The vector vec{a} = (1.5, -1) points into the second quadrant.
To determine this, we look at the signs of the components of the vector. Since the x-component is positive (1.5) and the y-component is negative (-1), the vector is in the quadrant with positive x-values and negative y-values, which is the second quadrant.
The plane is divided into four infinite areas known as quadrants, each of which is bounded by two half-axes, using two-dimensional Cartesian axes. Roman numerals I (where the signs of the (x; y) coordinates are I (+; +), II (-; +), III (-;-), and IV (+;-) are frequently used to identify these.
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ERROR ANALYSIS Describe and correct the error in evaluating
the expression.
X
(-81) 3/4 = [(-81) ¹/4]3 |
= (-3)³
= -27
27 is the equivalent expression of (-81) and the evaluation of the expression's value is solved by dividing it by three-fourths.
what is expression ?You can multiply, reduce, add, or take something away in mathematics. An expression is put together as follows: Expression, numeric value, and math operator A mathematical expression is composed of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Contrasting phrases and expressions is possible. An algebraic expression is any mathematical statement that has parameters, quantities, and an arithmetic operation. As an illustration, the phrase 4m + 5 consists of the terms 4m and 5, as well as the given equation's variable m, all of which are isolated by that of the algebraic sign +.
given
Condense the phrase.
= (-81)^ 3/4 = (-81)^ 3/4
the common factor of 4 = 3^3 is canceled.
Raise 3 to the power of 3
= 27
27 is the equivalent expression of (-81) and the evaluation of the expression's value is solved by dividing it by three-fourths.
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In how many ways can 10 people be seated around a circular table?
A. 3,628,800
B. 362,880
C. 1,814,400
D. 181,440
Casho spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.4°F. Between 9am and noon, the temperature rose 9.5°F. Between noon and 3pm, the temperature went down 10°F. Between 3pm and 6pm, the temperature went down 18.6°F. What was the temperature at 6pm?
The temperature at 6 P.M. would be - 29 °F.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Casho spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.4°F. Between 9 am and noon, the temperature rose 9.5°F. Between noon and 3 pm, the temperature went down 10°F. Between 3 pm and 6 pm, the temperature went down 18.6°F.
Temperature at 9 A.M. = - 10.4°F.
At noon, the temperature would be = - 10.4°F + 10°F = - 0.4°F
At 3 P.M., the temperature would be = - 0.4°F - 10°F = - 10.4°F
At 6 P.M., the temperature would be = - 10.4°F - 18.6°F = - 29 °F
Therefore, the temperature at 6 P.M. would be - 29 °F.
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Which expreion i equal to 5 2 2 5 tart fraction, 5, divided by, 2, end fraction?
The equivalent expression to the given expression ( 5/2) + 2( 2/5) + 7 is given by 11 ( 9 /10) .
Simplify the expression to get the equivalent expression:
( 5/2) + 2( 2/5) + 7
Convert mixed fraction 2( 2/5) into proper fraction we get:
2 ( 2 / 5 ) = ( 5 × 2 + 2 ) / 5
= 12 / 5
Now, take the least common multiple of denominator we have:
( 5 / 2 ) + ( 12 / 5) + 7 / 1
Least common multiple of 2, 5, 1 is 10
( 5/ 2 ) × ( 5 / 5 ) + ( 12 / 5 )× ( 2/2) + ( 7 / 1) × ( 10 /10)
=( 25 / 10) + ( 24 /10) + ( 70 /10)
= ( 25 + 24 + 70 ) / 10
= 119 / 10
= 11 ( 9 /10)
Therefore, the equivalent expression is equal to 11 ( 9 /10).
The given question is incomplete, I answer the question in general according to my knowledge:
Which expression is equivalent to the given expression :
( 5/2) + 2( 2/5) + 7
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In a right triangle, the lengths of the legs are a and b. Find the length of the hypotenuse, if a=5, b=6
Answer:
√61
Step-by-step explanation:
Pythagoras Theorem states that :
a²+b²=c²
Where c is the hypotenuse and a and b are the lengths of the legs
So this formula needs no adjustments and only substituting values:
5²+6² = c²
25+36= c²
61 = c²
Square root both sides
c = √61
Hope this helped and have a good day
Make a polynomial of the highest degree by using the whole numbers 1 through 9 at most one
time each.
The Polynomials which is of the highest degree using the whole numbers 1 through 9 as required is; x⁹ + x⁸ + x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x.
Which is an example of a polynomial of the highest order?As required in the task content, it is required that the polynomial of the highest degree by using the whole numbers 1 through 9 at most one
time each is to be determined.
Hence, an example of such polynomial as required is; x⁹ + x⁸ + x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x.
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(a) Work out an estimate for the value of √63.5 x 101.7
The estimate for the value of √63.5 x 101.7 is 816
How to determine the estimate of the expressionTo estimate the value of √63.5 x 101.7, we can round 63.5 and 101.7 to the nearest whole number and then find the square root and product.
Rounding 63.5 to the nearest whole number, we get 64.Rounding 101.7 to the nearest whole number, we get 102.So, √63.5 x 101.7 ≈ √64 x 102 = 8 x 102 = 816
Therefore, the estimate is 816
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In a right angle triangle, the length of the opposite side of an angle is 3cm and the length of the hypotenuse is 5cm. The value of the angle is
Answer: 36.87 degrees.
Step-by-step explanation:
In a right-angle triangle, the length of the opposite side of an angle and the length of the hypotenuse can be used to find the value of the angle using the trigonometric ratios.
If we let the angle in question be denoted as "theta" and the length of the opposite side be "opp" and the length of the hypotenuse be "hyp", we can use the trigonometric ratio "sine" to find the value of the angle.
sin(theta) = opp/hyp
We are given that opp = 3 cm and hyp = 5 cm, so we can substitute these values into the equation:
sin(theta) = 3/5
We can now use an inverse trigonometric function, such as arcsin, to find the value of theta:
theta = arcsin(3/5)
The result of this calculation is theta = approximately 36.87 degrees. Therefore, the value of the angle is 36.87 degrees.
Answer:
30 mm
Step-by-step explanation:
3 x 10 mm ? hopefully its the right answer for you
Write the tax schedule notation, compound inequality notation, and interval notation that would apply to an income of $172,876.99.show work
(a) Tax Schedule Notation (b) Interval Notation (c) Compound Inequality Notation
(a)Tax Schedule Notation:
Income Tax = 37% * ($172,876.99 - $518,400) + $208,725
(b) Interval Notation: $172,876.99 ∈ [$518,400, ∞)
(c) Compound Inequality Notation: $518,400 < $172,876.99 < ∞.
What is the inequality notation?
An inequality is a mathematical statement that represents the relationship between two quantities but states that they are not exactly equal. The four symbols of inequality notation are. ≥,>,<,and≤
(a) Tax Schedule Notation:
Income Tax = Tax bracket rate * (Income - Bracket Lower Bound) + Fixed Amount
Example:
Income = $172,876.99
Tax bracket rate = 37% (for 2022 taxes, 37% applies to taxable income over $518,400 for singles)
Bracket Lower Bound = $518,400
Fixed Amount = $208,725 + 37% * ($172,876.99 - $518,400)
Income Tax = 37% * ($172,876.99 - $518,400) + $208,725
(b) Interval Notation:
The interval notation for the income $172,876.99 would be $172,876.99 ∈ [$518,400, ∞)
(c) Compound Inequality Notation:
The compound inequality notation for the income $172,876.99 would be $518,400 < $172,876.99 < ∞.
Hence, (a)Tax Schedule Notation:
Income Tax = 37% * ($172,876.99 - $518,400) + $208,725
(b) Interval Notation: $172,876.99 ∈ [$518,400, ∞)
(c) Compound Inequality Notation: $518,400 < $172,876.99 < ∞.
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For what value of x is the rational expression below equal to zero?
20+2x
5-x
OA. 5
OB. -10
O C. 10
OD. -5
SUBMET
The value of x the will make 20+2x to be zero is
-10 ( option C)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
The expression 20+x is a linear expressions when it is equated to zero it is a linear equation.
20+2x = 0
collect like terms
x = 0-20
2x= -20
x = -20/2
x = -10
Therefore the value of x that make 20+2x to be zero is -10
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find the average value of the function f(x)=cos(x) on the interval [0,π] and determine a number c in this interval for which f(x) is equal to the average value.
a) Average value = 1, c = pi b) Average value = 1/2, c = pi/2 c) Average value = 0, c = pi/2 d) Average value 1/2, c = 0 e) Average value = 0, c = 3 pi/4
The average value of the function f(x)=cos(x) on the interval [0,π]=0 and c=pi/2.
The average value of a function is the height of the rectangle that has an area that is equivalent to the area under the curve of the function. If you look at the picture below, you know already that the integral of the function is all of the areas between the function and the x-axis
The average value of the function f(x)=cos(x) on the interval [0,π] and determine a number c in this interval for which f(x) is equal to the average value.
The average value of the function f(x) on interval [0,pi]
can be evaluated through the following expression:
[tex]A.V=\frac{1}{(b-a)}{\int_a^b f(x) dx[/tex]
Here we have f(x)= cosx and interval [0,pi]
[tex]A.V = \frac{2}{\pi}{\int_0^{\pi} cosx dx\\\\=2/\pi[sin\pi-sin0]\\=0.[/tex]
Avarege value 0 and c=pi/2.
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solve for the missing parts of the diagram below
Opposite angles of a parallelogram are congruent.
[tex]9x-13=14+6x \\ \\ 3x-13=14 \\ \\ 3x=27 \\ \\ x=9[/tex]
This means [tex]m\angle ADC=68^{\circ}[/tex].
Which one of the following is a result of the normal probability distribution being bell-shaped?
The mean, median, and mode are at the center
The area on the right side of the mean is greater than the area on the left.
The area on each side of the mean equals 1.00
The mean is further in the right tail than the median is
The result of the normal probability distribution being bell-shaped is that the mean, median, and mode are at the center.
This means that the center of the bell-shaped curve represents the most likely occurrence of the data and that the values are symmetrically distributed around the mean.
The mean, median, and mode of a normal distribution are equal, which means that they are all located at the center of the bell-shaped curve. This is an important characteristic of the normal distribution and sets it apart from other distributions where the mean, median, and mode may not be equal.
In a normal distribution, the area on each side of the mean does not equal 1.00, but rather approaches 1.00 as the curve becomes more symmetrical. The height of the curve at the mean represents the highest probability of occurrence, and the probabilities decrease as the values deviate from the mean.
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In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student chosen randomly from the class is a female?
Female Male
Has an A 5 2
Does not have an A 7 11
Answer:
Answer:
your answer should be 8 according to the bearing given
You have learned a lot about logs in a short time. Use what you have learned x far to complete the parts below. a. Why does your calculator compute log(6)=0.778?
The equivalent of log (6) = 0.778 indicates the logarithmic base 10 of 6 is approximately 0.778.
Logarithms are a mathematical concept that are used to simplify exponential calculations. They are the inverse of exponents and are denoted as log base b (x), where b is the base of the logarithm and x is the number you want to find the logarithm of.
In this case, when your calculator computes log (6) as 0.778, it means that the logarithm base 10 of 6 is approximately 0.778.
=> log₁₀ 10 = 1 (10¹ = 10).
=> log₁₀ 6 = 0.778, because [tex]10^{0.778}[/tex] is approximately 6.
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a mathematics professor created a test that was supposed to be mostly easy except for two challenging problems. the scores of the students are shown in the dot plot below. what was the highest grade? a dot plot has a horizontal axis labeled test score percentage from 70 to 100 in increments of 5. columns of dots are plotted over horizontal coordinates with heights as follows, where the horizontal coordinate is listed first and the number of dots in the column is listed second: 70, 1; 71, 1; 74, 1; 75, 2; 76, 2; 77, 3; 78, 2; 79, 4; 80, 5; 81, 5; 82, 6; 83, 7; 84, 7; 85, 9; 86, 11; 87, 13; 88, 14; 89, 15; 90, 14; 91, 13; 92, 2; 93, 2. do not include a percent symbol with your answer.
A mathematics professor created a test that was supposed to be mostly easy except for two challenging problems, the highest grade was 93.
Data is encoded in a dot or tiny circle using a dot plot. The distribution of numerical variables is depicted on a number line in the dot plot, where each dot represents a value.
Any data that may be shown as dots or tiny circles is called a dot plot. Given that the height of the bar created by the dots represents the numerical value of each variable, it is comparable to a bar graph or a simplified histogram. Small amounts of data are shown using dot plots.
Mathematical procedures are comparable to those of a soda vending machine. You can choose from a variety of sodas after you deposit a particular sum of money. Similar to how we enter different numbers into functions, we also receive new numbers as the outcome. The two essential characteristics of functions are domain and range.
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8. Tyler and Jada wish to find the value of x, B the length of side BC in this triangle. Tyler decides to set up the equation 8 tan(56) = . Jada says she prefers an X equation that has x in the numerator. What is an equation she could use instead?
The equation she could use is 8 tan(56) =x. the value of x is 4.89
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that Tyler and Jada wish to find the value of x, B the length of side BC in this triangle.
Tyler decides to set up the equation 8 tan(56) =x
So, 8 tan(56) =x
x = 8 (0.611)
x = 4.89
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(1 pt) Find the value(s) of a making v= 3ai+2j parallel to w=(a^2)i+6j
The vectors v and w must be parallel if the value of an is 3/a2.
The parts of each vector must be proportionate for v to be parallel to w.
v = 3ai + 2j
w = (a^2)i + 6j
Therefore,
3a / a^2 = 2 / 6
3a = (2/6)a^2
a = 3/a^2
The components of each vector must be proportionate in order to make two vectors parallel. In this situation, we wish to make v parallel to w because we have two vectors, v and w. We can use the following equations to express v and w:
v = 3ai + 2j
w = (a^2)i + 6j
We need to determine the ratio between the x-components (3a and (a2)) and the y-components (2 and 6), as we can see that they are not currently proportionate. To do this, we can construct a proportional equation where the ratio is 3a / a2 on one side and 2/6 on the other. This problem can be solved for a by simplifying the equation to 3a = (2/6)a2. This yields a value of 3 / a2, indicating that the value of a must be 3 / a2 for v and w to be parallel.
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1. Which is a finite arithmetic sequence?
A {7, 10, 13, 16, 19}
B {20, 10, 5, 2.5, 1.25}
C {100, 10, 1, 0.1,…}
D {2, 4, 6, 8, …}
2. Which sequence has a common ratio of -2?
{-1, 2, -4, 8, -16, …}
{29, 27, 25, 23, 21, …}
{4, -6, 8, -10, 12, …}
{900, -450, 225, -112.5, 56.25, …}
Answer:
see below
Step-by-step explanation:
1. A&B because they have finite #s in the brackets
2. {-1, 2, -4, 8, -16, …} you use first # & multiply by -2 & see if you get the next #.
What is -3(x+4)=2x-37
Answer:
-3(x+4) = 2x-37
(open bracket)
(-3 × x)+ (-3 × 4) = 2x-37
-3x - 12 = 2x-37
(collect like terms)
-12+37 = 2x+3x
25 = 5x
x = 25÷5
x= 5
Im confused on this. What is -3/16 + (-11/20) simplified?
-59/80 is the value of the expression -3/16 + (-11/20).
What is Fraction?A fraction represents a part of a whole.
The given expression is -3/16 + (-11/20)
-3/16-11/20
LCM of 16 and 20 is 80
-3(5)-11(4)/80
(-15-44)/80
-59/80
Hence, -59/80 is the value of the expression -3/16 + (-11/20).
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Question 1-27
Which set of values is the solution set of the equation [2x-31 = 7?
(2, 5)
O (2.-5)
O 1-2, 5)
0 (-2,-5)
The equation be |2x-3| = 7 then the set of values is the solution set be (2, -5).
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. When two expressions are joined by an equal sign, a mathematical statement is called an equation.
In mathematics, to solve an equation is to identify its solutions, which are the values (numbers, functions, sets, etc.) that satisfy the requirement expressed by the equation. An equation typically consists of two expressions connected by an equals sign. A variable or variables are labeled as unknowns when looking for a solution.
Any combination of a number, a variable, and operation symbols is considered an expression. Two expressions are combined to form an equation, which is joined by the equal sign.
Let the equation be |2x-3| = 7
We know that if [tex]$|a|=b, a=\pm b$[/tex].
Since we do not know if 2x - 3 exists positive or negative, we will need a [tex]$\pm$[/tex] on the 7 :
[tex]$|2 x-3|=7 \Rightarrow 2 x-3=\pm 7$$[/tex]
Add 3 to both sides, and finally divide by 2, we get
[tex]$$\begin{aligned}& 2 x=3 \pm 7 \\& x=\frac{3}{2} \pm \frac{7}{2}\end{aligned}$$[/tex]
So x exists equal to either 10/2 = 5 or -4/2 = -2.
Therefore, the correct answer is option b) (2, -5).
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Solve the equation
( i attached an image of the problem)
Answer:
B
Step-by-step explanation:
So they want to get r alone. In order to do that, we would have to do the opposite of what's shown, and we would do it to both sides of the equal sign. As follows...
A = (pi)(r)^2
I would first divide by pi, since it's multiplying pi originally. And we'll do it on both sides
A/Pi = r^2
Now the opposite of squared is square root, so we'll square root both sides
✓A/Pi = r
Giving us B
Answer:
B is the right answer....
B
[tex].a = \sqrt{ \frac{a}{\pi} } \: \: is \: the \: right \: answer..[/tex]
PLS AWNSER ASAP 2 MIN LEFT
TELL ME WHICH ONES ARE FALSE AND WHICH ARE TRUE
Answer:
the answer is 1 and 3 true and other false
Just making sure if x + y is xy?
Answer:
No
Step-by-step explanation:
I think
x times y = xy
Not x + y = xy
jon jumped 1 5/8 inches below qualiyfrying height but anothey made it to 2 1/4 inches over qualfrying height how much lower was jons semifinal jump compared with anthonys
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
How to find the value?Given that Jon's jump was 1 inch short of the required height, yet Anthony was his friend
reached the necessary height by 2 inches.
In this instance, subtracting the values will yield the difference in the jump. It will be demonstrated by:
= Anthony's jump - Jon's jump
= 2 - (-1)
= 2 + 1
= 3
Therefore, Jon was 3 inches lower.
Jon's semi-final jump compared with Anthony's was 3 inches lower. This was based on the heights given.
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
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You want the banner you are creating form one piece of cloth to be a golden rectangle. The clothe will be cut from a bolt that is 54 in wide. What are the dimensions
of the largest banner that you can make? Golden Ratio 1.618/1
Answer:A golden rectangle is a rectangle where the ratio of the longer side (the "length") to the shorter side (the "width") is the golden ratio, approximately 1.618.
Let x be the width of the rectangle.
Since the ratio of the length to the width is the golden ratio, we can write the equation:
(x*1.618) = width + x
Solving for x, we get:
x = 54/(1+1.618) = 54/2.618 = 20.5 inches
So the width of the rectangle is 20.5 inches and the length of the rectangle is x1.618 = 20.51.618 = 33.5 inches.
Step-by-step explanation:
A local pizza shop has a membership program for frequent buyers. The membership costs $20 per month and members get a discounted price of $1 per slice of pizza. Benjamin purchased a membership to this pizza shop. How much would Benjamin have to pay the pizza shop if he bought 7 slices of pizza this month? What would be the monthly cost for
x
x slices of pizza?
Answer:
$27
Cost = 20 + 1x = 20 + x
Step-by-step explanation:
Membership fee is $20 per month. This amount has to be paid whether he buys pizzas or not that month
If x is the number of pizzas, the total cost for 7 pizzas at discounted price of $1 is 20 + 7 x 1 = $27
For x pizzas, the equation is
Cost = 20 + x
H(x)=-3(x-3)^2+108 how many seconds after takeoff will the hovercaff be its highest point
Answer:
at 3 seconds
Step-by-step explanation:
the vertex will provide the maximum or minimum of the curve and can be found by finding the values of 'h' and 'k'
in this problem, 'h' is 3 and 'k' is 108
so at 3 seconds, the maximum height is reached, which is 108 feet
Answer:
-3x^2 + 189
Step-by-step explanation:
If you know what PEMDAS is, then you do the parenthesis first, and you get -3x^2 + 9^2 + 189. Then you take 9^2 and solve that part, and you get 81. Then, since there are two numbers with no exponents or variables, you add 81+108, getting 189. This leaves you with your answer, which is -3x^2+189.
Hope this helps!
A mall pizza ha an area of 730730730 quare centimeter. Write an inequality that decribe ppp, the area of a pizza that i larger than a mall pizza
The inequality that describes a pizza with an area larger than a mall pizza (with an area of 730730730 square centimeters) can be written as:
p > 730730730
The inequality "p > 730730730" is a mathematical expression that compares the area of a pizza (represented by the variable "p") to the area of a mall pizza (730730730 square centimeters).
The inequality uses the greater than symbol ">" to indicate that the area of the pizza represented by "p" must be greater than the area of the mall pizza.
"p" represents the area of the larger pizza in square centimeters. The inequality states that the area of the larger pizza (p) must be greater than the area of the mall pizza (730730730 square centimeters).
This inequality can be useful in situations where we want to compare the size of two pizzas and determine which is larger. By evaluating whether the area of a pizza (represented by "p") satisfies the inequality, we can determine whether it is larger or smaller than the mall pizza (with an area of (730730730 square centimeters).
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