True or false: according to the empirical rule, 95% of the data is within three plus or minus standard deviations of the mean.
Stan can paint a wall in 40 minutes. if ted works together with stan, it takes both of them 1515 minutes to paint the same wall. how many minutes does it take if ted paints the wall alone?
Who was a Mexican american who fought for Texan independence from mexico and later became a Texas senator.
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x------> the number of hammers
y------> the number of of wrenches
we know that
[tex]10x+6y\leq 120[/tex] -----> inequality A
[tex]x+y\geq 14[/tex] -----> inequality B
using a graphing tool
The solution of the system of inequalities is the shaded area
see the attached figure
Simplify. −7i⋅(−8i)
−56
−56i
56i
56
MATH HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
30 increased by 3 times the square of a number
The number is 30+ 3x².
What is square of a number?When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers. In geometry, the area of a square with 'n' as the side length (where n is an integer) is the finest example of a square number.
When an integer is multiplied by the same integer, the resultant number is known as a square number. For example, when we multiply 5 × 5 = 52, we get 25. Here, 25 is a square number. Square numbers are always positive, they cannot be negative because when a negative number is multiplied by the same negative number, it results in a positive number.
let the number be x
Now, 3 times square of a number
3x²
and, 30 increased
=30+ 3x²
Hence, the number is 30+ 3x².
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the population pf a city is 2,500. if the number of males is 240 more than the number of females how many males and females are there in the city
You need to represent the number of males in terms of females.
Explanation:Since you know the number of males relative to females, it makes sense to represent the number of females as a variable, let's say f.
So then the number of males is f+240 and we know that the number of males plus the number of females is 2500. Knowing this, we can write an equation: f+(f+240)=2500. I put the number of males in brackets there just to make it easy to recognize.
This equation can be condensed into 2f+240=2500 and then solved:
2f=2500−240
f=2500−2402
f=1130
Then, we know the number of females, and we can solve for the number of males from here using our male formula: males=f+240. You should then get 1370 as the number of males.
Checking this answer, we see that 1130 + 1370 does equal 2500.
how do I factor (x^2 + 1)^1/2 +2(x^2 + 1)^1/2
The equation 1.5r+15=2.25r1.5r+15=2.25r represents the number rr of movies you must rent to spend the same amount at each movie store. How many movies must you rent to spend the same amount at each movie store?
Simplify (-a2b3)2(c2)0
Let sin a = 12 13 with a in qii and sin b = − 15 17 with b in qiii. find sin(a + b), cos(a + b), and tan(a + b)
The sin(a + b), cos(a + b) and tan(a + b) for angles a and b where sin a = 12/13 and sin b = -15/17 respectively, can be calculated using the formulas for the sine, cosine, and tangent of the sum of two angles. The results are -252/221 for sin(a+b), 56/221 for cos(a+b) and -4.5 for tan(a+b).
Explanation:The given sin values represent the sides of the right triangles in terms of opposite/hypotenuse. Given we are in the second and third quadrants, where cos values are negative, we can use Pythagoras' Theorem, for example, to find cos a = -√(1 - sin²a) = -√(1 - (12/13)²) = -5/13 and analogously, we obtain cos b = -√(1 - sin²b) = 8/17.
Using the formulas for the sine, cosine, and tangent of the sum of two angles:
sin (a + b) = sin a cos b + cos a sin b, we obtain sin(a + b) = 12/13*(-8/17) + 5/13*(-15/17) = -252/221.For cos (a + b) = cos a cos b - sin a sin b, cos(a + b) = -5/13*-8/17 - 12/13*-15/17 = 56/221.And lastly for tan (a + b) = sin (a + b) / cos (a + b), tan(a + b) = -252/221 / 56/221 = -4.5.
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The distance around the outside of Cedar Park is 0.8 mile. Joanie ran 0.25 of the distance during her lunch break. How far did she run?
Answer: 0.2
Step-by-step explanation:
To calculate the distance that Joanie run during her lunch break is necessary to multiply the total distance around the outside of Cedar Park (0,8) by the 1/4 of the total distance that she ran (0,25).
So, the expression is:
0,25 . 0.8 = 0,2
Joanie run 0,2 miles during her lunch break.
If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?
Final answer:
Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B. In this case, events a and b are not independent.
Explanation:
Two events A and B are considered independent if the probability of A given B (P(A|B)) is equal to the probability of A, and the probability of B given A (P(B|A)) is equal to the probability of B.
In this case, if p(a|b) = 0.35, p(b) = 0.75, and p(a) = 0.44, we can determine if events a and b are independent by comparing the given probabilities.
To check if events a and b are independent, we need to find p(a|b) and compare it to p(a), and find p(b|a) and compare it to p(b).
p(a|b) = 0.35 means that the probability of event a occurring given that event b has occurred is 0.35. Since p(a|b) is not equal to p(a), events a and b are not independent.
2.Tumford the cats ate 1 5/6 pounds of cat food last week. This week, he ate 3/4 pounds less. How much cat food did he eat this week?
Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 7 cubic feet per minute. if the pool has radius 5 feet and height 8 feet, what is the rate of change of the height of the water in the pool when the depth of the water in the pool is 5 feet?
The rate of change of the height of the water in the pool when the depth is 5 feet is approximately 0.089 feet per minute.
Explanation:To find the rate of change of the height of the water in the pool, we can use the formula for the volume of a cylinder.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
So, when the depth of the water is 5 feet, we can find the rate of change of the height by differentiating the volume equation with respect to time.
Let's calculate it:
V = π(5^2)(h)
dV/dt = π(25)(dh/dt)
Since the volume is increasing at a constant rate of 7 cubic feet per minute, we have dV/dt = 7.
Substituting the given values, we have:
7 = π(25)(dh/dt)
dh/dt = 7/π(25)
So, the rate of change of the height of the water in the pool when the depth is 5 feet is approximately 0.089 feet per minute.
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To find the rate of change of the height of the water in the pool, we can use the concept of related rates. The rate of change is approximately 0.089 cubic feet per minute.
Explanation:To find the rate of change of the height of the water in the pool, we can use the concept of related rates. Let's call the height of the water in the pool 'h' and the rate of change of the height 'dh/dt'. We know that the volume of water in the pool is flowing at a constant rate of 7 cubic feet per minute, therefore the rate of change of the volume of water in the pool is also constant at 7 cubic feet per minute. The volume of a cylinder is given by V = πr^2h, where r is the radius of the pool and h is the height of the water. We can differentiate this equation with respect to time to find the rate of change of the volume.
dV/dt = πr^2(dh/dt)
Since the radius of the pool is constant at 5 feet and the rate of change of the volume is 7 cubic feet per minute, we can substitute these values into the equation and solve for dh/dt.
7 = π(5^2)(dh/dt)
dh/dt = 7/(π(5^2))
Therefore, the rate of change of the height of the water in the pool when the depth of the water is 5 feet is approximately 0.089 cubic feet per minute.
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What are the explicit equation and domain for a geometric sequence with a first term of 4 and a second term of -8?
Answer:
The explicit equation for the given geometric sequence is [tex]a_n=4(-2)^{n-1}[/tex]. The domain for the geometric sequence is all positive integers except 0.
Step-by-step explanation:
It is given that the first term of the geometric sequence is 4 and the second term is -8.
[tex]a_1=4,a_2=-8[/tex]
The common ratio for the sequence is
[tex]r=\frac{a_2}{a_1}=\frac{-8}{4}=-2[/tex]
The explicit equation for a given geometric sequence is
[tex]a_n=ar^{n-1}[/tex]
where, a is first term, n is number of term and r is common ratio.
The explicit equation for the given geometric sequence is
[tex]a_n=4(-2)^{n-1}[/tex]
Here n is the number of term. So, the value of n is must be a positive integer except 0.
Therefore the domain for the geometric sequence is all positive integers except 0.
round to the nearest hundred 5,503,569
Final answer:
To round 5,503,569 to the nearest hundred, observe the hundreds and the following digit. Since the following digit is a 9, round the hundreds digit up to 7 and zeros follow. The rounded number is 5,503,600.
Explanation:
To round the number 5,503,569 to the nearest hundred, we need to look at the digit in the hundreds place and the digit following it. In 5,503,569, the hundreds digit is 6, and the digit to its right is 9. According to rounding rules, if the digit right after the one we are rounding is 5 or greater, we round up. Since 9 is greater than 5, we round the hundreds place up from 6 to 7 and change all the digits to the right of the hundreds place to zero.
The final answer, therefore, is 5,503,600 when 5,503,569 is rounded to the nearest hundred.
michael found a job listed in the classified ads that pays a yearly salary of $57.3k what is the weekly salary based on this annual salary
The sum of two trinomials ________.
The value of the expression (2x^2)/(x) + x(100-15x) when x = 5 is
Answer:
[tex]\dfrac{2x^2}{x} + x(100-15x)[/tex] at x=5
135
Step-by-step explanation:
Given: The expression [tex]\dfrac{2x^2}{x} + x(100-15x)[/tex]
This is rational expression of variable x.
Put x=5 into the expression and then simplify
[tex]\Rightarrow \dfrac{2\cdot 5^2}{5} + 5(100-15\cdot 5)[/tex]
[tex]\Rightarrow 2\cdot 5 + 5(100-75)[/tex]
[tex]\Rightarrow 2\cdot 5 + 5\cdot 25)[/tex]
[tex]\Rightarrow 10+125[/tex] (Addition of two integer)
[tex]\Rightarrow 135[/tex]
Hence, The value of given expression is 135
CHECK MY ANSWERS PLS!!
Someone please help
What is the vertex of YVT
A) Q
B) V
C) Y
D) T
Answer:
The required vertex of ∠YVT is V
Step-by-step explanation:
To find : Vertex of ∠YVT
Vertex of an angle is defined as the point about which the corresponding angle is formed or measured.
Also, the angle is formed when two rays meet or intersect is each other. so the point of intersection at which the angle is formed is called the vertex of the angle thus formed.
Now, we need to find the vertex of ∠YVT
First check by which two lines the given ∠YVT is formed.
Now, from the diagram ∠YVT is formed by meeting of the lines YV and TV
And the point of meet is V therefore, the angle is formed at V
Hence, The required vertex of ∠YVT is V
A+b
A*b
A-b
A *divide sign*
Which one isn't closed
A company is creating a box without a top from a piece of cardboard, but cutting out square corners with side length x.
Which expression can be used to determine the greatest possible volume of the cardboard box?
(x−10)(x−30)x
(10−2x)(30−2x)x
(10−x)(30−x)x
(30x−10)(10x−30)
Answer:
(10−2x)(30−2x)x
Step-by-step explanation:
I know how to explain it, but the other person's answer already has a good explanation. I'm just confirming this to be correct! :D
An equation has solutions of m = –5 and m = 9. Which could be the equation?
Answer:
[tex]y=m^2-4m-45[/tex]
Step-by-step explanation:
An equation has solutions of m = –5 and m = 9
WE are given with the solution. Lets write the solution as factors
When x=a is a solution then factor is (x-a)
[tex]m=-5[/tex] is a solution. change the sign of the solution while writing factor. factor is (m+5)
[tex]m=9[/tex] is a solution, factor is (m-9)
we use the factors to find the equation
[tex]y=(m+5)(m-9)[/tex]
Multiply the factors using FOIL method
[tex]y=m^2-9m+5m-45[/tex]
[tex]y=m^2-4m-45[/tex]
Emanuel used the calculations below to find the product of the given fractions. In which step did his error occur?
Answer:
Emanuel made huis mistake in first step and step 1 is incorrect.
Step-by-step explanation:
The given expression is
[tex](\frac{3}{5})(\frac{4}{9})(-\frac{1}{2})[/tex]
It can be written as
[tex]\frac{3}{5})(\frac{4}{9})(\frac{-1}{2}[/tex]
Step 1: [tex](\frac{(3)(4)(-1)}{(5)(9)(2)})[/tex]
Emanuel used negative sign with both numbers 1 and 2. Therefore the first step of Emanuel is incorrect.
Step 2: [tex]\frac{-12}{90}[/tex]
Step 3: [tex]\frac{-2}{15}[/tex]
Therefore Emanuel made huis mistake in first step and step 1 is incorrect.
Isaac read a total of 20 books over 5 months. After belonging to the book club for 7 months, how many books will Isaac have read in all? Assume the relationship is directly proportional.
(easy question i just forgot how to do it lol)
20 books / 5 months = 4 books per month
4 books * 7 months = 28 books total
Determine if conjecture: True or False
The difference between two negative numbers is always negative
False, because the difference between two negative numbers is not always negative.
Here,
Given that, The difference between two negative numbers is always negative.
We have to prove this statement is true or false.
What is Negative number?
In the real number system, a negative number is a number that is less than zero.
Now,
We can prove it false with a counter example.
Let two negative number -6 and -8.
Hence, difference between -6 and -8 is,
⇒-6 - ( -8 )
⇒-6 + 8
⇒2
it is not negative number.
Hence, the difference between two negative numbers is not always negative.
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Each side of this pentagon is the same length.
How many lines of symmetry does this pentagon have?
A.
0
B.
2
C.
3
D.
5