Answer: 10
Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10
The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?
Answer:
a. What angle of rotation maps Ponto P?
30.25 degrees
b. What are the x and y coordinates of P to the nearest thousandth?
(83.3, 33.3)
c. What translation rule maps P onto P?
Rotation
20 times the difference of a number, z, and 7
Answer:
20(z-7)
Step-by-step explanation:
Which variable expression represents the following word phrases?
6 more than four times a number
A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n
Answer:
6+4n
Step-by-step explanation:
3 kg of carrots cost £1.80
2 kg of carrots and 5 kg of potatoes cost a total of £3.45
Work out the total cost of 4kg of carrots and 2 kg of potatoes.
You must show all your working.
Step-by-step explanation:
Price of 3 kg carrots = 1.80
Price of 1 kg carrots = 1.80 ÷ 3 = 0.6
Price of 2 kg carrots = 0.6 x 2 = 1.2
Remaining amount = 3.45 - 1.2 = 2.25
Price of 5 kg potatoes = 2.25
Price of 1kg potatoes = 2.25 ÷ 5 = 0.45
Now
Cost of 4 kg of carrots = 0.6 x 4 = €2.4
Cost of 2 kg of potatoes = 0.45 x 2 = €0.9
The total cost of 4kg of carrots and 2 kg of potatoes is £3.30
What is the total cost?Total cost is the product of the cost of each unit and the number of units purchased.
As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,
[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]
[tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]
Thus, the cost of 1 kg carrot is £0.60.
Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,
[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]
[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]
Further, the cost of each kg of potatoes can be written as,
[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]
[tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]
Thus, the cost of each kg of potatoes is £0.45.
Further, the total cost of 4kg of carrots and 2 kg of potatoes can be written as,
[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]
Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30
Learn more about Total Cost:
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help me with this!!!
Find the 60th term of the following sequence.
4, 8, 12,
Answer:
240
Step-by-step explanation:
which expression is equivalent to 4√8/3√2
Answer:
8/3
Step-by-step explanation:
The square root of 8 can actually be written [tex]2\sqrt2[/tex], so [tex]4\sqrt2 = 4 \cdot 2\sqrt2 = 8\sqrt2[/tex]
Now, we are looking for [tex]\frac{8\sqrt2}{3\sqrt2}[/tex]. Both the square root of 2s cancel, so we are left with 8/3
6.4 divided by 43.52
Answer:
0.14705882352
Step-by-Step:
Just use a calculator and your answer should pop up.
Rosena bought an 8 pack of donuts. The donuts cost $28.00 all together. What is the unit rate for the donuts in dollars?
Answer:
$3.50
Step-by-step explanation:
I hope this helps!
Answer:
$3.50 per Donut
Step-by-step explanation:
Well if the total cost is $28.00 and there were eight donuts, then out equation would be 8 x ____=28
So, 28/8=3.5
3. Gracie graphed the line 3x – 4y = -16. Which
ordered pair is in the solution set of 3x – 4y = -16?
19
A.(-2,3)
C. (2,7)
B.(-8,0)
D. (0,-1)
We want to see which ordered pair is a solution for the given line. We will see that none of the points is a solution for the given equation.
So, if you have a graph this is rater easy.
In a point (x, y) the first value represents the horizontal displacement and the second represents the vertical displacement.
So, to see if the points are solutions of the line, you just need to see if the point lies on the graphed line.
Below you can see the graph, there you also can see all the given points.
There you can see that none of the given points lie on the line, so none of these is in the solution set of the line (you can also check this by evaluating the equation in the given points).
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The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the tolerated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?
According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:
[tex]|w - 10| \leq 2[/tex]
The absolute value function measures the distance of a point to the origin, and is defined by:
[tex]|x| = x, x \geq 0[/tex][tex]|x| = -x, x < 0[/tex]The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:
[tex]|w - 10| \leq 2[/tex]
To learn more about absolute value inequalities, you can take a look at https://brainly.com/question/24005819
To become a member of the book-of-the-month club there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.
Answer:
y = 2x + 40
Step-by-step explanation:
slope-intercept formula: y = mx + b
x = number of months
y = total cost
slope is 2 and y-intercept is 40
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by the function y=130x+119. Which statement represents the meaning of each part of the function?
Answer:
130=monthly charge
119=one time installation fee
Step-by-step explanation:
119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
The correct option for the selling price is B. p 1,070.00Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]
Therefore, we have;
[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]
[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is B. p 1,070.00
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Consider the graph.
Which function best represents the distance remaining, in miles, after
x
minutes?
f
(
x
)
=
10
7
x
+
35
f ( x ) = 10 7 x + 35
f
(
x
)
=
7
10
x
+
35
f ( x ) = 7 10 x + 35
f
(
x
)
=
−
7
10
x
+
35
f ( x ) = − − 7 10 x + 35
f
(
x
)
=
−
10
7
x
+
35
f ( x ) = − − 10 7 x + 35
Answer:
X=5
The factors of x^2 + 2x - 35 are
(X-5) (x+7)
Set x equal to zero & solve
X-5=0
X=5
Step-by-step explanation:
I NEED ANSWER NOW PLEASE ITS DUE IN 3 MINS
Answer:
C
Step-by-step explanation:
add top half of fractions and only if there are common denominators
Answer:
C) 1/7+1/7+1/7
Step-by-step explanation:
Make sure the denominator matches that of the answer, so since 3/7, 7 is the denominator, only b and c have 7 as a denominator. Second, all the denominators have to be equal in order for you to add the numerators. Since all denominators in C are 7, you can do 1+1+1 which equals to 3.
Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate is 8%, compounded semiannually. (Round your answer to the nearest cent.)
Answer: Im not sure but i think its 120,960
Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
Learn more about similar triangles on:
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Can someone please solve these 3 I DIDNT solve
Answer:
7: (3,9) 8:(-2,1) 6: (2,10)
Step-by-step explanation:
7) 2x+3=-2x+15
x=3
y=2(3)+3
y=6+3
y=9
8)x= -1(1+2y)/3
-4-2y=-6
y=1
x=-2(1+2(1))/3
x=-2
6)2x-16=-12
x=2
y=2+8
y=10
Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes
Functions can be represented on graphs and vice versa.
It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes
The function of the graph is given as:
[tex]y = -0.5x[/tex]
To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.
[tex]y = -0.5\times 4[/tex]
[tex]y = -2[/tex]
The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.
Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]
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Convert 30,000 ML into L
Answer:
30 liters
Step-by-step explanation:
To me it's kind of like multiplying and dividing.
So, what I did was 30,000 divided by 30 and got 1,000.
1,000 x 30 = 30,000.
That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)
How many petrol tanks of capacity 1.2 * 10 ^ 4 litres each are required to empty 4.8 * 10 ^ 5 litres of petrol?
Answer:
40
Step-by-step explanation:
The number of tanks required is ...
(4.8·10^5 L)/(1.2·10^4 L/tank) = (4.8/1.2)·10^(5-4) tanks
= 4·10 tanks = 40 tanks
Question is in picture please help will mark brainliest
Answer:
4+2(n-1)+5(n-1)
Step-by-step explanation:
We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).
That will result in
4+2(n-1)+5(n-1)
Please give brainliest! Thank you!
Which integer in the set has the smallest value (-17, -7, -12, 2)? A. 2 B. -7 C. -12 D. -17
The smallest integer from the given set {-17, -7, -12, 2} is -17, making option D the right choice.
An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The integer values are in the following order: negative, zero, then positive.
The real value of a negative integer decrease as the number increases.
For positive integers, the real value increases as the number increases.
In the question, we have been asked for the integer with the smallest value in the set {-17, -7, -12, 2}.
As discussed above, we know the order for negative and positive integers.
Thus, arranging the set in ascending order, we get:
-17 < -12 < -7 < 2.
Thus, the smallest integer from the given set {-17, -7, -12, 2} is -17. Hence, option D is the right choice.
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Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answer: Adelita
Step-by-step explanation:
because if its going in order of the names by jobs then its adelita
HELP!!!
7 + y = ‐2
Please solve this WITH your math please don't just post the answer! Whoever does this first will get brainliest!
Answer:
y=-9
Step-by-step explanation:
7+y=-2
subtract 7 on both sides
Answer:
y= -9
Step-by-step explanation:
This is a one-variable equation.
7+y= -2
We can subtract 7 from both sides to isolate y
7 + y - 7= -2 - 7
After simplifying, we get
y= -9
Which of the following best explains why tangent StartFraction 5 pi Over 6 EndFraction not-equals tangent StartFraction 5 pi Over 3 EndFraction? The angles do not have the same reference angle. Tangent is positive in the second quadrant and negative in the fourth quadrant. Tangent is negative in the second quadrant and positive in the fourth quadrant. The angles do not have the same reference angle or the same sign.
Using reference angles, it is found that the correct option is:
The angles do not have the same reference angle.Angle [tex]\frac{5\pi}{6}[/tex] is on the second quadrant, [tex]\frac{\pi}{2} < \frac{5\pi}{6} < \pi[/tex].
On the second quadrant, the tangent is negative, as the sine is positive and the cosine is negative.The reference angle is found subtracting [tex]\pi[/tex] from the angle, hence:[tex]\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}[/tex]
Angle [tex]\frac{5\pi}{3}[/tex] is on the fourth quadrant, [tex]\frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi[/tex].
On the second quadrant, the tangent is negative, as the sine is negative and the cosine is positive.The reference angle is found subtracting [tex]2\pi[/tex] from the angle, hence:[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
They have different reference angles, hence:
The angles do not have the same reference angle.For more on angles, you can check https://brainly.com/question/24787111
Answer:
A
Step-by-step explanation:
A
Plz help me thx
Simplify:
Answer:
4
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x , then
[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]
= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms
= 4
A student says that the solution of 375 = x – 28 is 347. Explain the student’s error and find the correct answer
Answer:
x = 403
Step-by-step explanation:
We can start off by rewriting the equation as
x - 28 = 375
Next, we can further restate it as
375 + 28 = x
So, all we need to do to find the value of x is add 375 + 28, which is 403
Student Error
The student made the error of rewriting the equation incorrectly.
He/She/They subtracted 28 from 375 instead of adding.
Thus, they got 347
