Answer:
Step-by-step explanation:
death valey CA is 282 feet below sea levle. black mountain, KYis 750 feet above sea levle how many feet is black mountain from death valey
Answer:
\(Distance = 1032\ ft\)
Step-by-step explanation:
Given
\(CA = 282\ ft\) below sea level
\(KY = 750\ ft\) above sea level
Required
Determine the distance between them
The distance between them is calculated as thus:
\(Distance = KY - CA\)
Because CA is below sea level, it's value will be negated;
So, we have:
\(Distance = 750\ ft - (-282\ ft)\)
\(Distance = 750\ ft + 282\ ft\)
\(Distance = 1032\ ft\)
Hence, the distance between them is 1032 feet
How would you write the expression for
“9 less than a number?”
A) 9-n
B) n-9
If there are 80 calories in 2/3 of an apple, How many calories are in 6 apples?
Answer:
Around 570 to 560.
{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
If w represents the width of a rectangular dance floor, which situation CANnot be represented by a linear function of w?
Option C cannot be represented by a linear function of w.
Describe function?In mathematics, a function is a relation between two sets of values, where each input value from the first set (called the domain) corresponds to exactly one output value in the second set (called the range). The output value of a function is determined by its input value and any relevant rules or formulas.
Formally, a function can be defined as follows: Let X and Y be two non-empty sets. A function f from X to Y is a rule or formula that assigns to each element x in X a unique element y in Y, denoted by f(x), such that for any two elements x1 and x2 in X, if x1 = x2, then f(x1) = f(x2). The set X is called the domain of the function, and the set Y is called the codomain or range of the function.
Functions can be represented graphically, algebraically, or in tabular form. The graph of a function shows how the output value of the function varies with the input value, and can be used to visualize the behavior of the function. The algebraic representation of a function can be given by a formula or equation that expresses the output value in terms of the input value. A tabular representation of a function shows the input-output pairs in a table.
Functions are used in many areas of mathematics, science, engineering, and economics to model and describe relationships between variables. They are also used in practical applications, such as in computer programming, where they are used to define algorithms and data structures.
The situation that cannot be represented by a linear function of w is:
The area of the floor in square meters, if its length is 9 meters.
The reason for this is that the area of a rectangle is not a linear function of its width. It is a quadratic function of its width. Specifically, the area of a rectangle is given by:
A = lw
where A is the area, l is the length, and w is the width.
If the length is fixed at 9 meters, then the area of the rectangle is a quadratic function of the width:
A = 9w
Therefore, option C cannot be represented by a linear function of w.
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Which expression represents seven less than the product of thirteen times a number, and two squared?
(13x + 22) · 7
7(13x · 22)
7 + 13x + 22
7 + 13x · 22
(13x · 22) − 7
Seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
How to represent an expression?The expression says seven less than the product of thirteen times a number, and two squared.
Let
the number = x
Hence, the product of thirteen times a number, and two squared is as follows:
13(x)(2²)
Therefore, seven less than the product of thirteen times a number, and two squared is as follows;
(13x × 2²) - 7
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2 divided by the sum of 2 and a number
The given statement can be written as an algebraic expression as: 2/(x + 2).
What is an Algebraic Expression?A mathematical statement that expresses phrases or words using numbers, variables, and operation signs can be referred to as an algebraic expression.
How to Translate a Statement into an Algebraic Expression?To translates a given statement in to algebraic expression, we can use "x" as a variable to represent the unknown number in the given word problem.
For example, the number that is added to 2, in the above given scenario, can be represented as "x" in order to translate the given statement into an algebraic expression.
The word "sum" will be represented with the operation sign, "+". Therefore, "the sum of 2 and a number" will be translated as an algebraic expression as, (x + 2).
Therefore, the whole statement, "2 divided by the sum of 2 and a number" will then be expressed in algebraic expression as: 2/(x + 2).
In conclusion, the statement, "2 divided by the sum of 2 and a number", can be written as an algebraic expression as: 2/(x + 2).
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Problem Solving JJ jogged around the school in 14 hour. David. jogged the same distance in hour. How much longer did JJ take than David in hours? 3 J] jogged=11/4 David jogged= 5/6 ru
Problem Solving JJ jogged around the school in 14 hours. David jogged the same distance in an hour. How much longer did JJ take than David in hours?
3J] jogged=11/4 David jogged= 5/6 ru
___________________________________
JJ jogged around the school in 14 hours.
David jogged the same distance in an hour. JJ take than David
________________________________
Distance x = 1 (Unit )
rate
JJ 1 distance / 14 h
David 1 distance /1h
_______________________
The same distance
14 h - 1h = 13 h
_____________________
Answer
JJ took 13h more than David
Mr. Smith is purchasing 2.3 pounds of meat that cost $2.90 per pound. How much change should Mr. Smith receive if he gives the cashier $10?
Answer:
Multiply $2.90 x 2.3 lbs = $6.67
Then subtract $6.67 from $10.00 = $3.33
Answer:
Have the same question⇵
Step-by-step explanation:
Multiply 2.3 and 2.90
subtract from 10
= answer
Given: m = 1 2 and b = 4
The slope and y-intercept for a linear equation are given. Which graph matches this information?
A)
B)
C)
D)
Answer:
the answer is A im not sure tho
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.
DON'T SOLVE IT
I know the answer. I just need to know the TOPIC in geometry.
What is the topic???
Answer:
Triangles in Geometry
Step-by-step explanation:
Find the slope of a line with equation 4y + x = 8.
Answer:
m = -1/4
Step-by-step explanation:
4y + x = 8
Arrange the equation in a slope intercept form y = mx+b, where m is the slope
4y + x = 8, subtract x from both sides
4y = -x +8, divide both sides by 4
y = -x/4 + 8/4 , simplify
y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4
Answer:
m = -1/4
Step-by-step explanation:
4y + x = 8
Arrange the equation in a slope intercept form y = mx+b, where m is the slope
4y + x = 8, subtract x from both sides
4y = -x +8, divide both sides by 4
y = -x/4 + 8/4 , simplify
y = -x/4 + 2, compare this to the general form y=mx+b and we see that the slope m = -1/4
3. Daniel and his mom are working together to paint his bedroom The paint store is currently offering the following sales Item sale pricematte paint 7.56 4 pints for $7.56 Glossy Paint 2 gallons for $26.16 Paint Brushes 4 for $18 = 4.5 per Brish Calculate the unit rate of these items, and use that information to select all of the following statements that are correct. If necessary, round to the nearest penny. A) Daniel will spend $21.68 on matte paint if he buys 1 y gallons. B)Daniel will spend $19.62 on glossy paint if he buys 6 quarts. c) Daniel's total cost will be $24.12 if he buys 2 paint brushes and 1 gallon of matte paint.Daniel can buy 13 pints of glossy paint for $20.
Part 1
Find out the unit rates
Matte Paint
7.56/4=$1.89 per pint
Glossy Paint
26.16/2=$13.08 per gallon
Paint Brushes
18/4=$4.5 per brush
therefore
Verify each statement
option A
If he buys 1 1/2 gal on matte paints
1 1/2=1.5 gal
1.5*1.89=$2.84
statement A is not true
option B
Convert quart to gal
1 quart=0.25 gal
6 quarts=1.5 gal
1.5*13.08=$19.62
statement B is true
option C
2 paintbrush ------> 2*4.5=$9
1 gal matte paint
convert gal to pint
1 gal=8 pint
8*1.89=$15.12
so
15.12+9=$24.12
statement C is true
Option D
13 pints of glossy paint
$13.08 per gallon
1 gal =8 pint
13 pints=13/8 gal
(13/8)*13.08=$21.26
statement D is not true
therefore
the answer is options B and CIf Cp = Rs 660, Loss percent = 5% find Sp
Answer:
SP = 627 Rs
Step-by-step explanation:
Percentage loss is calculated as
\(\frac{CP-SP}{CP}\) , then
\(\frac{660-SP}{660}\) = 5% = 0.05 ( multiply both sides by 660 )
660 - SP = 33 ( subtract 660 from both sides )
- SP = - 627 ( multiply both sides by - 1 )
SP = 627 Rs
ALGEBRA 1 HW!! I WILL GIVE BRAINLYEST FOR ANSWERS! PLEASE HELP DUE SOON
The analysis of the number of runners, can be presented as follows;
a. The sequence is a geometric sequence
b. r(3) = 72, which indicates that the number of runners after the third week is 72
c. r(6)/r(5) = (2/3)
d. The recursive rule for r(w) is that the number of runners in a week is (2/3) × The number of passengers in the previous week
What is a sequence?A sequence is an ordered list of items.
The number of passengers currently in the running club = 243
The amount by which the number reduces each week = 2/3 the number in the previous week.
a. Therefore, the number of passengers each week can be presented as follows;
First week = 243
Second week = (2/3) × 243 = 162
Third week = (2/3)³ × 243
Therefore, the number of runners in the nth week is; an= (2/3)ⁿ × 243, which is a geometric sequence
b. The number of runners in the wth week, r(w) = 2/3)^w × 243,
Therefore; r(3) = (2/3)³ × 243 = 72
The meaning of the value is that the number of runners in the third week, r(3) = 72 runners
c. r(6))/(r(5)) can be obtained as follows;
r(6) = (2/3)^6 × 243
r(5) = (2/3)^5 × 243
r(6)/r(5) = ((2/3)^6 × 243)/( (2/3)^5 × 243) = (2/3)
d. The recursive formula can be obtained as follows;
The number of passengers in a specified week = (2/3) × The number of passengers in the previous week
r(w + 1) = (2/3)^w × 243
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A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.
a. π/6 - √3/4
b. √3/4 - π/12
c. √3/4 - π/24
d. √3/4 + π/24
e. √3/4 + π/12
The required area of the lune is (D) √3/4 - π/24.
What is the area?The measurement that expresses the size of a region on a flat or curved surface is termed area.
Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
So,
The lune's area is equal to the smaller semicircle's area minus the segment's area.
The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.
Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.
Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)
Area of the lune = π/8 - π/6 + √3/4
= √3/4 - π/24
Therefore, the required area of the lune is (D) √3/4 - π/24.
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Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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Question 9 of 10
What is the product of the following numbers? Use a scientific calculator to
find the answer.
5.56 x 104 x 2.43 x 106
A. 2.23 x 10-2
OB. 1.97 x 10²1
C. 1.35 × 1020
OD. 1.35 x 10¹1
What is the solution to the equation StartFraction m Over m + 4 EndFraction + StartFraction 4 Over 4 minus m EndFraction = StartFraction m squared Over m squared minus 16 EndFraction?
Answer: m = -2.
The given equation is: \(\frac{m}{m+4}+\frac{4}{4-m}=\frac{m^{2}}{m^{2}-16}\).
The LCM of the denominators = \(m^{2}-16=(m+4)(m-4)\).
We multiply both sides by LCM.
\(\left(m+4\right)\left(m-4\right)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=\left(m+4\right)\left(m-4\right)\cdot\frac{m^{2}}{m^{2}-16}\)
\(m\left(m-4\right)-4\left(m+4\right)=m^{2}\)
\(m^{2}-4m-4m-16=m^{2}\)
\(8m=-16\\m=-2\)
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Answer:
M=-2 B
Step-by-step explanation:
trust me i took the quiz
Barry and Jess are going to the fair. Barry has $25 to spend. Jess has
7/10 the amount of money Barry has. How much money Jess have to
spend at the fair?
Answer:
Step-by-step explanation:
First, Multiply 25 dollars by 7/10 and you get your answer. Then, you simplify it and then you get your answer!
How are land parcels valued?
Which of the following numbers is the sum of 82.545 and 128.580 written with the correct number of significant digits? A. 211.1225 B. 211.125 C. 211.13 D. 211.130
When we add 82.545 and 128.580 we get a total of 211.125, now the closest number to the answer is B. 211.125Addition of Numbers
Mathematical OperationsGiven Data
Number one = 82.545Number two = 128.580Apart from addition of numbers there are other mathematical operations we can perform on integer numbers like in our example above
they are
SubtractionMultiplicationDivisionModulus ---This will return the remainder of the numbers when dividedTotal Number = 82.545 + 128.580Total Number = 211.125
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Answer:
B
Step-by-step explanation:
Took the test, have a good day.
Solve for angles x and y in the triangle below. Round your angle to the nearest whole degree.
Solve for both x and y
\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)
Make sure your calculator is in Degree mode.
One quart is approximately equal to 0.95 liter. To convert quarts to liters, which operation should you use? Why?
A. addition; there is about 0.95 liter in 1 quart. Add when converting smaller units to larger units.
B. Division; there is about 0.95 liter in 1 quart. Divide when converting smaller units to larger units.
C. Multiplication; there is about 0.95 liter in 1 quart. Multiply when converting larger units to smaller units.
D. Subtraction; there is about 0.95 liter in 1 quart. Subtract when converting larger units to smaller units.
The operation you would use is multiplication; there is about 0.95 liter in 1 quart. Multiply when converting larger units to smaller units. (option C).
What is multiplication?Multiplication is the operation that is used to determine the product of two or more numbers. The sign that is used to denote multiplication is ×. Multiplication is one of the operations in maths. Other operations in mathematics ae addition, division and subtraction.
1 quart = 0.95 liters
In order to convert 100 quart to liters, multiply 100 by 0.95
0.95 x 100 = 95 liters
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ab+d=5c solve for b.
Answer:
(5c-d)/a = b
Step-by-step explanation:
First you would bring the d to the right side of the equation
ab=5c -d
Then, you will divide the right side of the equation by a to find the value of b
(5c-d)/a =b
Hope this helps!!!
You randomly choose a marble from a bag that contains 10 black marbles
8 red marbles, 4 white marbles, and 6 blue marbles. Match each marble
with the correct probability of selection.
Answer: 10/20, 8/20, 4/20, 6/20
Step-by-step explanation:
Black: 10/20
Red: 8/20
White: 4/20
Blue: 6/20
There are 20 marbles in total the amount of colored marbles is the numerator and the denominator is the total.
Have a lovely day!!
determine the interval(s) for which the function shown below is decreasing. Need help on understanding this; thanks in advance!
Answer:
(-∞, -5) ∪ (-2, 2)
Step-by-step explanation:
A function is "decreasing" where its slope is negative. That is, the curve goes downward to the right. The parts of the curve with negative slope are marked in the attachment with blue arrows.
The intervals for which the function is decreasing are bounded by either of (a) the domain bounds, or (b) critical points, where the slope is either zero or undefined.
Here, the slope is negative for -∞ < x < -5, and for -2 < x < 2. Note that the "or equal to" case is excluded from these intervals, because the slope is actually 0 at the critical points; it is not negative.
In interval notation, these open intervals are written ...
(-∞, -5) ∪ (-2, 2)
_____
Additional comment
The function is "increasing" where it has positive slope. The other two intervals of this graph are where the function is increasing:
(-5, -2) ∪ (2, ∞)
12. Simplify:
5x + 3y - 2y + 3xy + 5xy - 10x
Hey there!
\(\textsf{5x + 3y - 2y + 3xy + 5xy - 10x}\)
\(\textsf{Combine like terms}\)
\(\textsf{(5x - 10x) + (3y - 2y) + (3xy + 5xy)}\\\mathsf{5x - 10x = -5x}\\\mathsf{3y - 2y = 1y}\\\mathsf{3xy + 5xy= 8xy}\\\boxed{\boxed{\mathsf{Answer: \bf{8xy-5x+y}}}}\huge\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{LoveYourselfFirst:)}\)
7= x + 6 solve for x
Fred is standing at a point looking north. He walks on a bearing 056° for 9.8km before stopping. He then walks an additional 3.5 km on a bearing of 112° before stopping to rest. (a) Find out how far he is away from his start point using sine or cosine rule (b) Determine the area of the enclosed shape (c) Draw neat labeled scale diagram of the same
The area of the enclosed shape is about 14.47 km^2.
We are given that;
056° for 9.8km and 3.5 km on a bearing of 112°
Now,
We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:
y = 180° - 56° - 112°
y = 12°
Now we can use the cosine rule to find z:
z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)
z^2 ≈ 101.87
z ≈ 10.09
Therefore, Fred is about 10.09 km away from his start point.
To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:
sin(56°) = x/9.8
x = 9.8 sin(56°)
x ≈ 8.27
The area of a triangle is given by half the base times the height, so:
A = (1/2)(3.5)(8.27)
A ≈ 14.47
Therefore, by trigonometric ratios the answer will be 14.47 km^2.
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