country was 13.1 million. (a) Nine hundred thousand of the population were at least 2 metres tall. How many were less than 2 metres tall?
Each of the following is a tip for saving EXCEPT:
A.
shop smart
B.
use credit cards
C.
pay yourself first
D.
focus on reaching a goal
A (good way to save money): If you shop smart, you can pick up amazing deals like BOGO's, 50% Off, 60 or even 70% off and yet you can still get so many brand that people enjoy
B (good way to save money): If you have a good credit card company, you can earn free rewards or even cheaper rewards for things that can cost large amounts
C (helps save lots of money): This is almost like paying another bill every month, where you set aside a certain amount every month for in the future like vacations or when you hit retirement. This could also be considered the answer because that could also bring to the lack of able to pay all bills needed
D (this is where I think the answer could be possible): Some people make "goals" of spending hundreds of dollars on shopping mall trips or goals of purchasing tons of things that want and can cost thousands of dollars, which is considered a waste of money
An adults heart beats around 2,100 every 30 minutes. A baby’s heart beats about 2,600 times every 20 minutes. How many more beats does a baby’s heart beat in 60 minutes than an adults heart?
Answer:
3600 beats
7800-4200=3600
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
there are 50 people in a coffee shop fourteen are tourist.what percent of people in the shop are tourist and non tourist
Answer:
tourist: 28%
non-tourist: 72%
Step-by-step explanation:
total: 50
tourists: 14
non-tourists:50 - 14 = 36
tourist percentage: 14/50 × 100% = 28%
non-tourist percentage: 36/50 × 100 = 72%
7) 5x² - y² +41x-3y + 24 = 0
3x-y=-4
A) (7,0), (6,0)
B) No solution.
C) (1,7), (7,0)
D) (1,7)
Answer:
D (1, 7)
Step-by-step explanation:
From equation 2
y = (-4 + y)/3
Plug this value into the first equation which will give an equation involving only y. Solve for y which should give y = 7
Plug this value of y = 7 into 3x -y = -4
=> 3x - 7 = -4
=> 3x = 3
x = 1
So solution is x =1, y = 7 which can be represented as (1, 7)
PLEASE HELP ASAP!!! FIND THE MULTIPLICITY AND ZEROS FOR THE GRAPH.
The zeros and their multiplicity are:
Zero: -1, Multiplicity: 1
Zero: 0, Multiplicity: 1
Zero: 1, Multiplicity: 1
Zero: 2, Multiplicity: 1
Zero: 2.5, Multiplicity: 1
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given:
A graph of a polynomial is given in the diagram.
A polynomial is intercepting the x-axis five times.
That means, there are five zeros.
The zeros and their multiplicity are:
Zero: -1, Multiplicity: 1
Zero: 0, Multiplicity: 1
Zero: 1, Multiplicity: 1
Zero: 2, Multiplicity: 1
Zero: 2.5, Multiplicity: 1
Hence, all the required values are given above.
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ1
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
Learn more about Slope here:
https://brainly.com/question/3605446
#SPJ1
Bryan has 86 more rubber bands than Hector. Hector has r rubber bands. Choose the expression that shows how many rubber bands Bryan has.
Answer:
You FAILED to list any choices
Step-by-step explanation:
b = r + 86
Answer: r+86
Step-by-step explanation: You add the number of rubber bands Hector has (r) and 86 to get the amount Bryan has.
A man gave 5/12 of his money to his son , 3/7 of the remainder to his daughter and the remaining to his wife if his wife gets rs 8700 what is the total amount
The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.
A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?
The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.
The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'
Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).
Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.
Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200
Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.
The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.
The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
for more such questions on total amount
https://brainly.com/question/9879870
#SPJ8
what is 333333,3333333333,000 x 2,000,000,000,000,000,000
Answer:
\(6666666666666666000000000000000000000\)
Answer:
66666666666666666666666666666666
Step-by-step explanation:
How to find x for h(x)=3
Answer:
M = 0 , b = 3
Step-by-step explanation:
y = 3
y = 0x + 3
y = 0x + 3, m = 0
y = 0x + 3, m = 0, b = 3
make sense?
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
h(p) =
p − 4 /
p^2 + 5
The critical points of the given function are p = 2 ± √13.
What are functions?A relation between a collection of inputs and outputs is known as a function.
A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain.
Critical function:
The key points are locations inside the function's domain where the function's nature changes.
The function stops increasing or decreasing at these places.
The function is: \(h(p)=\frac{p-2}{p^2+9}\)
The derivative test will be applied here:
\(\begin{aligned}& \therefore h^{\prime}(p)=0 \\& \Rightarrow \frac{d}{d p}\left(\frac{p-2}{p^2+9}\right)=0 \\& \Rightarrow \frac{\frac{d}{d p}(p-2)\left(p^2+9\right)-\frac{d}{d p}\left(p^2+9\right)(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{1 \cdot\left(p^2+9\right)-2 p(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{-p^2+4 p+9}{\left(p^2+9\right)^2}=0 \\& \Rightarrow-p^2+4 p+9=0\end{aligned}\)
Then,
\(\begin{aligned}& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{4^2-4(-1) 9}}{2(-1)} \\& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{52}}{-2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm \sqrt{52}}{2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm 2 \sqrt{13}}{2} \\& \Rightarrow p_{1,2}=2 \pm \sqrt{13}\end{aligned}\)
Therefore, the critical points of the given function are p = 2 ± √13.
Know more about functions here:
https://brainly.com/question/29523308
#SPJ4
A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
What number line represents -2.25 -0.75
Answer:
i dont know but hope this helps
Step-by-step explanation:
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left. Here, fractions and decimals have been represented on the number line. A number line can also be used to represent both positive and negative integers as well.
Suppose that a box contains 8 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable variable x as the number of defective cameras in the sample. What is the probability distribution for x?
The probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
How can we determine the probability distribution for x?Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:
C(8,2) = 8!/(2!×(8-2)!) = 28
So there are 28 possible ways to choose a sample of 2 cameras.
Now, let's calculate the probability of each possible value of x:
When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 0 is:
P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:
C(4,1) × C(4,1) = 4×4 = 16
So the probability of x = 1 is:
P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)
= 16/28
= 0.571
When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:
C(4,2) = 4!/(2!×(4-2)!) = 6
So the probability of x = 2 is:
P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)
= 6/28
= 0.214
Therefore, the probability distribution for x is:
x P(x)
0 0.214
1 0.571
2 0.214
to know more about probability
brainly.com/question/30034780
#SPJ1
A soup recipe makes 62.5
ounces. How many 12.5
ounce servings can be made
from the recipe?
5 servings of 12.5 ounces.
(the answer is 5 :^)
Volume is the amount of blank dimensional blank occupied
Answer:The quantity of three-dimensional space occupied by an object or substance, or contained within a specified three-dimensional space.
Step-by-step explanation:sorry if it’s wrong
Answer:
Volume is the amount of three-dimensional space occupied by a substance or object.
Step-by-step explanation:
The students have a box that is 12 inches long, 6 inches wide, and 4 inches tall. When
the students try to determine the volume of the box by filling it with blocks, they find
they don’t have enough blocks.
The students have learned about multiplication as equal groups. How could the
students determine the volume of the box by reasoning about equal groups? Try to
find several different ways they might reason
The volume of the box will be equal to V= 288 cubic inches.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.
The given parameters of the box are:-
12 inches long
6 inches wide
4 inches tall
So the volume of the box will be:-
V = L x W x H
V = 12 x 6 x 4
V = 288 square inches
Therefore the volume of the box will be equal to V= 288 cubic inches.
To know more about Volume follow
https://brainly.com/question/1972490
#SPJ1
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
Learn more about the area;
https://brainly.com/question/1658516
#SPJ1
TRUE OR FALSE?
The Transitive property on N states that: For any two natural numbers a and b, either a > b or a = b or b> a.
Answer:
False a=b
Step-by-step explanation:
A rectangle has a perimeter of 200m. The length to width ratio is 3:2. Find the LENGTH
Answer:
length = 60m
Step-by-step explanation:
let '3x' = length
let '2x' = width
3x + 3x + 2x + 2x = 200
10x = 200
x = 20
length = 3x = 3(20) = 60
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
While shopping in Georgetown, Ruben bought a wooden bench that was marked down 80% from an original price of $66.72. If the sales tax in Georgetown is 5%, what was the total cost of the wooden bench?
Answer:
14.01
Step-by-step explanation:
Answer:
$14.01
Step-by-step explanation:
Find the monthly payment of an ordinary annuity if the present value is 18,500 with an interest rate of 10% compounded quarterly for 6years.
Answer:
R(-5, 15), S(0, 10), T(-5, 5) and U(-15, 5): scale factor = 1/5, centered at the origin
Step-by-step explanation:
he entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
Someone please help me. I really nee help. this question is due tonight before 8 and im stuck.
The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].
The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).
In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.
So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.
In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].
for such more questions on function
https://brainly.com/question/11624077
#SPJ8
Which of the following equations has 62 as a solution
a) n + 3 = 21
b) m × 3 = 186
c) y + 140 = 201
The value of m in expression m-10 = 450 Corresponds to
a) 45
b) 460
c) 201
In how many parts should a segment of length of 4 meters be divided to obtain segments of length of 80 centimeters
a) 5 parts
b) 4 parts
c) 80 parts
Answer:
1. b
2. b
Step-by-step explanation:
Sorry, I'm not so sure for c
Answer:
the correct answer is:-
1) b
2) b
3) c
Step-by-step explanation:
1 ) b
2 ) b
3) c