please write with good handwriting.
Given the following triangle, find the angle A using the appropriate sine or cosine 5.3 7 A=? law: 8.2 Given the following triangle, find the length of side x using the appropriate sine X 101° 38° o

Answers

Answer 1

The angle A using the appropriate sine or cosine law is 43.29 degrees.

To find angle A, we can use the cosine law, which states that $a^2 = b^2 + c^2 - 2bc \cos{A}$. We have $b=5.3$, $c=7$, and $a=8.2$, so we can plug in and solve for $\cos{A}$:$$8.2^2 = 5.3^2 + 7^2 - 2(5.3)(7) \cos{A}$$$$\cos{A} = \frac{8.2^2 - 5.3^2 - 7^2}{-2(5.3)(7)} = 0.509$$$$A = \cos^{-1}{(0.509)} \approx 43.29^\circ$$The length of side x using the appropriate sine X is 61.32 units.

We can use the sine law, which states that $\frac{a}{\sin{A}} = \frac{b}{\sin{B}} = \frac{c}{\sin{C}}$. We know that $A=101^\circ$ and $a=x$, so we can use the ratio $\frac{a}{\sin{A}}$ to solve for $x$:$$\frac{x}{\sin{101}} = \frac{c}{\sin{38}}$$$$x = \sin{101} \cdot \frac{c}{\sin{38}} \approx 61.32$$Therefore, the length of side x is approximately 61.32 units.

In geometry, the Cosine Decide says that the square of the length of any side of a given triangle is equivalent to the amount of the squares of the length of different sides short two times the result of the other different sides duplicated by the cosine of point included between them.

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Related Questions

A person removes a 8.45 kg object from a shelf that is 1.82 m above the floor. They lower the item at a constant velocity to another shelf that is 0.835 m above the floor. What is the work done by the person on the object?

A person removes a 8.45 kg object from a shelf that is 1.82 m above the floor. They lower the item at

Answers

Answer:

81.6 J

Explanation:

let the acceleration due to gravity = 9.8 m/s/s

W = F • s

F = newtons of force

s = distance travelled

the force to carry a mass is equal to mass multiplied by the acceleration due to gravity. This is confirmed using Sir Issac Newtons second and third law stating that the force of an object is equal to its mass multiplied by its acceleration (F = m • a) and that every action has an equal and opposite reaction, respectively. This means that the force of the object is equal to 8.45kg • 9.8 m/s/s, or 82.81 newtons of force.

F = 82.81 N

To find the distance displaced, you simply subtract 0.835m from 1.82m, giving a value of 0.985m.

s = 0.985m

Finally, in order to find work, you multiply 82.81 N by 0.985m resulting in a work equal to 81.6 J, after being rounded due to match the significant digits of the question.

SOMEONE HELP ME PLEASE

SOMEONE HELP ME PLEASE

Answers

Solids almost every single time
D liquids, hope it helps and sorry if its not correct!

I NEED ANSSWER IN THE NEXT 5 MINITES. OR NO BRAINLY REWARD.
a rock which has the mass of 25 kg is on a cliff 42 m high. Calculate the rocks potential energy. Given g = 10 m/s^2. NO FALSE ANSWERS ACCEPTED.

1,050 J
10,500 J
5,250 J
220,500 J

Answers

1050

Explanation:

you have to multiply 25kg time42m

Electroconvulsive therapy has been most successful in the treatment of:.

Answers

Given what we know, we can confirm that electroconvulsive therapy has been most successful in the treatment of major depression.

What is Electroconvulsive therapy?

This is a relatively new procedure. It involves the intentional triggering of brief seizures in the brain. This is done while the patient is under the effects of anesthesia and is therefore painless. These seizures cause a dynamic shift in the brain chemistry of the patients, leading to greatly reduced symptoms in over 80% of patients.

Therefore, we can confirm that electroconvulsive therapy has been most successful in the treatment of major depression.

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WORTH 50 POINTSSSS!!!!!!!! don't lie either if you do I will report your answer and get my points back idc !!!!!!

This political cartoon summarizes proposed legislation to stop immigration into the United States through the use of

A. Income


B. Military force


C. Building a barrier wall


D. Educational requirements

WORTH 50 POINTSSSS!!!!!!!! don't lie either if you do I will report your answer and get my points back

Answers

Answer:

C is the correct answer and i hope ur having a good day UwU

Explanation:

what force attracts protons inside a nucleus to each other? responses weak nuclear force weak nuclear force residual strong force residual strong force neutron neutron strong nuclear force

Answers

what force attracts protons inside a nucleus to each other is the residual strong force, also known as the nuclear force. This force is much stronger than the electromagnetic force, which would typically repel positively charged particles like protons.

what force attracts protons inside a nucleus to each other is the residual strong force, also known as the nuclear force. This force is much stronger than the electromagnetic force, which would typically repel positively charged particles like protons. The residual strong force is mediated by the exchange of particles called mesons between protons and neutrons in the nucleus. The weak nuclear force also plays a role in holding the nucleus together, but it is much weaker than the residual strong force.
that the force that attracts protons inside a nucleus to each other is the residual strong force.

The residual strong force, also known as the nuclear force, is responsible for binding protons and neutrons together in the nucleus of an atom. It is a residual effect of the strong nuclear force, which is the force that holds quarks together within protons and neutrons. The residual strong force is stronger than the electrostatic repulsion between protons, allowing the nucleus to remain stable.

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what element has the same number of valence electrons as tin?

Answers

Answer:

The element manganese has seven valence electrons. A tin atom has 50 electrons. Tin has 5 energy level because it is in the 5th row of the periodic table

Explanation:

because the internet said so

A student is sitting in a moving car. Through the car's window, the student sees a traffic
light at an intersection pass by and out of sight as the car travels down the road.
Which statement accurately describes the student's motion?
• The student is moving relative to the car’s window but not to the traffic light.
• The student is moving relative to the traffic light but not to the car’s window.
• The student is moving relative to both the car’s window and traffic light.
• The student is moving relative to neither the car’s window nor the traffic light.

Answers

Answer:

I believe it would be the first one "The student is moving relative to the cars window bunt not to the traffic light".

Explanation:

be cause he would be in the car so he would be moving with the car

You have 16 kg of a radioactive sample with a certain half-life of 15 years. How much is left after 60 years?A. 8 kgB. 4 kgC. 2kgD. 1kgE. nothing

Answers

Given 16 kg of a radioactive sample with a certain half-life of 15 years:

To determine how much of the 16 kg radioactive sample is left after 60 years with a half-life of 15 years, we will use the following steps:

1. Calculate the number of half-lives that have passed: 60 years / 15 years per half-life = 4 half-lives
2. Calculate the remaining sample amount using the formula: remaining amount = initial amount * (1/2)^number of half-lives
3. Apply the formula: remaining amount = 16 kg * (1/2)^4 = 16 kg * 1/16 = 1 kg

After 60 years, 1 kg of the radioactive sample is left. The correct answer is D. 1kg.

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Why Don't Birds Get Electrocuted When They Land on Electric Wires?

Answers

Answer:

There is a thick layer of rubber coating on the wires.

Explanation:

This isn't just the case with birds, your headphones, if you notice closely have a layer of rubber coating as well, to protect you from accidentally touching the wires inside and hurting yourself.

Think about what you already know. Why might two objects be affected differently if the same strength force is exerted on them?

Answers

Answer:Explanation:

If the same strength force is exerted on two objects, but the objects have the different masses, the object with less mass will have a greater change in velocity. ... Forces affect motion because they can change an objects motion.

The reason for two objects being impacted differently even a similar strength of the force is applied/exerted to them:

- Two objects might be affected differently on the application of a force of the same strength owing to the difference in their masses.

The second law of motion by Newton states that the rate of change of momentum of an object is directly proportional to the applied unbalanced force in the direction of the force.However, We know, Momentum = Mass × velocity.Hence, if the masses are different and the force applied is the same, the two objects will move with different velocities.

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What challenges do scientists face in studying the Sun?

Answers

Answer:

Explanation:

The sun sends out solar wind constantly - charged particles that can degrade visual sensors and the skin of spacecraft, and the occasional blast of a solar flare, which can send out clouds of charged ions that can disrupt communications and electronics on board probes and satellites.

Hope this Helps <3

1. The subatomic particle with no electrical charge is the
2. The subatomic particle with a positive charge is the
3. The subatomic particle with a negative charge is the
4. There are the same number of these two particles in an atom
&
5. The atomic number is the same as the number of

1. The subatomic particle with no electrical charge is the2. The subatomic particle with a positive charge

Answers

To understand the questions, one should know the structure of an atom.

An atom is made up of some subatomic particles. These particles are positively charged, negatively charged and neutral particles.

The positive and negative charged particles neutralize the atom and the neutral subatomic particles are neutrons.

The answer to the questions are as follows:

1. The subatomic particle with no electrical charge is the "neutron".

2. The subatomic particle with a positive charge is the "proton".

3. The subatomic particle with a negative charge is the "electrons".

4. There are the same number of these two particles in an atom are "electrons" & "protons".

5. The atomic number is the same as the number of "protons" in an atom.

To sum up, an atom has different particles such as protons, electrons and neutrons. With protons being the positively charged, electrons are negatively charged and neutrons are neutral. Neutrons and protons are found in the nucleus and the electrons are spread around the nucleus.

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Two pebbles are dropped into a pool of water as shown. If a new wave with a
greater amplitude results, which kind of wave interaction has occurred?

Two pebbles are dropped into a pool of water as shown. If a new wave with agreater amplitude results,

Answers

Answer:

Constructive interference

Explanation:

Answer:

C. Constructive interference

Explanation:

A 15 kg child slides down a 5 m tall (vertical) slide that is inclined to the horizontal 34°. Her velocity is 5 m/s at the bottom of the sled. How much mechanical energy was lost to friction?

Answers

ANSWER

547.5 J

EXPLANATION

Given:

• The child's mass, m = 15 kg

,

• The height of the slide, h = 5 m

,

• The velocity of the child at the bottom of the slide, v = 5 m/s

Find:

• The loss of mechanical energy due to friction

The loss of mechanical energy due to friction is the difference between the child's gravitational potential energy at the top of the slide, and the child's kinetic energy at the bottom of the slide,

\(PE-KE=mgh-\frac{1}{2}mv^2\)

Replace the known values and solve,

\(PE-KE=15kg\cdot9.8m/s^2\cdot5m-\frac{1}{2}\cdot15kg\cdot5^2m^2/s^2=735J-187.5J=547.5J\)

Hence, 547.5 Joules of energy were lost due to friction.

suppose you measure the recession velocity (the speed at which any object is moving away from us) of galaxy a to be 1000 km/s and the recession velocity of galaxy b to be 6000 km/s. what can you conclude about the relative distances of these two galaxies?

Answers

We can conclude that Galaxy B is farther away from us than Galaxy A. Galaxy B is about 6 times farther away than Galaxy A.

The recession velocity of a galaxy is proportional to its distance from us, according to Hubble's Law. Specifically, the recession velocity v is given by:

v = H*d

where,

H = Hubble constant, which represents the rate of expansion of the universe

d = distance of the galaxy.

Assuming a value of H = 70 km/s/Mpc (which is a commonly used value), we can use the recession velocities of galaxies A and B to compare their distances from us.

If galaxy A has a recession velocity of 1000 km/s, its distance from us can be calculated as:

dA = vA / H = 1000 km/s / 70 km/s/Mpc ≈ 14.3 Mpc

Similarly, if galaxy B has a recession velocity of 6000 km/s, its distance from us can be calculated as:

dB = vB / H = 6000 km/s / 70 km/s/Mpc ≈ 85.7 Mpc

Therefore, we can conclude that Galaxy B is farther away from us than Galaxy A. In fact, galaxy B is about 6 times farther away than galaxy A.

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How can gravity's role in tectonic plate motion be described? question 6 options: earth's magnetic field reverses ridge push and slab pull circulating material in the mantle earth's internal heating

Answers

Gravity's role in the tectonic plate motion can be described on the basis of ridge push and slab pull of tectonic plates.

What are ridge push and slab pull?

Ridge push refers to gravitational sliding. It is a driving force for plate motion in plate tectonics, occurring at mid-ocean ridges as the result of the rigid lithosphere sliding down the hot and raised asthenosphere below mid-ocean ridges.

Slab pull is a pulling force that is exerted by a cold and dense oceanic plate plunging into the mantle. The term for the process of a tectonic plate descending into the mantle is subduction. Subduction may emerge due to gravity.

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Which of the following is NOT a refrigerant metering device?
Choose one answer.
a. Low-pressure float
b. Automatic expansion valve
c. Thermostat
d. Capillary tube
e. High-side float

Answers

The thermostat is NOT a refrigerant metering device.

Determine the refrigerant metering device?

Refrigerant metering devices are components used in refrigeration systems to regulate the flow of refrigerant into the evaporator coil, controlling the cooling process. They ensure that the correct amount of refrigerant is supplied to achieve efficient and effective cooling.

Among the options provided, the thermostat is not a refrigerant metering device. The thermostat is a temperature-sensitive switch that controls the operation of the cooling system based on the desired temperature set by the user. It is responsible for turning the system on and off, rather than directly regulating the flow of refrigerant.

The other options listed—low-pressure float, automatic expansion valve, capillary tube, and high-side float—are all examples of refrigerant metering devices. These devices play a crucial role in maintaining the proper flow and pressure of refrigerant through the system, ensuring optimal cooling performance.

Hence, (c) Thermostat are not the refrigerant metering device.

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in science, whereas a hypothesis is a tentative explanation of an observation, a is a broader, well-tested explanation for a natural phenomenon backed by many lines of evidence.

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In science, a hypothesis is a tentative explanation of an observation, while a scientific theory is a broader, well-tested explanation for a natural phenomenon backed by multiple lines of evidence.

In the scientific method, a hypothesis is an initial explanation or proposed solution to a specific observation or problem. It is often based on limited evidence or previous knowledge and serves as a starting point for further investigation. A hypothesis is testable and can be supported or refuted through experimentation or further observations. It represents a possible explanation that requires empirical evidence to validate or invalidate its validity.

On the other hand, a scientific theory is a well-established and comprehensive explanation for a natural phenomenon that has been extensively tested and supported by multiple lines of evidence. Unlike a hypothesis, a scientific theory goes beyond a single observation or experiment. It encompasses a broad range of observations, experimental results, and logical reasoning. A scientific theory provides a framework that can explain and predict various related phenomena. It is subject to ongoing scrutiny and refinement, but its validity and acceptance are based on its consistency with empirical evidence and its ability to make accurate predictions.

In summary, while a hypothesis is a tentative explanation of an observation, a scientific theory is a broader and well-tested explanation that is supported by multiple lines of evidence and can account for a range of related phenomena.

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How is the answer D?

How is the answer D?

Answers

The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

What is the period of a wave?

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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PLEASE HELP ME
A laser beam is traveling from glass, n=1.76, to an unknown material. The incident angle is 25 degrees and the refracted angle is 35 degrees. Calculate the index of refraction for the unknown material.

Your Answer:

Answers

Answer:

The index of refraction can be calculated using Snell's law:

n1sin(theta1) = n2sin(theta2)

where n1 and theta1 are the index of refraction and angle of incidence in the first medium (glass), and n2 and theta2 are the index of refraction and angle of refraction in the second medium (unknown material).

Plugging in the given values:

1.76sin(25) = n2sin(35)

Solving for n2:

n2 = (1.76*sin(25))/sin(35)

n2 ≈ 1.29

Therefore, the index of refraction for the unknown material is approximately 1.29.

what's hemophilia. need it plz ASAP!!!​

Answers

Answer:

Hemophilia is a bleeding disorder that doesn't stop porperly

Explanation:

List five different ways velocity can change 

Answers

An object can change velocity in a number of ways: it can slow down, it can speed up, or can change direction. A change in speed, a change in direction, or a change in both speed and direction means that the object has a change in velocity.

Five Different ways are:

1. Displacement increases with time uniformly

2. Magnitude of velocity changes.

3. Direction of object changes.

4. Displacement increases with time non-uniformly

5. Both Magnitude and Direction changes

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rearrange the equation d=vt-1/2at^2 to find v

Answers

Explanation:

This is the formula for the change in distance (δx) of an object moving with constant acceleration (a) and initial velocity (v), one of the standard Equations of motion. To solve for t first rearrange

12at2+vt−δx=0

then apply the formula for solving a Quadratic equation if our equation is At2+Bt+C=0 then the solution is

t=−B±B2−4AC√2A,

here A=12a, B=v, C=−δx so plugging these in the formula gives

t=−v±✓v2−4(12a)(−δx)√2(12a) (Apply quandriatic equation)

simplifying

t=−v±v2+2aδx√a.

Note how there are two possible solutions one corresponding to the + and one to the -. Sometimes one of these will give a negative time, so you may want to eliminate that. Indeed if δx>0, v>0 and a>0 we only want the positive solution. In other cases you may want to consider both solutions, for instance if we thow a ball up in the air the initial velocity is positive and the acceleration is negative, it will pass a fixed height above your head twice, once on the way up and once on the way down.

significant figures, or 'sig figs' for short, are important for understanding the precision of a measurement device. if a measurement device, such as a speed sensor, measures 12.34 m/s, how many sig figs does that measurement contain?

Answers

The speed is given as 12.34 m/s. It contains 4 number of significant figures or sig figs.

The speed sensor measures the speed as 12.34 m/s.

The initial uncertain or estimated digit and all the digits known with certainty are referred to as the important figures of a measured amount. The first unknown digit is the last digit recorded in a measurement since it makes no sense to report any additional digits after it. When necessary, zeros are utilised to position the important figures correctly.

From the rules for deciding which digits in a measurement are significant, it is said that all non-zero digits in a measurement are significant.

12.34 m/s - contains all non-zero digits

Thus, it contains 4 sig figs.

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Which statement best defines an electric field?
A. force per unit charge on a negative source charge
B. force per unit charge on a negative test charge
C. force per unit charge on a positive source charge
D. force per unit charge on a positive test charge

Answers

D. Force per unit charge on a positive test charge.

Please select the word from the list that best fits the definition increases in the number of ______ can lead to warmer climates

Answers

The word from the list that best fits the definition increases the number of sunspots that can lead to warmer climates.

What is a sunspot?

Sunspots are transitory spots on the Sun's photosphere that appear to be deeper than the surrounding areas.

They are zones of reduced surface heat caused by magnetic field flux concentrations that prevent convection.

Sunspots usually form in pairs with opposite magnetic polarities. This has an impact on the temperature on Earth, as well as radio reaction. The Earth would presumably be colder if sunspots didn't exist.

When sunspots form, they produce an increase in UV radiation that radiates from the sunspots' outer ring as they approach Earth.

This increase in UV radiation has an impact on the chemistry of the outer environment as well as the Earth's energy balance.

The idea that sunspots have an impact on Earth's ecology is still controversial, although it does exist.

Hence the words from the list that best fits the definition increase the number of sunspots that can lead to warmer climates.

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A stationary car is stopped at a traffic light. When the light turns green at t = 0, a truck with a constant speed of 25m/s passes the car. The car uniformly accelerates to its top speed (30m/s) in 10 s then moves at a constant speed. How long will it take for the car to catch up with the truck?​

Answers

It will take the car 16.67 sec to catch up with the truck.

Given the data in the question.

Since the car was stationary, then;

Initial velocity of the car; \(u_c = 0m/s\).

Final velocity of the car; \(v_c = 30m/s\).

Time taken for the car to reach given speed; \(t = 10s\).

At \(t = 0\), speed of truck; \(V_{truck} = 25m/s\)

First, we find the acceleration of the car, using the first equation of motion;

\(v = u + at\)

We make "a" the subject of the formula,

\(a = \frac{v-u}{t}\)

We substitute in our values and solve for "a"

\(a = \frac{30m/s - 0m/s}{10s}\)

\(a = 3m/s^2\)

Now, to determine how long will it take for the car to catch up with the truck.

Distance travelled by truck should be equal to distance travelled by car, so;

\(S_{truck\) = \(S_{car\)

We know that, speed; s = distance / time

So, distance of truck \(S_{truck\) = speed of truck × time \(= V_{truck} * t\)

Also, from the second equation of motion; distance "s" is;

\(s = ut + \frac{1}{2}at^2\)

So distance of the car \(S_{car} = ut + \frac{1}{2}at^2\)

We equate

\(S_{truck\) = \(S_{car\)

\(V_{truck} * t\) \(= ut + \frac{1}{2}at^2\)

we make "t" the subject of formula

we know that initial velocity of the car; u = 0

so, we divide both sides by "t"

\(V_{truck} = \frac{1}{2}at\)

\(t = \frac{2V_{truck}}{a}\)

We substitute in our values

\(t = \frac{2 * 25m/s}{3m/s^2}\)

\(t = 16.67s\)

Therefore, It will take the car 16.67 sec to catch up with the truck.

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Decide whether each statement is True or False, and give a reason for each answer. Here V is a nonzero finite-dimensional vector space. a. If dim V p and if S is a linearly dependent subset of V, then S contains more than p vectors. b. If S spans V and if T is a subset of V that contains more vectors than S, then T is linearly dependent.

Answers

The first statement is true; if dim V = p and if S is a linearly dependent subset of V, then S contains more than p vectors.

The second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearlyly dependent.

Explanation:

If S is linearly dependent, then there is at least one vector in S that can be written as a linear combination of the remaining vectors. If this is the case, then this vector is redundant, and it can be removed from S. This means that we can repeat the process until we have removed all the redundant vectors from S.So, let us assume that S is a linearly dependent subset of V such that dim V = p, then we have the following:dim (span S) < dim Vp. So S contains more than p vectors.

The  second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearly dependent.

Explanation:Let us assume that S spans V and if T is a subset of V that contains more vectors than S, then T must have a vector not in S. We can add this vector to S to get a set that contains all the vectors in T. The resulting set is linearly dependent because it contains more vectors than S, which is known to span V.

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The total amount of carbon dioxide in the atmosphere is estimated to have decreased by 10 to 15 percent since 1900.


True False

Answers

Answer: False

Explanation:  

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Before the establishment of the civil service system in 1883, what system of hiring was used to staff the federal bureaucracy? If an animal is injected with a whole protein and an immune response is allowed to develop before being harvested from it's blood, then the antiserum will contain ___, whereras the cell-culture medium of a hybridoma will contain ___. Only the first situation will produce a response to molecules that can bind to multiple ___. 12. What does Valentn do in order to win over Julie? 1 Latisha and Maisha are twins. They have a brother who is eleven years younger thanthem and an older sister who is four years older. The sum of the ages of all four siblingsis 73. Find Latisha's age. 3. How were science & religion mainly viewed during the Renaissance period Which for the following is the best estimate of 12 18/21? (Those are mixed number fractions.)A) 12B) 12 1/2C) 13D) 13 1/2 the federal government delegates its regulation of economic activity function to businesses and consumers. T/F determina el dominio y el rango de las funciones representadas en cada grafica Pivot the matrix about the circled element [ 2 -4 6 3 7 1 ] circled is number 2 13=8-5d I need to solve for the given variable Elaborate on FOUR (4) preconditions for technology transfer anddiffusion. One new farming method of planting seeds deep in the ground was called c G r a __________________ ; farmers planted seeds deep in the soil where there was w - H i enough __________________ for growth. Jsing suitable examples, give an application to illustrate following theorem Ito's quotient rule Ito's product rule during what month is there the greatest water excess? Which of the following BEST describes STI symptoms? A. Symptoms for STIs are similar in nature and severity. B. Symptoms may not be present even though there is an infection. C. Visible symptoms are limited to the genital area. D. Symptoms can be treated with over-the-counter medication Please select the best answer from the choices provided. A B C D. A key part of staying safeis employing good habits.Drag the step number tothe proper sequence. logic is defined as a body of knowledge that evaluates _____________. computers that can be identified and traced are of no value to thieves. so maguda inc. has instituted a plan to reduce theft by etching the serial number of each computer on both the fram of the monitor and on the hard drive, where it will be possible to overlook. maguda's plan relies on which assumption? Q1: He said he ____________ sleep at all on the plane. A) doesn't B) don't C) didn't 1. A finance company charges $55 simple interest on a sum of money which isborrowed for five months. Given that the rateof interest is 12% per annum, find the sum ofthe money.Options: 1) $12002) $1100