Use the square root property to solve each equation, if possible.

Answers

Answer 1

Answer:

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.


Related Questions

Glencoe algebra 1 7-3 practice rational exponents answers

Answers

The expressions are illustrations of rational exponent expressions

The equivalent expressions are [tex](8x)^\frac 12 = 2\sqrt{2x[/tex], [tex]6z^\frac 12 = 6\sqrt z[/tex] and [tex]\sqrt{19} = 19^\frac 12[/tex]

How to simplify the rational exponent expressions?

From the complete question (see attachment), we are to simplify or rewrite the following expressions

[tex](8x)^\frac 12[/tex]

[tex]6z^\frac 12[/tex]

[tex]\sqrt{19[/tex]

For [tex](8x)^\frac 12[/tex], we simply apply the exponent rule of indices

[tex](8x)^\frac 12 = \sqrt{8x[/tex]

Express 8 as 4 * 2

[tex](8x)^\frac 12 = \sqrt{4 * 2x[/tex]

Take the square root of 4

[tex](8x)^\frac 12 = 2\sqrt{2x[/tex]

For [tex]6z^\frac 12[/tex], we apply the exponent rule of indices

[tex]6z^\frac 12 = 6\sqrt z[/tex]

For [tex]\sqrt{19[/tex], we apply the the same rule

[tex]\sqrt{19} = 19^\frac 12[/tex]

Hence, the equivalent expressions are [tex](8x)^\frac 12 = 2\sqrt{2x[/tex], [tex]6z^\frac 12 = 6\sqrt z[/tex] and [tex]\sqrt{19} = 19^\frac 12[/tex]

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Which design element is used to organize the text in orderly fashion? a. Proximity b. Alignment c. White space d. Balance

Answers

Answer:

Explanation:

The correct answer is the option B: alignment.

Explanation:

On one hand, design elements comprehends the term that describes fundamental ideas about the practice of visual design, such as the color, the points the lines, etc.

On the other hand, alignment is the name given, in the field of design, to the term that describes how a text is placed in order on the screen. Moreover, it enables the composition of a text document using different text positioning on the whole or selected part of a page.

Answer:B.

Explanation:

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function

Answers

Based on the number of years, and the number of nesting sites, the exponential function that best models the data is B. n(x) = 46,797(0.93)ˣ.

What function best models the data?

You can find the correct function by testing out the options with the given x value to see if it correctly predicts the number of nesting sites.

Function n(x) = 25,956.80(1.08)ˣ

Assuming x is 3:

= 25,956.80(1.08)³

= 32,698 sites

This function does not predict the correct number of sites which is 40,513.

Function n(x) = 46,797(0.93)ˣ

Assuming x is 3:

= 46,797(0.93)³

= 37,438 sites

This is closer to the predicted number of 40,513 sites with some discrepancy.

In conclusion, option B is correct.

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A new suv depreciates in value each year by a factor of 15

Answers

The expected value of a car worth $25,000 after 5 years will equals to $11,093.

What is the formula for compound interest?

[tex]A = P (1 + r/n)^ni[/tex] where p = $25,000, r= 0.15, i = 1, i = 5

A = 25000* (1 + -0.15/1)^5*1

A = 25000*(0.85)^5

A = 25000*0.4437053125

A = 11092.6328125

A = $11,093

Hence, the expected value of a car worth $25,000 after 5 years will equals to $11,093.

Therefore, the Option B is correct.

Full question "What is the expected value of a $25,000 car after 5 years (rounded to nearest whole dollar)? A) $20750 B) $11093 C) $9429 D) $6250?

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In most production environments, _______ will be used as the source of data input.

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They In most production environments, _______ will be used as the source of data input.

For long-lived assets that have been in use for more than one accounting period, depreciation expense on the ______ accumulated depreciation on the ______.

Answers

Answer:

For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the debit. Accumulated Depreciation on the credit.

Explanation:

Therefore, the entry that was made by the accountant, assets and stockholders' equity will be decreased.

For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the income statement will be less than Accumulated Depreciation on the balanced sheet. The correct option is 2.

Depreciation expense is shown on the Income Statement for long-lived assets that have been in use for more than one accounting period, while accumulated depreciation is reported on the Balance Sheet.

The part of an asset's cost that is spread out as an expense over its useful life is represented by depreciation expense.

It is deducted from the company's net income for the accounting period and reported as an operational expense on the income statement.

Thus, depreciation expense is shown as an expense on the income statement, which lowers net income, while accumulated depreciation is shown as an asset's carrying value on the balance sheet. The correct option is 2.

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Your question seems incomplete, the probable complete question is:

For long-lived assets that have been in use for more than one accounting period, Depreciation Expense on the ______ Accumulated Depreciation on the ______.

balance sheet will be less than; income statementincome statement will be less than; balance sheetincome statement will be greater than; balance sheetincome statement will be equal to; balance sheetbalance sheet will be equal to; income statementbalance sheet will be greater than; income statement

For approximately what values of x can you replace sin x by x-(x^3/6)

Answers

Answer:

15

Explanation: cause 1/2

The main acid in the stomach is hydrochloric acid (hcl). which chemical equations show a reaction that occurs when someone takes an antacid? check all that apply.

Answers

The chemical equations that show  a reaction that occurs when someone takes an antacid are;

HCl + NaHCO₃ -> NaCl + H₂O + CO₂2HCl + CaCO₃ -> CaCl₂ + CO₂ + H₂O2HCl + Mg(OH)₂ -> MgCl₂ + 2H₂O

What is the correct chemical equation?

Hydrochloic acid would normally react with the basic substances in the stomach. Now, these substances that react with hydrochloric acid in the stomach are magnesium hydroxide, sodium bicarbonate and calcium carbonate.

Thus, from the above dewscription, the chemical equations that show  a reaction that occurs when someone takes an antacid are;

HCl + NaHCO₃ -> NaCl + H₂O + CO₂2HCl + CaCO₃ -> CaCl₂ + CO₂ + H₂O2HCl + Mg(OH)₂ -> MgCl₂ + 2H₂O

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12.1 arithmetic sequences evaluate homework and practice answers

Answers

The table is an illustration of arithmetic sequence

The equation of the arithmetic sequence is B(s) = 7.5s

How to complete the table of the arithmetic sequence

From the table (see attachment), we have the following formula

B(s) = 7.5s

For s =0 to 4, we have:

B(0) = 7.5(0) = 0

B(1) = 7.5(1) = 7.5

B(2) = 7.5(2) = 15

B(3) = 7.5(3) = 22.5

B(4) = 7.5(4) = 30

So, the complete table is:

s       B(s)

0        0

1         7.5

2        15

3       22.5

4       30

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This map illustrates the countries occupied by germany. the countries occupied by france. that norway was not under german occupation. that belgium was not under german occupation.

Answers

Answer:

Late answer, but the answer is: A the countries occupied by Germany.

Explanation:

For future people I guess

The United States, Great Britain, the Soviet Union, and France participated in a joint occupation of the German state following Germany's defeat in the Second World War. Thus, option A is correct.

What are factor that led to Germany occupy countries?

In Germany's defeat in World War II, the country was jointly occupied by the continent's four major allies: the United States, Great Britain, the Soviet Union, and France.

The military overthrow of the Soviet Union; the abolition of the alleged Communist menace to Germany; and the seizing of valuable Soviet-controlled land as Lebensraum (German for “Living space”) for long-term German settlement.

During World War II, Germany's air raids posed the toughest challenges to halting its incursions into Europe. For the neighboring European nations, Adolf Hitler's military prowess and fast-moving ground forces made life extremely tough.

Therefore, the countries occupied by Germany.

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Find the mass of alcl3 that is produced when 10.0 grams of al2o3 react with 10.0 g of hcl according to the following equation.

Answers

12.2g answer

Try the stoichiometry method. You should get 12.2g as the answer

In order to be allowed to engage in activities to promote and enhance

Answers

In order to be allowed to engage in activities to promote and enhance the sale of an alcoholic beverage on behalf of a brewery or winery, a person must obtain

block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.

Answers

The kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

Kinetic energy of the blocks before collision

The kinetic energy of the blocks before the collision is calculated as follows;

For a negligible friction effect, the kinetic energy of the two - block system after the collision is equal to the kinetic energy before the collision.

K.E(initial) = K.E(after)

K(after) = ¹/₂(m₁ + m₂)vs²

K(after) = ¹/₂(m + 2m)vs²

K(after) = ¹/₂(3m)vs²

[tex]K.E(after) = \frac{3}{2} Mv_s^2[/tex]

Thus, the kinetic energy of the two-block system with the given masses before the collision is determined as ³/₂Mvs².

The complete question is below:

block x of mass m slides across a horizontal surface where friction is negligible. block x collides with block y of mass 2m that is initially at rest, as shown in figure 1. after the collision, both blocks slide together with a speed vs , as shown in figure 2.

What is the kinetic energy of the two-block system before the collision?

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The dipole moment of the water molecule (h2o) is 6.17×10−30c⋅m. consider a water molecule located at the origin whose dipole moment p⃗ points in the +x-direction. a chlorine ion (cl−), of charge −1.60×10−19c, is located at x=3.00×10−9m. assume that x is much larger than the separation d between the charges in the dipole, so that the approximate expression for the electric field along the dipole axis can be used.

Answers

Answer:

6.58 X 10⁻¹³ N

Explanation:

8-5 skills practice using the distributive property page 33

Answers

This exercise refers to the explanation of what distributive property is especially in relationship to addends.

What is distributive property?

The process of obtaining the product of the addition of two or more addends by a figure that gives the same result as multiplying each addend individually by that figure and then adding their products together is referred to as distributive property.

How is Distributive Property Applied?

A great example of distributive property is given below:

When asked for the answer of 5 (6 +1), applying distributive property, we have:

5(6+1) = 5 x 6 + 5 X 1 = 35.

Note that the 5 outside the bracket is used to multiply everything inside the bracket, hence the effect of Distributive Properties.

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Go math grade 7 practice and skills fluency workbook answer key

Answers

There are a lot of  math for  grade 7. An example of practice and skills fluency work is Adding and Subtracting Integers.

An example of Adding and Subtracting Integers is: Solve for  -5+(-3)

−5+(−3).

What is the rule for adding integers?

Note that to  add integers having the same sign, one has to keep the same sign and then they can add the absolute value of each number.

We are given the expression −5+(−3)

The next step is to use counters to stand in place of the numbers -5 and -3:

Note that there  are 5+3 - -8 counters and all the counters stands as negative integer.

To evaluate the expression, on can see that there are:

8 countersnegative counters -8−8

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Which best describes the cold war? question 1 options: a battle over who would control the korean peninsula during the 1950s a struggle between the eastern bloc and the west that lasted 40 years a race between the soviet union and the united states to rebuild europe after wwii a fight to prevent the communist takeover of cuba

Answers

Answer:

A struggle between the Eastern Bloc and the West that lasted 40 years.

What is the force between two 1.0 x 10-5 c charges separated by 2.0 m?

Answers

The force between the two identical electrical charges with the given distance of seperation is 0.2247N.

Given the data in the question;

Two Charge; [tex]q_1\ and \ q_2 = 1.0* 10^{-5}C[/tex]Distance between [tex]q_1\ and \ q_2[/tex]; [tex]r = 2.0m[/tex]Force between [tex]q_1\ and\ q_2[/tex]; [tex]F = ?[/tex]

Coulomb's law

Coulomb's law states that the force between two electrical charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between the two charges.

This is expressed as;

[tex]F = k\frac{q_1q_2}{r^2}[/tex]

Where [tex]q_1\ and \ q_2[/tex] are the two electrical charges, r is the distance between the charges and k is the Coulomb constant ( [tex]k = 8.98755*10^9 kgm^3/s^2C^2[/tex] )

To determine the force between the two charges, we substitute our values into the expression above.

[tex]F = k\frac{q_1q_2}{r^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{(1.0*10^{-5}C)(1.0*10^{-5}C)}{(2.0m)^2}\\\\F = (8.98755*10^9 kgm^3/s^2C^2)\frac{1.0*10^{-10}C^2}{4.0m^2}\\\\F = \frac{0.898755kgm^3/s^2}{4.0m^2}\\ \\F = 0.2247kgm/s^2\\\\F = 0.2247N[/tex]

Therefore, the force between the two identical electrical charges with the given distance of seperation is 0.2247N.

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A project whose positive exceed its is more likely to be enacted that one that is the opposite

Answers

It is true that a project whose positive exceeds its negative is more likely to be enacted than one that is the opposite.

What does project means?

A project is defined as a sequence of tasks that must be completed to attain a certain outcome. The aim of any project should be to infuse positivity and valuable contributions to society.

If the pros of a project exceed its cons, it will most likely be accepted and utilized because of the usefulness it serves.

Hence, it is true that a project whose positive exceeds its negative will be more likely to be enacted.

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A regular deck of cards has 52 cards. assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row?

Answers

The probability of drawing three aces in a row is the likelihood of drawing three aces

The probability of drawing three aces in a row is 0.000181

How to determine the probability?

In a standard deck of 52 cards, there are 4 aces.

Given that the selection is without replacement; then we have the following selections:

First: 4 aces in 52 cardsSecond: 3 aces in 51 cardsThird: 2 aces in 50 cards

The probability is then calculated as;

[tex]P = \frac{4}{52} * \frac{3}{51} * \frac{2}{50}[/tex]

Evaluate the products

[tex]P = 0.00018099547[/tex]

Approximate

[tex]P = 0.000181[/tex]

Hence, the probability of drawing three aces in a row is 0.000181

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Glencoe math course 2 volume 2 answer key 7th grade pdf

Answers

The volume of the figure is the amount of space in it.

Using the assumed values, the volume of the cone is 37.68

How to calculate volumes?

The question is incomplete; so I will give a general explanation on how volumes can be calculated..

Assume the figure is a cone of the following dimension:

Radius (r) = 3 meters

Height (h) = 4 meters

The volume of a cone is calculated as:

[tex]V = \frac13 \pi r^2h[/tex]

So, we have:

[tex]V = \frac13 * 3.14 * 3^2 * 4[/tex]

[tex]V = 37.68[/tex]

Using the assumed values, the volume of the cone is 37.68

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17.2 defining and evaluating the basic trigonometric functions

Answers

The trigonometric functions are known to be sine, cosine, tangent, cotangent, secant and cosecant.

What are Trigonometric functions?

The term  trigonometric functions are known to be a kind of real functions that helps to link an angle of a right-angled triangle to other ratios of two side lengths of that angle.

Note that they are often used in the field of sciences that are associated with  geometry, such as the area of  navigation, solid mechanics and also in the physics field.

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According to lamarck’s theory of evolution, organisms change during their lifetime to survive then pass these changes to their offspring. what supports the hypothesis of lamarck?

Answers

Answer:

Lamarckism, a theory of evolution based on the principle that physical changes in organisms during their lifetime—such as greater development of an organ or a part through increased use—could be transmitted to their offspring.

A constant net force of 20 n is applied to a 32 kg car, causing it to speed up from 4. 0 to 9. 0 m/s. how long is the force applied?

Answers

Given :- Constant force, F = 20 NMass of Car = 32 kgInitial speed, u = 4 m/sFinal Speed = 9 m/s

To Find:-Duration for which force is appiled

Solution:-

[tex]\green{ \underline { \boxed{ \sf{Force,F= Mass \times Acceleration }}}}[/tex]

So,

[tex] \sf Acceleration,a = \frac{Force}{Mass}[/tex]

[tex] \sf \implies \frac{20}{32} [/tex]

[tex]\implies \frac{5}{8} m/s^2[/tex]

Now,

By first equation of motion -

[tex]\green{ \underline { \boxed{ \sf{v-u=at}}}}[/tex]

So,

[tex]\sf t = \dfrac{v-u}{a} [/tex]

where

v = final velocityu = initial velocitya = accelerationt = time duration

Putting Values -

[tex]\sf t = \dfrac{9-4}{ \dfrac{5}{8}} [/tex]

[tex]\sf t = \dfrac{5}{ \dfrac{5}{8}} [/tex]

[tex]\sf t = \cancel5 \times \dfrac{8}{\cancel{5}} [/tex]

[tex]\sf t = 8 \:seconds[/tex]

>>>Therefore, Force is applied for 8 seconds.

What function is the inverse of the exponential function y = 4x?

Answers

Answer:

y

=

ln

x

ln

4

Explanation:

Switch the places of

x

,

y

and subsequently solve for

y

:

y

=

4

x

x

=

4

y

ln

(

4

y

)

=

ln

x

We need to get an explicit solution, IE, isolate

y

.

Recalling that

ln

(

a

b

)

=

b

ln

a

:

y

ln

(

4

)

=

ln

x

y

=

ln

x

ln

4

Explanation:

17.1 understanding polynomial expressions answer key

Answers

The identification of the polynomial expression is as follows:

Binomial, degree 2Trinomial degree 6Monomial, degree 4

What is a polynomial?

A polynomial shows the relation of more than two algebraic terms and the sum of powers of a polynomial in more than one variable. Polynomials are represented in terms of [tex]\mathbf{kx^n}[/tex];

where;

k = any numbern = positive integer.

The degree of a polynomial expressions can be:

MonomialBinomial Trinomial

Let's assume we have the following equation;

6b² - 7x²y - 9x⁴y²+ 3xy35r³s

Their degree of polynomial expression is:

Binomial, degree 2Trinomial degree 6Monomial, degree 4

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Given a random sample of size 24 from a normal distribution, find k such that (a) p(−2.069

Answers

The graph of the normal distribution of the random sample size of 24 will have the shape of a bell curve.

The value of k such that P(-2.069 < T < k) = 0.965 is 2.5

How to determine the value of k?

The sample size is given as:

n = 24

This means that the degrees of freedom is:

df = n - 1

df = 24 - 1

df = 23

The probability is given as:

P(-2.069 < T < k) = 0.965

This can be rewritten as:

P(T>-2.069) - P(T>k) = 0.965

The value of P(T>-2.069) at a degrees of freedom of 23 and [tex]\alpha[/tex] = 0.025 is 0.975

So, we have:

0.975 - P(T>k) = 0.965

Collect like terms

P(T>k) = 0.975 - 0.965

Evaluate the difference

P(T>k) = 0.01

The value of k that makes P(T>k) = 0.01 is 2.5.

So, we have:

k = 2.5

Hence, the value of k is 2.5

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At which event must special care be taken when preparing food

Answers

Answer:

occasions

Explanation:

During occasions such as Easter, Christmas etc when preparing a food take risk and measures make it delicious

What does it mean for a membrane to be selectively permeable brainly

Answers

Answer:

Selective permeability of the cell membrane refers to its ability to differentiate between different types of molecules, only allowing some molecules through while blocking others.

scalable flexible and adaptable operational capabilities are included in

Answers

Ans The NRF guiding principles

Explanation:

The NRF is built on scalable, flexible, and adaptable concepts.

Scalable, flexible, and adaptable operational capabilities are indeed included in the (NRF)National Response Framework's five key principles.

The National Response Framework (NRF) is a comprehensive guide developed by the United States Department of Homeland Security to facilitate effective response and recovery efforts during emergencies, disasters, and incidents. The NRF's five key principles, known as the "Five Mission Areas," outline the fundamental aspects of emergency management. These mission areas include:

1. Prevention: Activities aimed at preventing emergencies or disasters from occurring. This involves measures such as risk assessment, hazard mitigation, and public education to minimize the likelihood of incidents.

2. Protection: Actions focused on safeguarding individuals, critical infrastructure, and key assets from potential threats and hazards.

3. Mitigation: Efforts to reduce the impact and severity of disasters by implementing measures to minimize the potential damage and disruption caused by hazards.

4. Response: Immediate actions are taken to address and manage the consequences of an incident. This includes coordinating emergency response activities, mobilizing resources, conducting search and rescue operations, providing medical assistance, and ensuring public safety.

5. Recovery: Activities aimed at restoring affected communities and rebuilding the impacted areas after an incident. This includes facilitating the recovery process, providing assistance to individuals and businesses, restoring critical services, and rebuilding infrastructure.

In summary, scalable, flexible, and adaptable operational capabilities are integral to the National Response Framework's five key principles, as they enable effective emergency management and response during various incidents and disasters.

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