When lava is expelled from a volcano, it temperature may vary from 700 degrees Celsius to 1200 degrees Celsius. Write an absolute value equation that represents the minimum and maximum temperatures of lava. Use x to represent the temperature.
Equation:__
Answer:
Ix - 950°C I ≤ 250°C
Step-by-step explanation:
We are told that the temperature may vary from 700 degrees Celsius to 1200 degrees Celsius.
And that this temperature is x.
This means that the minimum value of x is 700°C while maximum of x is 1200 °C
Let's find the average of the two temperature limits given:
x_avg = (700 + 1200)/2 =
x_avg = 1900/2
x_avg = 950 °C
Now let's find the distance between the average and either maximum or minimum.
d_avg = (1200 - 700)/2
d_avg = 500/2
d_avg = 250°C.
Now absolute value equation will be in the form of;
Ix - x_avgI ≤ d_avg
Thus;
Ix - 950°C I ≤ 250°C
The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12-month period.
Monthly High Temperatures
in Austin, Texas
113
109
105
(do) amesadwal
101
..
97
93
.
89
85
1 2 3 4 5 6 7 8 9 10 11 12
Month
Which function best models the data from Month 1
Month 9
y = 1.6 + 111
2.5790
Answer: y=2.5x+90
Step-by-step explanation:
idk
Answer: y =2.5x+90
Step-by-step explanation:
slop intercept form of: y-5=2(x+2)
Answer: y= 2x+9
have a good day!
Add.
(2x3+4x2+1)+(x3−x2−4)
Express the answer in standard form.
Enter your answer in the box.
Answer:
3x³ + 3x² - 3
Step-by-step explanation:
Step 1: Write expression
(2x³ + 4x² + 1) + (x³ - x² - 4)
Step 2: Combine like terms
3x³ + 3x² - 3
Find the measure of ZM
the answer is
In AKLM, the measure of ZM=90°
2. The units of density for a rectan-
gular piece of wood are
a. grams per milliliter.
b. cubic centimeters.
c. kilograms per liter.
d. grams per cubic centimeter.
Answer:
d. grams per cubic centimeter
Step-by-step explanation:
The unit for density is g/cm^3 because the formula for density is mass divided by volume. The standard unit for mass is grams, and volume is cm^3. So by dividing the two numbers, the unit becomes both units divided.
Use the bar model to add these fractions
Answer:
Not Sure how to solve this...
Step-by-step explanation:
BUT
5 minutes is equal to [tex]\frac{1}{12}[/tex]
10 minutes is equal to [tex]\frac{1}{6}[/tex]
15 minutes is equal to [tex]\frac{1}{4}[/tex]
30 minutes is equal to [tex]\frac{1}{2}[/tex]
what is 8+[4+(-9)] ?
Answer:
Positive 3
Step-by-step explanation:
you have to add 4 and -9 first and you get -5 then you add that to positive 8 and get 3
On an adventure quest,the hero fights werewolves and vampires in a ratio of 2:5. If he fights 28 werewolves in total, how many vampires does he fight?
Answer:
70
Step-by-step explanation:
im pretty sure (i did it in my head) if its wrong im sorry :/
70 because you cut down the number by half to 14 and multiply by 5 to get 70.
What is the value of y?
2 StartRoot 3 EndRoot units
4 units
4 StartRoot 3 EndRoot units
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
i believe it's B on edge! hope this helps!!~ ( ´ ▽ ` )ノ
a polynomial function with leading term 8x ^9 has a degree of what?
Answer:
9
Step-by-step explanation:
hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.
The degree of the given polynomial is 9
What is a polynomial expression?Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11
Given here; a polynomial function with leading term 8x⁹
Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading term 8x⁹ is 9
Hence, The degree of the given polynomial is 9
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Suppose you deposit $275.00 in your savings account on December 31. Your bank pays 3 percent annual interest on savings accounts. If you do not deposit any more money into the account, what would be the balance on December 31 of the following year?
Answer:
275 * 0.03 = accrued interest
accrued interest + initial deposit = total after one year
Step-by-step explanation:
What is the equation of the line that passes through the point (7,2) and has a slope of 1
Answer:
y=x-5
Step-by-step explanation:
For this, use point-slope formula, which is (y-y1)=k(x-x1), in which k is slope.
Now, substitute in your values. (y-2)=1(x-7)
Then, since you got y-2=x-7, add 2 to both sides.
You get y=x-5
y = x +5 is the equation of the line that passes through the point (7,2) and has a slope of 1.
What is an equation of a line?The equation of a straight line is y=mx+c where m is the gradient and c is the height at which the line crosses the y -axis, also known as the y-intercept. There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.
given, a line that passes through the point (7,2) and has a slope of 1
Since the Slope of the line = 1
From the slope-intercept form of the line
y = mx + c
thus, the Equation of the line
y = 1 * x + c
y = x + c
Since this line passes through coordinates (7, 2 ) this point will satisfy the equation
7 = 2 + c
c = 5
hence, the equation of a line
y = x +5
therefore, the equation of the line that passes through the point (7,2) and has a slope of 1 is y = x +5.
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a square base that covers an area of 25 ft squared what is the length of one side of the tent?
can someone help me solve 1/4 : 2/3 =
Answer:
11/12
Step-by-step explanation:
hopefully ":" means add cause i have neve learned what that ment btw happy halloween❤
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson. Guitar lessons have a one-time fee of $36 plus $8 for each lesson. After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar
Given :
The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.
Guitar lessons have a one-time fee of $36 plus $8 for each lesson.
To Find :
After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.
Solution :
Mathematical expression of piano lesson :
[tex]P_1=26+10x[/tex]
Mathematical expression of guitar lesson :
[tex]P_2=36+8y[/tex]
( Here, x and y are number of lessons )
Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.
Now, given constraint :
[tex]P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5[/tex]
Hence, this is the required solution.
what is average of 3 and 5
Answer: 4
Step-by-step explanation: you add 5 and 3, then you divide by the number of numbers which is 2.
Answer:
Average =
Sum
Count
=
8
2
=
4
Step-by-step explanation:
Sum 8
Count 2
Median 4
Geometric Mean 3.8729833462074
Largest 5
Smallest 3
Range 2
Can someone plz help me asap!
Answer:
The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145
Step-by-step explanation:
Let the angle adjacent to ∠27° be x .
[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]
[tex]x = 180 - 27 \\ ∠x = 153°[/tex]
Let the angle opposite to ∠27° be y .
[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]
Let the angle adjacent to ∠y ( 27°) be w .
[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]
Let the angle opposite to ∠35° be p .
[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]
Let the angle adjacent to ∠35° be a .
[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]
Let the angle opposite to ∠35° be t .
[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]
Let the angle opposite to ∠145° be o .
[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]
Why does the range of this function include negative values? What is the significance of the point where the graph crosses the horizontal axis
Answer:
Because the graph does not include any negative values for the range, the range is only nonnegative real numbers. Cubic function f(x)- x^3.
Use the original price and the markdown to find the retail price.
Original price: $30; Markdown: 36%
The retail price is $_____
Please include work.
Answer:
83
Step-by-step explanation: you divide 30 and 36% and you will get 83 hope this helped
The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? The rectangle shown is enlarged such that each side is multiplied by the value of the width, 2x. Which expression represents the perimeter of the enlarged rectangle? A. 4x + 2y B. 8x^2 + 2y C. 4x^2+2xy D. 8x^2+4xy
Answer:
The answer is D. 8x^2+4xyStep-by-step explanation:
We know that the expression for the perimeter is given as
P=2l+2B
now given that the value of the width is =2x
length= 4x
and the breadth=y
P=4x+2y
let us multiply both the length and the width with 2x we have
P=2x(4x+2y)
P=8x^2+4xy
the answer is
D. 8x^2+4xy
Which of the following is most likely the next step in the series?
Answer:
I believe it C
Step-by-step explanation:
Brainliest ??
Answer:
C
Step-by-step explanation:
I'd say C because:
The colors alternate between blue and red, so the next color is going to be red.At first, a vertical line was taken out, next a horizontal line was taken out, so next would be a vertical line being taken out.It's all about patterns.
the two angles are supplementary if a=19x+3 and b= 21x +17 solve for x and find the measure of each angle
Answer:
x = 4
a = 79
b = 101
Step-by-step explanation:
Supplementary means equal to 180° after all angles are added together.
a=19x+3
b= 21x +17
(19x+3) + (21x +17) = 180
19x + 3 + 21x + 17 = 180
40x + 20 = 180
40x = 160
x = 4
a = 19(4)+3 = 79
b = 21(4) +17 = 101
12. Factor completely: 64x^3 + 729
Answer:
(4 x + 9) (16 x^2 - 36 x + 81)
Step-by-step explanation:
Factor the following:
64 x^3 + 729
64 x^3 + 729 = (4 x)^3 + 9^3:
(4 x)^3 + 9^3
Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):
(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)
4×9 = 36:
(4 x + 9) ((4 x)^2 - 36 x + 9^2)
Multiply each exponent in 4 x by 2:
(4 x + 9) (4^2 x^2 - 36 x + 9^2)
4^2 = 16:
(4 x + 9) (16 x^2 - 36 x + 9^2)
9^2 = 81:
Answer: (4 x + 9) (16 x^2 - 36 x + 81)
Answer:
(4x+9)(16x2−36x+81)
Step-by-step explanation:
Factor 64x3+729
64x3+729
=(4x+9)(16x2−36x+81)
Justified” is an option of paragraph formatting in a Word processor. Which of the following contain Justified option?
(1 Point)
Alignment
Orientation
Columns
Borders
Brian plans to spend between $35 and $60 on running shoes.
What is the inequality?
an angle measures 38 degrees more than the measure of its supplementary angle. what is the measure of each angle?
SCUBA diving set
Slope:
SCUBA diving set
y-intercept:
SCUBA diving set
Slope intercept form:
Answer:
Step-by-step explanation:
Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).
Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)
Snorkel, mask, and flippers Slope intercept form: y = 2x + 10
what is 4.5x 4.5 im in 6th grade
Answer:20
Step-by-step explanation:
Define Tyndall Effect.
Answer:
What’s the question?
Step-by-step explanation:
Answer:
The phenomenon by which the colloidal particles scatter light is called Tyndall effect. If light is passed through a colloid the light is scattered by the larger colloidal particles and the, beam becomes visible. This effect is called Tyndall effect.