Answer:
17 = e^2.8332
Step-by-step explanation:
Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.
Group of answer choices
(5, −1)
(1, −2)
(−5, −1)
(−10, 6)
The coordinates of point E on the given line CD is; Option C: (-5, -1)
We are given the points with coordinates;
C (-7 , - 4) and D(-1 , 5 )
Now, we are told that point E divides CD in the ratio 1:2.
Let coordinate of E be (x, y)
The formula to find (x, y) is;
x = (mx2 + nx1)/(m + n)
y = (my2 + ny1)/(m + n)
Where m:n is the ratio of the partition. Thus;
x = (1*-1 + 2*-7)/(1 + 2)
x = -15/3
x = -5
Similarly;
y = (1*5 + 2*-4)/(1 + 2)
y = -1
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plzz help its so confusing
espero que sea de tu agrado la tarea que te estoy enviando
soy de peru
brillith2022
Mofor had $21 to spend on two notebooks.
After buying them he had $13. How much
did each notebook cost?
Two-step equations
Step-by-step explanation:
21-13=8
8÷2=4
A note book costs 4$
Answer:
the unit price of the notebooks: $4
Step-by-step explanation:
Mo starts with $21 and finds himself left with $13 after buying the notebooks. Subtracting $13 from $21 results in $8, the amount he spent on two notebooks. Dividing $8 by 2 yields the unit price of the notebooks: $4
Solve this quadratic function
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{3}{2(-1)}~~,~~8-\cfrac{3^2}{4(-1)} \right)\implies \left( \cfrac{3}{2}~~,~~ 8+\cfrac{9}{4}\right)\implies \left( \cfrac{3}{2}~~,~~ \cfrac{41}{4}\right)[/tex]
now, for the solutions, or namely the x-intercepts, we simply set y = 0 and solve for "x", now this one doesn't factor into integers nicely, so we'll need to use the quadratic formula to get them.
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+3}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{ - 3 \pm \sqrt { 3^2 -4(-1)(8)}}{2(-1)}\implies x = \cfrac{-3\pm\sqrt{9+32}}{-2}\implies x = \cfrac{3\mp\sqrt{41}}{2}[/tex]
[tex]x = \begin{cases} \cfrac{3-\sqrt{41}}{2}\\[2em] \cfrac{3+\sqrt{41}}{2} \end{cases}\qquad \leftarrow \qquad na mely\textit{ solutions or zeros or x-intercepts}[/tex]
which inequality represents this graph
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
Help me with questions please
Answer:
530.93 OR 530.9
Step-by-step explanation:
Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]
So now we multiply 13 squared or 13 x 13 which equals 169
Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give us our answer.
530.93
530.9
what is multiple integrals
Solve the Linear Quadratic system of equations
y=x^(2)+2x-9
y=-2x+3
9514 1404 393
Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
The percent of Ivy Tech students receiving financial aid in 2018 was 82%, this was a 9.8% relative increase from 2017. What would the percent of students receiving aid in 2017 have been?
Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.
Answer: 5.824 m / min
Step-by-step explanation:
Change in position = -2.1m to -38.6m
Distance = |-38.6 m - (-2.1m) |
=|-36.5| m
= 36.5 m
Time =
The average change in Michelle's position each minute =
Hence, the average change in Michelle's position each minute = 5.824 m / min
What is the slope of the line that
passes through these two points?
Simplify your answer completely.
Enter
Answer:
2/6
Step-by-step explanation:
you move up to spaces and over six spaces
Are the triangles congruent! (Help)
10.
Use the quadratic function to predict y if x equals 6.
y = 2x2 − 2x − 2
A. y = 60
B. y = 58
C. y = −60
D. y = −58
Answer:
B. y = 58
Step-by-step explanation:
b) y=58 you follow the instructions
...............................................................................................................................................
The given quadratic function is
y= 2x^2 - 2x - 2
We have to find the value of the function y at x=6.
Substitute x=6 in the given function.
y= 2(6)^2 - 2(6) - 2
y= 2(36) - 12 - 2
y= 72 - 14
y= 58
The value of the function is 58 at x=6 is 58.
Therefore the correct option is B.
The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?
Answer:
266.5%
Step-by-step explanation:
The sale price of a bike after being discounted 20% is $213.20. Which equation can you use to find the original cost of the bike b?
213.2 : 80 = x : 100
x = 213.2 * 100 : 80
x = 266.5
------------------------------
check
266.5 - 20% = 213.2
the answer is good
4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12
Answer:
12/12
Step-by-step explanation:
6/12= 1/2
so 1/2+1/2 = One Whole and that the same thing as 12/12
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
100 POINTS! show work or i report!
Michael purchases a refrigerator for $4,000. On average, it costs $120 per year in electricity to leave it running 24/7. What is the average yearly cost to own and operate this refrigerator at the end of 6 years?
Answer:
$4,720
Step-by-step explanation:
$4,000 fridge
$120/1 year
[tex]\frac{120}{1} = \frac{x}{6}[/tex]
120 * 6 = 720
720 / 1 = 720
$720 for 6 years
720 + 4,000 = 4,720
$4,720
Answer:
$4,720
Step-by-step explanation:
i need help plz the question is in the image
Answer:
46<h
Hopes this helps :)
What is the simplified form of the expression? 7r - 8r + 13 -2r + 5? Please help me
Answer:
- 3r + 18
Step-by-step explanation:
7r - 8r - 2r + 13 + 5 = 7r - 10r + 18
Abby bought 5 chocolate bars from the store. She gave 1/4 a bar to her firends. How many freinds got chocolate
Answer:
5
Step-by-step explanation:
Just 1/4 from each of 5 bars so 5.
Answer:
20
Step-by-step explanation:
So if we divide 5 by 1/4 that gives us 20, which is the total amount of friends she can give 1/4 of a bar too
HELP!! DUE IN 10 MINS!!!
Solve the following system using the elimination method.
x+y=12
x−y=12
Answer:
x = 12
y = 0
Step-by-step explanation:
Sum them:
2x = 24
so x = 12
12 - y = 12
so y = 0
is it linear??? plzzzzz
Answer:
Not a linear function
Step-by-step explanation:
3xy = 27 is not a linear function.
A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form). An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.
Isolating y from the left-hand side:
3xy = 27
On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy is the same as expressing it as 3·x·y.
We cannot simply add or subtract x or y to isolate either one of the variables. The proper mathematical operation to do so is by division.
Hence, we must divide both sides by 3x to isolate y:
[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]
[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0. The graph of an inverse function is a hyperbola.
Attached is the graph of [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex] to show why it is not considered as a linear function. A linear function will show a straight line.
A new yo-yo factory is operating at 80%
of capacity and produces 4,000 yo-yos
daily. When the factory reaches 100%
of capacity, how many yo-yos should be
produced each day?
Answer:
5,000 yoyos per day
Step-by-step explanation:
80 x 1.25 = 100
4,000 x 1.25 = 5,000
Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slope-intercept form. y = -2 x + 5 y = -2 x + 3 What do the equations have in common? How are they different?
Step-by-step explanation:
Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x
Write each equation in slope-intercept form.The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.
2x + y = 5Subtract 2x from both sides:
2x - 2x + y = - 2x + 5
y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.
3y = 9 − 6xDivide both sides by 3 to isolate y:
3y = − 6x + 3
[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]
y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.
What do the equations have in common?y = -2x + 5
y = -2x + 3
These equations have the same slope, m = -2.
How are they different?They have different y-intercepts.
y = -2x + 5 ⇒ The y-intercept is (0, 5), where b = 5.
y = -2x + 3 ⇒ The y-intercept is (0, 3), where b = 3.
The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.
Step 1: Write each equation in slope-intercept form.
Given system of equations:
1. 2x + y = 5
2. 3y = 9 - 6x
Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.
Let's rewrite the equations in slope-intercept form:
1. 2x + y = 5
Subtract 2x from both sides: y = -2x + 5
2. 3y = 9 - 6x
Divide both sides by 3: y = -2x + 3
Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.
The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.
The difference in y-intercepts means that the lines are parallel and run parallel to each other.
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What is 100% of 63?
PLEASE ANSWER QUICKLY
Answer:
100 percent of 63 is 63
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
100 x 63 /100 = 63
4. In a simple random sample of 120 women and 150 men from
a population of 150,000, 25% of the women and 37% of the men
are smokers. Suppose you are interested in comparing the
proportion of smokers by sex, compute the Z statistic.
The z-test compares the two sample to determine the existence of a
difference in the two proportion.
The Z-statistic or test of the difference in proportion is approximately -2.106.Reasons:
The given parameter are;
Number of women, n₁ = 120 women
Number of men, n₂ = 150 men
The population size = 150,000
Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%
Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%
The Z statistic is given as follows;
[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]
Number of men = 0.37 × 150 = 55.5
Number of women = 0.25 × 120 = 30
[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]
Which gives;
[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]
The Z-statistic is approximately -2.106
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what is the greatest common factor of
8x - 12
Answer:
4
Step-by-step explanation:
8x - 12
4(2x - 3)
Use technology to find the P-value for the hypothesis test described below
The claim is that for 12 AM body temperatures, the mean is > 98.6°F. The sample size is n = 3 and the test statistic is t=2.446
P-value = (Round to three decimal places as needed)
Answer: C
Step-by-step explanation:
Hope it help
Assuming that the data for all employees follows the same pattern, which kind of relationship is
there between years of higher education and current salary?
A- a clustered relationship
B- there is no relationship
C- a negative correlation
D- a positive correlation
Answer:
D- A POSITIVE CORRELATION
Original price of a puppy $159.95 Discount 15% Tax 8.725%?
Answer:
$124.095
Step-by-step explanation:
Discounted Price= $159.95- 15%of $159.95=$135.9575
Final Price= Discounted price + Tax
= $135.9575+ 8.725% of $135.9575
= $135.9575-$11.8622
=$124.095
What is the interior degree measure of angle A?
Answer:
in the pictureStep-by-step explanation:
opposite corners first, then adjacent corners, and so on