The perimeter of Rosella's new Maura is 24 feet. The moral measures of Rosella's Maura are given as 3.5 feet by 5.5 feet.
To create a new Maura that is 1.5 feet longer, we need to add 1.5 feet to both the length and width of the original Maura.
The new dimensions of Rosella's Maura are (3.5 + 1.5) feet by (5.5 + 1.5) feet, which simplifies to 5 feet by 7 feet.
To find the perimeter of a rectangle, we add the lengths of all four sides. In this case, the perimeter of Rosella's new Maura is:
Perimeter = 2(length + width)
= 2(5 + 7) feet
= 2(12) feet
= 24 feet.
Therefore, the perimeter of Rosella's new Maura is 24 feet.
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40 points
do the values in the table represent a proportional relationship
Answer:
NOT proportional
Step-by-step explanation:
y/x = 5/2 = 2.5
y/x = 6/3 = 2
also 7/4 = 1. 75 and 8/5 = 1.6 so:-
They are NOT proportional
Step-by-step explanation:
PLS TELL ME HOW THIS TRICK WORKED!! I HAVE TO SUBMIT KT SOON!
Answer:
x=2
Step-by-step explanation:
let the unknown number be x
now we are to find x regarding the question as an equation, let's form the equation to solve for x
the interpretation of the question is:
(x² + x)/3 = x
by collecting the like terms:
(x²+ x) = 3x
x² + x = 3x
x² = 3x - x
x² = 2x
x = 2
Answer:
The number you thought to start with, X
Step-by-step explanation:
Magician's secret:
Step 1: Let the original number you thought of be X
Step 2: 2 × x = 2X
Step 3: 2X + X = 3X
Step 4: 3X/3
》X
Miguel will spend at most $30 on gifts. So far, he has spent $12. What are the possible additional amounts he will spend?
Answer:
everything that adds up to 18
Step-by-step explanation:
Answer:
I believe the answer is $18. He will spend at most $30 and he has already spent $12. The possible additional amounts he can spend is $18 since:
30 - 12 = 18
Step-by-step explanation:
(Maybe I got confused with the question, so im not confident that its correct.
I hope it helps!)
Point p is the interior of angle abc. If angle abc=125deg and angle abp=62deg, what is the angle pbc?
Answer: The angle ∠ PBC is 63°.
Step-by-step explanation:
Given: Point P is in the interior of ∠ABC.
∠ ABC = 125°
∠ABP= 62°
To find : ∠ PBC
Since P is in the interior of ∠ABC.
Then
∠ ABC = ∠ABP + ∠ PBC
⇒ 125°= 62°+ ∠ PBC
⇒ ∠ PBC= 125° - 62°
⇒ ∠ PBC= 63°
Hence, the angle ∠ PBC is 63°.
Identify the x-intercept and y-intercept
Answer:
x: -6, y: -2
Step-by-step explanation:
look at the graph, I hope this is the x and y of the lines. It says the answers, but just identify it.
Answer:
(- 6, 0 ) and (0, - 2 )
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
Here x = - 6 ← x- intercept or (- 6, 0) in coordinate form
The y- intercept is the value of y on the y- axis where the line crosses.
Here y = - 2 ← y- intercept or (0, - 2 ) in coordinate form
A recent national survey found that high school students watched an average (mean) of 7.2 movies per month with a population standard deviation of 0.7. The distribution of number of movies watched per month follows the normal distribution. A random sample of 47 college students revealed that the mean number of movies watched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students
The population mean (μ) of high school students watching 7.2 movies per month, with a population standard deviation (σ) of 0.7. The sample size (n) of college students is 47, with a sample mean (x) of 6.2 movies per month.
We want to test if college students watch fewer movies per month than high school students at a 0.05 significance level.
To conduct this hypothesis test, we will use the one-sample z-test. The null hypothesis (H ₀) states that the mean number of movies watched by college students is equal to the population mean of high school students (μ = 7.2). The alternative hypothesis (H₁) states that the mean number of movies watched by college students is less than the population mean of high school students (μ < 7.2).
First, we need to calculate the standard error (SE) using the formula SE = σ/√n, where σ = 0.7 and n = 47. Next, we compute the z-score using the formula z = (x - μ)/SE. Once we have the z-score, we compare it to the critical value corresponding to the 0.05 significance level. If the z-score is less than the critical value, we reject the null hypothesis in favor of the alternative hypothesis.
By performing these calculations, we can determine whether there is enough evidence to conclude that college students watch fewer movies per month than high school students at the 0.05 significance level.
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As a hive of bees makes and uses its honey, the bees are adding honey at a rate described by the function h(t) over the first 2 years, at what time t is the amount of honey in the hive the most? What is the maximum value?
The time at which the amount of honey in the hive is the most, and the corresponding maximum value, can be determined by finding the maximum point of the function h(t) over the first 2 years.
To find the maximum point, we need to analyze the rate of change of h(t). We can start by calculating the derivative of the function h(t) with respect to time (t). Let's denote the derivative as h'(t).
Once we have the derivative, we can set it equal to zero and solve for t to find the critical points of the function. In this case, the critical points represent the times when the rate of honey production is neither increasing nor decreasing.
Finally, we evaluate the function h(t) at the critical points and identify the time t at which the amount of honey in the hive is the most, which corresponds to the maximum value of h(t).
By analyzing the function h(t), we can see that it represents the rate of honey production over time. To determine the exact nature of the function h(t) and obtain the maximum value, we would need the specific form of the function or additional information about the rate of honey production. Without this information, it's challenging to provide a precise answer.
In summary, to find the time at which the amount of honey in the hive is the most and the maximum value, we need the function h(t) that describes the rate of honey production over time. Without this specific information, it is not possible to calculate the maximum point.
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Find the missing endpoint (A) if the midpoint of the line segment AC is B (-3,2) and C is (0,4)
The missing end point A if the midpoint of the line segment AC is B (-3,2) and C is (0,4) is (-6, 0)
How to find the end point using mid point?A midpoint is a point lying between two points and is in the middle of the line joining the two points.
Therefore, the mid point between AC is B.
Using mid point formula we can find the end point of A.
Hence,
(x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Therefore, B(-3, 2) and C(0, 4)
(-3, 2) = (x₁ + 0 / 2, y₁ + 4 / 2)
Hence,
(-3, 2) = ( x₁ / 2, y₁ + 4 / 2)
x₁ / 2 = -3
cross multiply
x₁ = - 3 × 2
x₁ = -6
y₁ + 4 / 2 = 2
cross multiply
y₁ + 4 = 4
y₁ = 4 - 4
y₁ = 0
The missing endpoint A is (-6, 0)
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mcgregor believed that theory x assumptions were appropriate for:
Douglas McGregor believed that the Theory X assumptions were appropriate for traditional and authoritarian organizations.
Theory X is a management theory developed by Douglas McGregor, a management professor, and consultant. It is based on the idea that individuals dislike work and will avoid it if possible. As a result, they must be motivated, directed, and controlled to achieve organizational goals. The assumptions of Theory X are as follows:
Employees dislike work and will try to avoid it whenever possible. People must be compelled, controlled, directed, or threatened with punishment to complete work. Organizations require rigid rules and regulations to operate effectively. In conclusion, Douglas McGregor believed that Theory X assumptions were appropriate for traditional and authoritarian organizations.
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True or false: λ is an eigenvalue of a matrix A if A â λI has linearly independent columns
False.
if A - λI has linearly dependent columns, then λ is an eigenvalue of A.
The statement is not true. In fact, the opposite is true: if A - λI has linearly dependent columns, then λ is an eigenvalue of A.
To see why, let's assume that A - λI has linearly dependent columns. This means that there exist non-zero constants c1, c2, ..., cn such that:
c1(A - λI)[:,1] + c2(A - λI)[:,2] + ... + cn(A - λI)[:,n] = 0
where [:,i] denotes the ith column of the matrix. We can rewrite this as:
(A(c1,e1) + A(c2,e2) + ... + A(cn,en)) - λ(c1,e1) - λ(c2,e2) - ... - λ(cn,en) = 0
where ei is the ith standard basis vector. This can be simplified to:
A(c1,e1) + A(c2,e2) + ... + A(cn,en) = λ(c1,e1) + λ(c2,e2) + ... + λ(cn,en)
or
A(c1,e1) + A(c2,e2) + ... + A(cn,en) - λ(c1,e1) - λ(c2,e2) - ... - λ(cn,en) = 0
which shows that λ is an eigenvalue of A, with corresponding eigenvector v = [c1, c2, ..., cn]^T.
Therefore, if A - λI has linearly dependent columns, then λ is an eigenvalue of A.
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Part of the population of 6,750 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 9 of them are infected. How many elk are likely to be infected?
When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.
Calculation of the number of elk:Since the population is 6,750.
The random sample is 50.
So here be like
\(6750\) ÷ \(50\) × \(9\)
= 1,215
hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.
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A college has a student hangout called
"The Lawn” where students play
ultimate frisbee, soccer, or just hang
out. The lawn is 84 ft long and 50 ft
wide. One student is in a hurry to get to
class and must walk to the opposite
corner of the field, as shown by the red
line below. How far does he walk?
Round to the nearest tenth.
Answer:
134
Step-by-step explanation:
first you have to add
Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample A in meters? Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample B in meters? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively?
1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters
2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters
Since we know that the wavelength = speed of light / frequency
The speed of light is 3.00 × \(10^8\) meters per second.
For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;
wavelength of A = (3.00 × \(10^8\) m/s) / (4.30 × 10^15 Hz)
wavelength of A = 6.98 × \(10^{-8}\) meters
For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;
wavelength of B = (3.00 × \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)
wavelength of B = 3.45 × \(10^{-11}\) meters
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Select the correct answer. which expression is equivalent to this quotient?
An expression which is equivalent to given \(\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }\) is 5 / (z + 5)
The correct answer is an option (B)
Consider given quotient.
\(\frac{\frac{1}{z+5} }{\frac{z+3}{5z+15} }\)
Consider expression 5z + 15
We can write this expression as 5(z + 3) by taking out the common factor 5.
So given quotient would be,
\(\frac{\frac{1}{z+5} }{\frac{z+3}{5(z+3)} }\)
As we know a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator.
For fraction \(\frac{z+3}{5(z+3)}\) , the common term is z + 3.
So, \(\frac{z+3}{5(z+3)} = \frac{1}{5}\)
We know that for fractions a/b and c/d where b ≠ 0, d ≠ 0, if we take quotient of these fraction then that would be,
(a/b) / (c/d) = (a/b) × (d/c)
So, given quotient would be,
\(\frac{\frac{1}{z+5} }{\frac{1}{5} }\\\\\\=\frac{1}{z+5} \times \frac{5}{1} \\\\\\=\frac{1\times 5}{(z + 5)\times 1}\)
= 5 / (z + 5)
Therefore, an equivalent expression is: 5 / (z + 5)
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the time between visits to a u.s. emergency room for a member of the general population follows an exponential distribution with a mean of 2.5 years. what proportion of the population:
Using the exponential distribution, it is found that the proportion of the population that will visit an emergency room in the next six months is of 0.1813 = 18.13%.
Exponential distributionThe exponential probability distribution, with mean m, is described by the following mass function:
\(f(x) = \mu e^{-\mu x}\)
In this function, \(\mu = \frac{1}{m}\) represents the decay parameter.
The probability that x is lower or equal to a is given by:
\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)
The solution of the definite integral gives the cumulative mass function as follows:
\(P(X \leq x) = 1 - e^{-\mu x}\)
In this problem, the mean is of 2.5 years, hence the decay parameter is calculated as follows:
\(\mu = \frac{1}{2.5} = 0.4\)
The proportion of the population that will visit the emergency room in the next six months is P(X < 0.5), as 6 months = 0.5 years, hence:
\(P(X \leq 0.5) = 1 - e^{-0.4 \times 0.5} = 0.1813.\)
Missing InformationThe problem asks for the proportion of the population that will visit an emergency room in the next six months.
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Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1, ...
Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
what is 207 rounded nearest hundred
Answer:
200
Step-by-step explanation:
HOPE THIS IS HELPFUL↓
Answer:
200
Step-by-step explanation:
Hope was helpful plz give brainliest
The Arnolds want to install a 3 ft tall circular pool with a 15 ft diameter in their rectangular patio. The patio will be surrounded
by new fencing, and the patio area surrounding the pool will be covered with new tiles.
How many square feet of ground will be covered in tiles? Round to the nearest tenth's place.
Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim t ? ? (square root of t + t2)/ 8t ? t2
To find the limit of the given expression, we can use the rationalization technique.
lim t ? ? (sqrt(t) + t^2)/ (8t - t^2)
Multiplying the numerator and denominator by the conjugate of the numerator, we get:
lim t ? ? [(sqrt(t) + t^2) * (sqrt(t) - t^2)] / [(8t - t^2) * (sqrt(t) - t^2)]
Simplifying the numerator and denominator, we get:
lim t ? ? (t - t^3/2) / (8t^3/2 - t^2)
Now, we can factor out t^3/2 from both the numerator and denominator:
lim t ? ? (t^3/2 * (1 - t)) / (t^2 * (8t^1/2 - 1))
Canceling out the common factor of t^2 from both the numerator and denominator, we get:
lim t ? ? (t^1/2 * (1 - t)) / (8t^1/2 - 1)
Now, we can plug in t = 0 to see if the limit exists:
lim t ? 0 (t^1/2 * (1 - t)) / (8t^1/2 - 1)
Plugging in t = 0 gives us an indeterminate form of 0/(-1), which means the limit does not exist. Therefore, the answer is DNE (does not exist).
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What is pooled mean standard error?
The pooled mean standard error is a measure of the variability associated with the difference between two group means in a statistical hypothesis test with equal variances.
The pooled mean standard error is a measure of the variability or uncertainty associated with the difference between two group means in a statistical hypothesis test, where the two groups have equal variances. Specifically, it is the standard error of the difference between the means of two independent samples, calculated by combining the standard errors of the two sample means into a single estimate.
The formula for the pooled mean standard error is:
SEp = \(\sqrt{ [ (s1^2/n1) + (s2^2/n2) ]}\)
where SEp is the pooled mean standard error, s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sample sizes, and sqrt represents the square root function.
The pooled mean standard error is used in the calculation of the t-statistic in a two-sample t-test, which is used to test the hypothesis that there is a significant difference between the means of the two groups. By accounting for the variability of both groups, the pooled mean standard error provides a more accurate estimate of the standard error of the difference between the means, which in turn allows for more precise hypothesis testing.
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if (10,3) and (6,31) are anchor point on a trend line, find the equation of the line
Answer:5.6
Step-by-step explanation:
Complete parts a and b for the following equation. (1)/(5x+5)=(5)/(x+1)-(6)/(5) a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation.
The variable that make a denominator zero is x = -1.
The solution to this equation is x = 3.
What is a rational function?In Mathematics and Geometry, a rational function simply refers to a type of function which is expressed as a fraction that is composed of two (2) main parts and these include the following:
NumeratorDenominatorBased on the information provided above, we can logically deduce the following rational function;
\(\frac{1}{5x+5} =\frac{5}{x+1} -\frac{6}{5}\)
Next, we would set the denominators equal to 0 in order to determine the restrictions on the variable as follows;
5x + 5 = 0
5x = -5
x = -1
x + 1 = 0
x = -1.
Part b.
By applying the least common factor, we have the following:
1 = 25 - 6(x + 1)
6(x + 1) = 25 - 1
6(x + 1) = 24
x + 1 = 4
x = 4 - 1
x = 3.
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The formula for the area of a triangle is bh=A. Which of the following is not a possible first step to
rearrange this formula to find the base of the triangle?
Answer:
h = A ÷ b
Step-by-step explanation:
The base is to be the subject of formula not height so dividing through the equation by b to give h = A ÷ B is not a possible first step
Answer number 3 and 4 please. Thank you.
I NEED HELP ASAP
What is the exponent used when 0.000000193 is written in scientific notation?
193 × 10 with an exponent of 6
hope that helps :)
Answer:
1.93 *10⁻⁷
Step-by-step explanation:
0.000000193 = 1.93 *10⁻⁷
Place the decimal point after the first number. (Here it is 1)
Then , count how many place we have moved from left to right. Here it is 7 places. So, -7
P = a + b Solve for b
Answer: divide by a
Step-by-step explanation:
P/a=b
You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of 8 inches. What is the approximate space of the mat not covered by the water bowl?
Answer:
200.96
Step-by-step explanation:
So, we have to find the area of both.
The area for the mat is
(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.
So, 226.08
Next, the water bowl.
(3.14)4^2=50.24.
226.08-25.12=200.96
I may be wrong!
A curve is defined by the parametric equations x(t) = e^-3t and y(t) = e^3t. What is d^2y/dx^2 in terms of t?
The second derivative of y with respect to x is 0 in terms of t.
To find the second derivative of y with respect to x, we need to use the chain rule and differentiate both x and y with respect to t, and then divide dy/dt by dx/dt.
First, we need to find dx/dt and dy/dt:
dx/dt = d/dt(e^-3t) = -3e^-3t
dy/dt = d/dt(e^3t) = 3e^3t
Now, we can find dy/dx:
dy/dx = (dy/dt)/(dx/dt) = (3e^3t)/(-3e^-3t) = -e^6t
Finally, we can find the second derivative of y with respect to x:
d^2y/dx^2 = d/dx(dy/dx) = d/dx(-e^6t) = 0
Therefore, the second derivative of y with respect to x is 0 in terms of t.
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in an interval whose length is z seconds, a body moves (32z 2z2) ft. which of the following is the average speed v of the body in this interval?
Answer:
32 - 2z
Step-by-step explanation:
Average speed is defined as the total distance traveled divided by the total time taken. In this case, the total distance traveled is (32z - 2z^2) ft. and the total time taken is z seconds. Therefore, the average speed v is:
v = (32z - 2z^2) / z
= 32 - 2z
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Anthony went shopping for a new pair of pants because of a sale. The store was offering a 5% discount. If the price on the tag was $32, what would be the price after the discount but before tax, to the nearest dollar and cent?
Answer:
$30.4
Step-by-step explanation:
fist we figure out what 5% of 32 is which is 1.6 then we subtract it from the total cost 32 - 1.6 = 30.4