Answer:
75in^2
Step-by-step explanation:
5×5×4/2=50
5×5=25
50+25=75
What is the slope of the line that contains these points?
x
-4
1
6
11
y
-3
-2
-1
0
Answer:
Step-by-step explanation:
The slope of the line y = (x/4) - 23/4 is 1/4.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
The points,
x → y
-4 → -3
1 → -2
6 → -1
11 → 0
From the table, we interpreted 2 points (-4, -3) and (11, 0)
If a line passes through two points (x₁ ,y₁) and (x₂, y₂),
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = (0+3) / (11+4)
m = 1/5
So, the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) (x - x₁)
y - y₁ =m (x - x₁)
y +3 = (1/4) (x -11)
y = (x / 4) - 11/4 -3
y = (x/4) - 23/4
Therefore, the slope of the line is m = 1/5.
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A security car is parked 25 ft from a movie theater. Find at what speed the reflection of the security strobe lights is moving along the wall of the movie theater when the reflection is 30 ft from the car. The strobe lights are rotating with the speed 2 revolutions per second.
Answer:
v=20π ft/s
Step-by-step explanation:
Given:
Distance from the security car to the movie theater, D=25 ft
Distance of the reflection from the car, d=30 ft
Speed of rotation of the strobe lights, 2 rev/s
To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.
We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.
ω=2πf
=> ω=2π(2)
=> ω=4π rad/s
The distance between the security car and the reflection on the wall of the theater is...
r=30-25= 5 ft
The speed of reflection is given as (this is the linear velocity)...
v=ωr
Plug our know values into the equation.
v=ωr
=> v=(4π)(5)
∴ v=20π ft/s
Thus, the problem is solved.
The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.
To solve this problem, we can use the concept of related rates. Let's consider the following variables:
x: Distance between the security car and the movie theater wall
y: Distance between the reflection of the security strobe lights and the security car
θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights
We are given:
x = 25 ft (constant)
y = 30 ft (changing)
θ = 2 revolutions per second (constant)
We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.
Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:
x^2 + y^2 = z^2
Differentiating both sides of the equation with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)
Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.
Plugging in the known values, we have:
2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)
Simplifying the equation, we find:
60(dy/dt) = 120π
Dividing both sides by 60, we get:
dy/dt = 2π ft/s
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Aimee lives 8/9 miles from the park. She has walked 3/5 of the way to the park. How far has Aimee walked?
Use the following diagram for questions 1-3.
1. Find x.
2. Find y
3. Find z
Answer:
x= 40° y= 66° z=106° ....
The value of angles are x = 40° , y = 66°, z = 106°
Since there are two parallel lines and two intersecting lines forming a triangle we will use the properties of lines and triangles to find out the value of x,y,z. First of all y = 66° because of the vertical angle theorem, which means that adjacent angles formed by the intersection of two lines are supplementary or equal to 180° degrees. The third angle of the triangle formed is 74°. Using the sum of all angles of the triangle is equal to 180° we can find the third angle of triangle x which is equal to 40°. Now z can be found using the property sum of two opposite interior angles which will come out to be 106°. Hence by this, we can find all the angles.
I hope this answer helps.
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abcdefghijklmnopqrstuvwxyz
Answer: ??
Step-by-step explanation:
Answer:
Step-by-step explanation:
huh
Find the following probabilities. For full marks, provide a graph showing the corresponding area: [6 marks] a) P (0 -1.57) c) P (-1.34
To find the probabilities and represent them graphically, we need more information such as the probability distribution or density function associated with the random variable. hs.
To calculate probabilities and create graphs, we require the probability distribution or density function associated with the random variable. This function describes how probabilities are distributed across different values of the variable. Without this information, we cannot determine the probabilities or create accurate graphs.
In the given question, only intervals are provided (e.g., (0 < x < 1.57) or (-1.34 < x < 0)). However, we don't know the specific probability distribution or the shape of the distribution. Different distributions have different shapes and characteristics, and each would require a different approach to calculate probabilities and create corresponding graphs.
For example, if we assume a normal distribution, we would need to know the mean and standard deviation to determine the probabilities within specific intervals. Alternatively, if we are dealing with a discrete distribution, such as a binomial or Poisson distribution, we would need to know the relevant parameters for those distributions.
Therefore, without additional information about the probability distribution or density function, we cannot provide specific probabilities or create corresponding graphs.
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The selling price of an item is $650 marked up from the wholesale cost of $450. Find the percent markup from wholesale cost to selling price.
Selling price-Markup=wholesale
$ -$ =$
Markup=percent markup x wholesale cost
= x
the percent is about
Answer: $650 + $450 divide it and then subtract it then it should be the answer X
Step-by-step explanation: answer
3) Consider the following linear equations:
y = x - 4 and -8y = 8x - 32
What are the intercepts of the line y=x-4 ?
x-value of x-intercept _____
y- value of y-intercept _____
Use the distance formula and the pythagorean theorem to find the distance between each pair of points.
M (6, -1) and N (2, -8)
the distance is: ?
Answer:
The Distance is 8
Step-by-step explanation:
1/3+ 1/8 show your work a with equation
please hurry
Answer: 11/21
Step-by-step explanation:
Answer:
11/24 or 0.453
Step-by-step explanation:
1/3 + 1/8
1/3 × 8/8 = 8/24
1/8 × 3/3 = 3/24
8/24 + 3/24 = 11/24
find the missing side. Round it the nearest tenth.
Answer: x= 11√3= 19.0525 = 19.1
Step-by-step explanation:
Let the reference angle be 30
so
cos 30 = b/h
√3/2 = x/22
or, 22√3 = 2x
or. x = (22√3)/2
so, x = 11√3
Answer:
x = 19.1 cm
Step-by-step explanation:
→ Find the name of the side you are not given
Opposite
→ Find a formula without opposite in it
Cos = Adjacent ÷ Hypotenuse
→ Rearrange to make adjacent the subject
Adjacent = Cos × Hypotenuse
→ Substitute in the values
Adjacent = Cos ( 30 ) × 22
→ Simplify
Adjacent = 19.1
I forgor to add the options for the term part, please help!!! 45 points, please only choose from the options..
Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n,” the number of nights can she afford to rent the beach house?
A.n ≤ 6
B. n ≥ 6
C. n 5
Answer:
A.n ≤ 6
Step-by-step explanation:
A. n ≤ 6
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what is ""27.430"" in expanded form
The expanded form of the number 27.430 is 20 + 7 + 0.400 + 0.30.
What is an expanded form?A billing statement is a recurring statement that details every transaction made on your credit card account during the billing cycle, including purchases, payments, and other debits and credits. Every month or so, your credit card company will send you a billing statement.
Given that the number is 27.430. The expanded form of the number is written as:-
Expanded form:-
27.430 = 20 + 7 + 0.400 + 0.30.
When we add all the values of the expanded form we will get the previous value.
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y is inversely proportional to the square root of x. When y=7, x= 2.25. Write y in terms of x.
Answer:
y(x)=10.5/sqrt(x)
Step-by-step explanation:
Since y is inversely proportional to the square root of x, it can be written as y=a/sqrt(x). To compute a, we will use the point given in the question (2.25,7). 7=a/sqrt(2.25), a=10.5. The function is y(x)=10.5/sqrt(x)
600 students were going on a field trip.
Lunches had to be prepared for them.
Altogether what was the TOTAL number of food and drink items used if each student received:
3 juices
2 pieces of fruit
2 burritos
2 bags of Doritos
1 milk
Answer:
6,000 total items
Step-by-step explanation:
3*600=1800 (total juice)
2*600=1200 (total fruit)
2*600=1200 (total burritos)
2*600=1200 (total doritos)
1*600=600 (total milk)
1800+1200+1200+1200+600=6000
A carton of apples weighs 25.7 pounds. Michael orders 21 cartons. How much did all the cartons weigh?
Answer:
539.7
Step-by-step explanation:
Multiply 25.7 to 21 to get the answer.
Answer:
539.7 pounds
Step-by-step explanation:
you have 21 cartons and each one weights 25.7 pounds so you do 21•25.7=539.7
The angle that is an alternate interior angle with 8 is angle
Answer: 5
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What are the factors of a(3+ y)
Answer:
2 factors.
Step-by-step explanation:
A factor is something which is multiplied by something else. (It can be a variable, number or term).
In this example, there are 2 factors: a & (3+y).
Hope this helps! Have a great day!
What adds to the bottom number but also multiplies to be the top?
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Answer:
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The value of the transformed function will increase by factors 3 and 4.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the function,
f(x)=|x+2|
The graph of this function has been attached below.
Now,
g(x)=3f(x)+4,
The value of g(x) will be 3 times and 4 terms more than f(x).
Therefore, the graph of g(x) is stiffer than f(x).
Hence "The value of the transformed function will increase by factors 3 and 4".
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Your uncle wants to create a dog small enough to fit into a purse. Of the hundreds of dogs on his farm, he breeds only the smallest 10% of them. He then breeds only the smallest 10% of their offspring, and continues to breed only the smallest 10% of each generation. Over 20 years, he observes that his group of dogs did become smaller (though not small enough to fit into a purse). Which line of support does he have that his dogs have evolved?.
A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.
The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.
Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.
In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.
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the radius of the sphere is 10 units. what is the approximate volume of the sphere? use and round to the nearest whole cubic unit. 42 cubic units 126
The volume of a sphere with radius 10 units was found to be approximately 42 cubic units.
The volume of a sphere can be calculated using the formula:
V = (4/3) * π * r^3
Where, r is the radius of the sphere. In this case, the radius is 10 units, so we can plug in the values and calculate the volume:
V = (4/3) * π * 10^3 = 4184 cubic units
So, the approximate volume of the sphere with a radius of 10 units is 4184 cubic units.
Rounding off to the nearest whole cubic unit, 4184 cubic units becomes 42 cubic units.
Volume of a sphere is the amount of space inside a sphere.
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Use the equation to complete the table
y=2x+5
X: -2 : -1 : 0 : 1 : 2
Y: ? : ? : ? : ?
What is the slope [ ] and y-intercept [ ]of the equation?
A car can cover distance of N kilometers per day. How many days will it take to cover a route of length M kilometers? The program gets two numbers: N and M. Utilize a function days (n,m) that returns the number of days to cover the route. Restrictions: No math methods or if statements may be used. Example input 700 750 Example output
It will take 2 days for the car to cover the route.
To determine how many days it will take a car to cover a route of length M kilometers, we need to use the given formula:
Distance = Rate × Time
where distance is M kilometers, and rate is N kilometers per day.
We want to find the time in days.
Therefore, rearranging the formula, we have: Time = Distance / Rate
Substituting the given values, we get: Time = M / N
Therefore, the function days(n, m) that returns the number of days to cover the route can be defined as follows: def days(n, m): return m / n
Now, let's use this function to calculate the number of days it will take for a car that covers a distance of 700 kilometers per day to cover a route of length 750 kilometers:
days(700, 750) = 1.0714...
Since the number of days should be a whole number, we need to round up the result to the nearest integer using the ceil function from the math module: import mathdef days(n, m): return math.ceil(m / n)
Now, we can calculate the number of days it will take for a car that covers a distance of 700 kilometers per day to cover a route of length 750 kilometers as follows: days(700, 750) = 2
Therefore, it will take 2 days for the car to cover the route.
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HElp Will give brainiest PLS HELP!!!!
1. Which product is negative?
a. −6⋅(−7)⋅(−8)⋅0
b. −2⋅(−7)⋅12⋅(4)
c. −3⋅(−2)⋅(−4)⋅(−7)
d. 4⋅(−9)⋅(−3)⋅(−1)
2. Multiply.
−3⋅7
a. −21
b. −11
c. 11
d. 21
3.Multiply.
(−17)⋅(−6)
a. −102
b. −23
c. 23
d. 102
4. What is the product?
−5⋅(−3)⋅(−8)
a. −120
b. −16
c. 16
d. 120
5. What is the product?
i've asked 55 students on monday whether they did their homework over the weekend. 17 of them said they did. find a 67% confidence interval for the proportion of students who will tell me that they did their homework over the weekend.
We are 67% confident that the proportion of students who are tell me that they did their homework over the weekend.0.087 with a margin of error of 0.0175
Find the confidence interval ?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.
Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
87/1000 = 0.087
We have a 67% confidence level that the percentage of left-handed students is 0.087, with a 0.0175 margin of error.
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In science, a theory Multiple Choice is tested by an experiment. is more narrow in scope than a hypothesis. encompasses many hypotheses. cannot be tested. is held to be an absolutely correct answer to a question.
The correct option is that in science, a theory encompasses many hypotheses.
In science, a theory is a well-established explanation that is supported by scientific evidence and is extensively tested through experimentation and observation.
It's a big idea that includes several connected hypothese that have been thoroughly investigated and found to be true. A theory that hasn't been put to the test is called a hypothesis.
A hypothesis is a proposed explanation that is subject to further testing. It's an untested hypothesis that hasn't yet undergone experimental validation. Theories are the result of a drawn-out and labor-intensive process of experimentation and observation.
They can never be established as an absolute answer to a scientific problem. Instead, they lay the groundwork for additional investigation and experimentation in that field of study.
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it took elijah 2.4 hours to run 13.8 miles. how many miles did he run each hour if he maintained a constant speed?
Step-by-step explanation:
Elijah runs at constant speed
2.4 hours -----------> 13.8 miles
1 hour ---------------> 13.8/2.4
1 hour ---------------> 5.75 miles
Elijah run 5.75 miles in each hour at constant speed
Which is the smallest fraction represented?
A: 8/9
B: 5/9
C: 2/9
D: 1/9
Answer:
d
Step-by-step explanation:
when fractions have the same whole which here is 9 you can just look at the first letters
so one is the smallest
Answer:
1/9 or D
Step-by-step explanation:
8/9 = About 0.89 = 89%
5/9 = About 0.56 = 56%
2/9 = About 0.22 = 22%
1/9 = About 0.11 = 11%
The reason it is D is that it has a low fraction, decimal number, and percent.