Answer:
yes answer question?
Step-by-step explanation:
Answer:dE (105,infinity)
Step-by-step explanation:
"Find a number which, when added to 3, yields 7"
may be written as:
3 + ? = 7, 3 + n = 7, 3 + x = 1
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
EQUIVALENT EQUATIONS
Equivalent equations are equations that have identical solutions. Thus,
3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5
are equivalent equations, because 5 is the only solution of each of them. Notice in the equation 3x + 3 = x + 13, the solution 5 is not evident by inspection but in the equation x = 5, the solution 5 is evident by inspection. In solving any equation, we transform a given equation whose solution may not be obvious to an equivalent equation whose solution is easily noted.
The following property, sometimes called the addition-subtraction property, is one way that we can generate equivalent equations.
If the same quantity is added to or subtracted from both members of an equation, the resulting equation is equivalent to the original equation.
In symbols,
a - b, a + c = b + c, and a - c = b - c
are equivalent equations.
Example 1 Write an equation equivalent to
x + 3 = 7
by subtracting 3 from each member.
Solution Subtracting 3 from each member yields
x + 3 - 3 = 7 - 3
or
x = 4
Notice that x + 3 = 7 and x = 4 are equivalent equations since the solution is the same for both, namely 4. The next example shows how we can generate equivalent equations by first simplifying one or both members of an equation.
Example 2 Write an equation equivalent to
4x- 2-3x = 4 + 6
by combining like terms and then by adding 2 to each member.
Combining like terms yields
x - 2 = 10
Adding 2 to each member yields
x-2+2 =10+2
x = 12
To solve an equation, we use the addition-subtraction property to transform a given equation to an equivalent equation of the form x = a, from which we can find the solution by inspection.
Example 3 Solve 2x + 1 = x - 2.
We want to obtain an equivalent equation in which all terms containing x are in one member and all terms not containing x are in the other. If we first add -1 to (or subtract 1 from) each member, we get
2x + 1- 1 = x - 2- 1
2x = x - 3
If we now add -x to (or subtract x from) each member, we get
2x-x = x - 3 - x
x = -3
where the solution -3 is obvious.
The solution of the original equation is the number -3; however, the answer is often displayed in the form of the equation x = -3.
Since each equation obtained in the process is equivalent to the original equation, -3 is also a solution of 2x + 1 = x - 2. In the above example, we can check the solution by substituting - 3 for x in the original equation
2(-3) + 1 = (-3) - 2
-5 = -5
The symmetric property of equality is also helpful in the solution of equations. This property states
If a = b then b = a
This enables us to interchange the members of an equation whenever we please without having to be concerned with any changes of sign. Thus,
If 4 = x + 2 then x + 2 = 4
If x + 3 = 2x - 5 then 2x - 5 = x + 3
If d = rt then rt = d
There may be several different ways to apply the addition property above. Sometimes one method is better than another, and in some cases, the symmetric property of equality is also helpful.
Example 4 Solve 2x = 3x - 9. (1)
Solution If we first add -3x to each member, we get
2x - 3x = 3x - 9 - 3x
-x = -9
where the variable has a negative coefficient. Although we can see by inspection that the solution is 9, because -(9) = -9, we can avoid the negative coefficient by adding -2x and +9 to each member of Equation (1). In this case, we get
2x-2x + 9 = 3x- 9-2x+ 9
9 = x
from which the solution 9 is obvious. If we wish, we can write the last equation as x = 9 by the symmetric property of equality.
Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
Raymond works for an architecture firm. His company has a contract to design a building on a rectangular plot of land that has an area of 421,808 square meters. The plot of land is 328 meters wide. What is the length of the plot?
Answer:
1286 meters long
Step-by-step explanation:
421,808 divided by the width of the plot gives you 1,286 meters for the width.
Marina tries to compare -2/3 and -5/8 absolute values. she finds their decimal equivalents to be -0.666666... and -0.625 and she knows |-0.6666>|-0.625|. explain why must reverse the inequality in her final answer, -2/3<-5/8
Marina should have reversed the inequality in her final answer, reflecting the correct relationship between the magnitudes or absolute values of -2/3 and -5/8.
When comparing the absolute values of two numbers, the comparison is based on their magnitude or distance from zero, regardless of their sign.
In this case, Marina compared the decimal equivalents of -2/3 and -5/8, which are -0.666666... and -0.625, respectively. By calculating the decimal values, Marina attempted to compare the magnitudes of the numbers.
Marina correctly observed that |-0.666666...| = 0.666666... and |-0.625| = 0.625. However, she made an error in comparing the values by stating |-0.666666...| > |-0.625|.
To understand why the inequality needs to be reversed in her final answer (-2/3 < -5/8), let's examine the decimal values more closely.
When we write -0.666666... as a fraction, we have -2/3, and when we write -0.625 as a fraction, we have -5/8.
Now, when comparing fractions, a larger magnitude corresponds to a smaller value. In other words, the fraction with the smaller numerator or the larger denominator has a smaller value.
In this case, we can observe that -2/3 has a smaller numerator compared to -5/8, indicating a larger magnitude. Thus, -2/3 is actually greater than -5/8 in terms of their magnitudes or absolute values.
To correctly represent this comparison, the inequality should be reversed, resulting in the correct statement: -2/3 > -5/8.
Therefore, Marina should have reversed the inequality in her final answer, reflecting the correct relationship between the magnitudes or absolute values of -2/3 and -5/8.
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Classify the polynomial 5m^10
Trinomial
Binomial
Monomial
None of these
Answer:
Monomial
Step-by-step explanation:
A polynomial has terms in their equation.
When it is a trinomial, it usually follows the pattern such as x^2+2x+1.
When it is a binomial, it usually is something like x+2
...And finally, when it is a monomial, it can be anything that has just one term. So let's say 4x^8883293483.
The polynomial 5m^10 classifies under a monomial since it only has one term
Convert the following repeating decimal to a fraction in simplest form.
.6
Answer:
2/3
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
0.6 is a repeating decimal in this case, so you can round it to .7
From there, you simply put it over ten because you cant break seven down any more than that in a simple fraction.
Jorge worked 6 hours of overtime this week but has decided to take time off instead of overtime pay. How many hours will Jorge receive in time off from work
Jorge will receive 9 hours in time off from work.
How many hours will Jorge get to take time off?
It is given that, Jorge has done overtime for 6 hours in this week. As per the Fair Labor Standards Act, for 6 hours of overtime work, he must be paid one and a half times the pay he gets per hour.
Instead of receiving an overtime pay for working 6 hours extra, Jorge decides to receive paid leaves from work, that is, he will get one and a half of the total hours for which he worked overtime.
As a result, the time off he receives from work = \(1\frac{1}{2} (6)\) hours
\(=\frac{3}{2}(6) = 9 hours\)
Thus, Jorge gets 9 hours in time off from work in return. The time that he earns for the overtime is equivalent to the pay he was supposed to receive for the overtime work.
What is Fair Labor Standards Act?
The Fair Labor Standards Act (FLSA) specifies standards for minimum wage, over-time compensation, recordkeeping, and youth employment that are applicable to workers in the private sector and in federal, state, and municipal governments.
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Compare | -0.05 | and | -0.005 |.
Simplify (s^-5)^3. Write your answer using only positive exponents.
The given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
What is exponent?Exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression. Mathematically -
\($b^x = \underbrace{b \times \dots \times b}_{x \text{ times}}\)
where -
[b] = base of the logarithm
[x] = exponent
Given is the expression as follows -
(s⁻⁵)³
We can write the expression as -
(s⁻⁵)³ = (1/s⁵)³ = (1/s¹⁵) = (1/s)¹⁵
Therefore, the given expression (s⁻⁵)³ is equivalent to (1/s)¹⁵.
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Answer question below.
evaluate the expression 6x + 4 9/10 when x = 2/3.
x=2/3
6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10
Answer:
2x-1=y,2y+3=x
Step-by-step explanation:
no explanation
In 15 words or fewer, will dividing the two polynomials in the table produce another polynomial? Why or why not?
Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.
No, dividing two polynomials may not result in another polynomial. It can produce a rational function.
A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.
If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.
A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.
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Find dy dx : (2x³ - x^)³ sin x Do not simplify the result.
The derivative or dy dx : (2x³ - x^)³ sin x is 3(2x³ - x²)² (6x² - 2x) sin(x) + (2x³ - x²)³ cos(x).
To find the derivative of the given function,
y = (2x³ - x²)³ sin(x),
we need to use the chain rule and the product rule. Using the chain rule, we have;
dy/dx = [(2x³ - x²)³]' * sin(x) + (2x³ - x²)³ * sin(x)'
Now, let's evaluate the derivative of each term separately.
Using the power rule and the chain rule, we get:
(2x³ - x²)³' = 3(2x³ - x²)² (6x² - 2x)sin(x)'
= cos(x)(2x³ - x²)³ * sin(x)
= (2x³ - x²)³ sin(x)
Therefore,dy/dx = 3(2x³ - x²)² (6x² - 2x) sin(x) + (2x³ - x²)³ cos(x)
dy/dx = 3(2x³ - x²)² (6x² - 2x) sin(x) + (2x³ - x²)³ cos(x).
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Someone please help me
Answer:
Yes.
Step-by-step explanation:
Every X value corresponds with a DIFFERENT Y value.
That is the definition of a function.
\(21x^2-25x-4=0\)
Answer:
That's unreadable. Could you send a photo instead?
Step-by-step explanation:
❗️❗️EASY 10 points HELP ME ❗️❗️There
are 10 game pieces in a bag 5 yellow, 2 red, and 3 green,
You randomly select a game piece from above and do not put it back. What is the probability
choose yellow then red?
1/9
1/2
3/7
d
3/10
Answer:
1/2
Step-by-step explanation:
since there are 5 yellow pieces that is half of the game pieces
Count the perimeter units
Please help
Answer: 7 + 7 + 7 = 21
Aruna heard about the book sale from Johannah and went to the bookstore the next day. She was saddened to learn when she got there that the books had been marked up $3.99 from their original prices. Find the total of the books (with tax 13%) now.
a) Stamped $18.99 b) One Crazy Summer $15.99 c) A girl named Disaster $21.99
Answer: For stamped, the answer is $25.96. For One Crazy Summer, the answer is $20.49. For A Girl Named Summer, the answer is $26.49.
Step-by-step explanation:
The equation is simple. Add the $3.99 to the original price, then add 13%.
X+3.99+13%, and X equals the original price.
Hope this helps!
what is ( 0 + -3) * ( -1 + 5) / ( 12+ -2)
Answer:
-6/5
Step-by-step explanation:
it is also -1.2 as a decimal
Hey there!
(0 + -3) * (-1 + 5) / (12 + -2)
= (0 - 3) * (-1 + 5) / (12 - 2)
= -3(4) / 10
= -12 / 10
= -12 ÷ 2 / 10 ÷ 2
= -6 / 5
≈ - 1 1/5
≈ -1.2
Therefore, your answer is: -6/5 or -1 1/5
{EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER}
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write the complex number e^i pi/3 in the form a + bi. a = and b =. Write the complex number e^i 4 pi/3 in the form a + bi. a = and b = Write the complex number z = 6 - 4i in polar form: z = r(cos theta + i sin theta) where r = and theta = The angle should satisfy 0 lessthanorequalto theta < 2 pi
z = 2√13(cos 5.49 + i sin 5.49) in polar form.
We can use Euler's formula, e^(iθ) = cos(θ) + i sin(θ), to write complex numbers in polar form.
1. For e^(iπ/3), we have:
e^(iπ/3) = cos(π/3) + i sin(π/3) = 1/2 + i√3/2
Therefore, a = 1/2 and b = √3/2.
2. For e^(i4π/3), we have:
e^(i4π/3) = cos(4π/3) + i sin(4π/3) = -1/2 - i√3/2
Therefore, a = -1/2 and b = -√3/2.
3. For z = 6 - 4i, we can find the magnitude (or modulus) of z, r, using the Pythagorean theorem:
|r| = √(6^2 + (-4)^2) = √52 = 2√13
To find the angle, theta, we can use the inverse tangent function:
tan⁻¹(-4/6) = -tan⁻¹(2/3) ≈ -0.93 radians
However, since we want the angle to satisfy 0 ≤ θ < 2π, we need to add 2π to the angle if it is negative:
θ = 2π - 0.93 ≈ 5.49 radians
Therefore, z = 2√13(cos 5.49 + i sin 5.49) in polar form.
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Please help ( if you want )
Answer:
i think its the first one
Step-by-step explanation:
what are the coordinates for point c
Answer:
(0,2)
Step-by-step explanation:
hey I guess I seen you before :-|
Answer:
(0, 2)
Step-by-step explanation: x means going left or right, y means going up. So we go right or left 0 units and 2 units up.
Which scenario could be represented by this graph?
A. Lanie steadily fills a cup of water, stopping when it is almost full.
The x-axis represents time; the y-axis represents the amount of
water.
O B. Lanie lights a candle. After 15 minutes, she puts it out. Half an
hour later, she lights it again. The x-axis represents time; the y-axis
represents the height of the candle.
O C. Lanie steadily fills a cup of water. The x-axis represents time; the
y-axis represents the amount of water.
OD. The temperature in Lanie's backyard drops steadily over time as a
cold front moves in. The x-axis represents time; the y-axis
represents the temperature.
The correct scenario represented by this graph will be;
''The temperature in Lanie's backyard drops steadily over time as a cold front moves in. The x-axis represents time; the y-axis represents the temperature.''
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.
Given that;
The graph is shown in figure.
Now,
Let the x-axis represents time and the y-axis represents the temperature.
So, We can say that;
The temperature in Lanie's backyard drops steadily over time as a cold front moves in.
Thus, The correct scenario represented by this graph will be;
''The temperature in Lanie's backyard drops steadily over time as a cold front moves in. The x-axis represents time; the y-axis represents the temperature.''
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Determine whether the geometric series is convergent or divergent. 4 3 9 4 27 16
The geometric series is convergent and the value is 16.
How to illustrate the information?Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:
S = t_1/(1 - r)
Note that:
3 = (4)(3/4)
9/4 = (3)(3/4)
27/16 = (9/4)(3/4)
So this a geometric series with t_1 = 4 and r = 3/4. Therefore:
4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16
The correct option is 16.
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
4+3+ 9/4 +27/16 +???
choices are
1. 3/4
2. 12
3. 4
4. divergent
5. 16
if the test statistic falls in the critical region, we select one: a. reject the null and conclude that the research hypothesis is true b. reject the null and conclude that there is strong support for the research hypothesis c. accept the null d. fail to reject the null
Therefore, if the test statistic falls in the critical region, we select option (b) - reject the null and conclude that there is strong support for the research hypothesis.
What happens if the test statistic falls in the critical region?
If the test statistic falls in the critical region, we reject the null and conclude that there is strong support for the research hypothesis.
A critical region is the set of all values of the test statistic that lead to the rejection of the null hypothesis. It is a predefined set of values in which the alternative hypothesis will be favored if the sample test statistic falls within that range.
The critical region is that area in which the null hypothesis is rejected at a certain significance level. If the test statistic falls into the critical region, we can reject the null hypothesis in favor of the alternative hypothesis.
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goog8.24 instant versus fresh-brewed coffee. a matched pairs experiment compares the taste of instant with fresh-brewed coffee. each subject tastes two unmarked cups of coffee, one of each type, in random order, and states which they prefer. of the 50 subjects who participate in the study, 32 preferred the fresh- brewed coffee. a. test the claim that a majority of people preferred the taste of fresh-brewed coffee. report the large-sample z statistic and its p-value. b. draw a sketch of a standard normal curve and mark the location of your z statistic. shade the appropriate area that corresponds to the p-value. c. is your result significant at the 5% level? what is your practical conclusion?
The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.
To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:
Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)
Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)
We will use a one-tailed test with a significance level of α = 0.05.
To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee
P = (60 - 21) / 60 = 0.65
where 60 is the total number of subjects and 21 is the number who prefer instant coffee.
Next, we need to calculate the standard error of the sample proportion:
SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078
where n is the sample size.
Finally, we can calculate the z statistic:
z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923
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The given question is incomplete, the complete question is:
A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic
A store owner has 42.4 pounds of candy. If he splits the candy equally into 4 boxes, how many pounds of candy will each box contain?
Answer:
10.6
Step-by-step explanation:
just divide 42.2 and 4 and you get 10.6
Answer:
10.6 lb/box
Step-by-step explanation:
42.4/4 = 40/4 + 2.4/4
10 + 0.6 = 10.6
find the value of b if triangles are similar
Answer:
9 because the constant of proportianlity is 3/4 and 3/4 of 12 is 9.
Suppose the p-value for a hypothesis test is 0.063. Using ? = 0.05, what is the appropriate conclusion?
Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis.
This is because the p-value is greater than the significance level, indicating that there is not enough evidence to reject the null hypothesis. Therefore, we accept the null hypothesis and conclude that there is not enough statistical evidence to support the alternative hypothesis. It is important to note that although the results are not statistically significant, they do not necessarily mean that the null hypothesis is true. The results only indicate that the data does not provide sufficient evidence to reject the null hypothesis at the given significance level. In practice, it is always advisable to consider other factors before drawing final conclusions.
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will mark brainlist POINTSSSSS HELPPP
What 2-dimensional shapes do you see when you look at the Triangular Prism? Choose ALL that you see.
Squares
Rectangles
Triangles
Hexagons
Pentagons
Trapezoids
Answer:
rectangles triangles trapizoids
Step-by-step explanation:
rectangles triangles trapizoids
Which point on the y-axis is on the line that passes through point R and is parallel to line PQ?
(0, Two-thirds)
(0, 4)
(Two-thirds, 0)
(4, 0)
Answer:
The answer would be (0, 2/3) or (0, Two-thirds)
Answer:
0, 2/3
Step-by-step explanation: