The statement that is true on the bowling alley charges and the additional cost for renting bowling shoes is The description shows a linear relationship, but not a proportional relationship.
What is a linear relationship?In a linear relationship, the values of the two variables can be drawn on a graph such that they form a line. There would often be a y-intercept and then a slope or a constant rate of change. In this case the constant rate of change is the $15 per game and the additional cost to rent bowling shoes is the y-intercept. This is therefore a linear relationship.
A proportional relationship would have a constant rate of change but there would be no y - intercept. As there is a y - intercept in this scenario, this is not proportional.
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Answer: A: The description shows a linear relationship, but not a proportional relationship.
Please help! The total cost after tax to buy floor tiles is represented by 14f+0.096(14f), where f represents the number of square feet of tile are need to cover the floor.
a. What part of the expression represents the amount of tax that must be paid? Explain. (3 pts)
b. What would the expression be if the cost per square foot was $15 (plus tax)? (3 pts)
Considering the expression in this problem, it is found that:
a) The part of the expression that gives the amount of taxes that has to be paid is: 0.096(14f).
b) The expression would be of: C(f) = 15f + 0.096(15f).
What is the meaning of the expression?The expression for the total cost in this problem is presented as follows:
C(f) = 14f + 0.096(14f).
The meaning of each term is given as follows:
14f means that the cost of each square feet of tile is of 14 f.0.096 x 14f means that an additional 0.096 = 9.6% is paid of tax for each square feet of tile purchased.If the cost per square foot was of $15 instead of $14, the complete expression would be as follows:
C(f) = 15f + 0.096(15f).
That is, the two instances of 14 in the equation were replaced by 15.
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Evaluate f(x) = 2|x – 5| for f(–5) and f(0).
Question 20 options:
f(–5) = 10, f(0) = 0
f(–5) = 12, f(0) = 5
f(–5) = –20, f(0) = –2
f(–5) = 20, f(0) = 10
Answer:
D
Step-by-step explanation:
f(-5) = 2|-5-5|
f(-5) = 2|-10|
f(-5) = 2 * 10
f(-5) = 20
f(0) = 2|0-5|
f(0) = 2|-5|
f(0) = 2 * 5
f(0) = 10
Given the circle below with chords ST and UV. Find the length of TW. Round to the nearest tenth if necessary.
Answer:
TW = 16.8
Step-by-step explanation:
When two chords of a circle intersect inside the circle, then the product of the lengths of the chords of one segment equals the product of the lengths of the segments of the other chord.
Here,
TW × WS = UW × WV
TW × 30 = 18 × 28
TW = (18 × 28)/30
TW = 16.8
The value of TW is 16.8 in a circle.
What is a chord of a circle?The product of all the chord values of one segment, where two chords from a circle cross from within the circle, equaled the product of the chord measures of each additional segment. The value of the cord will be the distance with respect to the circle that is present in the circle.
The value of WS = 30
The value of UV = 18
The value of WV = 28
The value of TW is:
TW × WS = UW × WV
TW × 30 = 18 × 28
TW = (18 × 28)/30
TW = 16.8
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Use the real number line shown below to complete each statement.
The letter best represents −0.1525.
The letter best represents 9
5
.
The letter best represents −1
5
.
A number line goes from negative 0.5 to positive 1.8 and shows points negative 0.5, 0, positive 0.5, 1, and 1.5. Marks divide the space between each number into 5 equal parts. Point a is on the third mark and point b is halfway between the third and fourth mark to the right of negative 0.5, point c is on the second mark after 0, point d is between the second and third mark after positive 1, point e is on positive 1.5, and point f is on the third mark after positive 1.5.
Based on the real number line shown below, each statement should be completed as follows:
The letter b best represents −0.1525.The letter f best represents 9/5.The letter a best represents −1/5.What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
Therefore, both -0.1525 and -1/5 would be represented by the letters that are on the left hand side of the real number line while 9/5 would be represented by a letter that is on the right hand side, which are letters b, a, and f respectively;
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Place a. Point on the number line to show the value that is 1/10 of 0.5
The value of 1/10 of 0.5 lies between 0.1 and 0.2
What is Number line?A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.
Given:
Point on the number line to show the value that is 1/10 of 0.5
So, 1/10 of 0.5
= 1/10 x 0.5
= 0.05
Hence, the value of 1/10 of 0.5 lies between 0.1 and 0.2
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If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 3.
The probability is
The probability that the sum of the dice is 9 is, 4/33.
What is dice?
Dice are little, thrown-away devices with marked sides that can rest in various locations. They are frequently employed in tabletop games including dice games, board games, role-playing games, and games of chance to provide random values.
Let two fair dice are rolled.
So the possible number of outcomes are,
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4,6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
There are total 36 outcomes.
There are 33 outcomes with sum greater than 3.
The outcomes with sum greater than 9 are, 4 which are (3, 6), (4, 5), (5, 4) and (6, 3).
Hence, the probability that the sum of the dice is 9 is, 4/33.
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The solid rectangular prism shown below was built by alternating congruent black cubes and white cubes such that 2 cubes of the same color have at most 1 side touching. What is the total number of white cubes that were used to build the prism?
Answer:34?
Step-by-step explanation: not too sure but yeah
A biology class examined some flowers in a local meadow. They saw 60 flowers, of which 70% were perennials. How many perennial flowers did the students see?
The number of perennials flower from 60 flowers seen by the students with of which 70% were perennials flowers is 42.
What is perennial flower?Perennials Flowers are plants that live more than two years.
To calculate the amount of perennial flowers seen by the students, we use the techniques of percentage.
Using the formula,
P = N(q)/100............. Equation 1Where:
P = Number of perennial flowers seen by the studentsN = Total number of flowers seenq = Percentage of perennials flowers from the total number of flowers seen.From the question,
Given:
N = 60 flowersq = 70%Substitute these values into equation 1
P = (60×70)/100P = 42.Hence, the number of perennials flower is 42.
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the population etiologic fraction is a measure of the proportion of the disease rate in a population attributable to the exposure of interest. this measure of effect is influenced by:
The relative risk of the disease influences this measure of effect in exposed individuals versus unexposed individuals and the prevalence of exposure in the population.
As stated, the population etiology fraction measures the disease rate in a population attributable to the exposure of interest. A measure that is primarily determined by the exposure caused by a particular disease. Therefore, it may be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals, as well as the prevalence in the population of the exposure.
An epidemiological tool is the Population Attributable Risk, also called the Etiologic Fraction or Attributable Fraction. Efforts to eliminate a given risk factor would be expected to reduce the attributable risk to a specific percentage. The attributable risk of disease is calculated by combining the relative risk for a given exposure with the prevalence of the exposure in the population.
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For the equation if the parabola y=3x^2-x-2 find the extremum and determine whether it is a minimum or a maximum
PLEASE PLEASE PLEASE
Format: The minimum is y(__)=__
The extrema of the quadratic equation is at the vertex, and it is a minimum at:
y = -1.75
How to find the extremum of the parabola?Here we have the following quadratic equation:
y = 3x^2 - x - 2
We can see that the leading coefficient (the coefficient in the term with the largest exponent) is positive, this means that the parabola opens upwards.
This means that the vertex of the quadratic equation will be a minimum.
Remember that for a quadratic equation:
y = a*x^2 + b*x + c
The vertex is at:
x = -b/2a
So for our quadratic, the vertex is at:
x = -1/(2*3) = -1/6
Evaluating the quadratic equation there we get:
y = 3*(-1/6)^2 - (-1/6) - 2
y = -1.75
That is the minimum of the quadratic.
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a shipment of 12 television sets contains 3 defective sets. in how many ways can a hotel purchase 5 of these sets and receive at least 2 of the defective sets?
The hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the defective sets.
Define the term combination?Combinations are mathematical operations that count the total number of possible configurations for a set of elements is when order of said selection is irrelevant.As per the stated question.
You can select five television from a possible twelve in the sample space.
To acquire at least 2 faulty, therefore:
¹²C₅ = 12!/(7!)(5!) =12*11*10*9*8/(5*4*3*2*1)
¹²C₅ = 11*9*8
Obtaining two or three defective items. (At least 2).
2 defective items are-
(³C₂)(⁹C₄) = 3*9*8*7*6/(4!)
(³C₂)(⁹C₄) =9*7 =63
Three defective items equal -
(³C₃)(⁸C₂) = 1*8*7/2!
(³C₃)(⁸C₂) = 56
Total defective items is 63+56= 119 ways.
Probability = 119/(11*9*8)
Probability = 119/792
Thus, a hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the flawed sets.
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Hey, I haven't been able to get any of these right, I wasn't a there the day we learned this and i'm needing help getting the rest of it done before 3:00. Could any of you please help me out on this, it'd mean a lot!
The correct graph for each of the equations are respectively;
5) Graph C
6) Graph A
7) Graph B
How to Interpret Linear Equation Graphs?The general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
5) We are given the linear equation as;
-9x + 3y = 0
3y = 9x + 0
y = 3x + 0
The slope is 3 and y-intercept is zero. Thus, the correct graph for this function is; Graph C
6) We are given the linear equation as;
4x - 6y = 12
Rearranging we have;
6y = 4x - 12
y = ⁴/₆x - 2
y = ²/₃x - 2
Thus, slope is 2/3 and y-intercept is -2. The correct graph is graph A
7) The correct graph of the function 25x - 10y = -50 is the graph B.
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Suppose the temperature in your town is 88°F and rising 1.5°F every hour, h. In how many hours will the temperature be over 100°F? Write an inequality representing the situation. Solve the inequality.
Find the value of the variables in each figure. Explain your reasoning.
The value of the variables x and y in each figure are 28 and 46.3 respectively.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Therefore,
5x + 40 = 180,
5x = 180 - 40
5x = 140
x = 28
Also,
(3y-1 ) and 40 are corresponding angles, thus
40 + 3y - 1= 180 ,
3y = 180 - 40 + 1
3y = 139
y = 46.3
Thus, the value of the variables x and y in each figure are 28 and 46.3 respectively.
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Explain+how+you+csn+use+similar+triangles+to+find+a+missing+measurement.++Write+a(n)+that+uses+the+missing+measurement+because+the+++are++
You can use similar triangles to find missing measures according to proportional relationships.
What are similar triangles?Similar triangles are two triangles that share these two features listed as follows:
Same angle measures.Proportional side lengths.The second feature, the proportional side lengths, is what is used to find the missing measures, as proportional relationships are built according to them.
When two triangles are similar, the equivalent side lengths have to be identified for the two triangles, and those are the sides that have the same angle measures.
Then, for the two triangles, the equivalent sides will have proportional lengths, and then these equations will involve a missing length. Then cross multiplication is applied and the equation can be solved for the missing length.
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help quick!!
Find the equation of the Axis of symmetry and the coordinates of the vertex of the graph of each function
y = 4x² – 2
Answer: (0,-2)
Step-by-step explanation: just multiply
Please help i need this today.
Answer:
option c this is no solution for the equations
Answer:
x=5 y=-8 the calc are in the photo
3c + bc - 2a if a=6,b=4, and c=10
Answer:58
Step-by-step explanation:
13. In the figure, PSR is a straight line. Find RSQ and PQS.
The angle RSQ = 105° and angle PQS = 78°
Given,
In the question:
In the figure,
PSR is a straight line .
To find the angle RSQ and angle PQS.
Now, According to the question;
In ΔQRS,
we know that :
Sum of angle of triangle is 180 degree.
Angle (SQR + QRS + RSQ) = 180°
In the figure,
Angle (23° + 52° + RSQ) = 180°
75° + ∠RSQ = 180°
∠RSQ = 180 - 75
∠RSQ = 105°
We have to find the ∠PQS
Now, PSR is a straight line
In Triangle PSQ
Find the ∠S
105 + ∠S = 180° (Linear Pair)
∠S = 75°
In ΔPQS
Angle(SPQ + PQS + QSP) = 180°
Angle(27° + PQS + 75° ) = 180°
∠PQS = 180 - 102
∠PQS = ∠78°
Hence, The angle RSQ = 105° and angle PQS = 78°
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Match the following definitions with the correct term.
Answer:
that's biology but
Step-by-step explanation:
autotrophs make their owner food
heterotrophs can't make their own food
photosynthesis is the 3rd one
photosynthesis happens in the chloroplast
photosynthesis makes glucose
I can go in depth about any of these, ask me if needed
find the number that is 33 greater than twice the opposite of itself
Answer:
11
Step-by-step explanation:
x = 2(-x) + 33
x = -2x + 33
x + 2x = 33
3x = 33
3/3 x = 33/3
x = 11
Maria was memorizing her lines for a play. There were 8 pages to memorize, and she had 4 lines on each page. How many lines did Maria memorize in all?
in rocky mountain national park, many mature pine trees along highway 34 are dying due to infestation by pine beetles. scientists would like to use a sample of size 200 to estimate the proportion of the approximately 5000 pine trees along the highway that have been infested. describe how to select a systematic random sample of 200 pine trees along highway 34.
The given alternate possible way given in the question is not good as the sample does not follow the conditions of the definition of SRS in the study.
SRS is a group or sample size of "n" objects in a population of "n" objects in which all the possible samples would have equal chances to occur or happen.
In the alternate case, There 200 trees sample is taken from near the highway, that can have fewer chances to be infected or can have more infected.
The fact that the sample was not taken randomly and has not been selected in such a way that each tree has equal chances to happen.
The SRS is not possible to obtain as it does not follow the term and conditions of SRS.It creates a bias in the study.Hence we get the required answer.
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Help? Fractions/visual
3/3 * 3/4 is fraction of green color .
What is fraction in math?
Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.green colored boxes = 3
blue colored boxes = 3
fraction of green = 3/3 * 3/4
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Math 8
Writing Equations from a Graph
Date
Find the slope, y intercept and two points on each line. Then write the equation for each line.
Answer:
1. y=2x+4
2. y=x
3. y=-1/2x+1
4. y=-x+1
Step-by-step explanation:
the formula for these are y=mx+b. Your slope would be m and y intercept would be b. so y=2x+4 would mean that the slope is 2 and y intercept is 4. you can find the points by checking what points are on the blue line.
find the value of the expression when a=2 and b=7
The value of the expression when a=2 and b=7 is 41.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
From the information, the expression given is 3a + 5b and we want to find the value of the expression when a=2 and b=7.
This will be illustrated thus:
= 3a + 5b
= 3(2) + 5(7)
= 6 + 35
= 41
The value is 41.
The complete question is given below.
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Complete question
The expression given is 3a + 5b. Find the value of the expression when a=2 and b=7
Can anyone write the equation of the graph?
The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.
How to Determine the Equation of the Graph of an Absolute Value Function?The equation that represents the absolute value function is expressed in in vertex form as y = a|x – h| + k, here, the vertex of the graph of the absolute value function is (h, k), while the value of a determines if the graph opens up or opens down.
The point (3, 5) is the vertex of the graph, therefore:
(h, k) = (3, 5)
Plug in h = 3 and k = 5 into, y = a|x – h| + k:
y = a|x - 3| + 5
Find the value of a, by substituting the values of the coordinates of a point on the graph, (x, y) = (5, 7), into the equation y = a|x - 3| + 5:
7 = a|5 - 3| + 5
7 = 2a + 5
2 = 2a [subtraction property]
1 = a [division property of equality]
a = 1
Substitute the value of a into the equation y = a|x - 3| + 5:
y = |x - 3| + 5 [equation of the graph].
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A chess board is made using the ratio of square length to king's height, 2.5 inches to 4.5 inches. If a chess board is made with a king's height of 2.25 inches, what is the length of the square? 0.75 inch 1.25 inches 2.25 inches 4.75 inches
The length of the square, given the height of the King, can be found to be 1.25 inch.
How to find the height?The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.
If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height
Solving gives us:
= (2 . 25 x 2 . 5 ) / 4.5
= 5.625 / 4. 5
= 1.25 inches
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to test whether the overall regression equation is statistically significant one uses a. the r2-statistic. b. the standard error statistic. c. the f-statistic. d. the t-statistic.
One can use the f-statistic to test whether the overall regression equation is statistically significant, one uses the f-statistic.
A reasonably high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.
The ratio of two variances is known as an F-statistic, and it bears Sir Ronald Fisher's name. Variances gauge how widely apart the data points are from the mean. When the individual data points tend to deviate further from the mean, there are more variances.
The F-test determines that it is unlikely that all of the coefficients will equal zero by adding the predictive power of all independent variables. But it's likely that none of the variables are individually important enough to be statistically significant.
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what value of x will make the triangles similar by the sss similarity theorem? what value of x will make the triangles similar by the sss similarity theorem? 15.9 59 77 96.8
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
SSS Similarity Theorem: What is it?
The SSS similarity theorem is used to determine whether or not two triangles are similar.
The side-side-side, or SSS. According to this theorem, triangles are comparable if all three sides of one triangle are proportional to the three equivalent sides of another triangle.
The first triangle's sides in the example figure are 35, 20, and 20. The second triangle has sides x, 44, and 44.
So, according to the SSS similarity theorem,
x/35 = 44/20
x =44 *35 /20
x =77
By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.
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Answer:28
Step-by-step explanation: