Answers
Answer:
The expression for the shaded region is 10x² + 12x .
Step-by-step explanation:
First, you have to find the area of both rectangles using the formula :
[tex]area = length \times height[/tex]
Small rectangle,
[tex]area = x \times (5x - 2)[/tex]
[tex]area = 5 {x}^{2} - 2x[/tex]
Large rectangle,
[tex]area = (3x + 2) \times 5x[/tex]
[tex]area = 15 {x}^{2} + 10x[/tex]
In order to find the shaded region, you have to subtract the smaller from the larger one :
[tex]area \: of \: shaded = large - small[/tex]
[tex]area = 15 {x}^{2} + 10x - 5 {x}^{2} + 2x [/tex]
[tex]area = 10 {x}^{2} + 12x[/tex]
Related Questions
If point Q is reflected across x = 1, what are the coordinates of its reflection image?
Answers
Answer:
(-1, -2) last answer
Step-by-step explanation:
x = 1 is a vertical line
Answer:
(-1, -2)
Step-by-step explanation:
This is because the x-coordinate goes 2 units left to the line x = 1 and the y-coordinate remains the same.
what is the vertex of g(x)=8x^2-64x? a) (4,-128) b) (-4,-128) c) (4,-16) d) (-4,-16)
Answers
Answer:
The correct answer is D.
Step-by-step explanation:
Answer:
The answer is A.) (4,-128)
Step-by-step explanation:
please help me solve
Answers
Answer:
20
Step-by-step explanation:
She will be 10 in 5 years witch means she is 5
Double five you get 10
10 + 10 = 20
Answer:
the answer is B.) 20 years old
Step-by-step explanation:
if in 5 years melissa is 10, then right now she is 5 years old. since laura is twice as old as melissa, then laura is currently 10 years old. and if Kim is 10 years older then laura, then Kim is 20 years old
Tl;Dr:
10-5=5
5x2=10
10+10=20
SOOMEONEEEEE PLEASE HELLLLLLP MEEEEEEEEE just answer these math problems (don't put an answer if you cant do it please because I checked all the time and I need this so BAAAD just comment for questions and more) :) technically is not homework but I just feel bad for not doing it (and ill marked it brainliest and 15 points if that is fine)
Answers
Answer:
2).X= 3.464 m
3).X= 86.60m
4).X= 51.96 m
5).X= 30 m
6). X=3.193 m
7). X= 126.2 m
8).79.41m = x
9). 14.3km = x
10). 173.21 m= x
Step-by-step explanation:
For question 2
Distance of ladder from the foot
Tan60= 6/x
X= 6/tan 60
X= 3.464 m
For question 3
The height of the wall x is
Sin 60= x/100
X= 100*0.8660
X= 86.60m
Question 4
The distance between tree and tower is x
Tan30 = 30/x
X= 30/tan 30
X= 30/0.5774
X= 51.96 m
Question 5
If TanA= 3/4
And base = 40 m
TanA= x/40
Equating
X/40= 30/40
X= 30 m
Question 6
The length of ladder= x
Cos 20 = 3/x
X= 3/cos20
X=3.193 m
Question 7
Length of the string= x
Sin 31= 65/x
X= 65/sin 31
X= 126.2 m
Question 8
Height of kite= x
Tan ∅ = 15/8
∅= Tan^-1(15/8)
∅=61.93°
Sin∅= x/90
Sin61.93 *90= x
79.41m = x
Question 9
Height above ground= x
Tan 50= x/12
Tan 50 * 12 = x
14.3 km = x
Question 10
Height of balloon above ground= x
Sin60= x/200
Sin 60 *200 = x
173.21 m= x
Can someone help me?
Answers
Answer:
sq. root(330)
Step-by-step explanation:
[tex] \sqrt{-55 \sqrt[3]{-216} } = \sqrt{-55(-6)} = \sqrt{330} [/tex]
[Cube root of -216 = -6]
If $a$ and $b$ are integers, such that $a\not= 0$ and $b\not= 0$ and $a^2$ and $b^2$ have at most two digits, what is the greatest possible difference between the squares of $a$ and $b?$
Answers
Answer:
80
Step-by-step explanation:
t is important to note that a square of any non-zero integer is positive, and therefore there is no advantage in using negative integers instead of positive integers to attain the greatest difference of squares. So we will not consider negative integers.
The greatest value of a^2 - b^2 occurs when a^2 is at its largest and b^2 is at its smallest.
The larger a, the larger a^2:
8 ^ 2 = 64
9 ^ 2 = 81
10 ^ 2= 100
Since a^2 can have at most two digits, a=10 is too large, and so a=9 is the largest integral value of a we can use.
Now, b^2 is at its smallest when b is closest to zero on the number line (the further b gets from zero, the larger its square becomes):
2 ^ 2 = 4
1 ^ 2 =1
0 ^ 2 = 0
Remember to go back to the original problem sometimes, to make sure you are taking everything into account. It states b doesn't =0, and therefore the b=1 is the closest b can get to zero as an integer. So, the greatest difference between b^2 and a^2 is when b=1 and a=9, giving the result:
a^2-b^2 =9^2-1^2 =81-1= 80.
So, 80 is your answer.
Making Purchasing decision.
Q1) A restaurant meal usually cost Nu 80. A special rate of Nu 60 is offered for lunch on Thursday only. Calculate the percent discount.
Answers
Answer:
25%
Step-by-step explanation:
Given that a restaurant meal usually cost Nu 80 but on Thursdays it cost Nu 80.
To determine the discount, we have to find the ratio between the difference between the usual cost and the cost on Thursday to the usual cost of meals. It is given by:
Percent discount = (Usual cost - Cost of meal on Thursday)/ Usual cost × 100%
Percent discount = (80 - 60) / 80 × 100% = 20 / 80 × 100%
Percent discount = 25%
At which value in the domain does f(x)=0? On a coordinate plane, a function goes through the x-axis at (negative 2.5, 0), (negative 0.75, 0), (0, negative 3), and (1, 0).
Answers
Answer:
The values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Step-by-step explanation:
Since we are given the points (-2.5,0), (-0.75, 0), (0, -3) and (1,0) where the coordinates are in ordered pairs of (x, y) where y = f(x).
To find the values in the domain where f(x) = 0, we look at the ordered pairs given.
We look for the pair in which f(x) = 0.
So f(x) = 0 in (-2.5, 0)
f(x) = 0 in (-0.75, 0)
and f(x) = 0 in (1, 0)
The corresponding values of x in which f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
So, the values in the domain where f(x) = 0 are x = -2.5, x = - 0.75 and x = 1.
Answer:
C. [tex]x=1[/tex]
Step-by-step explanation:
When x is 1, y is 0.
A plot of land is represented on a map whose scale is 1:10000.On the map perimeter of the plot is 24.8cm.Calculate,in km ,the actual perimeter of the plot
Answers
Answer:
24.8 km
Step-by-step explanation
To do this we would just multiply 24.8 by 10,000 which is 248000 and if we divide that by 10000 (to get km) we would get 24.8km
Select the correct answer. Compare the two functions.
-
Which statement is true?
A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x).
B. As x increases, the rate of change of g(x) exceeds the rate of change of f(x).
C. At x = 2, the rate of change of g(x) is equal to the rate of change of f(x).
D. On every interval of x, the rate of change of f(x) exceeds the rate of change of g(x).
Answers
In other words, f(x) grows faster after a certain point. This is true when comparing any exponential curve to a linear one.
Choice B is false as it contradicts choice A.
Choice C is false as the tables show the function outputs are equal at x = 2, not the rates of change
Choice D is false because there are infinitely many intervals where f(x) grows slower compared to g(x). That's why I mentioned the "after a certain point" portion.
Answer:
A
Step-by-step explanation:
in the equation 3y + 10= 5y-25, what is the value of y
Answers
Answer:
y = 35/2Step-by-step explanation:
3y + 10= 5y-25
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
that's
3y - 5y = - 25 - 10
Simplify
- 2y = - 35
Divide both sides by - 2
y = 35/2Hope this helps you
Answer:
y=35/2 or 17.5
Step-by-step explanation:
1) 3y + 10= 5y-25
-3y -3y
2) 10 = 2y - 25
3) 10 = 2y - 25
+25 +25
35= 2y
4)Divide both sides by 2
y=35/2 or 17.5
Factor the expression completely 18^2-32
Answers
Answer:
292
Step-by-step explanation:
To factor this, we need to multiply 18 by 18 to get 324 because the ^2 means you have to multiply the number by itself twice. Then, we subtract 32 from 324 to get our answer 292.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answers
Answer:
[tex]\sqrt{3}x^2y+x^3-x[/tex]
Step-by-step explanation:
In an expression that is a polynomial, the exponent of the variables (x and y) are natural numbers bigger or equal to 0. So, the only expression that is a polynomial is [tex]\sqrt{3}x^2y+x^3-x[/tex], because we have the exponents equal to 2, 3, and 1 for x and an exponent equal to 1 for y.
The other expressions have exponents that are negatives, rational or the exponent is the same variable.
Write 0.00000414 in scientific notation.
Answers
Answer:
[tex]4.14*10^{-6}[/tex]
Step-by-step explanation:
Well scientific notation is (something*10^(other thing))
so we count have many zeroes there are, and there are 6, so we move the decimal point 6 times and get
[tex]4.14*10^{-6}[/tex]
Answer: It would take 6 "jumps" the left of 4.14 x 10^-6 to move the decimal back to where it actually is when not in scientific notation. 0.00000414
Step-by-step explanation:
hope this helps you :)
Plot the image of point D under a dilation about point P with a scale factor of 1/3
Answers
Answer:
check the graph below
Step-by-step explanation:
Dilation involves changing the size and position of a point
The image of the dilation is (4,-3)
From the figure, the coordinates of point D and point P are:
[tex]D = (13,2)[/tex]
[tex]P = (1,11)[/tex]
The scale factor of dilation is given as:
[tex]k = \frac{1}{3}[/tex]
The rule of dilation about point P is then calculated as:
[tex](x,y) \to k(x_D - x_P, y_D - y_P)[/tex]
So, we have:
[tex](x,y) \to \frac 13 \times (13 - 1, 2- 11)[/tex]
Simplify
[tex](x,y) \to \frac 13 \times (12, -9)[/tex]
Expand
[tex](x,y) \to (\frac 13 \times 12, -\frac 13 \times9)[/tex]
[tex](x,y) \to (4, -3 )[/tex]
This means that, the image of the dilation is (4,-3)
See attachment for the image of the dilation
Read more about dilation at:
https://brainly.com/question/8532602
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answers
Answer:
2.4 bags
Step-by-step explanation:
Uh you can keep your brains.
Using the data table, we get:
1, 2, 2, 3, 4 as our data.
Finding the mean:
(1+2+2+3+4)÷5=
12÷5=
2.4 bags
Is 210879 divisible by 3?
PLEASE HELPP
Answers
Answer:
Yes
Step-by-step explanation:
Well to figure out if 210879 is divisible by 3 we do,
210879 / 3
= 70 293.
Thus,
210879 is divisible by 3.
Hope this helps :)
Answer: Yes
Explanation: To determine whether 210,879 is divisible by 3, first we need to find the sum of the digits.
Image is provided below.
The divisibility rules tell us that if the sum of the digits is divisible by 3,
then the number is also divisible by 3.
So since 27 is divisible by 3, 210,879 must also divisible by 3.
So our answer is yes, 210,879 is divisible by 3.
Please answer it now in two minutes
Answers
Answer:
3.9
Step-by-step explanation:
Pythagorean theorem:
a^2 + b^2 = c^2
a^2 + 1^2 = 4^2
a^2 + 1 = 16
a^2 = 15
a = sqrt(15)
a = 3.9
Answer a = 3.9 yards
Answer:
[tex]\boxed{3.9}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
Apply Pythagorean theorem.
[tex]a^2 + b^2 = c^2[/tex]
[tex]a^2 + 1^2 = 4^2[/tex]
[tex]a^2 + 1 = 16[/tex]
[tex]a^2 = 15[/tex]
[tex]a=\sqrt{15}[/tex]
[tex]a \approx 3.872983[/tex]
if m∠2= 137 and m∠P= 22, what is m∠O? answers are 43,21,65,115
Answers
Answer:
21
Step-by-step explanation:
since it is a triangle subtract 180 by 137 and 22
180-(137+22) or 180-132-22
hope this helps
Answer:
21
Step-by-step explanation:
We khow that the sum of a triangle's angles sizes is 180°
137+22 = 159°substract the sum of the two khown angles from 180°
180°-159° = 21 °so m<0 = 21°
help quick quick quick qucik
Answers
Answer: 85 = 3.75x + 12.25
The restaurant can have 19 loads
Step-by-step explanation:
The 85 accounts for the restaurant's budget. The 3.75x accounts for the cost of each load. The 12.25 accounts for the delivery fee.
85 = 3.75x + 12.25
Subtract 12.25
72.75=3.75x
Divide by 3.75
19.4=x
Round down
x = 19
Hope it helps <3
Answer:
19.4
Step-by-step explanation:
3.75x+12.25=85
subtract 12 from both sides, and divide to put the variable alone.
Then you have to get 19.53333333
Round up and its 19.4
Check if it is true
3.75×19.4+12.25=85
If Line LK = 16, find the length of Line JK.
Answers
Answer:
JK = 16√2
Step-by-step explanation:
This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.
Since this has a side of 16, the hypotenuse will be 16√2.
Cheers.
write an equation of a line with the given slope and y intercept m =1/4,b=-3/4
Answers
Answer: y=1/4x-3/4
Step-by-step explanation:
We have our equation of a line formula y=mx+b
Then we substitute the given and get y=1/4x-3/4
3 3/8 divided by 9 equals
Answers
Answer:
3/8
Step-by-step explanation:
Hey there!
Well we need to turn 3 3/8 into an improper fraction.
3*8 = 24
24 + 3 = 27
27 ÷ 9 = 3
3/8
Hope this helps :)
The answer of the given equation is 0.375
Given that,
3 3 by 8 divided by 9.Based on the above information, the calculation is as follows:
[tex]= 3 \frac{3}{8} \div 9\\\\ = \frac{27}{8} \div 9\\\\ = 3.375 \div 9\\\\ = 0.375[/tex]
Learn more: https://brainly.com/question/12522729?referrer=searchResults
Pls help w this question
Answers
Answer:
f(x) = -2x + 1
Step-by-step explanation:
The given expression is [tex]\frac{64^x}{4^{5x-1}}[/tex]
By solving the given expression further,
[tex]\frac{64^x}{4^{5x-1}}[/tex] = [tex]\frac{[(4)^{3}]^x}{(4)^{5x-1}}[/tex] [Since 64 = 4³]
= [tex]\frac{4^{3x}}{4^{5x-1}}[/tex]
= [tex]4^{3x}\times 4^{-(5x-1)}[/tex] [Since [tex]\frac{1}{a}=a^{-1}[/tex]]
= [tex]4^{3x-5x+1}[/tex] [Since [tex]a^x\times a^y=a^{(x+y)}[/tex]]
= [tex]4^{(-2x+1)}[/tex]
By comparing the result with [tex]4^{\text{f(x)}}[/tex]
f(x) = -2x + 1
Therefore, f(x) = (-2x + 1) will be the answer.
Nine-banded armadillos always give birth to quadruplets—four identical babies (called pups). Jenny’s armadillo has produced four female pups. Jenny realizes that each of those pups could eventually have four more armadillos.
a. How many armadillos would Jenny have if the four pups grew up to have four more pups each?
b. What if every generation of Jenny’s armadillos was female? How many armadillos would there be if you only count the ones in the 5th generation? Can you write a formula for the number of armadillos in any given generation? Please explain what each variable and each number in your formula means.
c. According to this formula the world should be overrun with armadillos after 20 to 25 generations. Why isn’t this true in real life?
Answers
Answer:
a. 16; b. aₙ = 4ⁿ⁻¹; c. predation and carrying capacity will limit the population
Step-by-step explanation:
a. The first female had 4 pups.
If each of them had 4 pups, there would be 4 × 4 = 4² = 16 pups.
b. 1st generation = 1 pup
2nd generation = 4 × 1 pup = 4 pups
3rd generation = 4 × 4 pups = 16 pups
4th generation = 4 × 16 pups = 64 pups
5th generation = 4 × 64 pups = 256 pups
The sequence is 1, 4, 16, 64, 256, …
We can also write it as 4⁰, 4¹, 4², 4³, 4⁴, …
Note that the exponent is one less than the number of the generation.
Thus, the general formula for the nth term, aₙ, is
aₙ = 4ⁿ⁻¹, where
n = the number of the generation
a = the number of pups in that generation.
c. a₂₅ = 4²⁵⁻¹ = 4²⁴ ≈ 281 000 000 000 000 or 281 trillion
The population would not reach that number because there would not be enough food for all those pups. Pups would die of starvation until their numbers equalled the carrying capacity of the ecosystem and would level off at that point.
There would also be increased predation by coyotes, bobcats, etc. This would also keep the population growth in check,
area of parallelogram is 30cm^2 .
If the length of two adjacent
sides are 6 cm and 10cm
respectively. Find its diagonal
Answers
Answer:
The lengths of the diagonals are;
15.49 cm and 5.66 cm
Step-by-step explanation:
The given area of the parallelogram = 30 cm²
Also the length of 2 adjacent sides are 6 cm and 10 cm
Given that the formula for the area of a parallelogram = Base × Height, h where the base is either of the sides of the parallelogram we have;
When the base b = 10 m and the other side, a = 6 cm the diagonal, d is given by the relationship, d² = (a + √(b² - h²))² + h²
10 × h₁ = 30
h₁ = 30/10 = 3
d₁² = (b + √(a² - h₁²))² + h₁² = (10 + √(6² - 3²))² + 3² = 239.92 cm²
d₁ = √(239.92 cm²) = 15.49 cm
The other diagonal can be found from the following relationship;
d₂² = (b - √(a² - h₁²))² + h₁²
d₂² = (10 - √(6² - 3²))² + 3² = 32.08 cm²
d₂ = √(32.08 cm²) = 5.66 cm.
people tend to be more Satisfied with election results if their top choices win.for how many,and what percentage,of people was the winning
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
im so dum and suck at math
Answers
Answer:
Our set of data is:
A. their first choice (12 people)
B their second choice (7 people)
C their third choice (3 people)
D their last choice (3 people)
The total number of people is:
12 + 7 + 3 + 3 = 25.
You already know the number of people for each situation, but let's calculate the percentage:
1st choice: The first choice of 12 people winned, and the total number of people is 25.
Now, 25 is our 100%, then 12 is equivalent to x;
Then we have
12*100% = 25*x
x = (12/25)*100% = 48%
This is:
The quotient between
Second choice:
Same reasoning as above, here the percentage is:
(7/25)*100% = 28%
Third choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
Fourth/Last choice:
Same reasoning as above, here the percentage is:
(3/25)*100% = 12%
In a circle PQ & RS are two chords bisecting each other,prove that the two parts of one chord are equal to the two parts of the other.
Answers
Answer:
see proof below
Step-by-step explanation:
Let
p1,p2 = half lengths of chord p
q1,q2 = half length of chord q
By the intersecting chord theorem,
p1*p2 = q1*q2, substituting p1=p2, q1=q2
p1^2 = q1*2
Take square-roots and reject negative roots
p1 = q1
therefore
p1=p2 = q1=q2, or
two parts of one chord are equal to the two parts of the other.
A carpenter makes wooden chairs. He has enough wood to make 30 chairs. He makes $60 profit on a dining chair and $90 profit on a rocking chair. It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair. He only has 40 hours available to work on the chairs. The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation. Drag and drop the correct numbers to complete the statements below. Given the restraints, the carpenter can maximize profits by making Response area dining chairs and Response area rocking chairs. His total profit for all the chairs will be $Response area.
Answers
Answer:
The carpenter can maximize profits by making 20 dining chairs and 10 rocking chairs . His total profit for all the chairs will be $2100
Step-by-step explanation:
Let x be the no. of dining chairs and y be the no. of rocking chair
Time taken by carpenter to make 1 dining chair = 1 hour
Time taken by carpenter to make x dining chairs = x hours
Time taken by carpenter to make 1 rocking chair = 2 hour
Time taken by carpenter to make y rocking chairs = 2y hours
He only has 40 hours available to work on the chairs.
[tex]\Rightarrow x+2y \leq 40[/tex]
He has enough wood to make 30 chairs.
[tex]\Rightarrow x+y\leq30[/tex]
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
So, profit =60x+90y
Plot the equations on graph
Refer the attached figure
Coordinates of feasible region
(0,20),(20,10) and (30,0)
Profit =60x+90y
At(0,20)
Profit = 1800
At(20,10)
Profit = 1200+900=2100
At(30,0)
Profit=900
So,the carpenter can maximize profits by making 20 dining chairs and 10 rocking chairs . His total profit for all the chairs will be $2100
Pls help me full steps I needed Find X
Answers
Answer:
x=60°
Step-by-step explanation:
Let's say the point where angle x is, be K
Because ABCD and PQRS are paralelograms,
∡PSR = ∡PQR =130°
and
∡DAB=∡DCB=70°
and by angles between parallels
∡SPQ + ∡PQR = 180°
∡SPQ + 130° = 180°
∡SPQ = 50°
by angles opposite by vertex
∡PKC = ∡BKQ = x
So in triangle PKC the sum of all angles must add up to 180°
so
∡SPQ + ∡PKC + ∡DCB = 180
50 + x + 70 = 180
x = 60