Answer:
Tue area of the new figure is 28ft
Step-by-step explanation:
Each side 20/4=5
The length 5+2=7
The width 5-1=4
The area 7x4=28
If f(x) = 3 ^ x, prove that f(x) + f(x + 1) = 4f (x) .
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = [tex]3^{x}[/tex] , then
f(x + 1) = [tex]3^{x+1}[/tex] = [tex]3^{x}[/tex] × 3
Then
f(x) + f(x + 1)
= [tex]3^{x}[/tex] + 3. [tex]3^{x}[/tex] ← factor out [tex]3^{x}[/tex] from each term
= [tex]3^{x}[/tex] (1 + 3)
= 4. [tex]3^{x}[/tex]
= 4f(x)
PLEASE HURRY!!!
Find the area of the region that is NOT shaded.
Answer: 122 square feet
Explanation:
The larger rectangle has area of 14*15 = 210 square feet.
The smaller rectangle has a horizontal dimension of 15-4 = 11 ft and its vertical dimension is 14-6 = 8 ft. Therefore, the area is 11*8 = 88 square feet.
The non-shaded region has area that is the difference of the two previous areas calculated earlier. So that would be 210-88 = 122 square feet
Fill in the missing statements and reasons in the proof
Answer:
1. Given
2. Vertical angle theorem
3. AB≅DB, EB≅CB, m<ABC≅m<DBE
4. △ABC ≅ △DBE
Hope this helps :D
C/4+ 2=5 what it’s the value of c
Answer:
c = 12
Step-by-step explanation:
i'm Attaching the work
find the surface area of this cylinder??
Answer:
4
Step-by-step explanation:
A=ch
then,
2ft×2ft
4ft
Use ratios to convert each measurement.
1. 3 yards = _____ feet
2. _____ cups= 5 gallons
3. 72 inches =_____ yards
4. ______ ounces = 5 pounds
5. ______ inches =7 feet
6. 24 feet = _____ yards
7. 40 pints = ______ gallons
8. 16 cups = ______ quarts and
9. ________ inches = 4 yards
10. 48 ounces = ________ Pounds
Answer:
1. 3 yards= 9 feet
2. 78 cups=5 gallons
3. 72 inches = 2 yards
4. 80 ounces = 5 pounds
5. 84 inches = 7 feet
6. 24 feet = 8 yards
7. 40 pints = 5 gallons
8. 16 cups = 5 quarts
9. 144 inches = 4 yard
10. 48 ounces = 3 pounds
AYUDAAAAA
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo
27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?
Answer:
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
Step-by-step explanation:
Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:
[tex]x = 27\,L\times \frac{1.7\,L}{1\,L}[/tex]
[tex]x = 45.9\,L[/tex]
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
Tricia starts school at 7:00 AM and has lunch at 12:00 PM. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch. (Hint: Set up a horizontal number line as a timeline.) A. A. 9:30 AM
B. 10:00 AM
C. 9:00 AM
D. 10:30 AM
Answer:
D) 9:00 am
Step-by-step explanation:
Because 9:00 is the midpoint of 7 and 12
Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.
[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]
[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]
[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]
[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]
X
50
50
X =
degrees
Please help with this problem I am going crazy
Answer:
x=80°
Step-by-step explanation:
Triangles always add up to 180°.
As you have 2 angles, you would have to add them together and then take it away from 180° to get your answer.
50+50=100°
180-100=80°
Hope this helps :)
Answer:
x = 80°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for x
x = 180° - (50 + 50)° = 180° - 100° = 80°
marked price of an item is 4000, what will be it's selling price having 20% discount and 10% vat.
Answer:
I HOPE IT WILL HELP
EXPLANATION IS IN THE PHOTO .
What is the answer? Don’t give me 4.
Answer:
what?
Step-by-step explanation:
........................................................................
Complete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Answer:
wea did tha r come from??
Step-by-step explanation:
it is supposed to be d
kPLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2
The answer to part A is correct. You basically have to find the area of that L shape, and subtract off the area of the shaded trapezoid.
To get part B, you need to find the perimeter. This is because the trim runs along the bottom edge of the wall. Refer to the diagram below. Adding up the exterior sides gets us:
12+12+4+8+8+4 = 48
So she needs 48 meters of trim.
I'm not sure what your teacher means by "what assumptions do you make". If your teacher is referring to something like making room for a door, then we'll have to subtract some value from that 48. The problem with this though is that we don't have any clue how wide the door is. So you'll have to ask your teacher for clarification.
Luckily, this value 48 is an overestimate of the amount of trim Jennifer needs to buy. In my opinion, it's better to overestimate than underestimate, which saves from having to make another trip to the hardware store.
Which whole number property is represented?
(8 × 2) × 6 = 8 × (2 × 6)
Answer:
(8 × 2) × 6 = 8 × (2 × 6) represents associative property of whole number.
The polygons in each pair are similar. find the missing side length
If polygons are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]
Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.
Answer:
the Mode Is 3
Step-by-step explanation:
You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode
Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.
Answer:
136
Step-by-step explanation:
Surface area=2*(lb+bh+lh)
=2*(12+42+14)=2*68=136
A telephone long distance carrier charges customers $0.99 for the first 10 minutes and then $0.09 for each minute beyond 10 minutes. If Mary uses this carrier, how long can she talk for $5.00
Answer:
5 minutes
Step-by-step explanation:
5 * $0.99 = $4.95
A factory produces 1, 250, 000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, N (in millions), being produced in t years?
The question is incomplete, the complete question is;
A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?
A. n= 2.5(1.5)/t, t cannot = 0
B. n= 1.5t^2 + 1.25
C. n= 1.5t + 1.25
D. n= 1.25(2.5^t)
Answer:
D. n= 1.25(2.5^t)
Step-by-step explanation:
This is an exponential growth problem. In mathematics, for an exponential growth problem;
P = Po(1 + r)^t
Where;
P= amount at time t
Po =initial amount
r= rate
t= time
In the context of the question we have;
n= 1.25(1 + 150/100)^t
n= 1.25(2.5)^t
2 1/4 + 3 5/8
I know I am just trying to make sure so please tell me I will give brain thing
Answer:
[tex] \frac{21}{4} + \frac{35}{8} \\ = \frac{77}{8} \\ = 9 \frac{5}{8} [/tex]
This is my last problem guys please help me
Answer:
Step-by-step explanation:
a) 9.5 feet above the ground
b) max height at of 34.5 feet 5 feet horizontal distance
c) 10.87 feet away
Please help me ASAP!! Please explain your answer
Answer:
113.1 cm²
Step-by-step explanation:
V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex] r² h
h = 12 cm , r = 3 cm , [tex]\pi[/tex] = [tex]\frac{22}{7}[/tex]
V ≈ 113.1 cm²
a polynomial has been factored below but some constants are missing. 2x^3-8x^2-24x=ax(x+b)(x+c)
Answer:
The polynomial is 2x^3 - 8x^2 - 24x
And we can factor out a 2x from each of the three terms:
2x(x^2 - 4x - 12)
Lastly, factor the remaining quadratic:
2x(x+(-2))(x+6)
And we have our answer:
a=2
b=-2
c=6
Let me know if this helps!
Answer:
a =2, b =2, and c = -6
Step-by-step explanation:
We factor the polynomial and then see which value corresponds to what.
2x^3-8x^2-24x
As we see it, all terms are factorable by 2x. So if we take out 2x from every term, we get
2x(x^2 - 4x - 12)
Now we factor the quadratic, which we can do mentally to get
2x(x+2)(x-6)
ax(x+b)(x+c)
Comparing that to ax(x+b)(x+c), we can tell that a =2, b =2, and c = -6.
identify the area of a regular decagon with side length 2 m rounded to the nearest tenth
Answer:
Area = 14.8
Step-by-step explanation:
Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )
This formula given the side length, calculates the area.
a = 2
Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )
Area = 2.5 + 4 * sqrt(5 + 2*2.236)
Area = 2.5 + 4* sqrt(5+ 4.4721)
Area = 2.5 + 4*sqrt(9.4721)
Area = 2.5 + 4*3.0776
Area = 2.5 + 12.3107
Area = 14.8107
Answer:
A ≈ 30.8 m2
Step-by-step explanation:
x-1 = [tex]\sqrt{x} -1[/tex]
Answer:
[tex]x = 0[/tex] or [tex]x = 1[/tex].
Step-by-step explanation:
Start by adding [tex]1[/tex] to both sides of this equation:
[tex](x - 1) + 1 = (\sqrt{x} - 1) + 1[/tex].
[tex]x = \sqrt{x}[/tex].
If two numbers are equal, their square should also be equal. Therefore, since[tex]x = \sqrt{x}[/tex], it must be true that [tex]x^{2} = (\sqrt{x})^{2}[/tex]. That is: [tex]x^{2} = x[/tex].
Notice that since [tex]x[/tex] is under a square root, the result must ensure that [tex]x \ge 0[/tex].
Subtract [tex]x[/tex] from both sides of the equation:
[tex]x^{2} - x = x - x[/tex].
[tex]x^{2} - x = 0[/tex].
Factor [tex]x[/tex] out:
[tex]x\, (x - 1) = 0[/tex].
Hence, by the Factor Theorem, [tex]x = 0[/tex] and [tex]x = 1[/tex] would satisfy this rearranged equation. Because of the square root in the original equation, these two value must be non-negative ([tex]x \ge 0[/tex]) to qualify as actual roots of that equation.
In this example, both [tex]x = 0[/tex] and [tex]x = 1[/tex] qualify as roots of that equation.
x-1 = \sqrt{x} -1
Math For Solution#BrainliestBunch
Divide the sum of 65/12 and 8/3 by their difference.
Answer:
97/4752
Step-by-step explanation:
So, this problem sounds hard but it is actually simple.
First, add
65/12 + 8/3 = 97/12
Next, subtract
65/12 - 8/3 = 33/12
Then, divide
97/12 ÷ 33/12 = 97/4752
Hope this helps! :)
what is the equation of the line that passes through the points (-8,8) and (4,-1)
Answer:
y = (-3/4)x + 2
Step-by-step explanation:
Find the slope of this line. Note how the first x-coordinate (-8) becomes 4, a jump of 12, and how the first y-coordinate (8) becomes -1, a decrease of 9. Then the slope is
m = (change in y) / (change in x) = -9/12 = m = -3/4
Find the y-intercept from this data using the slope-intercept form:
y = mx + b becomes 8 = (-3/4)(-8) + b when x = -8, y = 8 and m = -3/4.
Solving this equation for b, we get:
8 = 6 + b, so that b must be 2.
The desired equation is y = (-3/4)x + 2.
factorise. X^5+X^4+1.
Answer:
Answer
5.0/5
2
poojamaurya21
Virtuoso
133 answers
14.9K people helped
Answer:
): "x2" was replaced by "x^2". 4 more similar replacement(s).
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
x6 - x5 + x4 - x3 + x2 - x =
x • (x5 - x4 + x3 - x2 + x - 1)
2.2 Factor x5 - x4 + x3 - x2 + x - 1
Try to factor this 6-term polynomial into (2-term) • (3-term)
Begin by splitting the 6-term into two 3-term polynomials:
-x2 + x - 1 and x5 - x4 + x3
Next simplify each 3-term polynomial by pulling out like terms:
-1 • (x2 - x + 1) and x3 • (x2 - x + 1)
Note that the two simplified polynomials have x2 - x + 1 in common
Now adding the two simplified polynomials we get
(x3 - 1) • (x2 - x + 1)
The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 100. The vertex is (50,1000). The maximum profit of $ dollars is reached when items are produced. The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 100 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50.)
Answer:
I assume that we want to complete the statement:
"The maximum profit of $__ dollars is reached when __ items are produced"
We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).
Then we can assume that the profit will be positive in this range.
Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.
If this is the case, we know that the maximum will be at the vertex.
Here we know that the vertex is:
(50, 1000)
Where remember, x represents the number of items and y represents the profit.
So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.
Then the complete statement is:
"The maximum profit of $1000 dollars is reached when 50 items are produced"