10. A garden is to be surrounded by a paved
border of uniform width.
16 m
|-X-
L=16+X+x
L= 2x+16
W=14+x+x
W= 2x+14
14 m
a) Write a simplified expression for the
area of the border.
b) The border is to have an area of
216 m². Find the width of the border.
I need help! its really hard to do
Identify coordinate point B. (0, 2) (1, 5) (7, 3) (6, 7)
Answer:
i think 1.5 imagine a dot so its on 5 and 1 then you get 1.5 thats what i think
Step-by-step explanation:
pls dont get mad if i got it wrong D:
Answer:(1, 5)
Step-by-step explanation:
Write a negative function h(x) with a y-intercept at "-4" with one solution
The required negative function h(x) with a y-intercept at "-4" with one solution is x + 4
Intercept of the equationThe y-intercept of an equation is the pint where the x-value of the function is 0, that is;
f(-4) = 0
Since the solution has one solution, hence it will be linear in nature
h(x) = x + 4
This gives the required negative function h(x) with a y-intercept at "-4" with one solution
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WILL MARK BRAINLIEST IF THERES WORK SHOWN AND ITS RIGHT PLEASE
An expression is shown below:
2x³ + 10x² - 4x2y - 20xy
Part A: Rewrite the expression by factoring out the greatest common factor
Part B: Factor the entire expression completely. SHOW THE STEPS OF YOUR WORK.
There is estimated to be a population of approximately 85 mice on Farmer Jon's Farm, and the population is tripling each year. Does the scenario above represent exponential growth or decay? write an equation to represent the scenario.
Answer:
Exponential growth
Step-by-step explanation:
As it mentions that the population is tripling each year, we can clearly understand that it is exponential growth.
Equation
⇒ Let y be total population of mice and x the number of years
⇒ y = 85(3ˣ)
Hope it helps ~
In Galton’s height data, the least-squares line for predicting forearm length (y) from height (x) is y = −0.2967 + 0.2738x.
Predict the forearm length of a man whose height is 72 in. Round the answer to three decimal places.
Using the line of best fit, it is found that the prediction of the forearm length of a man whose height is of 72 in is of 19.417 in.
What does the line of best fit state?It states that the predicted forearm length of a person of height x is given by:
y = -0.2967 + 0.2738x.
In this problem, the height is of x = 72 in, hence:
y = -0.2967 + 0.2738(72) = 19.417 in.
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what is 9 - 3 dived by 1/3 + 1 =
Solve x^2 =-25, where x is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Answer: x = ±5i
Step-by-step explanation:
√x2 = √−25
x = √−1 ∗ 25
x = i√25
x = ±i5
Shawna is going out of town for the day, so she asks a friend to watch her 3 dogs. She wants to leave
1/2 of a pound of food for each dog. If a can of dog food has 0.75 pounds of food, how many cans should Shawna leave?
Answer:
2cans
Step-by-step explanation:
1/2 = .5 so .5×3=1.5 and 1.5 ÷ .075 =2
What is the completely factored form of f(x)=x^3+5x^2+16x+80 ?
f(x)=(x−5)(x−4i)(x+4i)
f(x)=(x+5)(x−4i)(x+4i)
f(x)=(x−5)(x−4)(x+4)
f(x)=(x+5)(x−4)(x+4)
Answer:
B) [tex]f(x)=(x+5)(x-4i)(x+4i)[/tex]
Step-by-step explanation:
[tex]f(x)=x^3+5x^2+16x+80\\\\f(x)=x^2(x+5)+16(x+5)\\\\f(x)=(x^2+16)(x+5)\\\\f(x)=(x-4i)(x+4i)(x+5)[/tex]
Thus, the second choice is correct.
Write and solve an addition or subtraction equation to find the missing angle measure
Answer:
n = 60°
Step-by-step explanation:
60° + n + 60° = 180° ( straight line angles)
-> n + 120° = 180°
-> n = 180° - 120°
-> n = 60°
The measure of the missing angle can be found using the equation 120 + n = 180 and the value of n is 60°.
What are Linear Pair of Angles?Linear pair of angles are the pair of angles formed when two lines are intersected at a point forming on a line.
Sum of the measures of angles of linear pair is supplementary.
Given is a line on which some shapes are drawn.
Clearly, it can be seen that,
The three angles 60°, n and 60° forms a linear angles since all are formed on a line.
So the sum is 180°.
60 + 60 + n = 180
120 + n = 180. is the required equation.
Solving,
n = 180 - 120 = 60°
Hence the value of n is 60 degrees.
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pls help (this is for a frend)
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$5\\ P=\textit{original amount deposited}\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &\frac{1}{2} \end{cases} \\\\\\ 5 = (P)(0.0125)(\frac{1}{2})\implies \cfrac{5}{(0.0125)(\frac{1}{2})}=P\implies 800=P[/tex]
20d + 0.7m = 235
Shelly spent $235 to rent a moving van. The equation above shows the relationship
between the number of days she rented the van, d, and the number of miles she drove
the van, m. If she rented the van for 3 days, how many miles did she drive the van?
The number of miles she drove the van for is 250 miles
Solving linear equationsFrom the question, we are to determine the number of miles Shelly drove the van
The given equation which shows the relationship between the number of days she rented the van, d, and the number of miles she drove the van, m is
20d + 0.7m = 235
Now, if she rented the van for 3 days, that is, d = 3
Putting the value of d = 3 into the equation to determine the value of m
We get
20(3) + 0.7m = 235
60 + 0.7m = 235
0.7m = 235 - 60
0.7m = 175
m = 175 / 0.7
m = 250
Hence, the number of miles she drove the van for is 250 miles
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Please help me with question 36. I don’t know the answer
Answer:
Period = [tex]\frac{\pi }{4}[/tex]
Amplitude = 4
Step-by-step explanation:
To find the answer, use the form acos(bx - c) + d:
a = -4
b = 8
c = 0
d = 0
The amplitude is the absolute value of a, so:
|a| = |-4| = 4
To find the period, use this equation:
[tex]\frac{2\pi }{b}[/tex]
Replace b with 8 in the formula and solve:
[tex]\frac{2\pi }{8} = \frac{\pi }{4}[/tex] Simplify
So, the period is equal to [tex]\frac{\pi }{4}[/tex]
Hope this helps!!
Help please! Will give brainliest!!!!!!!!!!!!!!
Answer:
a is the same aand b is the sane
convert 12 minutes 35 seconds to seconds
:_
Answer:
755s
Step-by-step explanation:
60*12+35=755
This is the way
Answer:
755 seconds
Step-by-step explanation:
1min = 60 sec
12 x 60 = 720
720+35 = 755
:)
Alice, a 16-year-old, gave birth to a baby boy last year. how will this affect the likelihood that her 13-year-old sister, marie, will have a baby
Answer:
I think that the actions of older people/family members around you greatly influence that thoughts/actions of a younger child. Since Marie looks up to Alice, Marie probably thinks that having a child at such a young age is a good idea. Therefore if Alice gave birth at the age of 15, there is a high chance her younger sister will follow in her footsteps.
(I'm not sure how this relates to math)
What is true about the domain and range of the function? the domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1. the domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4. the domain is all real numbers, and the range is all real numbers less than or equal to 4. the domain is all real numbers less than or equal to 4, and the range is all real numbers.
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
How to determine the true statement?The equation of the function is given as:
f(x) = -(x + 3)(x -1)
The above function is a quadratic function, and the domain of a quadratic function is the set of all real numbers
Expand the function
f(x) = -(x² + 3x - x - 3)
f(x) = -(x² + 2x - 3)
Expand
f(x) = -x² - 2x + 3
Differentiate
f'(x) = -2x - 2
Set to 0
-2x - 2 = 0
Add 2 to both sides
-2x = 2
Divide through by -2
x = -1
Substitute x = -1 in f(x)
f(-1) = -(-1 + 3)(-1 -1)
Evaluate
f(-1) = 4
This means that the maximum value of the function is 4
Hence, the domain is all real numbers, and the range is all real numbers less than or equal to 4.
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Answer: C: The domain is all real numbers, and the range is all real numbers less than or equal to 4.
Step-by-step explanation: EDGE 2022
If you were going to buy a $60 game, which would save you more money: a coupon for 30% off or a
$20 off coupon?
Answer:
A coupon for 30%
Step-by-step explanation:
A coupon takes the a certain percentage of a price and subtracts it (a discount). A coupon for 30% off takes 30% of the price which is $60 and subtracts it, same goes for the $20 off coupon. Because a greater percentage is being taken off of the price, the 30% off coupon would save someone more money.
f(x) = 3x + 2
What is f(5)?
Answer:
17
Step-by-step explanation:
→ f(x) = 3x + 2
→ f(5) = 3(5) + 2
→ 15 + 2
→ 17 is the answer.
Answer:
F(5) = 17
Step-by-step explanation:
to solve, we just need to plug all values of x into 5 as shown
f(x) = 3x + 2
f(5) = (3*5) + 2
then following the format of PEMDAS (explained at footer) we solve the new equation
f(5) = (3*5) + 2
f(5) = 15 + 2
f(5) = 17
therefor F(5) is equal to 17
The PEMDAS format of solving equations:
the term Pemdas stands for the steps involved in solving an equation
Parenthasis (follow PEMDAS within these ( ) first untill in simplest form)
Exponents (such as x^y)
Multiply (any multiplication)
Devide (any devision)
Addition (any addition)
Subtraction (any subtraction)
hpe all this helps you ^^
The diameter of a circle is 42 ft. Find its area to the nearest whole number.
Answer:
5539 or 1764[tex]\pi[/tex]
Step-by-step explanation:
to find the area, we need the radius
The radius(R) is half of the diameter(D)
R = D/2
R = 42/2
R = 21
area of a circle(A) = pi x radius[tex]^{2}[/tex]
A = pi( which most times in a problem, equals 3.14) x 42[tex]^{2}[/tex]
A = 3.14 x 1764
A = 5538.96
A(when rounded) = 5539
Jimmy has a new job and plans to start saving some money. he decides to use his knowledge of geometric series to set up a savings plan that will start off with him setting aside a small amount each week, and end with him saving a large amount. in each of the first 5 weeks of his job, he wants to raise $2 to the number of weeks he has been working, multiply it by 3, and add that amount to the savings account. use summation notation to write this as a sum and find the total amount jimmy will save in 5 weeks.
The equation that represents the amount saved is T(n) = 3 * (2^n), and the total amount saved in 5 weeks is $186
How to determine the sum of total amount?The statement is given as:
raise $2 to the number of weeks he has been working, multiply it by 3,
Let the number of weeks be n.
So, we have:
T(n) = 3 * (2^n)
For week 1 to 5, we have:
T(1) = 3 * (2^1) = 6
T(2) = 3 * (2^2) = 12
T(3) = 3 * (2^3) = 24
T(4) = 3 * (2^4) = 48
T(4) = 3 * (2^5) = 96
The sum is then calculated as:
Sum = 6 + 12 + 24 + 48 + 96
Evaluate the sum
Sum = 186
Hence, the total amount saved in 5 weeks is $186
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In a Crystal Light container, the ratio of strawberry flavored packages to orange flavored packages are 8 to 4. Based on this ratio, how many orange flavored packages will you find in a Crystal Light container with a total of 96 packages?
Answer:
32
Step-by-step explanation:
With the ratio 8:4 we can assign variables.
8x+4x=96
12x=96
x=8
Subsitute to ratio: 8x:4x
64:32
32 orange packages
Hope this helps
52 + 6 × (5 − 3) − 10⁄2 =??
Answer:
PEMDAS
Step-by-step explanation:
start with parantheses
52+6×(5-3)-10/2
52+6×2-10/2
no exponents so move on to multiplication
52+12-10/2
followed by division
52+10-5
finally add and subtract
57
Yuuma applied the steps below to find the product of (–10.2)(–16.4).
Step 1: (–10.2)(–16.4) = (–16.4)(–10.2)
Step 2: = (–16.4)(–10) + (–16.4)(–0.2)
Step 3: = ____________
Step 4: = 167.28
Which expression correctly fills in the blank in Step 3?
(–164) + (–3.28)
164 – 3.28
(–164) + 3.28
164 + 3.28
Answer:
164+3.28
Step-by-step explanation:
(16.4)(10)+(16.4)(0.2)
164+3.28
167.28
Use the information in the diagram to find the length of segment AD. Round your answer to the nearest hundredth.
If the length of the side AB is 39.21 then the length of the side AD will be 21.61. Then the correct option is B.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function. The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The length AD is given as
AD = AB - BD
AD = AB - 17.6
Then the value of AB will be given by the Pythagoras theorem.
AB² = BC² + CA²
AB² = 26.5² + 28.9²
AB² = 1537.46
AB = 39.21
Then the value of AD will be
AD = 39.21 - 17.6
AD = 21.61
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How to find maximum and minimum values of a parabola
Answer:
Step-by-step explanation:
Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.
Greg bought a new tv on sale the sale price was 45% off of the original price the tv greg bought had an original price of 320$ if mike gave the cashier 200$ how much money did he receive back
Answer:
$24
Step-by-step explanation:
320 x 0.45=144
320-144=176
200-176=24
Solve these pls I will give 25 points
Answer:
108 minutes
Step-by-step explanation:
because 45/5=9 and 180/20=9 so multiply 12 by 9 12x9=108