Answer:
Yes, both men could drive at the rate of 112 miles in 2 hours. This is because you need to find the unit rate. For Theo's unit rate it is 57 miles per hour while Lex could drive at 62 miles per hour. Finally, the last statement ask if they could drive at a unit rate of 56 miles per hour and yes both men can.
Step-by-step explanation:
Answer: Theo's speed is 240 miles / 4 hours = <<240/4=60>>60 mph.
Lex's speed is 183 miles / 3 hours = <<183/3=61>>61 mph.
To determine whether Theo can drive 118 miles in 2 hours, we can calculate the time it would take him to travel 118 miles at his speed of 60 mph: 118 miles / 60 mph = <<118/60=1.97>>1.97 hours.
Since 1.97 hours is less than 2 hours, Theo could drive 118 miles in 2 hours.
To determine whether Lex can drive 118 miles in 2 hours, we can calculate the time it would take him to travel 118 miles at his speed of 61 mph: 118 miles / 61 mph = <<118/61=1.93>>1.93 hours.
Since 1.93 hours is less than 2 hours, Lex could also drive 118 miles in 2 hours.
Therefore, both Theo and Lex could drive 118 miles in 2 hours.
Select the figure that shows a division into composite parts. Then find the area of the figure. Each square represents 1 square unit. Round to the nearest tenth, if necessary. The area of the composite figure is sq. units.
The total area is given as 30 sq units.
What is Area of a Composite Figure?A composite figure is a two-dimensional shape that is made up of two or more simpler shapes, such as squares, rectangles, triangles, circles, or trapezoids. The area of a composite figure is the total amount of space that is enclosed within its boundaries.
To find the area of a composite figure, you need to first identify all of the individual shapes that make up the figure. Then, you can find the area of each shape using the appropriate formula. Finally, you add up the areas of all the shapes to get the total area of the composite figure.
Read more about area here:
https://brainly.com/question/2607596
#SPJ1
at my office, $16$ people own cats, $8$ people own dogs, and $5$ people own both cats and dogs. how many people own a cat or a dog?
There are 19 people who own a cat or a dog.
What is number refers to?A number is a mathematical object used to represent quantity, measurement, or a count of something. It can be an integer (whole number), a rational number (fraction), an irrational number (such as pi), or a real number (which includes all rational and irrational numbers).
To find the number of people who own a cat or a dog, we need to add the number of people who own only cats to the number of people who own only dogs, and then add the number of people who own both cats and dogs.
Let's start by finding the number of people who own only cats. We know that 16 people own cats, and 5 people own both cats and dogs. Therefore, the number of people who own only cats is:
16 - 5 = 11
Next, let's find the number of people who own only dogs. We know that 8 people own dogs, and 5 people own both cats and dogs. Therefore, the number of people who own only dogs is:
8 - 5 = 3
Finally, we can add the number of people who own only cats to the number of people who own only dogs, and then add the number of people who own both cats and dogs:
11 + 3 + 5 = 19
So, there are 19 people who own a cat or a dog.
Learn more about integer here:
https://brainly.com/question/15276410
#SPJ1
a roulette wheel has the numbers from 1 to 36, as well as 0 and 00. when an odd number comes up, you win $1; otherwise, you lose $1. what is the expected gain (or loss) from a single trial? what is the variance of the gain (or loss)?
The predicted gain (or loss) from a single trial is 53 cents per game on average.
A roulette wheel has the number 1 through 36, as well as 0 and 00. If you wager $1 that an odd number would show up, you will win or lose $1 depending on whether or not that occurrence occurs. If random variable X represents your net benefit, X=1 with probability 18/38 and X=-1 with probability 20/38.
E(X) = 1(18/38) – 1 (20/38) = -$.053
On average, the casino wins 5 cents for each game.
If the stakes are raised, the casino makes even more money:
E(X) = 10(18/38) – 10 (20/38) = -$.53
If the cost is $10 for each game, the casino wins an averaged of 53 cents per game. If 10,000 games are played in a single night, that's a cool $5300.
To learn more about the roulette wheel probability questions, use the link below.
https://brainly.com/question/5883617?referrer=searchResults
#SPJ4
Sasha measured the length of an ant as 1.3 x 10-3 meter. Write this length in standard.
\(\\ \sf\longmapsto 1.3\times 10^{-3}m\)
\(\\ \sf\longmapsto 13\times 10^{-2}m\)
\(\\ \sf\longmapsto 13cm\)
10^-2m=1cmFind the volume of a sphere with a surface
area of 16 square feet. Round your answer
to the nearest hundredth.
The volume is about
cubic feet.
The approximate volume of the sphere is 6.01 ft³.
What is the volume of the sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).
Given that the surface area of the sphere is 16 square feet.
First, we determine the radius r:
Surface area = 4πr²
Hence
16 = 4πr²
Dividing both sides by 4π, we get:
r² = 16/4πr
r = √( 16/4πr )
r = 1.128 ft
Plugging in the value of r that we just found, we get:
Volume = (4/3)πr³
Volume = (4/3) × 3.14 × (1.128 ft)³
Volume = 6.01 ft³
Therefore, teh volume is 6.01 ft³.
Learn about volume of hemisphere here: brainly.com/question/22886594
#SPJ1
for most stocks, a scatter plot chart of stock returns versus past stock returns will appear as: multiple choice a shotgun pattern centered close to the origin. a random pattern mostly concentrated in the top-right and lower-left quadrants. a random pattern mostly concentrated in the upper-left and upper-right quadrants. none of the options.
A scatter plot chart of stock returns versus past stock returns will typically appear as a random pattern mostly concentrated in the top-right and lower-left quadrants.
Describe your answer more in detail?This pattern indicates that there is a positive correlation between past and current stock returns, but there are also instances where current returns are negative despite past positive returns.
The top-right quadrant represents instances where both past and current returns are positive, while the lower-left quadrant represents instances where both past and current returns are negative.
The random pattern indicates that stock returns cannot be predicted with certainty based on past returns alone.
Learn more about scatter plot chart.
brainly.com/question/12719656
#SPJ11
Which of the following criteria are used when deciding upon the
inclusion of a variable? Check all that apply.
Group of answer choices
A-Theory
B-t-statistic
C-Bias
D-Adjusted R^2
the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.
When deciding upon the inclusion of a variable, the following criteria are commonly used:
A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.
B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.
C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.
D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.
To know more about variable visit:
brainly.com/question/29583350
#SPJ11
Pls answer this question cuz i don't know what is the answer on this one
Pls it's on the picc
Just zoom if you don't clearly see it
THANK YOU IN ADVANCE
And Btw it's 50 points
PRETTY PLSSSSSS
Answer:
1/7 because you do the inverse.
Answer:
7 is b
Step-by-step explanation:
Consider the graph of the function f(x)=(x−2)12 below. Which statements are true about the function f(x) ? Choose all that are correct. A The minimum value of f(x) occurs at the point x=0 . B The function does not reach a maximum value. C The function is increasing for all values of x larger than 2. D For some values of x , f(x)<0 . E The function is decreasing for all values of x smaller than 2.
The correct statements regarding the function in the graph are given as follows:
B. The function does not reach a maximum value.
C The function is increasing for all values of x larger than 2.
What are the correct statements regarding the function?The function is defined for values of x or 2 and greater, and the function is increasing until infinity(hence it does not reach a maximum value) for all these values, hence statements B and C are correct.
More can be learned about functions at https://brainly.com/question/25537936
#SPJ1
What is f(3) for the function f(x) = 2x +5?
Answer:
f(3) = 11
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 2(3) + 5 = 6 + 5 = 11
Help me please people please
Answer:The bottom left one is the answer.
En el parque infantil hay una zona de aprendizaje de conducción que tiene miniautos y triciclos. Si en total hay 18 vehículos y 64 llantas, ¿cuántos miniautos y cuántos triciclos hay?
Answer:
There are 6 mini cars and 12 tricycles.
Step-by-step explanation:
In the playground, there is a driving learning area that has mini cars and tricycles. If there are 18 vehicles and 64 tires in all, how many miniature cars and how many tricycles are there?
Given that there are a total of 18 vehicles in the driving learning area.
Let there are x number of the mini car,
so, the number of tricycles = 18-x
As one car has 4 tires, so the total number of car tires = 4x
As one tricycle has 3 tires, so the total number of tricycle tires = 3(18-x)
Given that the total number of tires is 60, so
4x+3(18-x) =60
4x+54-3x=60A
x=60-54=6
So, the total number of mini cars= 6
and the total number of tricycles = 18-6=12
Hence, there are 6 mini cars and 12 tricycles.
Can someone please answer these questions and explain how you got them
Answer:a) r >= -20
b) -10 <= x, or x >=-10
c) q<= 5
Step-by-step explanation:
a)-11r >=220
-11r/-11 >= 220/-11
r>=-20
b) -8<=-7+x/10
-8+7<=x/10
-1 <=x/10
-10 <=x
c) -1-6(5q-2)>=-139
-1 -30q +12 >= -139
-30q+12-1>=-139
-30q+11>=-139
-30q >= -139-11
-30q>= -151
-30q/-30 >= -151/-31
q <= 5,
u will notice the sign has changed from >= to <= it is coz when the negative signs erase themselves.
Find the equation of the hyperbola with the following properties. Express your answer in standard form.Foci at (7, 0) and (7, 10)Asymptotes ofy -5 = t;( -7
Answer:
\(\frac{(y-5)^2}{16}-\frac{(x-7)^2}{9}=1\)
Explanation:
The standard form of an hyperbola is:
\(\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\)Where (h, k) are the coordinates of the center.
We are given the asyptotes and the foci.
The foci are (7, 0) and (7, 10)
The y value of the center of the parabola is midway from the two foci. Then, the y-coordinate of the center is 5
The coordinated of the center are (7, 5)
Now, we can use that the form of the asymptotes are:
\(y=k\pm\frac{a}{b}(x-h)\)We have:
\(y-5=\frac{4}{3}(x-7)\)Then:
\(\frac{a}{b}=\frac{4}{3}\)a = 4
b = 3
Now we can write:
\(undefined\)how to find central angle with radius and arc length
The central angle of a circle when you know the radius and arc length, you can use the formula:
Central angle (in radians) = Arc length / Radius
To find the central angle of a circle when you know the radius and arc length, you can use the formula:
Central angle (in radians) = Arc length / Radius
If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):
Central angle (in degrees) = (Arc length / Radius) * (180 / π)
Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.
To know more about central angle:
https://brainly.com/question/29150424
#SPJ4
Write a statement to compare the Theoretical and Experimental Probabilities .
Answer:
Hello!
Step-by-step explanation:
Theoretical probability is what's expected to happen
Experimental probability is what's happen based on the experiment
Daisy gets 20 cats delivered to her shelter in the last month She expects to get 20 this month based on the theoretical probability but she actually gets 15 cats this month so her theoretical probability was 5 more then her experimental probability Hope that helps!
Find the domain of the graphed function.
-5
O A. -1 sxs3
B. X2-1
O C. x is all real numbers.
OD. -5 sxs 4
Answer:
A. -1 ≤ x ≤ 3
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, our x-values span from -1 to 3. Since both are closed dot, they are inclusive in the domain:
[-1, 3] or -1 ≤ x ≤ 3
Is the statement true? Explain.
Answer:
The statement is true.
Step-by-step explanation:
We know that line IJ=JK and that line IH=HK. We also know that the two triangles share a side meaning that every side of each triangle is equivalent to each other making them congruent by the Side Side Side postulate.
What is the slope of the line parellel to this line -9x+3y=6
Answer: 3
Step-by-step explanation:
A virus takes 8 days to grow from 70 to 220. How many days will it take to from 70 to 310? Round to the nearest whole number
It will take approximately 12 days for the virus to grow from 70 to 310.
To calculate this, we can use the formula for exponential growth:
Nt = N0 x \(2^{(t/T)\)
where Nt is the final population size, N0 is the initial population size, t is the time period, T is the doubling time, and 2 is the base of the exponential function.
Using the data given, we can solve for T:
220 = 70 x \(2^{(8/T)\) \(2^{(8/T)\) = 220/70\(2^{(8/T)\) = 3.14298/T = log2(3.1429)T = 8/log2(3.1429)T ≈ 2.87So the doubling time of the virus is approximately 2.87 days.
To find how long it takes to grow from 70 to 310, we can use the same formula:
310 = 70 x \(2^{(t/2.87)\) \(2^{(t/2.87)\) = 310/70 \(2^{(t/2.87)\) ≈ 4.43t/2.87 ≈ log2(4.43)t ≈ 2.87 x log2(4.43)t ≈ 12.14Therefore, it will take approximately 12 days for the virus to grow from 70 to 310.
Learn More about exponential growth
https://brainly.com/question/13223520
#SPJ4
HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6
Answer:
4+7x-2
Step-by-step explanation:
i dont know how nit is the anwser put i got it right
Which statement about subnetting is correct?
A. Subnetting applies only to IPv4 networks, unless you are using classless interdomain routing.
B. Both IPv4 and IPv6 provide for subnetting, but the much larger IPv6 address field makes this a lot simpler to design and manage.
C. Subnetting in IPv4 involves the CIDR protocol, which runs at Layer 3; in IPv6, this protocol, and hence subnetting, is not used.
D. Because the subnet mask field is so much larger in IPv6, it is easier to subnet in this newer protocol stack than in IPv4.
The statement "Both IPv4 and IPv6 provide for subnetting, but the much larger IPv6 address field makes this a lot simpler to design and manage" is correct for subnetting.
Hence, the correct option is B.
In IPv4, subnetting involves dividing a network into smaller subnetworks using the Classless Inter-Domain Routing (CIDR) protocol at Layer 3, which allows for more efficient use of IP addresses. The subnet mask determines the network and host portions of the IP address.
IPv6 also supports subnetting, but uses a different approach called prefix notation, where the network and subnet are represented by a prefix length rather than a subnet mask. Since the address field in IPv6 is much larger than IPv4, there are more available addresses and therefore it is easier to subnet.
To know more about subnetting here
https://brainly.com/question/29457500
#SPJ4
Write an equation of the line in slope-intercept form.
HELLLLPPP:((
What's the original slope of y = 3 - 1/2x ?
Answer:
-1/2
Step-by-step explanation:
y = mx + c
y = -1/2x + 3 (rearranged from question)
slope = m
Answer:
- 1/2
Step-by-step explanation:
Let p and q represent the following simple statements. p : The diner is closed. q: It is Sunday. Write the following compound statement in symbolic form. Being Sunday is necessary and sufficient for the diner being closed. The compound statement written in symbolic form is
The compound statement "Being Sunday is necessary and sufficient for the diner being closed" can be represented symbolically as "p if and only if q," where p represents the statement "The diner is closed" and q represents the statement "It is Sunday." This symbolic form indicates that p is true if and only if q is true.
In symbolic logic, the phrase "if and only if" is represented by the biconditional operator "⇔" or "iff." It expresses that two statements are both necessary and sufficient for each other. In this case, the statement "Being Sunday is necessary and sufficient for the diner being closed" can be translated as "p if and only if q," or more formally as "p ⇔ q."
Breaking down the statement, we have:
- p: The diner is closed.
- q: It is Sunday.
The compound statement "p if and only if q" asserts that the diner being closed is necessary and sufficient for it to be Sunday, and vice versa. This means that if it is Sunday, then the diner must be closed, and if the diner is closed, it must be Sunday. The biconditional operator ensures that the truth values of p and q are mutually dependent. If either p or q is false, the entire compound statement is false. However, if both p and q are true or both are false, the compound statement is true.
learn more about biconditional here: brainly.com/question/30731128
#SPJ11
What is the range of the function graphed below?у654GO2-11.2.3.4.5.6-5.-5.-4.-3.-2-112136 N4..5க
From the given graph
The end points of the curve is y = + 3 and y = -3
The point + 3 is shadded while point - 3 is not shadded hence
The range of the function is
\(-3Which is the only set of three measurements that could represent the lengths of a 3 side of a triangle?
A. 3,4,8
B. 2,6,4
C. 4,5,10
D. 6,4,8
Answer:
C or D
Step-by-step explanation:
b)Using the formula from part a, calculate the retail price for each quantity range.
( Hope this helps guys )
ANSWER:
$45.00
$41.40
$37.80
$34.20
$30.60
EXPLANATION:
Ok so the first box is 25.00 your going to multiply .80 whatever your awnser is for that which is 20 then you take that and add the 25 from the box and get 45 and that’s your awnser and just repeat the process for the other boxes .
Answer:
man, thanks alot really helped me I was struggling with this one. Couldnt find any answers
Step-by-step explanation:
Which is the best way to write the underlined parts of sentences 2 and 3?
(2) They have a special finish. (3) The finish helps the
swimmer glide through the water.
Click for the passage, "New Swimsuits."
OA. Leave as is.
B. a special finish that helps
C. a special finish, but the finish helps
D. a special finish so the finish helps
Answer:
Option B is the best way to write the underlined parts of sentences 2 and 3.
Sentence 2: They have a special finish that helps.
Sentence 3: The finish helps the swimmer glide through the water.
Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.
PLEASE HELP Reduce the fraction to lowest terms. K+7/4k+28
Answer:
1/4
Step-by-step explanation:
K + 7 / 4k + 28
The above expression can be simplified to its lowest term as follow:
K + 7 / 4k + 28
Factorise the denominator
(k + 7) / 4(k + 7)
Cancel out the common terms i.e (k + 7)
(k + 7) / 4(k + 7) = 1/4
Thus, (k + 7) / (4k + 28) in its lowest term is 1/4