The cost of the path around the swimming pool with length 15m and width 12m is $1,190
Area of a rectangleLength = 15mWidth = 12mPathway with 2m wide:
Length = 15m + 2m = 17mWidth = 12m + 2m = 14mArea of the path = length × width
= 17m × 14m
= 238 square meters
Cost of the path = $5 per square meterTotal cost of the path = 238 square meters × $5
= $1,190
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If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function
The new equation will become f(x) = 3([tex]2^{x}[/tex]).
The given information is the stretch factor which is 3 and the equation f(x)=[tex]2^{x}[/tex].
When there is a vertical strecth factor, you need to multiply the equation by the stretch factor.
By stretching the function, the value of y has to be multiplied by 3, will now be equal to 3f(x)
The new equation will become f(x) = 3([tex]2^{x}[/tex]).
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Justin and elena each launched a toy rocket into the air. the height of justin’s rocket is modeled by the equation h = –16t2 60t 2. elena launched his rocket from the same position, but with an initial velocity double that of justin’s. which equation best models the height of elena’s rocket? h(t) = at2 vt h0 h = –16t2 60t 4 h = –32t2 120t 4 h = –32t2 60t 2 h = –16t2 120t 2
f) 234x +(234x)⁰ (x0)
Answer:
the answer is 0
Step-by-step explanation:
because anything multiply by 0 is 0.
Can make me the brainliests answerer?Please
help me now I need answer IMG
The height of the shorter cone is 6.81cm
What is a cone?A cone is hollow three-dimensional shape with side lengths that tappers from the base to a point at the vertex.
Analysis:
Let the radius of the first cone be = r
radius of shorter cone = R
height of first cone = h
height of shorter cone = H
if volume of the two cones are same
1/3π[tex]r^{2}[/tex]h = 1/3π[tex]R^{2}[/tex]H
[tex]r^{2}[/tex]h = [tex]R^{2}[/tex]H
H = [tex]r^{2}[/tex]h / [tex]R^{2}[/tex]
H = [tex](8.5)^{2}[/tex]x 10 / [tex](10.3)^{2}[/tex] = 6.81cm
In conclusion, the height of the shorter cone is 6.81cm
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PLEASE HELP ASAP!!!!
The polar equation r=7sin(2θ) graphs as a rose.
What is the length of the petals of this rose?
Enter your answer in the box.
============================================================
Explanation:
r = distance from the origin (0,0) to a point on the polar curve
To find the length of the flower petal, we need to max out r (i.e. get it as large as possible).
Recall that sin(x) maxes out at 1, so that also applies to sin(2θ) as well.
Therefore, r = 7*sin(2θ) maxes out at r = 7*1 = 7 and this is the length of each petal. Basically it's the number out front of the sine term.
The graph is shown below. To type the symbol θ into desmos, you need to type "theta" without quotes.
Domain and range of f(x)=3x^2-9x+8
The range of the function lies between (0,8) to (1.5,1.25).
What are domain and range?Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The given function is:-
f(x) = 3x² -9x + 8
The value of the range will be from (0,8) to ( 1.5,1.25). When we plot the graph of the function the value of the range lies between the points (0,8) to ( 1.5,1.25). The graph is attached with the answer.
The domain of the function will be all the values of the real numbers for the function ranges from ( 0, ∞ ).
Therefore the range of the function lies between (0,8) to (1.5,1.25).
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answer both questions please
Answer: The two imaginary solutions with rational coefficients are +/- 4i and the two imaginary solutions with irrational coefficients are +/- 1.414213562i.
Step-by-step explanation:
I would recommend using pascal's triangle to solve this problem.
*Note: This is more of a quick answer, I can show a detailed step-by-step procedure if you need, just comment.
your favorite basketball player has an 90% free-throw percentage. In the next game that s/he plays they shoot 12 free throws. What is the probability that they make all 12
The probability that favourite basketball player make all 12 is 0.
Give 90% free- throw percentage of favourite basketball player and he has taken 12 shots in the game.
Probability is the chance of happening an event among all the events possible. It lies between 0 and 1.
This is a binomial probability question "makes" is what some writer call a "success". In the binomial probability distribution, the probability of r successes in trials is :
=[tex]nC^{r}[/tex][tex]p_{r}p^{r}(1-p)^{n-r}[/tex]
p is the probability of "success" n p r=n!/((n-r)!
n [tex]p_{n}[/tex]=0
In this problem , n=12, r=12,p=0.9. the probability of exactly 12 made shots out of 12 attempted is 12[tex]C_{12} (0.90)^{12} (1-0.90)^{0}[/tex].
=12!/12!(12-12)!*[tex](0.90)^{12}(0.10)^{0}[/tex]
=0
Hence the probability that they make all 12 is 0.
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Complete the statements about the cross sections of cylinders and cones.
The cross section parallel to the base of a cone is a
The cross section parallel to the base of a cylinder is a
The cross section perpendicular to the base of a cone is a
The cross section perpendicular to the base of a cylinder is a
The cross-section parallel to the base of a cone is a circle
The cross-section parallel to the base of a cylinder is a circle
The cross-section perpendicular to the base of a cone is a triangle
The cross-section perpendicular to the base of a cylinder is a rectangle
QUESTION 2
Evaluate x4 + 5x3-3x2 + 11x - 6 for x = 3
Answer:
The answer is (-84)
putting the value of X =(- 3)
2) X = 216
Hello!
We are going to evaluate the expression with our given x-value for question 2.
We know that our expression is: x^4 + 5x^3 - 3x^2 + 11x - 6
We also know that our x-value = 3
We will simply plug in "3" to "x" in our expression and solve.
Solve:
x^4 + 5x^3 - 3x^2 + 11x - 6
Plug in 3 to x:
(3)^4 + 5(3)^3 - 3(3)^2 + 11(3) - 6
Simplify:
(3)^4 + 5(3)^3 - 3(3)^2 + 11(3) - 6
81 + 5(3)^3 - 3(3)^2 + 11(3) - 6
81 + 135 - 3(3)^2 + 11(3) - 6
81 + 135 - 27 + 33 - 6
216 - 27 + 33 - 6
189 + 33 - 6
222 - 6 = 216
Therefore, our final answer would be 216.
Answer:
216
Fill in the table.
x y
-4 5
-2 3
0 1
2 -1
4 -3
This is a linear function which means that the domain and range are:
Domain:
Range:
*Reminder: another way to write negative infinity to positive infinity is
"all real numbers"
The domain of the linear function is a real number, and the range of the linear function is also a real number.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The table is given below.
x y
-4 5
-2 3
0 1
2 -1
4 -3
Then the linear function will be
y – 1 = [(5 – 1) / (- 4 – 0)] (x – 0)
y – 1 = -x
x + y = 1
Then the domain of the linear function is a real number and the range of the linear function is also a real number.
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#5 In *triangle* ABC, AB = 9 and BC = 15. What is the range the possible lengths for CA?
Why?
PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 7(1.06)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)
#1
As d is days
So days can't be negative
hence domain is W or Whole numbers set.
But according to the equation
y=7(1.06)^d13.29=7(1.06)^d1.06^d=1.898dln1.06=ln1.898d=1.79Round to next whole as it's no of days
d=2
Domain=[2,oo)
#b
Put d=0
f(0)
7(1.06)^(0)7It passes through (0,7)
But 0 is not in domain ,hence no y intercept in real
#C
f(11)
7(1.06)¹¹13.28f(4)
7(1.06)⁴8.83Rate of change
f(11)-f(4)/11-413.28-8.83/70.6It represents change in radius
What is the range of the function shown
in the graph?
This year, a small business had a total revenue of $40,700. If this is 26% less than their total revenue the previous year, what was their total revenue the previous year?
What is
-8/15of21/12
A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)
The area that needs to be covered is
ft2.
Answer:
132ft^2
Step-by-step explanation:
please help me
i'll mark u as brainiest if u get it right
Answer: a) 46 minutes
b) 10:47
The basic knowledge for this is that 60 minutes = 1 hour
a) Question a asks for how long it took from a 10:34 bus from Mosley to reach Bamford. From the table you can see that the 10:34 bus reaches Bamford at 11:20. All you have to do is count from 10:34 to 11:20.
10:34 will become 11:00 at 10:60 right? Clock's generally don't show 10:60 but goes directly to 11:00 after 1 minute is passed at 10:59. So from 10:34 to 11:00, it takes 26 minutes. Remember the bus reaches at 11:20 so from 11:00 to 11:20, it takes 20 minutes. Now add them up:
26 minutes + 20 minutes = 46 minutes
Here you go! Total 46 minutes from Mosley to Bamford.
b) From question b, we can see that Trina did not ride the first bus or by any chance missed it because the bus left at 10:14 and she is at the station at 10:15. Now think it from your perspective! You missed the first bus and you are in a big rush. So to reach your destination as early as possible, you will obviously take the next earliest bus. The next bus is at 10:24 (Belton). So if we take the 10:24 bus in Belton, it reaches at 10:47 in Garton.
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
Express 10cm as percentage of 50cm
Answer:
10 cm is 20% of 50 cm.
Step-by-step explanation:
1) Put the "question" into fraction form: 10/50
2) Divide the numerator by the denominator (essentially changing the fraction into the decimal form): 10 ÷ 50 = 0.2
3) Multiply the quotient by 100: 0.2 × 100 = 20
4) Slap a "%" on the end and you're good to go!! : 20%
the photography club has 36 memebers, 16 girls and 20 boys. what is the ratio of girls to boys in the photography club?
A. 5:6
B. 4:5
C. 5:4
Answer:
4:5
girls:boys
16:20
divide both by 4
4:5
(18 ÷ 2) × (56 ÷ 7) =
Answer: 72
Step-by-step explanation:
Step 1: Divide 18 and 2, which is 9
Step 2: Divide 56 and 7, which is 8
Step 3: Multiply 9x8 and get 72
What is 850,000,000,000,000,000 divided by 860,000,000,000,000,000,000,000
the answer would be 9.88372093e-7
1 )Simplify.
[tex]\frac{850000000000000000}{8.6E}[/tex]+23
2 )Answer
9.88372093e-7
Use properties to evaluate 3/4(1/5÷3/5)(-8).
A. 2
OB. 5
O C. -2
OD. -5
Answer:
C. -2
Step-by-step explanation:
Use A-P-E-X
How I solved it:
3/4(1/5÷3/5)(-8)
3/4(1/5×5/3)(-8)
3/4(1/3)(-8)
1/4(-8)=-2
Hope this helps!
If not, I am sorry.
46. Geometry The volume of a cube is a function of the length of a side of the cube. Write a function for the volume of a cube. Find the volume of a cube with a side 13.5 cm long.
Answer:
1/3×22/7×r^2h
Step-by-step explanation:
the volume =1/3 ×22/7×r^2×13.5
Dry concrete can be made by mixing sand, gravel and cement
in the ratio 1: 2: 3. If you want 1800 kg of dry concrete,
how much of each will you need? Give your answers in
kilograms (kg).
A ratio shows how many times one number contains another.
Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is
[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]
The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]
And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]
What is the ratio ?
A ratio is an ordered pair of numbers [tex]a[/tex] and [tex]b[/tex], written [tex]\frac{a}{b}[/tex] where [tex]b[/tex] does not equal [tex]0[/tex]. A proportion is an equation in which two ratios are set equal to each other.
Here the given ratio is [tex]1:2:3[/tex].
Here given that,
The dry concrete is [tex]1800kg[/tex].
And the multiplication of the ratio is [tex]1[/tex]×[tex]2[/tex]×[tex]3=6[/tex]
Hence, the sand is in the ratio [tex]\frac{1}{6}[/tex] of the mixture is
[tex]\frac{1}{6}[/tex]×[tex]1800=300kg[/tex]
The Gravel is in the ratio [tex]\frac{2}{6}[/tex]×[tex]1800=600kg[/tex]
And the cement is in ratio [tex]\frac{3}{6}[/tex]×[tex]1800=900kg[/tex]
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The graph represents the piecewise function:
Answer:
in the attachment
Step-by-step explanation:
Given: Piece-wise function graph.
We need to find the function.
In the graph, we can see a two-piece
For -3≤x≤0
Endpoints on graph (-3,-6) and (0,0)
It is the horizontal line. The equation of the horizontal line is y=k.
Equation: y=3
Now, we write as a piecewise function.
First blank = 2x
Second Blank = 3
hope this helps:)
3. Use the following diagram to solve for x.
The value of x from the given diagram is -6
Lines and anglesLine is defined as the distance between two points. Given the line RP with the following measures
RP = 17
RQ = x + 14
QP = x + 15
Using the expression
RP = RQ + QP
Substitute
17 = x + 14 + x + 15
17 = 2x + 29
Determine the value of x
2x = 17 - 29
2x= -12
x = -6
Hence the value of x from the given diagram is -6
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Hi, please help me find the volume of this sphere :)
Answer: 8788
Step-by-step explanation:
Use the formula and use 3 for pi
13cm is the radius
[tex]13^{3\\[/tex] = 2197
2197 x 3 = 6591
6591 x 4/3 = 8788
A B Find the solution to this equation. 32x = 8(4x + 2) - 16 All real numbers No solution 22 International Academy of Science. All Rights Reserved. A B Find the solution to this equation . 32x = 8 ( 4x + 2 ) - 16 All real numbers No solution
Answer: The answer for this problem is all real numbers or R.
Step-by-step explanation: In order to solve first you must deal with what's inside the parenthesis.
[tex]8(4x+2)=8*4x + 8*2= 32x +16[/tex]
Now that the parenthesis is out of the picture, now proceed to subtract the 16 that was outside of the parenthesis.
[tex]32x+16-16=32x[/tex]
You should then have an equation set up like so.
32x = 32x
Now you need to move one of the 32x's to the other side of the equation.
[tex]32x-32x=0[/tex]
Your final equation should be.
0 = 0
So, all real numbers (R) will work for this equation.
Which point has coordinates (5,-7pi/6)?
Point A
Point B
Point C
Point D
