Answer:
(C)12 Units
Step-by-step explanation:
Triangle WRS has points W(0, -1), R(1.75, 1.5), and S(5, -1).
\(WR=\sqrt{(1.75-0)^2+(1.5-(-1))^2}=\dfrac{\sqrt{149}}{4}\)
\(WS=\sqrt{(5-0)^2+(-1-(-1))^2}=\sqrt{25}=5\)
\(RS=\sqrt{(5-1.75)^2+(-1-1.5)^2}=\dfrac{\sqrt{269}}{4}\)
Perimeter of Triangle WRS
\(= \dfrac{\sqrt{149}}{4}+5+\dfrac{\sqrt{269}}{4}\\\approx 12$ Units\)
Answer:
c
Step-by-step explanation:
took it on edge
need help asap will give brainliest
Answer: theirs ^
Step-by-step explanation:
Keisha is reading a 325-page book at a rate of25 pages per day. Use a point-slope equation to determine
whether she will finish reading the book in 10 days.
A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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Kristen has 8 gallons of water. Chris has 28 quarts of water. How many more pints of water does Kristen have than Chris?
Kristen have 8 cups more than Chris.
We will use unitary method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Kristen has 8 gallons of water. Chris has 28 quarts of water.
We need to convert gallons and quarts to cups and subtract the values
1 gallon = 16 cups
7 gallons = 7 x 16 = 112 cups
1 quart = 4 cups
Therefore,
26 quarts = 26 x 4 = 104 cups
112 - 104 = 8 cups
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Please help number 5 thank you
Answer 2,290 of total sheets of paper she bought.
Step-by-step explanation:
65x36=2340
subtract 50 for the black pages that she did not use.
2340-50=2,290
Answer:
743487 uhy7ujnuh
Which is one condition that must be present for an inverse relation to be a function?
A. The function must be a straight line. The function must be a straight line.
B. The function must pass the vertical line test. The function must pass the vertical line test.
C. The inverse relation must be a straight line. The inverse relation must be a straight line.
D. The inverse relation must pass the vertical line test.
the correct option is D:
" The inverse relation must pass the vertical line test."
Which is one condition that must be present for an inverse relation to be a function?
Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.
All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.
From this we conclude that the correct option is D:
" The inverse relation must pass the vertical line test."
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1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%? Answer:
Basketball player have to make 5 successful consecutive throws to make to raise her percent to 85%.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
Basketball player makes 12 out of 15 free throws she attempted.
The percentage of successful throws = (12/15)x100 = 75%
Let n consecutive free throws she has to make to increase the percentage of successful throws to 85%,
Implies that,
(12+n)/ (15+n) = 85/100
(12+n)/ (15+n) = 17 /20
240 + 20n = 255 + 17n
3n = 15
n = 5
Basketball player have to make 5 successful consecutive throws to make to raise her percent to 85%.
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Drag the tiles to the correct boxes to complete the pairs.
PQRS is a parallelogram. and are diagonals. Match each element to its value.
value of
length of
value of
length of
16
arrowRight
4
arrowRight
3
arrowRight
6
arrowRight
Answer:
16 ==>> Length of PR
4 ==>> Value of A
3 ==>> Value of B
6 ==>> Length of QS
Step-by-step explanation:
==>> Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T
--
==>> Thus the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B [add 3 and subtract B from both sides]
B = 3
A + 4 = 2A [subtract A from both sides]
4 = A
--
==>> Then to find the length of the diagonals: Plug the variables in and add both sides.
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
The correct matching of the elements to their values are:
16 ==>> Length of PR4 ==>> Value of A3 ==>> Value of B6 ==>> Length of QSWhat is a Parallelogram?This refers to the plane that has four sides and their opposite sides are parallel.
Hence, because PQRS is a parallelogram, the diagonals are symmetrically split by a shared midpoint:
This means that the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B
B = 3
A + 4 = 2A
4 = A
Length of the diagonals:
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
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The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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State the groups of shapes
Answer:
The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.
Step-by-step explanation:
The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.
3. The 7th grade students took a survey about which pizza company the students
preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th
grade.
If 5 out of 8 students chose Papa John's, how many students chose Papa
John's? How many did not?
Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
\(8x = 5*64\)
Simplifying by 8
\(x = 5*8 = 40\)
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
The volume V, of a cylinder is V=pie times radius to the power of 2 h, where r is the radius of the cylinder and h is the height. Using rounding to the nearest whole number, which of the following is an estimate of the volume of a cylinder with a radius of 3.75 inches and height of 6.21 inches
Answer:
\(274\,\text{in}^3\)
Step-by-step explanation:
\(V=\pi r^2h=\pi(3.75)^2(6.21)\approx274\,\text{in}^3\)
16
Find the exact value of x
X =
30
Do the side lengths form a Pythagorean triple?
O Yes
O No
The exact value of x is √1156 and it follows the Pythagorean triple
Finding the exact value of xFrom the question, we have the following parameters that can be used in our computation:
Legs of the right triangle = 16 and 30
Using the pythagoras theorem, we have
Hypotenuse^2 = the sum of the squares of the other lengths
So, we have
x^2 = 16^2 + 30^2
When evaluated, we have
x^2 = 1156
This gives
x = √1156
Hence, the exact value is √1156
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Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9 Find the slope of the line 2x−3y=9. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12). m=____ What would the parallel slope be? m=______ Use the slope to find the y-intercept of the parallel line. b= _____
Answer:
Step-by-step explanation:
2x - 3y = 9
-3y = -2x + 9
\(y=\frac{-2}{-3}x + \frac{9}{-3}\\\\y=\frac{2}{3}x-3\\\)
Parallel lines have same slope.So,
Slope m = 2/3
(4 , -1)
Equation: y - y1 = m(x - x1)
\(y-[-1]=\frac{2}{3}(x - 4)\\\\y+1=\frac{2}{3}*x - \frac{2}{3}*4\\\\y+1=\frac{2}{3}x-\frac{8}{3}\\\\y=\frac{2}{3}x-\frac{8}{3}-1\\\\y=\frac{2}{3}x-\frac{8}{3}-\frac{3}{3}\\\\y=\frac{2}{3}x-\frac{11}{3}\)
b = -11/3
Write and solve an equation to find the value of x and the missing angle measures
Answer:
in explanation
Step-by-step explanation:
angle rules say that those angles respond to each other meaning
they will equal each other
so 6x-4=4x+14
now solve for x
x=9
the top angle will be
6(9)-4=50
bottom angle will be 50
4(9)+14=50
With your team, create a piecewise-defined function with at least three “pieces.” The function does not need to be a step-function with horizontal line segments, but it needs to meet the definition of a function. Make a table and a graph for your function, and write an equation for each part. Be sure to state the domain for each part, as well as the domain for the whole function.
On solving the provided question we can say that The following is the data table of the function.
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
here,
the provided functions that can be formed are
x -infinity < x < -10
f(x) = 2x + 10 -10 < x < 10
4X - 10 10 < x < infinty
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
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An example of the piecewise defined function is: \(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
what is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output.
A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or range.
Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
The following is the data table of the function.
x y
-20 -20
-15 -15
-10 -10
-5 0
0 10
5 20
10 30
15 50
20 70
The provided functions that can be formed are
\(f(x)= \begin{cases}x & -\infty < x \leq-10 \\ 2 x+10 & -10 < x \leq 10 \\ 4 x-10 & 10 < x < \infty\end{cases}\)
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A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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Raj recorded the scores of six of his classmates in the table.
Math Scores
98
76
100
88
82
70
What is the range of their test scores?
Answer:
The lowest value in the data set is 70, and the highest is 100
70,76,82,88,98,100
Step-by-step explanation:
70-100 is 30. There ya go, have fun, stay safe, and make sure to smash me brainiest :D
- TRAIN The table shows the number of riders on the train each day for
two weeks. Compare and contrast the measures of variation for
both weeks.
Number of Riders on the Train
Week 1
Day
Monday
Tuesday
Wednesday
Thursday
Friday
72
84
78
67
86
se 1 Chapter 11 Statistical Measures
Week 2
79
86
75
49
137
Answer:
8
Step-by-step explanation:
Number of Riders on the Train
Week 1
Day
Monday
Tuesday
Wednesday
Thursd
The counting number just before C5F sixteen is
the counting number just before C5F16 is 3,072.
Find x value
\( {x}^{3} + {x}^{2} + 8x + 12 = 0\)
??
Changes made to your input should not affect the solution:
Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
x3+x2-8x-12 is not a perfect cube
Factoring: x3+x2-8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)
4 x 10^3 times what number is equal to 16 x 10^3
The number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.
What is the product?Product is the resultant number which is obtained by multiplying a number with another. Let a number a is multiplied by number b. Then the Product of these two number will be,
\(P=a\times b\)
Here, (a, b) are the real numbers.
The 4 x 10^3 times a number is equal to the number 16 x 10^3 Let suppose this number is n. Thus,
\(4\times10^{3}\times n=16\times10^{3}\)
Divide both side of the equation with 4 x 10^3 as,
\(n=\dfrac{16\times10^{3}}{4\times10^{3}}\\n=\dfrac{16}{4}\\n=4\)
Hence, the number which is 4 x 10^3 times equal to the number 16 x 10^3 after is number 4.
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In one fifth grade class 1/5 of the students wear glasses, and 1/4 wear contact lenses. What fraction of the class has corrected vision?
==================================================
Explanation:
We add up the fractions given
1/5 + 1/4
4/20 + 5/20
(4+5)/20
9/20
-----------
An example:
Let's say there are 20 students.
1/5 of 20 = (1/5)*20 = 4 students have glasses1/4 of 20 = (1/4)*20 = 5 students wear contactsAssume that those who wear glasses do not wear contacts, and vice versa. In other words, assume someone doesn't use both types.
If that assumption holds up, then 4+5 = 9 students wear corrected vision of some sort. So that's how we can arrive at the answer of 9/20 as the fraction of corrected vision students.
The sun of a number and 3 is 6 less than twice that number
Answer:
x+3=x2-6
Step-by-step explanation:
the equation would be:
x+3=x2-6
solve.
x=9
Each student at the State University has a student ID number consisting of six digits (the first digit is non zero and the digits can repeat) followed by two letters A, B, C, D, and E (letters cannot repeat). How many different student numbers are possible?
For the first part of the ID number (consisting of digits) we have the following number of permutations
\(9\cdot10\cdot10\cdot10\cdot10\cdot10\)The first part 9 takes into consideration that the first digit is non-zero, so we only have 1-9 to choose from, while the other succeeding 5 digits we have 10 to choose from (0 - 9).
The second part of the ID number (two letter part) will have the number of permutations
\(5\cdot4\)First multiplied by 5, and then 4, since we cannot repeat the previous letter.
Therefore the number of different student numbers is solved as
\(9\cdot10\cdot10\cdot10\cdot10\cdot10\cdot5\cdot4=18,000,000\)18,000,000 possible student ID numbers.
Determine the value for x and find the size of each of the angles represented by the algebraic expression. Show your work.
For geometric shape A, x=30.83 and angles are 108.33° and 71.67°.
What precisely are geometric shapes?
Geometric forms are mathematical representations of the shape of ordinary objects. Shapes are geometric forms having boundary lines, angles, and surfaces. There are several 2d and 3d forms.
It is usual to use a symmetrical regular form, such as a square or circle. Asymmetry can take on unusual forms. They are also known as organic forms or freeform shapes. For example, a tree has an uneven or organic form.
Two-dimensional forms in plane geometry are flat shapes and closed figures such as circles, squares, rectangles, rhombuses, and so on. The three-dimensional forms in solid geometry are the cube, cuboid, and sphere.
Now,
For A 4x-15+2x+10=180°
because these are supplementary angles
then
6x-5=180
x=185/6
x=30.83
then angles are 4*30.83-15 and 2*30.83+10
= 108.33° and 71.67°.
Hence,
x=30.83 and angles are 108.33° and 71.67°.
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Details for B are incomplete.
Find axis of symmetry
Answer:
Step-by-step explanation:
x=-4
4 Nestor works at a garden center where he pots plants. It takes him 2 1··2hours to pot 15 plants. Part A How many plants can Nestor pot in 1 hour? Fill in the blanks to complete the equation and the statement.15 5 Nestor can pot plants in 1 hour. Part B If Nestor continues working at the same rate, how many plants will he be able to pot in 3 1··2hours? Show your work. Answer: plants
Answer:
plants sbbsjdjdhdhhs
HLP HLP 20 PTS 20 PTS PTS PTSPTS
Answer:
9^4 * 2^4
Step-by-step explanation:
We know (a*b) ^c = a^c * b^c
(9*2) ^4
9^4 * 2^4
Answer:
\(9^{4} * 2^{4}\)
Step-by-step explanation:
rule:
\((a*b)^{c} = a^{c} * b^{c}\)
distribute the exponent to both bases:
\(9^{4} * 2^{4}\\\\\)
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
A. A pair of parallel lines
B. A point
OC. A pair of intersecting lines
OD. A single line
When a circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base, a pair of intersecting lines is formed.
How to know what is formed from a line intersecting a cone?
The right circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base.
This means the intersecting line forms a right angle with the base of the right circular cone.
Therefore, from this interaction is a pair of intersecting lines.
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