solve: -3(3x+1)-41>-5(-2x+4)+5x
Answer:
Step-fbccbbby-CBC step explanation:
You play video games online. When you sign up with the game site, you get 400400 points. You earn 5050 more points for each hour that you play. How many hours do you have to play to get to 1,000 points?
Convert 50 feet per second to miles per hour.
5280 ft = 1 mi
Round to the nearest hundredth.
Miss Martin has 7000 in her savings account. Alonso has 1/10 as much money in his account as Miss Martin. How much money does Alonso have in his account.
You have 16 Yellow beads,20 red beads,and 24 orange beads to make identical bracelets. What is the greatest number of bracelets that you can make using all beads?
The greatest number of identical bracelets that can be made using all the beads is 4. This is found by determining the greatest common divisor (GCD) of 16, 20, and 24, which is 4. Each bracelet will consist of 4 yellow beads, 5 red beads, and 6 orange beads.
Explanation:The subject of this question is the mathematical concept of the greatest common divisor (GCD). In the given problem, you are tasked with finding the maximum number of identical bracelets you can make with a given number of beads. The concept of GCD is used here.
First, we need to determine the GCD of the quantities of the three different colored beads:
16 Yellow beads 20 Red beads 24 Orange beads
The GCD of 16, 20, and 24 is 4. This means the largest number of identical bracelets you can make, using all of the beads, is 4. Each bracelet will have 4 yellow beads, 5 red beads, and 6 orange beads.
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Solve for x. 2/3x=10 Enter your answer in the box.
Find the unit rate,Kenny reads 5/8 pages in 2/3 minute.Please show your work.
in a student council election Martha and Hillary received a total of 1600 votes, Martha received 81 more votes than Hillary, how many votes did Martha receive
On an average, the number of students that choose to study arts subjects at greyin tide university is 17 each year.what is the probability that exactly 13 students will take up arts in the coming year?
The probability that exactly 13 students will take up arts in the coming year is; 76.47%
What is the probability?We are given;
Number of students that study art each year = 17
Now, we want to find the probability that 13 students will take up arts in the following year. This is;
P(13 will take art the next year) = 13/17 * 100%
P(13 will take art the next year) = 76.47%
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The florist has 63 roses and carnations. If she has 27 roses how many carnations does she have?
PLS HELP! 20 POINTS AND BRAINLIEST!
25 POINTS!!!!!
In the figure below, lines m and n are parallel:
Two parallel lines are shown crossed by a transversal. The angles are labeled with number 1-8. The angles on line m where the line is crossed by the transversal are 1, 2, 3, and 4 in clockwise order from top left. The angles on line n where the line is crossed by the transversal are 5, 6, 7, and 8 in clockwise order from top left.
In the diagram shown, ∠7 measures 92 degrees. What is the measure of ∠8?
8 degrees
88 degrees
92 degrees
180 degrees
7 and 8 have to equal 180 degrees
180- 92 = 88
so angle 8 is 88 degrees
Answer:
The correct option is B) 88°.
Step-by-step explanation:
Consider the provided information.
Consider the figure 1,
m∠7=92°, then by using the property of liner pair angles, we have
m∠7 + m∠8 = 180° (Liner pair angles)
⇒m∠8 + 92° = 180°
⇒m∠8 = 180 - 92
⇒m∠8 = 88°
Therefore, the measure of m∠8 is 88°.
Hence, the correct option is B) 88°.
Mr.chu is slicing 4 cantaloupes for his class.There are 24 students in class. If Me.Chu cut the cantaloupes to make an equal portion for each student , how much of a whole cantaloupe will each student get?
Each student will receive approximately 0.1667 parts of a whole cantaloupe when Mr. Chu evenly divides 4 cantaloupes among 24 students.
Explanation:The subject of this problem is how to divide a quantity fairly between multiple recipients, also known as division. If Mr. Chu is slicing 4 cantaloupes and wants to divide them equally among 24 students, we need to find how much each student would receive.
This is solved by simply dividing the total quantity of cantaloupes by the number of students. So, 4 (whole cantaloupes) divided by 24 (students) equals 0.1667.
Therefore, each student will get approximately 0.1667 of a whole cantaloupe.
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A room has an area of 60 square meters and a perimeter of 32 meters what are the length and width of the room
Based upon a long period of record keeping the following represents the probability distribution of the number of times the John Jay wifi network is slow during a week. We call the random variable x.
x 0 1 2 3 4 5 6
p(x) .08 .17 .21 k .21 k .13
a. What is the value of k?
b. Calculate the expected value of x.
c. Calculate the expected value of x^2
.
d. Calculate the variance of x.
e. Calculate the standard deviation of x
f. Calculate the variance of 3x.
g. Suppose that network slowness is independent from week to week. What is the probability that if we look at 5 separate weeks, the network has no more than 4 slow times in any of those weeks?
h. Calculate the variance of the random variable x^2
Answer:.1
Step-by-step explanation:
solve the equation .......x/9 = 2/45 +x/10
What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2
The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
The slope of the line 2x + 5y = 10 is:
2x + 5y = 10
5y = -2x + 10
y = -2/5x + 10
Hence the slope of the line 2x + 5y = 10 is -2/5
Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:
[tex]y-y_1=m(x-x_1)\\\\y-(-4)=-\frac{2}{5} (x-5)\\\\y+4=-\frac{2}{5} x+2\\\\y=-\frac{2}{5} x-2[/tex]
The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2
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A bank offers a CD that pays a simple interest rate of 6.0. How much must you put in this CD now in order to have $4500 for a home-entertainment center in 6 years.
how many inches are equal to 30.48 cm
how do you know that the decimal for 2/11 repeats without end
how do you solve the following
6/13=3/c
if m angel 1 equal 42 and m angle 2 equal 27, then m angle APC equal
The measure of angle APC equals 69°
What is the measure of angle APC?
∠1 = 42°
∠2 = 27°
Angle APC is equal to the sum of angle 1 and angle 2.
∠APC = ∠1 + ∠2
= 42° + 27°
= 69°
Hence, m ∠ APC = 69°
Complete question:
if m ∠ 1 = 42 and m ∠ 2 = 27, then m ∠ APC = ?
Complete te pattern 3,400,000 34,000
how do logarithms work
A logarithm is the power to which a number must be raised in order to get some other number. For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100:
log 100 = 2
because
102 = 100
This is an example of a base-ten logarithm. We call it a base ten logarithm because ten is the number that is raised to a power. The base unit is the number being raised to a power. There are logarithms using different base units. If you wanted, you could use two as a base unit. For instance, the base two logarithm of eight is three, because two raised to the power of three equals eight:
log2 8 = 3
because
23 = 8
In general, you write log followed by the base number as a subscript. The most common logarithms are base 10 logarithms and natural logarithms; they have special notations. A base ten log is written
log
and a base ten logarithmic equation is usually written in the form:
log a = r
A natural logarithm is written
ln
and a natural logarithmic equation is usually written in the form:
ln a = r
So, when you see log by itself, it means base ten log. When you see ln, it means natural logarithm (we'll define natural logarithms below). In this course only base ten and natural logarithms will be used.
Final answer:
Logarithms are used in Mathematics to solve exponential equations by converting them into linear equations. They involve finding the exponent to which a base must be raised to equal a given number. Properties of logarithms, such as the product and quotient rules, help manipulate and solve logarithmic equations.
Explanation:
Logarithms are mathematical tools used to solve exponential equations and simplify complex calculations. They are the inverse function of exponential functions and help us solve for the unknown exponent in an equation.
Logarithms work by converting exponential equations into linear equations. When we take the logarithm of a number, we are finding the exponent to which a base must be raised to equal that number. For example, the logarithm (base 10) of 100 is 2, because 10 raised to the power of 2 equals 100.
The properties of logarithms allow us to manipulate them to solve equations. Some key properties include:
The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number.The logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers.Find and sketch the domain of the function. f(x, y, z) = 4 − x2 − y2 − z2
The domain of the function [tex]\(f(x, y, z) = 4 - x^2 - y^2 - z^2\)[/tex] is the set of all real numbers for [tex]\(x\)[/tex], [tex]\(y\),[/tex] and [tex]\(z\)[/tex].
To find and sketch the domain of the function [tex]\(f(x, y, z) = 4 - x^2 - y^2 - z^2\)[/tex], we need to determine the set of values for [tex]\(x\)[/tex], [tex]\(y\)[/tex], and [tex]\(z\)[/tex] for which the function is defined, i.e., the values that do not lead to any mathematical inconsistencies.
In this case, the function involves three variables, and it is defined for all real values of [tex]\(x\)[/tex], [tex]\(y\)[/tex], and [tex]\(z\)[/tex]. There are no restrictions on the domain because the square of a real number is always non-negative. Thus, [tex]\(x^2\)[/tex], [tex]\(y^2\)[/tex], and [tex]\(z^2\)[/tex] are non-negative for any real \(x\), \(y\), and \(z\).
In interval notation, we can express this as:
[tex]\[\text{Domain} = (-\infty, \infty) \times (-\infty, \infty) \times (-\infty, \infty)\][/tex]
This domain represents the entire three-dimensional space, and the function is defined for all points within this space. As such, sketching the domain involves visualizing the entire 3D space, which is an unbounded region without any specific shape or boundary.
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Evaluate the expression below when x = -2. x2 − 8 x + 6
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of π.)
452.16 cm3
840.54 cm3
1,055.04 cm3
1,456.96 cm3
Nicolas has three fewer than twice the number of songs downloaded as Sabrina does. Interpret the meaning of the expression 2x – 3. The expression 2x – 3 represents
The expression 2x-3 represent's: The number of songs downloaded by Nicholas.
The variable x represents: The number of songs downloaded by Sabrina.
The number of seats in the first row of a concert hall is 6. The second row has 9seats, the third row has 12 seats, and the fourth row has 15 seats. How many seats are in the eighth row?
PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined about whether △PQR and △RST are similar?
Answer:
△PQR and △RST are not similar.
Step-by-step explanation:
In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is
[tex]180-34-80=66[/tex]
In triangle △RST, two known interior angles are 24° and 90°.
[tex]180-24-90=66[/tex]
Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.
Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.
Estimate 508-113 help me please