Answer:
The lace is 36 cm long and 1 cm = 10 mm. So, 36 cm = 360 mm.
He can cut the lace into 18 mm pieces, so he can cut 360 mm / 18 mm = 20 pieces of 18 mm lace from the 36 cm lace.
what is ⊕ this symbol
Answer: The symbol ⊕ is known as the XOR (Exclusive Or) operator.
Step-by-step explanation:
The symbol ⊕ is known as the XOR (Exclusive Or) operator. It is a logical operator that compares two binary digits or bits and returns a 1 if one of the bits is 1 but not both. It returns 0 if both bits are the same (either 0 or 1). It is commonly used in digital logic and computer science, particularly in the field of cryptography. In simple terms, it compares two bits and returns 1 if they are different and 0 if they are the same.
What is 7, 10, 13, 16, as a linear function
Answer:
This is a sequence of numbers that can be expressed as a linear function. The linear function would be of the form y = mx + b, where m is the slope of the line and b is the y-intercept. In this case, m = 3 and b = 7, so the linear equation for this sequence is y = 3x + 7.
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An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
What is a polynomial?When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).
The sum of terms with the notation kxn, where k is any number and n is a positive integer, is referred to as a polynomial.
Using a binomial and a trinomial as a product, one can factor the sum or difference of two cubes. It follows that x3+y3=(x+y)(x2+xy+y2) and x3+y3=(xy)(x2+xy+y2).
If an expression can be thought of as the difference of two perfect squares, then a3 - b3 = (a - b)(a2 + ab + b2). To prevent issues, use parentheses. The trinomial phrase should be free of inner parenthesis.
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Suppose that you are planning a winter vacation. You want to spend a lot of time outdoors, so you are checking the "average" temperature in different locations. Would you prefer to have the "average" temperature reported as a mean, a median or a mode? Why?
The statistical measure which would best represent the average temperature as required is; Mean.
Which measure of central tendency best represents the average temperature?It follows from the task content that the measure of central tendency which best represents the average temperature is to be determined.
On this note, although the mean and median are statistical measures of the central tendency, the mean is a more accurate measure of the average temperature as in this context.
The mode on the other hand, is a statistical measure of spread.
Ultimately, while checking the average temperature in different locations, it follows that the average temperatures in each of the locations is reported as a mean.
This follows from the fact that the mean is a representative of all temperatures recorded in any one location.
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According to the CDC, the fatality rate for measles is 0.2% in the United States. However, in developing countries it is approximately 25%. According to the World Health Organization about 75% of measles cases occurred in developing countries in 2019. How many deaths from measles are likely to have resulted? Round your answer to the nearest thousand.
The estimation number of death from measles occured in developing countries in 2019 is 1.9 million deaths.
To estimate the number of deaths from measles in developing countries, we can use the following calculation:
Deaths = (Total number of cases in developing countries) × (Fatality rate in developing countries)
According to the World Health Organization, 75% of measles cases occurred in developing countries in 2019. Assuming a total of 10 million cases worldwide, 7.5 million cases would have occurred in developing countries.
The fatality rate in developing countries is approximately 25%, so:
Deaths = (7.5 million cases) × (0.25) = 1.875 million deaths.
Deaths = 1.875 million deaths ≈ 1.9 million deaths
So, 1.9 million deaths from measles are likely to have resulted in developing countries in 2019.
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In a right triangle, cos (9x) = sin (6x - 10)°. Find the larger of the triangle's two
acute angles.
The larger acute angle in the right triangle is 60°
What is a right triangle?A triangle with at least one angle a right angle, is called a right triangle.
Given that, In a right triangle, cos (9x) = sin (6x - 10)°.
We know that, sine and cosine of an angle are supplementary.
Therefore,
9x+6x-10 = 90
15x = 100
x = 20 / 3
Therefore, sin(6(20/3)-10)°
= sin(30)°
And also,
cos(9(20/3)
= cos(60)°
Hence, the larger angle is in the triangle is 60°
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Solve for x. 3 - 4x = 18 + x
Answer:
x= -3
Step-by-step explanation:
The powers of I discussion. see photo for question!!
Answer:
it is, in fact, i
Step-by-step explanation:
first of all, let's remember that
[tex]i^{0} = 1 \\ {i}^1 = i \\ {i}^{2} = - 1 \\ {i}^{3} = - i[/tex]
and follow up powers follow the same pattern. at this point let's look at the exponent: you should know that if a number is a multiple of 4, his last two digits are a multiple of 4. in our case,
[tex]5689 = 5688 + 1 = 4k + 1[/tex]
and honesly, we do not care about what k is. rest is playing with power rules
[tex] {i}^{5689} = {i}^{5688 + 1} = {i }^{4k + 1} = { ({i}^{4}) }^{k} \times i = i[/tex]
4 more than the quotient of 24 and a number m
Please help me with this question.
i) The absolute change of the CPI from 2009 to 2014 is given as follows: 22,199.
ii) The absolute change of the Tuition from 2009 to 2014 is given as follows: $26.5.
iii) The relative change of the CPI from 2009 to 2014 is given as follows: 10.35%.
iv) The relative change of the Tuition from 2009 to 2014 is given as follows: 26.59%.
Tuition has increased more in this time period.
How to obtain the changes?The absolute change between two amounts is given by the absolute value of the difference of these two amounts.
Hence for the CPI from 2009 to 2014 is given as follows:
236736 - 214537 = 22,199
For the Tuition, it is given as follows:
126.15 - 99.65 = $26.5.
The relative change is given by the absolute change divided by the initial value and multiplied by 100%, hence:
CPI = 22199/214537 x 100% = 10.35%.Tuition: 26.5/99.65 x 100% = 26.59%.Due to the higher relative change, the Tuition increased more in this time period.
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Pls help Darnell is an election officer. On election day, he travels to the polling place, which is 4.4 miles away from his home. On a map of Harrison County, these two places are 8 inches apart. What is the scale of the map? Write your answer in simplest form using whole numbers.
Answer:
The scale of the map is 1 : 34848---------------------------------
Real distance is 4.4 miles and on the map it is 8 inches.
The scale is:
8 in : 4.4 miles = Divide both sides by 81 in : 0.55 milesor
1 in : 0.55 * 63360 in = Convert 1 mile = 63360 inches1 : 34848(x - 12)(x + 5)/(x - 3)³≤0
The range of values of x for the given expression (x - 12)(x + 5)/(x - 3)³≤0 is ,
( -∞ , -15] and [3, 12]
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given expression,
(x - 12)(x + 5)/(x - 3)³ ≤0
by using wavy curve method it can be state that,
function hold negative value,
1. when x is less than -15
⇒ x ≤15
2. when x is in between
⇒ 3≤ x ≤12
Hence, range of x is ( -∞ , -15] and [3, 12]
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Consider the equation below. − 5 n + 31 = − 14 n − 5 Select the equation that has the same solution. − 1 − 22 n = − 20 n − 9 3 − 6 n + 3 n = − 3 + 4 − 4 n 1 = 0.75 n + 3.25
The equation which having the solution n = -4 is,
11/4n + 2 = -3 + 3/2n.
What is solution of an equation?
Any value of the variable that satisfies the equality, that is, makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation equal, is a solution of the equation. Finding an equation's solution or solutions is known as solving the equation.
Consider, the given equation -5n + 31 = -14n -5
Solving this equation,
14n - 5n = -5 - 31
9n = -36
n = -4
We have to find the equation which having the solution n = -4.
Consider, the first equation
-1 - 22n = -20n - 9
Solving this, we get
n = 4
Consider, the second equation
3 - 6n + 3n = -3 + 4 - 4n
Solving this, we get
n = -2
Consider, the third equation
1 = 0.75n + 3.25
Solving this, we get
n = 3
Consider, the fourth equation
11/4n + 2 = -3 + 3/2n
Solving this, we get
n = -4
Hence, the equation which having the solution n = -4 is,
11/4n + 2 = -3 + 3/2n.
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If the money obtained for 70 empty bottles can buy 35 pencils .How many pencils would the money from 90 empty bottles buy?
What multiplier would be used to increase a number by
15%?
O 0.15
O 1.15
O 1.5
The multiplier would be used to increase a number by 15% is, 1.15
What is multiplicative rate of change?The multiplicative rate of change is a number by which we get another number from the previous number, to get the value of this number , we have to divide the other number from the previous number.
Suppose
first number = X
second number = Y
second number is 15% more than first number
So, Y = X + 15% of X
Y = X + 0.15X
Y = 1.15 X
for multiplicative rate of change we have to apply divide operation,
⇒ P = Y/X
⇒ P = 1.15X/X
⇒ P = 1.15
Hence, the result is 1.15
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ayudaaa a resolver esto plis
The value of x in degrees will be 6° and 11° using properties of parallel lines.
What Qualities Characterize Parallel Lines?They are typically equal-distance, parallel straight lines. The lines here are parallel. They never come together no matter how far you extend them in any one way.
Pairs of equal-sized angles that are both obtuse or acute and are generated on the same side of the transversal are known as corresponding angles. Each pair of comparable angles on the same side of the crossing transversal is equal to the other.
The alternative angle theorem states that alternate interior angles or alternate exterior angles that come from cutting two parallel lines are congruent.
In the above figure,
8x + 7 = 55
8x = 55 - 7
x = 6
Measure of the angle will be 8 × 6 + 7 = 49
In 11)
10x + 10 = 9x + 21 (by using first corresponding angles and then alternate angles)
⇒x = 11
The value of x in degrees will be = 11° using properties of parallel lines.
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What is the value of X
Answer:
x = 17
Step-by-step explanation:
The sum of the interior angles of a triangle is 180
x + 17 + 4x - 34 + 6x + 10 = 180 Combine like terms
11x -7 = 180 Add 7 to both sides
11x - 7 + 7 = 180 + 7
11x = 187 Divide both sides by 11
[tex]\frac{11x}{11}[/tex] = [tex]\frac{187}{11}[/tex]
x = 17
Answer:
the answer is x=17 because the triangle is isosceles
What do I put as the response?
Step-by-step explanation:
the law of intersecting lines : the angles between both lines are the same on both sides of either line, just left-right mirrored.
that's why the angles are while going around the intersection point (starting with the known 37° angle) :
37° - supplementary angle - 37° - supplementary angle
and again from the start.
"supplementary" angles are pairs of angles that together are 180°. just like 2 neighboring angles at intersecting lines.
so, 37° = 7x - 5
example 4
116° is the supplementary angle of 4x.
that means
180 = 116 + 4x
64 = 4x
x = 64/4 = 16
Which option is most similar in relation to the following word pair water:ocean
Water and ocean are two closely related words, as the ocean is the largest source of water on the planet.
Which option is most similar in relation to the following word pair water:ocean?Water is essential to life, and the ocean is the planet's largest reservoir of water.It covers over 70 percent of Earth's surface and contains 97 percent of the world's water. Water and ocean are linked in many ways.The ocean produces more than half of the oxygen in the atmosphere, and the ocean's currents and tides help regulate the climate.Water from the ocean evaporates into the atmosphere, eventually returning as rain, snow, and hail and replenishing the planet's fresh water supply.The ocean is home to a variety of organisms and species that rely on the water for their survival, as well as other resources such as food and shelter.Additionally, the ocean is an important source for human activities such as fishing, transportation, and recreation.In short, water and ocean are inextricably linked, and their relationship is essential to the health of the planet.To learn more about word pair water:ocean refer to:
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Someone pls help this is important
An integer which can be used to represent a diver's elevation if the diver is 40 feet below sea level is -40.
What is an integer?In Mathematics, an integer can be defined as a whole number that may either be positive, negative, or zero (0). This ultimately implies that, a positive integer simply refers to a whole number that is greater than or equal to one (1).
On the other hand (conversely), a negative integer simply refers to a whole number that is less than zero (0), but do not include decimals or fractions.
In this context, we can reasonably infer and logically deduce that an integer which can be used for representing a diver's elevation when he or she is 40 feet below sea level would be the negative integer -40.
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Find the perimeter of triangle ABC. Round your answer to two decimal places.
2
4
6
8
10
-2
-4
-6
-8
-10
2
4
6
8
10
-2
-4
-6
-8
-10
A
B
C
The perimeter of Triangle ABC, given the triangle in drawn in the graph, would be 40 .54 units .
How to find the perimeter ?To find the perimeter of the triangle , you first need to find the lengths of the sides of the triangle .
The lengths would be the distance between the points A , B , and C .
The vertices are : A ( - 1 , - 8) , B ( -4 , 6 ) and C ( 4 , 9 ) .
The distance between the points can be found by the formula:
= √(( x₂ – x₁ )² + ( y₂ – y₁) ²)
The distance between AB is 14.3 units
The distance between BC is 8. 54 units.
The distance between AC is 17.7 units.
The perimeter is:
= 14.3 + 8. 54 + 17. 7
= 40 .54 units
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The area of the figure below is 9ft.What is the height of the triangle if the base of the triangle is 4.5
[tex]area = \frac{1}{2} \times base \times height \\ 9 = \frac{1}{2} \times 4.5 \times h \\ 9 = 2.25h \\ \frac{9}{2.25} = \: \frac{2.25h}{9} \\ 4 = height[/tex]
7. A manager has to choose three products out of five possibilities to take into production. How many different ways are there to choose three products out of five?
There are 10 different ways to choose three products out of five.
What are permutation and combination?
Permutation and combination are mathematical concepts used to study the arrangements and selections of items.
Permutation: An arrangement of items, where order matters.
Combination: A selection of items, where order does not matter.
In this case, the manager has to choose three products out of five possibilities, which is a combination problem. To find the number of different ways to choose three products out of five, we can use the formula: nCr = n! / (r! (n - r)!).
n = 5 (number of items)
r = 3 (number of items to be chosen)
nCr = 5! / (3! (5 - 3)!) = 5! / (3! 2!) = (5 x 4) / (2 x 1) = 10.
Hence, there are 10 different ways to choose three products out of five.
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Assume A varies directly as B^2. If B is multiplied by 3.55, how will it affect A. In other words: if we multiply B by 3.55, by how much would we have to multiply A, in order to preserve the same coefficient of proportion?
Write your answer as a decimal rounded to two decimal places.
Answer: 12.60
Step-by-step explanation: A = B^2. If B is multiplied by 3.55, then A = (3.55B)^2. That gives us A = 12.6025B. Round 12.6025 to hundredth and you get 12.60
Aa man was 26 years old when his son was born. Now,he is three times as old as his son. How old is the son now?
Answer:
His son is 13 years old now.
Step-by-step explanation:
Since the man was 26 years old when his son was born, his age is 26 more than his son's age, or mathematically speaking, x + 26 if the age of his son is x.
26 + x - dad's age
x - son's age
3 x son's age = dad's age
3x = 26 + x
2x = 26
x = 13
His son is 13 years old.
pls help me this is urgent
A retailer received an invoice dated 7th June 2022 with trade discounts of 12% and 8% and cash discount terms of 7/10, 3/20, n/30. The net price after the trade discounts including transportation cost of RM200 was RM1,550.
a) Find the list price.
b) Find the last date to receive the cash discount.
c) Find the total payment if the payment was made on 12th June 2022.
d) Find the amount of discount obtained.
Customers who purchase items with discount of credit has 30 days to repay the balance. However, if clients pay for their products within 10 days,
How exactly is the trade credit calculated?A trade discount, often referred to as a functional reduction, can be applied as a fixed percentage or flat rate deduction from the a seller's initial catalogues list price, in which case the trading discount amount is calculated by multiplying the list price by the percentage difference. Calculating the trade discount requires knowledge of both the item's original list price and the trade discount percentage. The list price is multiplied with the trade discount % in decimal form to arrive at the trade discount.
Here,
they will receive a 2% discount. Customers need only pay $9,800
if they buy $10,000 from Group A underneath the terms 2/10 gross 30 and pay within ten days ($10,000 x 0.98 = $9,800).
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Jakub is building a shed. He wants the concrete base to be bigger than the shed.
What is the perimeter of the base?
The outer perimeter of the rectangular base will be 34 meters.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
The outer dimension of the base will be given as,
L = 8 + 1 + 1
L = 10 m
W = 5 + 1 + 1
W = 7 m
The outer perimeter of the rectangular base will be given as,
P = 2(7 + 10)
P = 2 x 17
P = 34 m
The outer perimeter of the rectangular base will be 34 meters.
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I need help please
I don’t understand is algebra 1
it would take 12 weeks to save and buy the iphone.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Johny is saving money to buy an Iphone X which cost $1000.
He started saving money $300 he receieved for a birthday gift.
He saved allowance of $60 per week.
We need to find how long will it take for him to save and the Iphone X.
1000=300+60x
Subtract 300 from both sides
700=60x
Divide both sides by 60
700/60=x
11.66=x
Hence, it would take 12 weeks to save and buy the iphone.
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(Look at picture) Ty for the help
x = 3y perendicular to l
y = -3x parallel to l
y = 3x + 2 neither
What is Slope ?A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.
One approach for determining a line's slope from a graph is to use the formula immediately after knowing the coordinates of two points that are on the line. Let's assume that the coordinate values for the two spots are unknown. Therefore, we also have another way to determine the slope of the line. This approach entails attempting to determine the tangent of the angle formed by the line and the x-axis.
The line is y = -3x -1
slope is -3 by slope intercept form
The line x = 3y
or y = (1/3)*x
slope is 1/3
we know for a line perpendicular to a given line slope should be -1/m so the slope will be (1/3)
so, x = 3y is perpendicular
y = -3x have slope -3 so it is parallel
y = 3x + 2 slope is 3 so neither
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Identify the domain of f.
For which values a does lim x -> a f(x) not exist? Find all values a where lim x -> a f(x) exists, f is defined at a, but lim x -> a f(x) does not equal f(a).
The graph shows that the domain and range of the line segment were [-5, 1] & [-4, 7, correspondingly.
Describe domain.A function's domain is the set of values that it can accept. These figures represent a function like f's x-values (x). The domain of a function is the set of possible values on which it can operate. This set is the value which the return type after the x value has been entered. Y = f is a function where x is an independent variable and y is a dependent variable (x). If a value of x can be successfully utilized to produce a single value of y using a value of f, then that value is said to be within the domain of that function.
Here,
The domain denotes all conceivable possibilities for x, whereas the range denotes all possible values of y.
The graph shows that the domain and range of the line segment is [-5, 1] & [-4, 7, respectively.
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