Answer: 5:8
Step-by-step explanation:
Given: Total animals in the pet store = 40
Number of animals that are puppies= 15
Number of animals that are not puppies= 40- 15 = 25
Now , the ratio of A to B = \(\dfrac{A}{B}\) or A : B.
So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = \(\dfrac{25}{40}\)
Divide numerator and denominator by 5 , we get \(\ \ \ \dfrac{5}{8}\).
Hence, the required ratio = 5:8
336,765=3,14×0.55×(l+0.55) please help
Answer:
l = 194999.45
Step-by-step explanation:
I'm going to assume that you meant 3.14 by 3,14.
336,765 = 3.14 × 0.55 × (l + 0.55)
336,765 ÷ (3.14 × 0.55) = l + 0.55
(336,765 ÷ (3.14 × 0.55)) - 0.55 = l
l = 194999.45
please help i will give brainly!! (:
Answer:
x = 5
Step-by-step explanation:
To get the value of x we will use similar triangles as shown;
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
3x + 30 = 27x - 90
Collect like terms
3x - 27x = -90 - 30
-24x = -120
x = 120/24
x = 5
Hence the value of x is 5
How is the x value affected if there is a translation to the right?
(answer options below)
-you subtract from the x
-you add to the x
-you divide
-you multiply
Answer:
you subtract from the x
Step-by-step explanation:
PLEASE HELP ME ASAP!!!
Dilate a triangle by A by a scale factor of 1/3, translate it three units up and two units to the right, and rotate it 90 degrees clockwise about the origin.
b. Are these triangles similar or congruent ? Why?
Answer:
because of traingle
we have to firstly scale. the factor and add the numbers
for the antimony trichloride system, we assume only dilution when calculating concentrations. by making this assumption, are we adding random or systematic error to our data? explain the error in this assumption.
In the antimony trichloride system, when we assume only dilution when calculating concentrations, we are introducing a systematic error to our data.
The error in this assumption is that dilution is not the only process that occurs when calculating the concentration of the antimony trichloride system.
What is the antimony trichloride system?Antimony trichloride system refers to the equilibrium that is formed when antimony trichloride (SbCl₃) is dissolved in water. The reaction of antimony trichloride with water results in the formation of antimony ions (Sb⁺³) and chloride ions (Cl⁻). This reaction is represented by the following equation:
SbCl₃ + H₂O ↔ Sb⁺³ + 3Cl⁻
The equilibrium constant of the reaction is known as the antimony trichloride ionization constant (Kc).
Why is the assumption of dilution only introducing a systematic error to our data?The assumption of dilution only when calculating the concentration of the antimony trichloride system is introducing a systematic error in our data. This is because the reaction of antimony trichloride with water is not the only process that occurs when we are calculating the concentration of the system.
There are other factors that may affect the concentration of the system, such as temperature and pressure. Therefore, by assuming that dilution is the only process that affects the concentration of the antimony trichloride system, we are introducing a systematic error to our data. This error may result in inaccurate results when we are conducting experiments related to the antimony trichloride system.
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A 35-year-old person who wants to retire at age 65 starts a yearly retirement contribution in the amount of $5,000. The retirement account is forecasted to average a 6.5% annual rate of return, yielding a total balance of $431,874.32 at retirement age.
If this person had started with the same yearly contribution at age 40, what would be the difference in the account balances?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
$378,325.90
$359,978.25
$173,435.93
$137,435.93
If this person, who wants to retire at age 65, had started with the same yearly contribution at age 40, the difference in the account balances (future values) would be D. $137,435.93.
How the future values are determined:The future values can be computed using an online finance calculator as follows:
Future Value at Age 35:N (# of periods) = 30 years (65 - 35)
I/Y (Interest per year) = 6.5%
PV (Present Value) = $0
PMT (Periodic Payment) = $5,000
Results:
Future Value (FV) = $431,874.32
Sum of all periodic payments = $150,000.00
Total Interest = $281,874.32
Future Value at Age 40:N (# of periods) = 25 years (65 - 40)
I/Y (Interest per year) = 6.5%
PV (Present Value) = $0
PMT (Periodic Payment) = $5,000
Results:
Future Value (FV) = $294,438.39
Sum of all periodic payments = $125,000.00
Total Interest = $169,438.39
Difference in future values = $137,435.93 ($431,874.32 - $294,438.39)
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Which angles pairs with the names? I just need a simple checklist :).
Answer:
Angle pair types
Pairs of Angles
Complementary Angles. Two angles are complementary angles if their degree measurements add up to 90°. ...
Supplementary Angles. Another special pair of angles is called supplementary angles. ...
Vertical Angles. ...
Alternate Interior Angles. ...
Alternate Exterior Angles. ...
Corresponding Angles.
Step-by-step explanation:
Angle pair types
Pairs of Angles
Complementary Angles. Two angles are complementary angles if their degree measurements add up to 90°. ...
Supplementary Angles. Another special pair of angles is called supplementary angles. ...
Vertical Angles. ...
Alternate Interior Angles. ...
Alternate Exterior Angles. ...
Corresponding Angles.
How you find slope and how do you graph it y=mx+b
Answer:
m=y2-y1/x2-x1
Step-by-step explanation:
Sue’s Corner Market has a markup of 60% on bottled water. If the market sells a bottle of water for $2, find the original amount that Sue pays.
Answer:
1.25
Step-by-step explanation:
original price + markup = retail
The markup = original * markup percentage
original + original * markup percent= retail
Factor out the original
original( 1+ markup percent) = retail
original ( 1 + 60%) = 2
Change to decimal form
original ( 1+ .60) = 2
original ( 1.60) = 2
Divide each side by 1.6
original = 2/1.6
original =1.25
Answer:
1.25
Step-by-step explanation:
Sue’s Corner Market has a markup of 60% on bottled water.So therefore an equation to represent this is original price + markup price = price after markup.Then divide both side by 1.6.(LMK if this help hopefully it does)
Chris is 6 feet tall and he casts a shadow that is 5 feet longHe measures that the shadow cast by the school building is 30 feet longHow tall is the school building?
The school building is 36ft tall.
What is Pythagoras theorem?The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
Chris is 6 feet tall and he casts a shadow that is 5 feet long
He measures that the shadow cast by the school building is 30 feet long
We can say the ratios will be same 6/h = 5/30
h =6 × 6 = 36 ft
Hence the school building is 36ft tall.
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The mass of the particles that a river can transport is proportional to the fifth power of the speed of the river. A certain river normally flows at
a speed of 4 miles per hour. What must its speed be in order to transport particles that are 12 times as massive as usual? Round your
answer to the nearest hundredth.
Answer:
6.58 miles per hour
Step-by-step explanation:
Let the mass and speed be represented by m and s respectively. So that,
m \(\alpha\) \(s^{5}\)
m = k\(s^{5}\)
where k is the constant of proportionality.
For a certain river, speed = 4 miles per hour.
m = k \((4)^{5}\)
m = 1024k ............ 1
In order to transport particles that are 12 times as massive as usual;
12m = k\(s^{5}\)
m = \(\frac{ks^{5} }{12}\) ............. 2
Thus,
\(\frac{ks^{5} }{12}\) = 1024 k
\(s^{5}\) = 12 x 1024
= 12288
\(s^{5}\) 12288
s = \(\sqrt[5]{12288}\)
= 6.5750
s = 6.58 miles per hour
Therefore, its speed must be approximately 6.58 miles per hour.
Perform the following steps for below question:
a. Draw a scatter plot
b. Determine the equation of the best fit regression line
c. Plot the regression line on the scatter plot
d. Compute the correlation coefficient e. Determine the SSD
These data were obtained from a survey of the number of years people smoked and the percentage of lung damage they sustained. Predict the percentage of lung damage for a person who has smoked for 30 years.
Years x 22 14 31 36 9 41 19
Damage y 20 14 54 63 17 71 23.
a. Scatter plot: we can use the Years as the x-axis and Damage as the y-axis.
b. Regression line equation: y = -2.2909 + 1.3636x.
c. Scatter plot with regression line: [Insert scatter plot with regression line here].
d. Correlation coefficient: r ≈ 0.949.
e. Sum of squared deviations (SSD): SSD ≈ 170.94.
Prediction for a person who has smoked for 30 years: Predicted percentage of lung damage ≈ 38.963%.
a. To create a scatter plot, we can use the Years as the x-axis and Damage as the y-axis. Below is the resulting scatter plot.
b. To determine the equation of the best-fit regression line, we can use the formula y = a + bx, where a is the y-intercept and b is the slope. The values of a and b can be calculated using the following formulas:
b = (n∑xy - ∑x∑y) / (n∑x^2 - (∑x)^2)
a = (∑y - b∑x) / n
Here, n represents the sample size, ∑x, and ∑y are the sums of the x and y values, and ∑xy and ∑x^2 are the sums of the products and squares of the x and y values, respectively.
After performing the necessary calculations, we find:
b = (7(1924) - (173)(262)) / (7(642) - (173)^2) ≈ 1.3636
a = (176/7) - (1.3636/7)(118) ≈ -2.2909
Therefore, the equation of the regression line is y = -2.2909 + 1.3636x.
c. We can plot the regression line on the scatter plot. Here is the updated scatter plot with the regression line:
d. The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and +1 indicates a perfect positive correlation.
The formula for the correlation coefficient is:
r = (n∑xy - ∑x∑y) / √[(n∑x^2 - (∑x)^2)(n∑y^2 - (∑y)^2)]
After performing the calculations, we find:
r = (7(1924) - (173)(262)) / √[(7(642) - (173)^2)(7(2878) - (176)^2)] ≈ 0.949
Therefore, the correlation coefficient is r ≈ 0.949.
e. The sum of squared deviations (SSD) is a measure of the variation around the regression line. The formula for SSD is:
SSD = Σ(yi - yi)^2
where yi is the observed value and yi is the predicted value.
After substituting the values, we find:
SSD = (20 - 15.3)^2 + (14 - 9.1)^2 + (54 - 39.8)^2 + (63 - 59.6)^2 + (17 - 11.8)^2 + (71 - 67.1)^2 + (23 - 18.4)^2 ≈ 170.94
Therefore, the SSD is approximately 170.94.
To predict the percentage of lung damage for a person who has smoked for 30 years, we can substitute x = 30 into the regression equation:
y = -2.2909 + 1.3636(30) ≈ 38.963
Therefore, the predicted percentage of lung damage for a person who has smoked for 30 years is approximately 38.963%.
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Hi um if your so kind please do 31,33,35,37 if you do thank so much
Answer:
31) They divided by 100, they're suppose to times 0.86 by 100 instead, which will be 86%
33) 0.34 x 100=34%
35) we do the inverse to turn it back into
a decimal which will be 0.36
\( \frac{36}{100} = \frac{18}{50} = \frac{9}{25} \)
36) 16.24÷100=0.6424
\( \frac{16.24}{100} = \frac{8.12}{50} = \frac{4.6}{25} \)
Find the coordinates of the midpoint of AB for A(2,5)and B (6,9)
Answer: (4,7)
Step-by-step explanation: Graph em and find the exact middle
5 minutes left!!! HELP!!!
The candy store is having a 30% off sale. Emma is going to buy $12.50 worth of candy. How much will she pay after the discount?
answer keythe probability that kendra will win a card game is 23. if kendra plays 7 games what is the probability that she wins exactly 4 games? a
The probability that Kendra will win a card game is 2/3. If Kendra plays 7 games the probability that Kendra wins exactly 4 games is 0.137.
The probability of winning one game is 2/3, and the probability of losing one game is 1/3. If you want to know the likelihood of a particular number of wins, you'll need to use the binomial distribution formula.
Binomial probability refers to the probability of obtaining a certain number of successes in a set number of trials (or independent experiments).
P(x = k) = nCk x pk x (1 - p)n - k
where, nCk is the number of combinations of n things taken k at a time,
n is the number of trials,
p is the probability of success, and
k is the number of successes.
Here, n = 7, p = 2/3, and k = 4.
Using the formula, we get:
P(x = 4) = 7C4 x (2/3)4 x (1/3)3= 35 x 16/81 x 1/27= 0.137.
Hence, the probability that Kendra wins exactly 4 games is 0.137.
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For a standardizod normal distribution, determine a value, say zo, such that the foloming probablities are talinfied. a. P(0z0)=0.095 0. P(z≤z0)=0,03 Click the icon to view the standard normal tablei a0=2.80 (Round to two decirtal places as needed.) b. 20= (Ropnd to two decimal places as needed.)
The values for the standardized normal distribution are: a. zo ≈ 1.645 b. zo ≈ -1.880
To determine the value zo for the given probabilities, we can refer to the standard normal table. This table provides the cumulative probability values for the standard normal distribution, which has a mean of 0 and a standard deviation of 1.
a. To find zo such that P(0 < z < zo) = 0.095, we need to find the z-score that corresponds to a cumulative probability of 0.095. Looking up this value in the standard normal table, we find that a cumulative probability of 0.095 corresponds to a z-score of approximately 1.645.
b. To find zo such that P(z ≤ zo) = 0.03, we need to find the z-score that corresponds to a cumulative probability of 0.03. Looking up this value in the standard normal table, we find that a cumulative probability of 0.03 corresponds to a z-score of approximately -1.880.
Therefore, the values are: a. zo ≈ 1.645 b. zo ≈ -1.880
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Determine which of the following signals are periodic. If a signal is periodic, determine its period. (a) x[n]=e
2πn/5
(b) ×[n]=sin(
19
πn
)
(a) The signal x[n] = e^(2πn/5) is periodic with a period of 5.
(b) The signal x[n] = sin(19πn) is periodic with a period of 2.
Signal (x[n]) is periodic if there exists a positive integer N such that x[n + N] = x[n] for all n.
In other words, if the signal repeats itself after a certain number of samples, it is periodic. (a) x[n] = e^(2πn/5)
To determine if this signal is periodic, we need to find a positive integer N such that x[n + N] = x[n] for all n.
Let's substitute n + N into the equation: x[n + N] = e^(2π(n + N)/5) To check if this is equal to x[n], we need to simplify it using properties of exponential functions: e^(2π(n + N)/5) = e^(2πn/5) * e^(2πN/5)
For x[n + N] to be equal to x[n], e^(2πn/5) and e^(2πN/5) must be equal. However, e^(2πN/5) is only equal to 1 when N is a multiple of 5 (since e^(2π) = 1). Therefore, the period of signal (a) is 5, because x[n] = x[n + 5] for all n. (b) x[n] = sin(19πn) To determine if this signal is periodic, we need to find a positive integer N such that x[n + N] = x[n] for all n. Let's substitute n + N into the equation: x[n + N] = sin(19π(n + N)) To check if this is equal to x[n], we need to use the periodicity of the sine function. The sine function has a period of 2π, which means sin(x) = sin(x + 2π). Therefore, to find the period of x[n], we need to find a positive integer N such that 19πN is a multiple of 2π. Simplifying the equation, we get: 19πN = 2πk, where k is an integer. Cancelling out π, we have: 19N = 2k Since 19 and 2 are relatively prime, the smallest positive integer N that satisfies the equation is 2, with k = 19.Therefore, the period of signal (b) is 2, because x[n] = x[n + 2] for all n.
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a 190-lb man carries a 10-lb can of paint up a helical staircase that encircles a silo with radius 15 ft. if the silo is 80 ft high and the man makes exactly four complete revolutions, how much work is done by the man against gravity in climbing to the top? ft-lbs
The work done by the man against gravity in climbing to the top is approximately 6038.3787 ft-lbs.
To calculate the work done by the man against gravity in climbing to the top of the silo, we need to consider the gravitational potential energy. The work done is equal to the change in potential energy.
The gravitational potential energy can be calculated using the formula:
PE = mgh,
where PE is the gravitational potential energy, m is the mass, g is the acceleration due to gravity (approximately 32.2 ft/s^2), and h is the height.
In this case, the height of the silo is 80 ft. However, the man is making four complete revolutions, which means he is covering a greater vertical distance.
The vertical distance covered in four complete revolutions can be calculated using the formula:
d = 2πr,
where d is the distance, π is pi (approximately 3.14159), and r is the radius of the silo.
Given that the radius of the silo is 15 ft, the distance covered in four complete revolutions is:
d = 2π(15) = 30π ft.
Therefore, the total vertical height covered by the man is 80 ft + 30π ft.
Now we can calculate the work done:
Work = ΔPE = mg(Δh),
where Δh is the change in height.
Since the man starts at the bottom and goes to the top, the change in height is the total height covered: Δh = 80 ft + 30π ft.
The mass of the man is 190 lb, which can be converted to slugs (1 slug = 32.2 lb·s^2/ft) by dividing by the acceleration due to gravity:
m = 190 lb / 32.2 lb·s^2/ft = 5.90062 slugs.
Now we can calculate the work done:
Work = 5.90062 slugs × 32.2 ft/s^2 × (80 ft + 30π ft) = 6038.3787 ft-lbs.
Therefore, the work done by the man against gravity in climbing to the top is approximately 6038.3787 ft-lbs.
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Solve 4(3b + 2) – 5b = 43 for b. Question 4 options: A) b = 3 B) b = 5 C) b = –3 D) b = –5
Answer:
b = 5
Step-by-step explanation:
4 ( 3b + 2 ) - 5b = 43 Given
( 4 • 3b + 4 • 2 ) - 5b = 43 Distributive Property
12b + 8 - 5b = 43
12b - 5b + 8 = 43 Combine like terms
7b + 8 = 43
7b + 8 - 8 = 43 - 8 Subtraction Property of Equality
7b = 35
7b / 7 = 35 / 7 Division Property of Equality
b = 5
Which equation represents a line which is perpendicular to the line y = 2x - 5?
Step-by-step explanation:
y = 2x + C
we must want to find C
A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
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A group of 116 guests would like to go to the theme park today. Each van can
transport 8 people.
Answer:
u would need 15 vans if that's what it's asking
please help me out .
ill mark brain list
Answer:
The amount of time Jill spent to do her homework
= 9 1/2 hours. which equals to 570 minutes.
Which means, the amount of times Jack needed to do his is
= 570 minutes x 1.5
= 855 minutes which equals to 14 1/4 hours
hope this helps
Answer:
Step-by-step explanation:
1) Time spent by Jack = Time spent by Jill * 1 1/2
\(= 9\frac{1}{2}*1\frac{1}{2}\\\\=\frac{19}{2}*\frac{3}{2}\\\\=\frac{19*3}{2*2}\\\\=\frac{57}{4}\\\\=14\frac{1}{4} hours\)
2) Time spent by Jill = Time spent by Jack ÷ 1 1 /2
= 18 1/4 ÷ 1 1/2
= 73/ 4 ÷ 3/2
\(= \frac{73}{4} * \frac{2}{3}\\\\=\frac{73}{2}*\frac{1}{3}\\\\=\frac{73*1}{2*3}\\\\=\frac{73}{6}\\\\=12\frac{1}{6} hours\)
3) Third number = Sum of three numbers - Sum of two numbers
Sum of two numbers = \(8\frac{2}{3}+8\frac{1}{6}\\\)
\(= \frac{26}{3} +\frac{49}{6}\\\\=\frac{26*2}{3*2}+\frac{49}{6}\\\\=\frac{52}{6}+\frac{49}{6}\\\\=\frac{52+49}{6}\\\\=\frac{101}{6}\\\)
Third number = 22 8/15 - 101/6
\(= \frac{338}{15}- \frac{101}{6}\\\\= \frac{338*2}{15*2}- \frac{101*5}{6*5}\\\\= \frac{676}{30}- \frac{505}{30}\\\\= \frac{676-505}{30}\\\\= \frac{171}{30}\\\\=5 \frac{21}{30}\\\\= 5 \frac{7}{10}\)
both methods requires two initial guesses x1 and x2, and it is necessary that f(x1)*f(x2) < 0
The requirement f(x1) * f(x2) < 0 for choosing initial guesses x1 and x2 with opposite signs ensures the validity and convergence of certain numerical root-finding methods such as the bisection method or the regula falsi method.
The statement you provided is true for certain numerical methods used to find roots of equations, such as the bisection method or the regula falsi method. These methods are iterative and require an initial interval or range where the root is expected to be found. To ensure convergence and a valid solution, it is necessary to choose initial guesses x1 and x2 such that the function f(x) evaluated at those points have opposite signs, i.e., f(x1) * f(x2) < 0.
The rationale behind this requirement is based on the Intermediate Value Theorem, which states that if a continuous function f(x) changes sign over an interval [x1, x2], then there exists at least one root within that interval. By ensuring that f(x1) and f(x2) have opposite signs, we guarantee the existence of a root within the interval [x1, x2].
The bisection method works by repeatedly bisecting the interval and selecting a new subinterval that contains the root. At each iteration, the method narrows down the interval by halving it, based on the sign change observed in the function evaluations.
Similarly, the regula falsi (or false position) method also operates by iteratively refining the interval based on the linear interpolation between the function values at the endpoints. The method adjusts the interval based on the sign change of the function, converging to the root.
Both methods rely on the property of opposite signs to guarantee convergence and avoid getting stuck in a non-converging or incorrect solution. If the initial guesses do not satisfy the condition f(x1) * f(x2) < 0, it is possible that the method fails to converge or converges to a different root or solution.
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Maria and jose students at mississippi valley state university are going to study aboard in spain they need to find the weight of their suitcases to make sure they meet airline regulations
Since they need to find the weight of their suitcases to make sure they meet airline regulations. the units that they should use Kg.
What unit is used to measure a suitcase?Airport passengers are often needed to put only at least a single baggage any time in the check-in self-service so that the baggage can be checked and identified.
Note that the Maximum Weight per piece is said to be 50 lb/23 kg and the Maximum Dimensions is said to be 45 linear inches or 115 cm (including the length + width + height)
Therefore, Since they need to find the weight of their suitcases to make sure they meet airline regulations. the units that they should use Kg.
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See full question below
Maria and Jose, students at Mississippi Valley State University, are going to study abroad in Spain. They need to find the weight of their suitcases to make sure they meet airline regulations. What units should they use?
TIME REMAINING
55:06
A city’s bus line is used more as the urban population density increases. The more people in an area, the more likely bus lines will be utilized.
The population of City A, in Texas, is 29,455 and covers an area of 19.42 mi2.
The population of City B, in Alabama, is 34,890 and covers an area of 25.4 mi2.
Which city’s residents are more likely to use public buses? Explain.
The residents of City B are more likely to use public transportation because the city has the lowest population density.
The residents of City B are more likely to use public transportation because the city has the highest population density.
The residents of City A are more likely to use public transportation because the city has the lowest population density.
The residents of City A are more likely to use public transportation because the city has the highest population density.
Answer:
d
Step-by-step explanation:
i just took the test
The residents of City A are more likely to use public transportation because the city has the highest population density. Therefore, the correct option is A.
What is Population density?Population density is the amount of people living in a specific area. In this example, City A has 29,455 residents in an area of 19.42 square miles, while City B has 34,890 residents in an area of 25.4 square miles.
Due to the large number of people living in the small space, the population density is high in City A. Greater demand for public transport services, such buses, is often brought about by higher population density as residents find these services more practical and cost effective to use for commuting and travel. As a result of their increased population density, people in City A are more inclined to use public transport.
Therefore, the correct option is A.
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Which equation describes the circle
with center (5,-1) and radius 7?
A (x - 5)' + (y +1)* = 7
B (x - 5)* + (y + 1)* = 49
(x + 5) * + (y - 1) = 7
D(x + 5)' + (y - 1)' = 49
Answer:
B. (x-5)²+(y+1)² = 49
Step-by-step explanation:
An equation of a circle with center (h, k) and radius r is
\( \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }\)
We have all given information we need. Our h is 5 - Our k is -1 and our radius is 7
Substitute these values in
\( \large{ {(x - 5)}^{2} + {(y - ( - 1))}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = {7}^{2} } \\ \large{ {(x - 5)}^{2} + {(y + 1)}^{2} = 49 }\)
So the answer is B choice.
a pentagon has a side of 5cm, what is the perimeter of the pentagon
PLEASE HELP! I’m not sure if i’m right
Answer:
looks right
Step-by-step explanation:
Answer:
you are correct
Step-by-step explanation: