Answer:
Answer shown from explanation
Step-by-step explanation:
Area of trapezium =1/2 * sum of parallel side * height = 1/2. *(6+12) *4= 36sqft
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Answer:
The correct choice would be (D)
Answer:587 is correct follow the line to the top and you will get 587
Step-by-step explanation:
Juan ran of a mile 2/5 every 4/7 of an hour. Find Juan’s rate in miles per hour
Answer:
Juan runs 7/10 of a mile every hour
Step-by-step explanation:
First find out how much he ran every 1/7 of an hour
2/5 x 1/4 = 4/7 x 1/4
1/10 = 1/7
1/10 x 7 = 1/7 x 7
7/10 = 1
At the beginning of the week, the temperature was 15. During the week, it decreased by 20. What was the temperature by the end of the week? What is the percent Change of the weekly temperature? Show work
Answer:
Initial temperature = 15Decrease during the week = 20Temperature by the end of the week:
15 - 20 = -5Change is 20
Percent change is:
20/15*100% = 133.33%Carmen made $221 for 13 hours of work. At the same rate, how many hours would she have to work to make $153?
Answer:
9
Step-by-step explanation:
221/13=17
So $17 for one hour
153/17=9
I dunno if this is right :)
Answer:
Carmen has to work 9 hours to make $153.
Step-by-step explanation:
Well first we would need to find out how much she makes an hour, so to do that we would divide the 221 by 13 hours and get 17. Then you just keep multiplying until you have the right number.
17x4=68
17x5=85
17x6=102
17x7=119
17x8=136
17x9=153
The diagram shows two Parallel lines cut by a transversal. PLEASE HELP!
Answer:
you are right it is option a
Step-by-step explanation:
cause
I need help asap thank you.
Answer:
GH = 19
Step-by-step explanation:
FG = 13 FH = 32
32 - 13 = 19
Answer:
GH = 19
Step-by-step explanation:
FH = 32
FG = 13
FH is the total length of the line. FG is only equal to a segment.
So you're going to subtract the total length from the segment.
It should look like this
\(32 - 13 = GH\)
When you subtract 32 from 13, you'll get 19, which is equal to the length of GH.
graph y = -(x-3)^2+4
Vertex: (3,4)(3,4)
Focus: (3,154)(3,154)
Axis of Symmetry: x=3x=3
Directrix: y=174y=174
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.
This function written in vertex form include the following: A. f(x) = (x –1)² – 7.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = x² – 2x – 6, we have:
a = 1, b = -2, and c = -6
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(-2)/2(1)
Axis of symmetry, Xmax = 2/2
Axis of symmetry, Xmax = 1.
Next, we would determine vertex as follows;
f(x) = x² – 2x – 6
f(x) = 1² – 2(1) – 6
f(x) = -7.
Now, we can write quadratic function in vertex form;
f(x) = a(x - h)² + k
f(x) = (x - 1)² - 7
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Complete Question:
The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.
What is this function written in vertex form?
f(x) = (x –1)² – 7
f(x) = (x +1)² – 7
f(x) = (x –1)² – 5
f(x) = (x +1)² – 5
Example: Divide 3 loaves between 5 people First, divide two of the loaves into thirds... each person gets one third each, with one third left over Then divide the left-over third from the second loaf into fifths So, each person gets: 1/5 and the third loaf into fifths each person gets one fifth each each person gets a slice (one fifteenth) 1/15 3/5 The Egyptians used the approximated process to work on the area of a circle as shown in the picture. 1.4 Show the representation of the fractions on the second row. (2) 1.5 Show the algorithm/abstract strategy to justify the 3/5 found as the answer. (3)
The algorithm justifies the answer of 3/5 as the fraction each person gets.
Representation of the fractions on the second row:
From what you described, two of the loaves were divided into thirds.
This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.
Therefore, each person receives one fifth from this remaining third.
So, the representation of the fractions on the second row would be:
Each person receives 1/3 (one third) from the two loaves.
Each person receives 1/5 (one fifth) from the remaining third.
Algorithm/Abstract strategy to justify the 3/5 found as the answer:
To find the final answer of 3/5, we can follow the steps you provided:
Divide two loaves into thirds, giving each person 1/3.
Divide the remaining third from the second loaf into fifths, giving each person 1/5.
Combining the fractions, each person has 1/3 + 1/5.
To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:
1/3 = 5/15 (multiplying numerator and denominator by 5)
1/5 = 3/15 (multiplying numerator and denominator by 3)
Now, we can add the fractions:
5/15 + 3/15 = 8/15
Therefore, each person receives 8/15 of a loaf.
Simplifying this fraction, we get 3/5.
Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.
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Simplify 10^9 ÷ 10^7
Answer:
10^2
Step-by-step explanation:
10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2
Answer:
100
Step-by-step explanation:
Hope it helps
what is the value of the underlined digit in the number 27,416,385. 4 is the underlined number.
The value of the underlined digit in the number 27,416,385.( 4 is the underlined number.) is the hundred thousandths place.
How can the digits be known?The symbols, from 0 to 9 can be described as a digit. For instance, the numbers 2 and 3 are used to represent the number 23. however amount is represented by a number.
It should be noted that It may be expressed using one, two, three, or even more digits however only single symbol used to represent a number is a digit in the case above we can see that 4 is the hundred thousandths place.
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Let theta be an angle between pi and 3pi/2 such that cos(theta) = -1/9
so we know that θ is between π and 3π/2, which is another of saying that θ is in the III Quadrant, and obviously its cosine will be negative.
we also know that cos(θ/2) is negative, well, that rules out the I and IV Quadrants, so most likely θ/2 is on the II Quadrant, since is smaller than θ anyway, and on the II Quadrant as we know, the sine or "y" value is positive.
\(\stackrel{\textit{Half-Angle Identities}}{ sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \qquad\qquad cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}}} \\\\[-0.35em] ~\dotfill\\\\ cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+\left(-\frac{1}{9} \right)}{2}}\implies cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-\left(\frac{1}{9} \right)}{2}}\)
\(cos\left(\cfrac{\theta}{2}\right)=-\sqrt{\cfrac{~~ \frac{8}{9} ~~}{2}}\implies cos\left(\cfrac{\theta}{2}\right)=-\sqrt{\cfrac{4}{9}}\implies cos\left(\cfrac{\theta}{2}\right)=-\cfrac{2}{3} \\\\[-0.35em] ~\dotfill\)
\(sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-\left( -\frac{1}{9} \right)}{2}}\implies sin\left(\cfrac{\theta}{2}\right)=+ \sqrt{\cfrac{~~\frac{10}{9}~~}{2}}\implies sin\left(\cfrac{\theta}{2}\right)=+\cfrac{\sqrt{5}}{3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{~~~a_1~\hfill a_2~~~}{\left( -\cfrac{2}{3}~~,~~ \cfrac{\sqrt{5}}{3}\right)}~\hfill\)
Answer:
(-2/3, (√5)/3)
Step-by-step explanation:
We can use the half-angle identities to find the values of the sine and cosine of the desired angle. The desired angle is a 2nd-quadrant angle, so the sine is positive, and the cosine is negative.
\(\sin{\left(\dfrac{\theta}{2}\right)}=\sqrt{\dfrac{1-\cos{(\theta)}}{2}}=\sqrt{\dfrac{1-(-1/9)}{2}}=\sqrt{\dfrac{5}{9}}=\dfrac{\sqrt{5}}{3}\\\\\cos{\left(\dfrac{\theta}{2}\right)}=-\sqrt{\dfrac{1+\cos{(\theta)}}{2}}=-\sqrt{\dfrac{1+(-1/9)}{2}}=-\sqrt{\dfrac{4}{9}}=-\dfrac{2}{3}\)
The coordinates of the terminal point are ...
\((a_1,a_2)=\left(\cos{\dfrac{\theta}{2}},\sin{\dfrac{\theta}{2}}\right)=\left(-\dfrac{2}{3},\dfrac{\sqrt{5}}{3}\right)\)
What solid 3D object is produced by rotating the circle 360 about line m?
Answer:
When a circle is rotated 360 degrees about a line, it forms a three-dimensional object called a "sphere."
Step-by-step explanation:
Start with a two-dimensional circle. A circle is a flat, round shape with a constant radius, and it lies on a plane.
Choose a line, let's call it line "m," around which you want to rotate the circle. The line "m" can be any line in space.
Imagine taking the circle and rotating it around line "m" while keeping the circle's center fixed. The circle will rotate in a full 360-degree revolution around the line.
As the circle rotates, each point on its circumference traces out a path, forming a three-dimensional shape. This shape is known as a sphere.
The resulting sphere is a perfectly symmetrical object. All points on its surface are equidistant from its center, and it has no edges or faces like other polyhedral shapes.
To summarize, rotating a circle 360 degrees about a line produces a sphere, which is a three-dimensional object with no edges or faces, where all points on its surface are equidistant from its center.
The data in which table represents a linear function that has a slope of zero? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5. A 2-column table with 5 rows. Column 1 is labeled x with entries 1, 2, 3, 4, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1. A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 4, 3, 2, 1. A 2-column table with 5 rows. Column 1 is labeled x with entries 5, 5, 5, 5, 5. Column 2 is labeled y with entries negative 5, negative 4, negative 3, negative 2, negative 1.
Answer:
A 2-column table with 5 rows. Column 1 is labeled x with entries negative 5, negative 4, negative 3, negative 2, negative 1. Column 2 is labeled y with entries 5, 5, 5, 5, 5.
Step-by-step explanation:
The table with all y-values the same will graph as a horizontal line, a line with a slope of zero.
Apparently, the first table is like that.
Answer:
A is the answer
Step-by-step explanation:
just took the test
martin is 6 years younger than his sister. the sum of their ages is no more than 22 years. enter an inequality that can be used to represent this situation in the box, where x represents martin's sister's age.
Answer:
x ≤ 14
Step-by-step explanation:
x = age of Sis
x - 6 = Martin's age
x + (x-6) ≤ 22
2x - 6 ≤ 22
2x ≤ 28
x ≤ 28/2
x ≤ 14
Please tell me. How you find 'two' from this equation?
Answer:
It's asking what 3^k+2 is in terms of m. That is where the 2 comes from.
Please let me know if this helped <3
Evaluate the expression 5t + 2m for m = 7 and t = 2.
Answer:
The answer is 24Step-by-step explanation:
5t + 2m
m = 7 t = 2
Substitute the above values into the expression
That's
5(2) + 2(7)
10 + 14
24
Hope this helps you
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
help ! it may or may not have multiple answers
From the given problem, there are 3 computer labs and each lab has "s" computer stations.
So the total number of computers is :
\(3\times s=3s\)Mr. Baxter is ordering a new keyboard and a mouse for each computer, since the cost of a keyboard is $13.50 and the cost of a mouse is $6.50.
Each computer has 1 keyboard and 1 mouse, so the total cost needed for 1 computer is :
\(\$13.50+\$6.50\)Since you now have the cost for 1 computer, multiply this to the total number of computers which is 3s to get the total cost needed by Mr. Brax :
\(3s\times(13.50+6.50)\)Using distributive property :
\(a(b+c)=(ab+ac)\)Distribute s inside the parenthesis :
\(3(13.50s+6.50s)\)One answer is 1st Option 3(13.50s + 6.50s)
Simplifying the expression further :
\(\begin{gathered} 3(13.50s+6.50s) \\ =3(20.00s) \end{gathered}\)Another answer is 4th Option 3(20.00s)
X A A. B. C. D. B any of the perpendicular bisectors of the sides of the hexagon either diagonal of the square any of the perpendicular bisectors of the sides of the square there are no lines across which this figure can reflect onto itself....*******?Got answer off here and showing wrong ones in pic....thanks!
In a regular hexagon, where FGHIJK shares a common center with square ABCD on a coordinate plane. ||. It is Across any of the perpendicular bisectors of the sides of the square that the combined figure can reflect onto itself.
What is the explanation for the above response?
In Regular Hexagon FGHIJK, we have 6 lines of reflection across which the hexagon reflects onto itself. Those lines are:
3 perpendicular bisectors of sides i.e. perpendicular bisector of IJ , IH and GH
3 lines passing through vertices i.e. HK, IF and GJ.
While in Square, we have 4 line of reflection across which the square reflects onto itself. Those lines are:
2 perpendicular bisectors of sides AB and BC i.e. HK and perpendicular bisector of CD
2 diagonals of square i.e. AC and BD
Note as well that from figure we know that perpendicular bisector of CD and perpendicular bisector of IJ is the same line.
So, for combined figure we have to take common lines from both figures i.e. perpendicular of sides CD or IJ and line HK.
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Full Question:
Although part of your question is missing, you might be referring to this full question: See the attached image and the questions below.
In a regular hexagon, FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself?
A. any of the perpendicular bisectors of the sides of the hexagon
B. either diagonal of the square
C. any of the perpendicular bisectors of the sides of the square
D. there are no lines across which this figure can reflect onto itself
You pick a card at random. Without putting the first card back, you pick a second card at random. 7 8 9 What is the probability of picking an 8 and then picking a prime number? Simplify your answer and write it as a fraction or whole number.
ANSWER:
STEP-BY-STEP EXPLANATION:
\(undefined\)You have $16 and a coupon for a five dollar discount at a local supermarket one bag of hot Cheetos cost 3 dollars how many bag of Cheetos can you buy
The number of Cheetos you can buy in the supermarket is 7.
How to find the number of bag of Cheetos bought?You have $16 and a coupon for a five dollar discount at a local
supermarket . One bag of hot Cheetos cost 3 dollars. Therefore, the
number of bag of Cheetos you can buy can be calculated as follows:
Therefore, altogether he has 16 + 5(coupon discount) = 21 dollars to spend
in the super market.
Therefore,
number of Cheetos worth 3 dollars one can buy = 21 / 3
number of Cheetos worth 3 dollars one can buy = 7
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The seating capacity of the Marlins Ballpark, home of the Miami Marlins is listed at 37,442. For each game, the amount of money that the Marlins’ organization brings in as revenue is a function of the number of people, in attendance. Assume each ticket costs $40. Find the problem domain of this function.
The problem domain for the function in the given problem is;
D; 1 ≤ x ≤ 37442
To answer this question, we need to first understand what domain means in maths.Domain is defined as the set of all possible input values in a function.We are told that revenue is a function of the number of people. The cost of a ticket is $40. Thus, the function that represents the revenue here is;R(x) = 40x
Where x is number of people in attendance.
Now, since the seating capacity is listed as 37442 and the domain is a set of input values, it means the range of the domain will be from 1 person to 37442 persons. Thus;Domain of the function is; 1 ≤ x ≤ 37442
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What is the yintercept of the function, represented by the table of values below?
A. 9
B. 3
C. 6
D. 12
Answer:
A. 9
Step-by-step explanation:
First find the slope (m) using two given pairs of values form the table, say (1, 6) and (2, 3):
Slope (m) = change in y/change in x
Slope (m) = (3 - 6)/(2 - 1) = -3/1
Slope (m) = -3
Next, substitute (1, 6) = (x, y) and m = -3 into y = mx + b and solve for y-intercept (b).
Thus:
6 = -3(1) + b
6 = -3 + b
Add 3 to both sides
6 + 3 = -3 + b + 3
9 = b
b = 9
y-intercept = 9
determine the surface area and volume
The surface area of a cylinder is 284m² and it's volume is 366.9m³
What is the surface area and volume of a cylinder?To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:
Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²hFrom the given question, the data are;
radius = 4mheight = 7.3ma. The surface area of the cylinder is;
SA = 2π(4)² + 2π(4)(7.3)
SA = 283.999≈284m²
b. The volume of the cylinder is
v = πr²h
v = π(4)²(7.3)
v = 366.9m³
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A veterinarian visits an aninal shelter with 147 dogs. 42 are randomly selected for a study. Of tjose selected 14 have a disease. What is the best estimate for the number of dogs that suffer from tge disease? 49, 41,52 or 38?
Answer:
The answer is 49
Step-by-step explanation:
We can use proportions to estimate the number of dogs in the entire population that have the disease, based on the sample of dogs with the disease.
We know that 42 dogs were selected for the study, and 14 of them had the disease. This means that the proportion of dogs in the sample with the disease is:
14/42 = 0.3333
We can use this proportion to estimate the number of dogs in the entire population that have the disease, by multiplying it by the total number of dogs:
0.3333 * 147 = 49
Therefore, the best estimate for the number of dogs that suffer from the disease is 49.
1. Which one of the following is NOT true about polynomial functions f(x) and g(x) if deg (f) = man * d deg * (g) =n?
A. deg (f + g) = max(m, n)
B. deg (f_{g}) <= m + n
C. If g is a factor of f then deg( f )<= m
D. The deg (f ^ 3) = 3m
The option that is not true about polynomial functions is:
Option D. The deg (f ^ 3) = 3m
How to Interpret the degree of Polynomial functions?For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:
Option A: deg(f + g) = max(m, n)
This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.
Option B: deg(f * g) <= m + n
This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.
Option C: If g is a factor of f, then deg(f) <= m
This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.
D. The deg(f ^ 3) = 3m
This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Write with fractional exponents. (Do not use parentheses.)
Answer:
4\(y^{\frac{3}{2} }\)
Step-by-step explanation:
using the rule of exponents/ radicals
\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)
then
4 \(\sqrt{y^{3} }\)
= 4\(y^{\frac{3}{2} }\)
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 4p − 7 ≥ 9p + 8 true.
PLS HELP ME
The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5
Let's solve the inequality first
4p -7 \(\geq\) 9p +8
Taking p's on the same side we will get :
-7 - 8 \(\geq\) 9p - 4p
-15 \(\geq\) 5p
Divide by 5 into both sides
-3 \(\geq\) p
i.e. p \(\leq\) -3
Therefore p must be less than or equal to -3
From the set, we have the numbers -3,-4,-5 which are less than or equal to -3
Hence the integers -3,-4,-5 will make the inequality 4p-7 \(\geq\) 9p+8 true
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Write a recursive formula for an, the nth term of the sequence 50, -10, 2, ....
a1
an
11
Answer:do homework
Step-by-step explanation: