The total cost of the materials Mr. Gaytan will use to make these name tags is 27.2 cents.
To find the total cost of the materials Mr. Gaytan will use to make the name tags, we need to calculate the total number of name tags and then multiply it by the cost per name tag.
Mr. Gaytan will make name tags for 55 football players and 25 basketball players, so the total number of name tags will be 55 + 25 = 80.
The cost for each name tag is 34 cents. To find the total cost, we multiply the cost per name tag by the total number of name tags:
0.34 * 80 = 27.2 cents.
Therefore, the total cost of the materials Mr. Gaytan will use to make these name tags is 27.2 cents. Remember that cents is a unit of currency used to measure very small amounts of money.
The options in the question should be:
A. 2x+2(2x-20)>70
B. x+(x-20) > 70
C. 2x+2(x-20)> 70
D. x+(2x-20) > 70
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37/50 of a number is what percentage of that number?
Answer:
74% percentage of 37/50
Answer:
74%
Step-by-step explanation:
37/50 * 100 = 74%
When you want to obtain percentages, in most of the cases you multiply by 100.
Identify the lateral area and the surface area of a right rectangular prism with a 12cm by 10cm base and height 16cm.
Answer:
944 cm²
Step-by-step explanation:
get the area of each side: 12*10+10*16+12*16= 472
2 sets of each side: 944
Using the distance formula √(x₂ - x₁)² + (y₂ - y₁)² , find the distance from the center of your habitat to the point (x, y). Write this equation. Your answer will contain x- and y-terms. (1 point)
The distance from the center of the habitat, located at (10, 4.25), to any point (x,y), is given as follows:
\(D = \sqrt{(x - 10)^2+(y - 4.25)^2}\)
How to obtain the distance between two points?Suppose that we have two points of the coordinate plane, and the ordered pairs have coordinates \((x_1,y_1)\) and \((x_2,y_2)\).
The shortest distance between them is given by the equation presented as follows, derived from the Pythagorean Theorem:
\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
Hence, the distance from any point (x,y) to point (10, 4.25) is given as follows:
\(D = \sqrt{(x - 10)^2+(y - 4.25)^2}\)
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HELPPPPPPPP i need it asap
Answer:
3.6
Step-by-step explanation:
The square root of 13 is 3.60555127546, which rounds to 3.6.
Answer:
3.6
Step-by-step explanation:
When you put √13 into the calculator, you get 3.60555127...
Since the first number after the decimal is the tenths place, we would round our number to 3.6
(0 . tenths hundredths thousandths etc.)
Hope this helped!
i need help (-4z2-11u)-5z2
Two terms, \(-4z^2\) and \(-5z^2,\) both involving the variable z of degree 2, form an equation. We combine these similar concepts to make the expression more concise.
Adding or deleting terms raised to the same power(s) with the same variable(s) is known as combining like terms. Since both terms contain z2 in this example, we can add them.
We can combine like terms to simplify the expression\((-4z^2 - 11u) - 5z^2\).
It is possible to rewrite the expression\((-4z^2 - 11u) - 5z^2\) as:
\(-4z^2 - 5z^2 - 11u\)
The terms with the same variable (z) and constant term (-11u) can now be combined as follows:
\((-4 - 5)z^2 - 11u\)
Even more simply, we have:
\(-9z^2 - 11u\)
As a result, the expression\((-4z^2 - 11u) - 5z^2\) can be written as \(-9z^2 - 11u.\)
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Your question is incomplete, most probably the complete question is:
Simplify this equation:
\((-4z^2 - 11u) - 5z^2\)
a recent poll showed what percentage of those between the ages of eight and eighteen could be classified as video game addicts?
The poll's results indicated that approximately 8.5% of individuals between the ages of eight and eighteen could be classified as video game addicts.
This percentage suggests that a significant number of young people are struggling with excessive video game use, which can have negative consequences for their mental and physical health, academic performance, and social relationships.
It's important to note that not all video game use is harmful or addictive. Many individuals enjoy playing video games in moderation, and some even use them as a way to connect with friends and family or improve their cognitive skills.
According to the pie chart the resulting percentage is 8.5%.
However, excessive video game use can lead to addiction, which can be challenging to overcome.
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Pick all the correct statements from below. It is possible to have x
2
dx=0, ever when a pro 0 . ∥v
r
Av<0, then the matrix A rotates the vectore by moie than 90
∘
. The matrix B
2
AB is positive dehuite if A is pesitive thethite If the trace of a matik is zero, then it must be a singtalar matik. A rquare matrix and liss transpose both have the salle set of eheetwatiess A real shuare matix lias only real ehenvalues. Consider a matrix A∈R
6×8
whose rank is 4. Pick up the correct statements from the following. The dimension of the row space is 4. The dimension of the null space of A is 2 . The dimension of the left null-space is 4. Every element in the row space is mapped to a unique element in the column space by the linear transformation given by A. The dimension of the null space of A is 4.
The answer is, the correct statement are , 1. The matrix B² is positive definite if A is positive definite. ,2. A square matrix and its transpose have the same set of eigenvectors. , 3. A real square matrix has only real eigenvalues. , 4. The dimension of the row space of a matrix A with rank 4 is 4. , 5. The dimension of the null space of matrix A is 4.
the correct statements from the options provided:
1. The matrix B² is positive definite if A is positive definite.
2. A square matrix and its transpose have the same set of eigenvectors.
3. A real square matrix has only real eigenvalues.
4. The dimension of the row space of a matrix A with rank 4 is 4.
5. The dimension of the null space of matrix A is 4.
Please note that the statements regarding the values of x, dx, v, r, Av, and trace are incomplete or incorrect, so I have not included them in my answer.
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Question 1: To enter their home, the Cepeda family types in a 4 digit
code. How many codes are possible? *
40
10
1,000
10,000
So the first digit could be 0-9.
second is the same 0-9
And the 3rd 0-9 and lastly the 4th 0-9
There is a \(\frac{1}{10} *\frac{1}{10} *\frac{1}{10}* \frac{1}{10}\) chance that they will get it right by guessing.
So that means a \(\frac{1}{10000}\) chance that they will get it right.
So their are 10000 possible codes.
I know how to do this, but for some reason got it wring on a Test. Can someone demonstrate how to do it so that I know what I'm doing wrong?
Answer:
Answer on a graph
What value of c makes the equation true? Assume x>0 and y>0 3√x^3/cy^4=x/4y(3√y) c = 12 c = 16 c = 81 c = 64
The value of c that makes the equation true is c = 64, when x = 6 and y = 3.
To find the value of c that makes the equation true, we can start by simplifying both sides of the equation using exponent rules and canceling out common factors.
First, we can simplify 3√(x^3) to x√x, and 3√y to y√y, giving us:
x√x/cy^4 = x/4y(y√y)
Next, we can simplify x/4y to 1/(4√y), giving us:
x√x/cy^4 = 1/(4√y)(y√y)
We can cancel out the common factor of √y on both sides:
x√x/cy^4 = 1/(4)
Multiplying both sides by 4cy^4 gives us:
4x√x = cy^4
Now we can solve for c by isolating it on one side of the equation:
c = 4x√x/y^4
We can substitute in the values of x and y given in the problem statement (x>0 and y>0) and simplify:
c = 4x√x/y^4 = 4(x^(3/2))/y^4
c = 4(27)/81 = 4/3 = 1.33 for x = 3 and y = 3
c = 4(64)/81 = 256/81 = 3.16 for x = 4 and y = 3
c = 4(125)/81 = 500/81 = 6.17 for x = 5 and y = 3
c = 4(216)/81 = 64 for x = 6 and y = 3
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When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are:
When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are statistically significant.
In statistical analysis, we use hypothesis testing to determine whether the results of a sample are likely to be representative of the population as a whole. If the results are statistically significant, we can infer that there is a low probability that the observed differences between the sample and the population occurred by chance alone.
This allows us to generalize the findings from the sample to the larger population with a reasonable degree of confidence.
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Keisha bought 4 books and 2 bookmarks at the library book sale. Each book cost $2.50. Each bookmark costs $1.95. Keisha paid with a $20.00 bill. How much change did she get?
A.$6.20
B.$7.20
C.$15.55
D.$6.10
Answer:
A= $6.10
Step-by-step explanation:
1 book = $2.50
4 books = $10.00
1 bookmark = $1.95
2 bookmarks = $3.90
3.90 + 10.00 = $13.90
20.00 - 13.90 = $6.10
which of the following is an area of mathematics that studies how competing parties interact
An area of mathematics that studies how competing parties interact is known as "game theory."
Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.
Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.
The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.
Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.
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There’s a picture of my question plz help :)
Answer:
1,534 inches squared
Step-by-step explanation:
To find surface area we just solve for the area of all the sides and add those together. A rectangular prism (a box like above) has 6 sides. There are...
2 sides each of the following dimensions:
2(13×26)=
2(338)=676
2(13×11)=
2(143)=286
2(26×11)=
2(286)=572
Add the area of all 6 sides...
676+286+572=1,534
Remember it is squared not cubed.
helllpppp!!!!!!!!!!!
Answer:
m∠1 = 148° and m∠2 = 32°
Step-by-step explanation:
m∠1 + m∠2 = 180° (supplementary angles)
4x° + (x - 5)° = 180 (substitution)
4x + x - 5 = 180
5x - 5 = 180
5x = 185
x = 37
m∠1 = 4(37)° =148° and m∠2 = (37 - 5)° = 32°
4 of 8
Given that y = 6 cm and 0 = 32", work out I rounded to 1 DP.
x =
Answer:
\(x=3.18\) \(cm\)
Explanation:
\(x=3.18\) \(cm\)
Substitute \(y=6 cm\) into \(\frac{}{AC} =y:\frac{}{AC} =6cm\)
Substitute \(0=32\) into ∠\(CAB=0:\) ∠\(CAB=32^o\)
sinA=leg opposite ∠A/hypotenuse : \(sin(CAB)=\frac{\frac{}{BC} }{\frac{}{AC} }\)
Substitute \(\frac{}{BC} =x,\frac{}{AC}=6cm,\) ∠\(CAB=32^o\)
into sin(∠\(CAB\)) \(=\frac{\frac{}{BC} }{\frac{}{AC} }:sin(32^o)=\frac{x}{6}\)
Calculate \(sin(32^o)=\frac{x}{6} :x=3.18cm\)
12, 17, 22, ...
Find the 36th term.
Answer:
187
Step-by-step explanation:
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
The value of 36th term is 187.
What is arithmetic progression?An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.
abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.
Given series
12, 17, 22,.....
since the series is in AP because the difference between any two consecutive numbers is equal,
17 - 12 = 5 and 22 - 17 = 5
for nth term of AP
aₙ = a₁ + (n - 1)d
where a₁ = 12, n = 36, d =5
a₃₆ = 12 + (36 - 1)5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
Hence 187 is the 36th term.
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175% of a number is 49. Find the number?
write an equation of the line that passes through (-4,1) and is perpendicular to the line y= -1/2x + 3
The equation of the line that passes through (-4,1) and is perpendicular to the line y= -1/2x + 3.
We are given that;
Point= (-4,1)
Equation y= -1/2x + 3
Now,
To find the y-intercept, we can use the point-slope form of a line: y - y1 = m(x - x1), where m is the slope and (x1,y1) is a point on the line. Substituting the values we have, we get:
y - 1 = 2(x - (-4))
Simplifying and rearranging, we get:
y = 2x + 9
Therefore, by the given slope the answer will be y= -1/2x + 3.
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If you make $2500 in Gross Income every month, but 35% is taken out in taxes, what will your monthly Net Income paycheck be?
$2500
$875
$1500
$1625
Answer:
$1625
Step-by-step explanation:
35% of 2500 is 875 so you subtract and you get 1625.
Which of the following combinations could
be three sides of a triangle?
Answer:
C
D
1,2,3,4,5,6 And 7
Step-by-step explanation:
1. By the nature of triangles, the sum of the two sides has to be greater than the third and the difference between two sides has to be less than the third side.
A. 5+6=11 Wrong
B. 1+3<5 Wrong
C. 5+16>20 Right
16-5<20
D.7+7=14 Wrong
2. Two sides of a Triangle are 15 and 8
A. 8+9>15 15-8<9 Can
B. 8+13>15 15-8<13 Can
C. 15+8>21 21-8<15 Can
D. 15+8<25 Cannot
3. According to the Trilateral Relation of Triangle
Let's say the length of the third side is X (X≠Z)
i. 4-4<x x>8 0<X>8 (X≠Z)
4-4>x x<8
i. In 0,1,2,3,4,5,6,7,8,9,10
X could be 1,2,3,4,5,6, and 7
TRIANGLE
A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon.
Each triangle has three sides and three angles, with some of the angles being the same.
In the case of a right triangle, the side opposite the right angle is known as the hypotenuse, while the other two sides are known as the legs.
Trilateral Relationship of Triangle
A trilateral is a shape with three sides in geometry. 'Of trilateral figures, an equilateral triangle is one with three equal sides, an isosceles triangle is one with two equal sides, and a scalene triangle is one with three unequal sides.'
Triangle Inequality
The triangle inequality asserts that the sum of the lengths of any two sides of a triangle must be larger than or equal to the length of the remaining side in mathematics.
The condition of the triangle's sides
According to the triangle inequality, the lengths of any two triangle sides must be more than or equal to the length of the third side. Only a degenerate triangle with collinear vertices can have that total equal to the length of the third side.
If and only if the side lengths satisfy the triangle inequality, a triangle with three given positive side lengths exists.
the margin of error of a confidence interval is the error from biased sampling methods. t or f
False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.
What are statistics and their various forms?Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.
What are the two primary statistical methods?Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.
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Are the lines of equations
x = −2 + 2t, y = −6, z = 2 + 6t and
x=−1+t,y=1+t,z=t, t∈ R, perpendicular to each other?
The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.
Given lines of equations:
x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.
Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.
Let `t=2`, then the point on the line is
\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T
herefore, direction vector `
\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)
For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)
Let the angle between the direction vectors `v1` and `v2` be `θ`.
Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.
Thus, we have:
(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ
=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)
Therefore,
`θ = cos⁻¹(8/(4√10))`
which is approximately `28.07°`.
Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.
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Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4
Answer:
D. x=4 did the test on edge
Step-by-step explanation:
Drag the coordinates of a point and the slope to find the y-intercept for a line
slope: m= 5
point: (4,53)
y = mx +b
53 = 5(4) + b
53 = 20 + b
= b
The blocks will be filled as follows -
y = 5(x) + b
33 = b
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the slope of the line passing through the point (4, 53).
Now, from the question, we can write -
y = 5x + b
For the point -
(4, 53)
We can write -
53 = 5 x 4 + b
b = 53 - 20
b = 33
Therefore, the blocks will be filled as follows -
y = 5(x) + b
33 = b
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Hell meeeeeeeeeeee please
Answer:
OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy
In Exercises 9-12, at the indicated point find
(a) the slope of the curve,
(b) an equation of the tangent, and
(c) an equation of the normal.
(d) Then draw a graph of the curve, tangent line, and normal
line in the same square viewing window.
9. y=x² at x = -2
Answer:
y'(-1*2 )= -4
Step-by-step explanation:
y'=2x
y'(-1*2) = 2 ⋅ (-2)
-4
y'(-1*2) = -4
Answer:
(a) slope: -4
(b) tangent: y -4 = -4(x +2)
(c) normal: y -4 = 1/4(x +2)
(d) graph: see attached
Step-by-step explanation:
You want the slope of the curve, and equations for the tangent and normal lines at x = -2 when y = x².
(a) SlopeThe slope of the curve is given by the derivative.
y' = 2x
At x = -2, the slope is
y' = 2(-2) = -4
The slope of the curve at x=-2 is -4.
(b) Equation of the tangentThe value of y at x=-2 is ...
y = (-2)² = 4
The point-slope equation of the line with slope -4 through point (-2, 4) is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -4 = -4(x +2) . . . . . . line with slope -4 through point (-2, 4)
(c) Equation of the normalThe normal has the opposite reciprocal slope at the point of tangency.
y -4 = 1/4(x +2) . . . . . . . line with slope 1/4 through point (-2, 4)
(d) GraphSee the attachment for a graph.
What is the equation of the circle with: center (5, 7) & point on the circle: (-2, 8)?
Answer: (x - 5)^2 + (y - 7)^2 = 50
Step-by-step explanation:
The general equation for a circle is (x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre
Use Pythagoras to find r^2
r^2 = (5 - -2)^2 + (7 - 8)^2
= 7^2 + (-1)^2
= 50
So the circle is (x - 5)^2 + (y - 7)^2 = 50
How to tell if a system of equations has no solution or infinitely many matrix?
Checking nonzero rows in the matrix is the first step in determining whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.
What does matrix mean?
A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The elements, or entries, of the matrix are the integers.
In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.
What are types and a matrix?
The dimensions or size of a matrix are determined by these rows and columns. There are several different kinds of matrices, including row matrices, column matrices, null matrices, square matrices, diagonal matrices, and upper and lower triangular matrices.
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Answer:
First, you have to check the nonzero rows in the matrix to determine whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.
Step-by-step explanation:
What is a matrix?
A matrix is a collection of numbers that are arranged in a row and column format in a rectangular or square form depending on the size of their rows and columns.
Operation on matrices:1. Addition: Any numbers of the same index can be added.
2. Subtraction: Any numbers of the same index can be subtracted.
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Adult tickets to the fall play cost $8 and student tickets cost $4. The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected 840 from ticket sales, how many adult tickets were sold?
The number of adult tickets that were sold would be = 435 tickets.
What is a ticket?A ticket is an official document that gives an individual access to an event.
The cost of adult tickets = $8
The cost for student tickets = $4
The number of students tickets sold = X
The number of adults tickets sold = X +30
The told number of tickets sold = 840
To find X;
X + X + 30 = 840
2x + 30 = 840
2x = 840-30
2x = 810
X = 810/2
X = 405
Therefore, the number of tickets sold for adults = 405 +30 = 435 tickets.
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