Write an absolute value inequality to represent each situation.
Two friends are hiking in Death Valley National Park. Their elevation ranges
from 228 ft below sea level at Badwater to 690 ft above sea level at Zabriskie
Point. Let x represent their elevation in feet.
Answer:
║ x - 231 ║ ≤ 459
Step-by-step explanation:
Since we have 228 ft below sea level, this is x' = -228 ft. Also, we have 690 ft above sea level, this is x" = 690 ft.
Since x is our elevation in feet, x ranges from -228 ≤ x ≤ 690.
To write an absolute value equation for x, we first take the average of the two values for the ranges to obtain the ideal value of x.
So, ideal value = [690 + (-228)]/2 = 462/2 = 231.
We also find the tolerance by taking the difference of both values and dividing by 2. So tolerance = [690 - (-228)]/2 = [690 + 228)]/2 = 918/2 = 459.
Subtracting 231 from each value of the inequality we have
-228 - 231 ≤ x - 231 ≤ 690 - 231
-459 ≤ x - 231 ≤ 459
Since we have in magnitude the values on the left and right side of the inequality,
So ║ x - 231 ║ ≤ 459
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Answer:
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Parker is in the business of manufacturing phones. He must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The equation C=175p+400 can be used to determine the total cost, in dollars, of producing pp phones in a given day. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
9514 1404 393
Answer:
400; building and equipment fixed cost
Step-by-step explanation:
The cost equation has two terms. The constant term (400) is the daily fixed cost of building and equipment. The variable term (175p) represents the cost of producing p phones.
The y-intercept is 400. It is the daily fixed cost of the building and equipment.
Answer:
The y-intercept of the function is 400 which represents the fixed cost for rent and equipment.
Step-by-step explanation:
Since Parker must pay $400 even to make 0 phones, that means $400 is the fixed cost that Parker must pay for rent and equipment regardless of the number of phones produced.
Have a good day :)
Manuel se ha gastado 2/8 partes de la paga en ropa y 1/12 parte en dulces. ¿Qué fracción de la paga le queda?, ¿Si le dieron 45€ de paga, cuanto ha gastado y cuanto le queda?.
Responder:
2/3; 30 €
Explicación paso a paso:
Fracción gastada en ropa = 2/8
Fracción gastada en dulces = 1/12
Fracción restante:
1 - (Fracción gastada en ropa + fracción gastada en dulces)
1 - (2/8 + 1/12)
L. C. M de 8 y 12 = 24
1 - (6 + 2) / 24
1 - 8/24
1 - 1/3
= (3 - 1) / 3
= 2/3
Si la paga era de 45;
Cantidad restante: 2/3 de 45
= 90/3
= 30 €
Complete the equation of the line through (3,-1) and (4,7)
Answer:
y=8x-25
Step-by-step explanation:
I put my work in the picture I attached
Answer:
y=8x-25
Step-by-step explanation:
1) You find the slope by doing y2-y1/x2-x1 (so 7-(-1)/4-3) then you get the slope of 8
2) then you plug in some points using the slope (I'll use the point (3,-1)) : -1=8(3)+b
3) to find "b", you solve: -1=24+b --> b=-1-24 --> b=-25
4) then you put everything together and you get y=8x-25
solve 4/r = 5/20 will mark brainliest
Answer:
= 16
Step-by-step explanation:
Simplify \frac{5}{20}
20
5
to \frac{1}{4}
4
1
.
\frac{4}{r}=\frac{1}{4}
r
4
=
4
1
2 Multiply both sides by rr.
4=\frac{1}{4}r4=
4
1
r
3 Simplify \frac{1}{4}r
4
1
r to \frac{r}{4}
4
r
.
4=\frac{r}{4}4=
4
r
4 Multiply both sides by 44.
4\times 4=r4×4=r
5 Simplify 4\times 44×4 to 1616.
16=r16=r
6 Switch sides.
r=16r=16
Charlie graphs the equation y= –12x+2 .
Select all statements about Charlie's graph that are true.
The graph is a straight line.
The line does not pass through the origin.
The line passes through the point (0, –2) .
The slope of the line is 12 .
The y-intercept of the line is 2.
Answer:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
Step-by-step explanation:
I know that it's a straight line because the equation is written in this format; y=mx+b (this is a linear equation meaning that it must be a straight line). In that equation, m is our slope and b is our y-intercept with this information. I know that the y-intercept is 2 since this equation is this y= –12x+2 (the 2 replaced the b which is our y-intercept). The line does not pass through the origin because its y-intercept is 2 which means it's impossible for the line to pass through the origin. (I hope this makes sense)
Hope this helped you
y+4= 2/3 (x+3) written in standard form
Consider the line y = 2x–4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Parallel slope = 2
This is because the original line has slope 2. Parallel lines have equal slopes.
--------------------------
Perpendicular slope = -1/2
The original slope 2 or 2/1 turns into -1/2 after flipping the fraction and the sign. Note the original slope and perpendicular slope multiply to -1. This is true for any pair of perpendicular lines where neither line is vertical.
Answer:
the slope of the parallel line is 2x
the slope of line perpendicular is -1/2
Step-by-step explanation:
what is 20*5 yay plz help me anwer this
Answer: 100. Can I get a Brainlest.
100 is the answer
Multiply.....
God Bless
Use the inverse variation equation to fill in the table.
Answer: a= 0.1 b=20.775 c=0.02
Step-by-step explanation:
just got it right on edg
Solve: -6y+2(y-6)=12
answer: = -6 mark me brainly
Answer:
Step-by-step explanation:
distribute
=
−
6
I need help with this question.
Answer:
[tex]\displaystyle S_{27}=675[/tex]
Step-by-step explanation:
The sum of N consecutive natural numbers is given by:
[tex]\displaystyle S_N=\frac{N}{2}(F+L)[/tex]
We need to find the sum of the natural numbers between 12 to 38.
To calculate the required sum we have F=12, L=38, but we don't have the value of N.
From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.
Substituting in the formula:
[tex]\displaystyle S_{27}=\frac{27}{2}(12+38)[/tex]
[tex]\displaystyle S_{27}=\frac{27}{2}(50)[/tex]
[tex]\displaystyle S_{27}=27*25[/tex]
[tex]\mathbf{\displaystyle S_{27}=675}[/tex]
Gray started the week with $150 in his checking account. The chart shows the credits and charges to his account during the week.
Credit Charge
$20 $52
$23 $16
$14 $28
How much money did Gray have in his account at the end of the week?
O $3
O $111
$189
$303
Answer:
111
Step-by-step explanation:
150 + 20 = 170
170 - 52 = 118
118 + 23 = 141
141 - 16 = 125
125 + 14 = 139
139 - 28 = 111
The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?
Given :
The cost of 5 pounds of boudin is $26.
To Find :
The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .
Solution :
Price per boudin in terms of x and y is :
[tex]P=\dfrac{y}{x}[/tex]
Price per boudin by given data :
[tex]P=\dfrac{26}{5}[/tex]
So,
[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].
Hence, this is the required solution.
18/24 greater than or less than 55%
Answer:
I think 55°% is less
what slope line passes through the points (-5,3) and (-3,8)
Answer:
5/2
Step-by-step explanation:
i aint never seen two pretty best friends, its always one em gotta be ugly
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the slope of a line passing through two given points, we use the formula:
m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
where m is the slope and[tex](x_1, y_1) ~and ~(x_2, y_2)[/tex] are the coordinates of the two points.
Plugging in the values given, we get:
[tex]m = \frac{8-3}{-3-(-5)} = \frac{5}{2}$$[/tex]
Therefore,
The slope of the line passing through (-5,3) and (-3,8) is 5/2.
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Find the length of C using the Pythagorean theorem
Answer:
14^2+48^2=2500 sqrt2500= 50 c=50
Step-by-step explanation:
The length of c using the Pythagorean theorem is 50 units.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is ABC which is right angle triangle
AB=c
BC=14 and AC=48
We have to find the value of c
By Pythagoras theorem, in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
AB²=AC²+BC²
c²=48²+14²
c²=2304+196
c²=2500
Take square root on both sides
c=√2500
c=50
Hence, the length of c using the Pythagorean theorem is 50 units.
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What is the slope of the linear relationship shown in this table of values? x y -4 11 2 -1 5 -7
Answer:
2
Step-by-step explanation:
-1-11/-4-2 = -12/-6 = 2
The required slope for the linear relationship is -2.
Slope to be determine for table x = -4 2 5, y = 1 -1 -7 showing linear relationship.
Slope of function is defined as the rate at which function is increasing.
Here, slope
[tex]=\frac{y_2-y_1}{x_2-x_1} \\=\frac{-1-11}{2+4}\\= -2[/tex]
Thus, the required slope for the linear relationship is -2.
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Write and solve an inequality to represent the situation below.
When Chelsea babysits, she charges $5 for each hour, x, she works plus $2 for bus fare. Chelsea want to earn at least $33 for her next babysitting job. How many hours must she work?
Find the measure of each numbered angle.
angle 1 is
angle 2 is
angle 3 is
Answer: 360
253
Step-by-step explanation:
6. Camille is a first year accountant and a recent college graduate. She is paid a salary
of $40,000 per year, is expected to work 40 hours a week and is nonexempt because
this is her first year as a staff accountant. During tax season, thirteen weeks from
January 15 through April 15, she works 56 hours a week.
a. Does she receive overtime? Explain.
b. How much is her normal rate per hour?
c. What is her overtime rate per hour?
d. How much extra does Anne earn during tax busy season? (Jan to April)
jk ima awnser in one sec
Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below?
A unit circle is shown. A radius with length 1 has an angle measure of StartFraction pi Over 3 EndFraction
sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the vertical distance from the x-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFraction = StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the horizontal distance from the y-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the horizontal distance from the y-axis on the graph.
Answer:
a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
Step-by-step explanation:
sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.
What is the trigonometric ratio of unit circle?
Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.
The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).
Also, the terminal side intersect the circle at (x, y). Thus;
sin (π/3) = opposite/hypotenuse = opposite/1
Thus;
sin (π/3) = opposite
Also, the length opposite the angle is the vertical distance from the x-axis on the graph.
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When x=1, find the value of y
1) -3
2) -1
3)1
4)-4
Answer:
y = -3
Step-by-step explanation:
The equation of the line is y = -x -2
We plug in the given x value into the equation to find y.
y = -(1) - 2
Simplify.
y = -3
V5. Suppose you invest $5,000 at 9% interest, compounded annually, for 10 years. Determine the future value of your investment, using the compound interest formula.
Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
Percentage rate of increase or decrease y = 3500(1.079)
Answer:
Increase
Step-by-step explanation:
If you multiply the numbers it increases!
every 5 days alma rides her skateboard in the park every 4 days she bikes to her best friends house how often does alma do both
Answer:
In what time frame. It asks how often she does both but does that mean in a week or another span of time?
Step-by-step explanation:
Please help!! I’ve been stuck on 3 & 4!
HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6
Answer:
4+7x-2
Step-by-step explanation:
i dont know how nit is the anwser put i got it right
Some paint is made by mixing 3 cans of white paint to 7 cans of green paint. How many cans of white would you mix with 21 cans of green to keep the colour the same?