Answer:16
Step-by-step explanation: 4 x 4 because a square has 4 sides and each side is 4cm because each side is the same measurements
4x+5/6 = 7/2
solve for x
Answer:
4x=7/2-5/6
4x=21-5/6
4x=16/6
x=8/12
x=2/3
x=0.6666.....
Find the largest six digits number which is divisible by 120 exactly.
Answer:
999,960
Step-by-step explanation:
let x be a multiple of 120
120x ≤ 999,999
999,999 / 120 = 8333.325
8333 ≤ x ≤ 8334
8333(120) = 999,960
8334(1200) = 1,000,080 this is a 7-digit number
Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960
Scientists discover a new plant that might belong to the same genus as the horsetail. Which characteristic would provide the best evidence to support this hypothesis
To determine if the newly discovered plant belongs to the same genus as the horsetail, scientists would look for characteristic(s) that provide the best evidence to support this hypothesis. Here are some key characteristics that could be examined:
1. Morphological similarities: Comparing the physical characteristics and overall morphology of the newly discovered plant with known horsetails would provide important evidence. Scientists would analyze features such as the arrangement and structure of leaves, stems, roots, and reproductive structures (such as cones or spores). If the new plant shares significant similarities in morphology with horsetails, it suggests a closer relationship.
2. Genetic analysis: Conducting genetic studies, such as DNA sequencing or molecular markers, can provide strong evidence of evolutionary relationships. By comparing the genetic information of the new plant with that of horsetails, scientists can identify shared genetic traits that indicate a common ancestry. Similarities in DNA sequences or genetic markers would support the hypothesis of belonging to the same genus.
3. Evolutionary history: Investigating the evolutionary history and phylogenetic relationships of horsetails and the new plant can provide valuable insights. By examining the fossil record and constructing phylogenetic trees, scientists can determine the evolutionary relationships between different plant species. If the new plant shares a more recent common ancestor with horsetails compared to other plant groups, it supports the hypothesis of belonging to the same genus.
4. Reproductive compatibility: Assessing the reproductive compatibility between the new plant and horsetails can provide evidence of their relationship. If they can successfully hybridize or have compatible reproductive structures, it suggests a close evolutionary relationship and supports the hypothesis of belonging to the same genus.
5. Chemical composition: Analyzing the chemical composition of the new plant and comparing it with horsetails can provide additional evidence. Similarities in chemical compounds, such as secondary metabolites or bioactive compounds, can indicate a closer relationship and support the hypothesis.
It is important to consider multiple lines of evidence and conduct thorough investigations to support the hypothesis that the new plant belongs to the same genus as horsetails. A combination of morphological, genetic, evolutionary, reproductive, and chemical evidence would provide a more robust and conclusive assessment of their relationship.
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x+4y=-4, x+10y=-16, solve using systems of equations, elimination
Answer:
x = 4
y = -2
Step-by-step explanation:
x + 10y = -16
-x -4y = 4 <-- ( multiplied x+4y=-4 with -1 so the x's cancel)
6y = -12
y = -2
put -2 back in the equation to get x
x + 10y = -16
x -20 = -16
x = 4
Can somebody help me with this plz? It’s timed
Answer:
D) a= u-2b over 4
im not totally sure but i think thats it
\(4a - 2b = u \\ 4a = u + 2b \\ a = \frac{u + 2b}{4} \)
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=70°, and EF = 4.4 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
1.6
Step-by-step explanation:
Answer:
1.6 degrees
Step-by-step explanation:
What is the slope of the line that passes through the points (13,-8) and (-11,4)
Answer:
- \(\frac{1}{2}\)
Step-by-step explanation:
Find slope using the slope formula : \(\frac{y2-y1}{x2-x1}\)
Plug in the given points : \(\frac{4- (-8)}{-11-13}\)
Add the numbers : \(\frac{12}{-11-13}\)
Calculate the difference : \(\frac{12}{-24}\)
Reduce the fraction : -\(\frac{1}{2}\)
Solution : -\(\frac{1}{2}\)
What is the equation of line l
Answer:
Step-by-step explanation:
B
A website on animal tricks had 143,699 hits on Monday. What is this number rounded to the nearest ten thousand?
Answer:
140,000
Step-by-step explanation:
We know that the number is 143,699.
We are asked to round to the nearest ten thousand, which is the number bolded:
143,699
This means we have to look at the number to the right of the 4, which is 3. If this number is below "5", then we round down to get 140,000.
If this number was (and it's NOT) above "5" or "5" itself, we would round up to 150,000.
Since "3" is below "5", we would round down to 140,000.
Hope this helps! :)
In January and February of this year, the store made $2,500 from sales of accessories and services. a. Let x represent the amount the store will make from sales of computer products from March through December. Write an equation (slope-intercept form) that represents the predicted amount y that the store will make from sales of accessories and services x for the entire year. Y = 0.05x+2,500 b. If Enrique predicts sales from accessories and services for the entire year will be $5,000, use your equation to determine how much money must be made from computer product sales from March through December. Just your answer by showing our work on explaining our thinking
The equation that represents the predicted amount y that the store will make from sales of accessories and services x for the entire year is y = 0.05x + 2500
As it is given that Enrique can make extra money from the sales of services and accessories for computer products sold by his store and the store makes x dollars selling computer products, he predicted to the store will make 0.05x dollars ($0.05) from selling accessories.we consider x to be dollars of selling computer products, in the month of January and February of this year, the stored made $2,500 from sales of accessories and services.
so the linear equation will be : y = 0.05x + 2500
If sales from accessories and services for the entire year will be $5,000, then the equation will be :
y = 0.05x + 5000
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briefly explain the goal for defining and measuring variability. a measure of variability describes the degree to which the scores in a distribution are . variability also measures the .
Variability provides a quantitative measure of the differences between scores in a distribution and describes the degree to which the scores are spread out to clustered together. The purpose for measuring variability is to obtain an objective measure of how the scores are spread out in a distribution
What is variability ?Variability also measure how accurately individual score or sample represent the entire population
When the standard deviation is 0 , the scores have no variability.
Variability describes how far the data points are from each other and from the center of the distribution. In addition to measures of central tendency, measures of variability provide descriptive statistics that summarize the data.
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The total variance is $35,000. The total materials variance is $14,000. The total labor variance is twice the total overhead variance. What is the total overhead variance?.
The total overhead variance is $7,000
What is variance?
Data points' variance from the mean is a measure of how they vary. A variance, according to Layman, is a measurement of how widely apart a collection of data (numbers) are from their mean (average) value.
Finding the predicted difference of departure from the actual number is what is meant by variance. As a result, variance is influenced by the data set's standard deviation.
Data is more dispersed from its mean the higher the variance value, and less dispersed from mean if the variance value is low or minimal. As a result, it is referred to as a measure of data dispersion from mean.
Total labor and overhead variance = 35000-14000 = 21000
Total overhead variance = 21000/(2+1)*1 = 7000
Thus, total overhead variance is $7,000
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What are the factors of x2 3x – 4? (x 4) and (x – 4) (x 3) and (x – 4) (x 4) and (x – 1) (x 3) and (x – 1).
The factors of the quadratic expression x² + 3x - 4 are (x + 4) and (x - 1).
To find the factors of the quadratic expression x² + 3x - 4, we need to factorize it.
Let's consider each option and determine if it is a valid factorization:
Option 1: (x + 4) and (x - 4)
If we multiply (x + 4)(x - 4), we get x² - 16, which is not equal to the original expression x² + 3x - 4.
Therefore, this option is incorrect.
Option 2: (x + 3) and (x - 4)
If we multiply (x + 3)(x - 4), we get x² - x - 12, which is not equal to the original expression x² + 3x - 4.
Therefore, this option is also incorrect.
Option 3: (x + 4) and (x - 1)
If we multiply (x + 4)(x - 1), we get x² + 3x - 4, which is exactly equal to the original expression.
Therefore, this option is the correct factorization of x² + 3x - 4.
Option 4: (x + 3) and (x - 1)
If we multiply (x + 3)(x - 1), we get x² + 2x - 3, which is not equal to the original expression x² + 3x - 4.
Therefore, this option is also incorrect.
In conclusion, the factors of the quadratic expression x² + 3x - 4 are (x + 4) and (x - 1).
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Complete question =
What are the factors of x² + 3x - 4?
(x + 4) and (x – 4)
(x + 3) and (x – 4)
(x + 4) and (x – 1)
(x + 3) and (x – 1)
How much was your loan
through capital One if you
paid $1200 in interest at a
rate of 1.5% for 5 years?
Answer:
Your loan was for $16,000.
Step-by-step explanation:
The formula for simple interest is i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
If i = prt, then p = i / (rt)
Here, p = ($1200) / 0.075 = $16,000
Your loan was for $16,000.
A principal of 2600 has invested 5.75 interest compounded annually. how much will the investment be after 5 years
28.75. because if you multiply the 5.75 interest rate by the 5 years you would get 28.75 5years later.
In the Diagram, BD bisects ABC. Find x given the following.
Answer:
1. x=21.8 2. x-= -103
Step-by-step explanation:
La Sra.Elena y el Sr.Eulalio,abortan taxis diferentes de la misma empresa el costo del servicio es un importe fijo de salida (banderazo) mas otra cantidad por los kilometros recorridos.Si la SraElena paga $190 por recorrer 8 km y el Sr Eulalio paga $130 por correr 5 km calcular el costo de banderazo y el costo por kilometro recorrido
Answer:
$ 30
$ 20
Step-by-step explanation:
Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.
De la pregunta obtenemos las dos ecuaciones
\(x+8y=190\quad ...(i)\)
\(x+5y=130\quad ...(ii)\)
Aplicando \((i)-(ii)\)
\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)
Sustituyendo en \((ii)\)
\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)
Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.
experiments were conducted in the lab to determine the moisture resistance of an asphalt mixture. the tensile strength test results for conditioned and unconditioned asphalt mixture samples are given below. what is the tensile strength ratio (tsr) in percentage for this asphalt mixture (round to the nearest whole number)? tensile strength of conditioned samples: sample 1
The tensile strength ratio (TSR) in percentage for this asphalt mixture is 1.3533.
Given that,
Tensile strength of the three conditioned samples is 176 psi, 180 psi, and 184 psi, respectively.
Tensile strength of the three unconditioned samples is 136 psi, 133 psi, and 130 psi, respectively.
To find : Tensile strength ratio (TSR) in percentage for asphalt mixture
Tensile Strength Ratio =
Tensile Strength Ratio of Conditioned Samples/Tensile Strength Ratio of UnConditioned Samples
Average Tensile Strength
Conditioned Samples- (180+184+176) /3
=180 psi
Unconditioned Samples - (130+ 133 + 136)/3
=133 psi
Tensile Strength Ratio=180/133
=1.3533
Hence, The tensile strength ratio (TSR) in percentage for this asphalt mixture is 1.3533
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Can someone help me with this please.
Answer: 320 Liters of water were used.
Step-by-step explanation:
Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Also let A = {1, 3, 5, 7, 9} and B = {2, 4, 5, 6, 7}.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
A = {1, 3, 5, 7, 9}
B = {2, 4, 5, 6, 7}.
A = {1, 3, 5, 7, 9}
B' = {1,3,8,9,10}
A U B' = {1,3,5,7,8,9,10}
Answer:
A U B' = {1,3,5,7,8,9,10}
Solve the initial-value problem.dx/dt = -5x - ydy/dt = 4x - yx(1) = 0, y(1) = 1
The solution to the initial-value problem is x = (1/5) * exp(-5t+5), y = 2(1/5) * exp(-5t+5) + exp(t).
To solve the initial-value problem, we have the following system of differential equations:
dx/dt = -5x - y
dy/dt = 4x - y
Let's solve it step by step using the method of solving systems of linear differential equations.
Solve the first equation: dx/dt = -5x - y.
To solve this first-order linear ordinary differential equation, we can use an integrating factor. The integrating factor is given by exp(∫-5 dt), which simplifies to exp(-5t).
Multiply both sides of the equation by the integrating factor:
exp(-5t) * dx/dt = exp(-5t)(-5x - y)
Now, apply the product rule on the left-hand side and simplify:
d/dt (exp(-5t) * x) = -5exp(-5t) * x - exp(-5t) * y
Integrate both sides with respect to t:
∫d/dt (exp(-5t) * x) dt = ∫(-5exp(-5t) * x - exp(-5t) * y) dt
This simplifies to:
exp(-5t) * x = ∫(-5exp(-5t) * x) dt - ∫(exp(-5t) * y) dt
The integrals on the right-hand side can be evaluated as follows:
exp(-5t) * x = -exp(-5t) * x - (1/5)exp(-5t) * y + C1
Simplifying further:
exp(-5t) * x + exp(-5t) * x + (1/5)exp(-5t) * y = C1
Combine like terms:
2exp(-5t) * x + (1/5)exp(-5t) * y = C1
2x + (1/5)y = C1 * exp(5t)
This is the solution to the first equation.
Solve the second equation: dy/dt = 4x - y.
We can use a similar approach. Multiply both sides of the equation by exp(-t):
exp(-t) * dy/dt = exp(-t)(4x - y)
Integrate both sides with respect to t:
∫d/dt (exp(-t) * y) dt = ∫(4exp(-t) * x - exp(-t) * y) dt
This simplifies to:
exp(-t) * y = ∫(4exp(-t) * x) dt - ∫(exp(-t) * y) dt
The integrals on the right-hand side can be evaluated as follows:
exp(-t) * y = 4∫(exp(-t) * x) dt - ∫(exp(-t) * y) dt
This simplifies to:
exp(-t) * y + exp(-t) * y = 4∫(exp(-t) * x) dt
Combine like terms:
2exp(-t) * y = 4∫(exp(-t) * x) dt
Integrate the right-hand side:
2exp(-t) * y = 4(∫(exp(-t) * x) dt + C2)
Simplifying further:
2y = 4x + 4C2 * exp(t)
Divide by 2:
y = 2x + 2C2 * exp(t)
This is the solution to the second equation.
Apply initial conditions:
From the given initial conditions, we have x(1) = 0 and y(1) = 1.
Using x(1) = 0:
2x + (1/5)y = C1 * exp(5t)
2(0) + (1/5)(1) = C1 * exp(5(1))
1/5 = C1 * exp(5)
C1 = (1/5) * exp(-5)
Using y(1) = 1:
y = 2x + 2C2 * exp(t)
1 = 2(0) + 2C2 * exp(1)
1 = 2C2 * exp(1)
C2 = 1 / (2 * exp(1))
Now we have the specific values for C1 and C2. The solution to the initial-value problem is:
x = (1/5) * exp(-5t) * exp(5)
y = 2x + 2 * (1 / (2 * exp(1))) * exp(t)
Simplifying further:
x = (1/5) * exp(-5t+5)
y = 2(1/5) * exp(-5t+5) + exp(t)
These are the solutions for x(t) and y(t) that satisfy the given initial conditions.
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Colin's puppy, Squeeker, weighed 1.5 pounds at his first vet visit. When Squeeker was a year old, he weighed 7.5 pounds. What percent did Squeeker's weight increase between the two visits? *
Squeeker initial weight is 1.5
After a year, Squeeker new weight is 7.5
\(\begin{gathered} \text{percentage increase =}\frac{change\text{ in weight }}{\text{ intial weight}}\text{ }\times\text{ 100 \%} \\ \text{ change in weight= new weight - initial weight = 7.5 - 1.5 =6.0} \end{gathered}\)\(\begin{gathered} \text{percentage increase = }\frac{6.0}{1.5}\text{ }\times\text{ 100 \%} \\ =\text{ 4}\times\text{ 100\% = 400\%} \end{gathered}\)I NEED HELP ASAP WHAT IS THE NEXT STEP FOR THIS EQUATION
The correct next step for the equation \(x^2 - 8x + 12 = 0\) is D)\(x^2 - 4x - 3x - 12 = 0\).. Option D
To simplify the equation\(x^2 - 8x + 12 = 0\), we need to break down the middle term, -8x, into two terms whose sum is -8x and whose product is the same as the product of the first and last terms, \(x^2 * 12 = 12x^2.\)
Let's examine the given options:
A)\(x^2 - 6x - 2x + 12 = 0\)
This option separates the -8x term into -6x and -2x, which adds up to -8x. However, the product of -6x and -2x is \(12x^2,\) not 12. Therefore, option A is incorrect.
B) \(x^2 + 6x + 2x + 12\) = \(x^2 + 6x + 2x + 12 = 0\)
This option also separates the -8x term into 6x and 2x, which adds up to 8x. Additionally, the product of 6x and 2x is 12x^2, not 12. Therefore, option B is also incorrect.
C)\(x^2 - x - 12x + 12 = 0\)
This option separates the -8x term into -x and -12x, which adds up to -13x. However, the product of -x and -12x is 12x^2, not 12. Therefore, option C is incorrect.
D) \(x^2 - 4x - 3x - 12 = 0\)
This option separates the -8x term into -4x and -3x, which adds up to -7x. The product of -4x and -3x is indeed 12x^2. Therefore, option D is the correct next step. Option D
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An ant can crawl 4/5 yard in 1 minute. How long will it take for it to crawl 12 yards?
Answer:
15 minutes
Step-by-step explanation:
Divide 12 yards by 4/5 yards.
12 ÷ 4/5 =
12 * 5/4 =
15
Thus, it would take the ant 15 minutes to crawl 12 yards.
T/F. if you have 23 people in a room, there is a 50% chance that 2 of them have the same birthday.T
The statement 'if you have 23 people in a room, there is a 50% chance that 2 of them have the same birthday' is True.
The Birthday Paradox states that with 23 people in a room, there is a 50% chance that two of them have the same birthday . This may seem counterintuitive, but the math behind it works as follows:
Calculate the probability that everyone has a different birthday.
Subtract that probability from 1 to get the probability that at least two people share a birthday.
There are 365 possible birthdays for the first person.
For the second person to have a different birthday, there are 364 remaining options.
For the third person, 363 remaining options, and so on.
The probability of everyone having different birthdays is calculated as:
(365/365) × (364/365) × (363/365) × ... × (343/365)
1 - (calculated probability) = probability that at least two people share a birthday
Using this calculation, the probability is approximately 50% that two people have the same birthday with 23 people in the room.
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Melissa's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Melissa $4.35 per pound, and type B coffee costs $5.70 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $614.25. How many pounds of type A coffee were used?
Answer:
well let’s break this down
Let’s make type a coffee “a”
And type b coffee “b”
a is 4.35
b is 5.70
We knwo that b is twice as many as a
The total is 614.25
So we can do soemthing like this
4.35a+ (5.70b)2 = 614.25
Now solve
If we simplify its really
4.35a+11.40b =614.25
I like multiply by a 100 to get rid of decimals
435a+1140b=61425
Here we can go 2 ways
We can isoalte a or b
im gonna isloate b
so it would be (61425-435a)/1140 =b
Now we can use that as a subsitube to find a
Now we can just do this
435a +1140(61425-435a)/1140 = 61425
Pop it through an algebra calculator (just search up math pa..Pa and copy paste it, edit if needed) and then you’d get your answer
please answer
✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️
Answer:
1) 1 or undefined
2) 4
3) exponents
4) squared; cubed
5) can't read the question
True or False
1) True, as long as: a ≠ 0
2) False, should be (a^5)(b^5)
3) True
Step-by-step explanation:
5) if base is negative and raised to a power of without parenthesis like -4², the negative sign stays on the expression, so it'll equal to -16
However, if the base is negative and has parenthesis, like (-4)² then the negative sign will be multiplied too, resulting in 16.
-4² = -(4)*(4)
(-4)² = (-4)*(-4)
How to do Proportion relationships
Answer:
The equation that represents a proportional relationship, or a line, is y = k x, where is the constant of proportionality.
Step-by-step explanation:
math.
skillz.
do three dimensional shoes like polyhedra have surface area
Yes, three-dimensional shapes, including polyhedra, have surface area. A polyhedron is a solid figure formed by flat faces, which are typically polygons, such as triangles, squares, or other multi-sided shapes. The surface area of a polyhedron is the total area of all its faces.
To find the surface area of a polyhedron, you must calculate the area of each individual face and then sum up these areas. The process varies depending on the type of polyhedron. For example, to find the surface area of a cube, you would calculate the area of one square face (side length squared) and multiply it by the number of faces (6). For a rectangular prism, you would calculate the area of each rectangular face and then add them together.
Other types of polyhedra, such as tetrahedrons or octahedrons, have different methods for calculating surface area, but the principle remains the same: find the area of each face and sum them up. Understanding the surface area of a polyhedron is important in many real-world applications, including architecture, engineering, and design, as it can be used to determine the amount of material needed for construction or the amount of paint required to cover a structure.
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what is 9x187647x27489x638927
Answer:
2.9661582
Step-by-step explanation:
2.9661582e+16 this is the answer