Answer: -4/3x—2
Step-by-step explanation:
Which statement is true about the ordered pair (3 , 4)?
To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. So correct option is C.
Describe Ordered Pairs?In mathematics, an ordered pair is a pair of mathematical objects or values, written in a specific order. The two objects can be numbers, coordinates, points, or any other mathematical entity. An ordered pair is written in parentheses, separated by a comma. For example, (3, 5) is an ordered pair of two numbers, where 3 is the first element and 5 is the second element.
The order of the elements in an ordered pair is important, as it indicates which element represents the first coordinate or value, and which element represents the second. In many cases, ordered pairs are used to represent points in a coordinate plane, where the first element represents the x-coordinate and the second element represents the y-coordinate. For example, the ordered pair (3, 5) represents a point that is 3 units to the right on the x-axis and 5 units up on the y-axis from the origin.
To plot the ordered pair (3,4) on a coordinate plane, we need to move 3 units to the right on the x-axis and 4 units up on the y-axis from the origin (0,0). Therefore, the correct statement is:
C. To plot the ordered pair (3,4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
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The complete question is:
Which statement is true about the ordered pair (3 , 4)?
A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.
B. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.
C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
D. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.
factorise: y³-23y²+142y-120
The factorization of the expression y³ - 23y² + 142y - 120 is (y - 1) (y - 12) (y - 10).
Factorizationy³ - 23y² + 142y - 120
= y³ - y² - 22y² + 22y + 120y - 120
= y²(y - 1) - 22y(y - 1) + 120(y - 1)
= (y - 1) (y² - 22y + 120)
= (y - 1) (y² - 12y - 10y + 120)
= (y - 1) y(y - 12) - 10(y - 12)
= (y - 1) (y - 12) (y - 10)
Therefore, the factorization of the expression y³ - 23y² + 142y - 120 is (y - 1) (y - 12) (y - 10).
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Hector wants to send a parcel to Spain.
His parcel is a cuboid with dimensions 10 cm, 10 cm and 40 cm.
10 cm
10 cm
He looks at the prices of two companies,
WeGoFast and ParcelsFly.
Not drawn
to scale
WeGoFast
Total cost: Sum, in cm, of the 3 dimensions * £1. 20F
GXF420 Find the cost of sending the
parcel with each company.
Give each of your answers
Parcels Fly
in pounds (£).
Total cost: Volume measured in cm' * £0. 02
The cost for sending the parcel with each company is £72 via WeGoFast and £80 by ParcelsFly.
In product, exploration, retail, and account, a cost is the value of plutocrat that has been used up to produce commodity or deliver a service, and hence isn't available for use presently. In business, the cost may be one of accession.
Hector needs the parcel to be send.
Dimension for his cuboid parcel is given by 10 cm by 10 cm by 40 cm.
10cm x 10cm x 40cm
Sum of the three dimension in cm
= (10 + 10 + 40) cm
= 60 cm.
Volume of the parcel in = (10 × 10 × 40) = 4000 cm³
Price charge by WeGoFast
= Sum of the three dimensions in cm × £1.20
= £ (60 × 1.20) = £72.
Price charged by ParcelsFly
= Volume measured in × £0.02
= £ (4000 × 0.02) = £80
Therefore, The cost of sending the parcel with each company is £72 by WeGoFast and £80 by ParcelsFly.
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Please help me solve my problem!!!
Answer:
The answer is E.
Step-by-step explanation:
A quadrilateral that has only one pair of parallel sides is called a Trapezoid.
Can someone explain this
Answer:
(A) 6 minutes
Step-by-step explanation:
it takes 20 and 30 minutes to fill the whole tub, so it takes only 10 and 15 minutes to fill half the tub.
in 1 minute the cold faucet can do 1/10 of the work (to fill half the tub).
in 1 minute the hot faucet can do 1/15 of the work (to fill half the tub).
so, together, they do in 1 minute
1/10 + 1/15 of the work (to fill half the tub).
1/10 + 1/15 =3/30 + 2/30 = 5/30 = 1/6
so, together, they do in 1 minute 1/6 of the work (to fill half the tub).
therefore, for the full work they need 6 times that amount of time of 1 minute.
together, they can fill half the tub in 6 minutes.
solve for n
solve for n
solve for n
solve for n
solve for n
Answer:
n = 4Step-by-step explanation:
Isosceles triangle, the given angles are congruent
6n - 3 = n + 176n - n = 17 + 35n = 20n = 20/5n = 4Answer:
n = 4
Step-by-step explanation:
6n - 3 = n + 17
5n = 20
n = 4
what is the slope-intercept equation of this line?
Answer:
y=-2x+8
Step-by-step explanation:
Slope=-2
Y intercept= 8
Eric is building a storage box for his nephews. The box will be 42 inches long, 24 inches deep, and 20 inches tall. He plans to cover the entire outside of the box with three coats of a clear coat protective finish. If each can of finish covers about 27. 5 square feet, what is the minimum number of cans of finish needed for the job? Explain how you found your answer
Eric will need at least 6 cans of finish to cover the entire outside of the box with three coats.
To find the minimum number of cans of finish needed for the job, we first need to calculate the total surface area of the box that will be covered with the finish.
The box has a length of 42 inches, a depth of 24 inches, and a height of 20 inches. To find the total surface area, we can use the formula for the surface area of a rectangular prism:
Surface area = 2(length x width + width x height + height x length)
Surface area = 2(42 x 24 + 24 x 20 + 20 x 42)
Surface area = 2(1008 + 480 + 840)
Surface area = 6656 square inches
Since the finish will be applied in three coats, we need to multiply the total surface area by three to get the total area of finish needed:
Total area of finish = 3 x 6656 square inches
Total area of finish = 19968 square inches
Now we can convert the total area of finish from square inches to square feet by dividing by 144:
Total area of finish = 19968 square inches / 144 = 138.67 square feet
Since each can of finish covers about 27.5 square feet, we can calculate the minimum number of cans needed by dividing the total area of finish by the coverage of each can:
Minimum number of cans = 138.67 square feet / 27.5 square feet per can
Minimum number of cans = 5.04 cans
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State the most specific name for each figure.
7)
The most specific name for the figure is an isosceles trapezoid
How to state the most specific name for the figure.From the question, we have the following parameters that can be used in our computation:
The figure
The properties of the given figure are
A pair of parallel sidesA pair of non- parallel sides pointing towards different directionsUsing the above as a guide, we have the following:
The figure is a trapezoid
Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid
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An object moves along a line with a velocity v(t) = t² - 5t + 6 at time t.- Find the displacement (net change of position) of object during the time period 0 ≤ t ≤ 4- Find the distance travelled during this time period
A- the displacement of the object during the time period 0 ≤ t ≤ 4 is 4/3 units. B-The total distance travelled by the object during the time period 0 ≤ t ≤ 4 is L₁ + L₂ ≈ 5.742 units.
The velocity function of the object is v(t) = t² - 5t + 6.
a) To find the displacement (net change of position) of the object during the time period 0 ≤ t ≤ 4, we need to find the antiderivative of the velocity function and evaluate it at the endpoints:
s(t) = ∫ v(t) dt = (1/3) t³ - (5/2) t² + 6t
The displacement of the object during the time period 0 ≤ t ≤ 4 is:
s(4) - s(0) = [(1/3) (4³) - (5/2) (4²) + 6(4)] - [(1/3) (0³) - (5/2) (0²) + 6(0)]
= (64/3) - 20
= 4/3
b) To find the distance travelled by the object during the time period 0 ≤ t ≤ 4, we need to find the absolute value of the displacement function:
|s(t)| = |(1/3) t³ - (5/2) t² + 6t|
To find the distance travelled, we need to find the total length of the curve |s(t)| for 0 ≤ t ≤ 4. We can break up this interval into two subintervals, [0, 2] and [2, 4], and compute the length of the curve on each subinterval separately using the formula:
L = ∫√(1 + (ds/dt)²) dt
where s(t) is the position function and ds/dt is the derivative of the position function, which is the velocity function.
On the interval [0, 2], the velocity function is v(t) = t² - 5t + 6, and the position function is s(t) = (1/3) t³ - (5/2) t² + 6t. Therefore, the length of the curve on this interval is:
L₁ = ∫₀² √(1 + (ds/dt)²) dt
= ∫₀² √(1 + (t² - 5t + 6)²) dt
≈ 2.608
On the interval [2, 4], the velocity function is v(t) = t² - 5t + 6, and the position function is s(t) = (1/3) t³ - (5/2) t² + 6t. Therefore, the length of the curve on this interval is:
L₂ = ∫₂⁴ √(1 + (ds/dt)²) dt
= ∫₂⁴ √(1 + (t² - 5t + 6)²) dt
≈ 3.134
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The tap can fill up the bathtub in 22 minutes. The capacity of the bathtub is 176 L
How much water is added to the tub per minute?
Answer:
8.8 L
Step-by-step explanation:
volume/time
176/22
=8.8
Jawad has seven rocks.
The total weight of all seven rocks is 5kilograms 6 of the rocks each have a weight of 720 grams.
Work out the weight, in grams of the other rock
680 grams.
So, it's telling us to calculate the weight, in grams, of the other rock.
So firstly,
6 of the rocks EACH have a weight of 720 grams.
So, 6 x 720 = 4320
Now save 4320 for later.
Next, we need to convert the 5 kilograms into grams.
So, 5 x 1000 = 5000
now do, 5000 - 4320 = 680.
Your final answer would then be = 680g
I hope this helped.
m∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
The question does not specify the condition that must satisfy the given angles. We assume they are the internal angles of a triangle.
Answer:
x = 10
Step-by-step explanation:
Internal Angles of a Triangle
The measure of the angles of a triangle are given as 48-x, 9x-38, and 90. Since the sum of the internal angles of a triangle is 180°:
48 - x + 9x - 38 + 90 = 180
Simplifying:
100 + 8x = 180
Subtracting 100:
8x = 180 - 100 = 80
x = 80/8
x = 10
Advanced C++) I need help to rewrite the following loop, so it uses square bracket notation (with [ and ] ) instead of the indirection operator.
forr(inttxx==00;;xx<<300;;x++))
coutt<<<*(array + x)]<<
In this updated version, the indirection operator * has been replaced with square bracket notation []. The loop iterates over the indices from 0 to 299 (inclusive) and prints the elements of the array using square brackets to access each element by index.
Here's the rewritten loop using square bracket notation:
for (int x = 0; x < 300; x++)
cout << array[x];
In the above code, the indirection operator "*" has been replaced with square bracket notation "[]". Now, the loop iterates from 0 to 299 (inclusive) and outputs the elements of the "array" using square bracket notation to access each element by index.
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how many hours are between 7:00 am and 10:25 am?
What is the slope of the line that passes through the points M (-3,5) and N (1,8)
Answer:
m=3/4
Step-by-step explanation:
See the attached above.
Hope it helps :)
The slope of line passing through M (-3,5) & N (1,8) will be 3/4.
We have been given a line passing through points M (-3,5) & N (1,8) .
We have to find out what will be the slope of the line ?
What is the formula for slope of a line ?
Slope of line is given by , m = (y2-y1) / (x2-x1).
Given that line is passing through points M (x1 , y1) and N (x2,y2) or M (-3,5) & N (1,8).
here , x1 = -3 , y1 = 5 , x2= 1 . y2 = 8
The slope (m) of line will be ;
∵ m = ( y2-y1) / (x2-x1)
m = ( 8-5) / (1- (-3))
m = 3 / 4
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if a1 = 2 and an = -5an-1 +3 then what's the value of a5
HELP PLEASE
Answer:
10
Step-by-step explanation:
a1=2
a=2
an=-5an-1+3
plug in
(2)5=10
How all work. Emani ubcribe to a Blind Box program that end her random gift from Japan every
month. The ubcription ha a one-time fee of $30 plu $9 per month and will continue
until he cancel. A. Emani plan to pend $210 or le from her ummer job on thi ubcription. Write an
inequality to olve for the number of month he will be able to purchae thi
ubcription
Emani will be able to purchase the subscription for a maximum of 5 months if she wants to spend $210 or less from her summer job.
The subscription has a one-time fee of $30 plus $9 per month, so the total cost per month is $9 + $30 = $39.
Emani plans to spend $210 or less from her summer job on this subscription, so we can write an inequality to represent this situation:
$39x <= $210
Where x is the number of months Emani will be able to purchase the subscription.
To solve for x, we need to divide both sides of the inequality by $39:
x <= (210/39)
x <= 5.38
So Emani will be able to purchase the subscription for a maximum of 5 months, if she wants to spend $210 or less from her summer job.
Note: This is an approximation, since x can't be a decimal. And if you round down to 5 months she will be able to spend $195.
Therefore, Emani will be able to purchase the subscription for a maximum of 5 months if she wants to spend $210 or less from her summer job.
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The subscription has a one-time charge of $30 and a monthly fee of $9, making the monthly cost total $9 + $30 = $39 for the subscription.
We can create an inequality to symbolize this circumstance since Emani intends to spend no more than $210 from her summer job on this subscription:
$39x <= $210
Emani will have the option to buy the subscription for x months.
Divide both parts of the inequality by $39 to find the value of x:
x <= (210/39)
x <= 5.38
3 1/5 as a equivalent decimal
Answer:
3.20 there is your answer
please help for the love of god
NEED HELP ASAP ASAP!!!!!
(6+3) to the power of 2 + (10-15 divide by 3 )
The value of the numerical expression (6 + 3)² + [10 - (15/3)] will be 86.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ (6 + 3)² + [10 - (15/3)]
Simplify the expression, then we have
⇒ (6 + 3)² + [10 - (15/3)]
⇒ (9)² + [10 - 5]
⇒ 81 + 5
⇒ 86
The value of the numerical expression (6 + 3)² + [10 - (15/3)] will be 86.
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Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run
Answer:
6 laps
Step-by-step explanation:
Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run
One tenth of a mile = 1/0
Three fifths of a mile = 3/5
From the question:
1/10 mile = 1 lap
3/5 mile = x
Cross Multiply
1/10 mile × x = 3/5 mile × 1 lap
x = 3/5 mile × 1 lap/ 1/10 mile
x = 3/5 ÷ 1/10
x = 3/5 × 10/1
x = 6 laps
Therefore, for there fifths of a mile(3/5) he needs to run 6 laps
how do you solve this and what is the answer?
y-3=5/2(x-3)
What number divided by - 3 gives 12 as the result?
Answer:
If you use a search engine you will get the right answer.
Step-by-step explanation:
if p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =
The value of the union of sets A and B is, P(A ∪ B) is 0.64.
The union of two sets means the total elements in both the sets combined.
Given: sets P(A) = 0.38, P(B) = 0.83, and intersection P(A ∩ B) = 0.57
We need to find the union of P(A ∪ B).
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Let us substitute the given values in the formula.
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=0.38+0.83-0.57
=1.21-0.57
=0.64
Therefore, the value of union of sets P(A ∪ B) is 0.64.
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how do I solve this? 9 3/10 - 2 7/10
EXPLANATION
The expression 9 3/10 first you be converted into a improper fraction as follows:
9 3/10 = 93/10
Applying the same operation for 2 7/10:
2 7/10 = 27/10
Then, subtracting both fractions:
93/10 - 27/10 = 66/10
Simplifying the fraction:
33/5
The answer is 33/5
Word Problem On Division
1. a cup can hold 2/9 ( fraction) litres of water. how many cups of water can be filled with 3 litre bottle?
a company has purchased a policy that will compensate for the loss of revenue due to severe weather events. the policy pays 1000 for each severe weather event in a year after the first two such events in that year. the number of severe weather events per year has a poisson distribution with mean 1. calculate the expected amount paid to this company in one year.
The standard deviation, A = -1 is the expected amount paid to this company in one year.
What is standard deviation?
The variability in your dataset is measured by its standard deviation.It reveals the average deviation between each result and the mean.A low standard deviation denotes that values are grouped closely to the mean, while a large standard deviation denotes that values are often spread widely from the mean.The required payment random variable is given by
1000(x - 2 )
where x posses poison distribution with mean 1.
the expected value to be paid in the one year is given by
= 1000 ∑x=3 ( x - 2 ) e!/x!
= 1000 ( ∞∑ x= 0 ( x- 2 ) e⁻¹/x! - 2∑x = 0 ( x - 2 ) e⁻¹/x!
= 1000 ( A - B )
the expected value to be paid in the one year is given by
= 1000 ∑x=3 ( x - 2 ) e!/x!
= 1000 ( ∞∑ x= 0 ( x- 2 ) e⁻¹/x! - 2∑x = 0 ( x - 2 ) e⁻¹/x!
P ( K=x ) = e⁻¹/x!
so
∑ x=0 x p( k = x ) = ∞∑x = 0 x e⁻¹/x! = 1
and ∞∑x = 0 e⁻¹/x! = 1
∵ A = ∞∑X = 0 (x - 2 )e⁻¹/x!
A = 1 - 2 * 1
A = -1
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The graph below shows the solution set of which inequality?
Answer: E. x ≥ 0
Step-by-step explanation:
First, we see that we have a closed circle on 0. This means we will be using a ≤ or ≥ symbol, since a closed circle represents also equal to.
Next, the line goes to the right, this means all values are greater than or equal to 0. Our inequality looks like this when written out, which is answer option E.
E. x ≥ 0