Answers
Answer:
since p is irrational it is not expressible as a ratio of two integers and has an infinite and nonrecurring expansion when expressed as a decimal
Step-by-step explanation:
so a
Related Questions
what is the probability of obtaining a z value less than 1.5?
Answers
The probability of obtaining a z-value less than 1.5 is 0.8531 or 85.31% using normal distribution table.
The probability of obtaining a z-value less than 1.5 can be calculated using the standard normal distribution table or by using software like Excel or statistical calculators.
The standard normal distribution is a probability distribution with a mean of zero and a standard deviation of one. It is denoted by the letter Z and is used to standardize normal random variables. The standard normal distribution table provides the probabilities for different values of Z, ranging from -3.4 to 3.4.
To find the probability of obtaining a z-value less than 1.5, we need to look up the value of 1.5 in the standard normal distribution table. The table provides the area under the standard normal curve to the left of a given Z-value.
Looking at the table, we find that the probability of obtaining a z-value less than 1.5 is 0.8531, which means that approximately 85.31% of the area under the standard normal curve is to the left of 1.5.
This means that if we have a normally distributed variable with a mean of zero and a standard deviation of one, there is a 85.31% chance that the z-value will be less than 1.5.
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justin goes to a store to buy jeans and t shirts the jeans cost $40 each and the t shirts cost $20 each if justin spends $100 on 4 items how many pairs of jeans and how many t shirts did he buy
Answers
The required number Justin could have bought 1 pair of jeans and 3 t-shirts.
What is equation of two variable?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.
According to question:Let's assume Justin bought x pairs of jeans and y t-shirts.
We know that the cost of each pair of jeans is $40 and the cost of each t-shirt is $20.
So, the total cost of Justin's purchase can be represented as:
Total cost = 40x + 20y
We also know that Justin bought a total of 4 items. So:
x + y = 4
Now we can use these two equations to solve for x and y:
40x + 20y = 100 (divide both sides by 20)
2x + y = 5 (subtract x from both sides)
Now we have two equations with two variables. We can solve for y in the second equation:
y = 5 - 2x
And substitute this into the first equation:
40x + 20(5-2x) = 100
Simplifying, we get:
40x + 100 - 40x = 100
100 = 100
This equation is true for any value of x and y that satisfy the condition x + y = 4.
So, Justin could have bought 1 pair of jeans and 3 t-shirts.
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2.In a pond, the area that is covered by algae doubles each week. When the algae was
first spotted, the area it covered was about 12.5 square meters.
a. Find the area, in square meters, covered by algae 10 days after it was spotted.
Starting amount
Show your reasoning.
b. Explain why we can find the area covered by algae 1 day after it was spotted by
multiplying 12.5 by V2.
Answers
Answer:
Step-by-step explanation:
a) The area covered by algae 10 days after it was first spotted is approximately 32.64 square meters.
b) We can find the area covered by algae one day after it was first spotted by multiplying [tex]12.5^{1/7}[/tex] by 2.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
a.
To find the area covered by algae 10 days after it was first spotted, we need to convert 10 days into weeks, since the growth rate is given in terms of weekly doubling.
There are 7 days in a week,
So 10 days are approximately 1.43 weeks (10/7).
Let A be the area covered by algae in square meters after n weeks.
Then we can use the formula for exponential growth:
A = 12.5 x [tex]2^n[/tex]
Substituting n = 1.43, we get:
A = 12.5 x [tex]26^{1.43}[/tex]
A ≈ 32.64
Therefore,
The area covered by algae 10 days after it was first spotted is approximately 32.64 square meters.
b.
We know that the area covered by algae doubles each week.
One week is equivalent to 7 days, so after one week, the area covered by algae will be twice the initial area of 12.5 square meters, or 25 square meters.
We can represent this mathematically as:
A = 12.5 x [tex]2^1[/tex]
Now, let's consider what happens after two weeks, or 14 days.
The area covered by algae will double again, so it will be four times the initial area of 12.5 square meters or 50 square meters.
We can represent this mathematically as:
A = 12.5 x 2²
Using the same reasoning, we can find that after three weeks (21 days), the area covered by algae will be eight times the initial area or 100 square meters:
A = 12.5 * 2³
In general, we can see that after n weeks, the area covered by algae will be 2^n times the initial area of 12.5 square meters. This can be written as:
A = 12.5 x [tex]2^n[/tex]
If we want to find the area covered by algae after one day, we can use the fact that one day is equivalent to 1/7 of a week.
So, after one day, the area covered by algae will be:
A = 12.5 x [tex]2^{1/7}[/tex]
Simplifying this expression using the laws of exponents, we get:
A = [tex]12.5^{1/7}\times2[/tex]
Therefore,
We can find the area covered by algae one day after it was first spotted by multiplying [tex]12.5^{1/7}[/tex] by 2.
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If y varies inversely as x, and y = 3 when
x = 8, find y when x = 6.
Answers
Answer:
Step-by-step explanation:
Y is 2 when X is 6
x^2 + 12x + 32 and g(x) = x + 4, find (f/g)(x) and express the result as a polynomial in simplest form.
Answers
The result is (x + 8).
What is a polynomial?Polynomial is an equation written with terms of the form kx^n.
where k and n are positive integers.
There are quadratic polynomials and cubic polynomials.
Example:
2x³ + 4x² + 4x + 9 is a cubic polynomial.
4x² + 7x + 8 is a quadratic polynomial.
We have,
x² + 12x + 32 and g(x) = x + 4.
Now,
(f/g)(x)
= (x² + 12x + 32) / (x + 4) _____(1)
Now,
We can factorize x² + 12x + 32.
x² + 12x + 32
= x² + (8 + 4)x + 32
= x² + 8x + 4x + 32
= x(x + 8) + 4(x + 8)
= (x + 4) (x + 8) ______(2)
From (1) and (2),
(f/g)(x)
= (x² + 12x + 32) / (x + 4)
= (x + 4) (x + 8) / (x + 4)
= x + 8
Thus,
The result is (x + 8).
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Prove by contradiction in a right triangle with integer sides, the two shorter sides cannot both be odd
Answers
Prove by contradiction that in a right triangle with integer sides, the two shorter sides cannot both be odd.
Assume that the two shorter sides, a and b, of a right triangle are both odd integers. Then the hypotenuse, c, must also be an integer. From the Pythagorean theorem, we know that c2 = a2 + b2. We can rewrite this as c2 = (2m + 1)2 + (2n + 1)2, where m and n are integers. We can expand the left-hand side of the equation to get c2 = 4m2 + 4n2 + 4m + 4n + 1. Since c2 is an even integer, 4m2 + 4n2 must be an even integer as well. But, since 4m + 4n + 1 is odd, the only way to make the left-hand side of the equation an even integer is if 4m2 + 4n2 is an odd integer, which is impossible.
Therefore, our initial assumption that a and b are both odd integers is false. Thus, in a right triangle with integer sides, the two shorter sides cannot both be odd.
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Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Answers
(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/2
(B) Coordinates of Δ P"Q"R"
P" (-4,0)
Q"(-3,1)
R"(1,-2)
(C) Triangles PQR and P"Q"R" are not congruent.
Given
ΔPQR is transformed into ΔP'Q'R'
Coordinates of P, Q, R are
P (8,0),
Q(6,2)
R(-2,-4)
Coordinates of P'Q'R' are
P′(4, 0)
Q′(3, 1)
R′(−1, −2)
(A) By Distance formula we can find the distance between P Q and P'Q'
Distance formula = [tex]D = \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
Where D = Distance between two points
from distance formula we can write that
PQ = [tex]\sqrt{(6-8)^{2} +(2-0)^{2} } = \sqrt{4+4} =2 \sqrt{2}[/tex]
Similarly
P'Q'= √2
PQ /P'Q' = 2
hence the scale factor of dilation is 1/2 (Compression)
(B )The Coordinates of Reflection about y axis can be written for a point
(x,y) as (-x,y)
So the Coordinated of Δ P"Q"R" can be written as
P" (-4,0)
Q"(-3,1)
R"(1,-2)
(C) ΔPQR and ΔP"Q"R" are similar triangles but they are not congruent because their sides are not equal in size.
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A first-time homebuyer is comparing mortgage rates. Option A offers the homebuyer 5.25% annual simple interest. Option B offers the homebuyer the same interest rate but compounded semiannually. If the repayment period is the same length for both loans, which option will result in the least amount of interest added to the loan? Option A will have the least amount of interest because simple interest generates earnings from both principal and interest. Option A will have the least amount of interest because simple interest generates earnings from principal only. Option B will have the least amount of interest because compound interest generates earnings from principal only. Option B will have the least amount of interest because compound interest generates earnings from both principal and interest.
Answers
Answer:
If the repayment period is the same length for both loans, the interest option that will result in the least amount of interest added to the loan is B. Option A will have the least amount of interest because simple interest generates earnings from principal only.
What is the simple interest?
The simple interest is the interest system that does not compute interest on accumulated interest.
Unlike simple interest, compound interest charges interest on accumulated interest.
Thus, the simple interest system applies the interest rate on the principal only for each period to determine the amount of interest.
Step-by-step explanation:
Have a nice day
Brianna surveyed a representative sample of students at her school to collect data about the numbers of Internet-compatible devices they own. Use the data in the table. Select all the valid inferences.
Internet-Compatible Devices
Number of Devices Number of Students
1 18
2 25
3 or more 7
Students are more likely to own exactly 2 devices than any other number.
More students own 3 devices than own more than 3 devices.
Less than half as many students own 3 or more devices as compared to students who own 1 device.
10 more students own 1 device than own 3 or more devices.
None of the students own exactly 5 devices.
Answers
The valid inferences are (a) and (c)
How to determine the valid inferencesFrom the data in the table, we can make the following valid inferences:
Students are more likely to own exactly 2 devices than any other number. This is because the highest number of students (25) own 2 devices, which is more than the number of students who own 1 device (18) or 3 or more devices (7).Less than half as many students own 3 or more devices as compared to students who own 1 device. This is true because the number of students who own 1 device (18) is more than twice the number of students who own 3 or more devices (7)Using the above as a guide, we have the following:
Other inferences are invalid
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Angle AOC = 3x - 18 and Angle ABC = x + 10. Calculate the measure of angle
AOC.
a. 48⁰
b. 96°
C. 144°
d. 192°
Answers
The angle is 144°.
What is the angle?In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The English word "angle" derives from the Latin word "angulus," which means "corner." The vertex and the two rays are referred to as the sides of an angle, respectively, and are the shared termini of two rays. A shared terminal between two rays (half-lines) is joined to create an angle. The latter is referred to as the angle's vertex, and the rays are sometimes referred to as the angle's legs and other times as its arms.
Thus;
∠AOC + ∠COD + ∠BOD = 180°
Since AOB is a straight line:
⇒3x-10+50+x+20=180
⇒4x = 120°
⇒x = 30°
Thus, ∠AOC = 3x - 18
∠AOC = 3 × 30° - 18
∠AOC = 72°
2(72) = 144°
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1/3h=6 I don’t know how to solve it
Answers
Solution
H=18
Kara's family car holds 20 gallons of gasoline. Each day the car uses 0.7gallons of gasoline. A warning light comes on when the remaining gasoline is 1.8 gallons or less, Starting from a full tank, can Kara's family drive the car for 18 days without the warning light coming on? Explain your reasoning. Yes, they can drive for 18 days because the gas tank has more than 1.8 gallons in the tank. O No, they can not drive for 18 days because the gas tank has less than 1.8 gallons in the tank.
Answers
Since the car uses 0.7 gallons of gasoline per day, over 18 days it will use:
0.7 gallons/day x 18 days = 12.6 gallons
If we subtract the amount of gasoline used during the 18 days from the total amount the tank can hold, we can find out how much gasoline will be left in the tank:
20 gallons - 12.6 gallons = 7.4 gallons
Since 7.4 gallons is more than 1.8 gallons, Kara's family can drive the car for 18 days without the warning light coming on. Therefore, the answer is Yes, they can drive for 18 days because the gas tank has more than 1.8 gallons in the tank.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?
4.9 9.8 StartFraction m Over s squared EndFraction.
9.8 9.8 StartFraction m Over s squared EndFraction.
10.2 10.2 StartFraction m Over s squared EndFraction.
19.6 19.6 StartFraction m Over s squared EndFraction.
Answers
The acceleration due to gravity of a falling object is +9.8 m/s²
What is acceleration due to Gravity?The acceleration an object experiences as a result of gravitational force is known as acceleration due to gravity. m/s² is its SI unit. Its nature which includes both magnitude and direction—makes it a vector quantity.
Given:
A linear expression we have
y= k x,
Here, Variation's constant is constant, or k.
The acceleration caused by gravity is stated to be the variational constant in the statement.
So, the linear expression becomes
y = g x, where g is a proportionality constant.
Now, Work is not done against gravity since an object falling downwards accelerates due to gravity at a rate of +9.8 m/s².
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Find the area of the rhombus below.
Answers
Since it's a rhombus, the the diagonal intersection point is the middle point, so the diagonal should be
d1=5x2=10cm
d2=2x2=4cm
area=(d1xd2)/2=(10x4)/2=20cm^2
A building casts a 103-foot shadow at the same time that a 32-foot flagpole casts as 34.5-foot shadow. How tall is the building (Round your answer to the nearest tenth.)
Answers
The height of the building which casts a 103-foot shadow is 95.5 foot.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that building casts a 103-foot shadow at the same time that a 32-foot flagpole casts as 34.5-foot shadow
We need to find the height of the building.
Let us consider x be the height of building.
Form a proportional equation.
x/103=32/34.5
Apply cross multiplication
34.5x=32×103
34.5x=3296
Divide both sides by 34.5
x=3296/34.5
x=95.5
Hence, 95.5 foot be the height of the building which casts a 103-foot shadow.
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What are the values of X and Y?
Answers
The ratio of the short side to the long side is 9/4 and the ratio of the hypotenuse to the long side is 5/4.
What is triangle ?
A triangle is a two-dimensional shape with three straight sides and three angles. It is one of the most basic and important shapes in geometry.
The three sides of a triangle can be of different lengths, or they can be of the same length, in which case it is called an equilateral triangle. The angles of a triangle can also vary, and they always add up to 180 degrees. Triangles can have acute angles (less than 90 degrees), right angles (exactly 90 degrees), or obtuse angles (greater than 90 degrees).
According to given information :
Ratio of short to long sides:
x/9 = 9/4
To solve for x, we can cross-multiply:
4x = 9 * 9
4x = 81
x = 81/4
So the ratio of the short side to the long side is:
x/9 = (81/4) / 9 = 81/36 = 9/4
Ratio of hypotenuse to long sides:
y/9 = 15/12
To solve for y, we can cross-multiply:
12y = 9 * 15
12y = 135
y = 135/12 = 45/4
So the ratio of the hypotenuse to the long side is:
y/9 = (45/4) / 9 = 45/36 = 5/4
Therefore, the ratio of the short side to the long side is 9/4 and the ratio of the hypotenuse to the long side is 5/4.
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someone help me with this please! number ps 3, 4, and 5!
Answers
24% voted for Luke and Oliver
And Wendy and Vanessa had half the votes added together (50%)
Answer:
1) Wendy
2) Paige
3) 15%
4) 27%
5) Wendy and Vanessa
Step-by-step explanation:
Wendy 29%
Vanessa 21%
Oliver x
Mike 14%
Luke 12%
Paige 9%
Total 100%
First, let's find Oliver's percentage.
29 + 21 + x + 14 + 12 + 9 = 100
x = 15
Now we have:
Wendy 29%
Vanessa 21%
Oliver 15%
Mike 14%
Luke 12%
Paige 9%
Total 100%
1) Wendy
2) Paige
3) 15%
4) 12% + 15% = 27%
5) 29% + 21% = 50%: Wendy and Vanessa
Algebra 2 - F - Homework #7
Solve the following systems of equations. Graph the lines to check your
solutions. Make sure you show all the work:
1.{2x+y=2
{5x+3y − 9
2. {5x - 2y = -2
{3x + 4y − 30
3. {-x+2y =
{3x + y = 15
Please help
Answers
The solutions to the equations are;
(-3, 8) and (34/10, 156/16)
How do you solve the simultaneous equations?1) We can see that;
2x+y=2 ---- (1)
5x+3y = 9 ----- (2)
Multiply (1) by 5 and (2) by (2)
10x + 5y = 10 --- (3)
10x + 6y = 18 ----- (4)
Subtract 3 from 4
y = 8
Now substitute y =8 in (1)
2x + 8 = 2
x = 2 - 8/2
x = -3
Solution is; (-3, 8)
For question 2;
5x - 2y = -2 ---- (1)
3x + 4y = 30 ---- (2)
Multiply 1 by 3 and 2 by 5
15x - 6y = -6 ---- (3)
15x + 20y = 150 ----- (4)
Subtract (3) from (4)
16y = 156
y = 156/16
5x - 2(156/16) = -2
5x - 156/8 = -2
5x = -2 + 156/8
x = 34/10
Solution; (34/10, 156/16)
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When a data set has an outlier, which measure of central tendency would be the best measure of the middle to use?
Answers
If a data set has an outlier, the median would be the best measure of central tendency to use as it is less sensitive to extreme values compared to the mean.
The presence of an outlier can heavily skew the mean in the direction of the outlier, causing it to become an inaccurate representation of the center of the data. On the other side, the median is less sensitive to extreme values and represents the middle value of the dataset. It is calculated by finding the middle value in a dataset after arranging it in numerical order.
Therefore using the median as the measure of central tendency in a dataset with an outlier can provide a better indication of the typical value compared to the mean.
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A rectangular driveway is 15 3/4 yards by 3 yards. Concrete costs $49.80 per square yard to pour. How much will it cost to pour concrete for the entire driveway?
Answers
It will cost $2353.05 to pour concrete for the entire driveway
How much will it cost to pour concrete for the entire driveway?From the question, we have the following parameters that can be used in our computation:
Dimension = 15 3/4 yards by 3 yards.
Concrete costs $49.80 per square yar
The cost is calculated as
Total = Area * Cost
So, we have
Total = (15 3/4 * 3) * 49.8
Evaluate
Total = 2353.05
Hence, the cost is $2353.05
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The brass section of a middle school jazz band has 4 trumpets and 3 trombones. What is the ratio of trombones to all the brass section members?
7/3
, 7:3, or 7 to 3
4/7
, 4:7, or 4 to 7
4/3
, 4:3, or 4 to 3
3/7
, 3:7, or 3 to 7
Answers
The required ratio of trombones to all the brass section members is 3 : 7.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The total number of members in the brass section of the jazz band is:
4 trumpets + 3 trombones = 7 members
The ratio of trombones to all the brass section members can be expressed as,
= 3 trombones / 7 brass section members
This ratio cannot be simplified further because the numbers are relatively prime.
Therefore, the ratio of trombones to all the brass section members is 3 : 7.
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Mr. Yu applies 12 ounce of fertilizer to every 58 square meter of his lawn.
How many ounces of fertilizer does Mr. Yu use per square meter for his lawn?
Enter your answer in the box as a fraction in simplest form.
ounces per square meter
Answers
The amount of urea per square meter in form of fraction will be 6/29 ounce/meter².
What exactly is a fraction?
In mathematics, a fraction is used to represent a piece or part of a whole. It symbolises the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.
5/10, for example, is a fraction.
In this case, 5 is the numerator and 10 is the denominator.
Now,
Given that Total area=58 square meter
Total Urea used=12 ounce
then urea used for 1 square meter=12/58
=6/29 ounce/meter².
Hence,
The amount of urea per square meter in form of fraction will be 6/29 ounce/meter².
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Explain why the value of 2.8 is greater than the value of 2.58.
2.58 is greater than 2.8 because 2.8 is closer to 0 on a number line.
2.58 is less than 2.8 because 2.58 is closer to 3 on a number line.
2.8 is greater than 2.58 because 2.8 is closer to 3 on a number line.
2.8 is less than 2.58 because 2.58 is closer to 0 on a number line.
Answers
The correct answer is: 2.8 is greater than 2.58.
What is decimal value?A decimal value is a number expressed in the decimal system, which is based on the number ten. It includes a decimal point that separates the whole number part from the fractional part. The digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractional parts of a whole number, which are expressed in powers of ten (tenths, hundredths, thousandths, etc.). For example, in the decimal value 3.14, the digit 3 represents the whole number part, and the digits 1 and 4 represent the tenths and hundredths parts, respectively. Decimal values are commonly used in mathematics, science, and everyday life to represent quantities that are not whole numbers, such as measurements, percentages, and money values.
Given by the question.
because the digit in the tenths place is larger in 2.8 than in 2.58. In decimal notation, the digit immediately to the right of the decimal point represents tenths, and larger values in this place indicate a larger overall value. In this case, 2.8 has a digit of 8 in the tenths place, while 2.58 has a digit of 5 in the tenths place. Therefore, 2.8 is greater than 2.58. The location of the numbers on a number line is not relevant for comparing decimal values, unless they have the same digit in the tenths.
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115% is it growth or decay
Answers
Answer:
decay
Step-by-step explanation:
Because you are dying every second of the day and are growing only when your body is resting
Answer:
hey, good morning! the answer to this equation is growth!
Step-by-step explanation:
because if you figure out what 115% is as a decimal which is 1.15. and this decimal is above 1.
good luck!
What size is 4 cm in inches?
Answers
Answer:
1.5748 in
Step-by-step explanation:
Answer:
1 inch = 2.54 cm
4 / 2.54 = 1.5748031496 inches
Step-by-step explanation:
A jar contains 18 strawberry, 24 cherry, and 19 lime-flavored candies. The rest of the candys are chocolate there are 82 candys in all . if n represents the number of chocolates in the jar, what equation could you use to find n?
Answers
The number of chocolates in the jar is given by the equation n = 21 chocolates
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Let the number of chocolates be n
Substituting the values in the equation , we get
The number of strawberries in the jar = 18
The number of cherries in the jar = 24
The number of lime candies in the jar = 19
The total number of candies in the jar = 82 candies
So , the equation will be
Number of strawberries in the jar + number of cherries in the jar + number of candies in the jar + number of chocolates = 82
Substituting the values in the equation , we get
18 + 24 + 19 + n = 82
On simplifying the equation , we get
n + 61 = 82
Subtracting 61 on both sides of the equation , we get
n = 21 chocolates
Hence , the equation is n = 21 chocolates
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Please answer that asap
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The value of gravitational force between two masses is,
⇒ Gravitational force (F) = 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Two masses are,
m₁ = 6
m₂ = 8
d = 4
Now, We know that;
Gravitational force (F) = m₁ m₂ / d²
Substitute all the values we get;
Gravitational force (F) = m₁ m₂ / d²
Gravitational force (F) = 6 × 8 / 4²
Gravitational force (F) = 48/16
Gravitational force (F) = 3
Thus, The value of gravitational force between two masses is,
⇒ Gravitational force (F) = 3
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Solve the Magic Square
Answers
The missing numbers for the respective rows are:
row 1: 4/5
row 2: -4/5 and -2/5
row 3: -3/5 and 6/5
How to evaluate for the missing numbersMissing number for row 1(top row):
1 - 1/5 = 4/5
Missing number for row 2 (2nd number for last column):
3/5 - 1 = -2/5
Missing number for row 2 (1st number for first column):
-2/5 - 2/5 = -4/5
Missing number for row 3 (1st number for first column):
1/5 + (-4/5) = -3/5
Missing number for row 3 (2nd number for second column):
4/5 + 2/5 = 6/5
Therefore, row 1 have the missing number; 4/5. Row 2 missing numbers from left; -4/5 and -2/5. Row 3 missing number from left; -3/5 and 6/5
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Possible question:
If the sum of the first two numbers in row 1 is equal to 1 and the sum of the first two in last column to the right is equal to 3/5. Find the missing numbers.
The temperature in Helena, MT was 0∘C
at 6 a.m. on Tuesday morning. The temperature rose at a rate of 78∘C
per hour for 12 hours, then fell at a rate of 76∘C
per hour for 12 hours.
What was the temperature in Helena at 6 a.m. the next morning?
Answers
The temperature in Helena at 6 a.m. the next morning is 24∘C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
The temperature in Helena, MT was 0∘C at 6 a.m. on Tuesday morning.
The temperature rose at a rate of 78∘C per hour for 12 hours, then fell at a rate of 76∘C per hour for 12 hours.
Now,
Temperature first after 12 hours= 78*12=936
Temperature second after 12 hours= 76*12=912
=936-912
=24
Therefore, the answer will be 24∘C.
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Pls help me I am struggling thanks
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The value that should go on the flyer from the environmental group can be found to be 60, 000 m ².
The reason why the building developer chose a different unit from the environmental group is to try to understate the amount of land they would be building on.
How to find the value ?The conversion factor for square kilometers and meters squared is :
1 km ² = 100, 000 m²
0. 06 km ² would then be :
= 0. 6 x 100, 000
= 60, 000 m ²
The building developer chose to use square kilometers to make it seem as though the amount of land they were using was little so as not to have people being angry with the amount of land they would use. The environmental group chose meters squared for the opposite effect to make it seem like a lot of land was to be used.
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