Answer:
4 1/10 or 4.1
Step-by-step:
1 1/2+2 3/5
convert both into an improper fraction
1 1/2 as an improper faction= 3/2
then
2 3/5 as an improper fraction= 13/5
so now we can work the question out as
3/2 + 13/5
which is 41/10
41/10 is an improper faction which is also equal to
4 1/10
Hope this helped you- have a good day bro cya)
a standard six-sided die is rolled twice. what is the probability that the product of the rolls is even?
Answer:
3/4 or 0.75 or 75%----------------------------
The probability of rolling an even number on a single die is 3/6 or 1/2.
Consider the possible outcomes of rolling the two dice:
If both dice are odd, the product will be odd;If both dice are even, the product will be even; If one die is even and one die is odd, the product will be even.So, the only way to not have an even product is if both dice are odd.
The probability of rolling an odd number on a single die is also 1/2, so the probability of rolling two odd numbers is (1/2) x (1/2) = 1/4.
Therefore, the probability of rolling an even product is:
1 - 1/4 = 3/4 = 0.75 or 75%Find the volume
of the figure below:
Step-by-step explanation:
Use Pythagorean theorem to find the base of the right triangle
221^2 = 195^2 + b^2
b = 104 km
triangle area = 1/2 base * height = 1/2 * 104 * 195 = 10140 km^2
Now multiply by the height to find volume
10140 km^2 * 15 km = 152100 km^3
Write the integer that represents the opposite of each situation. 100 feet above sea level
Hey there!
If it’s ABOVE sea level it usually means it’s BIGGER than 0 and if you’re BELOW sea level it usually means it’s SMALLER than 0.
Positives turns into negatives and negatives turns into positive
Above opposite is Below and Below opposite is Above
Thus, this means “100 feet ABOVE sea level” will probably -100 feet BELOW sea level”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Jan bought 3 yards of fabric to make pillows. The total cost was $22.74. What was the cost per yard of fabric in dollars?
Answer: $7.58
Step-by-step explanation:
22.74 / 3 = $7.58
what is the estimated height of a building with six stories? does the least squares line give an accurate estimate of height? explain why or why not.
if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height.
The estimated height of a building with six stories would depend on the average height of each story, which can vary depending on the building's design and construction materials. However, a general rule of thumb is that each story in a building is typically between 10 and 14 feet in height, which would put a six-story building between 60 and 84 feet tall.
As for whether the least squares line gives an accurate estimate of height, that would depend on the data being used to generate the line. The least squares method is a statistical technique used to find the line of best fit for a set of data points, with the goal of minimizing the sum of the squared distances between each data point and the line.
If the data used to generate the line is representative of the population of buildings with six stories, then the least squares line should provide a reasonably accurate estimate of height. However, if the data is skewed or otherwise biased, the least squares line may not accurately represent the true relationship between the number of stories and building height. Therefore, it is important to carefully examine the data and consider potential biases before using the least squares method to make predictions.
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the different between the product 78 and 36 and their sum
Answer: 42 and 114
Step-by-step explanation:
78 - 36 = 42
78 + 36 = 114
A center lane with solid and broken yellow lines that is used by vehicles making left turns in both directions is called a:
A) Two-way Left-Turn lane.
B) Median strip with driving allowed.
C) Shared passing lane.
D) None of these answers.
The center lane with solid and broken yellow lines used by vehicles turning left in both directions is called a Two-way Left-Turn lane. The correct option A. This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.
What is a two-way left-turn lane?A two-way left-turn lane is a center lane with solid and broken yellow lines used by vehicles making left turns in both directions. It is also known as a median lane, a center left-turn lane, and a center two-way left-turn lane.
This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.Only left-turning traffic should use the lane. It's illegal to drive in this lane for more than 300 feet, pass other cars in the lane, or turn left from other lanes when a two-way left-turn lane is present. It is used in order to lessen the amount of crashes and lower traffic congestion in both directions, hence it helps in making the traffic flow smoothly.
A center lane with solid and broken yellow lines used by vehicles turning left in both directions is known as a Two-way Left-Turn lane.
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HELP NEEDED BRAINLIEST AND 5 STAR Is it posible to make a triangle with 3 feet, 8 feet, and 4 feet. Explain why or why not plzzzzzz.z
Answer:
No, IMPOSSIABLE
Step-by-step explanation:
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. In you case 3+4=7. 7 is less than 8.
Which math PROPERTY is this? If 12 = 17 - 5, then 17 - 5 = 12
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
Tip: The symmetric property of equality states that no matter what side the equations and answer are it will still be equal, but it only works for the equal sign.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that 12 = 17 - 5, then 17 - 5 = 12
we need to check which property will be used.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
The symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.
Hence, the math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
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What is square root raised cosine?
SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.
The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.
The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.
The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.
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Which pair shows equivalent expressions?
213x+2) - 23x+1
O 243x+2) = 5x+4
o 213x+4)=x+2
0 23x+4) = 2£x+8
2.
Given:
The pair of expressions in the options.
To find:
The pair that shows equivalent expressions.
Solution:
We have,
\(2\left(\dfrac{2}{5}x+2\right)\)
By using distributive property, we get
\(2\left(\dfrac{2}{5}x+2\right)=2\left(\dfrac{2}{5}x\right)+2(2)\)
\(2\left(\dfrac{2}{5}x+2\right)=\dfrac{4}{5}x+4\)
So, option A is incorrect and option B is correct.
We have,
\(2\left(\dfrac{2}{5}x+4\right)\)
By using distributive property, we get
\(2\left(\dfrac{2}{5}x+4\right)=2\left(\dfrac{2}{5}x\right)+2(4)\)
\(2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8\)
So, options C and D both are incorrect.
Therefore, the correct option is B.
The correct pair of equivalents expressions is B.
Multiplication of expressions
To solve the question, one must have knowledge about the multiplication of expressions.
When you have an expression being multiplied by a value, you multiply all the terms of the expression by that value, so that:
\(a (x + y) = ax + ay\)
Thus, performing this multiplication for all alternatives we have:
a) \(2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4\)
b) \(2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4\)
c) \(2 (\frac{2}{5}x + 4) = \frac{4}{5}x + 8\)
d) \(2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 8\)
So, the only expression that correctly corresponds to the answer is that of alternative B.
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Consider the following.
W = {(5t, t, t): t is a real number}
(a) Give a geometric description of the subspace W of R³.
a plane
a line
a ray
a point
a circle
(b) Find a basis for the subspace W of R³.
(c) Determine the dimension of the subspace W of R3.
The geometric description of the subspace W of R³ is a line. This can be observed from the given set W, which consists of three-dimensional vectors of the form (5t, t, t), where t is a real number.
All the vectors in W have the same x-component (5t), indicating that they lie on a line parallel to the y-z plane. The y-component and z-component (both t) vary freely, but they are always equal. Therefore, W forms a one-dimensional subspace, which can be visualized as a line in three-dimensional space.(b) To find a basis for the subspace W, we need to identify linearly independent vectors that span the subspace. In this case, a suitable basis for W would be {(5, 1, 1)}. This single vector is sufficient to generate all other vectors in W through scalar multiplication.
(c) The dimension of the subspace W of R³ is 1. This can be determined by the number of linearly independent vectors in the basis for W, which is only one. The subspace W is one-dimensional, consisting of all vectors that can be obtained by scaling the basis vector {(5, 1, 1)} with a real number.
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given the following information, the test statistic is n = 49, xbar= 50, s = 7, h0: m => 52 ha: m < 52 the test statistic for the above information is
In this scenario, we are given the following information: sample size (n) is 49, sample mean (P) is 50, sample standard deviation (s) is 7, null hypothesis (H₀) states that the population mean (μ) is greater than or equal to 52, and the alternative hypothesis (Hₐ) states that the population mean is less than 52.
The test statistic for this situation is the t-statistic, which measures the difference between the sample mean and the hypothesized population mean, taking into account the sample size and the sample standard deviation. It is used to assess the evidence against the null hypothesis. In this case, since the alternative hypothesis states that the population mean is less than 52, we have a left-tailed test. To calculate the t-statistic, we use the formula:
t = (P - μ) / (s / √n)
Plugging in the given values:
t = (50 - 52) / (7 / √49) = -2 / (7 / 7) = -2
Therefore, the test statistic for the provided information is -2. This value represents the standardized difference between the sample mean and the hypothesized population mean, accounting for the sample size and standard deviation. It indicates that the sample mean is 2 standard deviations below the hypothesized population mean of 52.
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uh?????????????????????????
Answer:
I'm sure it's 1.2506407mm
Step-by-step explanation:
The lengths of the bases of a trapezoid are 9 meters and 16 meters. The trapezoid has an area of 150 square meters.
What is the height, h, of the trapezoid?
h= 12 m
h= 13.6 m
h= 16.7 m
h= 21.4 m
Answer:
Height of trapezoid = 12 m
Step-by-step explanation:
Area of trapezoid = [(base1+base2)/2] * height
150= [(9+16)/2]* H
H= (150*2)/25
H= 12 m
Answer:
h=10m
Step-by-step explanation:
8/2^7=2^n find the value of n
Answer:
n= -4
Hope this help <3
Which could be the function graphed below?
Step-by-step explanation:
sqrt(x+4)
the answer is in the image above
I will give brainless soo please help Question 1 (5 points)
Saved
(04.01 LC)
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 22 ounces of potato chips for $3.49
Choice B: 40 ounces of potato chips for $4.79
1) Choice A
2) Choice B
3) The unit rates are equal.
4) The unit rates cannot be determined.
Answer:
Estoy muy triste por tener que regalar a mi perro.
The measurement of angle is one-third the measure of its supplement
Let x be one of the angles. We know that the other one is one third of it and we know that they are supplementary, then we have that:
\(\begin{gathered} x+\frac{1}{3}x=180 \\ \frac{4}{3}x=180 \\ x=\frac{180}{\frac{4}{3}} \\ x=135 \end{gathered}\)Once we know the value of x we divide by three to find the second angle:
\(\frac{135}{3}=45\)Therefore one angle is 45° and the other is 135°
Equation is the inverse of y equals 9 x squared minus 4
After considering the equation, inverse of y = \(9x^ {2}\) - 4 is found as \(f^{-1x}\)= ±√[(x + 4)/9].
To find the inverse of the function y = \(9x^{2}\) - 4, we can follow these steps:
Replace y with x and x with y: x = \(9y^{2}\) - 4Solve for y in terms of x:x = \(9y^{2}\) - 4
x + 4 = \(9y^{2}\)
\(y^{2}\) = (x + 4)/9
y = ±√[(x + 4)/9]
Note that since we are finding the inverse of a function, we need to include both the positive and negative square roots to ensure that the inverse is a function.
3. Switch the roles of x and y by replacing y with \(f^{-1x}\) and x with f(y):
\(f^{-1x}\) = ±√[(x + 4)/9]
Therefore, the inverse of y = 9x² - 4 is \(f^{-1x}\) = ±√[(x + 4)/9].
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a university administrator wants to conduct a survey of students to examine textbook costs. the university has eight colleges (business, liberal arts, engineering, etc.) so the administrator decides to sample 50 students from each college. this is an example of what type of sampling method?
A random sample is then drawn from each stratum using the stratified sampling approach, which divides the population into subgroups (strata) depending on certain criteria (stratum).
The university's student body serves as the population in this situation, while the eight schools serve as the subgroups (business, liberal arts, engineering, etc.).
The administrator can reach conclusions regarding the cost of textbooks for each institution by selecting a sample of 50 students from each college to make sure the sample is representative of the varied student body.
This approach is helpful when a population is divided into multiple subgroups and the researcher wants to make sure that the sample fairly reflects each segment.
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Mary and Jim are trying to compare the widths of a window and door. In order to do so, they use strings to measure the widths. They then compare the string lengths to see which one is wider. This is an example of which type of comparison
Answer:
This is an example of comparing two objects indirectly.
Step-by-step explanation:
(d) In order to get the best percentage of materials to produce a good quality of asphalt concrete mix, it needs to have an appropriate mix design. In Malaysia, the asphalt concrete mix is produced based on the Marshall mix design method. From a series of tests and calculations, the following results in Table Q1(d)(i) were obtained. (i) Determine the average binder content. (12 marks)
The average binder content in the asphalt concrete mix can be determined using the Marshall mix design method. Based on the series of tests and calculations conducted, the following results in Table Q1(d)(i) were obtained.
To determine the average binder content, follow these steps:
Step 1: Calculate the bulk specific gravity (Gmb) for each sample.Step 2: Calculate the percent air voids (Va) for each sample.Step 3: Determine the percent voids filled with asphalt (VFA) for each sample.Step 4: Calculate the average VFA for all samples.Step 5: Use the average VFA to determine the average binder content.Here is a breakdown of the steps involved:
1. Calculate the bulk specific gravity (Gmb) for each sample:
Gmb = (Wm / Vm) / (Ww / Vw)Wm: Mass of the compacted specimen in air (grams)Vm: Volume of the compacted specimen (cubic centimeters)Ww: Mass of the specimen in water (grams)Vw: Volume of water displaced by the specimen (cubic centimeters)2. Calculate the percent air voids (Va) for each sample:
Va = [(Gmb / Gmm) - 1] x 100Gmm: Maximum theoretical specific gravity of the asphalt mix3. Determine the percent voids filled with asphalt (VFA) for each sample:
VFA = 100 - Va4. Calculate the average VFA for all samples.
5. Use the average VFA to determine the average binder content.
The Marshall mix design method and performing the necessary calculations using the test results, the average binder content can be accurately determined. This information is crucial in achieving the desired percentage of materials for producing a good quality asphalt concrete mix.
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Write the following as an algebraic expression.
Subtract 3x + 5 from 6x-8.
The answer is
(Simplify your answer.)
Answer:
-0.002
3x+5=6x-8
Answer:
x=1.4
Step-by-step explanation:
6x-8 -3x+5
+3x +3x
So now we have: 9x-8 5 so add 8 on both sides, leaving you with 9x on one and 13 on the other. Now divide 13 by 9, which is 1.4_ so x=1.4
Now do 3 times 1.4 plus 5 and 6 times 1.4 minus 8 and the results you get for each you will need to subtract: (result of 6x-8) - (result of 3x + 5)
GOOD LUCK!!!!!!!!
8z + 15 = -1 | z = ?
Answer:
z = -2
Step-by-step explanation:
Step 1: Write equation
8z + 15 = -1
Step 2: Solve for z
Subtract 15 on both sides: 8z = -16Divide both sides by 8: z = -2Step 3: Check
Plug in z to verify it's a solution.
8(-2) + 15 = -1
-16 + 15 = -1
-1 = -1
dy/dt =y+2u, y(0)=5, u= step change of unity
The solution to the provided differential equation with the initial condition y(0) = 5 and u as a step change of unity is y = -2
The provided differential equation is: \(\[\frac{{dy}}{{dt}} = y + 2u\]\) with the initial condition: y(0) = 5 where u is a step change of unity.
To solve this differential equation, we can use the method of integrating factors.
First, let's rearrange the equation in the standard form:
\(\[\frac{{dy}}{{dt}} - y = 2u\]\)
Now, we can multiply both sides of the equation by the integrating factor, which is defined as the exponential of the integral of the coefficient of y with respect to t.
In this case, the coefficient of y is -1:
Integrating factor \(} = e^{\int -1 \, dt} = e^{-t}\)
Multiplying both sides of the equation by the integrating factor gives:
\(\[e^{-t}\frac{{dy}}{{dt}} - e^{-t}y = 2e^{-t}u\]\)
The left side of the equation can be rewritten using the product rule of differentiation:
\(\[\frac{{d}}{{dt}}(e^{-t}y) = 2e^{-t}u\]\)
Integrating both sides with respect to t gives:
\(\[e^{-t}y = 2\int e^{-t}u \, dt\]\)
Since u is a step change of unity, we can split the integral into two parts based on the step change:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 2\int_{t}^{{\infty}} 0 \, dt\]\)
Simplifying the integrals gives:
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt + 0\]\)
\(\[e^{-t}y = 2\int_{{-\infty}}^{t} e^{-t} \, dt\]\)
Evaluating the integral on the right side gives:
\(\[e^{-t}y = 2[-e^{-t}]_{{-\infty}}^{t}\]\)
\(\[e^{-t}y = 2(-e^{-t} - (-e^{-\infty}))\]\)
Since \(\(e^{-\infty}\)\) approaches zero, the second term on the right side becomes zero:
\(\[e^{-t}y = 2(-e^{-t})\]\)
Dividing both sides by \(\(e^{-t}\)\) gives the solution: y = -2
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PLS HELP I DON’TKNOW WHAT TO DO!!!
Answer:
i
Step-by-step explanation:
you need a teachers help
Hi, I just glitched in these two question about functions, thank you so much if you answer (or tried to)!
10. In the figure, in Cartesian frame xOy, the graphs of two functions f and g are represented.
It is known that the function f is defined by f(x) = x²/2; g is an inverse proportionality function; point A belongs to the graphs of functions f and g; the point B of abscissa 6 and ordinate b belongs to the graph of g.
10.1. Write the algebraic expression of the function g and determine the value of b.
10.2. Determines the algebraic expression of a direct proportionality function whose graph contains point A. (everything has been translated)
Answer:
i think the function of g i can sort of tell that it is a right angle sort of. whoch a right angle is 90 *? and the value of b might be an obtuse angle which i think is equal to 180*? but im not for certain... im sorry i thought this would be easier than i thought but i tryed, i havent learned that yet but were learning degrees. maybe the function of g is up 6 over 5? and b would be up 5 over 6? sorry if thats confusing i tryed to understand it. after i saw the picture a second time i saw a graph so thats why i said up 5 over 6 or up 6 over 5
sorry thought, i thought it might be easier than i thought but i understand what you mean now. its confusing a bit...
i hope you get someone to give you a much better anwser than i did, and have a great day!
A caterer charges a fixed cost for preparing a dinner plus an additional cost for each person served. You know that the cost for 100 students will be $1100 and the cost for 150 students will be $1550. Find the caterer’s fixed cost and the cost per student served. Use a system of equations and solve using elimination or substitution.
Answer:
$10 to $11
Step-by-step explanation:
$1100÷100=$11
$1550÷150=$10.3333333333
____ is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
Height is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
What are horizontal planes?Horizontal plane can as well be described as the plane or surface that can be seen as the one that is parallel to the surface of the earth, , it should be noted that this plane is usually at the at an angle of zero degree hence horizontal plane.
Therefore, the plane is perpendicular to the horizontal plane , hence Height is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.
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