To solve the equation -10(x-1.7)=-3 by expanding first, we need to apply the distributive property of multiplication.
Expanding -10(x-1.7), we get
-10x + 17 = -3
Now we can solve for x by isolating the variable on one side of the equation. To do this, we'll add 10x to both sides of the equation
-10x + 17 + 10x = -3 + 10x
Simplifying, we get
17 = 10x - 3
Next, we add 3 to both sides of the equation
17 + 3 = 10x - 3 + 3
Simplifying, we get
20 = 10x
Finally, we divide both sides of the equation by 10 to isolate x
20/10 = 10x/10
Simplifying, we get
2 = x
Therefore, the solution to the equation -10(x-1.7)=-3 by expanding first is x = 2.
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USE THE FACTOR THEOREM
YES OR NO
Answer:
yes
Step-by-step explanation:
the factor theorem says if (x + a) is a factor of a polynomial f(x) then f(- a) = 0
given (x+ 5) then if f(- 5) = 0 , (x + 5) is a factor
4[tex](-5)^{4}[/tex] + 16(- 5)³ - 6(- 5)² + 73(- 5) + 15
= 4(625)+ 16(- 125) - 6(25) - 365 + 15
= 2500 - 2000 - 150 - 350
= 500 - 500
= 0
then (x + 5) is a factor of the given polynomial
Please I need some help as soon as possible
Answer:
[tex] {m}^{2} + 7m - 30 = [/tex]
[tex](m - 3)(m + 10)[/tex]
Please help with these to questions its urgent please!
Answer:
First problem: x = 5.7√2 = (57√2)/10
Second problem: x = 10√3
A system of equations is shown.
{ x= = 10
3x + 5y = 20
What is the solution x of the system of equations?
Answer:
(r, y)=(10,-2)
Step-by-step explanation: Hope this helps :)
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).
What are the coordinates of point S’?
Therefore, the coordinates of [tex]S'[/tex] are [tex](-2, -1)[/tex] .
What are coordinates?A series of numbers called coordinates is used to describe a point's location in a two- or three-dimensional space.
Typically, coordinates in a two-dimensional space are expressed as a pair of integers (x, y), where x denotes the point's horizontal location (also known as the abscissa) and y denotes its vertical position (also known as the ordinate).
Coordinates are commonly expressed as a triplet of numbers (x, y, z) in a three-dimensional space, where x, y, and z stand for the locations along the x, y, and z axes, respectively.
In order to describe the location of objects or points in space, coordinates are often employed in a variety of disciplines, including mathematics, physics, engineering, and computer graphics.
To rotate a point 180° about the origin, we need to negate the x-coordinate and the y-coordinate of the point.
So to find the coordinates of S', we can apply this rule to the coordinates of S:
x-coordinate of [tex]S' = -x-[/tex] coordinate of [tex]S = -(2) = -2[/tex]
y-coordinate of [tex]S' = -y-[/tex] coordinate of [tex]S = -(1) = -1[/tex]
Therefore, the coordinates of S' are [tex](-2, -1).[/tex]
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I need help on this I’m not to sure on it
Answer: your answer would be A.
What expression represents a x 5
A: Product
B: Sum
C: Difference
D:Quotient
8 The events committee wants to survey students about a school dance. The committee is
meeting in the gym, where the girls' basketball team is practicing. They survey the
players on the girls' basketball team.
The events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.
How to solveTo calculate the percentage of the student population being surveyed, you can use the formula:
Percentage = (Number of students surveyed / Total number of students) * 100
In this case, the number of students surveyed is 15 (girls' basketball team), and the total number of students is 1,000.
Percentage = (15 / 1,000) * 100 = 1.5%
So, the events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.
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The events committee wants to survey students about a school dance. The committee is
meeting in the gym, where the girls' basketball team is practicing. They survey the
players on the girls' basketball team.
If there are 1,000 students in the school, and the girls' basketball team has 15 players, what percentage of the student population is being surveyed by the events committee about the school dance?
Roger can finish his math homework in 6 hours. Trish can finish the same homework in 5 hours. What part of the homework will Roger and Trish finish if they work together for 1 hours?
Roger and Trish will have completed 11/30 of the homework if they work together for 1 hour.
To solve this problem
First, we need to find their individual rates of work, which is the reciprocal of the time it takes for each to complete the homework:
Roger's rate: 1/6 of the homework per hour
Trish's rate: 1/5 of the homework per hour
When they work together, their combined rate of work is the sum of their individual rates:
Combined rate: 1/6 + 1/5 = 11/30 of the homework per hour
After working together for 1 hour, they will have completed:
11/30 * 1 = 11/30 of the homework
Therefore, Roger and Trish will have completed 11/30 of the homework if they work together for 1 hour.
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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 4.5 ft by 11.5 ft by 10.5 ft. The container is entirely full. If, on average, its contents weigh 0.4 pounds per cubic foot, and, on average, the contents are worth $4.60 per pound, find the value of the container’s contents. Round your answer to the nearest cent.
The value of the container's contents is approximately $983.25
What is the value of the container's contents?To find value of the contents, we must calculate its volume first.
Volume = length x width x height
Volume = 4.5 ft x 11.5 ft x 10.5 ft
Volume = 534.375 cubic feet
The container is full and its contents have a volume of 534.375 cubic feet. If its contents weigh 0.4 pounds per cubic, then, total weight of the contents is:
= Volume x Weight per cubic foot
= 534.375 cubic feet x 0.4 pounds per cubic foot
= 213.75 pounds
If the contents are worth $4.60 per pound on average, then the total value of the contents is:
= Weight x Value per pound
= 213.75 pounds x $4.60 per pound
= $983.25.
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Jade is constructing wooden figures for a park.
She is making six of them and fitting them
together to form part of a stage. What is the total
volume of all of the parts? Show your work.
10 ft
3 ft
4 ft
It is to be noted that the volume of all the wooden figures will come to.
Why is this so?Each wooden figure as shown in the image is
L = 4ft
W = 4ft
H = 10ft
Where L = Length, w= Width and H = height.
The volume of a cuboid is L x W x H
So we have
4 x 4 x 10
Since there are six of the figures, we restate the expression as:
6 x 4 x 4 x 10
= 960 Ft³
Thus, volume of all of the parts is 960 Ft³
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See attached image.
Given v = - 5i + 7j and w = - 1 - j a. Find pro*l_{w}*v b. Decompose v into two vectors v_{1} and v_{2} where v_{1} is parallel to w and v_{2} is orthogonal to w
The value of proᵥᵥv is (-30/37)i + (42/37)j and the decomposed vector v into v₁ and v₂ are 6 + 6j and -5i + j - 6 respectively.
a. To find the projection of w onto v (proᵥᵥw), we can use the formula,
proᵥᵥw = (w · ȳ)ȳ where ȳ is the unit vector in the direction of v.
First, let's find the unit vector in the direction of v,
|v| = √((-5)² + 7²) = √(74)
ȳ = v/|v| = (-5/√(74))i + (7/√(74))j
Next, let's find the dot product of w and ȳ,
w · ȳ = (-1)(-5/√(74)) + (-1)(7/√(74))
w · ȳ = 12/√(74)
Finally, we can find the projection of w onto v,
proᵥᵥw = (w · ȳ)ȳ = (12/√(74))((-5/√(74))i + (7/√(74))j)
(w · ȳ)ȳ = (-60/74)i + (84/74)j
(w · ȳ)ȳ = (-30/37)i + (42/37)j
Therefore, the projection of w onto v is (-30/37)i + (42/37)j.
b. v₁ = ((v · w)/|w|²)w
v₂ = v - v₁ where |w| is the magnitude of w. First, let's find |w|,
|w| = √((-1)² + (-1)²)
|w| = √(2)
Next, let's find v · w,
v · w = (-5)(-1) + (7)(-1)
v · w = -12
Using the formula, we can find v₁,
v₁ = ((v · w)/|w|²)w = (-12/2)(-1 - j)
v₁ = 6 + 6j
Now, finding v₂,
v₂ = v - v₁
v₂ = (-5i + 7j) - (6 + 6j)
v₂ = -5i + (7 - 6)j - 6
v₂ = -5i + j - 6
As a result, the vector v can be divided into two parts: v₁ = 6 + 6j and v₂ = -5i + j - 6, where v₁ is parallel to w and v₂ is orthogonal to w.
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Complete question - Given v = - 5i + 7j and w = - 1 - j.
a. Find proᵥᵥv
b. Decompose v into two vectors v₁ and v₂ where v₁ is parallel to w and v₂ is orthogonal to w.
Ilana is training for a half marathon. For the first three days of her training plan, she will need to run 4.125 miles each day. For the next two days she will increase her mileage to 5.675 miles per day. How many miles total did Ilana run during her first training week?
Ilana ran a total distance of 23.725 miles during her first week of training for a half marathon.
What does distance mean?Distance refers to the amount of space or physical separation between two points or objects. It is a measure of how far apart two objects or points are from each other.
According to the given informationIlana will run 4.125 miles each day for the first three days, which gives a total distance of:
4.125 miles/day × 3 days = 12.375 miles
For the next two days, she will run 5.675 miles per day, which gives a total distance of:
5.675 miles/day × 2 days = 11.35 miles
To find the total distance that Ilana ran during her first training week, we simply add the distances from the first three days and the next two days:
12.375 miles + 11.35 miles = 23.725 miles
Therefore, Ilana ran a total of 23.725 miles during her first week of training.
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This is an example of a(n)
Answer:
shape
Step-by-step explanation:
Determine the equation of the circle with center (6,-2)containing the point (14,6).
Answer:
(x -6)² +(y +2)² = 128
Step-by-step explanation:
You want the equation of the circle centered at (6, -2) through point (14, 6).
Circle equationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
For center (h, k) = (6, -2), we can find the value of r² knowing that it will be the value that lets the point (14, 6) satisfy the equation.
(14 -6)² +(6 -(-2))² = r² = 8² +8² = 128
The circle equation is ...
(x -6)² +(y +2)² = 128
otal assets of Charter Company equal $880,000 and its equity is $510,000. What is the amount of its liabilities?
b. Total assets of Martin Marine equal $680,000 and its liabilities and equity amounts are equal to each other. What is the amount of its liabilities? What is the amount of its equity?
Answer:A=OE+L
Step-by-step explanation:
880000=51000+L
Liabilities=370000
680000=2x
The amount of its equity of 340000 for the second problem
Answer:3,000
Step-by-step explanation:
‼️‼️WILL MARK BRAINLIEST IF HELPFUL‼️‼️
Answer:
Step-by-step explanation:
(a) Given: r=4 h=3
Formula for cylinder: V=Bh = [tex]\pi r^{2} h[/tex]
Solution:
V= [tex]\pi r^{2} h[/tex]
V= [tex]\pi[/tex]4²(3) >square
V= [tex]\pi[/tex] (16)(3) >multiply numbers
V=48[tex]\pi[/tex] >leave as pi
(b) Given: 4 h=6
This volume will be greater because you are multiplying by 6 instead of 4
V=96[tex]\pi[/tex]
Find the midpoint of the segment formed by the points D(8, 6) and E(4, 10). A. (2, –2) B. (6, 8) C. (9, 5) D. (12, 16)
Answer:
B
Step-by-step explanation:
let the mid-point of DE be ( x , y )
x = (8+4)/2 = 6
y = (6+10)/2 = 8
the mid- point of DE is ( 6 , 8 )
Marisol is making bracelets and rings to sell at a craft fair She plans to sell each bracelet for $6 and each ring for $8. The craft fair committee charges a $25 fee to sell at the fair, and it costs Marisol $2 to make a bracelet and $4 to make a ring. If Marisol wants to sell at least $600 in jewelry and spend less than $300 for supplies and the fee, which system of inequalities represents the situation? Let b represent the number of bracelets and r represent the number of rings.
The equation that represent the number of bracelets b and the number of rings r is 6b + 8r > 600 and 2b + 4r < 275, hence, option A is correct.
Let b represent the number of bracelets and r represent the number of rings that Marisol makes. Marisol plans to sell each bracelet for $6 and each ring for $8. So the amount she earns from selling bracelets is 6b and the amount she earns from selling rings is 8r.
The craft fair committee charges a $25 fee to sell at the fair. So Marisol's total earnings after paying the fee is 6b + 8r - 25. It costs Marisol $2 to make a bracelet and $4 to make a ring. So the total cost of making b bracelets and r rings is 2b + 4r. To make a profit, Marisol's earnings must be greater than her costs,
6b + 8r - 25 > 2b + 4r
Simplifying this inequality, we get,
4b + 4r > 25
We also know that Marisol wants to sell at least $600 in jewelry. This can be expressed as,
6b + 8r > 600
Finally, Marisol wants to spend less than $300 for supplies and the fee. This can be expressed as,
2b + 4r + 25 < 300
Simplifying this inequality, we get,
2b + 4r < 275
Therefore, the system of inequalities that represents the situation is,
6b + 8r > 600
4b + 4r > 25
2b + 4r < 275
where b represents the number of bracelets and r represents the number of rings that Marisol makes.
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Suppose in an orchard the number of apples in a tress is normally distributed with a mean of 300 and a standard deviation of 30 apples. Find the probability that a given tree has between 300 and 390 apples.
Using a normal distribution calculator and entering the mean as 300, the standard deviation as 30 and the range (300 to 390), the probability that a given tree has between 300 and 390 apples is 0.4987 or 49.87%.
How the probability is determined:Probability refers to the chance or likelihood that an expected event occurs out of many possible events.
Probability lies between 0 and 1, depending on the degree of certainty.
Mean = 300
Standard deviation = 30
Range = 300 to 390
Thus, the probability that a given tree has between 300 and 390 apples is 0.4987 or 49.87%.
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allison jogged around lions park for one hour and according to her pedometer she covered 4.5 miles. if allison jogs at the same rate for 1 and a half hours how many miles will she jog?
If Allison jogs at the same rate for 1 and a half hours, the number of miles that she would jog is 6.75 miles.
What is speed?In Mathematics and Science, speed is the distance covered by a physical object per unit of time.
How to calculate the speed?In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;
Speed = distance/time
Speed = 4.5/1
Speed = 4.5 miles per hour.
Making distance the subject of formula, we have:
Distance, d(t) = speed × time
Distance, d(t) = 4.5 × 1.5
Distance, d(t) = 6.75 miles.
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Can you help me with this
Answer: 6/1
Step-by-step explanation: 2/1 x 3/1 = 6/1
Solve the Pythagorean theorem for a, assuming a, b, and c are positive.
Answer:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]
The correct answer is D.
know how I can find the measurements in Bloxburg?
Answer:
I'm sorry, but there is no feature for this in this game. But, there is a grid and a sizing tool. You'll just have to make an educated guess based on the size of your character and your character's stage of life (baby, toddler, kid, teen, adult). Hope I helped! I once had the same question, but just did this. I think each big grid square maybe is 3-5 ft?
Step 1: Understand the Problem
Keep the Old Car or Buy a Used Car
Manny is an online student who currently owns an older car that is fully paid for. He drives, on average, 190 miles per week to commute to work. With gas prices currently at $
2.9 per gallon, he is considering buying a more fuel-efficient car, and wants to know if it would be a good financial decision.
The old car Manny owns currently gets 18 miles per gallon for average fuel efficiency. It has been a great vehicle, but with its age, it needs repairs and maintenance that average $
770 per year (as long as nothing serious goes wrong).
The newer, more fuel-efficient car that he is looking at to purchase will cost a total of $
6,500 over a three-year loan process. This car gets 32 miles per gallon and would only require an average of $
10 per month for general maintenance. To help make a decision, Manny wants to calculate the total cost for each scenario over three years. He decides to use the quantitative reasoning process to do this.
Step 3: Apply Quantitative Tools
Use computational and algebraic tools to quantify the total costs (gas, maintenance/repairs, purchase price) for each scenario over the three years.
Round your answers to the nearest dollar.
Scenario
Total Cost for Three Years
Keep the old car
$
Number
Buy the fuel-efficient used car
$
Number
A rental car company charges $22 per day to rent a car at 0.08 for every mile driven Samuel wants to rent a car knowing that he plans to drive 450 miles he has at most to spend $80 right and solve an inequality which could determine X the number of days Samuel can afford rent Austin within his budget
The inequality to represent the situation is 11x + 18 ≤ 40.
How to represent an expression with inequality?The rental car company charges $22 per day to rent a car at 0.08 for every mile driven. Samuel wants to rent a car knowing that he plans to drive 450 miles he has at most to spend $80.
Therefore, the inequality to represent the situation of Samuel when x is the number of days can be represented as follows:
Hence,
22x + 0.08 × 450 ≤ 80
22x + 36 ≤ 80
Divided both sides of the inequality by 2
11x + 18 ≤ 40
Hence, the required inequality expression is 11x + 18 ≤ 40
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Can someone help pleaseeee
The result of the row 1 multiplication by 1/4 is determined as [¹/₂ 0 ].
What is the result of the row multiplication?The resultant of the row multiplication in the Matrice is calculated by applying the following method;
row 1 in the given matrices = [2 0]
To multiply row by 1/4, we will multiply each entity by 1/4 as shown below;
[2 0] x 1/4 = 1/4(2 0)
= [¹/₂ 0 ]
Thus, the result of the row multiplication is determined by multiplying each entry in row 1, that is 2, and 0 by 1/4.
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what are the answers to these questions
The dimensions that minimizes the perimeter are undefined and DNE
Calculating the dimensions that minimizes the perimeterFrom the question, we have the following parameters that can be used in our computation:
Base = w
Heights = h and T
Where
T = 1.6w
The area of the window is calculated as
A = 1/2Tw + hw
So, we have
A = 1/2 * 1.6w * w + hw
A = 0.8w² + hw
Differentiate with respect to w
A' = 1.6w + h
Set to 0
1.6w + h = 0
Solve for h
h = -1.6w
The above means that the perimeter cannot be minimized
This is because h and w cannot be negative
Hence, h = undefined and w = undefined
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Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
Open and clear communication is crucial when discussing estate planning and wills with family members to prevent misunderstandings and hurt feelings.
1. It is understandable that Brennan and Maureen feel shocked and disappointed with the reduced inheritance.
While it is not required for parents to disclose every detail of their estate planning to their children, it would have been helpful if they had discussed the impact of the gifts on their estate and their final inheritance.
Clear communication can prevent misunderstandings and hurt feelings in the future.
2. Brennan and Maureen have a responsibility to discuss the will with their parents. It is essential to have an open and honest conversation about their parents' wishes and intentions to avoid any confusion or disputes in the future.
While it can be uncomfortable to talk about death and inheritance, it is a crucial conversation to have.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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Correct answer gets brainliest!!!!
Answer:
it is a zero dimensional point
Step-by-step explanation:
points are an exact location represented by a dot.
points do not have dimension (length, width, or height)
