Answer:
5 cmStep-by-step explanation:
AB = DC as opposite sides of rectangle.DE = AD as equal sides of isosceles triangleDE + EC = DC segment addition postulateNow substitute the values and find the length of EC:
EC = AB - ADEC = 4p + 3 - (3p - 1)EC = 4p + 3 - 3p + 1EC = p + 4Given p = 1
EC = 1 + 4 = 5 cmThe Suffolk Library has 102,673 books. The
Newberry Library has 106,329 books. How
many more books does the Newberry Library
have ?
Answer:
Step-by-step explanation:
Newberry Library has 3656 more books
which function(s) has the following properties? there may be more than one answer, so select all that apply. . domain is all real numbers, . range is all integers, . g
The correct answer is option c. There are no real-valued functions that have a domain of all real numbers and a range of all integers.
A function maps an input (or domain) to a unique output (or range). In order for a function to have a domain of all real numbers, it must take any real number as an input and provide a unique output. However, for a function to have a range of all integers, it must be the case that every output is an integer.
Since the real numbers are not countable and the integers are countable, there can be no function that maps every real number to a unique integer. In other words, there is no one-to-one correspondence between the real numbers and the integers, which means that it is not possible to find a function that maps every real number to an integer.
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Complete Question:
which function(s) has the following properties? there may be more than one answer, so select all that apply.
the domain is all real numbersthe range is all integersnone of the aboverewrite the following expression. x 9/7
The given expressiοn x 9/7 may be rewritten as 9x/7.
What is an expressiοn?An expressiοn is a cοmbinatiοn οf symbοls, variables, and/οr numbers that represents a mathematical relatiοnship οr quantity, but is nοt an equatiοn and dοes nοt cοntain an equal sign.
An expressiοn in math is a sentence with a minimum οf twο numbers οr variables and at least οne math οperatiοn. This math οperatiοn can be additiοn, subtractiοn, multiplicatiοn, οr divisiοn.
Tο rewrite "x 9/7" as "9x/7", we need tο recοgnize that the expressiοn "x 9/7" means "x multiplied by 9/7". Sο we can write:
x 9/7 = x * 9/7
Then we can simplify the expressiοn by multiplying the numeratοr (9) by x:
x 9/7 = 9x/7
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If the first terms of geometric sequence are 3 and 9 what could be the next two numbers
The next two numbers of the geometric sequence will be 27 , 81.
Geometric Sequence or Geometric Progression is defined as a sequence where every term is multiplied by a constant fixed number to get the next term except the first term.
For Example ; 2,6,18,54,..... This is a Geometric sequence as every next term except the first term is multiplied with 3.
Geometric Sequence is denoted by \(a,ar,ar^{2} ,ar^{3} ,.....\)
Its general term is denoted by \(a_{n} =a.r^{n-1}\), where a is the first term
r is the common ratio
n is the number of term in the sequence.
According to the given question
given the first two term = 3,9
So a=3 …..(1)
next we need common ratio "r" for this we divide second term by first term .
that is \(\frac{a_{2} }{a_{1} }\).
r=9/3
r=3.
The next term of the sequence will be third and fourth term i.e. \(a_{3} ,a_{4}\).
\(a_{3} =a*r^{3-1}\) ( using general formula for GP)
Substituting the value as a=3 and r=3
\(a_{3} =3^{3} \\ \\ a_{3} =27\)
Now
\(a_{4} =a*r^{4-1}\)
Substituting the value as a=3 and r=3
\(a_{4} =3*3^{3}\)
\(a_{4} =3^{4}\\ \\ a_{4} =81\)
Therefore , The next two numbers of the geometric sequence will be 27 , 81.
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Let PQRST be a regular pentagon, and let M be the midpoint of side ST. What is the measure of angle MQS, in degrees
The measure of angle MQS is 18°.
In mathematics, angles are typically measured in degrees or radians.
An angle is formed by two rays that have a common endpoint called the vertex. The rays are the sides of an angle, and the endpoint is called the vertex.
There are different types of angles:
Acute angle: an angle measuring between 0 and 90 degrees.
Right angle: an angle measuring exactly 90 degrees.
Obtuse angle: an angle measuring between 90 and 180 degrees.
Straight angle: an angle measuring exactly 180 degrees.
Reflex angle: an angle measuring between 180 and 360 degrees.
Draw QT and QS
Angles TQP, SQT, and SQR will trisect the interior angle PQR
And PQR = 108
So ...angle SQT = 108 / 3 = 36
But...by symmetry....angle XQS = (1/2)angle SQT = (1/2)36 = 18°
Therefore, The measure of angle MQS is 18°.
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Help MEE PLEASEE :( Im stressing sm
Answer:
smaller t= 0
larger t= 4
Step-by-step explanation:
smaller t is the t sqrd
larger t is the 4t
h(t) = t^2 + 4t + 3
h(0) = (0)^2 + 4(0) +3
0 + 0 + 3
= 3
i think the vertex of the parabola is
negative positive 3 or (-3,3),(3,-3)
I don't think if that's the correct answer.
create a equation with a denominator of 24
Answer: 12x+12/24=144
Step-by-step explanation:
this is a very vague question but heres my best nguees
Answer:
2/6 x 3/4 = 6/24
Step-by-step explanation:
Describe these points with a double inequality
Answer:
E
Step-by-step explanation:
so much words sis sossy
Answer:
Step-by-step explanation:
\(-3$<$ x\le 13\)
Bruno works for Poseidon Pool Service. He needs to drain a 38,000-gallon pool so that he can repair the cracked plaster. The Pool drains 12 gallons per minute.
Write an equation to represent the pool draining in slope-intercept form.
How long will it take for the pool to fully drain? Explain using numbers and words
Bruno needs to refill the pool now that the plaster is repaired. The Pool fills 16 gallons per minute.
Write an equation in slope intercept form to represent the pool filling back up.
*
How long will it take for the pool to fill back up? Explain using words and numbers..
*
The equation representing the pool draining in slope-intercept form is y = -12x + 38000 and the time for the pool to fully drain is 3167 minutes.
What is a linear equation?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.
As we know,
The standard form of the straight line is:
y = mx + b
The slope in this case is m, and the y-intercept is b.
From the data given:
y = -12x + 38000
Plug y = 0 to find how long it will take for the pool to fully drain:
0 = -12x + 38000
x = 3167 minutes
To fill it back up, the y-intercept is 0.
The slope is given M = 16
y = 16x
Now plug y = 38000 to find how long it will take for the pool to fill back up
38000 = 16x
x = 2375 minutes
Thus, the equation representing the pool draining in slope-intercept form is y = -12x + 38000 and the time for the pool to fully drain is 3167 minutes.
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What proportion can be used to find 42 is 35% of what number
Therefore, the correct answer is 42 is 35% of 120.
A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)
To find 42 is 35% of what number, the proportion that can be used is:
\(\frac{42}{x}\)
= \(\frac{35}{100}$$\)
where x is the unknown number we are trying to find.
To solve for x, we can cross-multiply and simplify:
\($$42 \cdot 100\) = \(35*4200\)
= \(35*x\)
= \(\frac{4200}{35}\)
= \(120$$.\)
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Jim rides the bus to and from school each day. A one-way trip is 8.12 kilometers. How many kilometers does he travel in 3 days?
Answer:
48.72 km in 3 days.
Step-by-step explanation:
Given that,
A one-way trip is 8.12 kilometers.
We need to find the distance he travel in 3 days.
The distance traveled by Jim in one day to the bus and from school = 2(8.12) = 16.24 km
Distance traveled in 3 days = 3(16.24)
= 48.72 km
Hence, he will cover 48.72 km in 3 days.
6. Mr. Beal surveys all the students in his Geometry class and identifies these probabilities.
The probability that a student has gone to United Kingdom is 0.23.
The probability that a student has gone to China is 0.48.
The probability that a student has gone to both United Kingdom and China is 0.14.
What is the probability that a student in Mr. Beal class has been to United Kingdom or China?
Paul is cutting trim for his living room. He needs to cut 6 pieces that are each 72.8 inches long. How many total inches of trim will he need to cut?
Let:
x = total inches of trim he needs to cut
n = Number of pieces he needs to cut
a = length of the pieces
so:
\(\begin{gathered} x=an \\ x=6\times72.8 \\ x=436.8in \end{gathered}\)help i don't understand this please answer fast
Answer:
B
Step-by-step explanation:
The Domain is the X- value so that makes it the domain and you have to order it correctly
PLEASE HELP THIS IS DUE IN 20 MINUTES
Describe fully the single transformation that maps shape A onto shape B.
y
4
A
2
1
B
-5 -4 -3 -2 -1 0
-1
1
2 3 4
X
5
-2
-3
-41
Total marks: 2
Answer:
I think shape A is just reflected, and make Shape B.
The reflection line is on 2 of the y axis
Step-by-step explanation:
Find the volume of the solid obtained by rotating the region bounded by y=x2 , y=0, and x=1, about the y-axis.
The volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis is π/2.
We have to determine the volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis.
We will rotate the region near the y-axis using the disc method. Consequently, the curve's equation should be expressed in terms of y.
y = x^2
Taking square root on both side, we get
x = √y
We can write it as
x = y^{1/2}
The volume integral formula is
V = \(\pi\int_{a}^{b}R(x)^2dx\)
The values of a and b are taken from the y-axis since the equation for the curve we need is expressed in terms of y.
Using the curve's equation, if x = 0, y = 0, and if x = 1, y = 1, respectively.
Thus, a = 0 and b = 1 are the values.
Now, we may use definite integral to express the volume.
V = \(\pi\int_{0}^{1}\left[y^{1/2}\right]^2dx\)
Now simplify
V = \(\pi\int_{0}^{1}ydx\)
Now integrating
V = \(\pi\left[\frac{y^2}{2}\right]_{0}^{1}\)
V = \(\pi\left[\frac{(1)^2}{2}-\frac{(0)^2}{2}\right]\)
V = \(\pi\left[\frac{1}{2}-0}\right]\)
V = π/2
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Find the volume of the prism.
The volume of the cone in this problem is given as follows:
V = 48π units³.
How to obtain the volume?The volume of a cone of radius r and height h is given by the equation presented as follows:
V = πr²h/3.
From the image given in this problem, the parameters are given as follows:
r = 6 mm, h = 4 mm.
Hence the volume is given as follows:
V = π x 6² x 4/3
V = 48π units³.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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What is the slope of (-3,4) and (0.3)
Answer:
m=-1/3
Step-by-step explanation:
To find the slope you have to use the equation:y₂-y₁ divided by x₂-x₁
So you would have 3-4 divided by 0-(-3)
And then you would get -1/3
Answer:
-0.33333
//////Step-by-step explanation:///////
HELPPP DUE AT 10:45 ???
Which simplified expression represents the area of the parallelogram? –4x3 14x – 24 square centimeters 2x3 – 6x2 – 14x 24 square centimeters –4x3 – 14x 24 square centimeters 2x3 6x2 14x 24 square centimeters.
The simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24
How to calculate the area of a parallelogramArea of a parallelogram = base * height
Given the following
Base = 2x^2 + 2x - 6
Height = x - 4
Substitute into the formula to have:
Area of a parallelogram= (x-4)(2x^2 + 2x - 6)
Area of a parallelogram= 2x^3 + 2x^2 - 6x - 8x^2 - 8x + 24
Area of a parallelogram= 2x^3 - 6x^2 -14x + 24
Hence the simplified expression that represents the area of the parallelogram is 2x^3 - 6x^2 -14x + 24
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Find the percent change from the first value to the second. Round to the nearest percent.
80; 60.
Answer:
25% decrease
Step-by-step explanation:
=(60−80)|80|×100
=−2080×100
=−0.25×100
=−25%change
=25%decrease
Answer:
25% decrease
Step-by-step explanation:
Ed is setting up the locations of the corners of a 12-foot by 5-foot rectangular deck he is going to build in his backyard To make sure he has a perfect rectangle. What should the length diagonal be?
answer
use pythagorean theorem:
d^2 = 12^2 + 5^2
d^2 = 144 + 25
d^2 = 169
d = sqrt(169)
d = 13
the length of the diagonal should be 13 feet
Find the area of a circle whose center is at (2, 2) and goes through the point (8, 2)
The area of the circle is 113.04 square units.
How to find the area of the circle?The area of a circle of radius R is given by:
A = π*R²
Where π = 3.14
Here we know that the center is at (2, 2) and the point (8, 2) is on the circle, then the radius is:
R = √( (2 - 2)² + (8 - 2)²)
R = 6
Then the area of the circle is:
A = 3.14*(6)² = 113.04 square units.
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How? (2x^2 - 3x - 4)(x + 7)
Answer:
\(2 {x}^{3} + 11{x}^{2} - 25x - 28\)
Step-by-step explanation:
Using foil method, Multiply the first term
\(2 {x}^{2} \times x = 2 {x}^{3} \)
Next, Multiply the Outer term in each parenthesis. (2x^2 and 7
\( 2 {x}^{2} \times 7 = 14 {x}^{2} \)
\( 2 {x}^{2} \times 7 = 14 {x}^{2} \: \: \: 3x \times - x = - 3x\)
Then, Multiply the Inner Terms (-3x,-4,7) in each parenthesis
\( - 3x \times 7 = - 21x\)
\( - 4 \times x = - 4x\)
Then multiply the last term (-4 and 7).
\( - 4 \times 7 = - 28\)
Combine it you have
\(2 {x}^{3} + 14 {x}^{2} - 3 {x}^{2} - 21x - 4x - 28\)
which simplify to
\(2 {x}^{3} + 11 {x}^{2} - 25x - 28\)
in a certain county in texas, 20% of new drilling sites produce oil. suppose that 6 new sites are drilled. verify that this satisfies the conditions for a binomial experiment. what is the probability that exactly one of the new sites produce oil? calculate this probability using the binomial probability function.
The probability that exactly one of the new sites produces oil is approximately 0.393 or 39.3%.
The experiment consists of a fixed number of trials: In this case, the experiment is the drilling of 6 new sites, which is a fixed number.
Each trial has only two possible outcomes: In this case, the outcomes are either the site produces oil or it does not.
Now, let's calculate the probability that exactly one of the new sites produces oil using the binomial probability function. The formula for the binomial probability function is:
P(X = x) = (n choose x) x pˣ x (1-p)ⁿ⁻ˣ
Where:
n is the number of trials (in this case, 6)
x is the number of successes we want to calculate the probability for (in this case, 1)
p is the probability of success (in this case, 0.2)
Using this formula, we can calculate the probability as follows:
P(X = 1) = (6 choose 1) x 0.2¹ x 0.8⁵
= 6 * 0.2 * 0.32768
= 0.3932 or 39.32%
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Which angle is congruent to CBA?
BCD
CDA
ABC
BAD
Answer:
the second cda is right give brainliest pls
Step-by-step explanation:
Answer:b:CDA
Step-by-step explanation:
Solve the simultaneous equations
5x + 3y = 41
2x + 3y = 20
Do not use trial and improvement
The solution to the system of equation is (7, 2)
Using the simultaneous equation:
5x + 3y = 41
2x + 3y = 20
using elimination method
Subtract equation 1 from 2 to have:
5x - 2x = 41 - 20
3x = 21
x = 21/3
x = 7
Substitute x = 7 into equation 1 to get y
5x + 3y = 41
5(7) + 3y = 41
35 + 3y = 41
5y = 41 - 35
3y = 6
y = 6/3
y = 2
Hence the solution to the system of equation is (7, 2)
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The inverse of a function can be found by ___ the numbers in each ordered pair of the function.interchangingreflectingexponentintercept
The main answer to your question is "interchanging". To find the inverse of a function, we interchange the numbers in each ordered pair of the function. This means that we switch the x and y values of each point in the function.
For example, if we have a function f(x) = 2x + 3, the ordered pairs would be (1,5), (2,7), (3,9), etc. To find the inverse function, we would switch the x and y values of each point to get ordered pairs such as (5,1), (7,2), (9,3), etc.
The explanation for why we interchange the numbers is that the inverse function "undoes" the original function. If we apply the original function to a number, the inverse function will take us back to the original number. By switching the x and y values, we make sure that the inverse function will undo the original function.
In conclusion, to find the inverse of a function, we interchange the numbers in each ordered pair of the function. This ensures that the inverse function will undo the original function.
Hi! I'm happy to help you with your question.
Main answer: The inverse of a function can be found by interchanging the numbers in each ordered pair of the function.
Explanation: When finding the inverse of a function, you are essentially swapping the input and output values in each ordered pair (x, y) to create a new ordered pair (y, x). This process is called interchanging the numbers in the ordered pair.
Conclusion: To find the inverse of a function, you need to interchange the numbers in each ordered pair of the function, which essentially swaps the input and output values.
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a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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