The length of the hammer is given as follows:
30.36 cm.
How to obtain the length of the hammer?The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.
The sides in this problem are given as follows:
9 cm and 29 cm.
The length of the hammer is the hypotenuse, hence it is obtained as follows:
l² = 9² + 29²
[tex]l = \sqrt{9^2 + 29^2}[/tex]
l = 30.36 cm.
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state the converse, contrapositive, and inverse of each of these conditional statements. a) if it snows today, i will ski tomorrow. b) i come to class whenever there is going to be a quiz. c) apositive integer is a prime only if it has no divisors other than 1 and itself.
a) If it snows today, I will ski tomorrow.
Converse: If I ski tomorrow, it snows today.
Contrapositive: If I don't ski tomorrow, it doesn't snow today.
Inverse: If it doesn't snow today, I won't ski tomorrow.
b) I come to class whenever there is going to be a quiz.
Converse: Whenever I come to class, there is going to be a quiz.
Contrapositive: Whenever I don't come to class, there isn't going to be a quiz.
Inverse: Whenever there isn't going to be a quiz, I don't come to class.
c) A positive integer is a prime only if it has no divisors other than 1 and itself.
Converse: If a positive integer has no divisors other than 1 and itself, then it is a prime.
Contrapositive: If a positive integer is not a prime, it has divisors other than 1 and itself.
Inverse: If a positive integer has divisors other than 1 and itself, it is not a prime.
A mathematical conditional statement is a statement that presents a relationship between two statements, where one statement (the "condition") is only true if the other statement (the "conclusion") is also true.
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Determine whether the variable is qualitative or quantitative: Explain your reasoning_ State of residence Is the variable qualitative or quantitative? Explain your reasoning a. The variable is quantitative because state of residence describes an attribute or characteristic. b. The variable is qualitative because state of residence describes an attribute or characteristic c. The variable is qualitative because state of residence is found by measuring or counting d. The variable is quantitative because state of residence is found by measuring or counting:
To determine whether the variable is qualitative or quantitative, the reasoning for the following question will be:
a) qualitative, State of residence describes an attribute or characteristic, making the variable qualitative. Because the state of residence can be determined through measurement or counting, the variable is qualitative.
b) quantitative, The state of residence serves as a description of an attribute or characteristic, so the variable is quantitative. Since determining the state of residence requires measuring or counting, the variable is quantitative.
c) qualitative, Your variable will be quantitative if it is something like, say, your age or salary, which is typically something that can be discovered by counting or using mary-screw analysis. However, in this case, the state of residence is obviously a qualitative factor.
d) qualitative, If your variable is something like, say, your age or salary, or if it's something that is typically discovered by counting or Mary, then these kinds of variables are quantitative. But in this case, the state of residence is categorically important for this question.
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IM DONE IGV ME AN ANSWER PLS
Answer:
The answer should be 6.6 and -12.4. The first and last one. I wish you the best of luck!
Step-by-step explanation:
What is the area of the roof top garden?
Total area of the roof top garden is 272 ft² .
What is the garden's square foot size?Rooftop planters can have soil depths ranging from six inches at the very least, to allow for little groundcovers and shrubs, to three to four feet, which is necessary for huge shade and coniferous trees. Divide the length by the width of a rectangle or square to find its area.
The square footage of the area is calculated by multiplying the length and width. Please maintain the same unit size (feet or inches). For a rectangular garden area, multiply the length by the width to get the square footage. A suitable garden is often one that is roughly 10 feet by 10 feet, if your landscape permits it (3 x 3 meters).
Given, the figure comprises of triangle and rectangle,
Area of rectangle = length × breadth
= 12 ft × 20 ft
= 240 ft²
Area of triangle = 1/2 × base × height
= 1/2 × 8 × (20 - 12)
= 1/2 × 8 × 8
= 32 ft²
Total area of the figure = Area of rectangle + Area of triangle
= 240 + 32
= 272 ft²
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what is (3√6) (3√6)
An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The results were as follows: 875 drank alcohol regularly, 665 smoked cigarettes, 207 used illegal drugs, 422drank alcohol regularly and smoked cigarettes, 113 drank alcohol regularly and used illegal drugs,126 smoked cigarettes and used illegal drugs, 97 engaged in all three behaviors, and217 engaged in none of these behaviors.
a) How many students were surveyed?
nothing
According to the following Venn diagram, the number students surveyed is 2063
The term Venn diagram in math is defined as overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items
Here we have given that anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs.
While we looking into the Venn diagram we have identified that 875 drank alcohol regularly, 665 smoked cigarettes, 207 used illegal drugs, 422drank alcohol regularly and smoked cigarettes, 113 drank alcohol regularly and used illegal drugs,126 smoked cigarettes and used illegal drugs, 97 engaged in all three behaviors, and 217 engaged in none of these behaviors.
Then the number of students is calculated as,
=> 875 + 667 + 207 + 97 + 217
=> 2063
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Recently, students in a marketing research class were interested in the driving behavior of students. Specifically, the marketing students were interested in finding out if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students: Exceeds the Speed Limit Does Not Exceed the Speed Limit Male 40 25 Female 10 25 Based on the analysis, what can be concluded?a. Driving behavior and gender are correlated. B. Driving behavior and gender are not related. C. Driving behavior and gender are related. D. No conclusion is possible
Based on the analysis, we can be conclude that (C) Driving behavior and gender are related.
The link between variables is described by correlation. It can be viewed positively or negatively, as well as strong or weak. A correlation does not prove a cause. When the variable on the x-axis rises as the variable on the y-axis rises, there is a positive linear association. An upward-sloping straight regression line illustrates this.
When one variable rises while the other falls, there is a negative linear correlation. A straight regression line with a falling slope illustrates this. When there is a relationship between variables, but the relationship is not linear, there is a non-linear correlation (straight).
Hence, according to correlation theory, Driving behavior and gender are related.
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The cost of a stereo cable has dropped to $11 today. Yesterday's cost was $17 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
11 is a 35.3% decrease of 17.
17 - 11/((17 + 11)/2) = 6/14 = 0.42857142857143 = 42.857142857143%
In 2020, the average temperature in some parts of the Artic was about -19.3F. The temperature in the arctic increased about 0.135 degrees per year in the last decade. If the Artic continues to warm at the same rate, what will the average temperature be in 2050?
The number of years from 2020 to 2050 will be 30 years. Then the average temperature in 2050 will be - 15.25 °F.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
In 2020, the normal temperature in certain pieces of the Artic was about - 19.3F. The temperature in the cold expanded around 0.135 degrees each year somewhat recently.
Let 'x' be the number of years and 'y' be the temperature. Then the equation is given as,
y = 0.135x - 19.3
The number of years from 2020 to 2050 will be given as,
x = 2050 - 2020
x = 30
Then the average temperature in 2050 will be given as,
y = 0.135(30) - 19.3
y = 4.05 - 19.3
y = - 15.25F
The number of years from 2020 to 2050 will be 30 years. Then the average temperature in 2050 will be - 15.25 °F.
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What are the domain and range of the function y=f(x) as shown on the graph?
For the graphed function we have:
The domain
D: {-3, -2, -1, 0, 1, 2}
And the range
R: {0.25, 0.5, 1, 2, 4, 8}
What are the domain and the range of the function?For a function y = f(x), we define the domain as the set of possible inputs and the range as the set of possible outputs.
Remember that the notation in point form is (input, output).
Now, the graphed points are:
(-3, 8), (-2, 4), (-1, 2), (0, 1), (1, 0.5), (2, 0.25)
The domain is the set of the first values:
D: {-3, -2, -1, 0, 1, 2}
And the range is the set of the second values:
R: {0.25, 0.5, 1, 2, 4, 8}
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regular milk has 4% butterfat. how many litres of regular milk must be mixed with 90 l of milk with 1% butterfat to have milk with 2% butterfat?
20 litres of regular milk must be mixed with 90 l of milk with 1% butterfat to have milk with 2% butterfat.
From the data given,
Let us assume that the x litres of regular milk which have 4% butterfat is mixed.
The amount of butterfat in 40 L of milk with 1% butterfat will be = (40*.01)=0.4 L
The amount of butterfat in x L of milk with 4% butterfat will be =x *0.04=0.04 x
The amount of butterfat in (40+x) L (when both are mixed) of milk with 2% butterfat will be =(40+x)*(0.02)=0.02(40+x)
Since we are aware that the total quantity of butterfat in each type's individual milk will match the total amount of butterfat in the final milk.
Therefore we can set up the equation which will be like this:
0.4+0.04 x=0.02(40+x)
Now solving the above equation for getting the value of "x"
0.4+0.04 x=0.02(40+x)
=>0.4+0.04x=0.8+0.02x
=>0.04x-0.02x=0.8-0.4
=>0.02x=0.4
=>x=(0.4/0.02)=20
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To make milk with 2% butterfat, 20 liters of ordinary milk must be combined with 90 liters of 1% butterfat milk.
Assume that 4% butterfat normal milk in an amount of X litres is combined. 40 L of milk with 1% butterfat will contain (40 x 0.01)=0.4 L of butterfat. In X L of milk containing 4% butterfat, the amount of butterfat is equal to =(X liter) x (0.04)=0.04 X.
When both are combined, (40+X) L of milk with 2% butterfat will contain =(40+X)*(0.02)
=0.02(40+X) grams of butterfat.
We know that the overall amount of butterfat in each type's individual milk will be the same as the total amount of butterfat in the finished milk.
As a result, we may construct the equation, which looks like this:
0.4+0.04X = 0.02(40+X)
To find the value of "X," solve the equation above.
0.4+0.04 X=0.02(40+X)
= 0.4+0.04X=0.8+0.02X
= 0.04X-0.02X=0.8-0.4
= 0.02X=0.4
= X=(0.4/0.02)
= 20
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how many variables are in the data set? b. which of the following variables are categorical, and which are quantitative? overall score - select your answer - recommended - select your answer - owner satisfaction - select your answer - overall miles per gallon - select your answer - acceleration () sec - select your answer - c. what percentage of these vehicles are recommended? round your answer to one decimal place. d. what is the average of the overall miles per gallon across all vehicles? round your answer to one decimal place.
All parts of the problem given have been explained and provided below.
Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.
So, the variables in this given dataset are;
Overall score
Recommended
owner satisfaction
Overall miles per gallon
Acceleration (0-60) sec
Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.
the categorical variables in this dataset are,
Recommended
Owner satisfaction
Quantitative variables are those which can be measured in an order to provide information about an object.
the quantitative variables in this dataset are,
Overall score
Overall miles per gallon
Acceleration (0-60) sec
In the given dataset, 7 vehicles are recommended,
So their percentage would be,
7/15 × 100 = 46.67%
The average overall miles per gallon of these 15 vehicles is 25.4.
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Help me!!!! can you please help I really need it by tomorrow please please please please help me
Answer: I believe it's 30 vehicles
Step-by-step explanation:
If you divided by 40 you get 30. There's for 4 rows of 10 which is 40 so you would divide, I think? I hope this helps! Been so long since I did this math.
What is 223,692 divided by 42 using the standard algorithm and showing work?
The value of 223,692 divided by 42 using the standard algorithm and showing work is 5326.
What is the value of 223,692 divided by 42 using the standard algorithm and showing work?The value of 223,692 divided by 42 using the standard algorithm and showing work is given below:
Dividing the two values by 2, a common factor
223,692 / 42 = 111,846 / 21
Dividing the two values by 3, a common factor
111,846 / 21 = 37282 / 7
Dividing the two values by 7, a common factor
37282 / 7 = 5326 / 1
Hence, the value of the division is 5326.
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Find two positive and two negative angles that are coterminal with the quadrantal angle 0= -540° such that each angle lies between -1080° and 720°.
The two positive angles are
(Use a comma to separate ariswers as needed.)
The two positive coterminal angles are 180° and 540°, the two negative ones are -900° and -180°.
How to find the coterminal angles?
For any given angle A, the family of coterminal angles can be written as:
B = A + n*360°
Where n can be any integer number.
Here we want to find angles coterminal to -540°, so we have the relation:
B = -540° + n*360°
if n = -1 we get:
B = -540° - 1*360° = -900°
if n = 1
B = -540° + 1*360° = -180°
if n = 2
B = -540° + 2*360° = 180°
if n = 3
B = -540° + 3*360° = 540°
These are the 4 coterminal angles on the given range.
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Al repartir pastelitos entre 7 niños cada uno le tocaron un pastelito completo y 3/7 de otro cuanto pastelitos reparto?
Answer: 10 magdalenas
espero que esto ayude
(/8-/+)+(/++/4) find the sum plsss
The sum of the fraction given for the sum of 7/8 and 1/4 will be 1 1/8.
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
It should be noted that the sum of 7/8 and 1/4 will be:
= 7/8 + 1/4
= 7/8 + 2/8
= 9/8
= 1 1/8
Therefore, the sum is 1 1/8.
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Complete question
7/8 + 1/4. Find the sum.
In the figure, ABFG and CDEF are two
parallelograms such that the sum of their areas
702m square. AB = CD = EF = FG = 1/2BC find the
area of the shaded region
,
The area of the shaded region is 251 m^2.
the solution is attached with this,
parallelograms
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other.
The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
It is a type of polygon having four sides, where the pair of parallel sides are equal in length.
polygon
A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges.
The points where two sides meet are the vertices of a polygon.
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Could someone please help? Thanks
what do you want help with?
What is the GCF of 8xy and 12x all i want is the answer
Find the Perimeter of the figure below, composed of a rectangle and a
semicircle. Round to the nearest tenths place.
4
6
Check the picture below.
so the rectangle's perimeter is pretty much just 4 + 6 + 6 = 16, now let's notice the semi-circle, is really just half of a circle whose diameter is 4, meaning that its radius is 2, so let's simply get the circumference of that semi-circle and add it to 16.
[tex]\textit{circumference of a semi-circle}\\\\ C=\cfrac{1}{2}\cdot 2\pi r \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2 \end{cases}\implies C=\cfrac{1}{2}\cdot 2\pi (2)\implies C=2\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Perimeter}{16~~ + ~~2\pi} ~~ \approx ~~ \text{\LARGE 22.3}[/tex]
a hospital director believes that 75% of the lab reports contain errors. a sample of 140 reports found 98 errors. is there sufficient evidence at the 0.10 level to refute the hospital director's claim? state the null and alternative hypotheses for the above scenario.
For the scenario, the null and alternate hypotheses are as follows:
H(0) : p = 0.75
H(a) : p ≠ 0.75
In the question, a hospital director believes that 75% of the lab reports contain errors.
A sample of 140 reports found 98 errors.
We have to explain there is sufficient evidence at the 0.10 level to refute the hospital director's claim or not and we have to state the null and alternative hypotheses for the above scenario.
In statistics, a two-tailed test is a procedure that determines if a sample is larger than or less than a particular range of values by using a two-sided critical area of a distribution. It is utilized in tests for statistical significance and null hypotheses.
So this is a two tailed test.
The null and alternative hypotheses for the above scenario is:
H(0) : p = 0.75
H(a) : p ≠ 0.75
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A figure is rotated 180 degrees clockwise about the origin. Which statement is true about the rotated figure?
(a) It is a different shape and size from the figure.
(b) It is the same shape as the figure but is larger.
(c) It is the same shape and size as the figure.
(d) It is the same shape as the figure but is smaller.
The shape and size remains the same represents the correct alternative.
What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size and shape of the figure stays exactly the same.Given is that a figure is rotated 180 degrees clockwise about the origin.
When a coordinate (x, y) is rotated by 180 degrees clockwise about the origin, the new coordinates become ( - x, - y). But only the coordinates change, the shape and size remains the same.
Therefore, the shape and size remains the same represents the correct alternative.
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Solve for a. a> a+4 ○ a > 21/1/20 O O a -7
The inequality expression has no solution for a
How to determine the solution of aFrom the question, we have the following parameters that can be used in our computation:
a > a + 4
Subtract the variable a from both sides of the equation
So, we have the following representation
a - a > a + 4 - a
Evaluate the difference
This gives
0 > 4
The above expression is false
hence, the inequality has no solution
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Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.
|6x – 4| = 6
A.
6x + 4 = 6 and 6x – 4 = –6;
B.
6x + 4 = 6 and 6x – 4 = –6;
C.
6x – 4 = 6 and 6x – 4 = –6
D.
6x – 4 = 6 and 6x – 4 = –6;
The solution to the absolute value equation |6x – 4| = 6 is 6x - 4 = 6 and 6x - 4 = -6
What is an equation?An equation is an expression that shows the relationship between numbers and variables.
The absolute value of a real number x is the non-negative value of x without regard to its sign.
Given the absolute value equation:
|6x - 4| = 6
Therefore, the absolute equation can be represented by:
6x - 4 = 6 and -(6x - 4) = 6
Simplifying:
6x - 4 = 6 and 6x - 4 = -6
adding like terms:
6x = 10 and 6x = -2
x = 5/3 and x = -2/3
The solution to |6x – 4| = 6 is x = 5/3 and x = -2/3
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(Simple)......Classify the transformation pls
Answer:
a
Step-by-step explanation:
as u pit it in the mirrror and u can see
Tammy is selling tickets for the school jazz band concert. Adult tickets cost $5, and student tickets cost $3. If
Tammy sells a total of 130 tickets and collects $462, how many of each kind ofticket did she sell?
Answer:
36 adult and 94 student tickets
Step-by-step explanation:
x = adult ticket y = student ticket
5x + 3y = 462
x + y = 130
x + y = 130
y = 130 - x
5x + 3y = 462
5x + 3(130 - x) = 462
5x + 390 - 3x = 462
2x + 390 = 462
2x = 72
x = 36
x + y = 130
36 + y = 130
y = 94
A plumber is cutting pieces of pipe that are 3.27 meters long. The pipe must be within 0.07 meters of the required length. Write and solve an absolute value inequality to find the range of the length of pipe.
The range of the length is 3.2 meters to 3.34 meters
How to determine the range of the lengthFrom the question, we have the following parameters that can be used in our computation:
Length of pipe = 3.27 meters
Relative error = 0.07 meters
Represent the range with x
So, we have
|x - Length| = Relative error
substitute the known values in the above equation, so, we have the following representation
|x - 3.27| = 0.07
Remove the bracket
x - 3.27 = 0.07 or x - 3.27 = -0.07
Evaluate
x = 3.2 or x = 3.34
Hence, the range is 3.2 meters to 3.34 meters
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dr. edward jenner realized that cows have a disease called cowpox, which is like a disease that infects humans called smallpox; jenner noticed that milkmaids whose hands were infected with cowpox were not contracting smallpox. jenner infected a child with the pus from a cowpox blister, and found that the child did not contract smallpox. which statement represents a supporting hypothesis?
The cowpox infection will prevent the child from being infected by the small pox virus.
What is hypothesis?Hypothes is a tentative assumption made in order to draw out and test its logical or empirical consequences
A simple hypothesis suggests only the relationship between two variables: one independent and one dependent. Examples: If you stay up late, then you feel tired the next day. Turning off your phone makes it charge faster.
Given paragraph is "dr. edward jenner realized that cows have a disease called cowpox, which is like a disease that infects humans called smallpox; jenner noticed that milkmaids whose hands were infected with cowpox were not contracting smallpox. jenner infected a child with the pus from a cowpox blister, and found that the child did not contract smallpox."
In this supporting hypothesis is "The cowpox infection will prevent the child from being infected by the small pox virus."
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11. Randy is painting part of a wall, excluding the two corners shown in white. A gallon of paint will cover 100 square feet. How many gallons of paint will Randy need to purchase?
970
-
T
6 ft
1
20 ft
Answer: The wall that Randy is painting is 20 feet long and 6 feet high. The two corners that he is not painting are triangular in shape and are each 6 feet high and 4 feet wide.
So the area of the wall that Randy is going to paint is:
20 ft * 6 ft = 120 sq ft
The area of the two corners that Randy is not painting is:
(1/2) * 4 ft * 6 ft = 12 sq ft
Therefore, the total area that Randy needs to paint is:
120 sq ft - 12 sq ft = 108 sq ft
One gallon of paint will cover 100 square feet.
So Randy will need to purchase 108 sq ft / 100 sq ft/gallon = 1.08 gallons of paint.
Randy will have to purchase 1.08 gallons of paint.
Step-by-step explanation: