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Related Questions
there is a severe shortage of critical care doctors and nurses to provide intensive-care services in hospitals. to offset this shortage, many hospitals, such as emory hospital in atlanta, are using electronic intensive-care units (eicus) to help provide this care to patients (emory university news center). eicus use electronic monitoring tools and two-way communication through video and audio so that a centralized staff of specially trained doctors and nurses - who can be located as far away as australia - can provide critical care services to patients located in remote hospitals without fully staffed icus. one of the most important metrics tracked by these eicus is the time that a patient must wait for the first video interaction between the patient and the eicu staff. consider the following sample of patient waiting times until their first video interaction with the eicu staff. click on the datafile logo to reference the data. wait time (minutes) 40 46 49 44 45 45 38 51 42 46 41 45 49 41 48 42 49 40 42 43 43 42 41 41 55 43 42 40 42 40 49 43 44 45 61 37 40 37 39 43 a. compute the mean waiting time for these patients (to decimals). minutes b. compute the median waiting time (to decimals). minutes c. compute the mode (to decimal). minutes d. compute the first and third quartiles (to decimals). first quartile: minutes third quartile: minutes
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The eICU waiting time data consists of 40 patient wait times in minutes. The mean wait time is 43.3, there is no comparison given, mode is 42, and first and third quartiles are 41 and 45 respectively.
a. To compute the mean waiting time for the 40 patients, we need to add up all the waiting times and then divide by the total number of patients. The mean waiting time can be calculated as follows:
(40 + 45 + 42 + 49 + 49 + 43 + 55 + 42 + 44 + 40 + 46 + 45 + 46 + 41 + 40 + 42 + 43 + 40 + 45 + 37 + 49 + 38 + 41 + 48 + 42 + 41 + 42 + 49 + 61 + 39 + 44 + 51 + 45 + 42 + 43 + 41 + 40 + 43 + 37 + 43) / 40 = 44.5 minutes
So the mean waiting time for the 40 patients is 44.5 minutes.
b. To compare the mean waiting time, we would need a reference point, such as the average waiting time for similar patients in a different hospital, or the target waiting time set by the hospital or healthcare organization. Without this information, we cannot make a comparison.
c. To compute the mode, we need to find the value that occurs most frequently in the data set. The mode of the waiting times is 42 minutes, as it occurs the most (3 times).
d. To compute the first and third quartiles, we need to order the data set from smallest to largest and then find the values that correspond to the 25th and 75th percentiles. The first quartile (Q1) represents the 25th percentile and the third quartile (Q3) represents the 75th percentile. The formula for finding the quartiles is as follows:
Q1 = (n + 1) / 4 * (th) value
Q3 = (3n + 3) / 4 * (th) value
Where n is the number of values in the data set and th value represents the th ordered value.
So for the 40 waiting times, Q1 can be calculated as follows:
Q1 = (40 + 1) / 4 * (10th) value = 10.25th value = 41 minutes
And Q3 can be calculated as follows:
Q3 = (3 * 40 + 3) / 4 * (30th) value = 30.75th value = 46 minutes
So the first quartile (Q1) is 41 minutes and the third quartile (Q3) is 46 minutes.
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Complete question is in the image attached
Joanna bought three circular rugs to put in her bedroom. Each rug has a 4 ft radius. What is the area of her floor that will be covered by rugs?
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Answer:
The area of a circle can be calculated using the formula:
Area = π x radius^2
where π (pi) is a mathematical constant approximately equal to 3.14159.
Since each rug has a radius of 4 feet, the area of one rug is:
Area = π x 4^2
Area = 16π square feet
To find the total area covered by the three rugs, we need to multiply the area of one rug by three:
Total area = 16π square feet x 3
Total area = 48π square feet
Using a calculator, we can approximate the value of π to two decimal places as 3.14, so the total area covered by the three rugs is:
Total area ≈ 48 x 3.14 square feet
Total area ≈ 150.72 square feet
Therefore, Joanna's bedroom floor will be covered by approximately 150.72 square feet of rugs.
What is the length of line segment AB with endpoints A (-2, 3) and B (1, 2)?
Pls I need help ASAP
Answers
Answer:
Square root of 10.
Step-by-step explanation:
To solve, you would find the hypotenuse of a right triangle. the length, which is from -2 to 1, is 3. The height, from 2 to 3, is 1. that means, you square 3, so 9, and square 1, which is 1. You add those which give you 10. The hypotenuse, or the distance from point A to point B is the square root of 10, or 3.16...
If you don’t know pease be mature and don’t answer I really need the answers
What is the equation of the line that has a slope of 2 and goes through the point (4, -1)
y = 2x - 9
y = 2x - 5
y = 2x - 1
y = 2x + 9
Write the equation of the graph.
y−3=12(x+1)
y+3=−12(x−1)
y=12x+5
y−3=−12(x+1)
What is the slope of a line whose equation is 3x−4y=8
?
−43
−34
34
43
What is the equation below in slope-intercept form?
15x−3y=−12
y = -4x + 8
y = -15x -12
x = 3y - 12
x - y = 6
Answers
Answer:
1. Given the slope is 2, the equation now looks like y = 2x +b Given P (−1,4) we can solve for the b variable by substituting the x and y cordinates. 4 = 2 ⋅ (− 1) + b 4 = − 2 + b b = 6 Therefore the equation that has the slope of 2 and passes through the point (− 1,4) is y = 2x + 9 so it is d
2. i you can do that.
3. The equation for the slope of a line and the points also called point slope form of equation of a straight line is given by: y − y1 = m (x − x1) Whereas the slope-intercept form the equation of the line is given by: y = mx + b. Where b is the y-intercept.
4.In the formula,y = the y-coordinate of any point on the line,m = slope,x = the x-coordinate of any point on the line,and b = ...
Plug the slope and y-intercept into the formula. Remember,the slope is equal to the rise over the run.
You need to know these
Someone solve this please
Answers
Answer:
the pyramid is 80 ft² and the rectangular prism is 240 ft²
Step-by-step explanation:
HELP PLEASE Rectangular prism with a length, width, and height of 1/5 cm, 4/5cm, and 3/5 cm, respectively
Answers
Answer:
Step-by-step explanation:
To find the volume of a Rectangular prism you have to do W*H*L
L=1/5
W=4/5
H=3/5
So just multiply them all and you get .0096 cm^3
Then you need to calculate the area of the 2 end triangles and the 3 rectangular sides and then add them all together.
To help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed.
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the cutoff score that will make a student eligible for the program is approximately 94.8. Any student who scores below this cutoff will be eligible for the reading program
To determine the cutoff score, we need to find the score that corresponds to the bottom 5% of the distribution. Since the variable is normally distributed, we can use z-scores to calculate the cutoff. The z-score corresponding to the bottom 5% is -1.645, which represents the critical value for a one-tailed test at a significance level of 5%.
To find the cutoff score, we use the formula: cutoff score = mean - (z-score x standard deviation). Plugging in the values, we have: cutoff score = 122.6 - (-1.645 x 18) = 122.6 + 29.91 = 152.51.
Therefore, the cutoff score that will make a student eligible for the program is approximately 94.8. Any student who scores below this cutoff will be eligible for the reading program
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Help please this is not a quiz I need help I’m practicing and I don’t understand
Answers
Solution:
Since the height of the freefall is parabolic as shown below,
the standard form of expressing a parabola is given as
\(\begin{gathered} y=a(x-h)^2+k\text{ ----- equation 1} \\ \text{where} \\ (h,k)\text{ is the coordinate of the vertex of the parabola} \end{gathered}\)Step 1: Evaluate the coordinate of the vertex of the parabola.
In the above graph, the coordinate of the vertex is (0,0).
Thus,
\(\begin{gathered} h=0 \\ k=0 \end{gathered}\)Step 2: Substitute the values of h and k into equation 1.
Thus,
\(\begin{gathered} y=a(x-h)^2+k \\ h=0,\text{ k=0} \\ y=a(x-0)^2+0 \\ \Rightarrow y=ax^2\text{ ----- equation 2} \end{gathered}\)Step 3: Select a point on the curve, and substitute the values of x and y into equation 2, to obtain a.
Thus, using the point (0.2, -3) as shown above, where x=0.2 and y=-3, we have
\(\begin{gathered} y=ax^2 \\ x=0.2,\text{ y=-3} \\ \Rightarrow-3=a(0.2)^2 \\ -3=0.04a \\ \Rightarrow a=-\frac{3}{0.04} \\ a=75 \end{gathered}\)Substitute the value of a into equation 2.
Thus,
\(\begin{gathered} y=75x^2 \\ \text{where} \\ y\Rightarrow h(d) \\ x\Rightarrow d \end{gathered}\)Hence, the function that describes these coordinates is expressed as
\(h(d)=75d^2\)
Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2? A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1). A coordinate plane with a line passing through (negative 3, 0) and (0, 2). A coordinate plane with a line passing through (0, 2) and (2, negative 1). A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
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The line equation is y=x-2. The graph that represents y=x-2 is graph line that connects points (-2,-4) and (0,-2).
Given that,
We have to find which graph depicts a line having the same slope as the line y = x - 2 and the same y-intercept.
The line equation is y=x-2.
To do this, we only test the possibilities up until the ideal graph is obtained.
From the graph,
A line that connects points (-2,-4) and (0,-2)
This means that:
(x₁,y₁)=(-2,-4)
(x₂,y₂)=(0,-2)
Substitute values for x₁ and y₁ in y=x-2
-4=-2-2
-4=-4
This point is true for y=x-2
Substitute values for x₂ and y₂ in y=x-2
-2=0-2
-2=-2
This point is also true for y=x-2
Therefore, the graph that represents y=x-2 is graph line that connects points (-2,-4) and (0,-2).
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the difference of a number t and 7 is greater than 10 and less than 20. write as an equation or inequality
Answers
Answer:
20>x-7>10
hope it will help you
H&X Co. uses a standard job cost system with a normal capacity of 25,900 direct labour hours. H&X Co. produces 12,800 units, which
cost $215,100 for direct labour (23,900 hours), $28,928 for variable overhead, and $139,520 for fixed overhead. The standard
variable overhead per unit is $2 (2 hours at $1 per hour), and the standard fixed overhead per unit is $10.00 (2 hours at $5.00 per
hour).
Calculate the fixed overhead production volume variance.
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The fixed overhead production volume variance is $11,520. The fixed overhead production volume variance measures the difference between the actual fixed overhead incurred and the standard fixed overhead based on the standard production volume. It indicates the impact of producing a different volume of units than the standard volume on fixed overhead costs.
Standard production volume: 25,900 direct labor hours
Actual production volume: 23,900 direct labor hours
Actual fixed overhead: $139,520
Standard fixed overhead per unit: $10.00
To calculate the fixed overhead production volume variance, we need to determine the difference between the standard fixed overhead based on the standard production volume and the actual fixed overhead incurred for the actual production volume.
First, we calculate the standard fixed overhead based on the standard production volume:
Standard fixed overhead = Standard fixed overhead per unit * Standard production volume
= $10.00 * 12,800 units
= $128,000
Next, we calculate the fixed overhead production volume variance:
Fixed overhead production volume variance = Actual fixed overhead - Standard fixed overhead
= $139,520 - $128,000
= $11,520
The fixed overhead production volume variance is $11,520.
This variance indicates that producing 12,800 units with an actual production volume of 23,900 direct labor hours resulted in a higher fixed overhead cost than expected based on the standard production volume. It suggests that the deviation from the standard production volume had an impact on fixed overhead expenses.
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What is the area of the parallelogram?
A parallelogram has a base of 3 feet and height of 2 and one-half feet.
7 and one-half feet squared
9 feet squared
10 and one-half feet squared
12 feet squared
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Answer:
7 and one-half feet squared
Step-by-step explanation:
3 x 2.5 = 7.5
Find the measure of angle b. Note that the measure of angle b is acute. Round to the nearest degree.
Answers
Answer:
60.75
Step-by-step explanation:
sinA sinB
------- = -----
a b
sin(79)/9 = sinB/8
inverse sin B = 0.87
B = 60.75
What is the difference between different types of integer models
namely total integer model, 0-1
integer model & mixed integer model, explain briefly in our own
words?
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Different types of integer models refer to different formulations and restrictions applied to the variables in mathematical optimization problems. Here are brief explanations of three commonly used types of integer models: total integer model, 0-1 integer model, and mixed integer model.
1. Total Integer Model: In a total integer model, all variables are required to take integer values. This means that the solution must consist of only whole numbers, without any fractional or decimal values. For example, if a variable represents the number of units to produce, a total integer model would ensure that only whole units can be produced.
2. 0-1 Integer Model: In a 0-1 integer model, the variables are binary and can only take two values: 0 or 1. This formulation is often used for decision variables that represent choices or binary decisions, such as selecting or not selecting a particular option. For example, in a facility location problem, a 0-1 integer variable can represent whether a facility is open (1) or closed (0).
3. Mixed Integer Model: A mixed integer model allows a combination of integer and continuous variables in the optimization problem. Some variables can take fractional or decimal values (continuous), while others must take integer values. This formulation is useful when there is a need to model both discrete decisions and continuous quantities in the same problem. For example, in a production planning problem, the number of machines (integer) and the amount of raw material used (continuous) can be decision variables in a mixed integer model.
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At a certain company, the monthly salary of project managers can be modeled by the function f(x) = x4 – 10x 2 + 10,000, where x is the number of years of employment. After how many years would a project manager be eligible for a $20,000 monthly salary? after working for exactly 10 years after working for at least 10 1/4 years after working for exactly 12 years after working for at least 12 1/4 years
Answers
Answer:
after working for at least 10 1/4 years
Step-by-step explanation:
After working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
What is the formula to solve quadratic equation?A quadratic equation, \(ax^{2} +bx+c=0\) is solved by
\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
Given function \(f(x)=x^4-10x^2+10000\)
Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)
\(x^4-10x^2+10000-20000=0\)
\(x^4-10x^2-10000=0\)
Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)
\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)
\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)
\(x^2=\frac{10 \pm 200.2}{2}\)
\(x^2=5 \pm 100.1\)
\(x^2=105.1\)
\(x=\sqrt{105.1}\)
\(x=10.25\)
Hence, after working for at least 10 1/4 years a project manager would be eligible for a $20,000 monthly salary.
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What is the center and radius of the circle? (x-4)^2 + (y-7)^2 =49
Answers
Answer:
The center of circle is: (-7,4) and Radius is 7 units
or (-4,7) and Radius is 7 units
We have to compare the given equation of circle with standard equation of circle
Given equation is:
2nd pic
down below
Standard equation of circle is:
3rd pic
down below
Here
h and k are coordinates of center of circle
So,
comparing
1st pic
down below
Hence,
The center of circle is: (-7,4) and Radius is 7 units
Keywords: Circle, radius
Answer:
The center is ( 4 , 7)The radius is 7Step-by-step explanation:
First expand the equation
That's
( x - 4)² + ( y - 7)² = 49
x² - 8x + 16 + y² - 14y + 49 - 49 = 0
x² + y² - 8x - 14y + 16 = 0
Comparing with the general equation of a circle
x² + y² + 2gx + 2fy + c = 0
2g = - 8 2f = - 14
g = - 4 f = - 7 c = 16
Center of a circle is ( - g , - f)
( --4 , --7)
Which is ( 4 , 7)
The radius of the circle is given by
r = √g² + f² - c
Where r is the radius
r = √ (-4)² + (-7)² - 16
= √16 + 49 - 16
= √49
= 7Hope this helps you
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Quiz Active
Choose the function that represents the data in the table.
X
0
1
f(x)
-3
O f(x) = ²/-3
m
f(x)=2x-3
f(x) = x² - 3
f(x) = 2x²-3
2
1
33
45
5
5
7
TIME REMAINI
59:45
Answers
Required function is f(x) = 2x-3.
What is function?
In mathematics, a function is a rule or a set of rules that assigns a unique output value to each input value. In other words, it is a way of relating one quantity to another. Functions are used in a variety of fields, such as engineering, physics, economics, and computer science, to describe relationships between variables.
An example of a function is the quadratic function f(x) = x² + 2x + 1. This function takes an input value x and produces an output value that is the result of squaring x, multiplying it by 2, and adding 1. For instance, if we substitute x = 3 in the function, we get:
f(3) = 3² + 2(3) + 1 = 9 + 6 + 1 = 16
To determine which function represents the data in the table, we need to substitute the given values of x into each function and compare the results with the corresponding values of f(x) given in the table.
If we use the function f(x) = 2x-3, we get:
f(0) = -3
f(1) = -1
f(2) = 1
f(3) = 3
f(4) = 5
f(5) = 7
We can see that these values match with the values given in the table, so the function that represents the data in the table is:
f(x) = 2x-3.
Therefore, we can conclude that the function f(x) = 2x-3 represents the data in the table.
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How can you prove the triangle sum theorem?
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The sum of angle in a triangle is 180°
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
The sum of angle A, B and C is 180 i.e A+B +C = 180°
Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180
How do we prove that the sum of angle in a triangle is 180°?
Since triangle is 3 sided, n= 3, because n denote the number if sides
therefore the sum of angle = (n-2) 180 = (3-2)×180
= 180°
therefore the sum of angle In a triangle is 180°
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City P has a temperature of −4 °F. City Q has a temperature of −8 °F.
Use the number line shown to answer the questions:
Number line from negative 8 to positive 8 in increments of 1 is shown.
Part A: Write an inequality to compare the temperatures of the two cities. (3 points)
Part B: Explain what the inequality means in relation to the positions of these numbers on the number line. (4 points)
Part C: Use the number line to explain which city is warmer. (3 points
PLEASE EXPLAIN PART A AND B AND C
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Hello! This is a very long and complex question that sadly, I won't be able to solve for you. I just wanted to say that the girl above me seems like she tried really hard to give you that answer so u should mark her brainliest!
Have a great day/night! :)
Solve: 4x² = 32
A. x = 4
B. x = ±8
C. x = ± √4
D. x = ± √8
Answers
Answer:
D
Step-by-step explanation:
4x²= 32
x²= 32 ÷4 (÷4 on both sides)
x²= 8
x= ±√8 (square root bith sides)
☆ A '±' symbol has to be added whenever we introduce a square root as the square of any number, positive or negative, would result in a positive number.
Elerick made 20 baskets during a basketball game. The number of 3-point shots was two more than half the number of 2-point shots. How many of each type of shot did he make? How many total points did he get?
Answers
Answer:
12 2-point shots and 8 3-point shots48 points in generalStep-by-step explanation:
The number of 3-point shots made is two more than half of the number of 2-point shots made.
Assume the number of 2-point shots is x.
Number of 3-point = 0.5x + 2
The relevant expression will be:
x + (0.5x + 2) = 20
1.5x + 2 = 20
1.5x = 20 - 2
x = 18/1.5
x = 12 shots
3 point shots = 20 - 12 = 8
There were 12 2-point shots and 8 3-point shots.
Total points :
= (12 * 2) + (8 * 3)
= 48 points
( help me please ) ….
Answers
Answer:
The slope is 6/5, ;)))))))
I will give you a brainlists if u answere correct what is 59267+1726548=?
.I will put the answere in my next post
Good luck
Answers
Answer:
The answer is 1,785,815
1,785,815 their is your answer
20 points!
I need help on these!
Answers
17) -2
18) -5
19) -10
That’s all.
Answer:
Step-by-step explanation:
16) -40
17) -2
18) -5
19) -10
That’s all.
f(x) = 2x^2 – 3x – 9
g(x) = 4x^2 - 9
Find ( f/g)(x).
Answers
Answer:
(f/g)x = (x - 3)/(2x - 3)
Step-by-step explanation:
Try and see if f(x) can be factored.
g(x) = (2x - 3) (2x + 3)
That means that perhaps f(x) has one of these two factors.
(2x 3)(x 3)
You want the 2x and 3 to multiply. The middle term has to be -, so when 2x and 3 multiply likely it is 3 that gives you the minus answer.
(2x + 3)(x - 3) should be the way f(x) factors, and it is.
f(x) / g(x) = (2x + 3) (x - 3)
(2x + 3)(2x - 3)
2x + 3 cancels. The answer is
(f/g)x = (x - 3)/(2x - 3)
A $108,000 down payment would be? of the purchase price.
Answers
Answer: 10.8%
Step-by-step explanation:
The question is asking what the percentage of the down payment is of the purchase price of the house.
For such a question, the purchase price needs to be known.
We shall therefore assume a purchase price and you can use the process to find out your percentage.
Assume the purchase price is $1,000,000.
The percentage would be:
= Down payment / Purchase price * 100%
= 108,000 / 1,000,000
= 10.8%
Answer:
10.8%
Step-by-step explanation:
see above
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 0.25, find tan ∠A. tan ∠A =
Answers
The solution of the given problem of triangle comes out to be tan ∠A = 0.25.
What exactly does a triangle mean?Triangles are called polygons if they have four quadrants or more. Its form is a simple geometric figure. When put together, the characters ABC create a right-angled triangle. When the boundaries are incompatible, Euclidean geometry generates a new rectangle with square corners. Triangles are regarded as polygons because they have three edges and three corners.
Here,
Since △ABC is a right triangle with m∠C = 90°, we know that m∠A + m∠B = 90°.
Using the fact that tan ∠B = opposite/adjacent, we can set up a ratio using a common factor, x, for the opposite and adjacent sides of ∠B:
tan ∠B = 0.25 = opposite/adjacent = x/4x
Simplifying the right side, we get:
0.25 = x/4x = 1/4
Multiplying both sides by 4x, we get:
x = 4
So the opposite side of ∠B has length x = 4, and the adjacent side has length 4x = 16.
Using the Pythagorean theorem, we can find the length of the hypotenuse of △ABC:
c² = a² + b²
c² = 4²+ 16²
c² = 256
c = √256
c = 16
Now, we can use the fact that tan ∠A = opposite/adjacent to find tan ∠A:
tan ∠A = opposite/hypotenuse = 4/16 = 1/4
Therefore, tan ∠A = 0.25.
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Place the expression that makes the sentence true.
Mark brought $20 to a baseball game. He bought 2 drinks while at the game. Mark set up
an expression to model his situation, where d represents the cost of a drink.
What expression models the amount of money Mark has after the game?
Answers
Answer:
20-2d=x
Step-by-step explanation:
we need the amount that he has so that we could figure the amount each drink cost but this is the answer
Please help me with my math homework! It’s due soon!
Answers
Answer:
The slope of the line is -2.
Step-by-step explanation:
Rise/Run
you have 2 points on the graph since this is a negative slope you start on the top point
you count straight down up to your next point and you should get 8.
then you count to the right to your next point and should get 4.
that would give you 8/4 as your slope.
8/4 simplified is 2.
The slope is 2
While shopping, Randel had 3 times as much money Tonia.
He spent $38 and has $10 left.
How much money does Tonya have?
Answers
Answer:
Step-by-step explanation:
First create an equation that addresses the question and work backwards.
Randel starts with $10.
He spent $38, so he originally had $48. (10+38)
He had 3 times as much money than Tonia. (48/3)
48/3=16, so Tonia has $16.