When x = 10, the value of z is approximately 801.12.
If we know that z varies directly with the square of y and that y varies inversely with x, we can write the following equations:
z = ky² (Equation 1)
y = k'/x (Equation 2)
where k and k' are constants.
We are given the values of (x, y, z) as (20, 120, 200). Let's use these values to solve for the constants k and k'.
From Equation 2, when x = 20 and y = 120:
120 = k'/20
k' = 2400
Now we can substitute k' back into Equation 2:
y = 2400/x (Equation 3)
Now, we can substitute Equation 3 into Equation 1:
z = k(2400/x)²
To find the value of z when x = 10:
z = k(2400/10)²
= k(240)²
= 57600k
To find the value of k, we can substitute the given values of (x, y, z) into Equation 1:
200 = k(120²)
200 = 14400k
k = 200/14400
k ≈ 0.0139
Now we can substitute k back into the expression for z:
z = 57600k
z = 57600 × 0.0139
z ≈ 801.12
Therefore, when x = 10, the value of z is approximately 801.12.
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a golfer claims that his average golf score at the course he plays regularly is less than 90. the correct hypothesis statement for this golfer to prove his claim would be
The correct hypothesis statement for this golfer to prove his claim would be:
\(H_{0} :u\geq 90\)
\(H_{1} :u < 90\)
The golfer claims that his average score is less than 90.
Therefore, the null hypothesis is the opposite of what he claims
Null hypothesis \(H_{0}\) is average score \(u\) is greater than or equal to 90:
\(u \geq 90\)
\(H_{0} :u\geq 90\)
Alternative hypothesis \(H_{1}\) is then the opposite of null hypothesis.
Hence alternate hypothesis \(H_{1}\) is u< 90
\(H_{1} :u < 90\)
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Blake’s Bowling Alley offers a special. Each game costs $2.50 and the shoe rental $2.00. Which equation below matches this situation
Answer:
2x + 2.50
Step-by-step explanation:
A game costs 2.50 to start, which is a constant, The 2x is how many players will be playing.
Solve the simultaneous equation.
The value of a = -2 and b = 3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: 3a - 5b = -26, a + 2b = 6
We have to solve this equation.
3a - 5b = -26...(1)
a + 2b = 6...(2)
Now we multiply equation (1) by 2 and equation (2) by 5 and we get
6a - 10b = -52....(3)
5a + 10b = 30....(4)
After solving equations (3) and (4), we get
11a = -22
a = -2
Now we put the value of 'a' in equation(3) and we get
6(-2) - 10b = -52
-10b = -52 + 12
-10b = -30
b = 3
Hence, the value of a = -2 and b = 3.
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Complete the explanation of how a model can help you solve surface area and volume problems. a____ shows faces and helps you find; a ____ helps you choose a base and height when finding_____.
a model can help you solve surface area and volume problems. a diagram shows faces and helps you find; a diagram helps you choose a base and height when finding Surface area.
A model can help you solve surface area and volume problems by providing visual representations and aiding in the determination of relevant measurements. Specifically, a "diagram" shows faces and helps you find the different sides or surfaces involved in the problem. It visually presents the shape and its various components, allowing you to identify and analyze the relevant areas or volumes.
A model can be in the form of a physical object or a digital representation. It shows faces and helps you find the different surfaces or sides of the object that contribute to its surface area. By visually observing the model, you can count the number of faces and determine their shapes and sizes, enabling you to calculate the total surface area accurately.
Furthermore, a model helps you choose a base and height when finding the volume of a three-dimensional object. It allows you to visualize the dimensions that define the object's shape and select appropriate measurements for the base and height. By manipulating the model or observing its features, you can determine the appropriate dimensions needed to calculate the volume correctly.
In summary, a model serves as a visual aid, providing a tangible representation of the object or shape. It shows faces, helping you identify the surfaces for surface area calculations, and assists in choosing a base and height when finding the volume of three-dimensional objects.
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PLS HELP ME I WILL MARK THE BRAINLIEST
Answer:
∠ ABC = 51°
Step-by-step explanation:
the inscribed angle ABC is half the measure of its intercepted arc AC , so
5x + 11 = \(\frac{1}{2}\) (16x - 26) ← distribute parenthesis
5x + 11 = 8x - 13 ( subtract 8x from both sides )
- 3x + 11 = - 13 ( subtract 11 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Then
∠ ABC = 5x + 11 = 5(8) + 11 = 40 + 11 = 51°
Find the unit rate for the cost of each energy drink if 5 energy drinks cost $15
$3 per energy drink
$5 per energy drink
$5.50 per energy drink
$75 per energy drink
After a robot stands up it is equally likely to step forward with its left foot or its right foot. which foot will it use for its first step?
!!!
There is an equal chance that the robot will use its left foot or its right foot for its first step.
We have,
When the robot stands up, there is no inherent bias or preference for it to use one foot over the other for its first step.
The robot is in a state of equilibrium, and there are no external factors influencing the choice of foot.
Since there is no inherent bias,
We can assume that the probability of the robot using its left foot for the first step is equal to the probability of it using its right foot.
Each foot has an equal chance of being selected for the first step.
In other words, the outcome of the robot's first step is random and unpredictable, and there is a 50% chance that it will use its left foot and a 50% chance that it will use its right foot.
Thus,
Each foot has an equal chance of being selected for the first step.
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In ΔWXY, x = 4.7 cm, y = 7.9 cm and ∠W=162°. Find the area of ΔWXY, to the nearest 10th of a square centimeter
The area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.
How to evaluate for the area of the triangleWhen two side length of a triangle and the angle between them is given, the area is half the multiplication of the two sides and the sine of the angle.
Area of the triangle = 1/2 × 4.7 × sin162
Area of the triangle = 11.4738/2
Area of the triangle = 5.7369.
Therefore, the area of the triangle ∆WXY is derived to be 5.7 to the nearest tenth.
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Which inequality is true?
5/6 < - 1/3
2 1/3 > 2 1/6
2 < - 2 1/2
1 1/4 > 1 1/3
Answer:
2 1/3>2 1/6 is the answers for the question
Step-by-step explanation:
please me as brainlest
A number is written with the following factorization: 2^2 × 3 × 5^4 × 11^2. Is this factorization a prime factorization? Explain why or why not. If it is not correct, give the correct prime factorization of the number.
It is a prime factorization because each base (2,3,5, and 11) is a prime number.
A prime number is one where the only factors of it are 1 and itself.
factors of 2 = 1 and 2factors of 3 = 1 and 3factors of 5 = 1 and 5factors of 11 = 1 and 11Instead of saying something like 11^2, we could write 11*11. Similarly, 5^4 could be written as 5*5*5*5. Though it's a good idea to use exponents so you make the prime factorization more compact and save time.
The '3' without an exponent is the same as 3^1. You'll often see that exponent of 1 left out. Again this is to save time.
A snail travels 5 meters in 20 minutes. He travels the same amount of time per meter. How long will it take him to travel 11 meters? First find how long it would take the snail to travel 1 meter?
Answer:
411Step-by-step explanation:
20:5=4 (minutes for 1 meter)
4*11=44 minutes for 11 meters
or
20 : 5 = x : 11
x = 20*11:5
x = 44
or
20:5* 11=44
You have a bouquet of flowers. All but two are roses, all but two are daisies, and all but two are tulips. How many flowers do you have
Answer: THE answer is 3
Step-by-step explanation: ^^^^
Please Help!!! 50 D).4x + 8y ≥ 50
Answer:
does anyone else miss their best friend ?? :C
Step-by-step explanation:
ZACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK COMEEEEEEEE BACKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
Answer:
U okay?
Step-by-step explanation:
Remy orders 5 pizzas. If each person gets 1/4 of a pizza, how many people can Remy feed?
Answer:5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Each pizza Remy can feed 4 people.
Remy has 5 pizzas.
4x5=20
how to determine if a binomial is a factor of a polynomial
A binomial is a factor of a polynomial has been determined by using the
polynomial division method.
To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:
Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.
Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.
Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.
Repeat the division process with the new polynomial obtained from the subtraction step.
Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.
If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.
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Which statement is true?
Answer: A
Step-by-step explanation:
Square root of 35 is 5.9161
Please I need help finding the answer to this question
(3²+5)*4
Answer:
56
Step-by-step explanation:
Use Order of Operations (PEMDAS- look it up if you don't know it)
(3 squared=9 because 3*3=9)
(9+5)*4
14*4
56
If a rectangle's width is at (5,0) and (-5,0) and the length is triple the width, what is the perimeter of the rectangle
If a rectangle's width is at (5,0) and (-5,0) and the length is triple the width, what is the perimeter of the rectangle
step 1
Find the width of rectangle
subtract the x-coordinates to calculate the width
W=5-(-5)
W=10 units
step 2
Find the length
Remember that
the length is triple the width
so
L=3W
L=3*(10)
L=30 units
step 3
Find the perimeter
the perimeter of rectangle is equal to
P=2(L+W)
substitute the values
P=2(30+10)
P=2(40)
P=80 units
the answer is
perimeter of rectangle is 80 units
Please help me with this! I do need it soon though, before tomorrow. I will give brainliest! also, is the graph i made correct? please let me know if i need to do it different!
I like to use Desmos Graphing Calculator. The attachment is what I get when I plug the inequalities in.
The part shaded mix blue and red is the solution
50% of the fruits collected were ripe. If 100 fruits were ripe, find the total number of fruits collected.
Answer:
200 fruits
Step-by-step explanation:
The questions states that 50% of the fruits were ripe, and that 100 fruits were ripe
Therefore: 100 = 50%
Which makes the total amount of fruits 200
Don't believe me? Reverse work:
200 / 2 = 100
200 = 100%, 100 = 50%
Select the correct answer.
If you roll a fair die twice, what is the probability of getting an even number at least once?
A.
0.75
B.
0.36
C.
0.5
D.
0.25
Answer:
A
Step-by-step explanation:
Got this right on edmentum
What is negation example?
Let's say we have an expression P^A then the negation of P^A will be not( P^A ). This is an example of negation.
As the name suggests negation means the negative of a term or expression and it comes under the branch of mathematical logical reasoning.
When not word is added in front of an expression it becomes the opposite , this is how we negate something. A statement is only admissible if it is always true or always false.
It is sometimes required in mathematics to find the inverse of a particular mathematical statement, this is when negation is used. Negation thus, refers to the process of determining the inverse of a given assertion.
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Please answer as soon as possible!!
Answer:
2.29
Step-by-step explanation:
First determine the square root of 17.8
√17.8 = 4.22
second, determine the value of \(1.3^{2.5}\) = 1.93
subtract 1.93 from 4.22
4.22 - 1.93 = 2.29
Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-shirts is represented with the function f(x) = 12x − 1,400. When the machine breaks, he pays $135 to have it fixed. How does that cost affect a graph of Keenan’s profit function?
Answer:
the graph shift down 135 units
Step-by-step explanation:
when there is no fixing cost:
f(x)=12x-1400
when there is fixing cost (0ne time): 12x-(1400+135)
the graph shift down 135 units
hope this helps!
Work out the volume of each of this prisms:
The volumes of right prisms are listed below:
Case A: 150 cm³
Case B: 525 m³
Case C: 429 m³
How to determine the volume of a right prism
The volume of right prism (V), in cubic length units, is always equal to the product of the base area (A), in square length units, and height (h), in length units:
V = A · h
There are three right prisms, whose areas are combinations of right triangles and rectangles. The area formulas are shown below:
Rectangle
A = w · l
Right triangle
A = 0.5 · w · l
Where:
w - Width, in length units.l - Length, in length units.The complete procedure is listed below:
Determine the base area.Calculate the volume of prism.Case A
A = 0.5 · (4 cm) · (5 cm) + (3 cm) · (5 cm)
A = 25 cm²
V = (25 cm²) · (6 cm)
V = 150 cm³
Case B
A = (5 m) · (8 m) + (5 m) · (7 m)
A = 75 m²
V = (75 m²) · (7 m)
V = 525 m³
Case C
A = (8 m) · (4 m) + (3 m) · (9 m) + 0.5 · (5 m) · (5 m)
A = 71.5 m²
V = (71.5 m²) · (6 m)
V = 429 m³
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DENTISTS The equation 2y=4692x+324,836 can be used to estimate the number of active dentists in the United States from 2001 to 2015 where x is the number of years since 2001 and y in the number of active dentists. Rewrite the equation in slope-intercept form and interpret the parameters of the equation in the context of the situation.
Slope-intercept form of the equation 2y=4692x+324,836 for x number of years since 2001 and number of active dentist is represented by y is given by y = 2346x + 162418.Parmeters are as follow:
Slope of the equation is given by 2346.y-intercept is given by 162418 which represent initial number of dentist.As given in the question,
Given equation is :
2y=4692x+324,836 __(1)
Slope-intercept form of the equation is given by :
Divide equation (1) by 2 we get,
y = 2346x + 162,418
x = number of years since 2001
y = number of active dentist
Standard form of slope intercept is
y = mx + c __(2)
Compare (1) and (2) to get the parameters ,
Slope m = 2346
y- intercept = 162,418
2346 multiply to x years gives number of dentist increase in x-years.
Therefore, Slope-intercept form of the equation 2y=4692x+324,836 for x number of years since 2001 and number of active dentist is represented by y is given by y = 2346x + 162418.Parmeters are as follow:
Slope of the equation is given by 2346.y-intercept is given by 162418 which represent initial number of dentist.Learn more about Slope-intercept form here
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How do I find the triangular formula of a pentagon
It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.
We have,
A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.
The formula for the area of a triangle is given by:
Area = 1/2 x base x height
where the base and height are two of the sides of the triangle.
If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:
Area = (5/4) x s² x tan(π/5)
where s is the length of one of the sides of the Pentagon.
Thus,
It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.
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Find the solution for this system of equations. 12x 15y = 34 -6x 5y = 3 x = y =
The solution for this system of equations. 12x+ 15y = 34 -6x+ 5y = 3
is (x,y) =(2/3, 8/5)
Given a system of equations,
12x + 15y = 34 ------(1)
-6x + 5y = 3 ------(2),
To solve this we use the elimination method
In the elimination method, you either add or subtract the equations to get an equation in one variable.
Equation (1) + 2 × Equation (2),
We get,
(12x+15y=34)+(-12x+10y=6)
⇒ 15y+10y=34+6
⇒ 25y=40
⇒ y=40/25
⇒ y=8/5
From equation (2),
⇒ -6x+5(y)=6
⇒ -6x+5(8/5)=6
⇒ -6x+8=6
⇒ -6x=-2
⇒ x=2/3
Hence the solution for this system of equations. 12x 15y = 34 -6x 5y = 3
is (x,y =(2/3, 8/5)
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eleven bands are to perform at a weekend festival. how many different ways are there to schedule their appearances?
It depends on the length of the festival, the length of each band's performance, and other factors. There could be any number of ways to schedule their appearances.
The number of ways to schedule the bands' appearances at the weekend festival depends on a variety of factors such as the length of the festival, the length of each individual band's performance, and the number and type of stages available.
For example, if the festival runs for two days and each band's performance is one hour, there could be a total of 22 hours of music, so eleven bands could each perform twice, once on each day.
Alternatively, if the festival has three stages and two of the stages are dedicated to different genres of music, then the bands could be scheduled to perform on those stages, with each stage hosting five bands each day.
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Simplify the expression. Explain each step.
6+ (5 + x)
6+ (5 + x) =
11
Expression
10
:: (5 + x) +6
Expression
:: 11+x
:: x + 30
Explanation
Add 6 and 5.
:: (6+5) + x
Property of Addition
Explanation
:: Commutative
:: Associative
The simplification of the expression 6 + (5 + x) is 11 + x
How to simplify expressions?6 + (5 + x)
Based on the associative property
= (6 + 5) + x
Add 6 and 5
= 11 + x
Associative property states that the rearranging of parenthesis in an expression will not change the result.
Commutative property on the other hand states that the numbers on which we operate can be interchanged or moved from their position without making any difference to the result.
Ultimately, the results of 6 + (5 + x) is 11 + x
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