The percentage change in temperature is approximately: -32.5%.
What is Percentage Change?Percentage change = (final value - initial value)/initial value × 100.
Given the following:
Initial temperature = 77 degreesFinal temperature = 52 degreesPercentage change = (52 - 77)/77 × 100
Percentage change ≈ -32.5%.
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5.True or False: The ordered pair (0, 3) is a solution to the equationy = -5x + 3.
You have the following equation:
y = -5x + 3
in order to determine if the point (0,3) is solution of the previous equation, replace the values of x = 0 and y = 3, and verify if the equation is consistent, as follow:
3 = -5(0) + 3
3 = 3
the equation is consistent for the given point, then, the point (0,3) is a olution of the given equation
Lori puts up a sign for her business 500 meters from the main entrance. She once read that it takes the average adult 6 minutes to walk 500 meters. She decides to test this by having 200 adults walk the 500 meters from her sign to her store. Which of the following is the sample in Lori's experiment?
Step-by-step explanation:
She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.
Answer: The 200 adults
Step-by-step explanation:
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.
In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.
Order-Preserving Function:
A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.
Increasing Function:
If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).
Isomorphism:
A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:
a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).
b. f is onto (surjective): Every element in Q has a pre-image in P.
When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.
Automorphism:
An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.
These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.
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Fill 4x4 squares with 1-16 so that the sum of each row and column is a prime number
What is
Tan x% =4 over 9
The value of x in tan x = 4 over 9 is x = 23.9
How to determine the value of x?The trigonometric equation is given as
tan x = 4 over 9
Rewrite the above equation properly
So, we have
tan(x) = 4/9
Evaluate the quotient
So, we have
tan(x) = 0.4444
Take the arc tan of both sides
x = 23.9
Hence, the value of x in tan x = 4 over 9 is x = 23.9
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brainliest to whoever answers
Factor 24m-12p+72 to identify the equivalent expressions.
Choose 2 answers:
A: 6(4m+2p+12)
B: 2(12m-6p+36)
C: 12(2m-p+6)
D: 24(m-12p+3)
ANSWER ASAP PLEASE ITS DUE IN THE NEXT HOUR PLEASE!!!
The equivalent expressions are B: 2(12m-6p+36) and (c): 12(2m-p+6)
How to factor the expressionFrom the question, we have the following parameters that can be used in our computation:
24m-12p+72
Factor out 2 from the expression
So, we have
2(12m-6p+36)
This represents the option (b)
Factor out 12 from the expression
So, we have
12(2m-p+6)
This represents the option (c)
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HELP ME OUT PLEASE!
What is the equation of this line?
A poster has a thickness of 1.2 x 10-2 inches.
If two posters are glued together, find the
combined thickness of the posters.
Answer:
2.4 × 10^-2
Step-by-step explanation:
You can do a sort of "undistributive" property and factor out the 10^-2 and then add the 1.2+1.2
1.2×10^-2 + 1.2×10^-2
= 10^-2(1.2 + 1.2)
= 10^-2(2.4)
= 2.4 × 10^-2
OR you can change from scientific notation to standard and add them and change back to sci. not. See image.
Is it - or + 60 plz help me
Complete the following
Answer:
answer for this is 12 and for b is 5
Answer:
12/20 I think since you would multiply 5 by 4 so you would multiply 3 by 4. Hope this helps!☺️
2. Evaluate the expression:
(5w^2+
+2) = (3p) for W= 4 and p = 3
At age 77, Eastman suffered from chronic pain due to a spinal condition. On March 14, 1932, after a reportedly jovial meeting with friends, he excused himself to write a brief letter before he 4535
Show all you work plzzz
Answer:
\(u=-7\)
Step-by-step explanation:
\(-2u-5=9\)
Add 5 to both sides:
\(-2u-5+5=9+5\)
\(-2u=14\)
Divide both sides by -2:
\(\frac{-2u}{-2}=\frac{14}{-2}\)
\(u=-7\)
Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations to solve the length of the room is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
c) ( y + 25 ) ( y - 30 ) = 0
Given data ,
Let the area of a rectangular room is 750 square feet.
Let the width of the room is 5 feet less than the length of the room
So , on simplifying , we get
w = l - 5
Area of rectangle = length x width
And , A = l x w
A = l ( l - 5 )
750 = y ( y - 5 )
Therefore , the equation is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
On simplifying the quadratic equation , we get
c) ( y + 25 ) ( y - 30 ) = 0
Hence , the length of the rectangular room is solved
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The complete question is attached below :
Which equations can be used to solve for y, the length of the room? Select three options.
a) y(y + 5) = 750
b) y² – 5y = 750
c) 750 – y(y – 5) = 0
d) y(y – 5) + 750 = 0
e) (y + 25)(y – 30) = 0
*
Find - 5/6 divided by 1/2. Write in simplest form.
Answer:
1⅔
Step-by-step explanation:
multiply by reciprocal
The ratio of girls to boys in a class is 5 to 4 if there are 20 boys then how many total students are in class
answer:
36
explanation to answer:
if C=(a,b,x,y) and D=(m,n,o,p) then c union d is
Step-by-step explanation:
here,
C={ a,b,x,y}
D ={ m,n,o,p}
now,
C union D ={a,b,x,y} union {m,n,o,p}
= {a,b,x,y,m,n,o,p}
therefore C union D ={ a,b,x,y,m,n,o,p}
hope u get it...
The sum of two consecutive even numbers is 38. Find the bigger number.
Answer:
20
Step-by-step explanation:
18 plus 20 equals 38
20 is bigger than 18
1) Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later, what is the total amount that Cathy ends up repaying?
2) Ruth borrows $440 at 0.6% simple interest per month. When Ruth pays the loan back 4 years later, how much interest does Ruth pay?
3) Fred borrows $2710 at 3.8% simple interest per month. When Fred pays the loan back 3 months later, what is the total amount that Fred ends up repaying?
4) Ralph borrows $360 at 0.7% simple interest per month. When Ralph pays the loan back 3 months later, how much interest does Ralph pay?
5) Deb borrows $3190 at 2.9% simple interest per month. When Deb pays the loan back 5 years later, what is the total amount that Deb ends up repaying?
6) Ian borrows $3580 at 31% simple interest per year. When Ian pays the loan back 7 years later, how much interest does Ian pay?
7) Zach borrows $1910 at 2.6% simple interest per month. When Zach pays the loan back 3 years later, how much interest does Zach pay?
8) Craig borrows $1000 at 9% simple interest per year. When Craig pays the loan back 11 years later, what is the total amount that Craig ends up repaying?
9) Larry borrows $1300 at 5% simple interest per month. When Larry pays the loan back 3 years later, what is the total amount that Larry ends up repaying?
10) Fred borrows $40 at 0.8% simple interest per month. When Fred pays the loan back 2 years later, how much interest does Fred pay?
1. The total amount Cathy ends up repaying for borrowing $3,280 at 0.3% simple interest per month for 9 years is $4,342.72.
2. The interest that Ruth pays for borrowing $440 at 0.6% simple interest per month after 4 years is $126.72.
3. Fred ends up repaying $3,018.94 for borrowing $2,710 at 3.8% simple interest per month after 3 months.
4. The interest that Ralph pays for borrowing $360 at 0.7% simple interest per month for 3 months is $7.56.
5. Deb ends up repaying $8,740.60 for borrowing $3,190 at 2.9% simple interest per month for 5 years.
6. The interest that Ian pays for borrowing $3,580 at 31% simple interest per year for 7 years is $7,768.6.
7. Zach's interest for borrowing $1,910 at 2.6% simple interest per month for 3 years is $1,787.76.
8. Craig ends up repaying $1,990 for borrowing $1,000 at 9% simple interest per year for 11 years.
9. Larry ends up repaying $3,640 for borrowing $1,300 at 5% simple interest per month for 3 years.
10. The interest that Fred pays for borrowing $40 at 0.8% simple interest per month for 2 years is $7.68.
How the interest and repayment amounts are determined:1. Cathy:Principal = $3,280
Simple interest per month = 0.3%
Simple interest per year = 3.6% (0.3% x 12)
Loan period = 9 years
The amount repaid = $4,342.72 [$3,280 + ($3,280 x 3.6% x 9)]
2. Ruth:Principal = $440
Simple interest per month = 0.6%
Simple interest per year = 7.2% (0.6 x 12)
Loan period = 4 years
Interest = $126.72 (440 x 7.2% x 4)
3. Fred:Principal = $2,710
Simple interest per month = 3.8%
Loan period = 3 months
The amount repaid = $3,018.94 [$2,710 +($2,710 x 3.8% x 3)]
4. Ralph:Principal = $360
Simple interest per month = 0.7%
Loan period = 3 months
Interest = $7.56 ($360 x 0.7% x 3)
5. Deb:Principal = $3,190
Simple interest per month = 2.9%
Simple interest per year = 34.8% (2.9% x 12)
Loan period = 5 years
The amount repaid = $8,740.60 [$3,190 + ($3,190 x 34.8% x 5)]
6. Ian:Principal = $3,580
Simple interest per year = 31%
Loan period = 7 years
Interest = $7,768.60 ($3,580 x 31% x 7)
7. Zach:Principal = $1,910
Simple interest per month = 2.6%
Simple interest per year = 31.2% (2.6% x 12)
Loan period = 3 years
Interest = $1,787.76 (1,910 x 31.2% x 3)
8. Craig:Principal = $1,000
Simple interest per year = 9%
Loan period = 11 years
The amount repaid = $1,990 [$1,000 + ($1,000 x 9% x 11)]
9. Larry:Principal = $1,300
Simple interest per month = 5%
Simple interest per year = 60% (5% x 12)
Loan period = 3 years
The amount repaid = $3,640 [$1,300 + ($1,300 x 60% x 3)]
10. Fred:Principal = $40
Simple interest per month = 0.8%
Simple interest per year = 9.6% (0.8% x 12)
Loan period = 3 years
Interest = $7.68 ($40 x 9.6% x 2)
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The following data represent the number of loaves of bread, in thousands, which were sold by various grocery stores in the month of June. Construct a dot plot for the given data.
4, 8, 11, 10, 10, 4, 5, 13,
6, 13, 8, 14, 8, 1, 10, 9
Select any value to see the controls for increasing or decreasing the frequency.
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Answer:
Following are the solution to these question:
Step-by-step explanation:
The frequency of the data value will be the same in dot plots for the number of dots. The frequency table is following:
\(X \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Frequency \\\\1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\\\\5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\9\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\11\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\\)
\(12\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0\\\\13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\\\\14\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\\)
In the context of this problem, which solutions to the polynomial equation can you eliminate because they do not make sense? x = –8 x = –4 x = 6
In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.
What is the solution to the equation?The given polynomial equation can be expressed as ;
x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6
We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation
x = -8
[(-8)³ + 6(-8)² - 40(-8)]
= 192
[-512 + 384 + 320]
= 192
x = -4,
[(-4)³ + 6(-4)² - 40(-4)]
[-64 + 96 + 160 ]
= 192
x = 6
[(6)³ + 6(6)² - 40(6) ]
216 + 216 - 240
= 192
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Answer:
Step-by-step explanation:
A,B
x = –8
x = –4
During a huge snowstorm in the White Mountains last year, it
snowed 60.5 cm in one day. Use the facts to find how much
this is in meters.
X
3
Conversion facts for length
1000 millimeters (mm) - 1 meter (m)
100 centimeters (cm) - 1 meter (m)
10 decimeters (dm) 1 meter (m)
1 dekameter (dam) -10 meters (m)
1 hectometer (hm) 100 meters (m)
1 kilometer (km)
1000 meters (m)
By using the facts given, 60.5 cm is 0.605 m or 0.605 meters.
Given: Convert 60.5 cm to meters
And the facts are as follows:
1000 milli-meters (mm) - 1 meter (m)
100 centimeters (cm) - 1 meter (m)
10 decimeters (dm) - 1 meter (m)
1 deka-meter (dam) -10 meters (m)
1 hectometer (hm) - 100 meters (m)
1 kilometer (km) - 1000 meters (m)
What is the length?
Length is the measurement of something from one point to another point.
Length can also be the distance between two points.
The shortest length between two times is known as displacement.
There are different ways to measure the length between two points or objects.
The SI unit of length is metered (m)
Also, kilometers or miles are used to measure large distances.
How to convert from centimeters (cm) to meters (m)?
1 meter or 1 m is equivalent to 100 centimeters or 100 cm. So let us apply the unitary method.
100 cm = 1 m
So 1 cm = 1 / 100 m
Therefore, x cm will be x / 100 m
Let’s solve the problem.
Given 60.5 cm to show in meters
So 100 cm = 1 m
1 cm = 1 / 100 m
60.5 cm = 60.5 / 100 m
60.5 cm = 0.605 m
Hence by using the facts given 60.5 cm is 0.605 m or 0.605 meters.
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need help again please i’m sorry...
Answer:
The slope is -1/5
Step-by-step explanation:
y = mx +b is in slope intercept form
m is the slope and b is the y intercept
y = -1/5x -1
The slope is -1/5 and the y intercept is -1
Answer:
Step-by-step explanation:
The slope is -1/5
Write an equation of the line that passes through (0, -1) and is perpendicular to the line y = 1/9x + 2
An equation of the perpendicular line is y =
The equation of the perpendicular line passing through (0, -1) is y = -9x - 1.
To find the equation of a line that is perpendicular to the given line y = (1/9)x + 2 and passes through the point (0, -1), we can use the fact that perpendicular lines have slopes that are negative reciprocals of each other.
The given line has a slope of 1/9. To find the slope of the perpendicular line, we take the negative reciprocal of 1/9, which is -9.
Using the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept, we can substitute the slope and the coordinates of the given point (0, -1) into the equation.
y = -9x + b
Since the line passes through the point (0, -1), we can substitute the x-coordinate as 0 and the y-coordinate as -1 into the equation:
-1 = -9(0) + b
-1 = b
Therefore, the y-intercept (b) of the perpendicular line is -1.
Putting it all together, the equation of the line that passes through (0, -1) and is perpendicular to y = (1/9)x + 2 is:
y = -9x - 1
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Put 1.09, 1.0, 1.9, 1.19, 1.1 on a number line in order?
Answer:
1.0, 1.09, 1.1, 1.19, 1.9
Step-by-step explanation:
Basic ordering of decimals
For each equation in Exercises 2-4, fill in the blank to form an identity.
2. –5x + 9 = 9
3. + 14n = 14n+16
4. -18 =-5-k - 13
In order to form an identity, we will add a value or expression that will make both sides equal. Linear equations are equations that has a leading degree of 1.
Solving linear equations:In order to form an identity, we will add a value or expression that will make both sides equal. Solving the provided linear equations, we have:
-5x+9=9-5x
16+14n=14n+16
-k-18=-5-k-13S
Identities for linear equationsLinear equations are equations that have a leading degree of 1. Given the equations below;
–5x + 9 = 9
In order to form an identity, we will add a value or expression that will make both sides equal. For the expression,
–5x + 9 = 9
we will subtract 5x from the RHS (Right-hand side) to obtain:
-5x + 9 = 9 - 5x
For the expressions below, we will add 16 to the left-hand side to have:
16 + 14n = 14n + 16
For the expression,
-18 = -5 - k - 13
We will subtract k from the left-hand side to obtain;
-k-18 = -5-k-13
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Can someone help me with this please
Answer:
The answer is B.
Step-by-step explanation:
When you multiply 32 with 225, you get 7200.
You then divide 7200 with 100, and get 72.
32 percent of 225 is 72.
Question 6
What is the missing value of the following synthetic division?
Answer:
Hello!
16
Step-by-step explanation:
Because
-5+16=11
6. A Civil War cannon is placed at the base of a hill. The cannon is fired at an angle toward the hill. The path of the cannon ball is parabolic and can be represented by y=-0.04x2 + 4x + 1, where y represents the height of the ball in meters and x represents the horizontal distance of the ball from the cannon. The incline of the hill can be represented by the equation y = 0.8125x. How far will the cannon ball have moved horizontally from the cannon when it hits the hill?
Answer: 80
Step-by-step explanation:
Following are the solution to the given question:
Its canon is placed on the floor, as we knew from the very first part. So, for Canon, \(y = 0\). Consider the origin, which is located at the bottom of a hill. So, to find the canon's x value, we must solve the quadratic formula: \(-0.04x^2 + 4x + 1 = 0\) , which has only one negative solution,\(0.25.\) We know that the x value cannot be positive as this would suggest that the cannon is located inside of the hill. This hill's equation is\(y = 0.8125x\) , and we understand that now the cannonball will collide with it at the junction of the hill line and its hyperbolic path. So, when the formulas are combined, we get\(\to 0.8125x =-0.04x2 + 4x + 1\\\\\to 0.04x^2 - 3.1875 - 1 = 0\\\\\)
It has the only positive root as \(80\). As a result, the y value is \(0.8125\times 80 = 65\)The horizontal distance will be the x value + the \(0.25 = 80.25\)Its horizontal distance = x value+\(0.25= 80+0.25 = 80.25\)Learn more:
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Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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A tree is standing next to a 80 foot high building. At the same time of day, the tree has a 36 foot shadow, while the building has a 32 foot shadow. How tall is the tree rounded to the nearest foot?
A: 80 feet
B: 72 feet
C: 90 feet
D: 25 feet
Answer:
A, 80
Step-by-step explanation: