Answer:
[tex]Range = \{5,1,2,23,-5\}[/tex]
[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]
Step-by-step explanation:
Given
[tex](6,5)\ (-13, 1)\ (-4,2)\ (-5, 23)\ (-10, -5)[/tex]
Required
Determine the domain and range
A relation has the following format:
[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),(x_4,y_4)........(x_n,y_n)\}[/tex]
The range of the relation are:
[tex]\{y_1,y_2,y_3,y_4........y_n\}[/tex]
While the domain are:
[tex]\{x_1,x_2,x_3,x_4........x_n\}[/tex]
Using this analysis, the domain of the relation is:
[tex]Domain = \{6,-13,-4,-5,-10\}[/tex]
and the Range is
[tex]Range = \{5,1,2,23,-5\}[/tex]
the amount of sod needed to cover the circular green on a golf course?
Answer:
you would need just over 261 pounds of seed for 1 acre.
Step-by-step explanation: For example, if the recommended seeding rate for a specific blend of grasses is 6 pounds per 1,000 square feet, multiply 6 by 43.56 to get 261.36. Thus you would need just over 261 pounds of seed for 1 acre.
please help solve this.
how many minutes is 40% of 120 minutes?
Answer:
48 mins
Step-by-step explanation:
40 x 120 /100
= 48
Find the greatest common factor of the terms in the following expression 18x+12xy
=============================================
Explanation:
Ignoring the variables for now, the GCF of 18 and 12 is 6. This is the largest factor found in both values
18 = 6*312 = 6*2Now let's consider the variables. Both terms have an 'x' in them, but not a y. This means x will be tacked on the 6 we found earlier to get the overall GCF to be 6x.
Note how
18x + 12xy = 6x*3+6x*2y = 6x(3+2y)
Showing we can factor out the GCF using the distributive property.
write a polynomial equation for each set of roots 5 and 7
Answer:
x²-2x-35
Step-by-step explanation:
(x-7)(x+5)
x²+5x-7x-35
x²-2x-35
What happens when a barrel goes over the waterfall?
a. The barrel speed stays the same
b. The barrel slows down.
c. The barrel speeds up.
d. The barrel stops
PLEASE SEND HELP!! I NEED THE ANSWER.......QUICK!!! WILL GIVE THE BRAINLEST!
A house has increased in value by 36 percent since it was purchased. If the current value is 306000 what was the value when it was purchased?
Answer:
$225,000
Step-by-step explanation:
Step-by-step explanation:
To calculate the percentage change we will apply the formula:
p= N-O/O *100
p is the increased percentage
N is the current value
O is the old value.
Substitute the values in the formula:
36 = 306,000 - O/O *100
Divide both the sides by 100
36/100 = 306,000 - O/O *100/100
36/100 = 306,000 - O/O
Now multiply O at both sides
36/100 * O = 306,000-O/O * O
At R.H.S O will be cancelled by O
At L.H.S 36/ 100 = 0.36
0.36 O= 306,000-O
Combine the like terms:
0.36 O+O =306,000
1.36 O = 306,000
Divide both the terms by 1.36
1.36 O/ 1.36 = 306,000/1.36
O= $225,000
Therefore when the house was purchased its value was $225,000....
Please help!! I just need help with question 40!!
Answer:
a. 70%
b. 6 more times
c. subtract from 100% with percentages, subtract from 1 with decimals.
Step-by-step explanation:
a. To find the percentage of red and yellow, skip back the decimal point two times: 0.26 > 26% 0.04 > 4%
Add all of the percentages together to get 70%
b. To find how many times more students said red than yellow, divide yellow from red. It shows you how many times yellow can go into red, giving you the correct answer.
0.26 ÷ 0.04
26 ÷ 4
6
c. 14% + 26% + 40% + 4% = 84%
100% - 84%
16%
(do the same thing with decimals and pick your favorite method)
:)
I need help pls Simplify 6y+9+3y-7
Answer:
9y+2
Step-by-step explanation:
PLEASE HELP! IMAGE ATTACHED
The sum of the tens digit and the hundreds digit of a number is three times the units digit. 1/5 of the sum of all three digits is 1 less than the units digit. Find all three-digit numbers that satisfy these conditions.
Answer: The numbers are:
965
875
785
695
Step-by-step explanation:
We have a 3 digit number that can be written as:
a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds
b is the tens
c is the unit.
We know that:
"The sum of the tens digit and the hundreds digit of a number is three times the units digit."
a + b = 3*c
" 1/5 of the sum of all three digits is 1 less than the units digit."
(a + b + c)/5 = c - 1
Then we have the two conditions:
a + b = 3*c
(a + b + c)/5 = c - 1
From the first one, we can write:
(a + b)/3 = c
Replacing that in the other equation we get:
(a + b + a/3 + b/3)/5 = a/3 + b/3 - 1
(4/3)*(a + b)/5 = (a/3 + b/3) - 1
(4/15)*(a + b) = (a + b)/3 - 1
(4/15)*(a + b) - (a + b)/3 = - 1
-(1/15)*(a + b) = -1
a = 15 - b
Then we can give different values for b, and find the values of a and c, where a and c must be positive.
b = 9
a = 15 - 9 = 6
Then:
c = (9 + 6)/3 = 5
(notice that a + b = 15, then c will be always equal to 5, reggardless of the values of b and a).
This number will be:
695.
if b = 8, then:
a = 15 - 8 = 7
and c = 5, same as before.
the number is 785.
If b = 7, then:
a = 15 - 7 = 8
The number is 875
if b = 6, then:
a = 15 - 6 = 9
The number is:
965
A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?
Answer:
8 thats how many pies and cakes you can do
Step-by-step explanation:
you have 20 minutes and 10 and the most cakes you can get with left over is 8
The pies and cakes should be made to maximize profits is 8 pies.
What is profit?Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.
Revenue minus costs equals profit.
Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.
The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.
Thus, the pies and cakes should be made to maximize profits is 8 pies.
To learn more about profit, refer to the link below:
https://brainly.com/question/15036999
#SPJ2
Please answer a and b, I will give brainliest!!!!!
Answer:
b
Step-by-step explanation:
because it passes the vertical line test and A does not if you look at x = 1 there are 2 points along that point (1,3) (1,-1)
PLEASE HELP FAST! I will give brainlist!
Answer:
D or A
Step-by-step explanation:
Answer:
960
Step-by-step explanation:
TRUST ME, mark me brainliest please
Geometry homework. Please help.
Answer: Sure
Step-by-step explanation:
Step-by-step explanation:
✬ Radius = 2.5 cm ✬
Step-by-step explanation:
Given:
Radius of spherical ball is 3 cm.
Radii of new spherical balls are 1.5 cm and 2 cm.
To Find:
Radius of third spherical ball ?
Solution : Let the radius of third spherical ball be x cm.
If something is melted and recasted into another thing then their volumes will be equal. In short
Volume of 1st thing = Volume of second one.
➯ Let's see here
Volume of big spherical ball will be equal to the sum of volumes of that three small spherical balls.
As we know that
★ Volume of Sphere = 4/3πr³ ★
[ Taking big spherical ball ]
Radius = 3 cm
⟹ Volume = 4/3 × π × (3)³
⟹ 4π/3 × 27
Volume we got = 4π/3 × 27 cm³
[ Taking 3 small spherical balls ]
Radius of first ball (r¹) = 1.5 cm
For second (R) = 2 cm
For third (x) = x cm
Volume = 4/3 × π( sum cubes of radii)
⟹ Volume = 4/3 × π(1.5³ + 2³ + r³)
⟹ 4π/3 (3.375 + 8 + x³)
⟹ 4π/3 ( 11.375 + x³)
Volume we got = 4π/3 (11.375 + x³) cm³
A/q
First volume = Second volume
➮ 4π/3 × 27 = 4π/3 (11.375 + x³)
➮ 27 = 11.375 + x³
➮ 27 – 11.375 = x³
➮ 15.625 = x³
➮ 15625/1000 = x³
➮ 3125/200 = 625/40 = 125/8 = x³
➮ ³√125/8 = x³
➮ 5/2 = x²
➮ 2.5 cm = x
Hence, the measure of radius of third spherical ball is 2.5 cm.
Wayne painted 1/8 of the walls in his bedroom on Monday. He painted 1/2 of the walls of his bedroom on Tuesday and 1/4 of the walls on Wednesday. What fraction of the bedroom still remains to be painted?
Answer:
1/8
Step-by-step explanation:
1/8 + 1/2 + 1/4 = 1/8 + 4/8 + 2/8 = 7/8
so 1/8 remains
A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?
Answer:
The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
Step-by-step explanation:
Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:
70 x 1 + 25 x 0 = 70
70 x 0.9 + 25 x 0.1 = 65.5
70 x 0.8 + 25 x 0.2 = 61
70 x 0.7 + 25 x 0.3 = 56.5
Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.
70 x 0.75 + 25 x 0.25 = 58.75
70 x 0.76 + 25 x 0.24 = 59.2
70 x 0.77 + 25 x 0.23 = 59.65
70 x 0.78 + 25 x 0.22 = 60.1
Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.
70 x 0.778 + 25 x 0.222 = 60.01
Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.
solve the equation 4p + 2 =22,using a double number line
Answer:
the answer is 5
Step-by-step explanation:
Evaluate the following expression. y + 9 when y = 12
Answer:
21
Step-by-step explanation:
y+9 = ?
y=12
12+9=21
Answer:
3
Step-by-step explanation:
i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))
Im sure it's -3 Because well thats what i got
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
What is the interval used in the frequency chart shown below?
A.4
took the test
╰(*°▽°*)╯(☞ﾟヮﾟ)☞
Answer:
the answer is a i got a hundred on that tes a year ago
Step-by-step explanation:
QUESTION 2
Solve the equation for exact solutions.
arccos x + arccos 2x = arccos
1/2
help asap plspls!! :)
Answer:
1/6
Step-by-step explanation:
1/3 ÷ 2 = 1/6
All you do is multiply the denominator by 2. This sounds incorrect, but my making the denominator lager it actually is shrinking the fraction and ultimately making it smaller than before.
Answer:
1/3÷2=1/6
Result in decimals: 0.16666666666667
What is the BEST ANSWER for the slope of the line that passes through the points:
(12, 2) and (1, 23)
Answer: -2
Step-by-step explanation:
If x2 = 10, what is the value of x?
Answer:
The value of x is 5
Step-by-step explanation:
5 x 2 = 10
x= ±[tex]\sqrt{10} =[/tex] ± 3.1623
simplifyied~x = 5
1.73 to 1.52 write fraction in simplest form
Answer:
I think that the answer that 1.13815789. I hope that this helps:)
Step-by-step explanation:
What is the slope and the y-intercept of the line on the graph below?
b=
m=
Write an equation for this line in slope-
intercept form (y=mx+b).
Answer:
b=1
m=1/4
y=1/4x+1
Step-by-step explanation:
m is the slope, b is the y-intercept
Solve the inequality
Answer:
x<2
Step-by-step explanation:
5x+10>14x-8
18>9x
2>x
Does anyone know the answer to this question
