The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .
In the question ,
it is given that
the required line is perpendicular to 4x + 4y =32
the slope of 4x + 4y =32
4y = -4x + 32
y = -x + 8
slope = -1
so the slope of the perpendicular line [tex]=[/tex] 1 .
the equation of the perpendicular line passing through (7,1) and slope as 1 is
(y - 1) [tex]=[/tex] 1 (x - 7)
y-1 = x-7
x - y = 7-1
x - y = 6
Therefore , The equation of the line perpendicular to 4x + 4y =32 that passes through the point (7,1) is x - y = 6 .
Learn more about Equation of Line here
https://brainly.com/question/28926898
#SPJ1
someone include steps if you can
Using the concept of the equation, it can be concluded that Levi answered the first question wrong and the last two correctly. Thus,
No
Yes
Yes
How to check whether the value of x satisfies the equation?To check the value of x satisfies the equation, put the value of x and if it matches the resultant, it is correct.
Now solving the first part, x/4=20;x=5
So, putting x=5 in the equation 5/4=1.25 is not matching with the resultant ie. 20.
Therefore, this is the incorrect value of x.
Now solving the second part, 1.5x-8=7;x=10
So, putting x=10 in equation 1.5*10-8= 15-8=7
It matches with the resultant.
Therefore, this is the correct value of x.
Now solving the third part, 4x+6=58; x=13
So, putting x=13 in equation 4(13)+6= 52+6=58
It matches with the resultant.
Therefore, this is the correct value of x.
To know more about equations, visit:
https://brainly.com/question/10413253
#SPJ13
1. Graph the system of constraints and find the value of x and y that maximize the objective function.
Constraints { x ≥ 0; y ≥ 0; y ≤ 1/5 x + 2; 5 ≥ y + x
Objective Function: C = 7x - 3y
A. (0, 0)
B. (2, 3)
C. (5, 0)
D. (0, 3)
The point in the feasible region maximizes the objective function is (5, 0)
How to determine the feasible region?The given parameters are
Objective function: C = 7x - 3y
Subject to (i.e. the constraints)
x ≥ 0, y ≥ 0
y ≤ 1/5x + 2, 5 ≥ y + x
Next, we plot the graph of the constraints (see attachment)
This is done by entering the inequalities in a graphing calculator
From the graphing calculator, we have the feasible regions to be
(5, 0), (2.5, 2.5) and (0, 5)
Substitute (5, 0), (2.5, 2.5) and (0, 5) in the objective function: C = 7x - 3y
So, we have
(5, 0): C = 7(5) - 3(0)
C = 35
(2.5, 2.5): C = 7(2.5) - 3(2.5)
C = 10
(0, 5): C = 7(0) - 3(5)
C = -15
The value 35 is greater than 10 and -15
The coordinates at this value are (5, 0)
Hence, the coordinates is (5, 0)
Read more about objective functions at
brainly.com/question/14309521
#SPJ1
Please help me. Please don’t give me a answer on the internet
Answer
A) f(w) = 80w + 30
B) w represents the number of weeks and f(w) the number of flowers that bloomed
C) 2830 flowers
Step-by-step explanation
A) To find the function f, which represents the number of flowers that bloomed, as a function of w, the number of weeks, we have to evaluate f(s) with s = s(w) = 40w, as follows:
[tex]\begin{gathered} f(s)=2s+30 \\ \text{ Substituting }s=s(w), \\ f(s(w))=2s(w)+30 \\ \text{ Substituting }s(w)=40w \\ f(s(w))=2\cdot40w+30 \\ f(w)=80w+30 \end{gathered}[/tex]B) w represents the number of weeks and f(w) the number of flowers that bloomed, like before.
C) Substituting w = 35 weeks into f(w), we get:
[tex]\begin{gathered} f(w)=80(35)+30 \\ f(w)=2800+30 \\ f(w)=2830\text{ flowers} \end{gathered}[/tex]Rectangles ABCD and DEFG are congruent
AB=7cm
AD=17cm
Work out the length of CE
The length of CE is 7cm
How to determine the lengthTo determine the length, we need to consider the properties of a rectangle, we have;
It is a quadrilateralOpposite sides are known to be parallel and congruent to each otherThe interior angles are equal to 90 degreesDiagonals bisect each other at right anglesThe two diagonals have the same lengthRectangle having side lengths of x and y has the perimeter as 2x+2y unitsA rectangle with side lengths x and y has its area as: xy sin 90 = xy square unitsA diagonal of a rectangle is said to be the diameter of its circumcircleFrom the information given, we have that;
AB = 7cm
AD = 17cm
Then, line CE = line AB
But line AB = 7cm
CE = 7cm
Hence, the length is 7cm
Learn more about rectangles here:
https://brainly.com/question/25292087
#SPJ1
Please help! i would be able to learn the answer if i took some time but pls just help me so i don't have to. simplify: 4 1/5 + 3 2/3 + 1 1/6. a: 8 11/30. b: 7 13/15. c: 9 1/30. or d: 9 1/5
The value of expression 4 1/5 + 3 2/3 + 1 1/6 is 9 1/30
Given that,
to simplify: 4 1/5 + 3 2/3 + 1 1/6
Mixed fraction definition?
It is a type of fraction, and those that have both a fraction and a whole number are considered to be it.
How to convert Improper fraction to a mixed fraction?
Divide the fraction's numerator by its denominator, or 15/7, in step one.
Second Step: Since 2 is an integer, the answer's integer component will be a mixed fraction.
Step 3: The original denominator of seven will be used as the denominator.
Step 4: The incorrect fraction 15/7 is now a mixed fraction with the value 2 (1/7)
To simplify ,
4 1/5 + 3 2/3 = 7 13/15
7 13/15 + 1 1/6 = 9 1/30
Therefore the correct answer is 9 1/30
To learn more about expression click here:
brainly.com/question/14083225
#SPJ4
Evaluate. 34+(12+14)2⋅2 Enter your answer as a mixed number in simplest form by filling in the boxes. $$
The result of 34+(12+14)2.2 in the mixed fraction is [tex]91\frac{1}{5}[/tex]
The expression is
34+(12+14)2.2
The mixed fraction is defined as the fraction that consist of one whole number part and a simple fraction part. simple fraction is the fraction that consist of numerator and denominator as whole numbers. The top term of the simple fraction is called numerator and bottom term of the simple fraction is called denominator.
The expression is
=34+(12+14)2.2
First do the arithmetic operation in the bracket
= 34 + 26×2.2
Do the Multiplication
= 34+57.2
= 91.2
Convert the decimal form to simple fraction
91.2 = 456/5
Convert the simple fraction to the mixed fraction
456/5 = [tex]91\frac{1}{5}[/tex]
Hence, The result of 34+(12+14)2.2 in the mixed fraction is [tex]91\frac{1}{5}[/tex]
Learn more about mixed fraction here
brainly.com/question/2753661
#SP1
Given g(x)=−23(x−4)2+3, g ( x ) = − 2 3 ( x − 4 ) 2 + 3 , what is the value of g(–5)? *Type in your answer. g(–5) =
The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.
What is the output value of g(-5) in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
g( x ) = −23( x - 4 )2 + 3g( -5 ) = ?To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.
g( x ) = −23( x - 4 )2 + 3
g( -5 ) = −23( -5 - 4 )2 + 3
g( -5 ) = −23( -9 )2 + 3
g( -5 ) = −23( -9 × 2) + 3
g( -5 ) = −23( -18) + 3
g( -5 ) = ( -23 × -18) + 3
g( -5 ) = ( 414 ) + 3
g( -5 ) = 414 + 3
g( -5 ) = 417
Therefore, the output value of g( -5 ) is 417.
Learn more about functions here: brainly.com/question/2541698
#SPJ1
what is equivalent to 0.5×0.6
Answer: 0.3
5/10 x 6/10 = 30/100 = 3/10 = 0.3
5(23)=5(20)+ what property is being used help please i have till monday
The property used here is the distributive property of the multiplication.
What property is being used?Here we have the expression:
5*23 = 5*20 + 5*3
This is the distributive property of the multiplication, it says that:
A*(B + C) = A*B + A*C
Now, the original expression can be rewritten as:
5*23 = 5*(20 + 3)
And now we apply the above property to get:
5*23 = 5*(20 + 3) = 5*20 + 5*3
5*23 = 5*20 + 5*3
Learn more about math properties:
https://brainly.com/question/4077386
#SPJ1
4
Ryan is installing new flooring in his house. Ryan can install 144 square feet of flooring in
3 hours. How much new flooring can Ryan install in 21 hours?
OA. 1,008 square feet
OB. 252 square feet
OC. 3,024 square feet
OD. 3,049 square feet
For his science project, Spencer needs to photocopy his 21-page
presentation. There are 37 students in his class, and he will need copies for
each person, including his teacher. Each photocopy is $0.12.
How much will Spencer spend at the copy center?
A $77.70
B $93.24
C $95.76
D $100.3
Answer: $95.76
Explantion: Spencer spend $95.76 dollars at the copy center.
Then your done
Use identities to find tan, csc, sec, and cot. Where necessary, rationalize denominators
We are given:
[tex]sin\text{ }\theta=\frac{3}{5},cos\text{ }\theta=\frac{4}{5}[/tex]The tangent is defined as the ratio of the sine and the cosine:
[tex]tan\text{ }\theta=\frac{sin\text{ }\theta}{cos\text{ }\theta}[/tex]Calculating:
[tex]\begin{gathered} tan\text{ }\theta=\frac{\frac{3}{5}}{\frac{4}{5}}=\frac{3}{5}\cdot\frac{5}{4} \\ \\ tan\text{ \theta}=\frac{3}{4} \end{gathered}[/tex]The cotangent is the reciprocal of the tangent:
[tex]\begin{gathered} \cot\theta=\frac{1}{\tan\theta} \\ \\ \cot\theta=\frac{1}{\frac{3}{4}}=\frac{4}{3} \end{gathered}[/tex]The secant is the reciprocal of the cosine:
[tex]\begin{gathered} \sec\theta=\frac{1}{\cos\theta}=\frac{1}{\frac{4}{5}} \\ \\ \sec\theta=\frac{5}{4} \end{gathered}[/tex]The cosecant is the reciprocal of the sine:
[tex]\begin{gathered} \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{3}{5}} \\ \\ \csc\theta=\frac{5}{3} \end{gathered}[/tex]we have a large dataset and we plot its density curve, which is a smooth curve representing the relative frequency distribution (aka probability distribution). let's call this probability distribution curve p1. we then construct a new dataset by calculating the standard scores of the original dataset. for this standardized dataset, we plot a new density curve. let's call this probability distribution curve p2. which is true?
The required correct answer is,
The area under P2 is 1, the area under P1 depends on the standard deviation of the dataset
i.e., Option d. is correct.
What is density curve ?
A density curve is a curve that illustrates the general shape of a data distribution. It is always above the x-axis; the area beneath it is always equal to one whole; the area beneath shows the percentage of all observations that fall in a given range. It is statistically easier to deal with a smooth curve than a histogram.
The bell-shaped density curve, which symbolizes the normal distribution, is the most well-known.
To learn more about density curve click here:
brainly.com/question/18345488
#SPJ4
Janice is cutting ribbon to decorate a present. She has 7/8 foot of ribbon. She needs to make pieces that are 3/8 foot each. How many 3/8-foot pieces will she get from the 7/8-foot ribbon?
Enter the correct answer in the box.
Based on the length of the ribbon, and the length of the pieces Janice needs to make, the number of 3/8 foot pieces she can make would be
How to find the number of pieces?To find the number of pieces that Janice can get from the 7/8 foot ribbon, you need to divide this length by the length of each piece of ribbon.
The length of each of these pieces is 3/8 so the number of pieces of ribbon that Janice can get from the 7/8 foot ribbon is:
= 7 / 8 ÷ 3 / 8
= 7 / 8 x 8 / 3
= 56 / 24
= 2.33 ribbons
Find out more on number of pieces at https://brainly.com/question/23568465
#SPJ1
Janice can make 2 pieces of ribbon from 7/8 feet of ribbon each measuring 3/8 feet.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Janice is cutting the ribbon to decorate a present. She has 7/8 feet of ribbon.
She needs to make pieces that are 3/8 feet each.
To obtain the no. of pieces we have to divide the total length of the ribbon by the length of each piece.
∴ (7/8)/(3/8).
= (7/8)×(8/3).
= 7/3 pieces.
But he can only make 2 pieces as pieces must be in integers.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ1
2/3×4/5 in fraction bar
Answer:
8/15
Step-by-step explanation:
Multiply the numerators:
2*4 = 8
Multiply the denominators:
3*5 = 15
Now we have 8/15.
This cannot be simplified, so this is our final answer.
[tex]\frac{2}{3} \times\frac{4}{5}[/tex]
Multiply numerator by numerator and denominator by denominator:
[tex]2*4=8\\3*5=15[/tex]
[tex]\frac{8}{15}[/tex] would be your final answer.
Write the sentence as an equation.
312 equals the total of 380 and p
Answer:
P+380=312
Step-by-step explanation:
The total, meaning addtion, and equals meaning equals sign. P+380=312
What is the equation of the line that passes through the point (-3,1) and has a slope of -3?
Answer:
Equation of line is given as y = mx + c, where m is the slope and c is the y-intercept.
Since line has a slope of -3, equation is y = -3x + c.
Substitute (-3,1) into the equation to find c.
1 = -3(-3) + c
c = -8
Hence, equation of line is y = -3x - 8.
A grain tank on a farm is composed of a storage portion in the shape of a cylinder anda cone-shaped dispensing area at the bottom. The bottom cone portion has a slantheight of 5.5 feet. The entire exposed surface of the tank is to be painted. What is theapproximate amount of surface area that will receive the painting?8.4 ft12 ft5.5 ft
To fidn the surface area of the grain tank you need to find the area of:
Cylinder (without one of the bases as there are just one base exposed), use the next formula:
[tex]A_1=\pi\cdot r^2+h(2\pi r)[/tex]You have for the given cylinder:
h=12ft
r: as the diameter is 8.4ft the radius is 8.4tf/2=4.2ft
[tex]\begin{gathered} A_1=\pi(4.2ft)^2+12ft(2\pi(\text{4}.2ft)) \\ =17.64\pi ft^2+100.8\pi ft^2 \\ =118.44\pi ft^2 \end{gathered}[/tex]Cone (without the base as the base is not exposed), use the next formula:
[tex]A_2=\pi\cdot r\cdot s[/tex]You have for the given cone:
r= 4.2ft
s= 5.5ft
[tex]\begin{gathered} A_2=\pi(4.2ft)(5.5ft) \\ =23.1\pi ft^2 \end{gathered}[/tex]The entire exposed surface of the tank is:
[tex]\begin{gathered} A_T=118.44\pi ft^2+23.1\pi ft^2 \\ \\ =141.54\pi ft^2 \\ \\ \approx444.66ft^2 \end{gathered}[/tex]The approximate amount of surface area that will receive the painting is 444.66 squared feetsplease see attached question
correct answer will get brainliest
Answer:
Step-by-step explanation:
[tex]\frac{y}{\sqrt{x} }[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} }{\sqrt{x} \sqrt{x} }[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} }{x}[/tex] - [tex]\frac{\sqrt{x} }{x}[/tex] = [tex]\frac{y\sqrt{x} -\sqrt{x} }{x}[/tex]
n your initial post, answer the following questions: identify the many variables that a hospital needs to consider in layout design? what are the advantages of the circular pod design over the traditional linear hallway layout at arnold palmer? what suggestions about wheeled coach layout would you make to bob collins?
The structure must be designed so that there are no risks to the health and safety of the patients, staff, and general public. The main goal of layout exists to make clear that work, materials, and information flow through a system smoothly.
What is the layout of a hospital?Layout design generally seeks to arrange organizational units inside a building so that the space is used to its fullest potential and total distances are kept to a minimum.
The structure must be designed so that there are no risks to the health and safety of the patients, staff, and general public. It must be able to endure the pressure and environmental conditions that they might encounter.
A facility's layout and design are crucial to a company's overall operations because they may both suit the needs of employees and maximize the efficiency of the production process. The main goal of layout exists to make clear that work, materials, and information flow through a system smoothly.
To learn more about layout design refer to:
https://brainly.com/question/25719147
#SPJ4
PLS HELP ME< WILL APPRICIATE
Answer:
<F=74
Step-by-step explanation:
No explanation just asked my teacher
Help me and be a real g pls!!!
Answer: 1. C=43.96 in A=153.86 in²
2. C=56.52 in A=254.34 in²
Step-by-step explanation:
1.
R=7 in
C=2πR
C=2*3.14*7
C=43.96 in
A=πR²
A=3.14*7²
A=3.14*7*7
A=153,86 in²
2.
R
D=18 in
⇒ R=D/2
⇒ R=18/2
⇒ R=9 in
C=2πR
C=2*3.14*9
C=56.52 in
A=πR²
A=3.14*9²
A=3.14*9*9
A=254.34 in²
The measures of the interior angles of four regular polygons are shown below. Which expression best represents the measure in degrees of the interior angle of a regular polygon having n sides?
ANSWER
[tex]\frac{180(n-2)}{n}[/tex]EXPLANATION
We want to find the expression that best represents the measure of the interior angle of a regular polygon with n sides.
The general formula for finding the total angle in a regular n sided polygon is given as:
[tex]180(n-2)[/tex]Therefore, to find the measure of each interior angle of the polygon, we have to divide the total angle by the number of sides.
That is:
[tex]\frac{180(n-2)}{n}[/tex]Hence, that is the expression that best represents the measure in degrees of the interior angle of a regular polygon having n sides.
The difference between 75% of a number and 20% of the same number is 378.4 what is 40% of that number?
Answer:
40% of the number is 275.2.
Step-by-step explanation:
I am going to call the number x.
75% of the number: 0.75x
20% of the same number: 0.2x
The difference between 75% of a number and 20% of the same number is 378.4:
This means that:
0.75x - 0.2x = 378.4
0.55x = 378.4
x = 378.4/0.55
x = 688
40% of the number:
0.4*688 = 275.2
40% of the number is 275.2.
Solve for x. Show your work.
Answer:
x = 35°
Step-by-step explanation:
Hello!
The sum of the two angles is 90°, so if we set the sum of the two angles to 90, we can solve for x.
Solve for x90 = 32 + 2x - 1270 = 2x35 = xThe value of x is 35°.
Express the equation y=x^2+8x+25 in the form y=a(x-h)^2+ka. y=a(x-h)^2+kb. y=(x+4)^2+9c. y=(x-4)^2-9d.y=(x-4)^2+9
ANSWER :
The answer is B. y = (x + 4)^2 + 9
EXPLANATION :
From the problem, we have :
[tex]y=x^2+8x+25[/tex]Group the terms in which the constant term and the terms with variables are separated.
[tex]y=(x^2+8x)+(25)[/tex]add and subtract a variable m to the parenthesis to maintain equivalency.
[tex]y=(x^2+8x+m)+(25-m)[/tex]Calculate the value of m using b^2/4a^2 with a = 1 and b = 8
[tex]m=\frac{b^2}{4a^2}=\frac{8^2}{4(1^2)}=16[/tex]Then :
[tex]\begin{gathered} y=(x^2+8x+16)+(25-16) \\ y=(x^2+8x+16)+(9) \end{gathered}[/tex]The first parenthesis will be a perfect square trinomial.
Factor and simplify :
[tex]\begin{gathered} y=(x^2+8x+16)+9 \\ y=(x+4)^2+9 \end{gathered}[/tex]a ball was dropped from the empire state building observatory. the height of the ball in feet is described by the function f(x)=1048-16x^2 where x is time in seconds
Find the time when the ball hits the ground. round your answer to the nearest tenth
The time when the ball hits the ground is 8. 09 seconds
What is a function?A function can be defined as an expression, theorem, law, or rule that elaborates, explains or holds true for the relationship between two variables.
These variables are namely;
The dependent variablesThe independent variablesFrom the information given, we have that;
f(x) = 1048 - 16x²
Where;
f(x) is The height of the ball in feetx is the time in secondsTo determine the time, we have;
collect like terms
- 16x² = - 1048
Divide both sides by the coefficient of x²
-16x²/-16 = -1048/-16
x² = 65.5
Find the square root of both sides, we have;
x = √65.5
x = 8. 09 seconds
Hence, the value is 8. 09 seconds
Learn more about functions here:
https://brainly.com/question/2328150
#SPJ1
arie is driving from the usa into canada. she notices that all of the canadian speed limit signs are in kilometers per hour; her odometer only displays miles per hour. how many kilometers per hour is she driving when the odometer reads 19 miles per hour?
Find the equivalent expression using the
same bases.
(71.81)4.
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
A similar expression can be found in what way?X-terms and constants should be combined with any other like terms on either side of the equation. Put the terms in the same order, with the x-term usually coming before the constants. The two phrases are equal if and only if each of their terms is the same.
Consequently, (f + g)(4) is equal to f(4) + g(4)
If two systems of equations have the same solution, they are equivalent (s).
Simplify
(71 . 81) 4 = 287.24
To Learn more About Equivalent expression, Refer:
https://brainly.com/question/15775046
#SPJ13
to
low
ing
Guess my number.
My number is a 2-digit number.
It is multiple of 5 but not a multiple
of 10.
It has an odd tens digit.
The digit total is less than 10.
What is my number?
Answer:60 and 80
Step-by-step explanation: