what is maths and why we use maths
Answers
Answer:
1. Mathematics is the science that deals with the logic of shape, quantity and arrangement.
2. Mathematics makes our life orderly and prevents chaos
Answer:
Math is a way to add, subtract, divide, and multiply stuff. We use it in our daily live to pay bills, taxes, buy stuff, sell stuff, and many more things.
Related Questions
do this worksheet if someone do I will make him or her brainly if correct
Answers
Answer:
1. 19/100
2. 3/10
3. 80%
4. 85%
5. 3/20
Your grandfather tells you that he has four coins in his pocket. He has no pennies, and no coin is worth more than a quarter. Calculate all the possible amounts. If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, what is your guess ? Include all combinations in your answer, but include each combination only once be sure to indicate what your guess is.
Answers
Answer:
20 cents
Step-by-step explanation:
Possible coins in grandfather's pocket include : nickel, dime, quarter
A nickel = 5 cents
A dime = 10 cents
A quarter = 25 cents
First combination= nickel+dime+quarter+quarter
Second combination=nickel+quarter+quarter+quarter=
Third combination= dime+quarter+quarter+quarter
Third combination=quarter+quarter+quarter+quarter
4th combination = nickel + nickel+dime+quarter
5th combination= nickel +nickel+nickel+dime
6th combination =nickel+nickel+nickel+quarter
7th combination= nickel + nickel + nickel +nickel
8th combination = dime + dime +quarter +nickel
9th combination = dime +dime+dime+quarter
10th combination =dime+dime+dime+nickel
11th combination=dime+dime+dime+dime
If Grandpa offers to give you the coins if you are able to guess the amount within ten cents, then all coins are below ten cents and all coins are nickels = 4 nickels ×5 = 20 cents
The following data were obtained from 4 people Pre-Test Value Post-test Value 43 42 28 29 31 30 28 25 You may also assume that the sample standard deviation for the four differences is 1.6. What is the correct t-statistic and the degrees of freedom for these data
Answers
Answer:
Test statistic = 1.25
Degree of freedom = 3
Step-by-step explanation:
The following data were obtained from 4 people
Pre-Test Value Post-test Value __ d
43 ________42 _________ 1
28_______ 29 ________ - 1
31 ________30 _________ 1
28 ________ 25 _________ 3
μd = (1 + - 1 + 1 + 3) / 4 = 4 /4 = 1
The mean difference, μd = 1
The standard deviation of difference, Sd = 1.6
The test statistic = μd / (Sd / √n)
Test statistic = 1 / (1.6/2) = 1 / 0.8
Test statistic = 1.25
Degree of freedom, = n - 1 = 4 - 1 = 3
4 (x-9) = -48 x= please help me
Answers
distribute the 4:
4x-36=-48x
subtract 4x
-36=-52x
divide by -52
x=1/2
Find all real square roots of 100.
If there is more than one answer, separate them with commas.
If there are none, click on "None".
Answers
what is the surface area of cuboid if length is 8cm width is 5cm and height 6cm
Answers
Answer:
Surface area of the cuboid = 236
Step-by-step explanation:
Step(i):-
Given that the length of the cuboid = 8 cm
Given that the width of the cuboid = 5 cm
Given that the height of the cuboid = 6 cm
Step(ii):-
The total surface area of the cuboid
S A = 2( l w + w h+ hl)
= 2( 8×5 + 5×6 + 6×8)
= 2(118)
= 236
Surface area of the cuboid = 236
fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
Answers
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)
Answers
By using a statistical calculator, the actual sample mean and sample standard deviation are:
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
How to calculate the sample mean for the set of data?In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:
Mean = ∑x/(n - 1)
∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:
Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)
x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;
Actual sample mean = 46.1500.
Actual ample standard deviation = 8.6256.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
1. A hungry 11 kg predator fish is coasting from west to east at 75.0 cm/s when it suddenly swallows a 1.2 kg fish swimming from north to south at 36.0 cm/s. Find the magnitude and direction of the velocity of the large fish just after it snapped up this meal. Neglect any effects due to the drag of the water.
Answers
Answer:
the magnitude of the velocity of the large fish just after it snapped up this meal is about 69.9 cm/s and the direction is about 2.9 degrees south of east. This can be obtained by applying the conservation of momentum principle to the two-dimensional collision of the two fish.
Step-by-step explanation:
Let's start by finding the momentum of the predator fish before the collision. We can use the formula:
p1 = m1 * v1
where p1 is the momentum of the predator fish, m1 is its mass, and v1 is its velocity. Substituting the given values, we get:
p1 = 11 kg * 75.0 cm/s
p1 = 825 kg·cm/s
Next, let's find the momentum of the small fish before the collision. Again, we can use the formula:
p2 = m2 * v2
where p2 is the momentum of the small fish, m2 is its mass, and v2 is its velocity. Substituting the given values, we get:
p2 = 1.2 kg * 36.0 cm/s
p2 = 43.2 kg·cm/s
The total momentum before the collision is the sum of p1 and p2:
p = p1 + p2
p = 825 kg·cm/s + 43.2 kg·cm/s
p = 868.2 kg·cm/s
After the collision, the predator fish and the small fish move together as one object. Let's assume that their combined mass is M, and their combined velocity is v. Then, the total momentum after the collision is:
p' = M * v
According to the law of conservation of momentum, p' must be equal to p:
p' = p
M * v = 868.2 kg·cm/s
To solve for v, we need to find M. The combined mass of the predator fish and the small fish is:
M = m1 + m2
M = 11 kg + 1.2 kg
M = 12.2 kg
Substituting this value into the equation for p', we get:
12.2 kg * v = 868.2 kg·cm/s
v = 71.1 cm/s
The magnitude of the velocity of the predator fish after swallowing the small fish is 71.1 cm/s. To find the direction, we can use the concept of vector addition. The velocity of the predator fish before the collision is purely in the eastward direction, so we can represent it as a vector:
v1 = 75.0 cm/s east
The velocity of the small fish before the collision is purely in the southward direction, so we can represent it as a vector:
v2 = 36.0 cm/s south
The velocity of the predator fish and the small fish after the collision can be represented as a vector sum of v1 and v2:
v = v1 + v2
To find the direction of v, we can use the tangent function:
θ = tan⁻¹(v2 / v1)
θ = tan⁻¹(36.0 cm/s / 75.0 cm/s)
θ = 26.6° south of east
Therefore, the direction of the velocity of the predator fish after swallowing the small fish is 26.6° south of east.
Grandma Stella shared her last estate worth $130,000.00 in the ratio of 8:5 between her two children Boyo and Marla respectively. Exactly how much did Marla receive?
Answers
Answer:
50,000.00
Step-by-step explanation: x/130,000.00=5/8+5
13x650,000.00
x=50,000.00
one more than a number
Answers
Answer:
x+1
Step-by-step explanation:
Give a pair of corresponding angles, a pair of alternate interior angles, and a pair of alternate exterior angles.
Answers
A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:
Corresponding angles: ∠1 ≅ ∠5.
Alternate interior angles: ∠4 ≅ ∠6.
Alternate exterior angles: ∠2 ≅ ∠8
What are corresponding angles?In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:
∠1 ≅ ∠5
By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:
∠4 ≅ ∠6
By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:
∠2 ≅ ∠8
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What was likely the purpose of the Great Enclosure?
A. To keep slaves and workers from escaping
B. To protect Zimbabweans from outside invasion
C. To separate the wealthy from the poor in society
D. To enclose cattle and horses
Answers
CAN SOMEONE HELP WITH THIS QUESTION?✨
Answers
The required co-terminate angles of 1817° between 0° to 360° is 343°.
What is co-terminal angles?Co-terminal Angles are points who share similar introductory side and terminal sides. Finding co-terminal points is just about as straightforward as adding or taking away 360° or 2π to each point, contingent upon whether the given point is in degrees or radians. There are a boundless number of co-terminal Angles that can be found.
According to question:For calculating co-terminal of angle 1817°,
We will subtract given angle 1817° from 2160°(multiple of 360°)
Then,
2160° - 1817°
343°
Thus, the co-terminating angle of 1817° is 343°.
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A newsletter publisher believes that over 30% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.05 level of significance, the advertiser failed to reject the null hypothesis.
Answers
The conclusion regarding the publisher's claim regarding the hypothesis is that have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.
What is a null hypothesis?The null hypothesis is a statistical theory that suggests that no statistical relationship and significance exists in a set of given single observed variable, between two sets of observed data and measured phenomena.
Since we reject the null hypothesis , we have sufficient evidence to support the claim. In this case, we have sufficient evidence to support the claim that the proportion is less than 30% of their readers own a Rolls Royce.
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Complete question:
A newsletter publisher believes that less than 30% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.
What is the sample size? Give only the number:
The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?
Answers
The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.
First, let's calculate the margin of error:
Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055
Next, we can calculate the lower and upper bounds of the confidence interval:
Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%
Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%
Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).
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Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
Answers
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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Find an equation in point slope form for the line haveing the slope m=-3 and containing the point (6 7)
Answers
Answer:
7-y=-3(6-x)
Step-by-step explanation:
Point slope form:
\(y-y_{1} = m(x-x_{1} )\)Substitute y in for 7. Substitute x in for 6. Substitute m in for -3.
7-y=-3(6-x)\( - 10 - (5 - 9) {}^{2} \)How would you solve this problem?
Answers
You have the following expression:
-10 - (5 - 9)²
In order to simplify the previous expression you proceed as follow:
- 10 - (5 - 9)² simplify terms inside parenthesis
= -10 - (-4)² solve the parenthesis
= -10 - 16 simplify
= -26
Hence, the simplified expression is -26.
A collector has 90 movie posters and 50 band posters. She wants to sell 36 movie posters but still have her poster collection maintain the same ratio of 90:50. If she sells 36 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell. Her current ratio of movie posters to band posters is 90:50. If she sells 36 movie posters, she will have 90 54 left. so she should sell band posters. 50 as
Answers
Answer:nm
Step-by-step explanation:
find total amount to be repaid. round to nearest cent as needed.
Answers
The total amount to be repaid by Neema will be $4135.50
How to calculate the total amount?It was illustrated that Neema bought appliances that cost $3805 at an interest charge of 5% and she will pay back in two years.
Since there is a $500 down payment, the remaining amount will be:
= $3805 - $500
= $3305
Therefore, the interest will be:
= PRT
= $3305 × 5% × 2
= $330.50
Therefore, total amount will be:
= $3305 + $500 + $330.50
= $4135.50
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round of the following to the nearest 1000
a)2648
b)4510
c)7394
Answers
Answer:
3000
5000
7000
Step-by-step explanation:
Answer:
a is 3000
b is 5000
c is 7000
Step-by-step explanation:
just make each thousand rounds up or down. if the hundreds number is closer to the next thousand then round up and if the hundreds are closer to the past thousand then round down
What are two expressions that are equivalent to the expression 5(6j + 3 + j)
Answers
Answer:
5(7j+3) AND 35j +15 are both equal to the expression 5(6j + 3 + j)
URGENT PLEASE HELP !!!
Answers
Answer:
36
Step-by-step explanation:
AB=AC+BE
AB=10+26
AB=36
What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?
Answers
Answer:
The base is: \(3 \sqrt[3]{4}\)
Step-by-step explanation:
Given
\(f(x) = \frac{1}{4}(\sqrt[3]{108})^x\)
Required
The base
Expand 108
\(f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x\)
Rewrite the exponent as:
\(f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x\)
Expand
\(f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x\)
\(f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x\)
Rewrite as:
\(f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x\)
An exponential function has the following form:
\(y=ab^x\)
Where
\(b \to base\)
By comparison:
\(b =3 \sqrt[3]{4}\)
So, the base is: \(3 \sqrt[3]{4}\)
Answer:
B
Step-by-step explanation:
good luck
Which statement about the value of x is true?
Ox> 38
389
0 x < 39
0x< 77
xº
39°
O x > 103
M M
N
Answers
Answer: Option A x>38
Step-by-step explanation:
I took the test and got 100% on it.
The solution is : x = 77 and x > 38.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
we know that,
Sum of all angles in a triangle is 180.
The angle PNO will hence be:
180 - 38 - 39 = 103 degrees.
The angle PNO + angle x = 180 degrees (straight line)
So 103 + x = 180,
therefore x = 180 - 103 = 77.
Which is also greater than 38,
so x > 38 is also correct.
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translate the word phrase into an algebraic equation and solve: the difference of y and eleven gives two
Answers
Translating the phrase "the difference of y and eleven gives two" into an algebraic equation, we get y = 13.
An algebraic equation is a mathematical statement that involves one or more variables and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and taking roots. The equation typically states that two expressions are equal, and the goal is to solve for the value(s) of the variable(s) that make the equation true.
Translating the phrase "the difference of y and eleven gives two" into an algebraic equation, we get:
y - 11 = 2
To solve for y, we can isolate the variable y by adding 11 to both sides of the equation:
y - 11 + 11 = 2 + 11
y = 13
Therefore, the solution to the equation is y = 13.
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Q2. The diagram shows the position of town A.
Scale: 1 cm represents 10 km
Town B is 64 km from town A on a bearing of 070°.
Mark the position of town B, with a cross (*).
Use a scale of 1 cm represents 10 km.
Answers
The position of town B in cartesian plane is 6.4 cm in 1st quadrant at an angle of 70°.
As per the question statement, we are given that a diagram which shows the position of town A and the scale of 1 cm representing 10 km.
Town B is 64 km from town A on a bearing of 070°. We are supposed to tell the position of town B.
Let's assume that town A lies at origin in cartesian plane and as 1 cm represents 10 km therefore,
\(1cm = 10 km\\1 km = 0.1 cm\\64 km = 64*0.1=6.4 cm\)
The town B is 6.4 cm from the origin and as the angle is given as 70° so the position of town B is in 1st quadrant.
Therefore the position of town B is 6.4 cm in 1st quadrant at an angle of 70° when town A lies at origin in the cartesian plane.
Cartesian Plane: The cartesian coordinate system includes a two-dimensional plane known as the Cartesian Plane. Numerical coordinates can be used to describe any point on a cartesian plane.To know more about cartesian plane, click on the link given below:
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Lukas wants to create a triangle with sides measuring 9 in., 13 in., and 15 in. He says that more than one triangle is possible given these side lengths. Which statement about Lukas’s claim is true?
Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
Lukas is incorrect. The side lengths do not satisfy the triangle inequality rule so no triangles can be drawn given these side lengths.
Lukas is correct. The side lengths satisfy the triangle inequality rule so multiple triangles can be drawn.
Lukas is correct. The side lengths do not satisfy the triangle inequality rule so multiple triangles can be drawn.
I think Lukas is incorrect. The side lengths satisfy the triangle inequality rule so one unique triangle can be drawn.
Answers
Answer:
The first statement.
Step-by-step explanation:
You basically already explained it. It satisfies the inequality rule so only one can be made.
Answer:
it’s A
Step-by-step explanation:
give a thanks if u think my dog is adorable
Find area of trapezium with height 8cm and the sum of its parallel sides as 15cm
Answers
Answer:
The Area of the trapezium is \(60cm^2\)
Step-by-step explanation:
Given,
Height (h)= 8cm
Sum of the parallel sides (a+b)= 15cm
Area of trapezium = \(1/2*h*(a+b)\)
=\(1/2*8*15\)
=\(4*15\)
Area of trapezium=60cm^2
Answer: Area = 60 cm²
Step-by-step explanation:
To find the area of a trapezium we use the formula
Area of trapezium = 1/2 (sum of parallel sides) × height
∴ Area = 1/2 ×15 cm × 8 cm
= 60 cm²
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