Answer:
Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {},
For example, A = {1,2,3,4} is a set.
Determine the equation of the exponential function with a common ratio of 2, a horizontal asymptote at y=4, and passing through the point (2,10).
Answer:
[tex]\bold{y=1.5\times 2^x+4}[/tex]
Step-by-step explanation:
Given:
Exponential function with common ratio 2.
Horizontal asymptote at y = 4
Passes through point (2, 10)
To find:
Equation of the exponential function ?
Solution:
Equation for an exponential function may be given as:
[tex]y=ab^x+c[/tex]
Where b is the common ratio and
c is the y value of horizontal asymptote.
[tex](x, y)[/tex] are the points on the function.
We are given that:
b = 2
c = 4
Let us put all the given values and find equation.
[tex]y=a\times 2^x+4[/tex]
Now, let us put [tex]x = 2, y = 10[/tex] to find the value of a.
[tex]10=a\times 2^2+4\\\Rightarrow a\times 2^2=10-4\\\Rightarrow a\times 4=6\\\Rightarrow a =1.5[/tex]
[tex]\therefore[/tex] the equation of exponential function is:
[tex]\bold{y=1.5\times 2^x+4}[/tex]
Help!!!!!!!!!!!!!!!!!
Answer:
x>-9
Step-by-step explanation:
-2(-9+2)=14
-2(-8+2)<14
-8>-9
x>-9
Answer:
x < -9
Step-by-step explanation:
-2(x+2) < 14
-2*x +2*-2 < 14
-2x - 4 < 14
-2x < 14 + 4
-2x < 18
x < 18/-2
x < -9
the number of significant digits for 5,000.06 is
Answer:
This has 6 significant digits
Step-by-step explanation:
5,000.06
This has 6 significant digits
We count from the first nonzero digit to the last nonzero digit
Answer
the answer is 6
Step-by-step explanation:
Herbert has sold 90, 45, 103 and 68 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 77 sales per month
Answer:
The sale this month = 79
Step-by-step explanation:
Let the amount he needs to sell this month = x
[tex]Average = \frac{sum\ of\ individual\ data\ }{number\ of\ entries}[/tex]
[tex]Average= \frac{90\ +\ 45\ +\ 103\ +\ 68\ +\ x}{5}[/tex]
Note that number of entries = number of months = 5
To maintain an average sales of 77, the amount of sale in month 5 is determined as follows:
[tex]77 = \frac{306\ +\ x}{5} \\cross-multiplying\\77\ \times\ 5\ = 306\ +\ x\\385 = 306\ +\ x\\x =385\ -\ 306\\x = 79[/tex]
sam ran 63,756 in 70 minutes what was his rate in miles per hour
Answer:Sam's speed is about 10.3 mi/h.
Step-by-step explanation:Explanation:
Use dimensional analysis.
Determine the equality between miles and feet, and hours and minutes.
1 mi=5280 ft
1 h=60 m
Each equality can make two conversion factors, which are equal to one.
1 mi
5280 ft
=
1
=
5280 ft
1mi
1 h
60 min
=
1
=
60 min
1 h
Multiply the given value by the conversion factor that has the desired unit in the numerator. This will leave you with the desired unit, and the undesired unit in the denominator will cancel.
Convert feet to miles.
63756
ft
×
1
mi
5280
ft
=
12.075 mi
Convert minutes to hours.
70
min
×
1
h
60
min
=
1.167 hour
Divide miles by hours.
12.075
mi
1.167
h
=
10.3 mi/h
Dales house renovations went over budget by 18% and his original budget was 156,000 how much did he actually spend on his budgets?
Answer: $184,080
Step-by-step explanation:
First multiply 18% by the original budget to find how much the 18% of the budget was .
18% * 156,000 = 28080
Now add add 28080 to the original budget to find out how much she actually spent.
156,000 + 20,080 = 184,080
A rettangle is 10 inches smaller than it is wide. The perimeter of the
rectangle is 80 inches. Find the length and width of the rectangle.
a. Width = 25 Length = 15
b. Width = 30 Length = 20
c. Width = 25 Length = 35
d. Width = 20 Length = 30
e.Width = 15 Length = 25
f. Width = 35 Length = 25
Answer:
A. Width = 25 Length = 15
Step-by-step explanation:
Length = L = Width - 10
Width = W
Perimeter of a rectangle
=> 2 (L + B) = 80
=> 2 (W - 10 + W) = 80
=> 2 (2W - 10) = 80
=> 4W -20 = 80
=> 4W -20 + 20 = 80 + 20
=> 4W = 100
=> 4W/4 = 100/4
=> W = 25
Width = 25
Length = 25 - 10 = 15
So, the answer is A.
A square window has a perimeter of 184 inches. How long is each side of the window?
Answer: 46 inches
Step-by-step explanation: 184/4= 46
Tony rounded each of the numbers 154 and 145 to the nearest hundred. Which choice correctly compares the rounded numbers!
150 = 150
200 > 100
0154 > 145
200 = 200
Answer:
200 > 100
Step-by-step explanation:
154 rounded to the nearest hundred is 200 because 154 is closer to 200 than to 100. and 145 is closer to 100 than it is to 200 so we have 200 and 100 and we know that 200 is greater than 100 so we can conclude with 200 > 100
What is the image point of (-6, 9) after a translation left 4 uints and down 1 unit?
Answer:
(-10,8)
Step-by-step explanation:
So our original point is (-6,9).
A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.
A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.
Therefore, the new point would be:
[tex](-6-4,9-1)\\=(-10,8)[/tex]
Answer:
(-10,8)
Step-by-step explanation:
I hope this helps
10[6(n+1)+5(n-1)]=13[7(5+n)-(25-3n)]
Answer:
n = -6
Step-by-step explanation:
10[6(n+1)+5(n-1)]=13[7(5+n)-(25-3)]
You will collect like terms
10(6n+6+5n-5)=13(35+7n-25+3)
it will give you this
10(11n+1)=13(10+10n)
Then you remove the parenthesis
110n+10 = 130 +130n
Move the terms
110n -130n = 130-10
collect like terms
-20n=120
divide both sides
n=-6
Nghia bought a $650 personal
computer. She received a 10%
discount. What was the amount of
discount?
Answer:
65
Step-by-step explanation:
650x0.1=65
the answer is 65 dollars uwu
Answer:
$65
Step-by-step explanation:
10% of 650 is 65 because you multiply .1 and 650, or move the decimal one place to the left. because the question asks for the discount price, you would just find the discount.
Mr Powell and Ms. Krawczyk live 24 miles apart. They agree
to meet at their favorite restaurant, which is (8x 2) miles from Mr Powell!
house, and (5x+10) miles from Me Krawczyks. Assuming a straught
line distance, the restaurant halfway between their houses?
Jurnity your answer.
Answer:
Step-by-step explanation:
If Mr Powell and Ms. Krawczyk live 24 miles apart, then the distance between their houses is 24 miles.
Let A be the Mr powell house, B be Ms. Krawczyk house and C be the restaurant. If the restaurant is halfway their houses and the distance between their houses is a straight line distance, then AC = CB where AC is the distance between Mr Poweel house and the restaurant and CB is the distance between Ms. Krawczyk house and the restaurant.
Given AB = (8x-2) miles and CB = (5x+10) miles
8x-2 = 5x+10
Collect like terms;
8x-5x = 10+2
3x = 12
x = 4
Substituting x = 4 into AB and CB
AB = 8(4)-2
AB = 32-2
AB = 30 miles
BC = 5(4)+ 10
BC = 20+10
BC = 30 miles
10 points!!
Write the equation of a line perpendicular to the line 3x+7y=21 with a y-intercept of (0,2)
What is the value of y in the equation 5x + 2y = 20, when x = 0.3?
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------------
5(0.3) + 2y = 20
Answer: Y = 9.25.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~| 5(0.3) + 2y = 20
| Multiply 5 and 0.3 to get 1.5
\/
1.5 + 2y = 20
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We subtract 1.5 from both sides.
2y = 20 - 1.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Subtract 1.5 from 20 to get 18.5.
2y = 18.5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Divide both sides by 2.
[tex]y = \frac{18.5}{2}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Expand [tex]\frac{18.5}{2}[/tex] = 9.25 by multiplying both numerator and the denominator by 10.
[tex]y =\frac{185}{20}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Reduce the fraction [tex]\frac{185}{20} = 9.25[/tex] to lowest terms by extracting and canceling out 5.
[tex]y =\frac{37}{4}[/tex].
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\frac{37}{4} = 9.25[/tex] in decimal form.
Linear equations d-7=8
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{d = 15}}}}[/tex]
Step-by-step explanation:
[tex] \sf{d - 7 = 8}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \sf{d = 8 + 7}[/tex]
Add the numbers
⇒[tex] \sf{d = 15}[/tex]
Let's check:
When d = 15 , R.H.S = 15 - 7 = 8
And L.H.S = 8
Thus , R.H.S = L.H.S when d = 15.
Therefore d = 15 is the solution of the equation.
Hope I helped!
Best regards!
For the given equation, identify the initial quantity.
10x=132
0
132
x
10
Answer:
13.2
Step-by-step explanation:
Given
[tex]10x = 132[/tex]
Required
Determine the initial quantity
The interpretation of this question is to solve for the value of x
To start with:
[tex]10x = 132[/tex]
Divide both sides by 10
[tex]\frac{10x}{10} = \frac{132}{10}[/tex]
[tex]x = \frac{132}{10}[/tex]
[tex]x = 13.2[/tex]
Hence, the initial quantity is 13.2
Answer:
1.D
2.B
3.A
4.C
5.D
Step-by-step explanation:
For each problem, find the missing value using the Pythagorean Theorem
Answer:
Step-by-step explanation:
A^2 + b^2 = c^, 8^2 + x^2 =17^2 , 64 + x^2 = 289, 64- 64 + x^2 = 289-64, x^2 = 225, square root x and 225, Leg1 = 15
The sum of twice a number and another number is 24. The difference of twice the first number and the
other number is 12. Which system would model this situation, and what is the solution?
A 2(x + y) = 24
2(x - y) = 12
Solution: (96)
B. 2x + y = 24
2x - y = 12
Solution: (96)
C. 2(x + y) = 24
2x - y = 12
Solution: (6,9)
D. 2x + y = 24
2(x - y) = 12
Solution: (6,9)
Please hurry !
Answer:
B
Step-by-step explanation:
Let first number = x
Second number = y
Twice a number = 2*x = 2x
The sum of twice a number and another number is 24
2x + y = 24 -----------------------(I)
The difference of twice the first number and the other number is 12.
2x - y = 12 ----------------------(II)
Add equation (I) & (II) and y will be eliminated and we can find the number 'x'
(I) 2x + y = 24
(II) 2x - y = 12 {Now add the two equations}
4x = 36
Divide both sides by 4
4x/4 = 36/4
x = 9
Plug in the value of 'x' in equation (I)
2*9 + y = 24
18 + y = 24
Subtract 18 from both sides
18 + y - 18 = 24 - 18
y = 6
The numbers are 9, 6
What number should be placed in the box to help complete the division calculation?
Answer:12
Step-by-step explanation:
Anybody wanna help me out...... PLEASE
Use the figure below to answer the following question. Which of the following angles is NOT supplementary and adjacent to 1) 2) 3)All answers are supplementary and adjacent to 4)
Answer:
<NKJ
Step-by-step explanation:
solve 3(2x-5)=27 I need full workings out please x
Step-by-step explanation:
Hey, there!!
Here,
3(2x-5)=25 is given.
To slolve: x
Now,
Multiply (2x-5) by 3.
6x-15 = 27.
Shift (-15) on right side.
6x= 27+15
or, 6x= 42
Divide 42 by 6.
[tex]x = \frac{42}{6} [/tex]
Therefore, x= 7.
Hope it helps....
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed{x = 7}[/tex]
Let's solve your equation step-by-step.
[tex]3(2x-5)=27[/tex]
Step 1: Simplify both sides of the equation.
[tex]3(2x-5)=27[/tex]
[tex](3) (2x) + (3) (-5) = 27[/tex] (Distribute)
[tex]6x + -15 = 27[/tex]
[tex]6x - 15 = 27[/tex]
Step 2: Add 15 to both sides.
[tex]6x -15 + 15 = 27 + 15[/tex]
[tex]6x = 42[/tex]
Step 3: Divide both sides by 6.
[tex]\frac{6x}{6} = \frac{42}{6}[/tex]
[tex]x = 7[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Write an expression to find area of the shaded region in the given figure...
Answer:
[tex]\huge \boxed{{10x^2 + 12x \mathrm{\ units^2 }} }[/tex]
Step-by-step explanation:
area of shaded region = area of whole rectangle - area of unshaded region
Area of a rectangle is length × width.
A = 5x(3x+2) - (x(5x-2))
Expand brackets.
A = 15x² + 10x -(5x² - 2x)
Distribute negative sign.
A = 15x² + 10x - 5x² + 2x
Combine like terms.
A = 10x² + 12x
Which of the binomials below is a factor of this trinomial?
X^2- 10x + 24
O A. X+4
O B. x-3
O c. x+3
O D. x.-4
Hi there! :)
Answer:
[tex]\huge\boxed{D, x -4}[/tex]
---- Starting with: ----
x² - 10x + 24
Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.
By guessing and checking, we get the numbers -6 and -4. Put these into factors:
(x - 6)(x - 4)
Therefore, a binomial present in factored form is D. x - 4
(2 + 5i)(4 + 3i) Multiply the following complex numbers and write your answer in the simplest a+bi form.
Answer:
-7+26i
Step-by-step explanation:
Use FOIL
2•4+2(3i)+5i•4+5i(3i)
Simplify by combining like terms for your answer
8+6i+20i-15
-7+26i
what is the answer to (2-7)(5-3)+3² ?
Answer: -1
Step-by-step explanation:
(2-7) (5-3)+ 3^2
(-5) (2)+9 Multiply -5 and 2
-10+9 Add -10 to 9
-1
If f(y) = 5y - 3, determine the value of y' when: f(y) = 6.
Answer:
y = 9/5
4th Option
Step-by-step explanation:
Step 1: Write out function f(y)
f(y) = 5y - 3
Step 2: Define variable from problem
f(y) = 6
Step 3: Replace variable
6 = 5y - 3
Step 4: Add 3 to both sides
9 = 5y
Step 5: Isolate y by dividing both sides by 5
y = 9/5
I the equation 3x^2+6x=12, the value of c is?
Answer:
c = -12
Step-by-step explanation:
Quadratic Standard Form: ax² + bx + c
Step 1: Write equation
3x² + 6x = 12
Step 2: Subtract 12 on both sides
3x² + 6x - 12 = 0
Here, we have the standard form of the quadratic. We see that our c = -12
Determine the perimeter of the athletic track
Answer:
418.2477796 m
Step-by-step explanation:
You divide it in to a rectangle and 2 half circles (which will make a whole circle if added together) and solve them.
RECTANGLEP= 2( L + W) - - > 2 ( 102 + 60)= 324
Circle (has a circumference not a perimeter)Cf= 2лr^2 - - - > 2л(30)^2=30л
Together324 + 30л = 418.2477796 m