The perimeter of a rectangular garden is 286 feet. If the width of the garden is 55 feet, what is its length?I feetХ$?
Answers
The lenght of that garden must be 88 ft.
Related Questions
A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 10-key keypad. Repetition of digits is allowed. What is the probability of a
correct guess on the first try?
Answers
Answer:
I think it's either 1 out of 44, 1 out of 40, or 1 out of 10, or 4 out of 10
There are 10,000 possible codes. The probability of guessing the code on the first try is 0.0001 or 1/10,000.
Sea grass grows on a lake. The rate of growth of the grass is ????????/???????? = ????????, where ???? is a constant.
a. Find an expression for ????, the amount of grass in the lake (in tons), in terms of ????, the number of years, if the amount of grass is 100 tons initially, and 120 tons after one year.
b. In how many years will the amount of grass available be 300 tons?
c. If fish are now introduced into the lake and consume a consistent 80 tons/year of sea grass, how long will it take for the lake to be completely free of sea grass?
Answers
Answer:
\((a)\ G(t) = 100 *e^{0.1823t}\)
\((b)\ t = 6\)
\((c)\ t = 1.7\)
Step-by-step explanation:
Given
\(G_0 = 100\) --- initial
\(G(1) = 120\) --- after 1 year
\(r \to rate\)
Solving (a): The expression for g
Since the rate is constant, the distribution of G follows:
\(G(t) = G_0 * e^{rt}\)
\(G(1) = 120\) implies that:
\(G(t) = G_0 * e^{rt}\)
\(120 = G_0 * e^{r*1}\)
Substitute \(G_0 = 100\)
\(120 = 100 * e^{r\)
Divide both sides by 100
\(1.2 = e^{r\)
Take natural logarithm of both sides
\(\ln(1.2) = \ln(e^r)\)
\(0.1823 = r\)
\(r = 0.1823\)
So, the expression for G is:
\(G(t) = G_0 * e^{rt}\)
\(G(t) = 100 *e^{0.1823t}\)
Solving (b): t when G(t) = 300
We have:
\(G(t) = 100 *e^{0.1823t}\)
\(300 = 100 *e^{0.1823t}\)
Divide both sides by 100
\(3 = e^{0.1823t}\)
Take natural logarithm
\(\ln(3) = \ln(e^{0.1823t})\)
\(1.099 = 0.1823t\)
Solve for t
\(t = \frac{1.099}{0.1823}\)
\(t = 6\) --- approximated
Solving (c): When there will be no grass
Reduction at a rate of 80 tons per year implies that:
\(G(t) = 100 *e^{0.1823t}- 80t\)
To solve for t, we set G(t) = 0
\(0 = 100 *e^{0.1823t}- 80t\\\)
Rewrite as
\(80t = 100 *e^{0.1823t}\)
Divide both sides by 100
\(0.8t = e^{0.1823t}\)
Take natural logarithm of both sides
\(\ln( 0.8t) = \ln(e^{0.1823t})\)
\(\ln( 0.8t) = 0.1823t\)
Plot the graph of: \(\ln( 0.8t) = 0.1823t\)
\(t = 1.7\)
Given z, find |z|.
z=-2-6i
Answers
\( \Large{\boxed{\sf | \sf z| = \sf \sqrt{40} = 2\sqrt{10} }} \)
\( \\ \)
Explanation:We are given a complex number in algebraic form, and we would like to find its modulus, |z|.
\( \\ \\ \)
Modulus of a complex number\( \\ \\ \)
Let's recall that a complex number in algebraic form is written as \( \sf z = a + ib \) , where a is its real part and b is its imaginary part.
\( \\ \)
The modulus of said complex number is calculated as follows:
\( \sf | \sf z| = \sqrt{a^2 + b^2} \)
\( \\ \)
\( \hrulefill \)
\( \\ \)
Let's identify our values:
\( \sf z = -2 - 6i \Longleftrightarrow z = \underbrace{\sf -2}_{\sf a} + (\underbrace{\sf -6}_{\sf b})i \)
\( \\ \)
Now, substitute these values into our formula:
\( \sf | \sf z | = \sqrt{(-2)^2 + (-6)^2} = \sqrt{4 + 36} = \boxed{\sf \sqrt{40}} \)
\( \\ \)
While this may be optional, the result can be simplified by using the following property:
\(\green{\begin{gathered}\begin{gathered} \\ \boxed { \begin{array}{c c} \\ \blue{ \star \: \sf{\boxed{ \sf Product \: rule \: of \: square \: roots\text{:}}}} \\ \\ \sf{ \diamond \: \sqrt{ab} = \sqrt{a} \times \sqrt{b} } \\ \end{array}}\\\end{gathered} \end{gathered}}\)
\( \\ \)
\( \sf \sqrt{40} = \sqrt{4 \cdot 10} = \sqrt{4} \cdot \sqrt{10} = \boxed{\boxed{\sf 2\sqrt{10}}} \)
\( \\ \)
\( \hrulefill \)
\( \\ \)
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a circular wall clock with a circumference of 94.2 cm is mounted on a wall. How much area of the wall did it occupy
Answers
So…
94.2 = 3.14 • diameter
94.2/3.14 = 30 cm
The diameter is 30 cm, so the radius (1/2 of diameter) would be 15 cm.
Area = 3.14 • radius^2
So…
Area = 3.14 • 15^2
Area = 706.5 cm squared
A number is less than 100. The number has 12 and 15 as factors.
Answers
Answer:
60
12 x 5 = 60
15 x 4 = 60
The graph of a function is shown on the coordinate plane below. Identify the slope of
the function.
Answers
Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Answers
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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c) The group is planning to build a fence around the garden. How many yards of
fencing materials do they need for the fence? Show your work. (3 points-2 points for
finding the value of side b and 1 point for finding the perimeter of the garden)
I
Answers
Based on the information, it should be noted that the perimeter that they need is 130 yds to build up the fence.
How to explain the valueAttached you can find a picture that will guide the explanation. We will assume that each line is supposed to be a fence. We will assume also that the diagonals that cross any subfield that has the same vegetable is unnecessary.
On the same fashion, the diagonal of the spinach-celery sector is 10. Recall that the field is a rectangle, so the perimeter of the outter fence is 2*(12+6)+2*(8+9) = 70 yds. Then, the total perimeter is given by
outter fence (70)+
fence spinach-watermelon (8) +
fence red peppers-watermelon(12)+
fence red peppers-carrots (15)+
fence carrots-tomatoes (9)+
fence celery-tomatoes(6) +
fence spinach-celery(10)
= 130 yds
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Please turn the sentence into an expression
3. twelve more than the sum of ten and a
number
Answers
Answer:
Do U-Turn
Step-by-step explanation:
Step-by-step explanation:
12+(10+x)
I hope this helps
GEOMETRY 100 POINTS
Find the length of BC
Answers
Answer:
x = 16
Step-by-step explanation:
Opposite sides are equal in a parallelogram
AD = BC
5x - 12 = 3x + 20
5x - 3x = 20 + 12
2x = 32
x = 32/2
x = 16
Can y’all help on question 29?!
Answers
Answer:
Option C: 20 cm^2
Step-by-step explanation:
Essentially, surface area is just area added up. In this question, there are 4 same rectangles and 2 squares with the areas given. So you have to figure out the total.
Since there are 4 rectangles and each of them has an area of 4cm just multiply 4 by 4 to get 16.
Then, since there are 2 squares with an area of 2 cm each just multiply 2 by 2 to get 4.
Add both numbers, 16 + 4 = 20 and you get your answer.
The total surface area would be 20cm^2.
Fill out the box please
Answers
The value of the functions are;
x = 1, f(x) = 1/2
x = 2, f(x) = -1
x = 3 , f(x) = -5/2
x = 3, f(x) = -4
How to determine the valueNote that functions are expressions or equations that shows the relationship between variables.
The variables are;
The independent variableThe dependent variableFrom the information given, we have the function as;
f(x) = -3/2x + 2
Now, substitute the value of x as 1
f(1) = -3/2(1) + 2
f(1) = -3/2 + 2 = -3 + 4 /2 = 1/2
f(2) = -3/2(2) + 2
expand the bracket
f(2) = -6/2 + 2 =-6 + 4 /2 = -2/2 = -1
For the value of x = 3
f(3) = -3/2(3) + 2
expand the bracket'
f(3) = -9/2 + 2
f(3) = -5/2
For the value of x = 4
f(4) = -3/2(4) + 2
f(4) = -8/2
f(4) = -4
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What's the first term of the expansion of (x+y)9?
Answers
How do u write 2(18+w)<=46 in words
Answers
Answer:
Step-by-step explanation:
2 ( 18 + w) ≤ 46 in words:
Twice the sum of 18 and w is less or equal than 46.
I do not know how to add it . The bottom ans top ?
Answers
Answer:
14
Step-by-step explanation:
5\(\frac{1}{5}\) + 8\(\frac{5}{6}\)
5 1/5 = 26/5
8 5/6 = 53/6
26/5 + 53/6 = 156/30 + 265/30 = 412/30 = 206/15 ≈ 13.75
So, I say the answer is 14
Write the equation for the function graphed attached
f(x)=
Answers
Answer:
here
Step-by-step explanation:
emily has $100 extra to spend on supplies for her T-shirt-making business. she wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. which inequality below represents this scenario?
Answers
(c) 15i + 4b ≥ 100 inequality represents this scenario.
To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:
Total cost = 8x + 18y
We want to know when this total cost is less than or equal to $100, so we can write:
8x + 18y ≤ 100
This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.
Correct Question :
Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?
a) 4i+100 ≤ 15b
b) 15i + 4b ≤ 100
c) 15i + 4b ≥ 100
d) 4i + 15b ≤ 100
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460 000 X 500 000
In Scientific notation
Answers
Answer:
2.3 x 10^11
Step-by-step explanation:
2x + y = 7
x + y = 1
Answers
The solution to the system of equations is x = 6 and y = -5, which is the same as we obtained using the elimination method.
What is the system of equations?A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously. The given system of equations is:
2x + y = 7 ---(1)
x + y = 1 ---(2)
To solve this system, we can use the method of elimination or substitution.
Method 1: Elimination
In this method, we eliminate one of the variables by adding or subtracting the two equations. To do this, we need to multiply one or both equations by a suitable constant so that the coefficients of one of the variables become equal in magnitude but opposite in sign.
Let's multiply equation (2) by -2, so that the coefficient of y in both equations becomes equal in magnitude but opposite in sign:
-2(x + y) = -2(1) --
Multiplying equation
(2) by -2-2x - 2y = -2
Now we can add the two equations (1) and (-2x - 2y = -2) to eliminate y:
2x + y = 7(-2x - 2y = -2)0x - y = 5
We now have a new equation in which y is isolated.
To solve for y, we can multiply both sides by -1:
-1(-y) = -1(5)y = -5
Now that we know y = -5, we can substitute this value into equation (2) to find x:x + y = 1x + (-5) = 1x = 6
Therefore, the solution to the system of equations is (x,y) = (6,-5).
Method 2: Substitution
In this method, we solve one of the equations for one variable in terms of the other variable and substitute this expression into the other equation to get an equation with only one variable.
From equation (2), we can solve for y in terms of x:y = 1 - x
We can then substitute this expression for y into equation (1):2x + y = 72x + (1 - x) = 7 --Substituting y = 1 - xx + 1 = 7x = 6
Now that we know x = 6, we can substitute this value into equation (2) to find y:x + y = 16 + y = 1 --Substituting x = 6y = -5
Therefore, the solution to the system of equations is (x,y) = (6,-5), which is the same as we obtained using the elimination method.
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Select the two equations that will help you to solve this problem:
The combined average weight of an okapi and a llama is 450 kilograms.
3 llamas, on average, weigh 190 kilograms more than an average okapi.
You want to find the average weight of each type of animal.
Answers
Answer:
An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.
Step-by-step explanation:
Let,
x be the average weight of a Ilamas
y be the average weight of an okapi
According to given statement;
x + y = 450 Eqn 1
3x = y + 190 Eqn 2
From Eqn 2
y = 3x - 190 Eqn 3
Putting this value of y in Eqn 1
x + (3x-190) = 450
x + 3x - 190 = 450
4x = 450 + 190
4x = 640
Dividing both sides by 4
\(\frac{4x}{4}=\frac{640}{4}\\x=160\\\)
Putting x = 160 in Eqn 3
y = 3(160) - 190
y = 480 - 190
y = 290
Hence,
An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.
absolute value evaluate problem
|-4| =?
SHOW WORK:
Answers
The expression |-4| has a value of 4 when evaluated
How to evaluate the absolute expressionFrom the question, we have the following parameters that can be used in our computation:
|-4|
The above expression is an absolute expression
So, the solution is the positive value of the expression in bracket
Evaluate the expressions in the brackets
So, we have the following representation
|-4| = 4
Hence, the expression has a value of 4
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Find the slope of the line through the points (5,−3) and (5, 8).
Answers
Answer:
The slope is undefinedStep-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)
From the question the points are
(5,−3) and (5, 8)
The slope is
\(m = \frac{8 - - 3}{5 - 5} = \frac{8 + 3}{5 - 5} = \frac{8}{0} \\ \)
Since every number divided by zero is undefined the slope of the line is also undefined.
Hope this helps you
Determine whether the rule represents an exponential function. Explain why or why not.
Y=-2•x^7 WILL MARK BRAINLIEST
A. Since the independent variable X is not the exponent, y=-2•x^7 does not represent an exponential function.
B. Since the independent variable X is not the base, y=-2•x^7 does not represent an exponential function.
C. Since the independent variable x is the base, y=-2•x^7 does represent an exponential function.
D. Since the independent variable X is the exponent, y=-2•x^7 represents an exponential function.
Answers
The equation y = - 2 · x⁷ is not an exponential function because the independent variable x is the base of the formula instead of being its exponent. (Correct choice: A)
Does a given expression represent an exponential function?
In this problem we need to determine whether the equation y = - 2 · x⁷ represent an exponential function or not. Exponential functions are expressions of the form:
y = b · aˣ
Where:
a, b - Real coefficients. (b - Value when x = 0, a - Base)x - Independent variable.y - Dependent variable.By direct comparison we notice that the given equation is not an exponential function as the independent variable x is not the exponent of the expression and it is the base instead. The expression y = - 2 · x⁷ is a power function, not an exponential function.
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A duck swims from the edge of a circular pond to a fountain in the center of the pond. Its path is represented by the dotted line in the diagram below. What term describes the duck's path?
Answers
STEP - BY - STEP EXPLANATION
What to find?
The term that describes the duck's path.
Given
Step 1
Observe that that the duck's path subtended from the center to a point on the circumference of the circle.
Step 2
Determine the name for the path.
Any line that subtends from the circle to any point on the circumference is
radius.
ANSWER
Radius.
Multiply the conjugates.
(x + 2y)(x - 2y)
First to give correct answer gets the brainliest, and hurry please this is timed
Answers
Answer;
equal; \(x^{2} - 4y^{2}\)
Which of the following equations is equivalent
Answers
Answer:
3x+4=10
Step-by-step explanation:
if 6 people can walk 12 dogs, how many people are needed to walk 24 dogs
Answers
Answer:
12 people are need to walk 24 dogs
Step-by-step explanation:
12/2=6
24/2=12
Answer:
12 people can walk 24 dogs.
Step-by-step explanation:
Given information,
→ 6 people can walk 12 dogs.
→ People required for 24 dogs = ?
Let us assume that,
→ Missing value = p
Forming the equation,
→ 6/12 = p/24
Then the value of p will be,
→ 6/12 = p/24
→ p/24 = 6/12
→ p × 12 = 6 × 24
→ 12p = 144
→ p = 144/12
→ [ p = 12 ]
Hence, the value of p is 12.
With a 5% sale discount, the price of an item is $38.00. What was the original price?
Answers
Answer:40
Step-by-step explanation:
1)38/x=95/100
2)cross multiply: 3800=95x
3)divide each side by 95 (3800/95 and 95x/95)
4)simplify to get the answer
Answer: $40
Step-by-step explanation:
vqkrwfvihawdgvcijahbdfljhbasvlkjhabslcvhqsljdvhbaljsdhf
I’ll give BRAINLIEST help pls
Answers
Answer:
ok
Step-by-step explanation:
you do a little bit of this a little bit of that and get ok
The Valdez family bought a Blu-ray player on sale. The original price was $120. They received a 12% discount. How much did the Valdez family pay for the Blu-ray player after the discount?
Answers
Answer:105.60
Step-by-step explanation:your welcome