15v - 2v + 29 = 5v - 27
Answer:
v=-7
Step-by-step explanation:
13v-5v=-27-29
8v=-56
v=-56/8=-7
The estimated population of Los Angeles in 2019 was 3,979,576. Its area is 469 square miles. What is the population density of Los Angeles, in people per square mile?
Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its area is 469 square miles, the population density of Los Angeles is 8486 people per square miles.
What is the population density of Los Angeles, in people per square mile?Population density simply the measurement of population per unit area.
It is expressed as;
Population density = Number of people / Area
Given the data in question;
Number of people in Los Angeles N = 3,979,576 peopleArea of Los Angeles A = 469 square milesPopulation density = ?We substitute the given values into the above equation.
Population density = Number of people / Area
Population density = 3,979,576 people / 469 square miles
Population density = 8485.23667 ≈ 8486 people per square miles
Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its area is 469 square miles, the population density of Los Angeles is 8486 people per square miles.
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Reflect the given triangle over the line y=-X
TOP (3 6 3)
BOTTOM (-3 3 3)
The equation rule for the reflection of the triangle over the line y = -x is given as (x, y) ⇒ (-y, -x)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The equation rule for the reflection of the triangle over the line y = -x is given as (x, y) ⇒ (-y, -x)
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write the expression as the sine or cosine of an angle
pi/5 cos pi/2+sin pi/2\cos pi/5
The given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
The addition formula for trigonometryThe given expression is:
[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )[/tex]
Note that:
[tex]sin(A+B)=sinAcosB+cosAsinB[/tex]
Applying the addition principle to the given expression, we have:
[tex]sin(\frac{\pi}{5})cos(\frac{\pi}{2} ) + cos(\frac{\pi}{5})sin(\frac{\pi}{2} )=sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
Therefore, the given expression as a sine function is [tex]sin(\frac{\pi}{5} +\frac{\pi}{2} )[/tex]
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20) Chester bought a new car with a sticker price of $18,675. He paid 25% of the cost as a down payment. What
amount did he finance?
O a.) $14,016.25
Ob.) $14,126.25
O c.) $14,006.25
Od.) $14,106.25
Answer:
B is correct
help me pls: what is
four and two eighths minus two and five eighths equals
Answer:
13/8
Step-by-step explanation:
4 2/8 - 2 5/8
34/8 - 21/8 = 13/8
1 5/8 as a mixed fraction
Pls help me I'm stuck
The measure of the angle BAM is approximately 40.894°.
What is the angle withing a rectangle?
In this problem we proceed to draw the figure representing the entire figure and labeling all known lengths, both from statement and derived from Pythagorean theorem. Since the angle BAM is part of a right triangle, then we can apply the following trigonometric function:
[tex]\tan \theta = \frac{BM}{AB}[/tex]
[tex]\tan \theta = \frac{\frac{\sqrt{3}}{2}\cdot x }{x}[/tex]
[tex]\tan \theta = \frac{\sqrt{3}}{2}[/tex]
θ ≈ 40.894°
The measure of the angle BAM is approximately 40.894°.
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12. The brakes on a vehicle can slow it down at a rate of 15m/s 2. Remember that slowing down is also a rate of change of speed. If this vehicle is travelling at 40 m/s how long would it take the brakes to bring the vehicle to a standstill? Show all steps and formulae used
Step-by-step explanation:
there are several formulas that could play a role.
but in our case, where we have velocities and the deceleration, we are going to use
fV = iV + at
fV = final velocity (0 on our case)
iV = initial velocity (40 m/s in our case)
a = acceleration (-15 m/s² in our case)
t is the time it takes to reach fV.
0 = 40 + (-15)t = 40 - 15t
15t = 40
3t = 8
t = 8/3 = 2.666666666... seconds
so, it takes 2.6666666... or 2 2/3 seconds to bring the vehicle to a standstill.
Which is the graph of the function f(x)=√x?
The graph is shown in the attached image.
Explain the difference between using area and volume with 2-D and 3-D figures.
The difference between Area and Volume lies in the fact that the former relates to plane shapes while the latter takes the concept of solid shapes into account.
What is the difference between Area and Volume?The distinctive characteristic of area is the space occupied by a two-dimensional, 2D flat object in a plane while Volume on the other hand is defined as the space covered by a three-dimensional, solid object. The area is quantised in square units while the volume is quantised in cubic units.
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A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles. Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles. Round your answer to the nearest whole number (percent).
The percentage of vehicle mileage expectancies that are more than 188,600 miles is 93%
How to determine the percentage?The given parameters are:
Mean = 169200
Standard deviation = 19400
x = 188600
Calculate the z value using:
[tex]z = \frac{x - \mu}{\sigma}[/tex]
So, we have:
[tex]z = \frac{188600 - 169200}{19400}[/tex]
Evaluate
z = 1
Using the Empirical Rule, we have:
P(x > 188600) = P(z > 1.5)
From z table of probability, we have:
P(x > 188600) = 0.93319
Express as percentage
P(x > 188600) = 93.319%
Approximate
P(x > 188600) = 93%
Hence, the percentage of vehicle mileage expectancies that are more than 188,600 miles is 93%
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Rewrite 1/2 x 1/2 x 1/2 as an exponential expression with a base of 2.
The equivalent expression of 1/2 * 1/2 *1/2 is 2^-3
How to rewrite the expression?The expression is given as:
1/2 * 1/2 *1/2
Apply the product law of indices
1/2 * 1/2 *1/2 = (1/2)^3
Apply the power law of indices
1/2 * 1/2 *1/2 = (2^-1)^3
This gives
1/2 * 1/2 *1/2 = 2^-3
Hence, the equivalent expression of 1/2 * 1/2 *1/2 is 2^-3
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The method in which all the elements of the set are written within brackets is called
Answer:
The set can be defined by listing all its elements, separated by commas and enclosed within braces. This is called the roster method.
Step-by-step explanation:
Mark me as Brainy.
As an introduction to probability, a student asked to roll a fair, six sided number cube seven times the results of those seven rolls are shown below 1,4,4,4,4,6,5 what is the standard deviation of the data?
Using it's concept, the standard deviation of the data is of 3.742.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.For this data-set, the mean is:
M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.
Hence the standard deviation is:
[tex]S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742[/tex]
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14) Noah needs a car to get to his new job each day. He figures he can afford to pay $120 each month. Since he
is not looking at a new car, his bank will only give him a 4-year loan at 9.20 percent interest. Given these
parameters, what is the most Noah can borrow? Give answer to nearest hundred dollars.
O a.) $4600
Ob.) $4800
Oc.) $4900
O d.) $5000
Answer: $4600
Step-by-step explanation:
An H0-scale model railroad engine is 9 inches long. The H0 scale is 87 feet to 1 foot. How long is a real engine?
The real engine is 65.25 feet long
How to determine the length?The scale is given as:
Scale = 87 feet to 1 foot
The scale length is given as
Scale length = 9 inches
Convert inches to feet
Scale length = 9/12 feet
The actual length is then calculated as:
Actual = 87 * 9/12 feet
Evaluate
Actual = 65.25 feet
Hence, the real engine is 65.25 feet long
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Find the length of a segment in the coordinate plane with endpoints (-4,-5) and (8, 1).
Answer:
Step-by-step explanation:
d = 13.416408
For:
(X1, Y1) = (-4, -5)
(X2, Y2) = (8, 1)
Answer:
L = 9.49 units
Step-by-step explanation:
From the 1st point to the 2nd, x changes by 12; from the 1st to the 2nd, y changes (increases) by 6. These results (12 and 6) represent the leg length of a right triangle whose diagonal length we wish to calculate using the Pythagorean Theorem:
12^2 = 144 and 6^2 = 36.
Combining these results in the length of the diagonal:
L = √(144 + 36) = √180 = 13.42 units using the Pythagorean Theorem
Rounding off, we get L = 9.49 units
tephen uses \dfrac{2}{25}
25
2
start fraction, 2, divided by, 25, end fraction kilograms of tofu in each serving of his famous tofu dish. He has 1\dfrac{1}{10}1
10
1
1, start fraction, 1, divided by, 10, end fraction kilograms of tofu.
The total number of servings Stephen can achieve with 1/10 kilograms of tofu at 2/25 kilograms per serving is 5/4 servings
Unit rateTofu per serving = 2/25 kilogramsTotal tofu Stephen has = 1/10 kilogramsNumber of servings = Total tofu Stephen has ÷ Tofu per serving
= 1/10 ÷ 2/25
= 1/10 × 25/2
= (1×25) / (10 × 2)
= 25/20
= 5/4 servings
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If DAB = 80°, then DAC =
Answer:
80
Step-by-step explanation:
DAB =DAC...........
Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250
Which of the following inequalities matches the graph?
-8 -0
O x>4
O x<4
O y> 4
O y<4
1
Answer:
it matches with equation c
8 cm
Find h.
9 cm
h = √[?] cn
Answer:
[tex]\sqrt{65}[/tex], so [?] = [65]
Step-by-step explanation:
This is a classic Pythagorean Theorem problem :)
We are given a right triangle with 2 sides, so all we have to do is plug it into the formula a² + b² = c², or in simple terms: the square of one side plus the square of the other equals the square of the hypotenuse.
line h is going to bisect the diameter of the circle (8) so one side will be 4. We're given 9 as our hypotenuse, so:
(4)² + (h)² = (9)².
16 + h² = 81
h² = 81 - 16, h² = 65, h = [tex]\sqrt{65}[/tex].
The following are the ages (years) of 5 people in a room:
14
,
16
,
16
,
13
,
A person enters the room.
The mean age of the 6 people is now 21.
What is the age of the person who entered the room?
Answer:
67 years old. (you only gave 4 people and missed out one person)
Step-by-step explanation:
take all the ages first and put the unknown (age of the person who entered the room) as x.
14, 16, 16, 13, x
all of these numbers added to together would be:
59 + x
Because the question is talking about the mean age, to find mean:
add all the values in the data (ages) and divide by the total number of values on the list. (in your case would be 6 people (following your question) but you gave only 5 people including the x).
then (59 + x) / 6 = 21
21 x 6 = 126
126 = 59 + x
x = 67
Value of x after the statement "if P(x) then x 1" is executed where P(x): > 1
and x = 0 when the statement is reached:
The values of x after the statement are:
b) If x=1, then the statement P(1)="1>1" is false, and thus the value of x is equal to 1 after the statement "P(x) then x := 1".c) If x=2, then the statement P(2)="2>1" is true, and thus the value of x is equal to 1 after the statement "if P(x) then x := 1".What is Discrete Mathematics?This refers to the field of mathematics that studies mathematical structures and views them as discrete, rather than continuous and they include integers, statements, etc.
Therefore, if we consider the statement "if P(x) then x:=1" which is equivalent to "if x>1 then x:=1", then we can see that If x=1, then the statement P(1)="1>1" is false
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Emma throws an object upwards from a hill
The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A non linear function is a function whose graph is not linear or can be represented by a straight line.
The function y = -16x² + 48x + 64 is a non linear function with a parabolic shape graph.
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An article in the British Medical Journal [“Comparison of Treatment of Renal Calculi by Operative Surgery, Percutaneous Nephrolithotomy, and Extra-Corporeal Shock Wave Lithotrips,” (1986, Vol. 292, pp. 879–882)] found that percutaneous nephrolithotomy (PN) had a success rate in removing kidney stones of 289 out of 350 patients. The traditional method was 78% effective.
(a) Is there evidence that the success rate for PN is greater than the historical success rate? Find the P-value.
(b) Explain how the question in part (a) could be answered with a confidence interval.
The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.
According to the statement
we have given that the percutaneous nephrolithotomy (PN) had a success rate in removing kidney stones of 289 out of 350 patients. And
The traditional method was 78% effective.
we have to show that the success rate for PN is greater than the historical success rate then
we use the percentage formula to find the success rate of the new method. So,
(a) Total patients = 350
Success rate in number of patient = 289
Percentage of success rate = (289/350)*100
Then after calculating
Percentage of success rate = 82.57%
It is clear that the outcome success rate is 82.57% which is greater than traditional method.
(b) we have a 95% confidence that the success rate of new method is higher than the older method from a confidence interval of 2.262 and 3.67
So, The Success rate of (PN) had 82.57% which is greater than traditional method's success rate.
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3
3
4
Possible inputs for the quadratic when the
output is 3 are
(Note: Fill in the least input first)
or
[tex]x {}^{(1)} = - 3 \: \: \: \: \: \: x {}^{(2)} = - 1[/tex]
The inverse of G(x) is a function.
• A. True
• B. False
Answer: False
Step-by-step explanation:
G(x) is not a one-to-one function (since it fails the horizontal line test). Therefore, it doesn't have an inverse.
Sets A and I are defined as follows:
A = {-5, -2,0, 2, 5}
I = {−5, -1, 1, 5, 8}
Find the union of A and I.
Answer:
{-5,-2,0,2,5,-1,1,8}
Step-by-step explanation:
The union of two sets contains all elements that are in set A or in set B (possibly both).
{-5,-2,0,2,5} ∪ {-5,-1,1,5,8} = {-5,-2,0,2,5,-1,1,8}
Aperson invest 10,000 shillings for 40 months compounded monthly. Find the accumulated amount If the rate is 5% per annum.
hi
monthly interest rate is : [tex]\sqrt[12]{1.05}[/tex]
So in forty month there will be : 10 000 * ( [tex]\sqrt[12]{1.05}[/tex] )^40 ≈11 776,06