The correct value is 720 ft of fencing.
Answer:
Max Area = 64800 sq.ft
Step-by-step explanation:
A square will always give us the maximum area.
Thus, one side would be;
720/4 = 180 feet
So, we want a square 180 ft by 180 ft
however, from the question, we are to use the creek as one side. So, we'll take the 180 ft that we don't need because of the creek and then add it to the opposite side to get 180 + 180 = 360 ft.
Thus,we now have a rectangle with dimensions: 180 ft by 360 ft
Area is given by;
area = length × width
Maximum Area = 180 × 360
Max Area = 64800 sq.ft
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Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75
_______Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
Answer:
40 + 2x ≥ 75
Step-by-step explanation:
X equals 18 or above. This means that in order to meet her goal of $75 dollars, Charlotte needs to schedule at least 18 appointments.
Answer:
A=
2x+40=75
B=
Charlotte would have to schedule 18 appointments.
First you have to subtract 40 from 75 which equals 35
Second you divide 35 by 2 which equals 17.5
Since Charlotte can't schedule 17 1/2 appointments so you round up to 18
Step-by-step explanation:
1. XY is the same as
YX.
Answer:
is the same X×Y,Y×X
that is the answer of your question
A measuring cylinder of radius 3.5cm contains water to a height of 56cm. If this water is poured into a similar cylinder of radius 14cm, what will be the height of the water column
Answer:
3.5cm
Step-by-step explanation:
Please see attached picture for full solution.
Volume of cylinder= πr²h, where r is the radius and h is the height.
If one angle of supplementary angle is 40 degrees; what is the angle measurement of the other one?
Answer:
140°
Step-by-step explanation:
Supplementary angles sum to 180° , thus
angle = 180° - 40° = 140° ← other angle
4/9 - (-2/3)
Please answer with steps!
Answer:
[tex]$\frac{10}{9} $[/tex]
Step-by-step explanation:
[tex]$\frac{4}{9} -\left(-\frac{2}{3} \right)$[/tex]
[tex]$\frac{4}{9} +\frac{2}{3} $[/tex]
[tex]$\frac{4}{9} +\frac{6}{9} $[/tex]
[tex]$\frac{10}{9} $[/tex]
7. Ray collects cars and trucks. Over the years, the number of cars he collected is 8 less than twice
the number of trucks. If he has a total of 43 cars and trucks, how many trucks does Ray have?
Answer: Ray has 17 trucks .
Step-by-step explanation:
Let x = number of cars
y = number of trucks
As per given
x+y= 43 (i)
2y-8=x (ii)
We can rewrite (ii) as
x-2y= -8 (iii)
Subtracting (iii) from (i), we get
y- (-2y)= 43- (-8)
⇒ y+2y= 43+8
⇒ 3y=51
Divide both sides by 3
⇒ y = 17
Now, put this in (ii), we get
x= 2(17)-8=34-8 =26
Hence, Ray has 17 trucks and 26 cars.
What is nine more than a number y, if that number is 4? Evaluating Algebraic Expressions
Answer:
13
Step-by-step explanation:
9 more than a number y is
y + 9
If the number y is 4, then you have
4 + 9 = 13
The expression is y +9 and the evaluation is 13.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Let y be the required number.
According to question,
the algebraic expression
y + 9
Here, y =4
Then y + 9
= 4 +9
= 13
Therefore, the expression is y +9 and the evaluation is 13.
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Evaluate the expression. 7⋅4+6−12÷4
Answer:
31
Step-by-step explanation:
Answer: 31
Step-by-step explanation:
1. Multiply 28+6-12/4
2. Divide 28+6-3
3. Add 34-3
4. Subtract 31
I need help solving these
1. 1. Vocabulary What does the exponent in the expression [tex]5^{6}[/tex] tell you?
Answer: it means that [tex]5[/tex] is multiplied by itself [tex]6[/tex] times: [tex]5^{6} =5*5*5*5*5*5=15625[/tex]
1. 2. [tex]4*4=4^{2}=16[/tex]
The power is [tex]2[/tex] or square, notice how the geometric model is made out of dots forming a flat square.
1. 3. [tex]2*2*2*2=2^{3} =8[/tex]
The power is [tex]3[/tex] or cube, notice how the geometric model is a cube.
1. 4. [tex]9*9=9^{2}=81[/tex]
The power is [tex]2[/tex] or square, notice how the geometric model is a flat square.
2. 5. [tex]7^{2} =49[/tex]
2. 6. [tex](-2)^{4} = -2*-2*-2*-2=4*4=16[/tex]
2. 7. [tex](-2)^{5} =16*-2=-32[/tex]
2. 8. [tex]-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}[/tex]
3. 9. [tex]81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}[/tex]
3. 10. [tex]100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,[/tex]
[tex]10*10*10*10*10=10^{5}[/tex]
3. 11. [tex]-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}[/tex]
3. 12. [tex]10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}[/tex]
3. 13. [tex]81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}[/tex]
3. 14. [tex]36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}[/tex]
4. 15. Technology First week => [tex]3[/tex] hits, every week => the number of hits triples, means [tex]3^{3}[/tex], 5th week => hits every week * 5 = [tex]3^{3}*5=27*5=135[/tex] hits.
I apologize if there's any misspelling or wrong answer.
Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 80 mph how long before they meet
Answer:
They will meet in 1.8 hours.
Step-by-step explanation:
Given that, distance between trains = 306 miles
Let they take time [tex]'t'[/tex] to meet each other.
Speed of first train = 90 mph
Speed of second train = 80 mph
Let distance traveled by first train = [tex]D_1[/tex] miles
Formula for distance:
[tex]Distance = Speed \times Time[/tex]
Distance traveled by first train, [tex]D_1 = 90t[/tex]
Let distance traveled by first train = [tex]D_2[/tex] miles
Formula for distance:
[tex]Distance = Speed \times Time[/tex]
Distance traveled by first train, [tex]D_2 = 80t[/tex]
Total distance traveled is 306 miles.
i.e.
[tex]D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}[/tex]
They will meet in 1.8 hours.
At a carnival, Ryan bought 16 packs of 7 tickets each. He also found 9 more tickets on the ground. How many tickets did Ryan have in all?
Answer:
121 tickets
Step-by-step explanation:
16x7+9=121
I hope this helps
Multiply. Write your answer in lowest terms.
6/5 ⋅ 9/5 ⋅ 4/7
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ \frac{216}{175} }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{6}{5} \times \frac{9}{5} \times \frac{4}{7} }[/tex]
Multiply the numerators for the numerator and multiply the denominators for its denominator
⇒[tex] \sf{ \frac{6 \times 9 \times 4}{5 \times 5 \times 7} }[/tex]
⇒[tex] \sf{ \frac{216}{175} }[/tex]
Hope I helped!
Best regards!
please someone help i don’t understand
Step-by-step explanation:
see the attachment...............
see the attachment...........
please help me I beg of you 7(-1)
Answer:
Just multiply 7*-1 which would equal -7
Jackson travels 2 km north, then 3 km east, and finally 2 km south. Which
statement is true?
a. jackson’s displacement is 2 km west from his origin
b. jackson’s displacement is 7 km
c. jackson is now 3 km from where he started
d. none of the above
Which of the following is most likely the next step in the series?
Answer:
I'm going to say A
Step-by-step explanation:
For sure the next would be blue but this is just my guess.
The most likely next step in the series is Option A, where a blue ray is added 90 degrees to the left along with the existing rays.
It appears that the pattern involves adding a ray 90 degrees to the left and alternating colors between red and blue. The first figure is a 180 degrees line with arrows on both sides of red color.
Based on this pattern, the most likely next step would be to add a blue ray 90 degrees to the left, while keeping the existing rays and alternating colors. Therefore, the next step would be Option A, where the figure is blue in color with a ray added to the left along with the already present rays.
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what is the perimeter of the triangle in simplest fo
Answer:
3 + 9[tex]\sqrt{5}[/tex]
Step-by-step explanation:
primeter = a + b + c
primeter = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]
primeter = 3 + 9[tex]\sqrt{5}[/tex]
what is the length with the endpoints K(0,2) and V(9,14)?
Greetings from Brasil...
The expression that allows you to calculate the distance between two points is:
d(A; B) = √[(Xb - Xa)² + (Yb - Ya)²]Bringing to our problem:
d(A; B) = √[(9 - 0)² + (14 - 2)²]
d(A; B) = √[9² + 12²]
d(A; B) = √[81 + 144]
d(A; B) = √[225]
d(A; B) = 15A hot air balloon is flying above Groveburg. To the left side of the balloon, the balloonist measure the angle of depression to the Groveburg soccer fields to be 20° 15'. To the right side of the balloon, the balloonist measures the angle of depression to the high school football field to be 62° 30'. Find the distance from the balloon to the soccer fields
Answer:
Solution : 3.6 miles
Step-by-step explanation:
The first step in solving this problem is to convert 15' to degrees --- (1) . 15' is represented as 15 minutes, so to convert to degrees we have 15 / 60 = 0.25°. Adding 20 + 15' we should get 20 + 0.25 = 20.25 (degrees).
Now remember that on the right side we have the football field, 62° 30'. Let's convert that 30' into degrees --- (2). 30 / 60 = 0.5, and 62 + 0.5 = 62.5.
Using both this information we can calculate the angle from the balloon to the horizontal. That would be 180 - 20.25 - 62.5 = 97.25°. Therefore the distance from the balloon to the soccer fields would be as follows,
distance / sin(62.5) = 4 / sin(97.25)
Let distance = x ...
x / sin(62.5) = 4 / sin(97.25),
x / 0.88701083317 = 4 / 0.99200494968,
x * 0.99200494968 = 4 * 0.88701083317,
x * 0.99200494968 = 3.548,
x = ( About ) 3.5766 miles
Given the options the distance from the balloon to the soccer fields would be 3.6 miles.
RS = 6y+2, ST=3y +7, and RT=13y-23 What is the value of y? y =________ Find STand RT. ST =_______ RT =_______
Answer:
y = 8, ST = 31 and RT = 81Step-by-step explanation:
Given RS = 6y+2, ST=3y +7, and RT=13y-23, the vector formula is true for the equations given; RS+ST = RT
Om substuting the expression into the formula;
6y+2+3y +7 = 13y - 23
collect the like terms
6y+3y-13y+2+7+23 = 0
-4y+32 = 0
Subtract 32 from both sides
-4y+32-32 = 0-32
-4y = -32
y = -32/-4
y = 8
Since ST = 3y+7. we will substitute y = 8 into the exprrssion to get ST
ST = 3(8)+7
ST = 24+7
ST = 31
Similarly,
RT = 13y-23
RT = 13(8)-23
RT = 104-23
RT = 81
Hence y = 8, ST = 31 and RT = 81
(-10)^5 negative or positive
Answer:
Negative = -100,000
Step-by-step explanation:
Simplify the following:
(-10)^5
Hint: | Determine the sign of (-10)^5.
(-10)^5 = (-1)^5×10^5 = -10^5:
-10^5
Hint: | 10^5 expands to the number one followed by 5 zeros.
10^5 = 100000:
Answer: -100000
What is 1/3
written in decimal form?
A. 0.3
B. 0.3
Ο Ο Ο
C. 0.33
OD. 0.35
Answer:
C. 0.33
Step-by-step explanation:
Answer:
0.3
.
.
.
.
Step-by-step explanation:
yea yea yea yea yea
Find the value of x. *
x
10
7
I need help with this answer
Answer:
16in
Step-by-step explanation:
Answer:
Height = 16 in
Step-by-step explanation:
C = Hypotenuse = the longer side of a triangle
A = Height
B = Base
=> a^2 + b^2 = c^2
=> a^2 + 30^2 = 34^2
=> a^2 + 900 = 1156
=> a^2 + 900 - 900 = 1156 - 900
=> a^2 = 256
=> Square root of a^2 = Square root of 256
=> a = 16
So, The Height of the triangle = 16 in.
I Need to find the Function Operations
Answer:
1) [tex](f+g)(x)=2x^2+3x-6[/tex]
2) [tex](f-g)(x)=2x^2+x[/tex]
3) [tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=2x^2+2x-3\text{ and } g(x)=x-3[/tex]
And we want to find (f+g)(x), (f-g)(x), and (f*g)(x).
1)
(f+g)(x) is the same to f(x)+g(x). Substitute:
[tex](f+g)(x)=f(x)+g(x)\\=(2x^2+2x-3)+(x-3)[/tex]
Combine like terms:
[tex]=(2x^2)+(2x+x)+(-3-3)[/tex]
Add:
[tex]=2x^2+3x-6[/tex]
So:
[tex](f+g)(x)=2x^2+3x-6[/tex]
2)
(f-g)(x) is the same to f(x)-g(x). So:
[tex](f-g)(x)=f(x)-g(x)\\=(2x^2+2x-3)-(x-3)[/tex]
Distribute:
[tex]=(2x^2+2x-3)+(-x+3)[/tex]
Combine like terms:
[tex]=(2x^2)+(2x-x)+(-3+3)[/tex]
Simplify:
[tex]=2x^2+x[/tex]
So:
[tex](f-g)(x)=2x^2+x[/tex]
3)
(f*g)(x) is the same to f(x)*g(x). Thus:
[tex](f\cdot g)(x)=f(x)\cdot g(x)\\=(2x^2+2x-3)(x-3)[/tex]
Distribute:
[tex]=(2x^2+2x-3)(x)+(2x^2+2x-3)(-3)[/tex]
Distribute:
[tex]=(2x^3+2x^2-3x)+(-6x^2-6x+9)[/tex]
Combine like terms:
[tex]=(2x^3)+(2x^2-6x^2)+(-3x-6x)+(9)[/tex]
Simplify:
[tex]=2x^3-4x^2-9x+9[/tex]
So:
[tex](f \cdot g)(x)=2x^3-4x^2-9x+9[/tex]
There are 200 end of the year school dance tickets available students who have perfect attendance armrest able to purchase if 18 tickets were purchase in advance then what percent of the tickets were purchased in advanced
21 POINTS!!! Which choice shows a function with a domain of {-4,-2,2,4}?
Answer:
C
Step-by-step explanation:
The domain is the input values
A has an input of 2
B has an input of all real values
D has an input of 1,0,2,6
C has an input of -4,-2,2,4
find the measure of angle a
Answer:
[tex]\angle A = 40^o[/tex]
Step-by-step explanation:
Notice that angle A is identified with the algebraic expression "7 + 3 x", while the other acute angle is identified with the expression "5 x - 5"
We know that the third angle is a right angle (90 degrees),
and also that the sum of the internal angles in a triangle must give 180 degrees, so we have:
[tex]\angle A + \angle B+ 90^o = 180^o\\(7+3\,x)+(5\,x-5)=180^o-90^o\\7+3\,x+5\,x-5=90^o\\8\,x+2 = 90^o\\8\,x=88^o\\x=11^o[/tex]
Now that we know x, we can give the answer for what angle A is:
[tex]\angle A= 7^o+3\,x\\\angle A =7^o+3\,(11^o)\\\angle A = 7^o+33^o\\\angle A = 40^o[/tex]
solve for h S=2πr2+2πrh
Answer:
[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]Step-by-step explanation:
S = 2πr² + 2πrh
To solve for h move 2πr² to the other side of the equation
That's
2πrh = S - 2πr²
Next divide both sides by 2πr in order to isolate h
That's
[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]We have the final answer as
[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]Hope this helps you
The chart below shows conversion between kilometers and miles.
Conversion Chart
Kilometer
2
Miles
1.2
4.2
7
20
?
30
18
What is the missing value in the table?
06
05.4
O 11.1
12
Answer:
12 (D)
Step-by-step explanation:
The first one is 2:1.2 so i did x10 on it to get 20:12.
The missing value in the table is 12 miles.
Option D is the correct answer.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 km = 1000 m
1 minute = 60 seconds
We have,
Kilometer Miles
2 1.2
7 4.2
20 12
30 18
We see that,
2 km = 1.2 miles
Multiply 7/2 on both sides.
7 km = 7/2 x 1.2 miles
7 km = 4.2 miles
Multiply 20/ 7 on both sides.
20 km = 12 miles
Thus,
20 km is 12 miles.
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