Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
If 2 gallons of milk cost $8.00, how much is 1 quart of milk?
A group of friends wants to go to the amusement park. They have no more than $160 to spend on parking and admission. Parking is $8, and tickets cost $38 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
4
Step-by-step explanation:
Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:
8 + 38(x) ≤ 160
8 + 38x ≤ 160
38x ≤ 160 - 8
38x ≤ 152
x ≤ 152/38
x ≤ 4
The number of people that can go to the amusement park will be at most 4.
Hence the answer is 4.
74.88 is what percent of 72?
Answer:
104%
Step-by-step explanation:
help me please. i have been doing this for a long time
Answer:
I am deeply sorry.
Step-by-step explanation:
I am really sorry about how long it takes you to do "this". My best advice is to take a break and think it out slowly.
If the confidence interval and hypothesis test both used the same data, how did they come up with different standard errors
Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques
Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
What is confidence interval?
Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.
We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.
Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.
To learn more about Confidence intervals and hypothesis tests click :
https://brainly.com/question/19755291
#SPJ2
Can someone please help me with this
Answer:
f(x) = 3x +4f(x) = 5x +2f(x) = -4x +11f(x) = -4x +11 (same table as problem 3)Step-by-step explanation:
To write the equation for f(x) in slope-intercept form, you need to know the slope and the y-intercept. The y-intercept is the value of f(x) when x=0. You can read this directly from the table.
The slope is the ratio of the change in f(x) to the change in x. It can be computed using the formula ...
m = (y2 -y2)/(x2 -x1)
where (x1, y1) and (x2, y2) are any two pairs of numbers from the table. You can use the first two table rows, for example.
__
1. m = (10 -4)/(3 -0) = 6/3 = 2; y-intercept = 4 (from ordered pair (0, 4))
y = mx +b . . . . line with slope m and y-intercept b
f(x) = 2x +4
__
2. m = (2 -(-3))/(0 -(-1)) = 5/1 = 5
f(x) = 5x +2
__
3. m = (11 -19)/(0 -(-2)) = -8/2 = -4
f(x) = -4x +11
__
4. same as 3.
any of these please i don't get this
Answer:
33. $5.75
34. 15 ft
35. 8
36. 32
Step-by-step explanation:
These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.
__
33.You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...
x = cost of a milk shakey = cost of a sundaeThe given relations have to do with the prices of different quantities of these:
2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes
4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes
These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).
2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)
4y = 23.00 . . . . . . simplify
y = 5.75 . . . . . . . . . divide both sides by 4
The cost of an ice cream sundae is $5.75.
We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.
__
34.There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.
Volume of a cone of radius r and height h: V = 1/3πr²h
Volume of a cylinder of radius r and height h: V = πr²h
It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.
The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.
V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³
V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit
400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000
x = 2000(3/400) = 15 . . . . multiply by 3/400
The height of the top portion is 15 feet.
__
35.This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.
We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.
The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:
|g(-6)| = |-8| = 8 = |g(a)|
__
36.This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.
Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...
96x²/(ax) = 3x
Multiplying by ax gives ...
96x² = 3ax²
Dividing by 3x², we see that ...
(96x²)/(3x²) = (3ax²)/(3x²)
96/3 = a = 32
The value of 'a' is 32.
Helppppp it's due todayyyyyyyy.
Answer:
65.1mm
Step-by-step explanation:
(4*3+4*3+5.7*3/2)*2
(12+12+8.55)*2
32.55*2
65.1mm
g/(g ^ 2 + 4g) - g/((g + 4) ^ 2) =?
Simplify.
Answer:
[tex] \frac{4}{(g + 4) ^{2} }[/tex]
Step-by-step explanation:
Factor the expressions that are not already factored in g/g² + 4g.[tex] \frac{g}{g(g + 4)} - \frac{g}{(g + 4) ^{2} } [/tex]
Cancel out g in both numerator and denominator.[tex] \frac{1}{g + 4} - \frac{g}{(g + 4) ^{2} } [/tex]
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of g+4 and (g+4)² is (g+4)². Multiply 1/g + 4 times g + 4/g + 4.[tex] \frac{g + 4}{(g + 4) ^{2} } - \frac{g}{(g + 4) ^{2} } [/tex]
Since g + 4/(g + 4)² and g/( g + 4)⁴ have the same denominator, subtract them by subtracting their numerators.[tex] \frac{g + 4 - g}{(g + 4) ^{2} } [/tex]
Combine like terms in g+4−g.[tex] \frac{4}{(g + 4) ^{2} } [/tex]
Expand (g + 4)².[tex] \frac{4}{g^{2} + 8g + 16 } [/tex]
Hope It's Help
1 2/3 + (2 1/2) = ?
pls help
The answer is about 4.1.
Weslyes family spent $1,400 on a trip to the Grand Canyon. They spent 30% of the total on a sightseeing helicopter flight. Wesley estimates that his family spent about $450 on the flight
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible
Answer:
She lives in the Southern Hemisphere.
Step-by-step explanation:
can someone PLEASE tell me the answer to this?
Show your work and explain please :D
Answer:
6ft: 25.667ft / 7ft: 22ft
Step-by-step explanation:
Since the question shows 7ft but the diagram shows 6ft I will show how to do both
FOR 6FT
Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft
Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x
6/28 = 5.5/x
6x = 154
x = 25.667ft
FOR 7FT
Same process as before, replace 6 with 7
7/28 = 5.5/x
7x = 154
x = 22ft
help meeeee it's some math stuffff
, leisan can drive 32 miles on every gallon of gasoline. if she fills up her tank for $2.39 per gallon, how much will it cost her to drive 448 miles?
Answer:
It will cost her $33.46
Step-by-step explanation:
She drives 32miles per gallon
In 448miles, she will use: (448 × 1)/32
= 14gallons
If a gallon costs $2.39
Then 14gallons will cost, 14×2.39
= $33.46
If x= √3, find the value of x⁴.
Answer:
9
Step-by-step explanation:
Hi there!
We're given that x=√3, and we want to find the value of [tex]x^4[/tex]
We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.
An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.
If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:
(√3)² * (√3)²
The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,
(√3)² = (√3)(√3)=3
And then the number on the right of the multiplication sign:
(√3)² = (√3)(√3)=3
Substitute these numbers in as (√3)² and (√3)²:
3 * 3 = 9
Therefore, x² * x², or [tex]x^4[/tex] is equal to 9
Hope this helps!
what is the value of x?
[tex] \large \text{answer} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]
' X ' has no value, v should consider x has ' 1 '
What’s the answer to 2/3 -1/2
the answer is 1/6 bbbbbbbbb
Step-by-step explanation:
bring both fractions to the same denominator (bottom number). then we can readily compare our add or subtract them.
what is the snaked common multiple of 2 and 3 (the smallest number that can be divided without remainder by both numbers)?
it is 6 (in case of doubt simply multiply both numbers and use the result as common denominator).
so, we need to bring both to fractions in the form .../6.
2/3 = 4/6
1/2 = 3/6
so,
4/6 - 3/6 = 1/6
and that is the answer to the original question.
A bird flying 45 feet above a river dives
down 58 feet to catch a fish. Find the
location of the fish relative to the surface of
the water.
What is the value of the expression below?
|3| + |-3| + |-1|
Answer:
7
Step-by-step explanation:
After a number is taken out of the absolute value sign, it becomes positive. Therefore, |3| = 3, |-3| = 3, and |-1| = 1. Adding these up, we get 3 + 3 + 1 = 7
Can some one help me
Answer:
Step-by-step explanation:
Line A:
Mark two points in line A.
(1,3) & ( 2 , 5)
[tex]Gradient =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{5-3}{2-1}=\dfrac{2}{1}\\\\\\= 2[/tex]
Line B:
(0,5) ; (5,0)
[tex]Gradient = \dfrac{0-5}{5-0}=\dfrac{-5}{5}=-1[/tex]
Find the greatest common factor of 21 and 46.
Answer:
1
Step-by-step explanation:
Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3
Answer:
1
Step-by-step explanation:
they are both co-prime (numbers that have a common factor of only 1)
is every rhombus a rectangle
Answer:
No
Step-by-step explanation:
Some rhombus doesn’t have all 90 degrees angles and that is an requirement for rectangles.
simplify the ratio 6 : 10 : 22
Answer:
3:5:11
hope this helps u!!
Answer:
3 : 5 : 11
Step-by-step explanation:
6 : 10 : 22
Divide each term by 2
6/2 : 10/2 : 22/2
3 : 5 : 11
Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.
m=3-1/3+2=2/5
Equation of line in point slope. form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]
[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]
[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]
The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
What is the slope of the line?The slope of a line is defined as the angle of the line.
Given that line passes through the points (-2, 1) and (3, 3)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]
⇒ y - 1 = (2)/(5)[x+2]
⇒ y - 1 = 2/5(x -3)
⇒ y = (2/5)x - 6/5 + 1
⇒ y = (2/5)x - 1/5
Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
Learn more about the Lines here:
brainly.com/question/14511992
#SPJ2
Please help- it's due in a week-
Answer:
100x + 150y = 3050
x + y = 23
Step-by-step explanation:
the other answer had the right start and equations, and then did not give the result.
so, here the full picture :
x + y = 23
100x + 150y = 3050
so, the first equation gives us
x = -y + 23
which we can now use in the second equation
100(-y + 23) + 150y = 3050
-100y + 2300 + 150y = 3050
50y = 750
y = 15 (15 adults)
x = -y + 23 = -15 + 23 = 8 (8 minors)
What is the solution to the inequality -6_5>-29
Answer:
If it's true or false than it's true.
One day, Fiona and Heidi each bought coins at a coin shop. The equation f(x)=3x 12 represents the value of Fiona’s coin, in dollars, x years later. The graph shows the value of Heidi’s coin, in dollars, x years later. Select from the drop-down menus to complete the statement. When they bought their coins, Choose. Coin was worth Choose. More than Choose. Coin.
Answer:Fiona's,$6,Heidi's
Step-by-step explanation:
Because i did quiz.
1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)
Answer:
In this this construction reflections is present on the 2 line posts by the side. Why I say this is because the line post on the right reflected or translated to the right. Also the little line in the middle was a rotation and dilation, to stay between the posts. So this is why this stool took a translations, reflections, and rotations.
Hope this helps
Step-by-step explanation:
For each triangle, a base and its corresponding height are labeled. Find the area of each triangle.
Answer:
The area of the triangle is equal to half of the base times the height: A = b x h x 1/2 You could find the area of a triangle with base length of 4 inches and height of 3 inches as follows: A = 4 inches x 3 inches x 1/2 = 6 square inches
Step-by-step explanation:
The corresponding height is the length of a perpendicular segment from the base to the vertex opposite of it. The opposite vertex is the vertex that is not an endpoint of the base.