The inequality x² + 2x - 168 ≤ 0 can be used to determine the possible lengths of the base of a triangle when the height is 4 inches greater than twice the base and the area is no more than 168 square inches.
To find the possible lengths of the base of a triangle where the height is 4 inches greater than twice the base and the area is no more than 168 square inches, we start with the formula for the area of a triangle:
Area = (1/2) × base × height.
Let the base be x. Thus, the height can be expressed as 2x + 4. Therefore, the area equation becomes:
(1/2) × x × (2x + 4) ≤ 168
To simplify this, multiply both sides by 2:
x(2x + 4) ≤ 336
Expanding and rearranging the terms gives:
x² + 4x ≤ 336
Subtract 336 from both sides to form a quadratic inequality:
x² + 4x - 336 ≤ 0
Divide the entire inequality by 2 to simplify:
x² + 2x - 168 ≤ 0
This is the inequality that can be used to find the possible lengths of the base of the triangle.
Which statements about Earth’s core help explain Earth’s magnetic field? Check all that apply.
Earth’s core is composed of magnets.
The inner core is solid.
The outer core is solid.
The inner core is liquid and moving.
The outer core is liquid and moving.
Earth’s core is composed of iron and nickel.
Answer:
The inner core is solid.
The outer core is liquid and moving.
Earth’s core is composed of iron and nickel.
Explanation:
Convection currents are produced in the outer liquid core. This motion together with the Earth's rotation creates a system of electrical currents, since it is composed of metals such as iron and nickel. The magnetic fields generated by the electric currents align, creating the Earth's magnetic field. The solid inner core acts as a stabilizer of the magnetic field generated by the liquid outer core.
Can someone please help me how to set this up?
A police car receives a radio call to catch a vehicle which is speeding down the highway at 80 mph. The police car, which is 12 miles away, drives after it at 108 mph. How long will it take for the police car to catch up? ...?
Answer:
The time is 0.428 hr.
Explanation:
Given that,
Final speed = 108 mph
Initial speed = 80 mph
Distance = 12 miles
We need to calculate the time
Using formula of time
[tex]v = \dfrac{d}{t}[/tex]
d = distance
t = time
Put the value into the formula
[tex]108-80=\dfrac{12}{t}[/tex]
[tex]t = \dfrac{12}{108-80}[/tex]
[tex]t =0.428\ hr[/tex]
Hence, The time is 0.428 hr.
Particle A and particle B are held together with a compressed spring between them. When they are released, the spring pushes them apart, and they then fly off in opposite directions, free of the spring. The mass of A is 2.00 times the mass of B, and the energy stored in the spring was 68 J. Assume that the spring has negligible mass and that all its stored energy is transferred to the particles. Once that transfer is complete, what are the kinetic energies of each particle?
you did 150 joules of work lifting a 120 -N backpack.
how high did you lift the backpack?
how much did the backpack weigh in pounds
The backpack was lifted 1.25 meters high, and it weighed approximately 26.977 pounds.
To determine how high you lifted the backpack, we can use the formula for work done against gravity, which is W = F × h, where W is work (in joules), F is force (in newtons), and h is height (in meters). Since you did 150 joules of work to lift a 120-N backpack, we can rearrange the formula to solve for height (h): h = W / F = 150 J / 120 N = 1.25 meters. You lifted the backpack 1.25 meters high.
To find out how much the backpack weighed in pounds, we use the conversion factor that 1 newton is approximately equal to 0.224809 pounds. Therefore, 120 N × 0.224809 lb/N = 26.977 pounds. The backpack weighed approximately 26.977 pounds.
Does gravity increase or decrease with greater distance?
The efficiency of a screw is low because of _____.
width
friction
length
height
Answer:
The efficiency of a screw is low because of friction.
Explanation:
A screw is a simple machine that is used to convert a torque to linear force and rotational motion to linear motion. The efficiency of a screw is given by :
[tex]\eta=\dfrac{Fl}{2\pi T}[/tex]
Where
l = pitch distance in mm
T = torque in N-m
The efficiency of screw is less because the output is less as compared to input or there is more input than output. This implies that there is more friction.
Hence, the correct option is (b) "friction".
What is the sequence of energy transformations associated with a hydroelectric dam?
The theory of plate tectonics developed in part from an earlier hypothesis about how continents move. What is the name of this earlier hypothesis?
A.
continental drift
B.
earthquake development
C.
natural selection
D.
evolution
its A i know my science
A 70kg divers steps off of a 10m tower and drops from rest straight into the water. If he comes to rest 5m beneath the surface, determine the average resistance force exerted on him by the water.
First, we need to calculate the total distance that the diver travelled. The diver jumped off a 10-meter tower and went 5 meters under the water. Therefore, the total distance travelled by the diver is 10 meters (from the tower) plus 5 meters (underwater), which equals 15 meters.
Next, we will determine the work done on the diver. The work done is equal to the change in potential energy, which can be calculated by multiplying the diver's mass by gravity and then by the total distance the diver travelled. Given that the diver's mass is 70kg and the acceleration due to gravity is 9.8m/s², the work done is 70kg * 9.8m/s² * 15m, which equals 10290 Joules.
Finally, we'll find the average resistance force exerted on the diver by the water. The work done on the diver is also equal to the average force times the distance. Therefore, the average force is the work done divided by the distance. When you divide the work done (10290 Joules) by the total distance travelled (15 meters), you get an average force of 686 Newtons.
Hence, the total distance travelled by the diver in water is 5 meters, the work done on the diver is 10290 Joules, and the average resistance force exerted on the diver by the water is 2058 Newtons.
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The gravitational force between a satellite and Earth’s moon is 324 N. The mass of the moon is 7.3 × 1022 kg. If the distance from the moon to the satellite is 2.6 × 106 m, what is the mass of the satellite?
Answer:
449.824 kg
Explanation:
F = Gm₁m₂/r²
Above equation can be used to find the gravitational force between two objects.
Here F is the Gravitational force. m₁ , m₂ are the masses of the objects and r is the distance between the objects. Let's take m₁ as the mass of the moon. Then m₂ is the mass of the satellite.
We are given that F = 324 N , m₁ = 7.3 * 10²²kg and r = 2.6 * 10 ⁶m.
324 = 6.67×10⁻¹¹ × m₁ × 7.3×10²² / (2.6 × 10⁶)²
m₁ = 449.824 kg
Answer:
answer above is right just round its 450kg
Explanation:
Galileo discovered that the orbits in which planets move around the Sun are elliptical.
True or False
Galileo discovered that the orbits in which planets move around the Sun are elliptical.
false
Answer: False
Explanation:
Galileo proved the heliocentric model by studying the position of Venus. He believed the sun to be center and all other bodies revolved around it in circular orbits which was disproved by Kepler. Kepler developed laws of planetary motion. One of which states that planets revolve around Sun in elliptical orbits with Sun at one of its foci. Thus, the given statement is false.
what units is length in
When an electric current passes through water, _____ takes place, breaking down the compound into hydrogen and oxygen.?
What increases as sound waves increase in frequency?
pitch
amplitude
decibels
loudness
Answer: pitch
Explanation:
Pitch is the perception of the frequency of a sound: this means that pitch is directly proportional to the frequency of the sound.
Therefore, if the frequency of the sound wave increases, the pitch increases as well.
What happens when the electron moves from the first energy level to the second energy level?
Energy is absorbed, and an emission line is produced.
Energy is released, and an emission line is produced.
Energy is absorbed by the atom.
Energy is lost from the atom.
Which best describes the difference between internal and thermal energy?
Internal energy is the total potential and kinetic energies in a substance, and thermal energy is the part of internal energy that can be transferred to another substance. The answer on edge would be C.
The following graph shows the rates of decay for four parent isotopes. Based on the graph, which parent isotope most likely has a half-life of 13 billion years?
A
B
C
D
Answer:
A or B (mostly A)
Explanation:
After 14 billion years, approximately 85% of the original parent isotope will still exist, compared to roughly 45% of parent isotope C, 12.5% of parent isotope B, and nearly none of the parent isotope A!
We know curve D represents the parent isotope with the longest half-life, and curve A represents the parent isotope with the shortest half-life!
We also know it cannot be D or C. So we are stuck with curves B and A! However, since parent isotope B has 12.5% parent isotopes left after 14 billion years(1billion years before the year we are talking about), and nearly none of the parent isotope A is left, this leads me to beleive that the answer is curve, or parent isotope, A!
I am sorry if i am wrong though.
Have a marvelous day!
A hydraulic press for compacting powdered samples has a large cylinder which is 10.0 cm in diameter, and a small cylinder with a diameter of 2.0 cm. A lever is attached to the small cylinder as shown in The sample, which is placed on the large cylinder, has an area of 4.0 cm2.
What is the pressure on the sample if F = 270 N is applied to the lever?
The hydraulic pressure on sample is [tex]3.35*10^{7} N/m^{2}[/tex].
What is hydraulic pressure?Hydraulic pressure is the force imparted per unit area of a liquid on the surfaces which it has contact.
The magnitude of force acting on the small cylinder is equal to [tex]F_{N}[/tex].
In static equilibrium, all the torques should add up to zero:[tex]F_{N}l - 270(2l)= 0\\F_{N} = 270(2)\\F_{N} = 540 N[/tex]
The pressure applied to the fluid (through the small cylinder):
[tex]P= \frac{540}{\pi (\frac{2*10^{-2} }{2} )^2}[/tex]
[tex]P = 1.71*10^{6} Pa[/tex]
The force of fluid on the large cylinder:
[tex]F= P\pi R^{3} \\F= 1.71*10^{6} \pi (0.05^{2} )\\F= 1.34*10^{4} N[/tex]
The pressure on the sample:
[tex]P_{S} =\frac{F}{A} \\P_{S}= \frac{1.34*10^{4} }{4*10^{-4} } \\P_{S}= 3.35*10^{7} N/m^{2}[/tex]
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J is the midpoint of The coordinates of J are (-8,7) and the coordinates of K are (3,4) find the coordinates of L. can someone help me? i get really confused with geometry and im trying to finish this final and im not sure how to solve this problem ...?
Which of the following best defines volume?
A. The amount of matter in a substance.
B. The shape of a sample of matter.
C. The amount of space that a sample of matter takes up.
D. The way that a substances atoms are arranged Which of the following best defines volume?
A. The amount of matter in a substance.
B. The shape of a sample of matter.
C. The amount of space that a sample of matter takes up.
D. The way that a substances atoms are arranged
Answer:
C. The amount of space that a sample of matter takes up.
Explanation:
Volume is defined as the 3 dimension shape which is enclosed by a closed surface. It is defined that the space which is occupied by the substance.
The volume is defined in the cubic units.
The volume of container generally is the classification of the amount of space which the substance hold rather than the space which is displaced by the container itself.
Volume is the amount of space that a sample of matter takes up.
Explanation:Volume is best defined as the amount of space that a sample of matter takes up. It is a measure of how much space an object occupies. Volume can be expressed in different units such as cubic meters, liters, or milliliters.
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T/F:Most of the energy we use today comes from renewable sources.
A brass washer has an outside diameter of 4.50 cm with a hole of diameter 1.25 cm and is 1.50 mm thick. The density of brass is 8599 kg/m3. If you put this washer on a laboratory balance, what will it "weigh" in grams?
Final answer:
The weight of the brass washer is 82.3 grams.
Explanation:
The weight of the brass washer can be calculated using its density and volume. The volume of the washer can be found by subtracting the volume of the hole from the volume of the outer cylinder. The formula for the volume of a cylinder is πr^2h, where r is the radius and h is the height.
Given that the outside diameter is 4.50 cm, the radius is half of that, which is 2.25 cm (or 0.0225 m). The height of the washer is 1.50 mm, which is 0.0015 m. Using these values, we can calculate the volume of the washer:
Volume = π(0.0225)^2(0.0015) = 9.5747 x 10^-6 m^3
Now, we can calculate the weight of the washer using its volume and density:
Weight = Volume x Density = 9.5747 x 10^-6 m^3 x 8599 kg/m^3 = 82.3 g
Final answer:
The weight of the brass washer on a laboratory balance would be 59.5 grams.
Explanation:
To find the weight of the brass washer, we need to calculate its volume and then multiply it by the density of brass. The volume of the washer can be found by subtracting the volume of the hole from the volume of the outside part of the washer.
The volume of the outside part of the washer can be calculated using the formula for the volume of a cylinder: V = π[tex]r^2[/tex]h. In this case, the radius (r) is half the outside diameter, so r = 4.50 cm / 2 = 2.25 cm = 0.0225 m. The height (h) is the thickness of the washer, which is 1.50 mm = 0.0015 m. Plugging these values into the formula gives us V = π(0.0225 [tex]m^2[/tex](0.0015 m) = 7.21 x [tex]10^{-6}[/tex] [tex]m^3[/tex].
The volume of the hole can also be found using the formula for the volume of a cylinder, since it is cylindrical in shape. The radius (r) of the hole is half the hole diameter, so r = 1.25 cm / 2 = 0.0125 m. The height (h) of the hole is the same as the thickness of the washer, which is 0.0015 m. Plugging these values into the formula gives us V = π(0.0125 [tex]m^2[/tex](0.0015 m) = 2.94 x [tex]10^{-7}[/tex] [tex]m^3[/tex].
Now, we can find the volume of the washer by subtracting the volume of the hole from the volume of the outside part: V_washer = 7.21 x [tex]10^{-6} m^3[/tex] - 2.94 x [tex]10^{-7} m^3[/tex] = 6.92 x [tex]10^{-6} m^3[/tex].
Finally, we can calculate the weight of the washer using the formula W = V_washer * density. Plugging in the values gives us W = 6.92 x [tex]10^{-6} m^3[/tex] * 8599 kg/[tex]m^3[/tex] = 5.95 x [tex]10^{-2}[/tex] kg = 59.5 g.
A 65kg person throw a 0.045kg snowball forward with a ground speed of 30m/s. A second person, with a mass of 60kg, catches the snowball. Both people on the skate. the first person is initially moving forward with speed of 2.5m/s, and the second person is initially at rest. what are the volocities of the two people after the snowball is exchanged? disregard friction between the skates and the ice
If you wanted to increase the gravitational force between two objects what would you do
it would decrease the distance
Which of the rays drawn above would be correct as the light goes from the air into the water?
A, B, or C ??
The correct answer you are looking for is "A". Have a great day!
Answer:a
Explanation:test
a moving truck has more __ energy than a parked truck
Final answer:
A moving truck has more kinetic energy than a parked truck.
Explanation:
In physics, potential energy is the energy that an object possesses due to its position or condition. When comparing a moving truck and a parked truck, the moving truck has more kinetic energy than the parked truck.
A force of 400 Newtons stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. After finding the equation of motion, calculate x(t = pi/12).
Suppose that two objects attract each other with a gravitational force of 16 units. If the distance between the two objects is doubled, what is the new force if attraction between the two objects?
Answer:
4
Explanation:
Which of the following is not a mineral?
A. Natural diamond
B. Coal
C. Gold
Fill in the blank:energy can never be created or destroyed, just ------- or --------