The coordinate of point P is (7/2, -13)
Midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as shown below:
M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2}
Given the coordinate points A(-4, 2) and B(3, -6) divided in the ratio 2:5, then;
M(x, y) = {(2(-4)+5(3))/2, (2(2)+5(-6))/2}
M(x, y) = {-8+15)/2, (4-30)/2}
M(x, y) = {7/2, (-26)/2}
M(x, y) = (7/2, -13)
Hence the coordinate of point P is (7/2, -13)
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find thenonpermissible replacment for x in this expression 1/-8x
If any number is divided by zero. the result is indeterminate.
Therefore, zero is the non-permissible replacement for x.
The cost of one t-shirt is 128. How much will be the cost of 20
The cost of 20 T-Shirt will be 2560 when cost of one t-shirt is 128.
When a selling price and profit are provided, cost price equals selling price plus profit. When the selling price and loss are disclosed, cost price equals selling price plus loss.
Profit is calculated as S.P. - C.P. If the selling price is less than the cost price, the difference between the two is the loss incurred. Loss is also equal to C.P. - S.P.
We must divide the gross profit by the entire revenue for the year, multiply by 100, and then find the gross profit margin. We must divide net income (or net profit) by the entire annual revenue before multiplying the result by 100 to get the net profit margin.
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A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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if abc ~ def find the value of x
Answer: 123456789
Step-by-step explanation:
a. Find x. The figure is not drawn to scale.
b. Is the triangle equilateral, isosceles, or scalene? Explain.
SOMEONE HELP!!!
Answer:
a. x = 15
b. scalene
Step-by-step explanation:
You want to know the value of x and the classification of the triangle whose circumscribing arcs are (8x-10)°, (6x)°, and (10x +10)°.
a. ArcsThe sum of arcs around the circle is 360°.
(8x -10)° +(6x)° +(10x +10)° = 360°
24x = 360 . . . . . . . . . . . divide by °, simplify
x = 15 . . . . . . . . . . . . divide by 24
b. TriangleThe arc measures around the circle are ...
(8x -10)° = 110°
(6x)° = 90°
(10x +10)° = 160°
Each arc is double the measure of the inscribed angle that intercepts it. The different arc measures mean the angle measures are different, so the triangle is scalene.
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An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of the region is growing at a rate of 34 m per year at a time when the region is 450 m wide. How fast is the area changing at that point in time?
Answer:
The area is changing at the point of \(\mathbf{61200 m^2/year}\)
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time
\(\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)\)
At the time t
\(\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m\)
Replacing the values back into equation 2, we get:
\(\dfrac{dA}{dt }= 4 \times 450 \times 34\)
\(\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}\)
What is the coefficient of the second term in this expression?
–
1–2y2
Answer:
-2
Step-by-step explanation:
Given the expression 1 - 2y²
The second term of the expression is -2y²
The coefficient of the second term is the value attaches to the variable present in the term. The coefficient of -2y² will therefore be -2
If and is in , find cos
Answer:
9/41
Step-by-step explanation:
Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side) which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.
120 is the product of — 12 and b
Can someone help me please..
Answer:
Quadratic formula
Step-by-step explanation:
The function is quadratic because it is a parabola. Exponential functions shoot either upwards or downwards rapidly, and it is clearly not linear due to it's curve. It also isn't piecewise because the function never stops or starts irregularly.
Make a rap about why a parallelogram is the best shape. Must be appropriate and at least a minute long. Giving brainless to whoever answers!!!
Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:
Yo, listen up, the parallelogram is where it's at,
A shape so brilliant, the angles are sat.
Parallel sides that never converge,
Internal angles that never diverge.
Each side an equal length,
A geometry prodigy's dream length.
The diagonals intersect, another line through the middle they meet,
Creating symmetry so neat.
A rectangle it could be,
But it's oblong, not square, can't you see?
With depth and width in perfect balance we see,
A two-dimensional form of complexity.
While the square is simple, the parallelogram is hip,
A mathematical masterpiece, skip, skip, skip!
four right angles keep the shape so tight,
Parallel lines dominate left and right.
Rotated or reflected without a care,
Its structural integrity beyond compare.
triangles form at each corner you'll note,
Acute or obtuse, depends on the protractor's groove.
A versatile shape with reason and purpose galore,
The parallelogram, simply, carries the floor.
From geometry to art, its angles they intrigue,
As a basis for patterns, its potential we can truly plug.
A forgotten form that deserves more acclaim,
Put the parallelogram on geometry's game!
This shape so underrated, rarely appreciated it seems,
But with logic and virtue, strong foundations it gleams.
The parallelogram, the parallelogram, Hooray!
This is why the parallelogram is the best shape, I say!
A cylinder has a height of 18 cm and a diameter of 12 cm. Calculate the surface area of the cylinder. Give your answer to the nearest integer.
The surface area of the cylinder is 905 square centimeters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 12 cm
Height, h = 18 m
This means that
Radius, r = 12/2 = 6 cm
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 6 * (6 + 18)
Evaluate
Surface area = 905
Hence, the surface area is 905 square centimeters
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An airplane is observed to be approaching the air point. It is at a distance of 12 km from the point of observation and makes an
angle of elevation of 50 degree. Find the height above the ground.
Answer:
The height is 14.3 km
Step-by-step explanation:
Given
\(distance= 12km\)
\(\theta= 50\) --- angle of elevation
Required
Determine the height above the ground
The question is illustrated using the attached image.
To calculate the required height, we make use of:
\(tan(\theta) = \frac{AB}{BC}\)
Where AB represents the height and BC, the distance.
So:
\(tan(50) = \frac{AB}{12}\)
Make AB the subject
\(AB = 12 * tan(50)\)
\(AB = 12 * 1.1918\)
\(AB = 14.3016\)
\(AB = 14.3km\) --- approximated
The height of the airplane above the ground is 9.19 km.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the airplane above the ground. Hence:
sin(50) = h / 12
h = 9.19 km
The height of the airplane above the ground is 9.19 km.
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1/2(x - 4) = 5
Thank you!
Answer:
x = 14
Step-by-step explanation:
1/2(x - 4) = 5 - Given
1/2x - (1/2 * 4) = 5 - Distribute
1/2x - 2 = 5 - Multiply 1/2 by 4
1/2x = 7 - Add 2 to both sides of the equation
x = 14 - Divide both sides of the equal by 1/2
9-(n+17) > 3(2n +9)
help..
Answer:
n<-5
Step-by-step explanation:
it doesn't seem like youve been paying attention to this
Answer:
n<-5
u should get the app m a t h w a y
Please I need help with this math problem!!!
Answer: y = 1/5x + 6
Step-by-step explanation:
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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prestige builders has a development of new homes.there are four different floor plans,seven exterior colors,and an option of either a two car or a three-car garage. How many choice are there for one home?
Answer:
there are 56 choices for one home
Step-by-step explanation:
plz give brainliest :)
Answer to this question prove by induction
Answer:
solution: \(Sn= \frac{a_{1} (1-q^{n} )}{(1-q)} = \frac{1(1-4^{n}) }{1-4} = \frac{4^{n}-1 }{3}\)
Step-by-step explanation:
This is a geometric series. Common ratio is 4.7 7/8 - 3 1/4 =? What’s the answer
Answer:
4 5/8
Step-by-step explanation:
7 7/8= 63/8
3 1/4= 13/4= 26/8
63/8 - 26/8= 37/8
37/8= 4 5/8
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
is it true that two pairs of adjacent sides of a kite are equal
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
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Use the table to answer the question that follows.
ROR Portfolio 1 Portfolio 2 Portfolio 3
3.9% $1,250 $950 $900
1.7% $575 $2,025 $2,350
10.6% $895 $1,185 $310
−3.2% $800 $445 $1,600
8.1% $1,775 $625 $2,780
Calculate the weighted mean of the RORs for each portfolio. Based on the results, which list shows a comparison of the overall performance of the portfolios, from best to worst?
Portfolio 1, Portfolio 3, Portfolio 2
Portfolio 2, Portfolio 3, Portfolio 1
Portfolio 1, Portfolio 2, Portfolio 3
Portfolio 3, Portfolio 2, Portfolio 1
Answer:
C) Portfolio 1, Portfolio 2, Portfolio 3
Step-by-step explanation:
\(\boxed{\begin{minipage}{5 cm}\underline{Weighted Mean Formula}\\\\$ \overline{x}=\dfrac{\displaystyle\sum^{n}_{i=1}x_iw_i}{\displaystyle\sum^{n}_{i=1}w_i}$\\\\\\where:\\\phantom{ww} $\bullet$ $x_i$ is the data value\\\phantom{ww} $\bullet$ $w_i$ is the weight\\\end{minipage}}\)
To calculate the weighted mean of the RoR for each portfolio:
Multiply the RoR (xi) in decimal form by the corresponding amount invested (wi).Sum the values calculated in step 1.Divide the sum from step 2 by the sum of the amounts invested (in that portfolio).Portfolio 1
\(\implies \overline{x}=\dfrac{1250 \cdot 0.039+575 \cdot 0.017 + 895 \cdot .0106 + 800 \cdot -0.032 + 1775 \cdot 0.081}{1250+575+895+800+1775}\)
\(\implies \overline{x}=\dfrac{271.57}{5295}\)
\(\implies \overline{x}=0.051288075...\)
\(\implies \overline{x}=5.13\%\;\; \sf (2 \;d.p.)\)
Portfolio 2
\(\implies \overline{x}=\dfrac{950\cdot 0.039+2025\cdot 0.017 + 1185\cdot .0106 + 445\cdot -0.032 + 625\cdot 0.081}{950+2025+1185+445+625}\)
\(\implies \overline{x}=\dfrac{233.47}{5230}\)
\(\implies \overline{x}=0.0446405353...\)
\(\implies \overline{x}=4.46\%\;\; \sf (2 \;d.p.)\)
Portfolio 3
\(\implies \overline{x}=\dfrac{900\cdot 0.039+2350\cdot 0.017 + 310\cdot .0106 + 1600\cdot -0.032 + 2780\cdot 0.081}{900+2350+310+1600+2780}\)
\(\implies \overline{x}=\dfrac{281.89}{7940}\)
\(\implies \overline{x}=0.0355025188...\)
\(\implies \overline{x}=3.55\%\;\; \sf (2 \;d.p.)\)
The RoR (rate of return) is the net gain (or loss) of an investment over a specified time period, expressed as a percentage of the investment's initial cost.
Therefore, based on the weighted means of the RoRs for each portfolio, the best to worst portfolios are:
Portfolio 1, Portfolio 2, Portfolio 3(as Portfolio 1 has the highest RoR and Portfolio 3 has the lowest RoR).
The mechanic does 6 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?????
I need the answer ASAP please. I would appreciate the help
Answer:
a) 293 units
b) 5795p
Step-by-step explanation:
First, determine how many units used
Take the new reading and subtract the old reading
6538 - 6245
293 units
The first 200 is at 22p
200 * 22 p =4400p
293 -200 = 93 units at the remaining unit price.
93 * 15 p =1395p
Add the two totals together
4400p + 1395p =5795p
In a certain school, the probabilities of the number of students who are reported tardy are shown in the following table:
Number tardy: 0 1 2 3 4
Probability: 0.19 0.22 0.37 0.18 0.04
What is the expected number of tardies (rounded to two decimal places)?
the expected number of tardies is 1.66, rounded to two decimal places.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, In a certain school, the probabilities of the number of students who are reported tardy are shown
Number tardy: 0 1 2 3 4
Probability: 0.19 0.22 0.37 0.18 0.04
The expected number of tardies can be calculated by multiplying each possible number of tardies by its probability and then summing up the results. That is:
Expected number of tardies = (0 × 0.19) + (1 × 0.22) + (2 × 0.37) + (3 × 0.18) + (4 × 0.04)
Simplifying the expression, we get:
Expected number of tardies = 0 + 0.22 + 0.74 + 0.54 + 0.16
Expected number of tardies = 1.66
Therefore, the expected number of tardies is 1.66, rounded to two decimal places.
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Evaluate 4x-6y when x=-3 y=-1
Answer:
First we substitute
4(-3) - 6(-1)
-7 -6
-13
Step-by-step explanation:
Find a solution to the linear equation y=−x+7 by filling in the boxes with a valid value of x and y.
Explanation:
This equation represents a line, so there are many points that are a solution to it. We just have to pick one value of x, replace it into the equation and find y:
\(\begin{gathered} y=-x+7 \\ \text{ using x = 1:} \\ y=-1+7=6 \end{gathered}\)Answer:
A solution is (6) = - (1) + 7
Ullany TVd How much 20k stamps can #2.00 buy
Answer: 4000
Step-by-step explanation:
Roland has built a circuit, and is using a device called an
ammeter to measure how quickly electrical current is flowing
through the circuit. He calculates that the current should be
0.180 amps, but he measures the current as 0.173 amps. What
is Roland's percent error?
Roland's percent error is approximately 3.889%.
This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.
The positive sign indicates that Roland's measured value is slightly lower than the actual value.
To calculate Roland's percent error, we can use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100
Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:
Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100
Simplifying the expression within the absolute value:
Percent Error = (|-0.007| / 0.180) \(\times\) 100
Since the absolute value of -0.007 is 0.007, we have:
Percent Error = (0.007 / 0.180) \(\times\) 100
Calculating the division:
Percent Error = 0.03889 \(\times\) 100
Percent Error = 3.889%.
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