The angle measures in the figure assuming the angles are supplementary angles are m1 = 165° and m2 = 15°.
Finding the angle measuresFrom the question, we have the following parameters that can be used in our computation:
m1= 5x° and m2 = (x - 18)°.
Assuming the angles are supplementary angles
So, we have
5x + x - 18 = 180
Evaluate the like terms
This gives
6x = 198
Divide by 6
So, we have
x = 33
Recall that
m1 = 5x° and m2 = (x - 18)°.
So, we have
m1 = 5 * 33° and m2 = (33 - 18)°.
Evaluate
m1 = 165° and m2 = 15°.
HEnce, the angles are m1 = 165° and m2 = 15°.
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A garden is in the shape of a square with a perimeter of
32
feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is
2
feet from the first fence on the outside. If the material used to build the two fences is
$
1.18
per foot, what was the total cost of the fences?
Answer:
Step-by-step explanation:
32 / 4 = 8 = length or width (because it is a square both are the same)
8 + 2 = 10
10 + 10 + 10 + 10 = 40 (perimeter of outer fence)
32(1.18) + 40(1.18) = $84.96
The average satisfaction rating for all hospitals were 7.8 (on a 1-10 scale) with a sigma of .5. The average satisfaction for Riverside community hospital was 8.1 with a standard deviation of 1.5. What test should be used
A one-sample t-test is the appropriate test to compare the average satisfaction rating of Riverside community hospital to the population average.
To determine what test should be used in this scenario, we need to consider the nature of the data and the objective of the analysis.
Based on the given information, we have two sets of data: the average satisfaction rating for all hospitals (population) and the average satisfaction rating for Riverside community hospital (sample).
If our objective is to compare the average satisfaction rating of Riverside community hospital to the population average, we can use a hypothesis test. Specifically, we can perform a one-sample t-test.
The one-sample t-test allows us to compare a sample mean to a known population mean when the population standard deviation is unknown. In this case, we know the population mean (7.8) and the population standard deviation (0.5), which makes the one-sample t-test appropriate.
By comparing the average satisfaction rating of Riverside community hospital (8.1) to the population mean (7.8), along with the sample standard deviation (1.5) and the known population standard deviation (0.5), we can conduct a one-sample t-test to determine if the difference is statistically significant.
Therefore, a one-sample t-test is the appropriate test to compare the average satisfaction rating of Riverside community hospital to the population average.
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morgan is analyzing her data and notices that the value of her mean is quite a bit smaller than the value of her median. she asks for your help in interpreting these results. what would you tell her?
We can interpret from the results that the distribution of data might be negatively skewed.
In the given question it is mentioned that while Morgan was analyzing her data, she notices that the value of her mean is quite a bit smaller than the value of her median.
As we know that, in statistics, when the mean is smaller than the median and mode, it indicates a negatively skewed distribution.
A negatively skewed distribution or left skewed distribution is a type of distribution in which more values are concentrated on the right side of the distribution graph while the left side of the graph is longer.
Hence, we can interpret from these information that the distribution of data of Morgan are negatively skewed.
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Solve for x in the equation
Answer: a
Step-by-step explanation:
online calculator
-5-3x ≥ 2(10+2x)+3
Can you solve this as an inequality?
Answer: x ≤ -4
Step-by-step explanation: The explination will be placed in the comment area :)
Answer:
x ≤ -4Step-by-step explanation:
\(-5-3x \geq 2(10+2x)+3\\\)
Expand
\(2\left(10+2x\right)+3:\quad 4x+23\\\\-5-3x\ge \:4x+23\\\\\mathrm{Add\:}5\mathrm{\:to\:both\:sides}\\-5-3x+5\ge \:4x+23+5\\\\Simplify\\-3x\ge \:4x+28\\\\\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}\\-3x-4x\ge \:4x+28-4x\\\\Simplify\\-7x\ge \:28\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\left(-7x\right)\left(-1\right)\le \:28\left(-1\right)\\\\Simplify\\7x\le \:-28\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7x}{7}\le \frac{-28}{7}\)
\(Simplify\\x\le \:-4\)
What is the measure of the angle x?
Blueface - Deadlocs
Answer:
???
Step-by-step explanation:
Answer:Blueface, baby, on the dead locs
Yeah, aight, on the dead locs
On the dead locs ooh, ooh
Finna over bleed this, lil' baby
On the dead locs on the dead loc
Step-by-step explanation:
a population is modeled by the differential equation dp dt = 1.2p 1 − p 4300 .
(a) For what values of P is the population increasing and for what values of P is
the population decreasing?
(b) If the initial population is 5500, what is the limiting pupulation?
(c) What are the equilibrium solutions?
a) the population cannot be negative, the limiting population is 4300.
b)the population is increasing when 0 < p < 4300 and decreases when p > 4300.
c)the equilibrium solutions are p = 0 and p = 4300.
(a) To determine when the population is increasing or decreasing, we need to look at the sign of dp/dt.
\(\frac{dp}{dt} = 1.2p(1 - \frac{p}{4300})\)
For dp/dt to be positive (i.e. population is increasing),
we need\(1 - \frac{p}{4300} > 0, or \ p < 4300.\)
For dp/dt to be negative (i.e. population is decreasing),
we need\(1 - \frac{p}{4300} < 0, or p > 4300.\)
Therefore, the population is increasing when 0 < p < 4300 and decreases when p > 4300.
(b) To find the limiting population, we need to find the value of p as t approaches infinity.
As t approaches infinity,\(\frac{dp}{dt}\)approaches 0. Therefore, we can set \(\frac{dp}{dt}\) = 0 and solve for p.
0 = 1.2p(1 - p/4300)
Simplifying, we get:
0 = p(1 - p/4300)
So, either p = 0 or 1 - p/4300 = 0.
Solving for p, we get:
p = 0 or p = 4300.
Since the population cannot be negative, the limiting population is 4300.
(c) Equilibrium solutions occur when\(dp/dt = 0.\)We already found the equilibrium solutions in part (b): p = 0 and p = 4300.
Therefore, the equilibrium solutions are p = 0 and p = 4300.
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a) The population is increasing when 0 < p < 4300, and decreasing when p > 4300.
b) The population cannot be negative, the limiting population is 4300.
c) these are the equilibrium solutions. At p = 0, the population is not
increasing or decreasing, and at p = 4300, the population is decreasing
but not changing in size.
(a) To determine when the population is increasing or decreasing, we
need to find the sign of dp/dt. We have:
dp/dt = 1.2p(1 - p/4300)
This expression is positive when 1 - p/4300 > 0, i.e., when p < 4300, and
negative when 1 - p/4300 < 0, i.e., when p > 4300.
Therefore, the population is increasing when 0 < p < 4300, and
decreasing when p > 4300.
(b) To find the limiting population, we need to solve for p as t approaches infinity. To do this, we set dp/dt = 0 and solve for p:
1.2p(1 - p/4300) = 0
This equation has two solutions: p = 0 and p = 4300. Since the population cannot be negative, the limiting population is 4300.
(c) To find the equilibrium solutions, we need to solve for p when dp/dt = 0. We already found that the only solutions to dp/dt = 0 are p = 0 and
p = 4300.
Therefore, these are the equilibrium solutions.
At p = 0, the population is not increasing or decreasing, and at p = 4300,
the population is decreasing but not changing in size.
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suppose that the 13th term of an arithmetic sequence is 46 and the fourth term is 100. find the expression for the general term.
To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d where a1 is the first term, d is the common difference, and n is the term number. This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.
We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d
Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or an = 124 - 6n
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a. 6 square root 2 - 5 square root 2
b. square root 11 + 3 square root 11
Step-by-step explanation:
Number A
= 6√2 - 5√2
= (6 - 5)√2
= √2
Number B
= √11 + 3√11
= (1 + 3)√11
= 4√11
Please Help Me With This Geometry Problem
Answer:
Remember that the area of a square of sidelength L is:
A = L^2
And the area of a circle of diameter D is:
A = pi*(D/2)^2
If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:
Notice that the diameter of the circle will be equal to the diagonal of the square.
And the diagonal of a square of side length L is:
d = √(2)*L
knowing that the side length of our square is 6 inches, the diameter of the circle will be:
D = √2*6in
Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.
The area of the circle is:
A = pi*(√2*6in/2)^2 = (pi/2)*36in^2
The area of the square is:
A' = (6in)^2 = 36in^2
The difference is:
A - A' = (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2
And there are 4 of these segments, then the area of every single one is one-fourth of that:
a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2
The area of each segment is:
a = (pi/2 - 1)*9 in^2
if we replace pi by 3.14, the exact area will be:
a = (3.14/2 - 1)*9in^2 = 5.13 in^2
Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the whole board by using all of his paint, what is the length of the board in feet?
Answer:
l=9 feet
Step-by-step explanation:
area of rectangle=l*w
3=1/3 l
length=9 feet
There are six counties listed in the table. Each county is generally in the shape of a rectangle. County Length Width Population Johnson 16 miles 19 miles 7,600 Greene 17 miles 24 miles 12,240 Robin 28 miles 30 miles 23,520 Clark 15 miles 21 miles 9,450 Wade 22 miles 23 miles 15,180 Beaver 20 miles 20 miles 11,600 Which towns have the same population density?
The towns in Greene, Clark, and Wade counties have the same Population density.
The same population density, we need to compare the population densities of each county. Population density is calculated by dividing the population of a county by its area. In this case, since each county is in the shape of a rectangle, we can calculate the area by multiplying the length and width.
Let's calculate the population density for each county:
County: Johnson
Area: 16 miles * 19 miles = 304 square miles
Population Density: 7,600 / 304 ≈ 25 people per square mile
County: Greene
Area: 17 miles * 24 miles = 408 square miles
Population Density: 12,240 / 408 ≈ 30 people per square mile
County: Robin
Area: 28 miles * 30 miles = 840 square miles
Population Density: 23,520 / 840 ≈ 28 people per square mile
County: Clark
Area: 15 miles * 21 miles = 315 square miles
Population Density: 9,450 / 315 ≈ 30 people per square mile
County: Wade
Area: 22 miles * 23 miles = 506 square miles
Population Density: 15,180 / 506 ≈ 30 people per square mile
County: Beaver
Area: 20 miles * 20 miles = 400 square miles
Population Density: 11,600 / 400 ≈ 29 people per square mile
From the calculations, we can see that Greene, Clark, and Wade have the same population density, approximately 30 people per square mile.
Therefore, the towns in Greene, Clark, and Wade counties have the same population density.
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can 18 7 10 make a triangle
Answer:
No, 18 7 10 are can not make a triangle.
Step-by-step explanation:
First of all, what does a Triangle?
A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.
Three sides form a triangle : if sum of length of two sides is greater than the third side. But here
10+7=17 < 18.
That is the sum of two sides (10+7) is less than the third side i.e 18
So that 18 7 10 are can not make triangle.
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Answer:
18 7 10 are can not make a triangle.
Step-by-step explanation:
Definition of a Triangle
A figure that has three sides and three angles is knows as a triangle
And a property of a triangle is that the sum of length of two sides should always be greater than the third side.
We have given the length of sides as : 18 7 10
now check it :
(i) 18 + 7 = 25 which is greater than 10
(ii) 18 + 10 = 28 which is greater than 7
(iii) 7 + 10 = 17 which is lesser than 18
so the sum of two sides (10+7) is less than the third side 18
Therefore 18 7 10 are can not make triangle.
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ONLY GIVING BRAINLYEST IF YOU ANSWER QUICKLY AND CORRECTLY!
The value of 23 + 42 = ?
Answer:
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
=23+42
=65
Which shows a set of three equivalent decimals? 0.8, 0.08, 0.800 0.8, 0.80, 0.800 8.0, 0.80, 0.800 8.0, 8.00, 0.800
Answer:
they are all equivilent
Step-by-step explanation:
Answer:
B. 0.8, 0.80, 0.800
Step-by-step explanation:
The answers are
A. The first wrestler
B.the second wrestler
C.they weighed the same
What is the range of the function g(x) = |x – 12| – 2?
{y | y > –2}
{y | y > –2}
{y | y > 12}
{y | y > 12}
The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.
To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.
The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.
By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.
Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.
Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.
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nine over twelve equals fifteen over n
A. 18
B. 20
C. 22
D. 17
Answer:
\(\frac{9}{12} = \frac{15}{y} \\(12 * 15) / 9 = 20\\B) 20\)
Step-by-step explanation:
_____ is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.
Appraisal is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.
Appraisal refers to the cognitive process through which individuals assess and evaluate the various events, situations, or occurrences that trigger emotional responses within them. It involves the interpretation and analysis of the meaning and significance of these events, which ultimately influences the emotional experience and response. During the appraisal process, individuals assess several key factors, such as the relevance of the event to their goals, the implications and consequences of the event, and the personal significance it holds for them. They also evaluate their ability to cope with or manage the event and consider the potential for future similar events. The appraisal process is subjective and influenced by individual beliefs, values, and previous experiences. Different people may appraise the same event differently, leading to variations in emotional responses.
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GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
7
Answer:
71°
Step-by-step explanation:
∠ADB=∠CBD=37°
∠ABD=∠CDB=34°
∠ABC=∠ABD+∠CBD=34°+37°=71°
-74 = 4/9x - 2 equation
Answer -162
Step-by-step explanation:
Answer:
=−162
Step-by-step explanation:
is a circle a symmetrical
Answer:
yes
Step-by-step explanation:
ny shape that has a line of symmetry is symmetrical shape.means the shape can be folded into two equal halves.
Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?
Answer:
9
Step-by-step explanation:
because area = length times with so it also means area divided by with with = length
The table and graph show the miles driven and gas used for two scooters.
Answer:
B
Step-by-step explanation:
Equation of A is
y = 0.0105x
Equation of B is
y = 0.01
B is smaller than A
pls help giving brainlyist
Answer:
\( \pi\: \& \: \sqrt 5\)
Step-by-step explanation:
\(\pi \: and \: \sqrt{5} \: are \: irrational\)
a) Calculate the size of angle x in the diagram
below.
b) Work out the bearing of A from B.
The angle x in the diagram is 98 degrees.
How to find the angles in parallel lines?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.
Therefore, let's find the angle of x using the angle relationships as follows:
The size of the angle x can be found as follows:
82 + x = 180(same side interior angles)
Same side interior angles are supplementary.
Hence,
82 + x = 180
x = 180 - 82
x = 98 degrees
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Which graph shows a line where each value of y is three more than half of x?
Answer:
Step-by-step explanation:
y= 3+x/2
2y= 6+x
put x+1
y= 7/2
now put this value in first equation
x=4
When was Stephen Hawkins born and where?
Answer:
January 8th 1942
Oxford, United Kingdom (UK)
Step-by-step explanation:
plz mark brainllist if this helped
Step-by-step explanation:
stephen Hawking was born on January 8, 1942 In oxford city of United kingdom
PLSSS HELPPPP!!!!!! i,ll give you brainliest
Answer:
last option is the answer