Decreasing order means from largest to smallest
The ordered list is:
54, 1 2/3, 1, 0.5, 0.03, 0, -1, -1 3/4, -4, -103
Find P on line segment CD that is 3/4 the distance from C(0, 0) to D (0, 12).
We have two points C(0, 0) and D (0, 12).
P is on the line segment and 3/4 of the distance from C to D.
If 260 is decreased by 65%, what is the new amount?
To find the new amount, substract the percent of the original amount to the original amount, this way:
[tex]260-0.65\cdot260=91[/tex]The new amount is 91.
1) An elevator starts at the ground floor, where the ground floor is considered floor 0.It travels up 8 floors before going down halfway to the ground. Next, it travels back up 12 more floors before going down 13 floors. What floor is the elevator on now?
Answer:
3
Step-by-step explanation:
So, your starting at zero then up eight, and down halfway so four, then back up twelve so its at sixteen, then down thirteen so your answer is three.
Solve the equation. Select the correct answer below, and, if necessary, fill in the answer box to complete your choice.
Explanation
[tex]\begin{gathered} \frac{4}{y}+\frac{3}{4}=\frac{4}{4y} \\ Multiply\text{ through by the lowest common multiple }\Rightarrow4y \\ 4y\times\frac{4}{y}+\frac{3}{4}\times4y=\frac{4}{4y}\times4y \\ 16+3y=4 \\ 3y=4-16 \\ 3y=-12 \\ y=-\frac{12}{3} \\ y=-4 \end{gathered}[/tex]Answer= y=-4
3/3=_/21Fill the blank space with the answer
In the expression 3/3=_/21, it can be observed that 7 is multipled by denominator 3 in order to obtain 21 in in denominator. So same number, 7 is also multiplied with the numerator also.
[tex]\frac{3}{3}\times\frac{7}{7}=\frac{21}{21}[/tex]So, 21 is to be filled at blank space.
Find all real and imaginary solutions to the equation. Please help me tyy
Real solutions = 4/5 and 3
Imaginary solutions = 3i
Define real and imaginary solutions.The quadratic equation x² + 1 = 0 has a solution in the imaginary unit or unit imaginary number I Although there isn't a real number associated with this attribute, addition and multiplication can be employed to expand real numbers to so-called complex numbers. A real number is the real root of an equation. A complex root is a fictitious root that is represented by complex numbers in an equation. Imaginary numbers are "real" in the sense that they exist and are used in mathematics, even though they are not real numbers because they cannot be defined on a number line. Complex numbers, often known as imaginary numbers, are used in quadratic equations and in real-world applications like electricity.
Given,
Equation
4x³ + 5x² + 36x + 45 = 0
x²(4x + 5) + 9( 4x + 5) = 0
x² + 9 + (4x +5) = 0
(x - 3 ) (x +3) + (4x+5) = 0
x = 3i
x = [tex]\frac{4}{5}[/tex] and 3
Real solutions = 4/5 and 3
Imaginary solutions = 3i
To learn more about real and imaginary solutions, visit:
https://brainly.com/question/9570082
#SPJ13
lineal or no?1) 2x+y=52) y= x + 6 --- 2thanks
1) 2x+y=5 ...... It is a linear equation
2) y= x + 6 ....... It is a linear equation
Because they are of first degree and they contain x and y (equations of a line)
I need help with solving this: what is the 8th term to 1,5,25,125,..
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
1,5,25,125,..
Step 02:
[tex]an=5^{n-1}[/tex]if n = 8
[tex]a_8=5^{8-1}=5^7=78125[/tex]The answer is:
8th term is 78125
write the equation of a line in y = mx + b form that passes through the given pair of points (1,-2) (3,2)
The formula for the equation of a line given two points is,
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]Given that
[tex]\begin{gathered} (x_1,y_1)=(1,-2) \\ (x_2,y_2)=(3,2) \end{gathered}[/tex]Substituting the given points to the equation and expressing it in the form, y = mx+b
[tex]\begin{gathered} \frac{y--2}{x-1}=\frac{2--2}{3-1} \\ \frac{y+2}{x-1}=\frac{2+2}{3-1} \\ \frac{y+2}{x-1}=\frac{4}{2} \\ \frac{y+2}{x-1}=2 \end{gathered}[/tex]Cross multiply
[tex]\begin{gathered} y+2=2(x-1) \\ y+2=2x-2 \\ y=2x-2-2 \\ y=2x-4 \\ \therefore y=2x-4 \end{gathered}[/tex]Hence, the equation of a line in slope in y = mx+b is
[tex]y=2x-4[/tex]
What is the factor 24/28 in simplest form
Answer:
6/7
Step-by-step explanation:
24/28 they both are commonly divisible by 4,
making them 6/7
Please help by providing answers to these questions.
Graph of proportional relationship is given y =kx , answer of the following questions are as follow:
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
2. Variable represents the constant of proportionality is k.
3. The constant of proportionality is known as the scale factor.
4. The graph of y = kx is a line that passes through the origin.
8. y/x =7 represents the constant of proportionality.
9. Scale factor of the constant of proportionality of figure S to T is 1/4.
As given,
Graph represents proportional relationship is given by:
y = kx
⇒ k = y/x
Represents the multiplicative relationship between the variables y and x.
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
'k' is the scale factor represents the constant of proportionality.
2. Variable represents the constant of proportionality is k.
3. k is the scale factor.
4. y =kx
when x=0 ⇒ y =0 represents graph passes through origin.
8. y =kx ⇒y /x =k if k =7 then y/x =7 represents constant of proportionality.
9. 2/8 = 4.5/18= 3/12 =1.5/6 = 1/4
Scale factor of the constant of proportionality of figure S to T is 1/4.
Therefore, graph of proportional relationship is given y =kx , answer of the following questions are as follow:
1. Based on the information , the constant of proportionality represents the multiplicative relationship between two quantities.
2. Variable represents the constant of proportionality is k.
3. The constant of proportionality is known as the scale factor.
4. The graph of y = kx is a line that passes through the origin.
8. y/x =7 represents the constant of proportionality.
9. Scale factor of the constant of proportionality of figure S to T is 1/4.
Learn more about graph here
brainly.com/question/17267403
#SPJ1
Find the value of x to make this equation true. 6x + 1 = 6 + 2x.
6x + 1 = 6 + 2x.
collect the like term
6x - 2x = 6-1
4x = 5
divide both-side of the equation by 4
4x/4 = 5/4
x=1.25
1.25
what is polynomial define on the basis of degree and terms
Detailed Answer :-
Based on the Degree :
• A polynomial having degree 0 is called a constant polynomial.
• A polynomial having degree 1 is called a linear polynomial.
• A polynomial having degree 2 is called a quadratic polynomial.
• A polynomial having degree 3 is called a cubic polynomial.
• A polynomial having degree 4 is called a bi-quadratic polynomial.
Based on the Number of Terms :
• One term - Monomial
• Two terms - Binomial
• Three terms - Trinomial
• Four terms - Quadrinomial
All of these are generally called POLYNOMIALS.
You randomly draw a marble from a bag of marbles that contains 7 blue marbles 2 green marbles and 1 red marbles
Given the following:
7 blue marbles
2 green marbles
1 red marbles
We to find the probability of not drawing a blue marble.
We will be solving it in two ways.
First let's get the total marbles
Total Marble = 7 + 2 + 1 = 10
recall that probablity is number of favourable outcome divide by number of total outcome.
So,
probablity of Drawing a Blue Marble is = 7/10
probability of not Drawing Blue Marbles = 1 - Probability of Drawing Blue Marbles
= 1 - 7/10
= 10 - 7
10
= 3/10
OR
Probability of not Drawing Blue Marbles = Probablity of drawing Green or Red Marbles.
= 2/10 + 1/10
= 3/10
Therefore, the probability of not Drawing Blue Marbles is 3/10.
write the equation of the polynomial with the following zeros in standard form
Answer:
x² - (5 + √7)x + 5√7
Explanation:
A polynomial with zeros at x = a and x = b can be written as:
(x - a)(x - b)
So, if the roots are x = √7 and x = 5, we can write the equation for the polynomial as follows:
(x - √7)(x - 5)
Then, to write it in standard form, we need to apply the distributive property, so:
[tex]\begin{gathered} (x-\sqrt[]{7})(x-5)=x\cdot x+x(-5)-\sqrt[]{7}x-\sqrt[]{7}(-5) \\ (x-\sqrt[]{7})(x-5)=x^2-5x-\sqrt[]{7}x+5\sqrt[]{7} \\ (x-\sqrt[]{7})(x-5)=x^2-(5+\sqrt[]{7})_{}x+5\sqrt[]{7} \end{gathered}[/tex]Therefore, the answer is:
x² - (5 + √7)x + 5√7
identify all pairs of alternate interior angles. Are the pairs of alternate interior angles equal in measure?
have two parallel lines L1 and L2 crosses by a secant line m.
It means that the measure of alternate interior angles is equal.
The alternate interior angles are:
∠3 and ∠6
∠4 and ∠5
How do you write 94 in scientific notation?
By definition, Scientific notation has the following form:
[tex]a\cdot10^n[/tex]Where the coefficient "a" is a number from 1 to 10 (but not including 10), and the exponent "n" is an Integer.
In Scientific notation, the Decimal point must be after the first digit of the coefficient.
In this case, you have this number:
[tex]94[/tex]Notice that, in order to write it in Scientific notation, you must move the decimal point one place to the left. Therefore, the exponent of the base 10 will be 1:
[tex]94=9.4\cdot10^1[/tex]The answer is:
[tex]9.4\cdot10^1[/tex]What is 120 plus 5% sales tax
Answer:
126
Step-by-step explanation:
Hello!
Since you are adding 5% of 120 to 120, we can simply find 105% of 120.
To do that, we can multiply 120 by the number value of the percentage.
Find the Total Price105% of 1201.05 * 120126The total price after the sales tax is 126.
Describe the relationship between the number 2 x 10^4 and 4 x 10^6
2 * 10^4 = 2 * 10000 = 20,000
4 * 10^6 = 4 * 1000000 = 4,000,000
4,000,000/20,000 = 200
Therefore, 4 * 10^6 is 200 times 2 * 10^4
What is 10/12 written in simplest form?
ANSWER:
[tex]\frac{5}{6}[/tex]STEP-BY-STEP EXPLANATION:
We have the following fraction
[tex]\frac{10}{12}[/tex]Now to reduce to its simplest form, we must simplify
[tex]\frac{2\cdot5}{2\cdot6}=\frac{5}{6}[/tex]Angel Corporation produces calculators selling for $25.99. Its unit cost is $18.95. Assuming a fixed cost of $80,960, what is the breakeven point in units?
The breakeven point is 11,500, meaning that if the sell that number of units, the profit will be zero.
How to get the breakeven point?
Here we know that the unit price is $25.99, so if they sell x units, the revenue is
R(x) = $25.99*x
And the cost per unit is $18.95, plus a fixed cost of $80,960
Then the cost of x units is:
C(x) = $80,960 + $18.95*x
The breakeven point is the value of x such that the cost is equal to the revenue, so we need to solve:
$25.99*x = $80,960 + $18.95*x
$25.99*x - $18.95*x = $80,960
$7.04*x = $80,960
x = $80,960/%7.04 = 11,500
Learn more about cost and revenue:
https://brainly.com/question/16232387
#SPJ1
the bears have won 7 and tied 2 of their last 13 games. the not forfeited any games . which ratio correctly campares their to losses
Explanation:
Number of games won = 7
Number of games drawn = 2
Total number of games = 13
Number of games lost = Total number of games - (Number of games won + Number of games drawn)
Number of games lost = 13 - (7 + 2) = 13 - 9
Number of games lost = 7
The ratio of
The area of a rectangular garden is 1,432 meters. If the length of the garden is 40 meters,
what is the width of the garden?
Answer: 35.8
Step-by-step explanation: 40x?=1432
40x35.8=1432
What is the difference between chemical and physical change
Answer:
Step-by-step explanation:
In a physical change the appearance or form of the matter changes but the kind of matter in the substance does not. However in a chemical change, the kind of matter changes and at least one new substance with new properties is formed.
Evaluate : g(x) = x^2 + 4x ; find g(2)
Given the function
[tex]g(x)=x^2+4x[/tex]We want to evaluate this function at x = 2.
When we evaluate a function at a given value, we just need to substitute the terms with a variable by the given value.
[tex]g(2)=(2)^2+4\cdot(2)=4+8=12[/tex]Suppose medical records indicate that the length of newborn babies (in inches) is normally distributed with a mean of 20 and a standard deviation of 2.6. Find the probability that a given infant is longer than 20 inches. [? ]%
To find the probability we need to use the z score formula, given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]where x is the value we like, mu is the median and sigma is the standard deviation.
Then the z score is:
[tex]z=\frac{20-20}{2.6}=0[/tex]Then we have to look for the proability:
[tex]P(z>0)=0.5[/tex]Therefore the probability that a given infant is longer than 20 inches is 0.5 or 50%.
Find the 5th term of the arithmetic sequence -5x – 5, -123 – 8,- 19x – 11, ...Answer:Submit Answer
5x – 5, -123x – 8,
- 19x – 11, ...
Difference is =
Identify the inverse g(x) of the given relation f(x). f(x)={(8,3),(0,-1),(-4,-3)}
The function is given as.
f(x)={(8,3),(4,1),(0,-1),(-4,-3) }
The inverse function is determined as a function, which can reverse into another function.
Therefore the inverse function g(x) is obtained as
[tex]g(x)=\lbrace(3,8),(1,4),(-1,0),(-3,-4)\rbrace[/tex]Hence the correct option is D.
The weight P in pounds that a beam can safely carry is inversely proportional to the distance D in feet between the supports of the beam. For a certain type of wooden beam,
K←
5,400
P= What distance between supports is needed to carry 900 lb?
D
uestion:
For the beam to support a weight of 900 lb, the distance between the supports needs to be no more than feet.
(Simplify your answer. Round to two decimal places as needed.)
The distance between supports is needed to carry 900 lb is 6 feet.
What is termed as the inversely proportional?Whenever the value with one quantity rises relative to the value of another, the two are referred to as being inversely proportional. It indicates that the two portions behave in nature in opposing ways. For instance, speed as well as time are inversely proportional to one another. The time decreases as the speed increases.For the given question,
The distance of the support of the beam is 'D'.
P ∝ 1/D
Now, weight is inversely proportional to distance.
P is the weight needed to carry = 900 lb.
Thus,
P = K/D
Where is proportionality constant; K = 5400.
D = K/P
Put the values.
D = 5400/900
D = 6 feet
Thus, the distance between supports is needed to carry 900 lb is 6 feet.
To know more about the inversely proportional, here
https://brainly.com/question/3328647
#SPJ13
19. Write in algebraic terms: six times a number, minus five times the number, plus eight.
Let the number be a
6a x 5a + 8
