Answer:
\(x^2\sqrt{x+5} -2\sqrt{x+5}\)
Step-by-step explanation:
use foil
\(x^2\sqrt{x+5} -2\sqrt{x+5}\)
cannot be simplified any further so it's the answer
4. Find the area of the shaded region. 5 ft 9 ft 3 ft 4 ft A. 36 ft² B. 38 ft² C. 39 ft² D. 40 ft²
Due before 8:30
Answer:
C. 39 ft²
Step-by-step explanation:
Area of the outer rectangle which includes the white triangle
= length x width
= 5 x 9
= 45 ft²
Area of the white triangle
= 1/2 x base x height
= 1/2 x 4 x 3
= 6 ft²
Area of shaded region
= Area of rectangle - Area of triangle
= 45 - 6
= 39 ft²
WILL GIVE BRAINLIST TO BEST ANSWER
Michael is a collage tutor. he charges a $50 to fee, and then makes $15 per hour that he tutors. if he made a total of $250 last month how many hours did he work?
given JK || MN and L is the midpoint of JM proven JKL = MNL
The triangle JKL is similar to triangle MNL by AA similarity and all three sides of the triangle are equal, so JKL = MNL.
What is the triangle?One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.
Given:
JK || MN and L is the midpoint of JM,
As the line JK || MN then,
∠ MNL = ∠ JKL (The alternate angle of the parallel line are equal)
∠ LMN = ∠ LJK (The alternate angle of the parallel line are equal)
∠ JLK = ∠ NLM (The corresponding angle of the parallel line are equal)
Thus, all the sides will also be equal as the angles are equal.
Hence, the area will also be equal.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ1
Can someone help on this please? Thank youu;)
The only expressions that are equal to (3 4/9)/(3 2/9) are 3 4/9 + 2/9, 3 4/9 - 2/9, 3 6/18, and 3 6/9.
Find the coordinates of the centroid of the triangle with the vertices at S(-2, 3), T(6, 7), and U(4, 1)
Answer:i cant see the answer
Step-by-step explanation:
The coordinates of the centroid of the triangle with the vertices at S(-2, 3), T(6, 7), and U(4, 1) is G(8/3, 11/3).
What is the centroid of a triangle?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians connect. The junction of all three medians is another definition for it. The median is a line that connects the middle of a side to the triangle's opposite vertex. The median is divided by the centroid of the triangle in a ratio of 2:1.
How are the coordinates of a centroid found?By averaging the x and y coordinates of each of the three vertices, we can get the centroid of the triangle. Therefore, the centroid formula may be written as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3) in mathematics.
How to solve the question?In the question, we are asked to find the coordinates of the centroid of the triangle with vertices at S(-2, 3), T(6, 7), and U(4, 1).
We know that the centroid is found using the centroid formula which is written as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).
Thus, the centroid G = ((-2 + 6 + 4)/3 (3 + 7 + 1)/3),
or, the centroid G = (8/3, 11/3).
Thus, the coordinates of the centroid of the triangle with the vertices at S(-2, 3), T(6, 7), and U(4, 1) is G(8/3, 11/3).
Learn more about the coordinates of the centroid of a triangle at
https://brainly.com/question/7644338
#SPJ2
ou need to rent a truck for one day to move to a new house. uhaul charges $50 a day plus $0.99 per mile. to rent the same size truck from penske will cost $350 a day with no mileage charge. at how many miles will both companies have the same total cost? round your answer to the nearest whole number if needed.
The miles will be around 303 miles, both Uhaul and Penske will have the same total cost.
To determine at what point both companies have the same total cost, we need to set up an equation.
Let x be the number of miles driven.
For Uhaul, the cost will be $50 + $0.99x.
For Penske, the cost will be $350.
Setting these two expressions equal to each other, we get:
$50 + $0.99x = $350
Simplifying this equation, we get:
$0.99x = $300
U-Haul: Cost_UH = 50 + 0.99 * miles
Penske: Cost_P = 350
Set the equations equal to each other to find the number of miles where the costs are equal.
50 + 0.99 * miles = 350
Solve for the number of miles.
0.99 * miles = 350 - 50 0.99 * miles = 300 miles = 300 / 0.99
Calculate the number of miles and round to the nearest whole number if needed.
miles ≈ 303
So,
At approximately 303 miles, both companies will have the same total cost for renting a truck for one day.
Dividing both sides by $0.99, we get:
x ≈ 303.03
It is important to note that this calculation assumes that the only cost for Uhaul is the rental fee and mileage charge, and does not include any additional fees or charges that may be incurred during the rental period.
It is also important to consider other factors such as the availability of trucks, customer service, and any additional services offered by the rental companies before making a final decision.
For more questions related to total cost:
https://brainly.com/question/30355738
#SPJ11
darcy has a summer job painting houses. he is asked to paint the wooden siding on a house that is 28 feet wide and 35 feet long. the siding extends 6 feet up the side of the house. a) what is the total surface are he must paint? b) a one gallon can of the stain that darcy is using covers approximately 225 ft squared. if darcy applies 2 coats of stain, how many cabs of stain should he buy?
Darcy requires 24.14 gallons of paint to cover an area of 2716 feet².
Length of the house = 35 feet
width of the house = 28 feet
Height of the house = 6 feet
Total surface area = 2 l b + 2 b h + 2 h l
A = 2 (35) (28) + 2 (28) (6) + 2 (6) (35)
A = 1960 + 336 + 420
A = 2716 feet²
If he uses 2 coats of stain, the area he need to cover = 2 (2716) = 5432 feet²
Gallon of paint required = 5432 / 225 = 24.14 gallons.
Therefore, Darcy requires 24.14 gallons of paint to cover an area of 2716 feet².
Learn more about area here:
https://brainly.com/question/25292087
#SPJ9
The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.
1) The amplitude c+ is c+l
2) The expectation value is 0
3) The uncertainty ΔSX is √(3/7) c+.
Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:
Ψ = c+ |+> + c- |->
where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.
Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->
Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.
Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).
Now, |+> can be written as:|+> = 1/√2(|l> + |r>)
Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)
Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)
Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->
Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:
c+/√2 = c+l/√2 + i/(√7√2)
Therefore, c+ = c+l
The amplitude c+ is a real number and is equal to c+l
The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>
Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)
As c+ is a real number, Im(c+) = 0
Therefore, = 0
The uncertainty ΔSX in the state |Ψ> is given by:
ΔSX = √( - 2)
where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2
Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)
Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+
Learn more about the wave function at
https://brainly.com/question/31744195
#SPJ11
A density graph for all of the possible temperatures from 60 degrees to 160
degrees can be used to find which of the following?
OA. The probability of a temperature from 90 degrees to 180 degrees
OB. The probability of a temperature from 30 degrees to 120 degrees
OC. The probability of a temperature from 30 degrees to 90 degrees
OD. The probability of a temperature from 90 degrees to 120 degrees
Answer:
The density graph for all possible temperatures from 60 degrees to 160 degrees can be used to find the probability of a temperature falling within a certain range.
Option (A) is incorrect because it includes temperatures that are outside the range of the graph.
Option (B) is incorrect because it includes temperatures that are outside the range of the graph.
Option (C) is incorrect because it includes temperatures that are outside the range of the graph.
Option (D) is the only option that falls within the range of the graph. Therefore, the density graph can be used to find the probability of a temperature from 90 degrees to 120 degrees, which is option (D).
Step-by-step explanation:
Which of the following titles is most likely a compare-and-contrast essay?
A. Living on the West Coast and Why I Like It
B. East Meets West: Natives’ Perspectives
C. Traveling on the West Coast
D. Problems with Living on the East Coast
B. East Meets West: Natives’ Perspectives is most likely a compare-and-contrast essay because it is directly comparing the perspectives of people from the East and West coasts. The other titles are more descriptive or subjective in nature, rather than focused on comparing and contrasting two different things.
Solve 2 (x – 4) – 6 = 7(x + 8) for x.
Answer:
x= -14
Step-by-step explanation:
Answer:
x = -14
Step-by-step explanation:
2(x - 4) - 6 = 7(x+8)
2x - 8 - 6 = 7x + 56 (Distributive)
2x - 14 = 7x + 56 (combined like terms)
-5x = 70
x = -14
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches
Answer:
c
Step-by-step explanation:
The greatest possible whole-number length of the unknown side among the option is 9 inches.
Obtuse triangle
Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.
Triangle inequality theorem:The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If the sides of the triangles are x, y and z. Therefore,
x + y > z
x + z > y
y + z > x
Therefore, the greatest possible length among the option is 9.
Proof
12 + 14 > 9
12 + 9 > 14
14 + 9 > 12
learn more on triangle here: https://brainly.com/question/10373668
A local middle school adopted a policy for school uniforms. Students can wear black pants or tan pants. They can wear a yellow shirt, a red shirt, a green shirt, or a white shirt. The tree diagram shows the possible outfit choices.
A tree diagram with outcomes B Y, B R, B G, B W, T Y, T R, T G, T W.
How many different choices does a student have when choosing a pair of pants and a shirt?
2
4
8
10
A student has 8 different choices when choosing a pair of pants and a shirt.
What is probability tree?Without using intricate calculations, the likelihood of an event occurring is shown using a probability tree diagram. It shows every consequence that an event might have. A probability tree serves the aim of listing all potential outcomes of an event and calculating the likelihood of each one. A probability tree diagram can be used to indicate conditional probabilities or to show a sequence of independent occurrences.
The student can choose from four shirts and two pairs of pants (black or tan) (yellow, red, green, or white). We multiply the number of options for pants by the number of options for a shirt to get the total number of options:
2 choices for pants × 4 choices for a shirt = 8 total outfit choices
Therefore, a student has 8 different choices when choosing a pair of pants and a shirt.
Learn more about probability tree here:
https://brainly.com/question/28916734
#SPJ1
What are the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 2?
Step-by-step explanation:
y=mx+b
m is the slope
b is the y- intercept
y = 9x -2
slope = 9
y intercept = -2
Answer:
The slope is –2, and the y-intercept is 9
Step-by-step explanation:
A sample of an unknown liquid has a volume of 3.0 mL and a mass of 12 g. What is its density?
Answer:
Density = mass divided by volume
12 divided by 3.0 = 4 g/mL
Step-by-step explanation:
50 points pls help!!!!!!
Make sure you are right I will have to retake this if you are wrong
if the terminal point of Ø is (0,1), what is tan Ø?
undefined
1
1/2
0
Answer:
undefined
Step-by-step explanation:
Since, the terminal point of is (x,y), thus
\(tan\) Ø \(\frac{y}{x}\)
x-coordinate is 1 and the y-coordinate is 0. Using \(tan0=\frac{y}{x}\) we get:
\(tan\) ∅ \(=\frac{1}{0}\)
\(tan\) ∅ \(=0\)
Therefore, tan Ø is undefined.
Or we can just do 1/0 which is undefined
~Lenvy~
Find the angle between (-2,-1) and (3,-6). The angle between (-2,-1) and (3,-6) is (Round to the nearest tenth as needed.) ***
To find the angle between the vectors (-2, -1) and (3, -6), you can use the dot product and absolute value formulas. The angle between vectors is approximately 137.9 degrees.
You can use the dot product of two vectors to find the angle between them. Denote the vectors as A = (-2, -1) and B = (3, -6). The inner product formula states that A · B = |A|. |B| cos θ, where |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.
First we need to calculate the magnitude of the vector. \(|A| = \sqrt{((-2)^2 + (-1)^2)} = \sqrt{5}\) and |B| =\(\sqrt{(3^2 + (-6)^2) } = \sqrt{(9 + 36)} = \sqrt{45} = 3\sqrt{5}\). Then compute the dot product of A and B. A B = (-2)(3) + (-1)(-6) = -6 + 6 = 0.
Now we can rearrange the dot product formula to find the angle θ. \(0 = \sqrt{5} (3\sqrt{5} ) cosθ\). Simplification: cosθ = 0 / (\(\sqrt{5}) (3\sqrt{5} )\)) = 0. The cosine of θ is 0, so the angle θ is 90 degrees, or \(\pi\)radians. Therefore, the angle between vectors (-2, -1) and (3, -6) is approximately 90 degrees, or\(\pi\) radians.
Learn more about angle here:
https://brainly.com/question/31818999
#SPJ11
The daily low temperatures from last week are shown below. (The measurement is fahrenheit)
-9, -8, -7, 8, 10, 12, 18
What is the mean low temperature of last week?
A.-2
B.6
C.8
D.10
what is 9×10005
1 90,000
2 80,900
3 90,045
Answer:
its 90,045
Step-by-step explanation:
just use a calculator
Aight so I got a grade of 44% on my module 6 exam... the assignment is worth 80 points and my grade is a 94.45%. I'm waiting on 2 unfinished essays. How much will this bring down my grade?
Answer:
It depends how many points you already have
Step-by-step explanation:
how much are the essays worth? i might be able to get your final score if you tell me
What are the terms of each expression?
4x + 3z
Answer:
4x and 3z are the only 2 terms in this esxpression.
help me please with my maths homework, thanks for your responses
On solving the provided question we can say that the polynomial is x² + 6x + 8 by factorization are x(x-5) - 1(x-5) ⇒ (x-1)(x-5) ⇒ x = 5, 1
what is factorization?A number or other mathematical object is factored, or written as the product of numerous factors—typically smaller or simpler things of the same kind—in mathematics. For instance, the integer 15 is factorized as 3 5, which is the factorization of the polynomial x2 – 4. Factorization in mathematics refers to the breakdown of a number into smaller numbers that are multiplied together to produce the original number. Factorization is the division of a number into its factors or factors. 12 is multiplied by 3 and 4 as an example.
the polynomial is
by factorization are
x(x-5) - 1(x-5)
(x-1)(x-5)
x = 5, 1
To know more about factorization visit:
https://brainly.com/question/13496719
#SPJ1
A square could be called a _____ since it has four right angles.
A square could be called a rectangle since it has four right angles.
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°. Observe the rectangle given below to see its shape, sides and angles.
So, Every square is a rectangle because it is a quadrilateral with all four angles right angles.
Learn more about Rectangle at:
https://brainly.com/question/29123947
#SPJ4
Determine if the following lines are parallel, perpendicular or neither.
2 y+4x=12
y=-2x-3
neither
O perpendicular lines
parallel lines
Answer:
neither
Step-by-step explanation:
one lines slope is 2 and the other is -2
write the following as an algebraic equation . Use x as the unknown and use a sum.
Sum of a number and its equivalent to 115.6
The value of unknown number is 57.8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the unknown number.
Sum of a number and its equivalent to 115.6
The equivalent number value will be also same as the unknown number.
x+x=115.6
2x=115.6
Divide both sides by 2
x=115.6/2
x=57.8
Hence, the value of unknown number is 57.8.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Calculate the expected value of the scenario.xP(x;)- $1.250.1- $0.250.4$00.2$1.250.3 (Expected value = $ “ANSWER”)
The Expected Value of a Discrete Probability Distribution
Given a number of events:
x = {x1, x2, x3,..., xn}
And their respective probabilities:
P = {p1, p2, p3,..., pn}
The expected value is calculated as follows:
\(Ex=\sum ^{i=n}_{i=1}x_i\cdot p_i\)We are given:
x = {-1.25, -0.25, 0, 1.25}
P = {0.1, 0.4, 0.2, 0.3}
Substituting:
\(Ex=(-1.25)\cdot0.1+(-0.25)\cdot0.4+(0)\cdot0.2+(1.25)\cdot0.3\)Calculating:
\(\begin{gathered} Ex=-0.125-0.1+0+0.375 \\ Ex=0.15 \end{gathered}\)The expected value is $0.15
Multiply. Write your answer as a fraction in simplest form.
Three divided by sixteen times six
A sequence of transformations including a dilation was performed below. What is the scale factor of the dilation?
The scale factor of the sequence of transformations is 1/2
Calculating the scale factor of the sequence of transformationsFrom the question, we have the following parameters that can be used in our computation:
The triangles
From the triangles, we have the following parameters
Side length of = 7Corresponding side length = 3.5Using the above as a guide, we have the following:
Scale factor of the dilation = Corresponding side length / Side length
So, we have
Scale factor of the dilation = 3.5/7
Evaluate
Scale factor of the dilation = 1/2
Hence, the scale factor of the dilation is 1/2
Read more about scale factor at
brainly.com/question/29229124
#SPJ1
which of the following is a factor of 12x2 − 4x − 1?
To find the factors of the expression 12x^2 - 4x - 1, we can use the factor theorem. The factor theorem states that if a polynomial expression evaluates to zero when a certain value is substituted for the variable, then that value is a factor of the polynomial.
To determine if a certain value is a factor of the expression, we can use synthetic division. Synthetic division involves dividing the polynomial expression by the possible factor to check if the remainder is zero. If the remainder is zero, then the value is a factor.
Let's start by checking if x = 1 is a factor of the expression:
1 | 12 - 4 - 1
| 12 8
|____________
12 8 7
Since the remainder is not zero, x = 1 is not a factor of the expression.
Next, let's check if x = -1 is a factor of the expression:
-1 | 12 - 4 - 1
| -12 16
|____________
12 -16 15
Again, the remainder is not zero, so x = -1 is not a factor of the expression.
Now, let's check if x = 2 is a factor of the expression:
2 | 12 - 4 - 1
| 24 40
|____________
12 20 39
Once again, the remainder is not zero, so x = 2 is not a factor of the expression.
Finally, let's check if x = -2 is a factor of the expression:
-2 | 12 - 4 - 1
| -24 56
|____________
12 -28 55
As we can see, the remainder is not zero, so x = -2 is not a factor of the expression.
After checking all the possible factors, we can conclude that none of the values tested (1, -1, 2, -2) are factors of the expression 12x^2 - 4x - 1.
to know more about factors here:
brainly.com/question/30517179
#SPJ11
A 30 ft wire stretches from the top of a light pole diagonally to the ground. The light pole is 10 feet high. What is the angle the wire makes with the ground?
Answer:
The correct answere would be 19 degrees after solving for the length of the wire plus the diagnal of the ground.
Step-by-step explanation: