Answer:
1.7 (units).
Step-by-step explanation:
1) if the point A has (-0.25;5) and the equation of the given line is -x+2y=14 (Ax+By+C=0), then the required distance can be calculated according to the formula:
[tex]d=\frac{Ax_0+By_0+C}{\sqrt{A^2+B^2} }[/tex] , where A, B and C belong to the given line, x₀, y₀ - coordinates of the given point;
2) A=-1, B=2, C=-14 and x₀=-0.25, y₀=5, then according to the formula above:
[tex]d=|\frac{0.25+5*2-14}{\sqrt{4+1}}|=\frac{3.75}{\sqrt{5}}=\frac{3.75}{2.2}=1.7[/tex]
PLS HELP IN HURRY
*** Which statement best describes the explanatory and response variables in the regression model?
O In the quadratic regression model, the explanatory variable is time and the response variable is the height.
O In the quadratic regression model, the explanatory variable is the height and the response variable is time.
O In the trigonometric regression model, the explanatory variable is time and the response variable is the height.
O in the trigonometric regression model, the explanatory variable is the height and the response variable is time.
Answer:
A. In the quadratic regression model, the explanatory variable is time and the response variable is the height.Step-by-step explanation:
The explanatory variable (or the independent variable) always belongs on the x-axis (represented as the first column of the table).
The response variable (or the dependent variable) always belongs on the y-axis (represented as the second column of the table).
According to the explanation above the correct choice is A
Answer:
C: In the trigonometric regression model, the explanatory variable is time and the response variable is the height.
Step-by-step explanation:
A quadratic regression model is a parabola. If time is x and height is y, it doesn't make sense if the height is 3,600 feet after a minute. (Not to scale) A trigonometric regression model is a sine wave like a sound wave. This makes sense because the Ferris wheel can only go so high. So after a minute, the height might be 8 feet. (Not to scale)
An explanatory variable is what what you manipulate or observe changes in.
A response variable is what changes with the explanatory variable.
For example, age would be an explanatory variable while height would be the response variable. Or, a caffeine dose would be explanatory, while say reaction time would be the response.
Graph the following features:
Y-intercept = -2
Slope = 1
Answer:
Follow the steps below!
Step-by-step explanation:
If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.
Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler or other straight edge if straight lines are a challenge to draw.
Line L1 has gradient 2 and is perpendicular to line L2. Line L2 passes through the point P(2, 1).
Find the x-coordinate of the point where L2 meets the x-axis.
Answer:
line L1 and line L2 passes L2.
The x-coordinate of the point where L2 meets the x-axis is (1, 4).
What is the Point-slope form?The equation of the straight line has its slope and given point.
The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line (x₀, y₀) is the given point.
First is to get the slope of the known line:
The standard equation of the line
y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 so,
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (2, 1) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis;
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence, the equation of the line L2 is 2y+x = 5
Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
Determine the value of x for which r || s. then find m<1 and m<2.
Answer:
thx you so much
have a nice day
Help pleaseeeeeeeeeeee
Answer:
[tex]f(x) = 2x + 5 \\ y = 2x + 5 \\ x = 2y + 5 \\ 2y = x - 5 \\ y = \frac{1}{2} x - \frac{5}{2} \\ y = {f}^{ - 1} (x) = \frac{x - 5}{2} [/tex]
What is the proportional rate for 15/21=20/y?
Answer:
y=28
Step-by-step explanation:
15/21=20/y
15y=420
y=28
Solve for x: x-2 =10
X - 2 = 10
To solve for x add 2 to both sides of the equal sign:
X = 12
Answer:
x = 12
Step-by-step explanation:
Add 2 to both sides of the equation
x−2=10
−2+2=10+2
Simplify
Solution:
x = 12
How many students spent less than 61 mins studying
6
11
12
17
Answer: 17
Step-by-step explanation:
a video store is selling previously owned dvds for 40% off the regular price of $15. what is the sale price of the dvds.
Answer:
$9
Step-by-step explanation:
A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs?
40% = 0.4
15 * 0.4 = $6 (Discount)
15 - 6 = $9 (Sale Price)
Therefore the Answer is: $9
28 is 40% of what number
Answer:
70 i think i dont know for sure
Step-by-step explanation:
40 x 70
__________
100
= 28
55000/500 in standard form
Answer:
i think it is 110
Step-by-step explanation:
sorrt if i am wrong
Anna Page, a teacher, earns $1.320 semimonthly. If the school's insurance plan costs a total of
$2,868 and it pays 75 percent of the cost, how much is deducted from each of Page's
paychecks?
Do Hors senderized Meta RecticeMelvin divers, a traveling salesman, has company medical
this
insurance as well as travel insurance. The company he works for pays 60 percent of the
medical insurance and 90 percent of the travel insurance. If the medical insurance has an
annual cost of $3,500 and the travel insurance costs $1,200 per year, what total amount is
deducted from his weekly paycheck for insurance?
A. $2923 B.-561.15 G365 D. 59.04
(a) The amount that is deducted from each of Page's paychecks semimonthly is $717.
(b) The amount deducted per week is option A, $29.23.
(a) Given that:
The amount earned by Page semimonthly = $1320
Total cost for the insurance plan = $2868
The school pays 75 per cent of the cost.
The percentage of the insurance cost that Page has to pay = 100% - 75% = 25%.
The amount deducted from the paycheck of Page is:
A = 25% × $2868
= $717
(b) Given that:
The annual cost of medical insurance = $3500
The percentage of this insurance he has to pay = 100% - 60% = 40%.
Annual deduction from his paycheck = 40% × 3500
= $1400
The annual cost of travel insurance = $1200
The percentage of this insurance he has to pay = 100% - 90% = 10%.
Annual deduction from his paycheck = 10% × 1200
= $120
Total amount deducted per year = $1400 + $120
= $1520
Number of weeks in a year = 52 weeks
The amount deducted per week = [tex]\frac{1520}{52}[/tex]
= [tex]$29.23[/tex]
Hence, the correct option is A. $29.23.
Learn more about Percentage here :
https://brainly.com/question/14953910
#SPJ7
A few weeks ago, Tori bought 4 apples from her local farmers' market. Today, she bought 3 apples. What is the percent of decrease in the number of apples bought?
Answer:
25%
Step-by-step explanation:
(original value - new value / original value) x 100
So
4 - 3 = 1
1/4 = 0.25
0.25 x 100 = 25
So there was a 25% decrease in the number of apples bought.
Hope it helps :)
what is the value of Y
Answer:
y = 150º
Step-by-step explanation:
The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:
2x + x + (x - 20) = 180
4x - 20 = 180
4x = 200
x = 50
x - 20 = 50 - 20
x - 20 = 30
y = 180 - 30
y = 150º
John makes $8.25 per hour after he got a 50 cent raise. Write the equation
Answer:
8.25+50
Step-by-step explanation:
(1 – xi)(5 – i) – (1 + 3xi)(5 – i)
-
Simply
Answer:
-20xi -4x
Step-by-step explanation:
Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)
Answer:
x=[tex]\sqrt{220}[/tex]
Step-by-step explanation:
Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.
We know that
a²+b²=c²
Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).
In this case,
x=a
b=6
c=16
So to plug these into the equation, we get:
x²+6²=16²
To isolate x,
we get:
x²=16²-6²
x=[tex]\sqrt{16^2-6^2}[/tex]
[tex]x=\sqrt[]{220}[/tex]
_________
[tex] \: [/tex]
x² = 16² - 6²
x² = 256 - 36
x² = 220
x = √220
x ≈ 14.9cm
Simplify (5 +3i)+(-7-4i)
Please help, I’ll mark your answer as brainliest!
Answer:
1,234 thats the answer
what is the unit rate for miles per gallon if you travel 588 miles on 28 gallons of fuel
Answer: im pretty sure its 21 mi per gal
Step-by-step explanation:
guy pls help me!!!!!
Answer:
Straight line is 180 degrees
Subtract what you know 180-55-90 = 35
(6r-7)=35
35-7=28
28/6=4.66666
r=4.6666
Answer:
7
Step-by-step explanation:
90(right angle) + 55(Acute angle) = 145.
We know the whole angle equals 180 because it is 2 right angles. 90 + 90.
So, we will do 180 - 145 = 35.
Now we know our mystery angle equals 35.
To figure out r, we will do 35 + 7 = 42.
Then, 42 is divided by 6 and gets 7.
Therefore, 7 would be your answer.
-kiniwih426
Given the function h(x) = 7 + 2x, find the value of h(6)
Answ 21?
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
The value of h(6) can be found by substituting 6 into the given equation where x is.
h(6)=7+2(6)=7+12=19
Which shape is simulator shape one
Answer:
B
Step-by-step explanation:
(x-x)(x+1)-x ( x+2)
(x-1) (x^3+x^2+x+1)
Answer:
−x^6−2x^5+x^2+2x
Step-by-step explanation:
Please solve... I will mark you brainliest
Answer:
x = 5
Step-by-step explanation:
[tex]6x - 20 = 2x \\ - 20 = 2x - 6x \\ - 20 = - 4x \\ \frac{ - 20}{ - 4} = x = 5[/tex]
Determine
f(a + h) - f(a)
for f(x) = 1 - x2 and simplify.
Answer:
h^2+2ah
Step-by-step explanation:
When f(x) = 1-x^2
f(a) = 1 - a^2
f(a+h) = 1 - (a+h)^2
= 1 - a^2 + 2ah + h^2
Subtracting the two:
f(a+h) - f(a)
= (1 - a^2 + 2ah + h^2) - (1-a^2)
= 1 - 1 - a^2 + a^2 + 2ah + h^2
= 2ah + h^2
= h^2 + 2ah
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
i need help with this fast
Answer:
68
Step-by-step explanation:
the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.
Explain the relationship between place values, and how the place values change as you go to the left and to the right. Use the numbers 10, 1, and 0.1 in your explanation.
Answer:
the place value changes by dividing by 10 or multiplying by 10. take one and go right on the number line you get 10. go left from 1 and you get 0.1
please help I dont understand
Answer:
3rd option
Step-by-step explanation:
A direct variation is expressed in this form:
y = kx
1. y - 4x = 8
y = 4x + 8 is not a direct variation
2. y + 2 = 7x
y = 7x - 2 is not a direct variation
3. y - 3x = 0
y = 3x is a direct variation
4. y = 5x - 2
y = 5x - 2 is not direct variation
An article reports that men over 6 feet tall earn more than men under 6 feet, with these numbers: average 6 foot plus male’s salary $55,000, average male’s salary under 6 foot tall of $47,000, with a p-value of 0.45. Based on that reported p-value, and using the common definition of "statistical significance," which is the case?
a. With that p value, the results are not significant.
b. The salary differences are statistically significant.
c. The salary differences are not statistically significant.
d. With that p value, the differences are very close but not statistically significant.
Answer:
A
Step-by-step explanation:
The salary differences are found to be statistically significant.
What is Statistical Significance?Statistical significance refers to the claim that a result from data generated by testing or experimentation is not likely to occur randomly or by chance but is instead likely to be attributable to a specific cause.
It is given that
Average 6 foot plus male’s salary = $55,000
Average male’s salary under 6 foot tall = $47,000
p-value = 0.45
As the p-value 0.45 is greater than p-value 0.05,
So statement men over 6 feet tall earn more than men under 6 feet is acceptable, we can say that salary differences are statistically significant.
Therefore, The salary differences are found to be statistically significant.
To get more about statistical significance visit:
https://brainly.com/question/15848236