The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 2.3 times every four hours. The shopping center is open from 10 a.m. to 9 p.m. (11 hours). Let r be the number of shoplifting incident caught by security in an 11 -hour period during which the center is open.
Answers
Answer:
9 hours
Step-by-step explanation:
Related Questions
A home has a triangular backyard. The second angle of the triangle is 4º more than the
first angle. The third angle is 21° more than three times the first angle. Find the angles of
the triangular yard
Answers
Answer:
31, 114 and 35
Step-by-step explanation:
I set up the equation as such:
(3x + 21) + (x + 4) + x = 180
then I combined like terms:
5x + 25 = 180
And then solving for x I get:
5x = 155
x = 31
And then plugged the solved x value into the terms to give:
(3(31) + 21) = 114
(31 + 4) = 35
alongside the found angle of 31.
Answer:
\(31^{\circ}, 35^{\circ}, 114^{\circ}\)
Step-by-step explanation:
Let the first angle be \(x\). Then, the second angle is \((x+4)^{\circ}\) and the third angle is \((3x+21)^{\circ}\).
We know that the sum of the angles in a triangle will always be \(180^{\circ}\). So, we want to solve the equation for x: \((x)+(x+4)+(3x+21)=180\).
Combining like terms on the left side gives \(5x+25=180\).
Subtracting \(25\) from both sides gives \(5x=155\).
Dividing both sides by \(5\) gives \(x=31\).
So, the first angle is \(31^{\circ}\).
The second angle is \(x+4=31+4=35\), so the second angle is \(35^{\circ}\).
The third angle is \(3x+21=3(31)+21=93+21=114\), so the third angle is \(114^{\circ}\).
So, the angles are \(\boxed{31^{\circ}, 35^{\circ}, 114^{\circ}}\) and we're done!
The check that these angles work is left as an exercise to the reader.
9.
Modeling Real Life Owls see an
object with both eyes at the same
time using binocular vision. What angle
measure describes the owl's binocular
vision? Explain.
binocular
vision
left
right
monocular,
monocular '
vision
vision
110°
Answers
The field of view for an owl is about 110 degrees, with about 70 degrees being binocular vision. By comparison, humans have a field of view that covers 180 degrees, with 140 degrees being binocular. A woodcock has an amazing 360 degree field of view, because its eyes are on the side of its head.
806000 words typed in 12 hours how many words can type in 1 minute ?
Answers
Answer:It depends on how fast you write.
Step-by-step explanation:If you're a professional typist, you can probably type 75 words per minute, and maybe even more.
Answer:
1,119.44 wpm
Step-by-step explanation:
806,000 words in 12 hours; divide each value by 12 to get number of words per 60 minutes
17,166.67 word in 60 minutes; divide each value by 60 to get number of words per minute
1,119.44 words in 1 minute
Find the diameter of a circle which has an area of 2.7 cm?
Answers
Answer:
1.85
Step-by-step explanation:
please mark me brainliest
Answer:
5.94cm²
Step-by-step explanation:
d = 2.75
r = d/2 = 2.75/2 = 1.375
A= πr² = π(1.375)² = 5.94cm²
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Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answers
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
6(3x+4)+2(2x+2)+2=22x+31 solve the equation for the given variable
Answers
The equation 6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31 has no solution for the variable x.
What is the solutuon to the given equation?Given the equation in the question:
6( 3x + 4 ) + 2( 2x + 2 ) + 2 = 22x + 31
To solve the equation 6(3x + 4) + 2(2x + 2) + 2 = 22x + 31 for the variable x, we will simplify and solve for x.
Apply distributive property:
6 × 3x + 6 × 4 + 2 × 2x + 2 × 2 + 2 = 22x + 31
18x + 24 + 4x + 4 + 2 = 22x + 31
Collect and combine like terms on both sides:
22x + 30 = 22x + 31
Next, we want to isolate the variable x on one side.
22x - 22x + 30 = 22x - 22x + 31
30 = 31
However, we notice that the x terms cancel out when subtracted:
30 ≠ 31
This means that there is no solution.
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If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
Answers
Answer:
the answer is 9
Step-by-step explanation:
i used a caculator
50 Points! Multiple choice algebra question. If r(x)=x^3-2x+1, find r(2a^3). Photo attached. Thank you!
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. \(8a^{9} -4a^{3} +1\)
Step-by-step explanation:
Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :
\(r(2a^{3} )\) is the same as saying \(x=2a^{3}\)So, we have \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)Solve for \(r(2a^{3} )\) :
1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)
Start with simplifying \((2a^{3})^{3}\)\((2a^{3})^{3}=2^{3}*(a^{3})^{3}=8*a^{3*3}=8a^{9}\)When you have a quantity raised to a power, or an exponent, you have to distribute the exponent to each term multiplied.When you multiply two terms that are raised to a power, you add the powers.When you divide two terms that are raised to a power, you subtract the power in the numerator from the power in the denominator.When you have a power raised to a power, you multiply the powers.2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)
Simplify \(2(2a^{3})\)Multiply two times the quantity\(2(2a^{3})=4a^{3}\)3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
Answer:
So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).
Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 156x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions. Graph of function p of x equals negative 6 x squared plus 156 x plus 1,000. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (13, 2014), and decreases through about (31, 0). Part A: Identify the approximate value of the y-intercept. Explain what the y-intercept means in terms of the problem scenario. (3 points) Part B: Identify the approximate value of the x-intercept. Explain what the x-intercept means in terms of the problem scenario. (3 points) Part C: Identify the approximate value of the maximum of the function. Explain what the maximum of the function means in terms of the problem scenario. (4 points)
Answers
The maximum daily profit the company can earn is $2,350.
It is a set of points in a coordinate plane that represents the values of the function for different inputs.
The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.
Therefore, the maximum daily profit the company can earn is $2,350.
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Show transcribed dataFind the characteristic polynomial of A. Use x for the variable in your polynomial. You do not need to factor your polynomial 12 - 10 0 A = 9 -7 0 0 02 characteristic polynomial of A is: 0
Answers
The characteristic polynomial x³ - 7x² + 16x - 12 The characteristic polynomial of a square matrix in linear algebra is a polynomial that is invariant under matrix similarity and has the eigenvalues as roots.
Its coefficients include the determinant and the trace of the matrix.
Characteristic polynomial of a 3×3 matrix A is given by ; x³ - trace(A)x² + (A11 + A22 + A33 )x - determinant(A)
Where Aii is the determinant of the matrix obtained by deleting i th row and i th column.
Here trace(A) = sum of the diagonals = 12 - 7 + 2 = 7
A11 = -7 × 2 = -14
A22 = 2 × 12 = 24
A33 = ( 12×-7) - (-10×9) = 6
Determinant(A) = 12(-7×2 - 0) + 10(2×9 - 0) = 12
Substituting these values in above equation , we obtain;
x³ - 7x² + (-14 + 24 + 6)x - 12 = x³ - 7x² + 16x - 12.
Hence x³ - 7x² + 16x - 12 is the characteristic polynomial of A.
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PLEASE HELP QUICKLY(25 points)!!
Match the description with the correct answer.
(questions)
———————
y-intercept -
slope-
domain-
range-
is this graph increasing, decreasing or both-
x-intercept-
———————
(answer choices)
(4,0), (0,4), (-2,0), (0,-2), +2, -4,
input values, increasing, decreasing,
both increasing and decreasing, output values
———————
please help quickly its worth 10.34 points on my test
Answers
Answer: In that picture the slope is increasing
Step-by-step explanation: positive rise and positive run (uphill from left to right)
the sum of 10 and the product of 12 and s in agebraic expression
Answers
Answer and Step-by-step explanation:
10 + 12s would be the algebraic expression.
Because 10 is being added to the product of 12 and s, meaning 12 and s multiply each other.
#teamtrees #PAW (Plant And Water)
What is the equivalent equation to the given equation?
x = x² - 20
Answers
The equivalent equation to the given equation i.e, x = x² - 20 is x² - x - 20 = 0
What is a Quadratic equation ?
A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.
The given expression is,
x = x² - 20
We have to make the equation in quadratic form i.e, ax² + bx + c = 0
so, first take x to the right side
0 = x² - 20 - x
Now swap the equation,
x² - 20 - x = 0
put 'x' term in middle and constant term at last like this,
x² - x - 20 = 0
Hence, The equivalent equation to the given equation i.e, x = x² - 20 is x² - x - 20 = 0
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how do i solve and graph -5x+2y=10
Answers
Answer:
at first write the equation in correct order y=Mx+b. 2y=5x=10
y= 5x/2+5.
Step-by-step explanation:
the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.
the graph picture is added below click on the PNG. hope it helps. have a great day.
Jessie made 3 shots out of 4 tries, how many shots will she make if she tries 12 shots (use a proportion
Answers
Answer:
10 out of 12 which is \(\frac{5}{6}\) when simplified
Answer:
9:12
Step-by-step explanation:
3:4 is the ratio of her shots to tries
x:12 is the ratio we want to find, so you can turn these into fractions: 3/4 to x/12
to find x you figure out what you multiply 4 by to get to 12, which is 3, so you multiply 3 by 3 and you get 9
so the answer is 9:12
Antonio is in a bowling league. His goal is to score an average of at least 100 points per game. His scores so far are 105,95,97,82, and 110. How many points can Antonio score in his next game to reach his goal? Show your work.
Please show work I need it so please have step by step I will give brainly thanks!
Answers
Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.
What are basic arithmetic operations?
Basic arithmetic operations are fundamental mathematical calculations that involve manipulating numerical values using a set of basic operations.
To find out how many points Antonio needs to score in his next game to reach an average of at least 100 points per game, we can use the following formula:
Total points needed = (number of games + 1) × average score goal - total points scored so far
In this case, Antonio has played 5 games, so the number of games he will have played after his next game is 6. His goal is an average of 100 points per game, so his average score goal is 100. The total points he has scored so far is:
105 + 95 + 97 + 82 + 110 = 489
Substituting these values into the formula, we get:
Total points needed = (6) × (100) - 489
Total points needed = 600 - 489
Total points needed = 111
Hence, Antonio needs to score at least 111 points in his next game to reach his goal of an average of at least 100 points per game.
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HELP PLEASE NEED IT ASAP
Answers
Answer:
x=-4 x=2
Step-by-step explanation:
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PLEASE TAKE A PIC OF YOU WORK ON A PECIE OF PAPER WITH THE AWNSER ON IT!!!! Hey! I need help with this! I’m bad at math and have a 55% in it rn it would mean a lot if you could take this seriously. Only 5 questions.
Answers
Answer:
Step-by-step explanation:
Hey if you give me your email i ca email you the aswer it wot let me link a photo lol
Each batch of Blueberry Breakfast Treats will make 12 muffins. Mrs. Penney wants to make enough muffins for each of the 35 students in her math club and herself to have one. Blueberry Breakfast Treats Number of Batches 1 2 3 4 Cups of Blueberries Three-fourths -- -- -- On a coordinate plane, a graph titled Blueberry Breakfast Treats has batches on the x-axis and Blueberries on the y-axis. Points A is (2, 1.5), point B is (2.6, 2.25), point C is (3, 2.25), point D is (4, 3). If she does not want any leftovers, which point should Mrs. Penney use to determine the amount of blueberries she will need to make her muffins? A B C D
Answers
Answer:
A
Step-by-step explanation:
Which equation represents the vertical line passing through (1,-9)?
A. x = -9
B.x = 1
C. y=-9
D. y = 1
Answers
Answer:
B is the correct equation.
PLEASE HELP!!!!
Choose the equation below that is equivalent to 4(x - 7) - 2(x + 1) = -10
2x - 26 = -10
2 ( x - 6) = -10
4x - 28 - 2x - 2 = -10
4x - 28 - 2x +2 = -10
Answers
Step-by-step explanation:
=4(x)+4(-7)-2(x)-2(1) = -10
= 4x-28-2x-2= -10
therefore the third equation is equivalent to the given equation..all you need is to simplify.
Hope this Helps!!!
The product of 2 and 13 more than a number.
Answers
Answer:
2x13+N (N as in number)
Step-by-step explanation:
Step-by-step explanation:
2x13+n (n as in number)
yan lang po alam ko
Find the least common multiple (LCM) of 4 and 5.
Answers
9514 1404 393
Answer:
20
Step-by-step explanation:
4 and 5 have no common factors*, so their least common multiple is their product:
4 × 5 = 20
The LCM of 4 and 5 is 20.
_____
* We're concerned with integer factors greater than 1. Of course, 1 is a factor of everything, We could say this as "no common prime factors". For computing the LCM, we really want the GCF (greatest common factor) for use in the formula ...
LCM(m, n) = mn/GCF(m, n)
A rectangular fish pond has length 2m more than twice it's width. solve for the length and the width if the area of the pond is 63 meters square.
Answers
Given:
The area of the pond, A=63 m^2.
Let l be the length and w be the width of the rectangular pond.
It is given that the pond has length 2m more than twice it's width.
Hence, the expression for the length of the pond is,
\(l=2+2w\text{ ---(1)}\)Now, the area of the rectangular pond can be expressed as,
\(\begin{gathered} A=lw \\ =(2+2w)w \\ =2w+2w^2 \end{gathered}\)Since A=63, we get
\(\begin{gathered} 63=2w+2w^2\text{ } \\ 2w^2+2w-63=0\text{ ---(2)} \end{gathered}\)The above equation is in the form of a quadratic equation given by,
\(ax^2+bx+c=0\text{ ---(3)}\)Comparing equations (2) and (3), we get a=2, b=2, c=-63 and x=w.
Solve equation (2) for w using discriminant method.
\(\begin{gathered} w=\frac{-b\pm\sqrt[\square]{b^2-4ac}}{2a} \\ =\frac{-2\pm\sqrt[]{2^2-4\times2\times(-63)}}{2\times2} \\ =\frac{-2\pm2\sqrt[]{127}}{4} \end{gathered}\)Since width w cannot be negative ,
\(\begin{gathered} w=\frac{-2+2\sqrt[]{127}}{4} \\ =5.13 \end{gathered}\)Put w=5.13 in equation (1).
\(\begin{gathered} l=2+2\times5.13 \\ l=12.26 \end{gathered}\)Therefore, the length of pond is approximately 12.26 m and its width is approximately 5.13 m.
The city of Bangor, Maine has a scale model of Paul Bunyan nearly 30 feet tall. The model’s scale is 1:5. On the scale model, Paul Bunyan’s belt buckle is 12 feet from the ground. In real life, how far from the ground is Paul Bunyan’s belt buckle? The diameter of Paul Bunyan’s actual head is 9 inches. What is the diameter of the Paul Bunyan’s scale model head in feet?
Answers
The distance between of the belt buckle from the ground is 2.40 feet.
The diameter of the head is 3 3/4 inches.
What are the distance?A scale drawing is either an enlarged or reduced image of another image or object. A scale drawing is enlarged or reduced using a scale. A scale is a used to determine the ratio between the scale drawing and the original diagram.
The distance between of the belt buckle from the ground in real life would be greater than that of the scale drawing. Also, the diameter of the head would be larger in real life.
Distance between of the belt buckle from the ground = 12 / 5 = 2.40 feet
In order to determine the diameter of the scale head, first convert inches to feet.
1 inch = 1/12 feet
9/12 = 3/4 feet
Diameter of the scale head = 3/4 x 5 = 15/4 = 3 3/4 feet
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x2+10x+=()2
step by step
Answers
The value of the expression x² + 10x, when x = 2 is 24.
In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:
x² + 10x = 2² + 10(2)
Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.
10(2) means 10 multiplied by 2, which is 20.
So we can substitute these values in the expression:
x² + 10x = 2² + 10(2)
= 4 + 20
= 24
Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.
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The complete question:
Evaluate the expression x² + 10x, when x = 2.
add -12+20 then divide the sum by -4
Answers
Answer:
-2
Step-by-step explanation:
-12 + 20 = 8
8/-4 = -2
Answer:
-2
Step-by-step explanation:
add -12+20
20-12 = 8
Then divide by -4
8/-4 = -2
need help as fast as possible the question is 5(y+1)-y=4(y-1)+9
Answers
Answer:
All real numbers are solutions.
What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?
Answers
Answer:
the volume of the square pyramid is 2430 cubic cm
Answer:
1296 cm³
Step-by-step explanation:
V = a² x [√s²- (a/2)²] / 3
a = 18 cm
s = 15 cm
V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3
V = 324 x (√144/3) = 1296 cm³
some adults and children are watching a musical there are n children there are 25 fewer adults
Answers
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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