There is the average decrease in temperature which is -2.5 degrees per hour.
Explain the term average rate of change?The average rate where the one quantity changes in relation to another's change is referred to as the average rate of fluctuation function. A method that determines the amount of variation in one item divided mostly by corresponding amount of variation in another is known as just an average rate of change function.For the given data:
Temperature at 8:00 pm : 45.2 degrees Temperature at 1:00 am : 32.7 degreesSo,
Difference in temperature = 32.7 - 45.2
= -12.5
Total time from 8:00 pm to 1:00 am = 5 hours.
Then,
Average change in temperature per hour = -12.5 / 5 = -2.5 degrees.
Thus, there is the average decrease in temperature which is -2.5 degrees per hour.
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Does an acute triangle equal 180 degrees?
Yes, All three interior angles of an acute triangle measure less than 90°. The sum of the angles of an acute triangle adds up to 180°.
An acute triangle is a triangle in which all three interior angles are less than 90º. Although the three interior angles of the acute triangle lie between 0° to 90°, their sum is always 180 degrees.
Triangles can be categorised on the basis of angles and sides. An acute triangle is one that is categorised on the basis of the measurement of angles. If all the interior angles of a triangle are less than 90°, then the triangle is stated to be an acute triangle.
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A train is traveling at a constant speed and has traveled 67.5 miles in the last 1(1)/(2) hours. Which equation shows the proportional relationship between the distance, d, and the time, t, that the train has traveled?
a)d=45t
b)d=50t
c)d=67.5t
d)d=69t
Answer:
a)
Step-by-step explanation:
By definition; for constant speed,
S = ∆d/t
= 67.5/1.5
= 45
Therefore, the relationship between d and t is giving as; d = 45t
what is 9/2 as a whole number?
Answer: 11
Step-by-step explanation:
PLEASE HELP ASAP!!!!!
Answer: It's the first one
Also could you mark my answer as brainliest? It helps and doesnt hurt
You want to have 100,000 fund in 12 years. How much money will you have to deposit now in an account with an APR, annual percentage rate, of 8% and compounding monthly?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 100000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &12 \end{cases}[/tex]
[tex]100000 = P\left(1+\frac{0.08}{12}\right)^{12\cdot 12}\implies 100000=P\left( \frac{151}{150} \right)^{144} \\\\\\ \cfrac{100000}{\left( \frac{151}{150} \right)^{144}}=P\implies \boxed{38411.47\approx P}[/tex]
AABC is similar to AXYZ. AB = 15 and XY = 25. If YZ =
15, what is the measure of BC?
The measure of BC is 9 units.
Now, According to the question:
The given data is:
Quadrilateral ABCD is similar to Quadrilateral WXYZ.
AB =15 WX =25 XY =15 and YZ =20
To find the measure of BC.
We know that the corresponding sides of similar figures are proportional.
It is given that Quadrilateral ABCD is similar to Quadrilateral WXYZ. It means their corresponding sides are proportional.
[tex]\frac{AB}{WX}=\frac{BC}{XY}=\frac{CD}{YZ}=\frac{AD}{WZ}[/tex]
Now,
[tex]\frac{AB}{WX}=\frac{BC}{XY}[/tex]
After substituting the given values, we get
[tex]\frac{15}{25}=\frac{BC}{15}[/tex]
[tex]\frac{3}{5}=\frac{BC}{15}[/tex]
Multiply both sides by 15.
[tex]\frac{3}{5}[/tex] × 15 = [tex]\frac{BC}{15}[/tex] × 15
BC = 9
Therefore, the measure of BC is 9 units.
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The complete question is this:
Quadrilateral ABCD is similar to Quadrilateral WXYZ. If AB =15 WX =25 XY =15 and YZ =20, what is the measure of BC?
Team Alpha and team Zeta are the finalists in a scholastic quiz. Before the quiz begins, Jamie randomly polls audience members about which team they think will win.
Select the correct probability model that represents the situation.
The probability model that either team Alpha or team Zeta will win is 1/2.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Number of teams in the quiz = 2
i.e
Team Alpha and team Zeta.
Now,
The probability that team Alpha will win.
= 1/2
The probability that team Zeta will win.
= 1/2
Thus,
The probability model that one team will win is 1/2.
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Tyrone had some milk. He used 1 1/6 cup of milk to make hot chocolate. Then he bought 2 5/6 cups of milk at the store. Now Tyrone has 3 1/6 cup of milk. How much milk did Tyrone have to start?
Tyrone initially had 1 1/6 cup amount of milk, but after buying 2 5/6 cups of milk at the store, he now has 3 1/6 cups.
1. Start with 1 1/6 cups of milk
2. Add 2 5/6 cups of milk
3. 1 1/6 + 2 5/6 = 3 1/6 cups of milk
Tyrone started out with 1 1/6 cup of milk. This could have been used for any number of things, such as cereal or baking. He then used 1 1/6 cup of this milk to make hot chocolate. After using the milk, Tyrone decided to buy 2 5/6 cups of milk from the store. This was most likely to make up for the milk he had used and to have enough for future use. Adding the 2 5/6 cups of milk to the 1 1/6 cup of milk he had originally gives a total of 3 1/6 cups of milk. This means that Tyrone had 1 1/6 cup of milk to start.
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A soccer club has 560 members. So far, 78
of the members have helped clean up their practice park.
What percent of the members have helped clean up the park?
How many members have helped clean up the park?
The percentage of members who have contributed to park cleanup will be 87.5%.
There will be 490 members who have helped clean up the park.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
As per the question, So far, 7/8 of the soccer club's 560 members have helped clean up their practice park.
The percentage of members that helped clean up the park will be calculated as :
= 7/8 × 100
= 87.5%
The members that have helped clean up the park will be calculated as :
= 7/8 × 560
Apply the multiplication operation, and we get
= 490 members
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You roll a six-sided number cube (dice) once. How likely is it that you will roll a number less than 1? How likely is it that you will roll a number less than 7?
The probability that a number less than 1 will be rolled is 0 and the probability that the the number rolled will be less than 7 is 1
What is Probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.
Probability = sample space / total possible outcome
A fair die has 6 sides and each sides named from 1 to 6. Therefore the highest number one can get on a die is 6 and the least is 1
Therefore the probability to get a number less than 1 = 0/6 = 0
The probability of getting a number less than 7 = 6/6 = 1
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How many solutions does a system of linear equation in two variables has if the?
There are infinitely many possible solutions to a two-variable linear equation. Every point which is a straight line, represents a solution to a linear equation with two variables.
What exactly are equation systems?In algebra, multiple equations are referred to as simultaneous equations or systems of equations because they must be solved simultaneously (the solution must satisfy each system of equations). For a system to have a singular solution, there must be an equal number of unknowns and equations. When there are enough data to construct equations from multiple unknowns, systems of equations are used to solve problems. When there are n unknowns, we typically require sufficient knowledge to formulate an equation for each one.
Thus, a system of linear equations with two variables has infinitely many solutions.
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Solve for X (photo attached)
Answer:
x=5
Step-by-step explanation:
set (2x+41)=51
subtract 41 from both sides
2x=10
divide each side by 2
x=5
What is the value of the integral of x^3 from 0 to 2?
=======================================
Work Shown:
[tex]\displaystyle \int_{0}^{2}\text{x}^3d\text{x}\\\\\\\displaystyle \frac{1}{4}\text{x}^{4}+C\bigg|_{0}^{2}\\\\\\\displaystyle \left[\frac{1}{4}2^{4}+C\right]-\left[\frac{1}{4}0^{4}+C\right]\\\\\\4\\\\\\\text{Therefore,} \ \displaystyle \int_{0}^{2}\text{x}^3d\text{x} = 4\\\\[/tex]
-----------
The integral rule I used in the 2nd step was
[tex]\displaystyle \int \text{x}^{n}d\text{x} = \frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex]
in which you can verify it's valid by differentiating [tex]\frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex] to end up with [tex]\text{x}^{n}[/tex] again.
Answer:
To find the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2, we need to evaluate the definite integral:
[tex]\int_{0}^{2} {x}^{3} dx[/tex]
Using the power rule of integration, we can integrate the function as follows:
[tex]\int {x}^{3} dx = \frac{{x}^{4}}{4} + C[/tex]
where C is the constant of integration.
Plugging in the limits of integration, we get:
[tex]\int_{0}^{2} {x}^{3} dx = \left[\frac{{x}^{4}}{4}\right]_{0}^{2}[/tex]
[tex]= \left(\frac{{2}^{4}}{4}\right) - \left(\frac{{0}^{4}}{4}\right)[/tex]
[tex]= \frac{16}{4} - 0[/tex]
[tex]= 4[/tex]
Therefore, the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2 is 4.
Find the binomial that completes the factorization
S^3-1=( )(s^2+s+1)
The binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).
What is binomial?
A polynomial called a binomial has only terms. As an illustration, x + 2 is a binomial, where x and 2 are two distinct terms. Additionally, in this case, x's exponent, coefficient, and constant are all equal to 1.
A binomial is an algebraic expression with two terms that contains a variable, a coefficient, exponents, and a constant. The binomial polynomial x2 + 4x is another illustration.
Given that
S³-1=( )(s²+s+1) complete the factorization by finding the correct binomial
But this expression follows difference of cubes and factors as
a³ - b³ = (a - b)(a² + ab + b²)
With this, we can write the binomial as
S³-1=(S - 1)(s²+s+1)
Thus, the binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).
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Debbie rides her bike 6 miles in 30 minutes. At this rate, how many minutes will it take her to ride 21 miles?
Answer:
105
Step-by-step explanation:
Time is always x, the independent variable.
Distance, money, etc. is always y, the dependent variable, when dealing with time.
Start with the ratio of 6:30.
If you travel 6 miles in thirty minutes, how many do you have in one?
Simplify it like this: [tex]\frac{6}{30} :\frac{30}{30}[/tex] [tex]= \frac{1}{5}: \frac{1}{1}[/tex]
You travel a fifth of a mile in 1 minute. Now you must find out how much it takes to get from [tex]\frac{1}{5}[/tex] to 21.
(Hint: 21 ÷ [tex]\frac{1}{5}[/tex])
You may use a calculator.
So it takes 105 minutes just to cover 21 miles, and this can be shown in fraction form as [tex]\frac{21}{105}[/tex], or simpler, [tex]\frac{1}{5}[/tex].
Please forgive me if I am wrong. I trusted my brain and calculator, yet I will take full blame.
30-60-90
Pls help me . I don’t know what to do with this one
can somebody help me if you can i will give you 10 points
Answer:
D and C
Step-by-step explanation:
In triangleFGH, the measure of zH=90, HG=36, GF=85, and FH=77
The required measure of the angle G is given as 65°.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
∠H = 90
HG = 36
FH = 77
According to the question,
tanG = FH/HG
tanG = 77 / 36
G = tan⁻¹[77/36]
G ≈ 65°
Thus, the required measure of the angle G is given as 65°.
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question 13 of 99 sarah answered 12 questions correct and scored 80%. how many questions were on the quiz?
If Sarah answered 12 questions correctly, then there must have been 15 questions on the quiz in total. This is because 80% of 15 is 12. To calculate this, you would use the equation: (number of correct answers/total number of questions) x 100.
Since Sarah got 80%, if you plug in 12 for the number of correct answers, the total number of questions must be 15. To check this answer, you can also use the equation: (percentage/100) x total number of questions = number of correct answers. If you plug in 80 for the percentage and 15 for the total number of questions, the answer would be 12, which is the number of correct answers Sarah got. This confirms that there were 15 questions on the quiz.
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Mrs. Wilke spends $72 on pies for the school fair. Each pie costs $8. How many pies does Mrs. Wilke buy for the school fair?
Answer:
9 pies
Step-by-step explanation:
We know
Mrs. Wilke spends $72 on pies
1 pie = $8
We take
$72 divided by $8 = 9 pies
So, Mrs. Wilke buys 9 pies for the school fair.
The corners for a fence are located at A(11,3), B(3,-11) C(-13,-9), and D(-5,9). What is the best description of the shape enclosed by the fence?
The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus
What are Vertices of a PolygonThe vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.
The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)
In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.
It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.
In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.
The shape with the vertices is a rhombus.
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What is the value of x?
Answer: i think (0,3)
Step-by-step explanation:
What is the difference between a parameter and a statistic example?
Investment account 1 starts with a balance of $800 and increases s by $100 each year.
Investment account 2 starts with a balance of $100 and doubles every two years.
How long does it take for each account to double?
Answer: For Investment account 1, it increases by $100 every year. To double the initial amount, it would take 800/100 = 8 years.
For Investment account 2, it doubles every two years. Therefore, it will take 2 years for the account to double.
Step-by-step explanation:
Please help its finals
Mrs. Cheng's class lost the most pencils as the median value is larger than Mr. Simson's class.
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
The box plot displays the number of pencils lost in a school year.
Mr. Simpson's class.
From the box plot,
Median = 14.5
Mrs. Cheng's class.
From the box plot,
Median = 16
The median tells us the average number of pencils lost.
Mrs. Cheng's class median is larger than Mr. Simpson's class.
Thus,
Mrs. Cheng's class lost the most pencils.
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In an apartment complex of 100 people, 40
of the residents read USA Today, 25 read
the New York Times and 9 read both.
Given that a resident reads USA Today,
what is the probability that they also read
the New York Times? Enter your answer as
a fraction.
The probability that they read both newspapers will be 9/40.
What is probability?
Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.
Now,
Total people=100
Reads USA today=40
Reads NY times=25
Reads both=9
Probability of people who read USA today=40/100
Probability that they also read NY times given they also read USA today=(9/100)/(40/100)
=9/40
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How many solutions are there in a quadratic equation *?
Quadratic equation will have 2 solution
Common quadratic equation as follows :
[tex]f(x) = ax^{2} + b(x) + c[/tex]
where :
a is the coefficient of [tex]x^{2}[/tex]
b is the coefficient of x
c is the constant term
To solve this equation there are several ways to do. One of the way is by factor.
For example :
[tex]x^{2} +7x + 10 = 0[/tex]
From above equation we search for factor. Assume they are a and b.
a. If a x b, the result will be 10
b. If a + b , the result will be 7
As we know that factor of 10 is 1, 2, 5, 10.
The best answer for those equation will be a = 2 and b = 5
[tex]x^{2} + 7x +10 = 0[/tex]
( x + 5 )( x + 2 ) = 0
x = -5 or x = -2
So the equation will have 2 solution. They are -5 and -2
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Enter the correct answer in the box.
Replace the values of m and n to show the solutions of this equation.
x² + 6x - 5=0
√0
(0)
(0) 101
Vo
d
4
x=m+n
The solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.
What is equation?An equation is an expression that states the equality of two mathematical quantities. It usually involves a set of mathematical symbols, such as an equal sign, numbers, and operators, which represent the relationship between the two sides of the equation. Equations are used to solve a variety of mathematical problems, ranging from simple equations to complex systems of equations.
We can solve this equation by using the Quadratic Formula.
The Quadratic Formula states that x = (-b ± √(b² - 4ac))/(2a).
In this equation, a = 1, b = 6, and c = -5.
Therefore, x = (-6 ± √(6² - 4(1)(-5))/(2(1))
x = (-6 ± √36 + 20)/2
x = (-6 ± √56)/2
x = (-6 ± √7(8))/2
x = (-6 ± 8)/2
x = (m = -14/2) + (n = 8/2)
Therefore, the solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.
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Which of the following ordered pairs represent points that lie on a horizontal line?
The ordered pairings (-2, 3), and (-5, 3), respectively, depict points along a horizontal line.
What is horizontal line?Let's go over some information on the horizontal line.
If the y-coordinates of every point along the line are equal, the line is horizontal.
The horizontal line's slope is zero and it is perpendicular to the x-axis.
Because the y-coordinates of every point on the line equal b, the equation of the horizontal line through point (a, b) is y = b.
Find the points with the same y-coordinates in order to identify the ordered pairs that represent points along a horizontal line.
Response A:
The paired numbers are (-2, 3), and (-5 , 3)
X is located between -2 and -5.
3 and 3 are the y-coordinates.
The two ordered pairs' y-coordinates are equivalent.
Points (-2, 3) and (-5, 3) are adjacent on a horizontal axis.
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Which box-and-whisker plot represents this data: 6, 7, 9, 9, 20, 22, 26, 28, 29, 30?
As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .
what is mean ?The mean of a dataset, often known as the arithmetic mean, is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used indicator of central tendency and is frequently referred to as the "mean." This is obtained by dividing the number of values in the dataset by the sum of all the values. Calculations can be performed using either raw data or data that has been integrated into frequency tables. A number's average is referred to as its average. Simple math can be used to determine: After adding up all the digits, divide by the number of digits. the sum divided by the number.
given
N = 10 observations were made.
The base number is 6. ( least value)
Quartile lower, n+1 = 0.25
term = 0.25(13) = 3.25term = 13
Median equals 0.5 (n + 1)
term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22
Upper quartile: 0.75 (13)
Interquartile Range (IQR) is equal to Q3 - Q1 (26.5 - 13) = 13.5
The highest value is 30. (highest value in the distribution)
As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .
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