Answer:
C: 3x^2 + 7xy + 8y^2 + 3x – 9y + 5 = 0
The equation that represents an ellipse; 3x^2 + 7xy + 8y^2 + 3x – 9y + 5 = 0. so option C is correct.
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis,
then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: (h \pm c, k) where c^2 = a^2 - b^2
If its major axis is parallel to y-axis.
The equation that represents an ellipse;
3x^2 + 7xy + 8y^2 + 3x – 9y + 5 = 0
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(a) One ball is selected at random from the bag.
Write down the probability that it is numbered 8
(b) On another occasion, two balls are selected at random from the bag.
Find the probability that:
(i) the number on each ball is even,
(ii) the sum of the numbers on the balls is not more than 10.
Answer:
a) The probability is 1/5
bi) The probability each ball is even will be 2/5
bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25
(that's what I think it is)
what is y^6 times y ^5
Answer:
Y^11
Step-by-step explanation:
since their the same base “y” add the exponents
6 + 5 = 11
Find the missing length. If needed, round to the nearest tenth.
B
7
E
3
G
The value of x is 2
Answer:
Step-by-step explanation:
AB = BG
10 = 7+x
x = 3
7 is 25% of what number? HELP WILL GOVE LOT POINTS
Answer:
28
Step-by-step explanation:
if 25% of X is 7, then that means (1/4)x =7
4*(1/4)x=7*4 = 1x=28
1/5 ÷ 7 = ______________________________
Answer:
1/35
Step-by-step explanation:
1/5*7 = 1/35
can someone help me with this?
Let n = number of gum packs he buys.
After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:
[tex]30-12-4n\geq 0[/tex]
Simplify by subtracting 30-12:
[tex]18-4n\geq 0[/tex]
Subtract 18 from both sides:
[tex]-4n\geq -18[/tex]
Divide both sides by -4 (flip the sign when you multiply or divide by a negative):
[tex]n\leq 4.5[/tex]
You can only buy a whole number of gum packs, so:
[tex]n\leq 4[/tex]
Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke
HELP! 30 PTS!!!!! WILL GIVE BRAINLY IF CORRECT!!
Find the volume of a hexagonal pyramid with a base area of 25 square inches and a height of 9 inches.
4. Find the volume of a cone with a height of 30cm and a base diameter of 24cm.
5. Mary has a cube with side lengths that measure 5 units and James wants to make a cube that is 3 times the length of Mary's cube. How will the volume of James' cube compare to Mary's? Be very specific.
Problem 3
Answer: 75 cubic inches-----------------------------
Explanation:
It doesn't matter what shape the base is, so the fact it's a hexagon isn't useful info here. What is useful is that the area of the base is 25 square inches.
We multiply this base area by the height, and then divide by 3 to get the volume of the pyramid.
V = (BaseArea*height)/3
V = (25*9)/3
V = 75 cubic inches
==========================================================
Problem 4
Answer: Exact volume = 1440pi cubic cmApproximate volume = 4521.6 cubic cmThe approximate volume is found by using pi = 3.14
-----------------------------
Explanation:
We apply this formula to find the volume of a cone
V = (1/3)*pi*r^2*h
In this case, r = 12 is the radius (half the diameter) and h = 30 is the height.
So,
V = (1/3)*pi*12^2*30
V = (1/3)*pi*4320
V = (1/3)*4320*pi
V = 1440pi ...................... exact volume in terms of pi
V = 1440*3.14
V = 4521.6 ....................... approximate volume if you use pi = 3.14
==========================================================
Problem 5
Answer: 27 times larger volume-----------------------------
Explanation:
Mary's cube has side lengths of 5 inches, so the volume of this cube is 5*5*5 = 5^3 = 125 cubic inches.
James then wants to triple the side lengths of her cube to have a new larger cube that has side lengths of 3*5 = 15 inches. The volume of this new larger cube is going to be 15*15*15 = 15^3 = 3375
To compare the two volumes, we'll divide the larger over the smaller
(larger volume)/(smaller volume) = (3375)/(125) = 27
This number 27 is due to cubing the value 3, ie 3^3 = 3*3*3 = 27
So the larger cube is 27 times larger compared to the smaller cube.
As another example, let's say he wanted to only double the side lengths. This would mean the larger volume is 8 times larger, since 2^3 = 2*2*2 = 8. Whatever the linear scale factor is, cube it and you'll get the volume scale factor.
what is the distance between points M(-3, 1)and N(7, -3)
Answer:
d = 2√29 units
Step-by-step explanation:
M(-3, 1)and N(7, -3)
To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values.
d = √[(7 - (-3))² + (-3 - 1)²]
Simplify the parentheses.
d = √[(7 + 3)² + (-4)²]
d = √[(10)² + (-4)²]
Simplify the exponents
d = √[(100 + 16)]
Simplify the parentheses by adding.
d = √[116]
Simplify the brackets with the square root.
Since 116 is not a perfect square, we need to find two numbers that multiply to 116. One number must be a perfect square. The other must be a prime number.4 • 29 = 116. Therefore √4 • √29 = √116√4 = 2. Therefore 2√29 = √116d = 2√29 units
Hope this helps!
X Y
15 3
25 5
35 7
45 9
50 10
y =
Answer:
12,14,15
Step-by-step explanation:
WILL MARK BRAINLIEST
Can someone please check my answer, if it’s wrong please correct me
Answer:
Yes
Step-by-step explanation:
It is symmetrical on the y-axis so must be.
Answer:
correct
Step-by-step explanation:
How many triangles can be constructed with angles measuring 50º, 90º, and 40º?
Answer:
Infinite
Step-by-step explanation:
We know that in a triangle the sum of all the interior angles must be 180°.
The given angles 50º, 90º and 40º
The sum of the angles 50º+ 90º + 40º= 180°
Thus, a triangle is possible with the given measurement.,
Let there is another triangle with the given angles, then by AAA similarity criteria they are similar.
Similarly, all the triangles with the same measurements of the angles must be similar.
Therefore, there are infinite number of triangles can be possible with angles measuring 50º, 90º, and 40º.
The complement of an angle is 25°. What is the measure of the angle?
Group of answer choices
65°
75°
155°
165°
Answer:
If the complement of an angle is 25 degrees, then the measurement of the angle will be 65 degrees.
Pamela's age is two times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answer:
28
Step-by-step explanation:
28 times 2 = 56
28 times 1 = 28
56 + 28 = 84
Which is the equation of a line perpendicular to y = 5x – 3?
Solve for x&y, y=3x-4 & y= 2x + 1
Please show step by step how you got the answer
Answer:
(5, 11 )
Step-by-step explanation:
Given the 2 equations
y = 3x - 4 → (1)
y = 2x + 1 → (2)
Substitute y = 3x - 4 into (2)
3x - 4 = 2x + 1 ( subtract 2x from both sides )
x - 4 = 1 ( add 4 to both sides )
x = 5
Substitute x = 5 into either of the 2 equationsfor corresponding value of y
Substituting into (2)
y = 2(5) + 1 = 10 + 1 = 11
solution is (5, 11 )
Answer:
This is a system. put the first equation under the second one and subtract. y - y = 0. 2x - 3x = -x. 1 - (-4) = 5. so the result is 0 = -x +5 or x = 5. plug x into either equation and y = 11. the answer is (5, 11).
Which surveys would a sample be appropriate for? Mark all that apply.
A. Helen wants to know the favorite sport of adults in her town.
B. Caleb wants to know the type of music his current teachers like.
C. Jaclyn wants to know the average weight of her sisters' backpacks.
D. Kevin wants to know the most common way students get to school.
E. Roberto wants to know the average height of the people sitting at his table.
Answer:
a d
Step-by-step explanation:
Answer:
..............................
Step-by-step explanation:
A contestant on a game show has 60 points. She answers a question correctly to win 30 points. The she
answers a question incorrectly and loses 55 points. What is the contestant's final score?
What’s the answer?
Answer:
30+15=45
45-25=20
The contestants final score is 20
Step-by-step explanation:
Answer:
25/5
Step-by-step explanation:
i really doubt in both of 'em
Log(x+4)=8
Please help I don’t understand it I will give brainliest
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
The two triangles are related by
, so the triangles
.
9514 1404 393
Answer:
yes, the triangles are congruent -- by the SAS congruence postulate
Step-by-step explanation:
Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.
The two triangles are SAS congruent.
Cindy has a salary of $880 per week and is paid every two weeks. She has the following deductions from each paycheck: Federal income taxes: $195.82 State income taxes: $63.60 Insurance: $65.18 FICA: $134.64 Retirement plan: $176 What is Cindy's net income on each paycheck? Enter your answer as a number rounded to the nearest cent, such as: 150.12.
Answer:
244.80 If I'm not wrong.
Step-by-step explanation:
Add all of the deductions together and subtract them by 880
By using g00gle I found out that 195.82 + 63.60 + 134.64 + 176.00 = 635.24.
So now you subtract it by her salary down below:
880.00 - 635.24 = 244.76
244.80 or 245 if I'm not wrong
Cindy's net income on each paycheck will be $244.76.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given;
Federal income taxes: $195.82
State income taxes: $63.60
Insurance: $65.18
FICA: $134.64
Retirement plan: $176
Add all of the deductions together;
195.82 + 63.60 + 134.64 + 176.00 = 635.24.
So now we will subtract it by her salary down below:
880.00 - 635.24 = 244.76
Hence, Cindy's net income on each paycheck will be $244.76.
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To start a board game the player who rose to sixes gets to go first what is the probability that a buyer will roll to number cubes and get to sixes
Answer:
the probability in which the buyer would roll to get two sixes is 1 ÷ 36
Step-by-step explanation:
The computation of the probability in which the buyer would roll to get two sixes is shown below:
= 1 ÷ (6 × 6)
= 1 ÷ 36
Hence, the probability in which the buyer would roll to get two sixes is 1 ÷ 36
If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c?
Answer: The product of a b and c is 0.
Step-by-step explanation:
The given expression : [tex]2xy^{-2}{4xy^2}[/tex]
[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]
[tex]=8x^2y^0[/tex]
When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0
The product of a, b and c = [tex]a\times b \times c[/tex]
[tex]=8\times2\times0\\\\=0[/tex]
The product of a b and c is 0.
Kylie is planning a ski trip. The equation C = 470 +299 models the relation between the cost in dollars, C, of the ski trip and the number of skiers,
Answer:
So what exactly is the question? bc it doesn't actually show a question
Step-by-step explanation:
divide 470 by 299 and then that should be your answer on the number of skiers
Did I do this correctly??
Answer:
yes
Step-by-step explanation:
Can someone please help me with this?
9514 1404 393
Answer:
162.46 square units
Step-by-step explanation:
The area of a sector of arc b (in radians) is ...
A = 1/2r²b
A = (1/2)(9.6²)(202·π/180) = 162.46 . . . square units
Jackie is buying crackers and wants to know how many crackers are in the box. The box is 8 cm long, 2.4 cm wide, and 60 cm high. The dimensions of the crackers are 3cm long, 4 cm wide, and 5 cm high. How many crackers are in the box? Round to the nearest whole number. Geometry
Answer:
19
Step-by-step explanation:
Number of crackers that can be fit into the box = volume of the box / volume of crackers
Volume = length x width x height
volume of the box = 8 cm x 2.4 cm x 60 cm = 1152 cm^3
Volume of the crackers = 3cm x 4 cm x 5cm = 60cm^3
1152/60 = 19.2
Rounding 19.2 to the nearest whole number gives 19
2+2= need to kno thank you
Answer:
Yay thanks for the free points I really! appreciate u!!
have a good day sir or ma'am. And 2+2 = 2+2
;-; :))
Which is the correct input-output table for the function f(x) = 3x2 - 1+4?
O
0
f(2)
14
9
1
2
3
14
20
O
0
4
1
2
3
8
18
34
Answer:
the question is incorrect. please write your points as coordinates or scan the diagram.
PLS HELP 100 POINTS!!!!!
Question 1 (1 point)
Saved
In which direction does an applied force move an object?
Question 1 options:
in the same direction as the force
independent of the force
in the opposite direction of the force
perpendicular to the force
Question 2 (1 point)
Which is not an example of work?
Question 2 options:
picking up a box off the floor
pushing a box across the floor
raising a barbell over your head
trying to push a rock that never moves
Question 3 (1 point)
A student pushes a 50-N box across the floor a distance of 15m. How much work was done to move the box?
Question 3 options:
750 J
75J
7500 J
no work was done
Question 4 (1 point)
If the simple machine reduces the amount of force, what must be increased? (Think of using an inclined plane)
Question 4 options:
the size of the simple machine
the distance over which the force is applied
the work the simple machine performs
the speed of the input force
Question 5 (1 point)
What is an input force?
Question 5 options:
the applied force on a system
the force a simple machine applies to an object
the force a person applies to a simple machine
the net force on a system
Question 6 (1 point)
A pair of scissors is which category of lever?
Question 6 options:
1st class
2nd class
3rd class
4th class
Question 7 (1 point)
A screw is an inclined plane wrapped around a flat, middle object.
Question 7 options:
True
False
Question 8 (1 point)
An example of a 3rd class lever is a
Question 8 options:
pair of scissors
pulley
pair of pliers
pair of tweezers
Question 9 (1 point)
Power is the rate at which work is done?
Question 9 options:
True
False
Question 10 (1 point)
The SI unit for power is
Question 10 options:
Newtons (N)
Celsius (C)
Watts (W)
Joules (J)
Question 11 (1 point)
A box resting on the top of a bookcase is an example of
Question 11 options:
work
nuclear energy
potential energy
kinetic energy
Question 12 (1 point)
The energy of position is kinetic energy.
Question 12 options:
True
False
Question 13 (1 point)
The energy of motion is kinetic energy.
Question 13 options:
True
False
Question 14 (1 point)
An object that is dropped has the most kinetic energy...
Question 14 options:
When it starts to fall
Just before it hits the ground
It does not have kinetic energy
Resting on the shelf
Question 15 (1 point)
An object resting on top of a building has the most potential energy...
Question 15 options:
Before it starts moving
When it stops moving
Just before it stops moving
Objects cannot have potential energy
Question 16 (6 points)
Match each word with its correct SI Unit or equation
Question 16 options:
Watts (W)
Newtons (N)
Displacement/Time
Celsius (C)
Distance/Time
Joules (J)
1.
Temperature
2.
Work
3.
Force
4.
Power
5.
Velocity
6.
Speed
Question 17 (1 point)
Atmosphere is the layer of gases that surround the Earth.
Question 17 options:
True
False
Question 18 (1 point)
The gas that makes up most of Earth's atmosphere is oxygen.
Question 18 options:
True
False
Question 19 (1 point)
High pressure brings clear, sunny skies, and calm weather. It is represented by H on the weather maps.
Question 19 options:
True
False
Question 20 (1 point)
Which clouds are fluffy, dense clouds composed of water droplets?
Question 20 options:
Stratus
Nimbus
Cirrus
Cumulus
Answer:
Question 1: in the same direction as the force
Question 2: trying to push a rock that never moves
Question 3: 750 J
Question 4: the distance over which the force is applied
Question 5: The force a person applies to a simple machine
Question 6: 1st Class
Question 7: True
Question 8: pair of tweezers
Question 9: True
Question 10: Watts (W)
Question 11: potential energy
Question 12: False
Question 13: True
Question 14: When it starts to fall
Question 15: Before it starts moving
Question 16: Power and watts
/force and newton
/Work and Joules
/Temperature and Celsius
/Speed and distance/time
/Velocity and displacement an time
Question 17: True
Question 18: False
Question 19: True
Question 20: Cumulus
Step-by-step explanation:
The force applied moves the object in the direction of the force. Suppose if the force is applied to the moving object in that case object moves in the direction of the stronger force. Thus, according to the given question the applied force moves the object in its direction
Work is when there is energy that is exerted throughout an object using force and action. Which displaces the measure of the force and the application of that specific action.
Given:
Force applied F = 50 N
Distance s = 15 m
Find:
Work done W
Computation:
Work done W = Force x distance
Work done W = 50 x 15
Work done W = 750 J
A Pair of tweezers is an example of a Third Class lever. The force is applied in the middle of the tweezers which causes a force at the tips of the tweezers. The fulcrum is where the two halves of the tweezers are joined together. Whereas a pair of scissors and a pair of pliers is an example of a first class lever.
Power is the rate of using energy or the rate of doing work. Basically, any units of energy (or work) and time can be used to generate a unit of power and can be computed as Work/time. Watt is the standard metric unit of power.
We can use a case scenario to illustrate what Power is. If you take a book and lift it a meter high, you will end up doing the same amount of work regardless of whether you lift the book slowly or quickly. However, you can increase your power which is the rate of doing work when you lift the book quickly.
Power (P) is the rate at which energy is transferred or converted. Thus, power equals work divided by time (P = W / t). The SI unit of power is the watt (W), in honor of Scottish inventor James Watt (1736 - 1819)
energy which a body possesses by virtue of being in motion is kinetic
Kinetic energy is when an object has the power to move, Potential energy would be when its resting on the shelf.
Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere. It contains the oxygen that we breath as well as other important gases such as nitrogen, carbon dioxide, water vapor, and ozone.
The permanent gases whose percentages do not change from day to day are nitrogen, oxygen and argon. Nitrogen accounts for 78% of the atmosphere, oxygen 21% and argon 0.9%. Gases like carbon dioxide, nitrous oxides, methane, and ozone are trace gases that account for about a tenth of one percent of the atmosphere.
Weather maps show these areas using a large “H” to areas bring fair weather with clear skies, while Low pressure brings stormy weather and clouds.
Cumulus clouds look like fluffy, white cotton balls in the sky. They are beautiful in sunsets, and their varying sizes and shapes can make them fun to observe! Stratus cloud often look like thin, white sheets covering the whole sky.
surface area - multi step
Answer:
£208
Step-by-step explanation:
Given:
Height of solid box (h) = 20 cm
Width (w) = 80 cm
Length (l) = 10 cm
Cost of paint = £0.04 per cm²
Required:
Cost of painting the box
Solution:
✔️First, find the surface area of the box
Surface area = 2(l*w + l*h + w*h)
S.A = 2(10*80 + 10*20 + 80*20)
S.A = 2(800 + 200 + 1,600)
S.A = 2(2,600)
S.A = 5,200 cm²
✔️Find the cost of painting 5,200 cm² surface area of the box.
Cost of pianting 1 cm² = £0.04
Cost of painting 5,200 cm² = 5,200 × 0.04
Cost of painting the box = £208