The number of hours that the trip to the seashore took is given as follows:
t = 2.03 hours.
What is the relation between velocity, distance and time?Velocity is given by the change in the distance divided by the change in the time, hence the following equation is built to model the relationship between these three variables:
v = d/t.
For the first part of the trip, the velocity was of 62 mph, hence:
64 = d/t
d = 64t.
For the second part of the trip, the velocity was of 66 mph and the time was of 4 - t, as the total time was of 4 hours, hence:
66 = d/(4 - t)
d = 66(4 - t).
The distance is the same for both parts of the trip, hence the time is obtained as follows:
66(4 - t) = 64t
130t = 264
t = 264/130
t = 2.03 hours.
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i really need help with multiple of these questions if u get them right please help with more (multiple questions )
Answer:
D. 19.25^2
Step-by-step explanation:
A = 5.5
H = 3.5
A = 19.25^2
Andy has 20 coins made up of quarters and half dollars, and their total value is $9.25. How many quarters does he have?
Using simple linear equations, we can calculate that Andy has 3 quarters.
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Let the number of quarters Andy has = x
number of dollars Andy has = 20 - x
value of quarter = 0.25x
value of dollars = 0.5(20 - x)
Total value = $9.25
⇒ 0.25x + 0.5(20 - x) = 9.25
⇒ 0.25x + 10 - 0.5x = 9.25
⇒ - 0.25x = 9.25 - 10
⇒ - 0.25x = - 0.75
⇒ x = 3
Andy has quarter = 3
He has dollars = 20 - 3 = 17
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How would you graph y = 1/2x+2
Answer:
Dark blue all the way to the left
Step-by-step explanation:
Its Dark blue
Answer:
1st one ( the dark blue) on your left-hand side
Step-by-step explanation:
Because the b=2 which begins on the y axis and 1/2 is the slope which goes one up and right 2.
1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q୨
Q10
E
Rounding each number to the nearest 5, estimate the answer to the following
calculation: 52 x 63
Submit Answer
Skip for Now
Answer:
3280
Step-by-step explanation:
52×63=3276
Round 3276 to 3280
Hope this helps! :)
Pls helpppppppppppppppppppppp
Answer:
0.875
Step-by-step explanation:
7/8 in decimal form is 0.875.
26
11°
X
130
(Round the answer to the nearest hundredth.)
The length of side x is
15319
Gaveart
067295
The length of side x is approximately 24.87, rounded to the nearest hundredth.
how can we find side of the triangle?
To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:
sin(11°) = opposite side/hypotenuse
Rearranging this equation, we get:
opposite side = sin(11°) * hypotenuse
We know that the hypotenuse has a length of 130, so we can substitute that in:
opposite = sin(11°) * 130
Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:
opposite = 0.1919 * 130
Simplifying this expression, we get:
opposite ≈ 24.87
Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.
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subtract the fraction 2 2/6 - 1 3/4?
Answer:
7/12
Step-by-step explanation:
2 2/6 = 14/6 or 7/3
1 3/4 = 7/4
7/3 - 7/4 = 28/12 - 21/12 = 7/12
Bella asked 40 students to name their favorite food. 10 students said their
favorite food was pizza. What percent of the students Bella surveyed said
their favorite food was pizza?
Answer:
25%
Step-by-step explanation:
10 is 25% of 40.
Find the distance between -10.5 and 7 on a number line
Answer:
17.5
Step-by-step explanation:
cout up to zero then to 7
answer both questions and get 20 points and brainliest
Answer:
item 30.
d. 1 ½ as we can see the difference between the each x value is 2 and y value is more of 1 and 2.
items 31.
a. ⅖ as similar to upper question the difference between each x value is 2 and y value is 5 so ⅖
A bus can travel 400 km in 10 hours how many hours will it take to travel 500 km
Answer:
12.5
Step-by-step explanation:
\(400km = 10hr \\ 500km = x \\ \\ 400kmx = 5000kmhr \\ x = 12.5hr\)
Answer: The answer is 12.5
Step-by-step explanation:
I did the math on my paper.
Assuming normality, construct the requested confidence interval.
A sociologist is interested in the age at which a mother has her first child. A random sample of 20 recent births yielded an average maternal age to be 30 years with a standard deviation of 6.2 years.
Construct a 99% confidence interval for the mean age at which a mother has her first child.
Can I have some help with solving this problem with a TI84 calculator?
Answer:
The appropriate response is "(26.03, 33.97)".
Step-by-step explanation:
The given values are:
Average maternal age,
\(\bar{x} = 30\)
Standard deviation,
s = 6.2
Random sample,
n = 20
Now,
The degree of freedom will be:
⇒ \(df=n-1\)
\(=20-1\)
\(=19\)
"t" at confidence level 99%, will be:
⇒ \(\alpha=1-99 \ percent\)
\(=1-0.99\)
\(=0.01\)
⇒ \(\frac{\alpha}{2}=\frac{0.01}{2}\)
\(=0.005\)
⇒ \(t\frac{\alpha}{2} \ df=t \ 0.005,19\)
By using the student table, we get
\(=2.86 1\)
The margin of error will be:
⇒ \(E=\frac{t \alpha}{2,df\times (\frac{s}{\sqrt{n}})}\)
On substituting the estimated values, we get
⇒ \(=2.861\times (\frac{6.2}{\sqrt{20}})\)
⇒ \(=3.97\)
At 99%, the confidence level will be:
⇒ \(\bar{x}-E< \mu <\bar{x}+E\)
⇒ \(30-3.97< \mu < 30+3.97\)
⇒ \((26.03,33.97)\)
Thus the above is the correct approach.
1. Subtract. Write each answer in its simplest form (a) 35 - 13 = 2 - 2 = 25- 8 =
Answer:-15
Step-by-step explanation:
4 +2y+m how many terms?
Answer:
2
Step-by-step explanation:
The equation has 2 terms in it which means 2 is the answer.
Suppose h(t)=−5t2+11t+13
h
(
t
)
=
-
5
t
2
+
11
t
+
13
represents the height of a diver above the water, in meters, t seconds after the diver leaves the springboard. Approximately when does the diver hit the water? Round your answer to the nearest tenths place.
Answer:
3.1 seconds
Step-by-step explanation:
The diver will hit the water when the height is zero.
0 = -5t^2 +11t +13
Using the quadratic formula, we find the solutions to be ...
t = (-11 ±√(11^2 -4(-5)(13)))/(2(-5)) = (-11 ±√381)/-10
The positive solution is
t = 1.1 +√3.81 ≈ 3.1 . . . seconds
The diver will hit the water after 3.1 seconds.
Help please..........
Answer:
Yes
Step-by-step explanation:
Answer:
yes pls give brainliest
Step-by-step explanation:
answer is yes
Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.
Multiplication And Divisin Fact Families ,Will Mark Brainliest
Answer:
1) 56, 56, 56, -7
2) -1, -1, -1, -1
3) -7, 5, -35, -7
4) -4, -8, -4, -8
5) -21, -21, -21, -7
6) 10, -50, -5, -5
7) 48, 48, -4, 48
8) 6, -2, -2, -2
Step-by-step explanation:
Do I really have to explain? lol
Hope this helps.
What is the rate of change for the interval between 0 and
2 for the quadratic equation as f(x) = 2x² + x - 3
represented in the table?
O
23/1/2
04
05
O 10
\(\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)= 2x^2 + x -3 \qquad \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0} \\\\\\ \cfrac{[2(2)^2 + (2) -3]~~ - ~~[2(0)^2 +(0) -3]}{2}\implies \cfrac{7-(-3)}{2}\implies \cfrac{7+3}{2}\implies \text{\LARGE 5}\)
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
What is the average rate change?It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.
Average rate = [f(x₂) - f(x₁)] / [x₂ - x₁]
The function is given below.
f(x) = 2x² + x - 3
The rate of change of the function for the interval between 0 to 2 is calculated as,
Average rate = [f(2) - f(0)] / [2 - 0]
Average rate = [(2(2)² + 2 - 3) - (2(0)² + 0 - 3)] / 2
Average rate = 10 / 2
Average rate = 5
The rate of change for the interval between 0 and 2 for the quadratic equation will be 5. Then the correct option is C.
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A Question 1 (4 points) Retake question
What is the equation of the line that has a slope of 4 and a y-intercept of -7?
A) y = -7x + 4
OB) y = -7/4x
OC) 4x + 7y= 0
D) y = 4x - 7
Required equation of line in slope intercept form
y = 4x - 7
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = \(tan \theta\)
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Slope of the line = 4
y - intercept of the line = -7
The line passes through (0. -7)
Equation of the required line
y - (-7) = 4(x - 0)
y + 7 = 4x
y = 4x - 7
Option D is correct
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the population of a certain locality is 100 000 and is increasing continously at a rate r=0.037, according to the law of natural growth, A=Pe raise to rt find the approximate population in 20 years.
Answer:
209,590 (approx.)
Step-by-step explanation:
A = Pe^rt
P = 100,000r = 0.037t = 20Solving
A = (100,000)(\(e^{0.74}\))A = (100,000)(2.0959)A = 209,590Hi please help me anyone ?!)):
The X-Cordinate is 4
A full bag of dog food weighs 512 pounds.
How much dog food do you have if there are 334 bags in the cupboard?
A. 2238 pounds
B. 2114 pounds
C. 2058 pounds
D. 1538 pounds
Answer:
umm
Step-by-step explanation:
PLSSSS HELPPP I WILL FIVE BRAINLY!!!!
Answer:
The first box : -4 the second one : 6
Step-by-step explanation:
subtract 7 from 3 for the first box, then add 10 to -4 for the second one.
The data below were obtained from an experiment were participants were given drinks with or without caffeine and then asked to tap their fingers. The data for 20 participants are below. Assume the number of taps per minute is normally distributed. The variance is unknown. Find a 95% CI for μ number of taps. Identify the pivot function used. 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242
Answer:
The 95% confidence interval is \(244.26 < \mu < 246.95\)
The pivot function used is
\(t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }\)
Step-by-step explanation:
From the question we are told that
The data given is 246 242 248 245 250 244 252 248 248 247 250 248 246 242 248 244 245 246 250 242
The sample size is \(n= 20\)
Given that the confidence level is 95% then the level of significance is
\(\alpha = (100 - 95)\%\)
\(\alpha = 0.05\)
The degree of freedom is mathematically represented as
\(df = 20 -1\)
\(df = 19\)
From the student t-distribution table the critical value of \(\frac{\alpha }{2}\) is
\(t_{\frac{\alpha }{2} , 19 } = 2.093\)
The mean is mathematically represented as
\(\= x = \frac{\sum x_i}{ n}\)
\(\= x = \frac{246+ 242 +248+245+ 250+ 244+252+ 248 +248 +247+ 250+ 248+ 246+ 242 +248 +244 +245 +246+ 250+ 242}{20}\)\(\= x = 246.6\)
The standard deviation is mathematically represented as
\(\sigma = \sqrt{\frac{\sum (x_i - \= x )^2)}{n} }\)
\(\sigma = \sqrt{\frac{(246- 246.6)^2 +(242- 246.6)^2 +(248- 246.6)^2 + (248- 245)^2+}{20} } \ ..\)
\(\ ...\sqrt{\frac{(250-246.6 )^2+ (244- 246.6)^2+(252- 246.6)^2+ (248- 246.6)^2+ (248- 246.6)^2+}{20} } \ ...\)
\(\ ..\sqrt{\frac{(247- 246.6)^2+ (250- 246.6)^2+ (248-246.6)^2+ (246-246.6)^2+ (242-246.6)^2+ (248-246.6)^2+ (244-246.6)^2+}{20} } \ ...\) \(\sqrt{\frac{ (245-246.6)^2+ (246-246.6)^2+ ( 246-246.6)^2 + ( 250-246.6)^2+ ( 242-246.6)^2 +( 246-246.6)^2+ ( 242-246.6)^2 }{20} }\)\(\sigma = 2.87411\)
The margin of error is mathematically represented as
\(E = t_{\frac{\alpha }{2} , 19} * \frac{\sigma }{\sqrt{n} }\)
\(E = 2.093 * \frac{2.87411 }{\sqrt{20} }\)
\(E = 1.345\)
The 95% confidence interval is mathematically represented as
\(\= x - E < \mu < \= x + E\)
=> \(245.6 - 1.345 < \mu <245.6 + 1.345\)
=> \(244.26 < \mu < 246.95\)
The pivot function used is
\(t = \frac{\=x - \mu}{ \frac{\sigma}{\sqrt{n} } }\)
Using the GCF, what is the factored form of 75 - 3x?
please i need help!!!
u will get 100 points!!!
The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. In this case, we can find the GCF of 75 and 3 by listing their factors and finding the largest one they have in common. The factors of 75 are 1, 3, 5, 15, 25, and 75. The factors of 3 are 1 and 3. The largest factor they have in common is 3. Therefore, the GCF of 75 and 3 is 3.
We can use the GCF to factor the expression 75 - 3x by dividing each term by the GCF and writing the expression as a product. In this case, we can divide both terms by 3 to get 75/3 - (3x)/3, which simplifies to 25 - x. We can then write the original expression as a product by multiplying this simplified expression by the GCF: 3(25 - x).
Therefore, the factored form of 75 - 3x using the GCF is 3(25 - x).
Answer:
3(25-x)
Step-by-step explanation:
First we find the GCF of 75 and -3x, which is 3
3 is the highest number we can divide both 75 and -3
Hence, the answer is 3(25-x)
What is the value of x?
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
x^2 = 16, therefore x = 4.
Is this a valid conclusion? If not, give a counterexample.
PLEASE HELP
Which equation is the slope-intercept form of this equation?
y−10=−2(x+6)
a) y−10=−2x−12
b) 2x+y=−2
c) y=−2x−2
d) x=−12y−1
Answer:
C.
Step-by-step explanation:
The slope intercept form is:
y= mx +b
so you first want to start off by looking for the equation with y being the sum. In this case, there is only one, so you don't have to do anymore work.