3 3/4 ft
7 5/6 ft
Q
Find the perimeter of this rectangle.
Perimeter =
ft
Answers
Answer:
perimeter=23 1/6 ft
Step-by-step explanation:
perimeter=(l×w) 2
(3 3/4+7 5/6)×2
(11 7/12)2
23 1/6
Related Questions
For each graphically defined function below, state the domain, the range, and the intervals over which the function is increasing, decreasing, or constant.
Answers
The domain of the function above is [-2, 3].
The range of the function above is [-2.5, 2].
The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].
The intervals over which the function is decreasing is [1.5, -2.5].
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of this rational expression (function) shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = [-2, 3] or -2 ≤ x ≤ 3.
Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.
Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].
In conclusion, the given function is not constant over any interval.
Read more on domain here: brainly.com/question/17003159
#SPJ1
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Answers
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
To solve more questions on Archimedes principle , visit the link below -
https://brainly.com/question/787619
#SPJ9
{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
What's the answer to the problem 3x-2=10
Answers
We will investigate how to solve single variable equations.
A single variable equations is an expression that contains a designated variable like ( x ) that is related to specific phenomenon which is mathematically translated to an algebraic expression. E.g:
\(3x\text{ - 2 = 10}\)Solving the equation means to determine the value of ( x ) for which the given equation is satisfied.
We will use a sequence of algebraic operators/manipulation to isolate the variable ( x ) on one side of the " = " sign.
We will add ( 2 ) on both sides of the " = " sign in the given equation:
\(\begin{gathered} 3x\text{ - 2 + 2 = 10 + 2} \\ 3x\text{ = 12} \end{gathered}\)We will then divide both sides of the " = " sign by ( 3 ) to isolate our variable:
\(\begin{gathered} \frac{3x}{3}\text{ = }\frac{12}{3} \\ \\ \text{ x =4} \end{gathered}\)Therefore, we have evaluated the value of variable ( x ) for which the equation is satisfied:
\(x=\text{ 4 }\ldots\text{ Answer}\)There are two consecutive integers such that the larger is nine more than twice the smaller. What is the larger number?
Answers
Answer:
\(\boxed{Larger \ Number = -7}\)
Step-by-step explanation:
Let the consecutive numbers be x and x+1 (Since they are coming one after another)
So, Given Condition is:
x+1 = 9 + 2(x)
x+1 = 9 +2x
Subtracting -2x to both sides
x+1-2x = 9
-x+1 = 9
Subtracting 1 from both sides
-x = 9-1
-x = 8
=> x = -8
The larger number is:
=> x+1 = -8+1 = -7
Select whether the advantage or strategy listed below was a Northern one or a Southern one Blockading ports Having a bigger population Controlling the Mississippi Having stronger military leaders
Answers
North
North
North
South
Answer:
Select whether the advantage or strategy listed below was a Northern one or a Southern one.
Blockading ports
✔ North
Having a bigger population
✔ North
Controlling the Mississippi
✔ North
Having stronger military leaders
✔ South
Step-by-step explanation:
is the point (4,7) on the line y=x+3
Answers
Answer:
Yes.
Step-by-step explanation:
To solve this, simply substitute the points into the equation:
7 = 4 + 3
7 = 7
Therefore, (4,7) is on the line.
2 - 3 cos²(x) = 2 sin(x)
Answers
The solution of the given equation are,
\(x=\frac{\pi }{2}+2n\pi , x = -0.33983 + 2n\pi , x = \pi +0.33983+2n\pi\)
What is solution of the equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other terms, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transform the equation into an equality.
Consider, the given equation
\(2-3cos^2(x)=2sin(x)\)
⇒ \(2-3cos^2(x) - 2sin(x)=0\)
Since, \(cos^2(x) = 1-sin^2(x)\)
Plug this value in the above equation.
\(2-3(1-sin^2(x))-2sin(x)=0\\2-3+3sin^2(x)-2sin(x)=0\\-1+3sin^2(x)-2sin(x)=0\\3sin^2(x)-2sin(x)-1=0\\\)
Substitute \(sin(x) = u\)
⇒
\(3u^2-2u-1=0\\3u^2-3u+u-1=0\\3u(u-1)+1(u-1)=0\\(u-1)(3u+1)=0\)
⇒
\((u-1)=0, (3u+1)=0\\u=1, u=-\frac{1}{3}\)
Back substitute: u = sin(x)
⇒
\(sin(x) = 1\\sin(x) = -\frac{1}{3}\)
For,
\(sin(x)=1 , x = \frac{\pi }{2}+2n\pi \\ sin(x)=-\frac{1}{3}, x = arcsin(-\frac{1}{3} )+2n\pi , x = \pi +arcsin(\frac{1}{3})+2n\pi\)
Combine all solutions, the we get
\(x=\frac{\pi }{2}+2n\pi , x = -0.33983 + 2n\pi , x = \pi +0.33983+2n\pi\)
To know more about the solution of the equation, click on the link
https://brainly.com/question/22688504
#SPJ1
Complete question:
Solve the equation for x, 2 - 3 cos²(x) = 2 sin(x)
Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed into the atmosphere are given in the table. The time t is measured in seconds and the units for r(t) are measured in tonnes (metric tons) per second. Note that r(t) is increasing over the interval [0, 6]. t 0 1 2 3 4 5 6 r(t) 28 18 34 48 54 60 (a) Give upper and lower estimates (in tons) for the total quantity Q(6) of erupted materials after six seconds. (Use six equal subintervals.) lower estimate Q(6) tons upper estimate tons = 016) (b) Use the midpoint rule to estimate Q(6) (in tons). (Use three equal subintervals.) Q(6) = tons Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table. t(h) 0 2 4 6 8 10 r(t) (L/h) 8.6 7.5 6.7 6.4 5.7 5.1 Find lower and upper estimates for the total amount of oil in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.) lower estimate upper estimate
Answers
Lower estimate obtained would be = 35.4 liters
Upper estimate obtained would be = 35.4 liters
What is Estimate?
Estimation finds an estimate or approximation.
An approximation is a value, amount, or size closest to the true value found by rounding off.
To find upper and lower estimates for the total quantity of erupted materials after six seconds using six equal subintervals, we can use the left endpoints and the right endpoints of the subintervals to find the estimates.
The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. Since there are six subintervals, we have:
lower estimate = (28 + 18 + 34 + 48 + 54 + 60) * (6/6) = 324 tons
The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval. We have:
upper estimate = (18 + 34 + 48 + 54 + 60 + 60) * (6/6) = 324 tons
To use the midpoint rule to estimate Q(6) using three equal subintervals, we need to find the midpoints of the subintervals. The subintervals are [0,2], [2,4], and [4,6]. The midpoints are 1, 3, and 5. The value of r(t) at these points is 18, 48, and 54 respectively. The midpoint rule estimate is given by:
Q(6) = (18 + 48 + 54) * (6/3) = 180 tons
To find lower and upper estimates for the total amount of oil leaked over the interval [0, 10] using five equal subintervals, we can again use the left endpoints and the right endpoints of the subintervals to find the estimates. The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval.
The subintervals are [0,2], [2,4], [4,6], [6,8], and [8,10]. The left endpoints are 0, 2, 4, 6, and 8, and the right endpoints are 2, 4, 6, 8, and 10. The lower estimate is obtained by using the left endpoints:
lower estimate = (8.6 + 7.5 + 6.7 + 6.4 + 5.7) * (10/5) = 35.4 liters
The upper estimate is obtained by using the right endpoints:
upper estimate = (7.5 + 6.7 + 6.4 + 5.7 + 5.1) * (10/5) = 35.4 liters
Hence, The Lower estimate obtained would be = 35.4 liters and
Upper estimate obtained would be = 35.4 liters
To know more about Estimate visit,
https://brainly.com/question/28416295
#SPJ4
What is the area of figure?
A. 56 square meters
B. 80 square meters
C. 120 square meters
D. 136 square meters
E. 152 square meters
(quiz help )
Answers
Answer:
D
Step-by-step explanation:
8×16=128
2×4=8
128+8=136m^2
answer: D
May I please have your help?
Answers
Answer:
A
Step-by-step explanation:
please say thank you and rate 5 stars and verify
In triangle ABC, ∠ABC=70° and ∠ACB=50°. Points M and N lie on sides AB and AC respectively such that ∠MCB=40° and ∠NBC=50°. Find m∠NMC.
Answers
Answer:
∠NMC = 50°
Step-by-step explanation:
The interpretation of the information given in the question can be seen in the attached images below.
In ΔABC;
∠ A + ∠ B + ∠ C = 180° (sum of angles in a triangle)
∠ A + 70° + 50° = 180°
∠ A = 180° - 70° - 50°
∠ A = 180° - 120°
∠ A = 60°
In ΔAMN ; the base angle are equal , let the base angles be x and y
So; x = y (base angle of an equilateral triangle)
Then;
x + x + 60° = 180°
2x + 60° = 180°
2x = 180° - 60°
2x = 120°
x = 120°/2
x = 60°
∴ x = 60° , y = 60°
In ΔBQC
∠a + ∠e + ∠b = 180°
50° + ∠e + 40° = 180°
∠e = 180° - 50° - 40°
∠e = 180° - 90°
∠e = 90°
At point Q , ∠e = ∠f = ∠g = ∠h = 90° (angles at a point)
∠i = 50° - 40° = 10°
In ΔNQC
∠f + ∠i + ∠j = 180°
90° + 10° + ∠j = 180°
∠j = 180° - 90°-10°
∠j = 180° - 100°
∠j = 80°
From line AC , at point N , ∠y + ∠c + ∠j = 180° (sum of angles on a straight line)
60° + ∠c + ∠80° = 180°
∠c = 180° - 60°-80°
∠c = 180° - 140°
∠c = 40°
Recall that :
At point Q , ∠e = ∠f = ∠g = ∠h = 90° (angles at a point)
Then In Δ NMC ;
∠d + ∠h + ∠c = 180° (sum of angles in a triangle)
∠d + 90° + 40° = 180°
∠d = 180° - 90° -40°
∠d = 180° - 130°
∠d = 50°
Therefore, ∠NMC = ∠d = 50°
On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the engine is running, the temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. Approximately how long will it take before the radiator fluid temperature reaches 60 degrees Fahrenheit? (HELPP)
Answers
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let y represent the temperature in Fahrenheit of the radiator after t minutes.
Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:
y = 5.4x - 18
For the radiator fluid temperature to reach 60 degrees Fahrenheit:
60 = 5.4x - 18
5.4x = 78
x = 14.4 minutes
It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit
Find out more at: https://brainly.com/question/21835898
A tank in the shape of a hemisphere has a radius of 8 feet. If the liquid that fills the tank has a density of 98.9 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
Answers
Answer:
848,775 pounds
Step-by-step explanation:
The volume of a hemisphere with radius 8 feet is:
V = (2/3)πr^3 = (2/3)π(8^3) = 268.08 cubic feet
The weight of the liquid is given by:
W = V * ρ * g
where ρ is the density of the liquid and g is the acceleration due to gravity. Plugging in the values, we get:
W = 268.08 * 98.9 * 32.2 = 848,774.7 pounds
Rounding to the nearest full pound, the total weight of the liquid in the tank is 848,775 pounds.
I can’t seem to understand this. I need 2 solutions and the work. If you could explain the work so I can do it in the future that would be great!!
Answers
Given:
Ethan is 23 years older than Evan
So, let Ethan is (x) years old
And Evan is (y) years old
So, the difference between them is 23 years old
so, x - y = 23
And the sum of Ethan and Evan's age is 43
so, x + y = 43
So, we have the following system of equations:
\(\begin{gathered} x-y=23 \\ x+y=43 \end{gathered}\)add the equations to eliminate (y):
\(\begin{gathered} (x-y)+(x+y)=23+43 \\ 2x=66 \\ x=\frac{66}{2}=33 \end{gathered}\)Now, substitute with (x) into the second equation to find (y):
\(\begin{gathered} 33+y=43 \\ y=43-33=10 \end{gathered}\)So, the answer will be:
Ethan's age = x = 33
Evan's age = y = 10
help plsssSSSSSSSSSSSSSSS
Answers
The expressions that could be used to determine the total area of the rectangle are
20(7.5 + x)
20x + 150
The correct options are the third and fifth options
Area of rectangleFrom the question, we are to determine which expressions could be used to determine the total area of the rectangle
Area of a rectangle is given by the formula,
A = l ×w
Where A is the area
l is the length
and w is the width
From the given diagram,
l = 7.5ft + xft
w = 20 ft
Thus,
Total area of the rectangle = (7.5 + x) × 20
Total area of the rectangle = 20(7.5 + x)
This expression can be used to determine the total area of the rectangle
Also,
If we simplify the expression further
20(7.5 + x)
20×7.5 + 20x
150 + 20x
= 20x + 150
∴ 20x + 150 could also be used to determine the total area of the rectangle
Hence, the expressions that could be used to determine the total area of the rectangle are
20(7.5 + x)
20x + 150
The correct options are the third and fifth options
Learn more on Calculating area of a rectangle here: https://brainly.com/question/5015825
#SPJ1
Please help i will give branliest!!!
Answers
Answer:b
Step-by-step explanation:
3.5*5*.5=8.75
y=1/2x+2 y=1/3x+2 solve for graphing
Answers
Answer:
I plotted it out on the graph and here it is:
In July, a paleontologist found 368 fossils at a dig. In August, she found about 14 fossils per day.
Is the number of fossils the paleontologist found in August proportional to the number of days she spent looking for fossils that month?
Answers
Answer: Yes
Step-by-step explanation:
The ratios of number found to the number of days are all equal to 14 fossils per day.
(Plus I just did this and got it wrong but saw the right answer which is this)
Answer:
nppppppppp
Step-by-step explanation:
A college offers shuttle service from Ball Hall or Lot A to its campus quad. Both shuttles first depart their locations at 9:25 A.M. They run from each location to campus and back at the intervals shown. When is the next time both shuttles will depart for campus at the same time? Explain.
Ball Hall: 30 minutes
Lot A: 20 minutes
Answers
Using the lowest common factor of the shuttles' run times, they will depart again for the campus simultaneously at 10.25 A.M.
How is the time determined?We can use the lowest common factor (LCM) of their run time to determine when they depart again for the campus.
The lowest common factor of 30 and 20 is 60 because both 30 and 20 can divide 60 evenly without a remainder, showing that it takes 60 minutes for the two shuttles to depart for the campus at the same time.
We can conclude that every 60 minutes or hour, the two shuttles simultaneously depart for the campus. Every hour, the shuttle departing from Ball Hall completes 2 runs, while the shuttle departing from Lot A completes 3 runs.
Thus, using the lowest common factor, the next time both shuttles will depart for the campus at the same time is 10:25 A.M.
Learn more about the lowest common factor (LCF) at https://brainly.com/question/8393834
#SPJ1
Yes or no math questions will give brainlest
Answers
Answer:
Problem 13: NO
Problem 14: YES
Step-by-step explanation:
HOPE IT HELPS YOU IN YOUR LEARNING PROCESS.
Describe each of the following values as (A) a discrete random variable, (B) a continuous random variable, or (C) not a random variable: 1. Exact weight of quarters now in circulation in the United States 2. Shoe sizes of humans 3. Political party affiliations of adults in the United States A.
Answers
Answer:
1. Is a continuous random variable
2. Is a discrete random variable
3. Is not a random variable
Step-by-step explanation:
1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.
2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.
3. Political party affiliation is not a random variable.
Thank you!
What is the average rate of change for this quadratic
function for the interval from x=2 to x = 4?
A. 12
B. -6
C. -12
D. 6
-10-
Click here for long description
SUBMIT
Answers
The average rate of change of the function over the interval is -6
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
The graph
The interval is given as
From x = 2 to x = 4
The function is a quadratic function
This means that it does not have a constant average rate of change
So, we have
f(2) = -3
f(4) = -15
Next, we have
Rate = (-15 + 3)/(4 - 2)
Evaluate
Rate = -6
Hence, the rate is -6
Read more about average rate of change at
brainly.com/question/17131025
#SPJ1
Write the slope-intercept form of the equation for each line.
Answers
Step-by-step explanation:
points on the line: (4, -2) & (-5, 3)
gradient of the line = -5/9
general equation for all straight lines: y = mx + c
substitute one coordinate and the gradient into the equation. 3 = (-5/9)(-5) + c
therefore, c = 2/9
so the general equation is y = (-5/9)x + 2/9
Describe the transformations of the following equation:
Captionless Image
reflect over x-axis, left 2, up 2
reflect over y-axis, left 2, up 2
left 2, up 2
reflect over x-axis, right 2, up 2
Answers
The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.
The given function is a logarithmic function and it is undefined at x = 0.
First, let us understand the logarithmic function:
A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.
We are given:
p(x) = log 5x
substitute x = 0 in the above equation, we will get;
p(0) = log 5 × 0
p(0) = log 0
p(0) = undefined
Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.
To learn more about logarithmic function visit:
brainly.com/question/1616298
#SPJ1
Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.
Captionless Image
p(-2) > p(0)
p(-2) < p(0)
p(-2) and p(0) cannot be compared because p(-2) is undefined.
p(-2) and p(0) cannot be compared because p(0) is undefined.
will mark brainliest help please
Answers
Which expression is equivalent to (3x+2)(3x-5)?
Answers
Answer:
9x^2-9x-10
Step-by-step explanation:
im not sure what the question is asking but if u multiply it all out that is what it equals
hope this helps
What rule (i.e. R1, R2, R3, R4, or R5) would you use for the hawk and for the grizzly bear? a. R2 and R5 b. R1 and R3 c. None of the above d. R1 and R4
Answers
Answer:
I NEED POINTS
Step-by-step explanation:
Repost of the last question.. Sorry it wasn't full.
someobe please help me here
Answers
Answer:
\(y < -\frac{4}{5} x+4\)
Step-by-step explanation:
To graph the equation, draw the line \(y = -\frac{4}{5} x+4\) and shade in the lower left part of the graph under the line to illustrate the inequality
Then pick two points to test
Write the equation of the line in fully simplified slope-intercept form.
-12-11-10-9-
12
11
10
9
R
5
4
2
654-3-2-1
-2
3
4
-5
-6
-8
6
-10
-11
-12
34567 8 9 10 11 12
Answers
The equation of the line in fully simplified slope-intercept form is y = x + 7.
We have,
From the graph,
The coordinates of the line are:
(0, 7), (-7, 0), and (-2, 5).
We can use any coordinates the line touches on the graph.
We will use,
(0, 7) and (-7, 0)
The equation can be written in the form y = mx + c
m = (0 - 7) / (-7 - 0)
m = -7/-7
m = 1 ______(1)
And,
(0, 7) = (x, y)
So,
y = mx + c ______(2)
7 = 1 x 0 + c
7 = c
c = 7 ______(3)
Now,
From (1), (2), and (3).
y = x + 7
Thus,
The equation of the line in fully simplified slope-intercept form is y = x + 7.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ1
Bill needs to edge his yard with the dimensions in the shape below. What area will he have walked after completing his edging? Round your answer to one decimal place. Do not include units in your answer.
Answers
Answer:
37.8
Step-by-step explanation:
The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m.
Using Pythagorean theorem:
d² = h² + b²
d² = 5² + 3²
d = √34
d = 5.8 m
Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters
Credits to:jbiain