To find the radius of a circle when we're given the coordinates of its center and a point it contains, we can use the following formula for distance:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex](x_1,y_1)[/tex] is one point and [tex](x_2,y_2)[/tex] is anotherSolving the QuestionWe're given:
Center: (-2,1)Point: (2,-1)Plug these given points into the formula for distance:
[tex]d=\sqrt{(2-(-2))^2+(-1-1)^2}\\d=\sqrt{(2+2)^2+(-1-1)^2}\\d=\sqrt{(4)^2+(-2)^2}\\d=\sqrt{16+4}\\d=\sqrt{20}\\d\approx4.47[/tex]
AnswerTherefore, the radius of the circle is [tex]\sqrt{20}[/tex] units, or approximately 4.47 units.
An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♫[/tex]
As we can see, the probability of this event is 2/7 = 0.28 (approx), so it's even less than 50%, hence we can conclude that the given event is less likely to happen.
The Correct choice is B
The less likely would be the best description of the likelihood of the event.
The correct option is B.
What is the probability?The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?
The probability of the event is 2/7.
To describe the likelihood of the event,
we can convert the fraction to a decimal:
2/7 = 0.2857...
Since the decimal is between 0 and 0.5, we can say that the event is "less likely" to occur.
Therefore, the best answer is B. Less likely.
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2.56x+0.14-187x
How to solve pls and answer
I wasn't sure if it was 180 so I decided to post it
Answer:
25
Step-by-step explanation:
These angles are supplementary, or add up to = 180 degrees:
(2x + 10) + (4x + 20) = 180
6x + 30 = 180
6x = 150
x = 25
Let's check our work:
2(25) + 10 = 60
4(25) + 20 = 120
60 + 120 = 180 degrees :)
Good luck!
Answer:
x = 25
Step-by-step explanation:
[tex](2x+10)+(4x+20)=180^{o}[/tex]
[tex]6x+30=180[/tex]
[tex]6x=180-30[/tex]
[tex]6x=150[/tex]
[tex]x=150/6[/tex]
[tex]x=25[/tex]
Hope this helps
The sum of two numbers are 21the second number is six times the first numberwhat are the two numbers
Answer:
3+18=21
Step-by-step explanation:
first see the second number
let us assume as x & y
3+ (3×6)= 21
3+18=21Step-by-step explanation:
Answer:
3+18
Step-by-step explanation:
3x6 is 18, so 18 is 6 times the first number. If you add 3 and 18, its equal to 21.
0.4 divided by 29 equally is?
Answer:
72.5 (Not rounded)
Hope this helps!
Increase £139 by 28%
Give your answer rounded to 2 DP
Answer:
£177.92
Step-by-step explanation:
To increase something by 28% would be to multiply the original value by 1.28:
So to increase £139 by 28%, we do:
£139 × 1.28 = £177.92
So this is our final answer
The expression 2(x2 - 4) – (x2 - 8x + 12) is equivalent to
-
A.
x2 - 8x + 4
B.
x2 + 8x - 4
С.
x2
- 8x + 20
D.
x2 + 8x - 20
Answer:
D
Step-by-step explanation:
Sasha is making custom designs using these small trapezoidal prisms. She wants to cover each of the 8 prisms in her current design in striped cloth on all sides. She has 3500 square centimeters of striped cloth.
Does Sasha have enough cloth to cover all 8 prisms in her current design?
Choose from the drop-down menus to correctly complete the statement.
The combined surface area of the prisms is cm², therefore Sasha have enough cloth for her current design.
Combined surface area for the 8 prisms is: 3,040 square centimeters.
3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth for the design.
What is the Surface Area of a Trapezoidal Prism?Surface area = (b1 + b2)h + PH
Given the following dimensions:
b1 = 5 cmb2 = 15 cmHeight of trapezium (h) = 7 cmPerimeter of trapezium (P) = 15 + 10 + 10 + 5 = 40 cmHeight of prism (H) = 6 cmPlug in the values into SA = (b1 + b2)h + PH:
Surface area = (5 + 15)7 + (40)(6)
Surface area = 380 sq. cm.
Combined surface area for the 8 prisms = 380 × 8 = 3,040 square centimeters.
3,500 cm² > 3,040 cm², therefore, Sasha has enough cloth.
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Answer:
The combined surface area of the prisms is 3040 cm², therefore Sasha does have enough cloth for her current design.
Step-by-step explanation:
7 + 6 = 13 (Length + Height)
13 x 5 = 65 side a (h + l)
15 x 13 = 195 side b (h+l)
10 x 6 = 60 side c x length
10 x 6 = 60 side d x length
All of the above added together is 380, one trapezoidal prism.
380 x 8 = 3040
I also did the quiz.
4. There are 130 students in grade one, 210 students in grade two and 290 students in grade three in a primary
school, and so on in an arithmetic sequence. What's the total amount of students in the primary school? (Primary
School has 6 grades)
Answer:
well jus subtract
Step-by-step explanation\
think about it
Answer:
The total amount of students in the primary school is 1,980.
Step-by-step explanation:
130, 210, 290, ......
210 - 130 = 80
The difference between each grade is 80 students.
(g = grade)
g1 = 130, g2 = 210, g3 = 290, g4 = 370, g5 = 450, g6 = 530
130+210+290+370+450+530 = 1980
A full-length mirror cost $144.99 when the cpi was 163. what will a full-length mirror cost when the cpi is 211, to the nearest cent? a. $305.93 b. $214.59 c. $187.68 d. $88.95
The cost of a full-length mirror when the cpi is 211 is $187.68. Then the correct option is C.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
A full-length mirror cost $144.99 when the cpi was 163.
The cost of a full-length mirror when the cpi is 211, to the nearest cent will be
[tex]\dfrac{x }{211} = \dfrac{144.99}{163}\\\\x \ \ \ = \$187.68[/tex]
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Mabel's Pizza sells pizza by the slice for lunch. Today, there are 82 slices ready for lunch, including 16 slices of pepperoni pizza.
What is the probability that a randomly selected slice will be a slice of pepperoni pizza?
Write your answer as a fraction or whole number.
Answer:
19.51% or 8/41
Step-by-step explanation:
for the percentage i did :
82 divided by 100, multiplied by 16.
For the fraction:
original number(16/82) divided by 2
2. The cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour.
Which equation models the relationship between the total cost, y, and the number of hours, x,
,
that the paddleboat is rented?
(2015)
A. y=3.5x+7 B. y=7x +3.5 C. y=+3.5 D. y + 7
Answer:
The answer would be y=3.5x+7
Step-by-step explanation:
This is because there is a one-time fee of $7, meaning there is no x attached with it. 3.5 has an x with it because it is 3.5 per hour, and not just one time. Hope this helps! :)
Can you guys solve this out for me?
Answer:
9/32 units
and
3/4 units
Step-by-step explanation:
pls tell me if im wrong
5cm
6cm
8cm
What is the perimeter of the following
Answer:
19cm
Step-by-step explanation:
lets assume its a triangle
perimeter = 5cm + 6cm +8cm
A T-shirt company wants to make at least $1,000 during a weekend and they sell $10 and $20 shirts. They want to sell at least 60 shirts. What are the vertices of the feasible region? Select all that apply.
Answer:
90 if I am wrong sorry I have a hard time with math
Select the correct answer. which expression is equivalent to ^3sqrt56x^7y^5
The exponent expression ∛(56x⁷y⁵) is equivalent to the expression 2x²y∛(7xy²).
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The expression will be given as
[tex]\sqrt[3]{56x^7y^5}[/tex]
The expression can be written as
[tex]\rightarrow \sqrt[3]{2*2*2*7 \ x^3 \ x^3 \ x \ y^3 \ y^2 }\\\\\rightarrow 2*x*x*y * \sqrt[3]{7xy^2} \\\\\rightarrow 2x^2 y \sqrt[3]{7xy^2 }[/tex]
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The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
It's the y-int.
Step-by-step explanation:
I can't really see the graph well
Your business requests a 3-month loan for
$450,000. What will be the interest paid at the
end of the term if the business risk percentage is
assessed at 2.2% and LIBOR is at 2.8%?
interest paid = $ [?]
Round to the nearest hundredth.
The total interest paid for the period of three months will be $5225 on the loan amount of $450000.
What is interest?
The interest is the charges levied on the amount which we borrow from any bank for a particular period of time.
Here in the question given data is
P= $450000
R=2.2%+2.8%=5%
T=1/4 years or three months
So from the simple interest formula
[tex]\rm SI=\dfrac{P\times R\times T}{100}[/tex]
[tex]\rm SI=\dfrac{450000\times 5\times 1}{100\times 4}[/tex]
[tex]\rm SI= \$5625[/tex]
Hence the total interest paid for the period of three months will be $5225 on the loan amount of $450000.
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help me please please with all of them
Step-by-step explanation:
for question one the answer is the intial area of fire
2. is the decay factor
3. 38400
4. the initial population
10, 3, 17, 1, 8, 6, 12,
Which of the following is not a congruence transformation?
A. Rotating
B. Translating
C. Stretching
[tex]\bold{Heya!}[/tex]
Your answer to this is :
C. Stretching.→ Explanation:-
Because the other one is congruent together.
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[tex]\underline{Answer :}[/tex]
Jaceysan ~
Answer:
I believe your answer is C. Stretching.
Step-by-step explanation:
When you rotate an object your keeping its congruence the same or keeping the shape the same size, while rotating it around a point, same goes for Translating, with translating, your just moving an image from its starting point, also having it keep the same congruence, but with stretching, you are distorting the shape making it bigger/smaller than the original shape so it looses its congruence making it no longer congruent.
A square pyramid has a volume of 1024 cm3. If one edge of the square base is 16 cm, find the height.
Answer:
Step-by-step explanation:
v = 1/3* L * w * h
1024 = 1/3 * 16 * 16 * height
1024 = 85.3333333 * height
divide both sides by 85.3 to isolate height = 12 cm
check your work
1024 = 1/3 * 16 * 16 * 12
1024 = 1024
yes they equal so its correct
Josef owns four par value $1,000 bonds from dowc beverage co. each bond has a market value of 104.561 and gives 9.2% interest. josef also owns 170 shares of stock in dowc beverage co. stock in dowc beverage co. has a share price of 26.25 and pays a dividend of $2.38. if the broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, which aspect of josef’s investment in dowc beverage co. has a greater percent yield, and how much greater is it? a. the stocks have a yield 2.15 percentage points higher than that of the bonds. b. the stocks have a yield 0.27 percentage points higher than that of the bonds. c. the bonds have a yield 1.35 percentage points higher than that of the stocks. d. the bonds have a yield 2.08 percentage points higher than that of the stocks.
Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.
What is market value?Market value is the current price of a product, company, or something consorting to the stock of the market.
The investment of Josef are,
Josef owns four par value $1,000 bonds from dowc beverage co. each bond has a market value of 104.561 and gives 9.2% interest. Josef also owns 170 shares of stock in dowc beverage co. stock in dowc beverage co. has a share price of 26.25 and pays a dividend of $2.38.The broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold.
At the bond value 1.35 percentage higher than the stock gives will give him greater percent yield among all the options.
Thus, the Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.
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1 A 600g packet of chocolate coffee beans cost $ l2 much is this per 100g?
Answer:
$ 2 per 100g,
Step-by-step explanation:
100g = 1/6 of 600g so:
Cost per 100g = 12 * 1/6
= $ 2.
Answer:
$2
Step-by-step explanation:
12 divided by 6
Simplify this exponential expression:
(-49) 2/5
Answer:
I think it is 12 4/5
Step-by-step explanation:
hope this helps if not let me now
Last month Kim trained 3 times as many dogs as cats. If the total number of cats and dogs she trained last month is 28, how many cats did Kim train?
1. Draw a model 2. Write an equation and solve.
2nd Question: How many more dogs than cats did Kim train?
1. Draw a model 2. Write an equation and solve.
Answer:
1. 7
2. 14
Step-by-step explanation:
Check the attachment.
The International Club has $547. They decide to sell chocolate bars to raise more money.
They buy 140 chocolate bars for $0.59 each and then sell them for $1.50 each.
Which of the equations below models this situation and can be solved to find x, the amount of money the International Club has after they sell all of the chocolate bars?
$547 + 140($1.50 – $0.59) = x
$547 + 140($0.59) + 140($1.50) = x
$547 + 140($0.59 – $1.50) = x
140($547 – $0.59 + $1.50) = x
Answer:
A) $547 + 140($1.50 - $0.59)=x
Step-by-step explanation:
you would have $547 dollars to start them you would multiply 140 by the amount you sell the bars for subtracted by the amount you paid for them because you dont get to keep that money
On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal at y = negative 1. Everything above the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 1) and (0, 0). Everything below the line is shaded. A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario? The pool is 1 meter deep. The pool is 2 meters deep. The toy falls at a rate of at least a Negative one-half meter per second. The toy sinks at a rate of no more than a Negative one-half meter per second
y≥x-2
x+2y⊂4
hoping that your answer
Under his cell phone plan, Adrian pays a flat cost of $59.50 per month and $5 per gigabyte. He wants to keep his bill under $70 per month. Write and solve an inequality which can be used to determine x x, the number of gigabytes Adrian can use while staying within his budget.
The cell phone plan is an illustration of a linear inequality
Adrian gigabyte usage must be less than 2.1 to spend under $70.
How to determine the number of gigabytes within budget?The given parameters are:
Base cost = $59.50
Rate = $5 per gigabyte
Let the number of gigabyte be x.
So, the total amount is:
Total = 59.50 + 5x
Adrian wants to spend under $70.
So, we have:
59.50 + 5x < 70
Evaluate the like terms
5x < 10.5
Divide both sides by 5
x < 2.1
Hence, the number of gigabyte must be less than 2.1
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This dot plot shows the number of cakes sold each day in aunt Alice’s cake shop last month how could you describe the graph?
The description of the graph that can used to describe the sales of cake is skewed right.
When is a data skewed left or right?In order to determine if data is skewed to the left , the mean and the median would be compared. If the mean is less than the median, the data is skewed to the left. If the mean is greater than the median, the data is skewed to the right.
Mean = 23 / 10 = 2.3
Median = 2
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