The true statement of the equation 4+-2=5 is false
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
4+-2=5
To determine the trie statement, we evaluate the expression 4 + (-2)
Using the above as a guide, we have the following:
The sum of 4 and -2 is:
4 + (-2) = 2
So, we have
2 = 5
The above is not true
Hence, the statement "4 + (-2) = 5" is false.
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Solve the problem using your graphing calculator. Round all parameter values to the nearest hundredth. Gracie keeps track of her energy bill during the winter months. She recorded her results in the following table: Mean Temperature (°F) Electricity Bill ($) 16 143 19 164 26 141 36 118 18 172 47 50 34 121 15 275 17 250 41 75 43 211 What is the value of the correlation coefficient?
The mean temperature increases, the electricity bill decreases.
What is the scatter plots?
A scatter plot is a type of graph that is used to display the relationship between two continuous variables.
To find the correlation coefficient, we first need to plot the data points on a scatter plot. We can use a graphing calculator to do this.
Here are the steps:
Press the STAT button on your calculator.Press the EDIT button to enter the data into lists.Enter the Mean Temperature values into L1 and the Electricity Bill values into L2.Press the STAT button again, then select CALC.Choose option 4: LinReg (ax+b).Enter L1 as the X List and L2 as the Y List.Make sure the Freq setting is set to 1.Press ENTER to calculate.The calculator will display the equation of the line of best fit, as well as the correlation coefficient (r).
Using these steps, we get a correlation coefficient of approximately -0.83. Rounded to the nearest hundredth, the correlation coefficient is -0.83.
This negative correlation coefficient indicates a strong negative relationship between mean temperature and electricity bill.
Hence, the mean temperature increases, the electricity bill decreases.
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Please help me solve !!!!
Answer:
length of rectangular prism: 9 feet
width of rectangular prism: 9 feet
Step-by-step explanation:
volume= length x width x height
567/7=81
Since 81 cubic feet squared is the area of the base; the square bottom, you will need to find the square root of 81 which is 9 since 9 times 9 equals 81.
Help please and please explain how to solve this
how to solve this?
given
[tex] \frac{4}{25} = 0.16[/tex]
what is
[tex] \frac{21}{25} [/tex]
as a decimal
Answer:
= 0.375
Step-by-step explanation:
then 3/8 to it decimal fraction
[tex] \frac{3}{8} \\ = 0.375[/tex]
what is the difference in lengths of tthe two pencils?
Answer:
depends
Step-by-step explanation:
?
I need help its due today
Answer: the image didnt send with this try reposting
Step-by-step explanation:
this is a little funny out of context tho, best of luck be upon you
Data were collected on the weight, in ounces, of puppies for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 5.05 +0.3d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.
What is the w-intercept of the line of fit and its meaning in terms of the scenario?
5.05; for each additional day after the puppy is born, its weight is predicted to increase by 5.05 ounces
5.05; a puppy who is just born is predicted to weigh 5.05 ounces
0.3; for each additional day after the puppy is born, its weight is predicted to increase by 0.3 ounces
0.3; a puppy who is just born is predicted to weight 0.3 ounces
The w-intercept of the line of fit is 5.05, and its meaning in terms of the scenario is that a puppy who is just born is predicted to weigh 5.05 ounces.
What are intercepts?The intercepts are defined as an intercept that is located at the axes of the graph, which are the location or coordinates from where the line crosses.
The w-intercept of the line of fit is the value of w when d = 0, which means the weight of a puppy when it is born.
According to the equation w = 5.05 + 0.3d, when d = 0, we have:
w = 5.05 + 0.3(0) = 5.05
Therefore, the w-intercept of the line of fit is 5.05,
This means in terms of the scenario that a puppy who is just born is predicted to weigh 5.05 ounces.
Hence, the correct answer is B.
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lkdmwkdpnmpwmxwdm,mw df
Answer:
hi
Step-by-step explanation:
thanks for the poi
Fatimah, an engineer at a typical dam and reservoir in an arid region, needs to come up with a solution to reduce the amount of water that the dam's reservoir loses every year. Because funds are tight, she must only address the largest source of water loss for the reservoir. Assuming that she is not technologically restricted and that she can feasibly undertake any of these actions, what action would best address the reservoir's water loss?
The most effective action that Fatimah can take to reduce the reservoir's amount of water loss is to install an evaporation control system.
What is amount?
Amount is a term used to refer to the quantity or magnitude of something, typically in financial or numerical terms. It can refer to physical items such as money, goods, or services, as well as abstract concepts such as time, distance, or energy. The amount of something is usually determined by measuring, counting, or weighing it.
Evaporation is a major source of water loss in arid regions, as the dry air quickly absorbs the moisture from the reservoir's surface. By installing an evaporation control system, Fatimah can reduce the amount of water lost to evaporation by using a variety of strategies. These strategies can include the use of an impermeable membrane to cover the reservoir's surface, the installation of windbreaks to reduce the speed of the wind over the water, and the use of chemicals to reduce the rate of evaporation. All of these strategies can be used to drastically reduce the amount of water lost to evaporation.
The installation of an evaporation control system can also be relatively inexpensive compared to other solutions. For instance, compared to installing a new water pump system or rerouting water to the reservoir, installing an evaporation control system can be done quickly and at a lower cost. This makes it a more suitable solution for Fatimah's limited budget.
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The expression 9(2)5x+109(2)5x+10 is rewritten as 9(h)x+29(h)x+2. What is the value of h?
The value οf h is apprοximately 2.83. Sο the answer is (A) 2.
What is the expοnential expressiοns?Expοnential expressiοns invοlve a base number raised tο a pοwer οr expοnent. The expοnent indicates hοw many times the base number shοuld be multiplied by itself.
We can simplify the expressiοn [tex]9(2)^{5x+10}[/tex] as follows:
[tex]9(2)^{5x+10} = 9(32)^{x+10}[/tex]
We can then rewrite this expression as [tex]9(h)^{x+2},[/tex] where h is a variable:
[tex]9(h)^{x+2} = 9(32)^{x+10}[/tex]
Comparing the expοnents of h and 32, we can see that h = [tex]2^{(5/2)}[/tex], or h = 2 * sqrt(2) = 2.83 (rounded to twο decimal places).
Hence, the value οf h is approximately 2.83. So the answer is (A) 2.
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A merry go round is 8 feet away from a wall and has a radius of 42
feet. From the starting point, the merry go round rotates 130°
counter clockwise. Use the diagram below to find the distance from
the wall at point A. Round your answer to the nearest hundreth.
130°
42 feet
start
Using law of cosine, the distance from the wall at point A is approximately 21.32 feet.
What is the distance from the wall at point AWe can use the law of cosines to find the distance from the wall at point A. Let's call this distance d.
In the triangle formed by the center of the merry-go-round, point A, and the point where the merry-go-round touches the wall (let's call this point B), we know that:
Angle AOB (the central angle formed by the rotation of 130 degrees) is 130 degrees.Side OA (the radius of the merry-go-round) is 42 feet.Side AB (the distance we want to find) is d + 8 feet (since the merry-go-round is 8 feet away from the wall).Side OB (the distance from the center of the merry-go-round to the wall) is 8 feet.Using the law of cosines, we have:
(8)^2 = (42)^2 + (d + 8)^2 - 2(42)(d + 8)cos(130)
Simplifying and solving for d, we get:
d = sqrt[ (8)^2 - (42)^2 cos^2(130) ] - 8
Plugging in the values, we get:
d ≈ 21.32 feet
Therefore, the distance from the wall at point A is approximately 21.32 feet.
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What would the value of x be?
Hence the value of x from the given diagram is 4.5
The triangular altitude theoremThe relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem, which is a consequence of elementary geometry.
From the diagram shown:
6/8 = x/6
Cross multiply
6*6 = 8x
36 = 8x
x = 36/8
x = 4.5
Hence the value of x from the diagram is 4.5
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The area of a circle is 367pie ft².
What is the diameter of the circle?
Enter your answer in the box below.
mean is 75 beats per min . s/d is 12.5 if 16 female adults randomly selected find the probability that they have pulse rates with mean less than 78 beats per min
The value of probability that they have pulse rates with mean less than 78 beats per min is,
⇒ 0.5948
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one
Given that;
Mean is 75 beats per min.
And, Standard deviation is, 12.5
Hence, We get;
z = (78 - 75) / 12.5
z = 3/12.5
z = 0.24
Hence, The probability is, 0.5948
Thus, The value of probability that they have pulse rates with mean less than 78 beats per min is,
⇒ 0.5948
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4. The table shows the number of votes
of 120 students for their choice of field
trip. Match the field trip with the
measure of each section in a circle
graph used to display the data.
Aquarium
Science museum
Botanical gardens
Planetarium
Mus Malaha
54°
00
0
0
72°
00
0
0
90°
0
0
0
0
Field Trip
Aquarium
Science museum
Botanical gardens
Planetarium
144°
□
0
U
Number of Votes
30
48
18
24
The sectors of the circle graph is solved and the field trip with the measure of section is
Aquarium = 90°
Science Museum = 144°
Botanical Gardens = 54°
Planetarium = 72°
What is the Area of the Sector?In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
Given data ,
Let the area occupied by the circle be represented as A
Now , the values of A are
Let the field trip be represented as y
Let the number of votes be represented as x
y = { Aquarium , Science Museum , Botanical Gardens , Planetarium }
x = { 30 , 48 , 18 , 24 }
Now , the total sector angle occupied by field trip is T = 120°
x₁ = ( 30/120 ) x 360
x₁ = ( 1/4 ) x 360
x₁ = 90°
when x₂ = 48
x₂ = ( 48/120 ) x 360
x₂ = ( 0.4 ) x 360
x₂ = 144°
when x₃ = 18
x₃ = ( 18/120 ) x 360
x₃ = ( 0.15 ) x 360
x₃ = 54°
when x₄ = 18
x₄ = ( 24/120 ) x 360
x₄ = ( 0.2 ) x 360
x₄ = 72°
Hence , the measures of the section of circle is solved
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How do I evaluate the limit?
In answering the question above, the solution is As a result, when x gets function closer to infinity, the function's limit is equal to 0.
what is function?Mathematicians investigate the relationships between numbers, equations, and related structures, as well as the locations of forms and possible placements for these items. A set of inputs and their corresponding outputs are referred to as a "function" in this context. If each input results in a single, unique output, the relationship between the inputs and outputs is known as a function. Each function has its own domain, codomain, or scope. A common way to denote functions is with the letter f. (x). is an x for entry. One-to-one capabilities, so multiple capabilities, in capabilities, and on functions are the four main categories of accessible functions.
The idea of dominating words can be used to solve this constraint. We see that the denominator x2+8 grows significantly greater than the numerator x-6 as x goes to infinity, therefore we may disregard the smaller component in the numerator and denominator.
As a result, the phrase may be simplified as follows:
Limit x (x - 6) / (x2 + 8) goes to infinity
x / (x2) limit x approaches to infinity
= limit x approaches to infinity 1 / limit x
= 0
As a result, when x gets closer to infinity, the function's limit is equal to 0.
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Write an equation to find p, the number of pounds of food that an adult manatee can eat in d days?
Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.
Here,
Let's assume that an adult manatee eats "r" pounds of food per day on average. Then, the number of pounds of food that an adult manatee can eat in "d" days can be represented by the equation: p = r x d
Here, "p" represents the number of pounds of food, "r" represents the average amount of food consumed per day, and "d" represents the number of days. So, if we know the average amount of food consumed by an adult manatee per day, we can use this equation to calculate how much food it will eat in any given number of days.
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Which equation is written in slope-intercept form?
Oy=3x-2
x=y+8
O x=
O 2x+5y = 12
O3y=8x-5
Genbrug
Answer:
Step-by-step explanation:
The equation written in slope-intercept form is: y=3x-2.
Starting from home, you drive a certain distance south to Best Buy to get a new monitor for your computer. You then drive 5 miles west to return that awful shirt your mother bought you for your birthday. You then drive 25 miles home. How far is it from your home to Best Buy?
Answer:
To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, we can consider the distance from home to Best Buy as the hypotenuse, and the distance traveled west and south as the other two sides.
Let's call the distance from home to Best Buy "x". Then, using the Pythagorean theorem:
x^2 = (distance south)^2 + (distance west)^2
We know that the distance west is 5 miles, and the distance home is 25 miles. We don't know the distance south, so let's call that "y".
Then we have:
x^2 = y^2 + 5^2
25^2 = y^2 + 5^2
Solving for y, we get:
y^2 = 25^2 - 5^2
y^2 = 600
y = sqrt(600)
y = 24.49 (rounded to two decimal places)
Now we can plug in y to find x:
x^2 = y^2 + 5^2
x^2 = 24.49^2 + 5^2
x^2 = 625.12
x = sqrt(625.12)
x = 25.00 (rounded to two decimal places)
Therefore, the distance from home to Best Buy is approximately 25 miles.
Step-by-step explanation:
What is double fifteen point 5
Answer: 31
Step-by-step explanation:
Divide 480g in the ratio 5,3,4
The weights of the three parts are 200g, 120g, and 160g, respectively, in the ratio of 5:3:4.
What is Ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
To divide 480g in the ratio 5:3:4, we need to divide the total amount into 3 parts (corresponding to the three parts of the ratio), where the first part is 5/12 of the total, the second part is 3/12 (or simplified, 1/4) of the total, and the third part is 4/12 (or simplified, 1/3) of the total.
To find the weight of the first part (in the ratio of 5), we need to multiply the total weight by the fraction representing the first part of the ratio:
5/12 * 480g = 200g
To find the weight of the second part (in the ratio of 3), we need to multiply the total weight by the fraction representing the second part of the ratio:
1/4 * 480g = 120g
To find the weight of the third part (in the ratio of 4), we need to multiply the total weight by the fraction representing the third part of the ratio:
1/3 * 480g = 160g
Therefore, the weights of the three parts are 200g, 120g, and 160g, respectively, in the ratio of 5:3:4.
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I need help! Please include an explanation.
The location of A ' given the rotation about the origin and the xy coordinate plane is D. In Quadrant IV.
How to find the location ?To rotate a point 180° about the origin, we switch the signs of both coordinates. For instance, if you have ( x, y ) rotated, then it becomes ( - x , - y ).
So, if A is located at (-4, 3), then A' is located at (4, -3).
The point A' is located in Quadrant IV, because it has a positive x-coordinate and a negative y-coordinate, which is the characteristic of points in this quadrant.
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Ms. Monroe ordered 24 costumes from Tip-Tap dance supply for each of her dance students to wear at an upcoming recital. Since she ordered during the store's end-of-season sale, Tip-Tap took $3.50 off the price of each costume. Ms. Monroe paid $516 in all.
Answer:
the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.
Step-by-step explanation:
Let the original price of each costume be $x. The sale price of each costume will be $(x-3.50). Ms. Monroe ordered 24 costumes, so the cost of 24 costumes at the sale price will be:
24 × (x-3.50) = $24x - $84
Ms. Monroe paid $516 in all, so we can write:
24x - 84 = 516
Adding 84 to both sides, we get:
24x = 600
Dividing both sides by 24, we get:
x = 25
Therefore, the original price of each costume was $25, and the sale price was $(25-3.50) = $21.50.
Answer: so Ms.Monroe got $84 off her entire purchase
Step-by-step explanation: I hope it helps
For the graph below which of the following is a possible function for f
From the given options, option 1 depicts a decreasing function. Hence, option 1 is the correct answer for the graph.
What is decreasing function graph?Calculus uses a function's derivative to determine whether a function is rising or decreasing at various intervals in a specific domain. Given a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
We observe that the function of f approaches to 0 as it moves towards infinity. Thus, it is a decreasing function.
From the given options, option 1 depicts a decreasing function. Hence, option 1 is the correct answer.
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x2/3 is the same as x^2/x^3
Answer:
Step-by-step explanation: true
Geometry triangle inequality theorem
The Required explanation of triangle inequality theorem has been done.
What is inequality?In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.
According to question:The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides is always greater than the length of the third side. Mathematically, if a, b, and c are the lengths of the sides of a triangle, then a + b > c, b + c > a, and c + a > b.
This theorem is a fundamental principle in geometry and can be used to prove many other theorems related to triangles.
It is also used in everyday life, such as in designing bridges, ensuring the stability of buildings, and determining the shortest distance between two points.
The triangle inequality theorem is a powerful tool in mathematics and is a key concept for anyone studying geometry.
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Given that £1 = $2, how much is $30 worth in Pounds (£)?
Answer:
15£
Step-by-step explanation:
if 1£=2$
then30$=30/2
15£
Jorge's 3/4 hr drive to a job was part city and part country drivingIf 2/11 hr was city driving, how much time was spent on country driving?
Using arithmetic operation, the value for time spent on country driving is obtained as 25/44 hour.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Jorge's drive was 3/4 hour, and 2/11 hour of that time was spent on city driving.
To find the time spent on country driving, we can use arithmetic operation of subtraction.
Subtract the time spent on city driving from the total driving time -
Time spent on country driving = Total driving time - Time spent on city driving
= 3/4 hour - 2/11 hour
To subtract these fractions, we need a common denominator.
The smallest number that 4 and 11 both divide into is 44 -
3/4 = 33/44
2/11 = 8/44
So -
Time spent on country driving = 33/44 hour - 8/44 hour
= (33 - 8)/44 hour
= 25/44 hour
Therefore, Jorge spent 25/44 hour driving on country roads.
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Gabby gets paid 10$ for every dog she walks. The amount of money she earns depends on the number of dogs she walks.
This equation works for any number of dogs, as long as the rate remains constant.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
That's correct, Gabby's earnings are directly proportional to the number of dogs she walks. We can use a simple equation to represent this relationship:
Earnings = Rate x Number of Dogs
In this case, Gabby's rate is $10 per dog, so the equation becomes:
Earnings = 10 x Number of Dogs
For example, if Gabby walks 5 dogs, her earnings would be:
Earnings = 10 x 5 = $50
If she walks 8 dogs, her earnings would be:
Earnings = 10 x 8 = $80
And so on.
Therefore, This equation works for any number of dogs, as long as the rate remains constant.
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PLS ANYONE HELP ME ANYONE?!!!!!??!!!
The correct ordered pair for the data is (1, 2), (2, 4), (3, 6), and (4, 8). The correct option is A.
What is an ordered pair?An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples or 2-length sequences.
Number of Boxes of Popcorn Cost ($)
1 2
2 4
3 6
4 8
The ordered pair of the data is,
(1, 2),
(2, 4),
(3, 6),
(4, 8),
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