The y-intercept represents a starting salary of $25,000 for a new employee.
The slope represents an additional $2,500 in salary for each additional year of employment.
To find the equation of the line, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. So, the equation for the given data is y = 2500x + 25000.
If the starting salary for a new employee is changed to $35,000, the new equation would be y = 2500x + 35000. Since the slope is unchanged, only the y-intercept is affected.
If the yearly salary increase is changed to $3,000, the new equation would be y = 3000x + 25000. In this case, the slope has changed, but the y-intercept remains the same.
For more questions like Equation click the link below:
https://brainly.com/question/29657983
#SPJ11
How do you find the surface area of a cube if one side measures 10cm? show your solution.
Answer:
600 cm squared :)
Step-by-step explanation:
Surface area of cube: 6 x s^2
Now lets solve!!
6 x 10^2
6 x 100
600
Have an amazing day!!
Please rate and mark brainliest!!
______ has at least one solution, and an inconsistent system has no solution.
The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.
In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.
On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.
Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.
To know more about Consistent system refer here:
https://brainly.com/question/12791933
#SPJ11
A square has side lengths of 1.9 centimeters. what's the area of square?
Answer:
3.61cm^2
Step-by-step explanation:
1.9 * 1.9 = 3.61
Please help!!!!!!!!!!!!
Answer:
its d
Step-by-step explanation
you multiply 3 x 3.14 and see if its greater
The results of a two-tailed hypothesis test are reported as follows: t(21) = 2.38, p < .05. What was the statistical decision and how big was the samp
The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.
The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).
The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.
In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).
for such more question on statistical decision
https://brainly.com/question/27342429
#SPJ11
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
Satir Corp. reported the following information for 2013 and 2014.Salaries payable, December 31, 2013 $ 3,700Salaries payable, December 31, 2014 1,800Salaries expense--2014 57,000How much cash was paid for salaries during 2014?A. $55,100B. $55,200C. $57,000D. $58,900
Cash was paid for salaries during 2014 was $55,100. These are the formulas for calculating the cash salary received in 2014:
Salary paid in cash = Salary expense in 2014 - Reduction in salary payable
The difference between the balance due for salaries at the end of each year—that is, at December 31, 2013 and December 31, 2014—can be used to determine the decline in salaries payable:
Salaries payable at December 31, 2013, compared to salaries payable at December 31, 2014, are $3,700, $1,800, and $1,900, respectively.
The drop in the balance of salaries payable from 2013 to 2014 indicates that the business paid more compensation than it incurred for the year. As a result, the 2014 salary payments in cash are:
Cash paid for salaries equals salaries paid in 2014 less salaries payable, or $57,000 minus $1,900, or $55,100.
Hence, (A) $55,100 is the correct response.
Learn more about Salaries payable:
https://brainly.com/question/28238827
#SPJ4
Which box and whisker plot accurately shows the data set below
3rd
Step-by-step explanation:
i am not sure though so confirm it
Answer:
Its the THIRD choice.
Step-by-step explanation:
The values in ascending order are:
6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31
So the median = (15+17)/2 = 16.
The lowest and highest values are 6 and 31.
The lower quartile is 10.
The upper quartile is 23.
point p is chosen at random from theperimeter of rectangle abcd. what is the probability that p lies ondc?
The probability that point P lies on the line DC can be calculated by dividing the length of the line DC by the total perimeter of the rectangle. The length of the line DC is equal to the height of the rectangle, which is the same as the length of the opposite side AB. Therefore, the probability that point P lies on DC is AB/AB+BC+CD+DA.
To understand the calculation of the probability of point P lying on DC, we need to understand the concept of probability. Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates impossibility, and 1 indicates certainty. In this case, the event is the point P lying on DC.
The probability of point P lying on DC can be calculated by dividing the length of the line DC by the total perimeter of the rectangle. Therefore, the probability is AB/AB+BC+CD+DA. The concept of probability is essential in understanding the likelihood of events and making decisions based on that likelihood.
To know more about Probability visit:
https://brainly.com/question/30034780
#SPJ11
PLEASE HELP! URGENT!
Which of the following functions shows the absolute value parent function, F(x) = |x|, vertically stretched?
A. G(x) = |x| + 9
B. G(x) = 3|x|
C. G(x) = |x + 14|
D. G(x) = 1/2|x|
Answer:
C, I believe!
The functions shows the absolute value parent function, F(x) = |x|, vertically stretched is C. G(x) = |x + 14|
What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|x| = x, x ≥ 0.
|x| = -x, x < 0.
This can be measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex(turning point) at (0,0). The range is from the y-coordinate of the vertex to positive infinity.
Vertex (2, 0), Range: {y | 0 ≤ y < ∞}
The parent absolute value function is F(x) = |x|,
If this function is stretched vertically, then the stretched function is of the form.
G(x) = |x + a|
where 0<a<1
Therefore the correct option is C. G(x) = |x + 14|
More can be learned about functions a;
brainly.com/question/24808124
#SPJ2
a professional basketball player makes 80% of the free throws he tries. assuming this percentage holds true for future attempts, use the binomial formula to find the probability that in the next eight tries, the number of free throws he will make is: a. exactly 8 b. exactly 5 c. 3 or 4
a) The probability that in the next eight tries, the number of free throws he will make exactly 8 is equals to the 0.27249.
b) The probability that in the next eight tries, the number of free throws he will make exactly 5 is equals to the 0.08386.
We have a professional basketball player makes 80% of the free throws he tries.
let X be the number of free throws he will make in the next 8 tries. He makes 80% of the free thwors he tries. So, for binomial distribution, X~Bin(8,0.80)
so the probability mass function of X is P[X =x] = ⁸Cₓ 0.85ˣ (1-0.85)⁽⁸⁻ˣ⁾, x = 0,1, 2,..8
P[ X = x] = 0 otherwise.
a) So, the probability that he makes exactly 8 throws isP,(X=8)
= ⁸C₈(0.85)⁸ (1- 0.85)⁰
=0.27249
b) the probability that he makes exactly 5 throws is, P[X=5]
=⁸C₅0.855(1-0.85)⁽⁸⁻³⁾=56×0.855×0.153
=0.08386
Hence required probability is 0.083.
For more information about probability, refer:
https://brainly.com/question/25870256
#SPJ4
Carmen earns a base salary of $125,000, a commission of 4% of her total sales, and a performance bonus of $25,000. If her total compensation last year was more than $350,000, what was the least her total sales could be?
Answer:
$5,000,0000= total sales
Step-by-step explanation:
Giving the following information:
Commission rate= 4%
First, we need to calculate the total commission earned:
Commission= 350,000 - 125,000 - 25,000
Commission= $200,000
Now, using the following formulas, we can determine the total sales:
Commission= total sales*commission rate
200,000= total sales*0.04
200,000/0.04= total sales
$5,000,0000= total sales
Fill in the blank. When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a _____ . When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a ____.
When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a Z-Score.
In statistics, each mathematical formula and each element has an internationally recognised name. This is to ensure that everyone in the world understands what every researcher has to say in every letter. A statistic that tells the number of standard deviations a data value is above or below the mean is called a z-score. And its formula is, Z = (X − μ)/σ
where, μ--> population mean,
σ --> population standard deviation and
x --> the raw-score.
Hence, when a data value is converted to a standardized scale, new value, Z-Score is representing the number of standard deviations the data value lies from the mean.
To learn more about Z-Score, refer:
https://brainly.com/question/25638875
#SPJ4
can someone help me
A circle has a radius of 12.6 cm. What is the exact length of an arc formed by a central angle measuring 100°?
8.5π cm
7π cm
44π cm
79.12 cm
Answer:
It could be 7π cm
Step-by-step explanation:
im sorry im not really sure
Answer:
7π cm
Step-by-step explanation:
I took the test
6(3x - 15) + 8 = -28
Write the steps you will use to solve the equation and explain each step.
Answer:
18x-90+8=-28
18x-82=-28
18x=54
x=3
Step-by-step explanation:first solve the bracket by multiplying 6 into 3 x and -15 separately.
second step is to solve the terms which are free from variable
in third step you have to free variable from number and you will get the answer easily.
Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0
Answer:
a.
\({ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}\)
b.
\({ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}\)
write 57% as fraction.
Answer:
57/100
Step-by-step explanation:
Determine the period.acellus
The calculated period of the function is 20
How to determine the period of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
By definition, the period of the function is calculated as
Period = Difference between cycles or the length of one complete cycle
Using the above as a guide, we have the following:
Period = 26 - 6
Evaluate
Period = 20
Hence, the period of the function is 20
Rad more about period at
https://brainly.com/question/32322832
#SPJ1
10 years ago fathers age was thrice of his son.difference of their age was20 years.find the current age of his son .
Answer:
Son is 20
Step-by-step explanation:
*3 - 10 y ago
20 y age diff
Isoke is solving the quadratic equation by completing the square. 10x2 40x-13=0 10x2 40x=13 a(x2 4x)=13
The value of a is 10 by solving the quadratic equation by completing the square method.
In this question,
Completing the square is a method in algebra that is used to write a quadratic expression in a way such that it contains the perfect square. It is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)^2 + k.
The quadratic equation is
10x^2 + 40x - 13 = 0
Solving the quadratic equation by completing the square as
Step 1:
10x^2 + 40x = 13
Step 2:
10(x^2 + 4x) = 13
Thus on comparing the step 2 with the equation a(x^2 + 4x) = 13, the value of a is 10.
Hence we can conclude that the value of a is 10 by solving the quadratic equation by completing the square method.
Learn more about quadratic equations by completing the square here
https://brainly.com/question/12014272
#SPJ4
(HELO FAST )What is the solution to this system of equations? *
Answer:
A
Step-by-step explanation:
i think thats the answer
if x=3√8, find the value of 1/x
plz its urgent
Answer:
\(\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}\)
4)-2x³ - 2x²
A) quintic binomial
B) quintic trinomial
C) linear binomial
D) quartic binomial
Answer:
the correct answer is (d)
Step-by-step explanation:
Identify the system of inequalities from the following. 3x + y > 2 and 3y 2 and 3y 2 and 3y < 9 4x + y = 2 and 3y < 2m
Answer:
The inequalities are;3x+y>2,3y<9,4x+y=2and 3y<2m
Put the following equation of a line into slope-intercept form, simplifying all fractions. х - 6y = – 48 ASAP PLEASE
Answer:
y= 1/6x + 8
Step-by-step explanation:
\(\text{Given that,}\\\\x -6y = -48 \\\\\implies x +48 = 6y\\\\\implies y =\dfrac{x +48}6\\\\\implies y =\dfrac x6 + \dfrac{48} 6\\\\\implies y = \dfrac 16 x + 8\\\\\text{This is the slope-intercept form of the given equation(y =mx +b)}.\)
Pls help i’m so lost
the typed out form doesn’t really make sense so use photo!
Given (3,4) and = (-6,8), find:
3. 30+2v 3 (3,4) + 2 (-6, 8)
5. || v|
Given u-3i-j.v-i+5j and w=2j, find:
7. 3(w-u)
9. u-v
11. A unit vector in the direction of v.
vya+(6+0112
√74
4.v-2u
6. -
8. || |
10. W.
12. A vector with magnitude of 7 and in the direction of u.
13. A vector has a magnitude of 7 and a direction of 0 = 90°. Find the vector's component form.
14. A vector has a magnitude of 6 and a direction of 0= 210°. Find the vector as a linear
combination.
The solutions for the vectors are;
3. (-3, 28) 4. (-12, 0). 5. (10) 6. u × v = (48)
7. -9i + 9j 8. √26 9. -16 10. -10 11. (1/√26)i + (5/√26)j
12. (21/√10)i - (7/√10)j 13. (0, 7) 14. -3√2i - 3√2j
Hw do we solve for the vectors?Given that the vectors u = (3, 4) and v = (-6, 8),
3u + 2v:
3u = 3 × (3, 4) = (9, 12)
2v = 2 × (-6, 8) = (-12, 16)
(9-12, 12+16)
= (-3, 28)
v - 2u:
2 × (3, 4) = (6, 8)
= (-6-6, 8-8)
= (-12, 0)
The magnitude of vector v, ||v|| =
√(-6)² + (8)²
= √(36 + 64)
= √100
= 10
u x v =
u1 × v2 - u2 × v1 =
3 × 8 - 4 × (-6) =
24 + 24
= 48
3(w-u) =
3(2j - (3i - j)) =
3(2j - 3i + j) = 3(-3i + 3j)
3(w-u) = -9i + 9j
Unit vector = v / ||v|| =
(i + 5j) / √26 =
(1/√26)i + (5/√26)j
x = r × cos(θ) = 7 × cos(90°) = 0
y = r × sin(θ) = 7 × sin(90°) = 7
Find more exercises on vectors;
https://brainly.com/question/4579006
#SPJ1
Subtract the rational expressions: Options are in picture
(The first picture from the left is the question. The rest are options.)
The expression is subtracted to give (a-2)(a+3)/2a². Option A
How to simply the expression
We need to know that algebraic expressions are defined as expressions that are made up of terms, variables, constants, factors and coefficients.
These expressions are made up of arithmetic operations, such as;
Addition BracketSubtractionMultiplicationParenthesesFrom the information given, we have;
a+ 1/2a - 3/a²
Find the lowest common factor
a( a + 1) - 2(3)/2a²
expand the bracket, we have;
a² + a - 6/2a²
factorize the numerator
a² + 3a - 2a - 6/2a²
a(a + 3) - 2(a +3)/2a²
(a-2)(a+3)/2a²
Learn more about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
cartier, the luxury french jeweler, offers engagement rings that cost more than $100,000. this is an example of __________ pricing.
The renowned French jeweler Cartier sells engagement rings that cost more than $100,000. This is an illustration of premium pricing.
A premium pricing strategy is one in which a corporation sets high prices for its products or services in order to target high-end or luxury markets. The company's high costs are intended to give an appearance of exclusivity, quality, and status, as well as to appeal to clients ready to pay a premium for the brand and the related lifestyle.
Cartier, for example, targets wealthy customers searching for high-quality, luxury jewelry to commemorate major events in their lives by producing engagement rings that cost more than $100,000. The premium pricing strategy assists Cartier in positioning itself as a high-end luxury brand and distinguishing itself from competitors.
To know more about pricing strategies, visit,
https://brainly.com/question/27124956
#SPJ4
Erica recorded the number of sales she made during each of the first 4 months when
she began her new career. Erica plotted the data on a coordinate grid, and she noted
that the data correlate to an exponential equation, as shown.
What is the domain of the function shown in the graph?
The domain for the given graph is obtained as {1, 2, 3, 4}.
What is a function?A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.
From the graph of the given exponential function,
The set of ordered pairs can be written as follows,
{(1, 10), (2, 20), (3, 40), (4, 80)}
Since the domain is the set of first elements for a given pair of ordered set.
The domain is given as {1, 2, 3, 4}.
Hence, the domain obtained from the given graph is {1, 2, 3, 4}.
To know more about function click on,
https://brainly.com/question/21145944
#SPJ2
The graph missing in the question is attached here.
Ik this is kinda easy but I got stuck at one part. Thxs Solve the equation –25 + 4y = 35 for y. A. 8 B. 10 C. 15 D. 20
\(solution \\ - 25 + 4y = 35 \\ or \: 4y = 35 + 25 \\ or \: 4y = 60 \\ or \: y = \frac{60}{4} \\ y = 15\)
Hope it helps...
Good luck on your assignment....