Answer:2
Step-by-step explanation:
59 to 1 sig. fig= 60
25 to 1 sig fig = 30
Therefore, 60/30 =2
Hope this helps :)
Answer:
2
Step-by-step explanation:
divide the numbers. then find the left furthest critical number.
count to the rifht by desired sig fig. use decimal to mark a place of significant zeros.
Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the x term is eliminated?
One-fifth x + three-fourths y = 9
Two-thirds x minus five-sixths y = 8
–10 times the first equation and 3 times the second equation
10 times the first equation and 3 times the second equation
–3 times the first equation and 5 times the second equation
3 times the first equation and 5 times the second equation
The numbers that can be multiplied by each equation so that when the two equations are added together, the x term is eliminated is: A. –10 times the first equation and 3 times the second equation.
How to solve these system of linear equations?In order to determine the solutions to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method.
Given the following system of linear equations:
1/5(x) + 3y/4 = 9 .........equation 1.
2x/3 - 5y/6 = 8 .........equation 2.
In this scenario, the number that should be used to multiply first equation can be calculated by using the following ratio:
Ratio = -(x-coefficient of second equation)/(x-coefficient of first equation)
Ratio = -(2/3)/(1/5)
Ratio = -10/3
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Write some examples of quadrilaterals
A two-dimensional form having four sides, four vertices, and four angles is referred to as a quadrilateral. Examples are: Trapezium, Parallelogram, Rectangle, Rhombus, Square and Kite.
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
The Latin words quadra, which means four, and latus, which means sides, are combined to form the English term quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides. As a result, depending on the sides and angles, we might have several sorts of quadrilaterals. Hence a Quadrilateral is of 4 sides, vertices and angles. It consists of 360 degrees.
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In the figure, triangle UVW is similar to triangle RST, VU=48, VW=18, and SR=24.
What is the value of x? Show all your work.
Answer:
x=9
Step-by-step explanation:
18/48=x/24
Cross multiply
48x=432
Divide
432/48=9
x=9
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find the length of the missing side leave your answer in simplest radical form
The length of the missing side in the given triangle is equal to option c. 5.
Figure is attached.
In the attached figure of a right angle triangle,
Let the triangle be named as ABC.
AC is the hypotenuse of a triangle.
AB is the altitude of a triangle.
BC is the base of a triangle.
Form the attached figure
Length of altitude AB = 3
Length of base BC = 4
Using Pythagoras theorem we have,
Hypotenuse² = Altitude² + Base²
⇒ AC² = AB² + BC²
Substitute the value we get,
⇒ AC² = 4² + 3²
⇒AC = √ 16 + 9
⇒ AC = √25
⇒ AC = 5
Therefore, the length of the missing side in the given triangle is equal to option c . 5.
The above question is incomplete, the complete question is:
Find the length of the missing side. Leave your answer in simplest radical form.
The triangle is not drawn to scale.
A.) 25
B.) 144
C.) 5
D.) Square root of 5
Figure is attached .
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The regular price on a pair of jeans is $54. The store advertises a back to school sale at 40% of the regular price of the jeans. Two weeks later, the store advertises a sale at an additional 20% off the sale price of the jeans. Two friends decided to purchase the jeans. Shannon says these jeans are now 60% of the regular price. Mary disagrees because she figures that the total discount is less than 60%. What is the cost of the jeans at the 40% off back-to-school sale. What is the cost of the jeans during the additional 20% off sale
Answer:
See explanation
Step-by-step explanation:
40% of the original $54 is $21.60, therefore the pants are $21.60 off of their original price. This makes the pants $32.40.
20% of the new $32.40 is $6.48, therefore the pants are $6.48 off of the 40%-off price. This makes the pants $25.92 for their final price.
If a system graphs as parallel lines, the system would have how many solutions?
Answer:
zero
Step-by-step explanation:
If a system of equations is graphed as 2 lines, then if the lines intersect, they intersect at one single point, and that point is the solution. There is one solution.
If the lines are parallel and do not intersect, then there is no solution. The number of solutions is zero.
Answer: zero
What does 500x235 equal?
Answer:
[tex]117500[/tex]
Step-by-step explanation:
[tex]500 \times 235=100\times (5\times 235)=1175 \times 100=117500[/tex]
Answer: 117,500
Step-by-step explanation: 500 x 235 = 117,500
Naomi has taken six science tests so far this year. The tests are out of 100 points, and she has gotten the following scores.
64, 88, 92, 86, 81, 92
What is the median of her scores?
no median
83.8
92
87
[tex]\lim_{x\to \023}[/tex][tex]\sqrt{x+2}-5/x-23[/tex]
The limit of the expression [tex]\lim_{x \to \223} \sqrt{x+2} -\frac{5\\}{x} -23[/tex] when evaluated is -18.22
What is a Limit?Limit is a value that a function approaches the output for the given input values.
How to determine the limit of the expressionFrom the question, we have the following limit expression that can be used in our computation:
[tex]\lim_{x \to \223} \sqrt{x+2} -\frac{5\\}{x} -23[/tex]
To find the limit tends to 23, we substitute 23 for x in the above equation
So, we have the following representation
[tex]\lim_{x \to \223} \sqrt{23+2} -\frac{5\\}{23} -23[/tex]
Evaluate the sum in the expression
[tex]\lim_{x \to \223} \sqrt{25} -\frac{5\\}{23} -23[/tex]
Evaluate the exponent and the fractions
Limit = 5 -5/23 -23
When the expression is evaluated, we have
Limit = -18.2173913043
Approximate
Limit = -18.22
Hence, the solution is -18.22
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At what points does the helix r(t) = sin(t), cos(t), t intersect the sphere x2 + y2 + z2 = 26? (round your answers to three decimal places. If an answer does not exist, enter dne. ).
At (0.958, 0.287, 5) and (0.958, -0.287, -5) points, the helix r(t) = sin(t), cos(t), t intersect the sphere x^2 + y^2 + z^2 = 26.
The sphere x^2 + y^2 + z^2 = 26 is a sphere with center at the origin and radius sqrt(26).
The helix r(t) = sin(t), cos(t), t is parameterized by sine and cosine functions, which oscillate between -1 and 1.
To find the points at which the helix intersects the sphere, we need to find the values of t such that the distance between r(t) and the origin is equal to sqrt(26).
The distance between a point (x, y, z) and the origin is given by the formula:
d = sqrt(x^2 + y^2 + z^2)
So, substituting the values from r(t), we have:
d = sqrt(sin^2(t) + cos^2(t) + t^2)
Setting d equal to sqrt(26), we have:
sqrt(sin^2(t) + cos^2(t) + t^2) = sqrt(26)
Squaring both sides, we have:
sin^2(t) + cos^2(t) + t^2 = 26
Recall that sin^2(t) + cos^2(t) = 1, so we have:
1 + t^2 = 26
Subtracting 1 from both sides, we have:
t^2 = 25
Taking the square root of both sides, we have:
t = ±5
So, the two points of intersection are (sin(5), cos(5), 5) and (sin(-5), cos(-5), -5).
Rounding the results to three decimal places, we have:
(sin(5), cos(5), 5) = (0.958, 0.287, 5)
(sin(-5), cos(-5), -5) = (0.958, -0.287, -5)
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Convert 8400 kilograms into tons. Round your answer to the nearest hundredth.
Answer:
9.26 tons
Step-by-step explanation:
8400 kilograms is 9.259415 tons and when you round to the nearest hundredth it is 9.26.
What is the difference between positive and negative z-score table?
Z-scores can be either positive or negative, with a positive number signifying a score above the mean and a negative value signifying a score below the mean according to the z-score table.
The statistical measurement known as the Z-score describes the relationship between a value and the mean of a group of values. Z-score is quantified by the standard deviations from the mean. The mean score and the data point's score are equal when the Z-score is 0. The Z-score for a value that deviates by one standard deviation is 1.0. Z-scores are binary, with a positive value denoting a score above the mean and a negative value denoting a score below the mean.
Equation of the z-score: z = ( x - μ ) / σ
Get the value corresponding to one decimal place of the z-score by first looking at the left side column of the z-table.
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if y varies inversly as x², and y=11/4
when x=4, find y when x=2
[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies inversely with }x^2}{y = \cfrac{k}{x^2}}\hspace{5em}\textit{we also know that} \begin{cases} x=4\\ y=\frac{11}{4} \end{cases} \\\\\\ \cfrac{11}{4}=\cfrac{k}{4^2}\implies \cfrac{11}{4}=\cfrac{k}{16}\implies \cfrac{(11)(16)}{4}=k\implies 44=k~\hfill \boxed{y=\cfrac{44}{x^2}} \\\\\\ \textit{when x=2, what's "y"?}\qquad y=\cfrac{44}{2^2}\implies y=\cfrac{44}{4}\implies y=11[/tex]
Answer:
y = 11 when x = 2
Step-by-step explanation:
This is indirect proportionality where:
y ∝ [tex]\frac{1}{x^{2}}[/tex]
This means:
[tex]y_{1} x_{1}^{2} = y_{2}x_{2}^{2}[/tex]
Substitute the following values in the above equation to solve for [tex]y_{2}[/tex]
[tex]y_{1} = \frac{11}{4}[/tex]
[tex]y_{2} = ?[/tex]
[tex]x_{1} = 4[/tex]
[tex]x_{2} = 2[/tex]
= [tex](\frac{11}{4})(4^{2}) = y_{2}(2^{2})[/tex]
= [tex](\frac{11}{4})(16) = y_{2}(4)[/tex]
= [tex]44 = 4y_{2}[/tex]
= [tex]y_{2} =\frac{44}{4}[/tex]
∴ y = 11
PLS HELP...... 4. John and Carol have both set up a proportion to solve for x in the diagram below.
John :
Carol:
Who is correct? Then solve for x.
What is the value of 186 lb in kg
The formula for converting pounds (lb) to kilograms (kg) is 1 lb = 0.45359237 kg. To convert from lb to kg, you simply multiply the value in lb by 0.45359237.
For example, to convert 186 lb to kg, you would need to perform the following calculation: 186 lb × 0.45359237 kg/lb = 83.99 kg. Therefore, the answer to the question is that 186 lb is equivalent to 83.99 kg. This can be written in a short form as 186 lb = 83.99 kg. It is important to note that this conversion is based on the International System of Units (SI) and is the most commonly used method for measuring weight. When converting between measurements, it is also important to consider the accuracy of the conversion. In this case, the conversion is accurate to nine decimal places. This means that the result is accurate to within 0.000000001 kg, which is an extremely small amount. As such, this conversion should be suitable for most practical applications.
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divide 3x^3-2x^2+4x-3 by x^2+3x+3
On dividing (3x³ - 2x² + 4x - 3) by (x² + 3x + 3), we get -
h(x) = 3x - 11 + {(28x + 30)/(x² + 3x + 3)}.
What is algebraic expression?An algebraic expression is a combination of terms both constants and variables. For example -
2x + 3y + z
3x + y
Given is to divide (3x³ - 2x² +4x - 3) by (x² + 3x + 3).
Let us assume that -
f(x) = (3x³ - 2x² + 4x - 3)
g(x) = (x² + 3x + 3)
We can write -
h(x) = f(x)/g(x)
h(x) = (3x³ - 2x² + 4x - 3)/(x² + 3x + 3)
h(x) = 3x + {(- 11x² - 5x - 3)/(x² + 3x + 3)}
h(x) = 3x - 11 + {(28x + 30)/(x² + 3x + 3)}
Therefore, on dividing (3x³ - 2x² + 4x - 3) by (x² + 3x + 3), we get -
h(x) = 3x - 11 + {(28x + 30)/(x² + 3x + 3)}.
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Fine the value of each variable show proofs
The value of x is 11.3
The value of y is 11.3
How to determine the valuesUsing the different trigonometric identities such as sine, cosine, tangent, secant, cosecant, cotangent.
To determine the value of x, we use the sine identity
sin θ = opposite/hypotenuse
sin 45 = x/16
Find the value
0.7071= x/16
cross multiply
x = 11.31
To determine the value of y, we get;
tan 45 = 11.3/y
Determine the value and cross mutiply
1 = 11.3/y
Then,
y = 11.3
Hence. the values are equivalent
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how much 3 million yen to usd ?
Answer:
about 23,000 usd
Step-by-step explanation:
If you want a quick way to translate yen to usd, take the yen amount and take away two zeros. So 3 mil yen would be 30,000. This method is a bit off but is quick and easy.
1 us dollar is about 130 yen
Translation: 2 units left and 1 unit down. Q(0,-1), D(-2,2), V (2,4), J(3,-3)
Translation: 2 units left and 1 unit down. Q(0,-1), D(-2,2), V (2,4), J(3,-3)
New coordinates are respectively, (-2, -2), (-4, 1), (0, 3), (1, -4)
What is the point?A point is a location of an object by taking reference of origin, In general case we consider it at (0,0), At the origin value of both the coordinate position is considered as Zero, In simple words point indicates how much it is above or below from the coordinate axes.
Vertical distance from the x axis is known as y coordinate and horizontal distance from the y axis is known as x coordinate.
Given the points Q(0,-1), D(-2,2), V (2,4), and J(3,-3),
we can see that each point has been translated 2 units to the left and 1 unit down.
This is because each x-coordinate has decreased by 2 and each y-coordinate has decreased by 1.
So, the translation of 2 units left and 1 unit down has moved each point along the plane in the negative x-direction and the negative y-direction.
the points are respectively (-2, -2), (-4, 1), (0, 3), (1, -4)
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Two polygons that has 3 more sides then the other
The attachment shows different types of polygons that have 3 more sides then the other.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now depending on these we have following five possibilities:
Case 1: Triangle and hexagon
If first polygon is triangle with three angles, the second will have 6 angles and the second polygon will be hexagon.
Case 2: Quadrilateral and heptagon
If first polygon is quadrilateral with 4 angles, the second will have 4+3 =7 angles and the second polygon will be heptagon.
Case 3: Pentagon and Octagon
If first polygon is pentagon with 5 angles, the second will have 5+3=8 angles and the second polygon will be octagon.
Case 4: Hexagon and Nonagon
If first polygon is hexagon with 6 angles, the second will have 6+3=9 angles and the second polygon will be nonagon.
Case 5: Heptagon and Decagon
If first polygon is Heptagon with 7 angles, the second will have 7+3=10 angles and the second polygon will be decagon.
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You want to purchase
a pair of shoes for the
summer. Normally
they cost $79.99.
They are on sale for
15% off, or you also
have a $10 off
coupon. Including
sales tax at 10.3%,
what is the total
savings between
using the coupon and
taking the discount?
Answer:
$2.21
Step-by-step explanation:
You want to know the savings between using a $10 off coupon and taking a 15% discount, if the tax rate is 10.3%.
CouponThe price with the coupon is ...
$79.99 -10.00 = $69.99
When tax is added, the total becomes ...
$69.99 × 1.103 ≈ $77.20
DiscountThe price with the discount is ...
$79.99 × (1 -0.15) ≈ $67.99
When tax is added, the total becomes ...
$67.99 × 1.103 ≈ $74.99
SavingsThe savings by making use of the discount is ...
$77.20 -74.99 = $2.21
The total savings between the coupon and the discount is $2.21. That is, you save $2.21 more by using the discount instead of the coupon.
__
Additional comment
The question seems a bit ambiguous. The word "or" suggests you cannot use both discounts. If you do, the total amount saved will depend on the order in which they are applied.
You get the best result by taking the $10 off the sale price. Doing that gives you a total savings of about $24.27 off the normal price with tax.
There are 128 teams in a softball tournament. In each
round, half of the teams are eliminated. Which function
can be used to find the number of teams remaining in
the tournament after x rounds?
We can say that function (C) y = 128(0.5)ˣ will help us to determine the number of teams remaining after x number of rounds.
What are functions?A relation between a collection of inputs and outputs is known as a function.
A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain.
The usual way to refer to a function is as f(x), where x is the input.
One function, many. function onto (Surjective Function) into perform.
The function of a polynomial.
So, by observation we can find out the function:
y = 128(0.5)ˣ
Assume the teams after 1st round:
y = 128(0.5)ˣ
y = 128(0.5)¹
y = 128*0.5
y = 64 (Half od 128)
Therefore, we can say that function (C) y = 128(0.5)ˣ will help us to determine the number of teams remaining after x number of rounds.
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A successful lawyer ownsthree vintage cars. The ratio of car is value to 1's value is 3:4. The ratio of car 2's value tocar 3's is 8:5. d the total value of three cars is $1115900, fins the value of each car
Answer: Let's represent the value of car 1 as x. Then, the value of car 2 is 3/4 of x, and the value of car 3 is 4/5 of the value of car 2.
So, we can write the following equations:
x = (3/4) * y
y = (4/5) * z
Where y is the value of car 2, and z is the value of car 3.
Adding all the values, we have:
x + y + z = 1115900
We can substitute the values of y and z in terms of x:
x + (3/4) * x + (4/5) * (3/4) * x = 1115900
Simplifying the expression on the left side, we get:
7/4 * x = 1115900
Finally, dividing both sides by 7/4, we get:
x = 359900
So, the value of car 1 is $359900, the value of car 2 is (3/4) * x = (3/4) * 359900 = 269925, and the value of car 3 is (4/5) * (3/4) * x = (4/5) * (3/4) * 359900 = 213140.
Step-by-step explanation:
Answer: the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.
Step-by-step explanation:
Let's call the value of car 1 "x".
From the first ratio, we know that the value of car 2 is 4/3 times greater than the value of car 1, and the value of car 3 is 3/4 times greater than the value of car 1.
So, the value of car 2 is 4/3 * x, and the value of car 3 is 3/4 * x.
From the second ratio, we know that the value of car 2 is 8/5 times greater than the value of car 3.
So, the value of car 2 is 8/5 * (3/4 * x) = 6/5 * x.
The total value of all three cars is $1115900, so we can set up an equation to solve for x:
x + 4/3 * x + 3/4 * x = 1115900
Expanding and simplifying the right side:
x + 4/3 * x + 3/4 * x = 1115900
8/3 * x = 1115900
x = 1115900 * 3 / 8
x = 467125
So, the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.
please help me on this
"Monica swam 9/16 of a mile on Tuesday. She swam 1 5/8 of a mile on Wednesday. She swam approximately 2 miles in all" is the true statement.
How to determine which statement is true?This a problem on addition and subtraction of fractions
Since Hope's dad gives her 7/8 of a chocolate bar one day and then gives her 6/12 of a chocolate bar the next day. Hope received approximately 1 chocolate bar. Total chocolate received will be:
Total chocolate received = 7/8 + 6/12 = 1 3/8
This statement is not true
Since Dee has 10/12 of a cake and gives 4/8 to her neighbor. Dee has approximately 1 cakes left. The cakes left will be:
cakes left = 10/12 - 4/8 = 1/3
This statement is not true
Since Joe ran 8/15 of a mile on Thursday. He ran 4/5 of a mile on Friday. Joe ran approximately 1/2 mile in all. The total mile ran will be:
total mile ran = 8/15 + 1/2 = 2 1/10
This statement is not true
Monica swam 9/16 of a mile on Tuesday. She swam 1 5/8 of a mile on Wednesday. She swam approximately 2 miles in all.
mile swam = 9/16 + 1 5/8 = 2 3/16
This statement is true
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PLS HELP i rlly don't understan this
Answer:
SInce 2 is 2 less than 4, the value of x+2 is 4 less than 31. So x+2=29
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since 2 is 2 less than 4, the value of x + 2 is 2 less than 31.
So, x + 2 = 29.
Write an exponential function for a graph that passes through the points (3, 2.8) and (4, 5.6) . Write the function in the form y=a(b)x.
The formula of the given exponential function whose graph passes through the points (3, 2.8) and (4, 5.6) is :
y = 0.35* (2)ˣ
What is an exponential function?
When the input variable x appears as an exponent in the formula
f(x) = aˣ, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x. It is mostly used to determine exponential growth or decay.
When there is exponential growth, the quantity grows initially extremely slowly and subsequently quickly. Over time, the rate of change quickens. As time goes on, the rate of increase accelerates. In exponential decay, the quantity initially falls very quickly and then gradually. Over time, the rate of change slows. As time goes on, change happens at a slower rate.
The general formula of an exponential function is:
y = abˣ
It is said that points (3, 2.8) and (4, 5.6) are present on the graph of the given exponential function.
W can substitute these value values in the above formula.
2.8 = ab³
5.6 = ab⁴
Dividing the above equations,
2.8 /5.6 = b³/b⁴
1/2 = 1/b
b = 2
Now substituting this value in one of the equations to find the value of a.
2.8 = a. (2)³
a = 2.8/8 = 0.35
Therefore the formula of the given exponential function is :
y = 0.35* (2)ˣ
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4. Suppose you draw four balls from a bag containing seven pink, four white, three yellow, and two stripped balls. What is the probability of drawing 1 pink, 2 yellow and, stripped ball in succession without replacing the ball each time?
5. If a pair of dice is rolled, what is the probability that we roll a total of five if we are given that the total is less than nine?
6. Suppose a card is chosen at random from a deck of cards, replaced, and a second card is chosen. What is the probability that both cards are 7s?
7. It cost $1 to play a game in which two dice are rolled. If both dice show the same number you win $5; otherwise, you lose. What is the expected value of this game?
4. The probability of drawing 1 pink, 2 yellow and, stripped ball in succession without replacing the ball each time is (7/16) x (1/35) x (1/13) = 1/2540.
5. The probability that we roll a total of five if we are given that the total is less than nine is (1/36) / (4/36) = 1/4.
6. The probability that both cards are 7s is (6/36) x ($5 - $1) + (30/36) x (-$1) = -$0.17.
7. The expected value of the game is a loss of 17 cents per play.
Probabilities of Games4. The probability of drawing 1 pink ball, 2 yellow balls, and 1 stripped ball in succession is given by the product of the probabilities of drawing each ball without replacement.
The probability of drawing 1 pink ball is 7/16, the probability of drawing 2 yellow balls is (3/15) x (2/14) = 1/35 (because there are 3 yellow balls in the bag out of 15 total balls on the first draw, and 2 yellow balls out of 14 total balls on the second draw), and the probability of drawing 1 stripped ball is 2/13. Therefore, the probability of drawing 1 pink ball, 2 yellow balls, and 1 stripped ball in succession is:
(7/16) x (1/35) x (1/13) = 1/2540
5. If the total is less than nine, then there are only 4 possible outcomes: (1, 4), (2, 3), (3, 2), and (4, 1). The probability of rolling each of these outcomes is 1/36, since each die has 6 equally likely outcomes. The only outcome that adds up to 5 is (1, 4), which has probability 1/36. Therefore, the probability of rolling a total of 5, given that the total is less than nine, is:
(1/36) / (4/36) = 1/4
6. The probability of drawing a 7 on the first card is 4/52, since there are four 7s in a deck of 52 cards. Since the card is replaced, the probability of drawing a 7 on the second card is also 4/52. Therefore, the probability of drawing two 7s in a row is:
(4/52) x (4/52) = 1/169
7. The expected value of the game is the sum of the products of the outcomes and their probabilities. There are 6 x 6 = 36 possible outcomes, each with probability 1/36. Of these outcomes, 6 are winning outcomes (where both dice show the same number), and 30 are losing outcomes. The payout for a winning outcome is $5, and the cost of playing the game is $1. Therefore, the expected value is:
(6/36) x ($5 - $1) + (30/36) x (-$1) = -$0.17
Therefore, the expected value of the game is a loss of 17 cents per play.
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19. The total number of students T who traveled for spring break
consists of two groups: students who flew to their destinations F and students who
drove to their destination D. The number (in thousands) of students who flew and
the total number of students who flew or drove can be modeled by the following
equations, where n is the number of years since 1995.
T = 14n + 21
F = 8n + 7
a. Write an equation that models the number of students who drove to their
destination for this time period. /
b. Predict the number of students who will drive to their destination in 2012.
c. How many students will drive or fly to their destination in 2015?
Write an explicit formula for a(n) the n^th term of the sequence 36,−6,1
What are the topics of algebra 1?
Algebra 1 covers a variety of topics in algebraic mathematics, including linear and quadratic equations, graphing, polynomials, exponents, factoring, rational expressions, inequalities, functions, and data analysis.
Algebra 1 is typically a high school level course that covers a variety of topics in algebraic mathematics. The specific topics covered can vary somewhat depending on the school or district, but some common topics in Algebra 1 include:
1. Linear equations: Solving for unknowns in linear equations and systems of linear equations.
2. Quadratic equations: Solving for unknowns in quadratic equations and understanding their properties.
3. Graphing: Graphing linear and quadratic functions, and understanding their properties such as slope and intercepts.
4. Polynomials: Understanding and manipulating polynomials of different degrees.
5. Exponents: Understanding and working with exponential functions and expressions.
6. Factoring: Factoring polynomials and other algebraic expressions.
7. Rational expressions: Simplifying and manipulating rational expressions, and solving equations involving them.
8. Inequalities: Solving and graphing inequalities, including absolute value inequalities.
9. Functions: Understanding the concept of a function, and working with linear and quadratic functions.
10. Data analysis: Using algebraic methods to analyze and interpret data, including creating and interpreting graphs and tables.
These are some of the main topics that are typically covered in Algebra 1, though the exact curriculum can vary depending on the specific school or district.
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