7) Complete the blanks in this bank statement.
Date
25/03/20
28/03/20
29/03/20
Income Outgoings Balance
£453
£1200
£957
Answers
Using the arithmetic operations the balance amount for 28/03/20 and incoming amount for 29/03/20 is obtained as £ 747 and £ 210 respectively.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
The statement of bank account is given.
On 25/03/20 the balance amount left in bank was £ 1200.
On 28/03/20 the outgoing amount from the bank was £ 453.
To find the balance amount for 28/03/20, use the arithmetic operation of subtraction -
Balance amount = Previous Balance - Outgoing Amount
Substitute the values in the equation -
Balance amount = 1200 - 453
Balance amount = 747
Therefore, the balance amount for 28/03/20 was £ 747.
Now, On 29/03/20 the balance amount left in bank was £ 957.
To find the incoming amount for 29/03/20, use the arithmetic operation of subtraction -
Incoming Amount = New Balance - Previous Balance
Incoming Amount = 957 - 747
Incoming Amount = 210
Therefore, the incoming amount for 29/03/20 was £ 210.
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Related Questions
Marlene works as a cashier at a grocery store. At the end of the day, she has a total of 125 five-dollar bills and ten-dollar bills. The total value of these bills is $990
Answers
A) The system of equations that you can use to find the number of five-dollar bills and ten-dollar bills are;
x + y = 125
5x + 10y = 990
B) The number of five-dollar bills are 52 and ten-dollar bills are 73.
How to solve simultaneous linear equations?The parameters are that the total number of five and ten-dollar bills equals 125 dollars.
Let x denote the number of five dollar bills and let y denote the number of ten dollars bills. Thus;
Total number of bills is;
x + y = 125 --- (1)
The total value of all bills is $990
Thus, we have;
5x + 10y = 990
Divided by 5 into both sides to get;
x + 2y = 198 ----- (2)
Now solve (1) and (2) for x and y values
Subtract eq (1) from eq (2) to get;
x + 2y - x - y = 198 - 125
y = 73
Substitute y = 73 in (1)
x + 73 = 125
x = 52
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creating a historgram algebra
Answers
The way that algebra can help in the creation of a histogram is that it helps organize and analyze the data in the histogram.
How does algebra help with histograms ?Algebra can be used to determine the range of values in the data set, and to create bins or intervals for the histogram. Algebra can be used to calculate the frequency of data points in each bin. This is important for creating the histogram, as it will determine the height of each bar.
Algebra can also be used to calculate the mean, median, mode, and standard deviation of the data set, which can provide a summary of the distribution of the data.
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Full question is:
Creating a historgram algebra. How does algebra help in creating a histogram ?
two hot air balloons, one purple and one gold, took off at the same time. the purple balloon started from sea level and the gold balloon started from a hill 15 1515 meters above sea level. the gold balloon began climbing at a constant rate of 2 22 meters per second. the purple balloon began climbing at 2.5 2.52, point, 5 meters per second. after how many seconds were the balloons at the same altitude?
Answers
The balloons were never at the same altitude because the gold balloon was already 1515 meters above the purple balloon at the start.
Let t be the number of seconds since the balloons took off, and Hp(t) and Hg(t) be the altitude of the purple and gold balloons respectively at time t.
We know that:
Hp(t) = 0 + 2.5t (the purple balloon starts at sea level and climbs at a rate of 2.5 m/s)
Hg(t) = 1515 + 222t (the gold balloon starts 1515 m above sea level and climbs at a rate of 2*22 m/s)
We want to find the time t when the balloons are at the same altitude, so we can set Hp(t) = Hg(t) and solve for t:
0 + 2.5t = 1515 + 222t
2.5t = 1515 + 222t
2.5t - 222t = 1515
0.5t = 1515 - 1515
t = 0
So the balloons were never at the same altitude because the gold balloon was already 1515 meters above the purple balloon at the start.
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Select the correct answer from the drop-down menu. Find the missing term. 7-147 × 798 = 718 × 7-38 ×
Answers
Using exponents rule the missing term in the equation 7^(-147) × 7^(98) = 7^(18) × 7^(-38) ×____ is found to be 7^(-29).
What is an exponent?
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
The given expression is - 7^(-147) × 7^(98) = 7^(18) × 7^(-38) ×____
Let the missing term be x.
Then the equation is -
7^(-147) × 7^(98) = 7^(18) × 7^(-38) × x
Since, the base of the exponents is same, so apply the operations on the powers of the base.
The exponent rule is - a^(b) × a^(c) = a^(b + c)
Write the equation according to the rule -
7^(-147 + 98) = 7^(18 - 38) × x
Now perform the arithmetic operation of addition and subtraction -
7^(-147 + 98) = 7^(18 - 38) × x
7^(-49) = 7^(-20) × x
The exponent rule is - a^(b) / a^(c) = a^(b - c)
Write the equation according to the rule -
x = [7^(-49)] / [7^(-20)]
x = 7^[-49 - (-20)]
x = 7^(-49 + 20)
x = 7^(-29)
Therefore, the missing term is x = 7^(-29).
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Select the correct answer from the drop-down menu. Find the missing term. 7^(-147) × 7^(98) = 7^(18) × 7^(-38) ×____
NGC 5866
is about 44 million light years, or 13.5 megaparsecs, from
the Milky Way. How fast is NGC 5866 receding?
Answers
It has a diameter of about 60,000 light-years (18,400 parsecs).
Size of NGC 5866?A distance of 44 million light-years separates NGC 5866 from Earth in the Northern constellation Draco (13.5 Megaparsecs). Even though it has a diameter only around two-thirds that of the Milky Way and a mass similar to our galaxy, it has a diameter of about 60,000 light-years (18,400 parsecs).NGC 5866, a lenticular galaxy, contains many intricate dust lanes that appear black and red, but its disk is largely composed of brilliant stars, giving it a more subtly blue undertone.Numerous globular clusters—gravitational groups of nearly a million stars—that are gravitationally bound are scattered throughout the outer halo. Through the halo, it is also possible to detect background galaxies that are millions to billions of light-years away from NGC 5866.To learn more about diameter refer to:
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Please help me with this geometry question
Answers
a. The length of x is 4 cm.
b. The area of the shaded face in the triangle prism is 36 cm².
How to Calculate the Area of a Face of a Triangular Prism?The net of the triangular prism shows that the shaded face is a rectangle.
The side labelled x is the same as the side of the triangular face with a side of 4 cm, when the net of the triangular prism is folded.
Therefore:
a. Length of x = 4 cm
b. Area of shaded face = area of rectangle = length × width
= 9 × 4
= 36 cm²
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3x - 9x^2 factorised
Answers
Have a great day :)
Answer:
3x (1 - 3)
Explanation in detail:
= 3x - 9x²
= 3x (1 - 3x) (1 - 3x)
C The triangles in this picture are similar. Find the height of the tree.
Answers
Answer:
30 ft
Step-by-step explanation:
h/(40 + 8) = 5/8
h = 30
Need ASAP pls
Solve
x-y=2
y=2x-4
Answers
to find the x-intercept/zero. substitute y=0
x-0=2
x=2
y=2x-4
move the variable to the left handed side.
-2x=-4-y
divide both sides by -2
x=2+1/2y
use commutative property to reorder the terms.
x=1/2y+2
How do I solve for x for similarities in triangles
Answers
Answer: you can solve for x using the Pythagorean theorem:
Step-by-step explanation. let's say your questing in sides are 12 and 40 what is x. you have side x, y, and h. y=12 h=40. now you solve using the Pythagorean theorem x2 + y2 = h2. (The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle. The a and b are the 2 "non-hypotenuse" sides of the triangle (Opposite and Adjacent).)
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the face value of a 10-year term insurance policy on a 25-year-old female given that the annual premium for the insurance policy is $384. 59. If need be, round your answer to the nearest cent.
a. 80,290. 19
b. 86,038. 03
c. 85,274. 94
d. 79,296. 69
Answers
The correct option is Option C - 85.274.94.
The face value of the 10-year term insurance policy on a 25-year-old Female given that the annual premium for the insurance policy of $384.59 is 85,274. 94.
Given:
Annual premium for the insurance policy = $384. 59
According to the chart at the conclusion of the answer, the amount paid per $1,000 of coverage for a female 25 year old for a 10 year policy is 4.51.
Face value = (1,000 x Annual premium) / Amount paid for 25 year old female for 10 year policy)
Face value = (1000 x 384.59) /4.51
Face Value = 384590 / 4.51
Face Value = 85274.94
Therefore the face value is 85274.94.
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The table is given by the image shown at the end of the answer.
question 6
Match each number that is in scientific notation to its calculator shorthand representation
Answers
The calculator short hand notations are;
a) -4E3
b) -3E4
c) 3E4
d) 4E3
What is the calculator short hand notation?We have to note that the calculator short hand notation has to do with the manner in which the calculator would show an exponential function when we are solving the mathematical problem using the calculator.
It is common to see that the calculator would display the letter E to stand in for the mathematical figure * 10^n. The letter that is depicted by n would then be written at the right hand side of the letter E.
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when finding the reflection of a fraction do you convert it to a decimal or just reflect the fraction
Answers
A fraction can be converted to a decimal number by dividing the numerator—the piece at the top of the fraction—by the denominator, which can be done with a calculator. A decimal number that represents the value of the fraction is the answer.
What exactly is reflection fraction?The geometry and location of the primary source of radiation directly affect the ratio of flux between direct and reflected radiation, known as the "reflection fraction."
What does "reflection" in math mean?Flip is the mathematical term for reflection. An image of the shape reflected in a mirror. A line, called the line of reflection, is where an image will reflect. When one figure "reflect[s]" another, that phrase is used.
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2. Write these measures in ascending order
(1 Point)
0. 845kg 80g 12254 1. 2kg
Answers
The ascending order of the given data is-
80g < 12254g < 0. 845kg < 1. 2kg.
From smallest value to largest value, numbers are arranged in ascending order. From left to right, comes the order. Additionally known as increasing order, ascending order is a common terminology. Taking a set of natural numbers as an example, they are arranged in ascending order as follows: 1, 2, 3, 4, 5, 6, 7, 8, and so on. To indicate the increasing order, use the symbol less than (). Decreasing order of values is used to arrange the numbers in descending order, which is the opposite of increasing order. Ascending numbers from -6 to 6 are listed in the number lines above. According to this statement, numbers on the left side of a number are smaller than those on the right side of a number.To know more about ascending order here
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Find the length of GH.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
G(-9, -4)
OA. About 3 units
OB. 53 units
O C. 9 units
12345678910
D. About 7.3 units
-2
-3
-4
-5
H(-2,-6) 7
-6
-8
-9
Answers
The length of GH is about 7.3 units. The solution has been obtained by using the formula of distance between two points.
What is distance between two points?
The distance between two points in a plane is the length of the line segment separating the two points. Typically, the equation
[tex]d=\sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex] is used to calculate the distance between two points. One can use this formula to get the separation between any two points on an x-y plane or coordinate plane.
We are given two points as G(-9,-4) and H(-2,-6)
Using the distance formula,
[tex]d=\sqrt{(x_{2} -x_{1})^{2} + (y_{2} -y_{1})^{2} }[/tex]
[tex]d=\sqrt{(-2 +9)^{2} + (-6 +4)^{2} }[/tex]
[tex]d=\sqrt{(7)^{2} + (-2)^{2} }[/tex]
[tex]d=\sqrt{49 + 4 }[/tex]
[tex]d=\sqrt{53 }[/tex]
d = 7.3 units
Hence, the length of GH is about 7.3 units.
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Ë Solve & Share
|) Rose bought a length of copper pipe. She used
1
1
2
yard to repair a water line in her house. How much
pipe does she have left? Solve this problem any way
you choose.
7/8 yard
Answers
She left the 1/6 yards pipes.
Now, According to the question:
Rose bought a length of 4/6 copper pipe.
She used 1/2 yard to repair a water line in her house.
To find how much pipe does she have left?
Pipes available = 4/6 yards
Pipes used = 1/2 yards
Pipes left = total pipes bought - she doesn't suit that way
Pipes left = Total pipes available - pipes used
= 4/6 yards - 1/2 Yards
= 4-3/6
= 1/6 yards
Pipes left = 1/6 yards
Hence, She left the 1/6 yards pipes.
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The given question is incomplete, complete question is:
Rose bought a length of 4/6 copper pipe. She used 1/2 yard to repair a water line in her house. How much pipe does she have left? Solve this problem any way.
a) A rhombus of side 5cm has acute angles of
840 Find the
the length
Of the diagonals of the rhombus
Answers
The length of the diagonals of the rhombus is 3.5cm.
A rhombus's diagonals are always perpendicular to one another and always the same length. It contains four right angles, hence an acute angle of 840 is an obtuse angle. We are aware that in a rhombus, the diagonal is the hypotenuse of a right triangle, and the other two sides make up each half of the side.
Consequently, we can use the Pythagorean theorem to determine the diagonal's length:
c = √(a² + b²)
where an is the rhombus's half-length side and b is the other half, and c is the length of the diagonal. So we have:
a = (5cm) / 2 = 2.5cm
b = (5cm) / 2 = 2.5cm
c = √(2.5² + 2.5²) = √(6.25 + 6.25) = √12.5 = 3.5cm
Therefore, the length of the diagonals of the rhombus is 3.5cm.
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Elizabeth rode her bike 6 1/2 miles from her house to the library And then another 2 2/5 miles to his friend Milo's house, how far would she travel from her house to Carsons house?
Answers
Elizabeth would travel a distance of [tex]11\frac{2}{5}[/tex] miles.
The distance between Elizabeth's house and Carson's house = Sum of (the distance between Elizabeth's house and the Library + the distance between the library and Millo's house + the distance between Millo's House and Carson's House). That is:
Total Miles = [tex]6\frac{1}{2}[/tex] + [tex]2\frac{2}{5}[/tex] + [tex]2\frac{1}{2}[/tex]
To calculate the total miles, we need to transform the mixed numbers into fractions. We can do that as:
[tex]6\frac{1}{2}[/tex] = [(6 × 2) + (1)]/2 = 13/2
[tex]2\frac{2}{5}[/tex] = [(2 × 5) + (2)]/5 = 12/5
[tex]2\frac{1}{2}[/tex] = [(2 × 2) + (1)]/2 = 5/2
So, the distance from Elizabeth's house to Carson's House has 57/5 miles, and it is calculated as:
13/2 + 12/5 + 5/2 = 57/5
Then, convert 57/5 into a mixed number, and we get:
57/5 = [tex]11\frac{2}{5}[/tex]
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Find the greatest common factor 12 of and 48.
Answers
Answer: I believe the answer is 12
Simplify rational expressi
Simplify the following rational expression.
11k
55k^2+ 22k
Answers
The simplify of given equation 11k/ (55k^2+ 22k) is 1/(5k+2).
Given,
[tex]\frac{11x}{55^{2}+22k }[/tex] We have to simplify in rational expression
The common factor is 11. So, we have to pick the common factor from the equation.
= [tex]\frac{11x}{55^{2}+22k }[/tex]
= [tex]\frac{1}{5x + 2}[/tex]
Therefore the simplification of given equation is 1/(5k+2).
Reasonable expressions resemble fractions with variable denominators (and often numerators too). An example of a rational expression is x 2 x + 3 dfracx2x+3 x+3x2 start fraction, x, squared, divided by, x, plus, 3, end fraction.
Removing parenthesis and brackets requires factor multiplication.If the words have exponents, use the exponent rule to eliminate grouping.By adding or subtracting coefficients, combine similar phrases.Add the constants together.For such more question on simplify:
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The circle graph below represents the number of students at a middle school who buy lunch. If 624 students go to the school, about how many students do not buy lunch? Students who do not buy lunch Students who buy lunch 255⁰
Answers
The federal government of the United States spent over 28.7 billion dollars on the national school lunch program for the fiscal year of 2022.
Approximately what percentage of pupils skip lunch at school?In comparison to only 4% of children aged 6 to 13 years old, nearly one in ten adolescents (aged 14 to 17) admitted to skipping lunch.The federal government of the United States spent over 28.7 billion dollars on the national school lunch program for the fiscal year of 2022. Comparatively, the cost of the national school lunch program in the prior year was about 7.9 billion dollars.The federal government of the United States spent over 28.7 billion dollars on the national school lunch program for the fiscal year of 2022.Comparatively, the cost of the national school lunch program in the prior year was about 7.9 billion dollars.To learn more about percentage refer to:
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The number of students who do not buy lunch is 624 students - 420 students = 204 students.
Approximately how many pupils skip lunch at school?The circle graph represents the proportion of students who buy lunch and those who don't. To find the number of students who don't buy lunch, we need to subtract the number of students who buy lunch from the total number of students.
Since 255° represents the proportion of students who buy lunch, we can use this to find the number of students who buy lunch. To do this, we divide the number of degrees by 360° and multiply by the total number of students, 624:
(255° / 360°) x 624 students = 420 students
Therefore, the number of students who do not buy lunch is 624 students - 420 students = 204 students.
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Show that the following recurring decimal are rational. (1) 0,4 (2) 0,21 (5) 0,124 (6) 0,124 (3) 0,14 (7) -1,124 (4) (8) 19,45 -2,35
Answers
The given recurring decimals are rational numbers as they can all be written as fractions with a denominator that is not zero.
(1) 0.4 is a rational number because it can be written as 4/10 which is a fraction with a denominator that is not zero.
(2) 0.21 is a rational number because it can be written as 21/100 which is a fraction with a denominator that is not zero.
(3) 0.14 is a rational number because it can be written as 14/100 which is a fraction with a denominator that is not zero.
(4) 0.124 is a rational number because it can be written as 124/1000 which is a fraction with a denominator that is not zero.
(5) -1.124 is a rational number because it can be written as -1124/1000 which is a fraction with a denominator that is not zero.
(6) 19.45 is a rational number because it can be written as 1945/100 which is a fraction with a denominator that is not zero.
(7) -2.35 is a rational number because it can be written as -235/100 which is a fraction with a denominator that is not zero.
In conclusion, all the given recurring decimals are rational numbers as they can all be written as fractions with a denominator that is not zero.
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What happens when X is replaced with (x-3)
Answers
In a scenario when X is replaced with (x-3) then it means that the value of x will be reduced by 3 units.
What is Substitution?This is referred to as the process which involves the replacement of a word , number or phrase with another when performing different types of operations.
During an arithmetic operation and X is replaced with (x-3), then it means that the value of X will be reduced by 3 units and an example is given below:
Let's assume X is 5 and we substitute it with (x-3) will therefore become (5-3) = 2. This depicts that there has been a reduction by 3 units thereby making it the correct choice.
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Emily filled up her car with gas before embarking on a road trip across the country.
Let G represent the number of gallons of gas remaining in her gas tank after driving
for thours. The table below has select values showing the linear relationship between
t and G. Determine the number of hours driven until the tank is empty.
Answers
Answer:
7 hours
Step-by-step explanation:
So you know in the second to third row of boxes how a hour and a half later the car loses 3 gallons of gas let's says another hour and a half goes by and the car has 1 gallon of gas left so each 30 minutes the car lost gas so now that we have that 1 gallon of gas left 30 minutes went by and now we are out gas
solve for x 4x+23=x+2
Answers
Answer: x = -7
Step-by-step explanation: Subtract 23 from both sides. 4x + 23 - 23 = x + 2 - 23, than simplify and subtract x from both sides
Determine the value of x in the figure.
Answers
The value of x in the figure is 20
What is the ratio?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Given;
Ratio of first line segment = 4.4/6.3
Ratio of other line segment= 14.08/x
Now, to find the value of x
4.4/6.3 = 14.08/x
4.4x= 14.08x6.3
x=14.08x6.3/4.4
x=20.16
Therefore, according to ratio x will be equal to 20
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A square-shaped painting has a length and a width of 1 foot. A line painted
diagonally on the painting has a length of V2 feet. About how long is the length of
the diagonal line, to the nearest tenth of a foot?
Answers
The diagonal V2 of the square will be √2 feet.
What are squares?
A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.
The most important properties of a square are listed below:
All four interior angles are equal to 90°.All four sides of the square are congruent or equal to each other.The opposite sides of the square are parallel to each other.The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other.The square has 4 vertices and 4 sides.The diagonal of the square divides into two similar isosceles triangles.The length of diagonals is greater than the sides of the square.Area of square=(side)²
Perimeter of square=4*side
Now,
as side=1 foot
By applying Pythagorean theorem,
Diagonal²=side²+side²
therefore,
V2²=1²+1²
=2
V2= √2 feet
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A train left Vicky's town and traveled for 4 hours and 50 minutes to Wildgrove. Then it traveled 2 hours and arrived in Westminster at 12:28 P.M. What time did the train leave Vicky's town?
Answers
Answer:
5:38 am
Step-by-step explanation:
Since the train arrived at it's final destination at 12:28 pm and it took two hours to get there. Subtract two hours from the final destination time and it's 10:28 am. Then it took 4 hours and 50 minutes to arrive to Wildgrove, so subtract four hours of the time when the train arrived. It is now 6:28 am. Subtract fifty minutes from that and you would get 5:38 am.
p.s. There are time calculators online if you need an answer if this is kinda hard to understand
A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, and y is the temperature, in degrees Fahrenheit, of the sauna.
Which interpretation describes a line of best fit of y = –1.5x + 173 for the data?
Answers
The member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
What is Equation of a straight line ?
The equation of a straight line as follows : y = mx+c where m is slope of a straight line and c is y-intercept.
Given that the equation of the line of best fit is given by
Let x represents the amount of time in minutes.
Let y represents the temperature in degrees Fahrenheit.
From the equation of line of best fit, it is obvious that the temperature that a person can tolerate is 173 degrees Fahrenheit at 0 minutes.
Because the y - intercept represents the temperature when the x - value is zero.
So, the member can tolerate a temperature of 173° Fahrenheit for 0 minutes.
Therefore, The member can tolerate a temperature of 173° Fahrenheit for 0 minutes
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Segment AB is tangent to ⊙T at B. What is the radius of ⊙T? Triangle ABT where T forms the centre of a circle. B is a point on the circumference of the circle. The side AT intersects the circumference at the point C. AC equals 25 and Ab equals 45.
Answers
Answer:
28
Step-by-step explanation:
AB and TB are perpendicular because the tangent and radius are perpendicular. So you have a right triangle. Triangle ABT is a right triangle.
Also, TB is a radius of the circle, but so is TC. They are the same length.
Use Pythagorean Theorem to solve this problem.
AB^2 + TB^2 = AT^2
see image.