Answer:
[tex]60ft[/tex]
Step-by-step explanation:
Use the formula for the perimeter of a rectangle.
[tex]P=2l+2w[/tex]
[tex]180=2l+2(30)[/tex]
[tex]180=2l+60[/tex]
[tex]180-60=2l[/tex]
[tex]120=2l[/tex]
[tex]\frac{2l}{2}=\frac{120}{2}[/tex]
[tex]l=60[/tex]
Jill invested $20,000 in an account that earned 5.5% annual interest, compounded annually. What is the value of this account after 10 years? Express your answer rounded to the nearest cent.
Answer:
A = $ 34,162.89
Step-by-step explanation:
A = $ 34,162.89
A = P + I where
P (principal) = $ 20,000.00
I (interest) = $ 14,162.89
Compound Interest Equation
A = P(1 + r/n)nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Answer:
34,162.89
Step-by-step explanation:
the vertex of this parabola is at (3,-2). When the x-vaue is 4, the y-value is 3. What is the coefficient of the squared expression in the parabola equation?
=========================================================
Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
--------
Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
If 1/3 of a gallon of paint covers 1/9 of a gate, then how many gallons of paint are needed to cover the entire gate?
A. 3 Gallons
B. 20 Gallons
C. 6 Gallons
D. 1 Gallon
A. 3 Gallons
Step-by-step explanation:
1/3÷1/9
1/3÷1/9=1/3 x 9/1
(Then Multiply)
1x9/3x1= 9/3= 3
3 Gallons of paint
3 Galoons of paint is needed to pain the total gate.
What is unit rate?Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.
Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,
Since,
1/3 gallons of paint is = 1/9 part of the gate,
Therefore,
1 gate = 1/3 x 9 = 3
Hence 3 Galoons of paint is needed to pain the total gate.
Learn more about unit rates, click;
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Find the value of y
mZ1 = 2y + 8
Answer:
y=4
Step-by-step explanation:
Peter rides a bike along a triangular path in the neighborhood park. The sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far does Peter ride? 10.75 miles miles 12.35 miles 13.15 miles
a triangular path in the neighborhood park. The
sides of the path measure 3.36 miles, 4.18 miles, and 5.61 miles. How far
does Peter ride?
Answer:
The distance that Peter rides is:
13.15 miles.Step-by-step explanation:
To identify the miles that Peter rides, you must imagine the triangle with measures: 3.36 miles, 4.18 miles, and 5.61 miles. How you can suppose, Peter regularly rides exactly by each side of the triangle mentioned, then you must find the perimeter of the triangle to identify the miles that Peter rides, remember that the perimeter of an irregular triangle is:
Perimeter of a triangle = side + side + sideIf you replace the formula, you obtain:
Perimeter of a triangle = 3.36 miles + 4.18 miles + 5.61 miles Perimeter of a triangle = 13.15 milesUsing the following image, solve for x.
Answer:
x=6
Step-by-step explanation:
(2+x)+1=2x-3
3+x=2x-3 . Combine like terms
6+x=2x Add 3 to both sides
x=6 Subtract X from both sides
Determine which equation has the same solutions as the equation below.
4x^2 + 32x − 28 = 0
A.) (x + 4)^2 = 23
B.) 4(x + 4)^2 = 36
C.) 4(x + 8)^2 = 28
D.) (x + 8)^2 = 57
The answer is A.) (x + 4)^2 = 23
Proof that I am correct
Insert a digit to make numbers that are divisible by 24 if it is possible:
38__36
Answer:
Step-by-step explanation:
24=8×3
sum of digits is divisible by 3
and last three digits are divisible by 8.
3+8+3+6=20
if we add 1 then sum=21 which is divisible by 3,also 136 is divisible by 8
so 38136 is divisible by 24.
other number is 38736
(01.01 LC)
Evaluate the expression
5/7 - 4)2 + 3 + 11.
Answer:
Step-by-step explanation:
[tex](\frac{5}{7}-4)2+3+11=(\frac{5}{7}-\frac{4*7}{7})2+3+11\\\\=(\frac{5}{7}-\frac{28}{7})2+3+11\\\\=(\frac{-23}{7})2+3+11\\\\=\frac{-46}{7}+3+11\\\\=\frac{-46}{7}+14\\\\=\frac{-46}{7}+\frac{14*7}{1*7}\\\\=\frac{-46}{7}+\frac{98}{7}\\\\=\frac{-46+98}{7}\\\\=\frac{52}{7}\\\\=7\frac{3}{7}[/tex]
I need help
A.4
B.1/4
C.-4
D.-1/4
Answer:
The answer is C/-4.
Step-by-step explanation:
Mark me brainiiest.
If two-thirds of a number is five-thirds more than the number, what is the number?
What is 3lna+lnb−lnc written as a single logarithm?
Answer: here's the answer
Find the area of a regular hexagon with a perimeter of 72 inches. *
1 point
360.055 square inches
374.112 square inches
381.489 square inches
The area of the hexagon is the amount of space on it
The area of the hexagon is 374.112 square inches
How to detemine the area of the hexagpon?The perimeter is given as:
P = 72 inches
The length of the hexagon is calculated using:
L = P/6
So, we have:
L =72/6 = 12
The area is then calculated as:
A = 1.5[tex]\sqrt 3[/tex] * L^2
This gives
A = 1.5[tex]\sqrt 3[/tex] * 12^2
Evaluate the product
A = 374.112
Hence, the area of the hexagon is 374.112 square inches
Read more about areas at:
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Determine the value of z in the figure answers: z = 40° z = 90° z = 20° z = 45°
Answer:
20 degreesStep-by-step explanation:
This is a linear pair, whose sum always equals 180 degrees,
hence, we can set up the equation:
2z+140=180
2z=180-140
2z=40
z=40/2
z=20
Thus, the answer is 20 degrees
Answer:
z = 20°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
2z+ 140 = 180
Subtract 140 from each side
2z+140-140 = 180-140
2z = 40
Divide by 2
2z/2 = 40/2
z = 20
Examine the two-step equation. -7/4+x/4=2 Which property of operations allows you to add the same constant term to both sides? multiplication property of equality division property of equality addition property of equality subtraction property of equality
Answer:
Addition property of equality
Step-by-step explanation:
Answer:
The correct asnwer for this question is C. addition property of equailty
Hope this helps, and have a wonderful day! :)
Step-by-step explanation:
Can someone help me with this please
Answer:
63.6
Step-by-step explanation:
[tex]\sqrt{45^{2} + 45^{2}} = \sqrt{4050}[/tex]
Kite K N M L is shown. Sides L K and K N are congruent. The length of L K is 2 y + 5 and the length of K N is y + 10. Sides N M and M L are congruent. The length of N M is 2 x + 6 and the length of M L is 3 x minus 1. What are the lengths of sides KN and NM of the kite? KN = units NM = units
Answer:
kn=15
nm=20
Step-by-step explanation:
The lengths of sides KN and NM of the kite
KN = 15 units
NM = 20 units
What is kite's shape?A kite is a quadrilateral with four sides that may be divided into two neighboring pairs of equal length sides. A parallelogram, on the other hand, has two sets of equal-length sides, but they are opposed to one another as opposed to being adjacent.
Given:
KLMN is a kite.
According to the given kite,
KN = KL........ (1)
and LM = NM........ (2)
From equation (1)
y + 10 = 2y + 5
y = 5.
Now,
3x -1 = 2x + 6
x = 7
We get,
LM = MN = 20
KN = 15 units
NM = 20 units
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what is the area of this triangle
Answer:
Probably b or e
Step-by-step explanation:
this took me a while to answer this.
Enter the ordered pair that is the solution to the system of equations graphed below y = - 1/2 * x - 1 y = - 3x + 9
Answer:
x= 4 and y =-3
Step-by-step explanation:
To find the pair that is the solution to the system of equations, we will follow the steps below;
y = -1/2 x - 1 -----------------------------------------------------------------------------------(1)
y = -3x + 9 ---------------------------------------------------------------------------------------(2)
substitute equation (1) in equation (2)
-1/2 x - 1 = -3x + 9
collect like term
-[tex]\frac{1}{2}X[/tex] + 3x = 9 + 1
-x+ 6x /2 = 10
5x /2 = 10
multiply both-side of the equation by 2
5x = 20
Divide both-side of the equation by 5
x = 4
substitute x = 4 into equation (2)
y = -3x + 9
y = -3(4) + 9
y = -12 + 9
y = -3
The solution is
x= 4 and y =-3
Which interval contains a local minimum for the graphed
function?
O [-4,-2.5)
O 1-2, -1]
O [1, 2]
O [2.5, 4]
470 centimeters = _____ meters
Answer:
4.7 meters
Step-by-step explanation:
Hope this helps! : )
Answer:
4.7 meter
Step-by-step explanation:
find the product of -8 (-12)
Answer:
-8(-12) = 96
Step-by-step explanation:
The word product, in mathematical terms, is the answer you get after multiplying something. So, to find the product of -8(-12), you have to multiply. A negative times a negative is equal to a positive, so -8 times -12 is equal to positive 96.
How do I find the value of x to the nearest degree?
Answer:
I don't know if it's too advanced for you but you could use the arctangent function.
[tex]tan (x)=\frac{15}{8}\\ x=tan^{-1}(\frac{15}{8} )\\x= 61.9275[/tex]
a.
Use the domain and range of each of the following relations to determine which is a function.
{3, 7, - 7,9}
b. {(3,9), (7. - 4), (-7,7)}
• {(3,9), (7. - 4), (37)
d. {(3,9), (7. - 4), (7,6), (-7, 7)}
Please select the best answer from the choices provided
Answer:
Option B.
Step-by-step explanation:
A relation is called a function if there exist unique value of y for each value of x.
In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.
In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.
In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.
In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.
Therefore, the correct option is B.
Answer: B.{(3,9), (7. - 4), (-7,7)}
Step-by-step explanation: got it right on edge
Mrs. Jacobsen asked her students to write a word problem that describes the graph below. Which word problem accurately describes the graph?
a. Jamie has $8, and she pays $2 per day to ride the bus.
b. Melinda has $4 and earns $2 allowance per day doing chores.
c. Carrina has $8, and she earns $2 per day babysitting.
d. Louise has $4, and she pays $2 per day for school lunch.
Answer:
The answer is a. Jamie has $8, and she pays $2 per day to ride the bus.
Step-by-step explanation:
When looking at the graph, you can see that you start with $8. You lose $2 per day. That is why you are losing money per day.
Answer:
A
Step-by-step explanation:
When you look at the graph you can see the she originally has $8, and then her mone decreases by 2 a day, which is due to bus ride fees.
what are their means and extremes of the following proportion
Answer:
a and d are extremes b and c are meansStep-by-step explanation:
[tex]\frac{a}{b} =\frac{c}{d}[/tex]
another way to write the equality of the two ratios is :
a : b = c : d
as you can see in the equality a : b = c : d
a and d are extremes b and c are meansVanessa has 40 gallons of water to her new fish pond in her backyard and wants to add more water. Her pond can hold a maximum of 256 gallons. Her garden hose can add 48 gallons of water in 2 minutes.
Answer:
A) 24*m + 40 ≤ 256
B) She could leave the house running for at most 9 minutes
Step-by-step explanation:
The missing questions are:
Part A. Create an inequality to represent the number of minutes, m, Vanessa could run the garden hose to add more water to the pond without adding the maximum amount in case of rain.
Part B. Select all the amounts of time, in minutes, that Vanessa could leave the house running.
A) 48 gallons of water in 2 minutes is the same as 24 gallons per minute. Considering that her pond can hold a maximum of 256 gallons, it already has 40 gallons, and that the flow rate is 24 gallons per minute, the inequality is:
24*m + 40 ≤ 256
B) Solving the previous equation:
24*m ≤ 256 - 40
m ≤ 216/24
m ≤ 9
-7n2 + 5n + 2 = 0
Find the discriminant of each quadratic equation then state the number and type of solutions.
Answer:
Step-by-step explanation:
D=5^2-4*(-7)*2
D=25+56
D=81
two real rational solutions, since 81 is a perfect square
Which answer is correct ?
Answer:
C the table and the equation
Hope this helps :)
Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2
Answer:
Step-by-step explanation:
Statements Reasons
1). M is the midpoint of segment AB 1). Given
B is the midpoint of segment MD
2). AM = MB and MB = BD 2). Definition of midpoint
3). MD = MB + BD 3). Segment Addition Postulate
4). MD = MB + MB 4). Substitution property of of Equality
5). MD = 2MB 5). Simplify
Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB
