No. of steps in one week = 66000
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
In weekday = 10000
In weekend = 8000
There are 5 weekdays and 2 days in weekend
SO, 5 x 10000 + 2 x 8000
= 50000 + 16000
= 66000 steps.
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How many whole numbers lie between 237 and 143?
Answer:
93
Step-by-step explanation:
143 —————>233 = 90
233 —————>237 = 3
90 + 3 = 93
The number of the whole numbers lying between 237 and 143 will be 94.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Zero, a consistently positive number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive values are negative in value. The set of integers is frequently represented in mathematical notation by the big bold letters Z.
The number of the whole numbers lying between 237 and 143 will be given by the subtraction of the numbers from 237 to 143. Then we have
⇒ 237 - 143
⇒ 94
The number of the whole numbers lying between 237 and 143 will be 94.
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A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) _____ scale.
Ordinal is the answer.
In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.
Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".
Hence, The answer is Ordinal
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Combine the like terms to create an equivalent expression
-4r-2r+5
Answer:
-6r+5
Step-by-step explanation:
Combining the like terms
⇒-4r-2r+5
⇒-6r+5
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards.
Answer:
30 yards
Step-by-step explanation:
9+9+6+6=30yards
Hassan's soccer team is trying to raise $688 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $43 for the breakfast. How many people need to attend their breakfast in order to raise $688?
Answer: 182
Step-by-step explanation:
What does it mean for a sample to have a standar deviation of zero? describe the scores in such a sample
Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula
Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.
Variance = Summation n to i = 1 [tex]\frac{(X_{1-X} )^2}{n-1}[/tex]
0 = Summation n to i = 1[tex]\frac{(X_{1-X} )^2}{n-1}[/tex]
Summation n to i [tex]{(X_{1-X} )^2[/tex] = 0
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ST
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to of itself
the result is a 15.
The modern day equation that models this problem is
x+x=15.
What is the solution to the equation?
O x = 10
x = 12
x = 15
x = 30
Step-by-step explanation:
please make sure that fractions are still in the problem text after scanning it.
because they are missing here, and I have to guess around.
Basically the problem is
x + 1/a × x = 15
that means
ax + x = 15a
(a+1)x = 15a
x = 15a/(a+1)
for a = 2 (so, 1/2 x is added to x), we get
x = 15×2/3 = 30/3 = 10
for a = 4 (1/4 of x is added to x), we get
x = 15×4/5 = 60/5 = 12
these are also the first 2 answer options. so, please pick the one that fits the complete problem definition.
the 3rd and 4th answer options are nonsense anyway, as when you add something greater than 0 to x and get 15, then the initial x cannot be already 15 or even bigger.
Hot tea is around 181 degrees Fahrenheit, and the room temperature is 72 degrees Fahrenheit. The rate of the hot tea cooling on a desk in the room is about 6.5% every minute. You need to determine how hot the tea will be after t minutes? Which function models this situation?
The function that models the given situation is; f(x) = 109(0.935)^(t) + 72
How to interpret function models?
We are given that;
Temperature of hot tea = 181°F
Room temperature = 72°F
Rate of the hot tea cooling on a desk in the room = 6.5% every minute
We know that an exponential function is of the form of;
y = A(r)^(x)
where;
A is the initial value.
r is the rate of increase/decrease in decimals.
Thus, our initial value is;
A = 181 - 72 = 109
The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935
Since the room temperature is 72 degrees Fahrenheit, then the function is;
f(x) = 109(0.935)^(t) + 72
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how many days on earth, in decimal form, are equivalent to 9 1/2 years on venus
One year on Venus is 225 days on Earth.
Multiply that by 9 1/2.
The answer you get is 2137.5
9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.
There are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Equivalent to 9 1/2 years on venus.
Let the number of days on earth is x:
One year on Venus is 225 days on Earth.
= (225)(9 1/2)
= (225x19)/2
= 2137.5 days
Thus, there are 9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.
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A cylindrical vase has a diameter of 6 inches and a height of 8 inches. The vase already contains 20 cubic inches of water. A faucet can fill the vase at
a rate of 8 cubic inches per second.
To the nearest second, how long will it take the faucet to fill the vase? Enter the answer in the box.
Use the info
seconds
In 25.76 seconds we will fill the total volume of the cylinder.
how long will it take the faucet to fill the vase?The total volume of the cylinder is given by the equation:
V = pi*R^2*H
Where pi = 3.14, R is the radius and H is the height.
Here we know that the diameter is 6 inches, then the radius is:
R= 6in/2 = 3in
And the height is 8 inches, then the volume is:
V = 3.14*(3in)^2*8in = 226.08 in^3
We already have 20 cubic inches of water there, so what we need to fill is:
226.08 in^3 - 20in^3 = 206.08in^3
If we fill it at a rate of 8in^3/s, the time in which we will completely fill the cylinder is:
T = 206.08in^3/8in^3/s = 25.76s
In 25.76 seconds we will fill the total volume of the cylinder.
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*PLS HELP*
Drag and drop each verbal phrase next to the algebraic expression that models it.
the base salary of an employee and a 6%
salary increase
x+0.06x=1.06x
x-0.60x=0.40x
x+0.60x= 1.60x
the number of students attending school
last year and a 60% increase from last year
ix-0.06x=0.94x
the cost of groceries and a 6% discount
with coupons
the price of a winter coat and a 60%
discount
Answer:
1st Question: The answer is the bottom left
2nd Question: The answer is the bottom right
3rd Question: The answer is the top left
4th Question: The answer is the top right.
Step-by-step explanation:
in a sample of 200 households, the mean number of hours spent on social networking sites during the month of january was 55 hours. in a much larger study, the standard deviation was determined to be 7 hours. assume the population standard deviation is the same. what is the 99% confidence interval for the mean hours devoted to social networking in january? (2 points) the 99% confidence interval ranges from 53.73 to 56.27 hours. the 99% confidence interval ranges from 7 to 55 hours. the 99% confidence interval ranges from 54.51 to 55.49. the 99% confidence interval ranges from 55 to 60 hours.
The correct option is A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
The 99% confidence interval for the mean hours devoted to social networking in January ranges from 53.73 to 56.27 hours.
What is confidence interval?In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between two specified values.
A confidence interval is a set of values bounded both above and below the mean of a statistic that are likely to contain an unknown parameter. The proportion of probability, or predictability, that the confidence interval will contain the real population parameter when a random sample is drawn many times is referred to as the confidence level.sample size 'n' =200
Mean 'x' = 55 hours
Standard deviation (Population) = 7 hours
For 99% confidence level
Z critical value = 2.58
Margin of error = ±2.58(std error)
Now, compute the standard error
Standard error = 7/√n
=7/√200
= 0.495
Thus, margin of error = ±0.495(258) = 1.28
Now, calculate the Confidence interval;
Confidence interval = (55 - 1.28, 55 + 1.28)
= (53.72, 56.28)
Confidence interval = (53.73, 56.27) [approx.]
Therefore, the confidence level lies between 53.73, 56.27) [approx.]
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The correct question is-
In a sample of 200 households, the mean number of hours spent on social networking sites during the month of January was 55 hours. In a much larger study, the standard deviation was determined to be 7 hours. Assume the population standard deviation is the same. What is the 99% confidence interval for the mean hours devoted to social networking in January?
A) The 99% confidence interval ranges from 53.73 to 56.27 hours.
B) The 99% confidence interval ranges from 7 to 55 hours.
C) The 99% confidence interval ranges from 54.51 to 55.49 hours.
D) The 99% confidence interval ranges from 55 to 60 hours.
find the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2). Round your answer to the nearest hundredth.
The perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.
We are given the vertices:
A(-4,4), B(2,-2), and C(-4,-2).
We need to find the perimeter of ABC.
AB = √ ( 2 + 4)² + (-2 - 4)²
AB = √ 6² + 6²
AB = √72
AB = 6 √2 units
BC = √ (-4 - 2)² + ( -2 + 2)²
BC = √ 6²
BC = 6 units
AC = √ ( -4 + 4)² + (-2 - 4)²
AC = √ 6²
AC = 6 units.
Perimeter = AB + BC + AC
Perimeter = 6 √2 + 6 + 6 units
Perimeter = 12 + 6 √2 units.
Perimeter = 12 + 6(1.414) units
Perimeter = 12 + 8.848 units
Perimeter = 20.848 units
Therefore, the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.
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With steps please, if it’s correct I’ll give full rate please
A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160feett/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute
Given that 1)A gull can fly at a speed of 22 miles per hour and asked to convert its units to foot/hour
2)An AMTRAK train travels at 125 miles per hour and is asked to convert its units to miles/minute
1 mile=5280 feet
22 miles/hour=22 × 5280 foot/hour
22 miles/hour=116,160 foot/hour
1 hour=60 minute
125 miles/hour= 125/60 miles/minutes
125 miles/hour= 2.083 miles/minutes≈ 2.1miles/minutes
Therefore, A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160 feet/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute
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Jim picks a number. he doubles that number, then adds 5, and gets 41 as his result. what was the original number jim picked?
Answer: 18
Step-by-step Explanation:
Subtract: 5 from 41 | 41-5= 36
Divide: by 2 | 36/2= 18
Answer:18
Step-by-step explanation:
SUBTRACT41 FROM 5
THAT GIVES YOU 38
THEN DIVIDE 38/2 AND IT WILL GIVES 18
Write the decimal equivalents of these two fractions: and .
The decimal equivalent of is
, and the decimal equivalent of is
.
The fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
Given two fractions are there 1/8 and 3/4?
We have to calculate those fractions into decimal form as below.
1/8 3/4
= 8) 10 (0.125 = 4) 30 (0.75
8 28
------- ---------
20 20
16 20
-------- ------------
40 0
40
---------------
0
Therefore, the fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.
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The question is incomplete. Please find the complete question below:
Write the decimal equivalents of these two fractions: 1/8 and 3/4
The decimal equivalent of 1/8 is 1.25, 0.125, or 0.0125, and the decimal equivalent of 3/4 is 7.5, 0.75, or 0.075
If p(a | b) = 0.4, p(b) = 0.8, and p(a) = 0.5, are the events a and b independent?
The events A and B are not independent.
Given that,
P(A|B) = 0.4
P(A) = 0.5
P(B) = 0.8
Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)
We have, P(A|B) = P(A∩B)/P(B)
Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32
Now P(A) P(B) = 0.5 x 0.8 = 0.4
So P(A∩B) ≠ P(A)P(B)
Therefore, the events A and B are not independent.
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What is the answer to this problem ?
Answer:
11
Step-by-step explanation:
Plug 4 into the x, 6(4) = 24
24 - 13 = 11
Jason is collecting coins from different countries around the world. He currently has coins from 99 countries and plans to add 4 new countries to his coin collection each week. At this rate how many weeks (w) will it take Jason to have coins from all 195 countries?
Equation:
Solution:
Final Answer:
???
The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
How to calculate the equation?It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.
Let the number of weeks be represented by w.
Therefore, based on the information, the appropriate equation will be:
99 + (4 × w) = 195
99 + 4w = 195
4w = 195 - 99
4w = 96
Divide
w = 96/4
w = 24
Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.
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Find the value of each of the following by using prime factorisation.
(b) 13824
Answer:
Here in the picture is the prime factorisation of 13824
Please mark as brainliest
solve the following quadratic equations by using square roots
(x-2)² = 0
(x-2)² =36
9a²-100 =0
Answer:
Step-by-step explanation:
no solution
(1-tan4 A) cos4 A = 1-2 sin² A
Step-by-step explanation:
You want to demonstrate the identity ...
(1-tan⁴(A))·cos⁴(A) = 1 -2·sin²(A)
Working with the left side, we have ...
[tex](1-\tan^4(A))\cos^4(A)=1-2\sin^2(A)\\\\(1-\dfrac{\sin^4(A)}{\cos^4(A)})\cos^4(A)=1-2\sin^2(A)\qquad\text{use tangent identity}\\\\\cos^4(A)-\sin^4(A)=1-2\sin^2(A)\qquad\text{multiply it out}\\\\(\cos^2(A) +\sin^2(A))(\cos^2(A)-\sin^2(A))=1-2\sin^2(A)\qquad\text{factor}\\\\1((1-\sin^2(A))-\sin^2(A)) = 1-2\sin^2(A)\qquad\text{use $\cos^2$ identity}\\\\1-2\sin^2(A)=1-2\sin^2(A)\qquad\text{Q.E.D.}[/tex]
__
Additional comment
The referenced identities are ...
tan = sin/cos
cos² = 1 -sin²
and the factorization of the difference of squares:
a² -b² = (a +b)(a -b).
Is the relationship between the side length of a square and its area proportional?
The relationship between the length of a side and the area is non proportional.
The answer is non proportional because the side length is x,
so is the other side lengths.
The side lengths are all equal and to find area you do x squared or x times x.
So they are not proportional because there will be different numbers for each.
For example. X= 2, area ( x squared ) is 4.
Hence, The relationship between the length of a side and the area is non proportional.
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In a square, we need to find the relationship between the length of a side and the area.
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Please help need to finish in an hour!
your question is wrong to make sure
How to I do part (ii)?
Answer:
Step-by-step explanation:
7(i)
[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=\frac{dx}{dx} *(3x-5)^\frac{5}{3}+x*\frac{d}{dx} \{(3x-5)^\frac{5}{3} \}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=1*(3x-5)^\frac{5}{3} +x*\frac{5}{3}*(3x-5)^{\frac{5}{3} -1}*\frac{d}{dx} \{(3x-5)\}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +\frac{x*5*(3x-5)^{\frac{2}{3}}*3 }{3} \\\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +5x*(3x-5)^\frac{2}{3} \\\\[/tex]
[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3}*((3x-5)^{\frac{5}{3}-\frac{2}{3}} + 5x)\\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5)^\frac{3}{3}+5x) \\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5+5x)\\\ \frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(8x-5)*(3x-5)^\frac{2}{3}[/tex]
7(ii)
[tex]\int\limits {(x*(3x-5)^\frac{2}{3}) } \, dx \\Let\ \sqrt[3]{3x-5} =u\\Hence,\\(\sqrt[3]{3x-5})^3=u^3\\ 3x-5=u^3\\3x-5+5=u^3+5\\3x=u^3+5\\[/tex]
Divide both parts of the equation by 3:
[tex]\displaystyle\\x=\frac{u^3+5}{3}\\\\dx=\frac{d}{du} \{\frac{u^3+5}{3}\} \\dx=\frac{3u^2}{3} du=\\\\dx=u^2du\\Hence,\\\\\int\limits {\frac{u^3+5}{3}* u^2*u^2} \, du =\\\\\int\limits {\frac{u^3+5}{3} *u^4} \, du =\\\\\int\limits {\frac{u^7+5u^4}{3} } \, du =\\\\\frac{1}{3} \int\limits {u^7} \, du +\frac{1}{3}\int\limits {5u^4} \, dxu =\\\\[/tex]
Find the value of x, given that m4 POS = 119°.
Answer: x=4.7°
Step-by-step explanation:
[tex]m\angle PQS=119^0\\\angle PQR+\angle RQS=\angle PQS\\72^0+(10x)^0=119^0\\72^0+(10x)^0-72^0=119^0-72^0\\10(x^0)=47^0\\[/tex]
Divide both parts of the equation by 10:
[tex]x=4.7^0[/tex]
Help? fraction multiplication as scaling AYUDA HELP
Answer:
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Explanation below
Explanation belowHope this helps :)
Step-by-step explanation:
1/2 × 3/5 = 3/10
2 2/3 × 3/5 = 8/3 × 3/5 = 24/15
5/5 × 3/5 = 15/25
We need to find the Least Common Multiple (LCM) to order them from least to greatest.
The LCM is 150.
3/10 = 45/150
24/15 = 1 9/15 = 1 90/150
15/25 = 90/150
So the order from least to greatest is ...
1) 1/2 × 3/5 = 45/150
2) 5/5 × 3/5 = 90/150
3) 2 2/3 × 3/5 = 1 90/150
Which choice is a term in this expression? 3x − 7(x + 4)
The term in the given expression is -3x − 7(x + 4) (A) -3x.
What exactly do we mean by expressions?A finite combination of symbols that is well-formed according to context-dependent rules is referred to as an expression or mathematical expression.A mathematical expression is a phrase that has at least two numbers or variables, at least one mathematical operation, and at least one mathematical operation.Addition, subtraction, multiplication, and division are all considered math operations.The structure of an expression is as follows: An expression is (Number/variable, Math Operator, Number/variable).Term:
Terms are expression parts that are separated by + or - signs.Because it is separated from the rest of the expression by a - sign, -3x is a term.Therefore, the term in the given expression is (A) -3x.
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The correct question is given below:
Which choice is a term in this expression? -3x − 7(x + 4)
Please help solve this equation. -3(5w-3y-2)
Answer:
-15w+9y+6
Step-by-step explanation:
I think that you are asking to simplify the expression. An equation has an equal sign and I do not see one.
We need to distribute the -3 to everything inside of the parentheses.
A negative times a negative is a positive.
A negative times a positive is a negative.
-3(5w-3y-2)
-3(5w) -3(-3y) -3(-2)
-15w + 9y + 6
Hi!
To simplify this, use the Distributive Property:
[tex]\tt{a(b+c)=ab+ac}[/tex] | Basically, we distribute a so that it gets multiplied by b and c.Now, let's simplify the given expression:
[tex]\dashrightarrow\sf{-3(5w-2y-2)}[/tex]
Like the property said, We should distribute -3 so that it's multiplied by each term:
[tex]\bullet\dashrightarrow\sf{-15w+9y+6}[/tex]
Therefore,
[tex]\bullet\dashrightarrow\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{-15w+9y+6}}}}}\dashleftarrow\bullet[/tex]
Good luck.- stargazing :')
Each figure shows a triangle with one of its angle bisectors.
Can someone help me
