Answer:
Step-by-step explanation:
405÷180=2×180+45,45°
750=180×4+30,30°
-210+180=-30,30°
495÷180=2×180+135,180-135=45°
-660°+360=-300°+360=60,60°
480-360=120,180-120=60,60°
A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.
Answer:
1425 square kilometer.
Step-by-step explanation:
2900 - 8.5% = 2653.5
2653.5 - 8.5% = 2427.9525
2427.9525 - 8.5% = 2221.5765375
2221.5765375 - 8.5% = 2032.74253181
2032.74253181 - 8.5% = 1859.95941661
1859.95941661 - 8.5% = 1701.8628662
1701.8628662 - 8.5% = 1557.20452257
1557.20452257 - 8.5% =1 424.84213815 ≈ 1425
The distribution of city championship wins shared by 3 HS girls basketball teams in Clayton, MO is as follows: Rockefeller HS 12, Clayton West 20, Clayton South 7. Rounded to the nearest 10%, approximately what percentage of the total wins does each team have?
Answer:
Rockefeller HS = 31%
Clayton West = 51%
Clayton South = 18%
Step-by-step explanation:
Given the following:
Championship wins shared by 3 basketball teams :
Rockefeller HS = 12
Clayton West = 20
Clayton South = 7
Percentage of total wins each team has :
Total number of wins = (12 + 20 + 7) = 39 wins
Percentage wins :
[(Number of wins per team) / total number of wins)] × 100
Rockefeller HS:
(12 / 39) * 100 = 30.769% = 31%
Clayton West :
(20/39) * 100 = 51.28% = 51%
Clayton South:
(7/39) * 100 = 17.948% = 18%
Three-fourths of the water leaked out of a full aquarium tank. and 15 gallons of
water was left. After the leak was fixed, 10 gallons of water was added to the
aquarium tank.
4) How many gallons of water can the aquarium tank hold when it is full?
5) How full was the aquarium tank after the 10 gallons of water was added?
6) How much more water would have to be added to fill the aquarium tank?
Answer: 4) 60 gallons 5) 25 gallons 6) 35 gallons
Step-by-step explanation:
If three-fourths of the water in the tank leaked out of the full aquarium tank then one-fourths will be left.
so if the leftover was 15 gallons then 1/4 of a number has to equal 15 gallons.
We could represent that by the equation.
1/4 * x = 15
0.25x = 15
x= 60
4) which means the aquarium tank can hold 60 gallons of water when it is full.
5) If 15 gallons of water was left after the leaking and then they added 10 more gallons of water then 15 + 10 = 25 which means the aquarium was 25 gallon full.
6) If they are 25 gallons in the water now and we need to add some amount of water to get to 60 gallons of water then we will subtract 25 from 60 find how much water needs to be added.
So 60 -25 = 35 which means 35 gallons needs to be added.
The admission fee at a carnival fair is $4.50 for children
and $8.00 for adults. One day, 2200 people attended the fair
and $5050 was collected. How many children and how many
adults attended?
Lets say:
c= number of children
a= number of adults
Answer:
Adult=1,385.71
Children=814.29
Approximately
Adult=1386
Children=814
Step-by-step explanation:
c= number of children
a= number of adults
Admission fee for children=$4.50
Admission fee for adults=$8.00
Total attendees=2200
Total amount realized=$5050
We need two equations to solve the two unknowns
c + a=2200 (1)
4.50c + 8.00a=5,050 (2)
From (1)
c + a=2200
c=2200 - a
Substitute c=2200 - a into (2)
4.50c + 8.00a=5,050
4.50(2200 - a) + 8.00a=5050
9900 - 4.50a +8.00a=5050
Collect like terms
9900-5050= -4.50a+8.00a
4,850=3.5a
Divide both sides by 3.5
1,385.71=a
Substitute a=1,385,71 into (1)
c + a=2200
c+1385.71=2200
c=2200-1385.71
=814.29
c=814.29
kinda stuck and would like help
Which table represents a linear function? A, B, C, D
Answer:
Table B represents a linear function.
Step-by-step explanation:
Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.
Use the drawing tool(s) to form the correct answer on the provided number line.
Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took
out 16 plastic cups for his teammates and put the same amount of water in each cup.
Answer:
Kindly see explanation
Step-by-step explanation:
Given the following :
Amount of water in cooler = 144 ounces
Size of Will's water bottle = 16 ounces
Therefore, the amount of water left after filling his water bottle :
144 ounces - 16 ounces = 128 ounces of water.
The 128 ounces left was used to equally fill 16 plastic cups :
Therefore the number of ounces of water put in each cup equals :
(128 ounces ÷ 16 cups) = 8 ounces.
The maximum number of ounces of water will could have put in each cup is 8 ounces
Thus (0 < x ≤ 8)
See graph below
In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. (made a second one since trollers ruined my last one :/ )
Answer:
approximately 5.36
Step-by-step explanation
20 - 9.28 = 10.72
BD = EC
10.72/2 = 5.36
Find the probability of rolling a die and
getting a 6. Write your answer as a
fraction.
Answer:
1/6
Step-by-step explanation:
there are 6 sides/numbers on a die. 1 roll with a possibility of 6 outcomes.
Answer:
[tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Because there are six possibilities and only one of those possibilities will yield a six, we can find the probability to be [tex]\frac{1}{6}[/tex]
If a= 3 and b= 5, find b/a=
2/5
3/5
05/3
Answer:
05/3
Step-by-step explanation:
5/3 = 1.66
Answer:
5/3
Step-by-step explanation:
a= 3 and b= 5
b/a
5/3
-10y^2 - 3y - (5y - 8y^2) combined like terms
Answer:
-2y(y + 4)
Step-by-step explanation:
-10y^2 - 3y - (5y - 8y^2)
= -10y^2 - 3y - 5y + 8y^2
= -2y^2 - 8y
= -2y(y + 4)
360 is 6/10 of what number
Identify the function:
1 5
2 20
3 80
4 320
Quadratic function
Can't determine
Linear function
Exponential function
Answer:
Linear function
Step-by-step explanation:
5 x 4 = 20
20 x 4 = 80
80 x 4 = 320
PLEASE HELP A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.
Answer:
Part A : see composition process below
Part B : [tex]Domain=\{x\,|\,x\neq 0\}[/tex]
Step-by-step explanation:
Part A
Let's use the composition of functions to find if they give the identity : [tex]f(g(x))=x[/tex] thus proving they are the inverses of each other:
[tex]f(g(x))=f(\frac{5x+1}{x} )=\frac{1}{\frac{5x+1}{x}-5} =\frac{1}{\frac{5x+1-5x}{x}} =\frac{1}{\frac{1}{x} } =x[/tex]
So we have proved they are the inverses of each other.
Part B
Given that the composition is:
[tex]f(g(x))=\frac{1}{\frac{1}{x} }[/tex]
the Domain must exclude x=0, for which this quotient is undefined.
The Domain is then:
[tex]Domain=\{x\,|\,x\neq 0\}[/tex]
What is the slope of the line through (2,-2) and (9, 3)
Answer:it is 5/7
Step-by-step explanation: the formula for slope is rise/run divide and you get 5/7
Answer:
slope = [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 2) and (x₂, y₂ ) = (9, 3)
m = [tex]\frac{3+2}{9-2}[/tex] = [tex]\frac{5}{7}[/tex]
What is g(h(10))? (images)
Answer:
2 sqrt(2)
Step-by-step explanation:
h(x) = 2x-8
g(x) = sqrt( x-4)
g(h(10))
First find h(10)
h(10) = 2*10 -8 = 20-8 =12
Then find g(h(10) = g(12) = sqrt( 12-4)
= sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)
Answer:
a
Step-by-step explanation:
edge 2021
George is designing ledges for the octagonal ( 8 side ) gazebo. All sides are equal length, and each ledge much be 18 inches shorter then the sides.
a: what is the minimum length of wood he should purchase if the perimeter of the gazebo is 64 feet ?
b : what as your solution process
Answer:
78 inches or 174 inches (see explanation)
Step-by-step explanation:
If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!
Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
Below
Step-by-step explanation:
Imagine our window has 4 panes (picture below)
Let T be the total number of panes:
There are 12 windows at total.
●T = 4×12
Notice that:
● 4 = 2×2
● 12 = 4×3 = 2×2×3
● T = 2×2×2×2×3 = 2^4×3
The polynomial function f (x) = 5 x Superscript 5 Baseline + sixteen-fifths x minus 3 is graphed below. On a coordinate plane, point P is shown on the graph of a function. Point P is at (0.6, 0). Which is a potential rational root of f(x) at point P?
Answer:
3/5
Step-by-step explanation:
What divisor is represented by the synthetic division below? x + 5. One factor of x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5 3.
The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
What is the rational root theorem?The rational root theorem is used to determine the possible rational roots of a polynomial function
The equation of the function is given as:
[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]
Considering a polynomial function, f(x).
Such that:
[tex]f(x) = px^n + .......... +q[/tex]
The possible rational roots are:
[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
So, we have:
[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]
List the factors of 3 and 5
[tex]Roots =\pm \frac{1,3}{1,5}[/tex]
Split
[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]
Simplify
[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Hence, the potential rational roots are:
[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Read more about potential rational roots at:
https://brainly.com/question/7594092
Find the distance between (-5,-6) and (-3,-8 WILL GIVEBRANLIEST TO FIRST PERSON WHO AWNSES WITH EXPLANATION
Answer:
d = √8
d ≈ 2.82843
Step-by-step explanation:
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in our coordinates into the distance formula:
[tex]d = \sqrt{(-3 + 5)^2+(-8 + 6)^2}[/tex]
[tex]d = \sqrt{(2)^2+(-2)^2}[/tex]
[tex]d = \sqrt{4+4}[/tex]
[tex]d = \sqrt{8}[/tex]
To find the decimal, simply evaluate the square root:
√8 = 2.82843
Answer:
[tex] \boxed{2 \sqrt{2} \: \: units}[/tex]Step-by-step explanation:
Let the points be A and B
A ( - 5 , - 6 ) ⇒ ( x₁ , y₁ )
B ( -3 , - 8 )⇒( x₂ , y₂ )
Now, let's find the distance between these two points:
AB = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
Plug the values
⇒[tex] \mathsf{ \sqrt{( - 3 - ( - 5) )^{2} + {( - 8 - ( - 6))}^{2} } }[/tex]
When there is a ( - ) in front of an expression in parentheses, change the sign of each term in the expression
⇒[tex] \mathsf{ \sqrt{ {( - 3 + 5)}^{2} + {( - 8 + 6)}^{2} } }[/tex]
Calculate
⇒[tex] \mathsf{ \sqrt{ {(2)}^{2} + {( - 2)}^{2} } }[/tex]
Evaluate the power
⇒[tex] \mathsf{ \sqrt{4 + 4} }[/tex]
Add the numbers
⇒[tex] \mathsf{\sqrt{8} }[/tex]
Simplify the radical expression
⇒[tex] \mathsf{ \sqrt{2 \times 2 \times 2}} [/tex]
⇒[tex] \mathsf{2 \sqrt{2} }[/tex] units
Hope I helped!
Best regards!
A 40 pound bag of topsoil will
cover a surface area of 12 square
feet.
a. How many pounds of topsoil are
needed to cover a surface area of
480 square feet?
b. How many bags of topsoil must
be purchased to cover a surface
area of 480 square feet?
For number of bags, divide total area by the area 1 bag can cover.
480 / 12 = 40 total bags.
Now for total weight, multiple total bags by weight per bag:
40 bags x 40 pounds = 1,600 total pounds.
A = 40 bags
B = 1,600 pounds
Find the lateral area of this cone
Work Shown:
r = 3 is the radius
h = 3 is the height
LA = lateral area of the cone
LA = pi*r*sqrt(r^2 + h^2)
LA = pi*3*sqrt(3^2+3^2)
LA = pi*3*sqrt(18)
LA = pi*3*3*sqrt(2)
LA = 9*sqrt(2)*pi .... exact area in terms of pi
LA = 39.9859464434252 ... approximate area
LA = 40.0 ......... rounding to nearest tenth
I used my calculator's stored version of pi to get the approximate answer.
Note how the slant height L = sqrt(r^2+h^2) which can be shown through the pythagorean theorem.
John ran 1 2 mile in 5 minutes, and Al ran 1 3 mile in 4 minutes. Which runner ran at a faster rate?
Answer:
John ran at a faster rate
Step-by-step explanation:
If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.
1/3 : 4 = 3/3 : 12 Al
1/2 : 5 = 2/2 : 10 John
From both of the rations John ran faster
Plz Help I’ll give brainliest
Answer:
d
Step-by-step explanation:
The inscribed angle ABC is half the measure of its intercepted arc, thus
arc AX = 2 × 64° = 128°
The secant- tangent angle ACB is half the difference of the measures of its intercepted arcs, thus
∠ ACB = [tex]\frac{1}{2}[/tex] ( 152 - 128)° = 0,5 × 24° = 12° → d
NEED IT ASAP
Tony is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 10% sales tax plus a state-mandated $45 fee for disposing of his old tires. If Tony has determined that he will spend less than $559.80 total, then what is the price range he can spend on the tire set?
Sry couldn't find the answer
ASAP At a store you have the option to buy a 12 pack of pop for $5 or a 8 pack for $3. Which is the better deal? 12 pack 8 pack. And can u pls explain how u got the answer
Answer:
The 8 pack is the better deal.
Step-by-step explanation:
To get the answer you do the following:
Find the price of one pack for each;
1/12*5= $0.42( cost of one pack for the 12 pack part)
1/8*3= $0.38( cost of one pack for the 8 pack part)
The answer is that the 8 pack is cheaper .
What is the purpose of central ideas in a text?(1 point) to give additional information about the topic to define the topic to provide an overview of the ideas in the text to explain the most important ideas in the text
Answer:
[tex]\boxed{to\ explain\ the\ most\ important\ ideas\ in\ the\ text}[/tex]
Step-by-step explanation:
The purpose of the central idea is to explain the central/most important ideas in the theme. Central idea provides the explanation of the most important i.e. central ideas of the text. So, the central idea provides the explanation of central ideas of the text as the name indicates.
Answer:
to explain the most important ideas in the text
Step-by-step explanation:
the person above me is corrwct
PLEASE HELP ME WITH THIS QUESTION FOR MATH!!!!!!!!!!!!!!!!!
Answer:
MON = 130°
Step-by-step explanation:
LOM + MON = 180°
In other words
4z + 30° + 8z + 90 = 180°
12z + 120 = 180
60 = 12z
z = 5
5 x 8 = 40 + 90 = 130°
Answer:
∠MON = 130º
Step-by-step explanation:
∠LON = ∠LOM + ∠MON
∠LON = 180º
180 = (4x + 30) + (8x+ 90)
combine like terms
180 = 12 x + 120
60 = 12x
x = 5
plug x into equations.
∠MON = 8(5) + 90
∠MON = 40 + 90
∠MON = 130º
check work:
∠LOM = 4(5) + 30
∠LOM = 20 + 30
∠LOM = 50
∠LON = ∠LOM + ∠MON
180 = 50 + 130
Help! Complete the number pattern so that the numbrr in the blue is larger. Circle the sum of the two nunbers in the adjacent grey smaller circle. Indicate weather the solution is unique.
Answer:
Step-by-step explanation:
how do i circle? i know answer but how to tell you?
TheOriginal tragedy of the commons concern grazing cows and sheep’s and 14 century England, space choose the theme in about the tragedy of the commons that is correct
Answer:
The tragedy of the commons in fourteenth-century England was overcome by the common lands being enclosed and privatized.
Step-by-step explanation:
The Commons tragedy refers to a popular economic narrative that explains why common assets appear to be overused from a social point of view. The story-line is focused on the premise that each person tries to get as much profit as possible from the available resource. As per the question, the land available for grazing was limited and solution can be opted through enforcing regulations, auctioning out a limited number of licenses, or transforming the common good into a private good.
