L Pretest: Unit 4 Given the coordinates for the function below, which of the following are coordinates for its inverse?

Answer:

21 + x = 35

x = 14

Hope this helps :)

The cost of the carpet will be $2,335.5.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The dimensions of the carpet are;

⇒ 15 feet by 18 feet

Now,

The area of the carpet = 15 x 18

                                   = 279 feet²

                                   = 270 / 3 yards²

                                   = 90 yards²

Since, The carpet costs = $25.95 per square yard.

Hence, The carpet cost for 90 yards² = 90 x $25.95

                                                          = $2,335.5

Thus, The cost of the carpet will be $2,335.5.

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Since Suzy return took 1/4 hr longer, how far Suzy travelled to her appointment is 50 mi

To answer the question, we need to know what distance travelled by Suzy is

The distance between Suzy and her appointment is d = vt where

So, d = 50t   (1)

Now, since Suzy returns home at a speed of v' = 40 mph and takes her 1/4 hr longer to return home,her return time is , t' = (t + 1/4) h

Since the distance she ruturns home is the same, we also have that

d = v't'

= 40(t + 1/4)  (2)

Equating (1) and (2), we have

50t = 40(t + 1/4)

50t = 40t + 10

50t - 40t = 10

10t = 10

t = 10/10

t = 1 hr

Substituting t = 1 into d = 50t, we have

d = 50(1)

d = 50 m

So, how far Suzy travelled to her appointment is 50 mi

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In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

A compound in chemistry is a material comprised of two or more separate chemical elements mixed together in a certain proportion. Chemical connections that are challenging to break are created when the elements interact with one another.

Compound A:Compound B ratio in the medication is 3:5. In other words, there are 3 millilitres of compound A and 5 millilitres of compound B for every 3+5=8 millilitres of the medicine.

We may set up a percentage using the ratio of compound A to the total volume of the medicine to determine how much compound A is required to make 728 millilitres of the drug:

3 ml x 3 ml x 3 ml

-------- = ----------

728 ml total, 8 ml overall

If we cross-multiply, we obtain:

8(x) = 3(728)

To find x, we use the formula x = 3(728)/8 = 273

In order to create 728 millilitres of the medication, 273 millilitres of component A are required.

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273 milliliters of compound A are needed to make 728 milliliters of the drug.

What are proportions?

In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:

a/b = c/d

To determine the amount of compound A needed to make 728 milliliters of the drug, we need to use the given ratio of 3 milliliters of compound A to 5 milliliters of compound B.

Let's start by finding the ratio of compound A to the total amount of ingredients (A+B) in the drug:

3 : (3+5) or 3:8

This means that for every 8 milliliters of the drug, 3 milliliters of compound A are used.

To find out how many milliliters of compound A are needed for 728 milliliters of the drug, we can set up a proportion:

3/8 = x/728

where x represents the amount of compound A needed.

To solve for x, we can cross-multiply:

8x = 3*728

8x = 2184

x = 273

Therefore, 273 milliliters of compound A are needed to make 728 milliliters of the drug.

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Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer: THE ANSWER ON ACELLUS IS -1

Step-by-step explanation:

I found this answer on a site used to do sin cos and tangent

The y-value corresponding to an x-value of \(\( \frac{3\pi}{2} \)\) in the function \(\( y = \sin(x) \) is \( y = -1 \).\)

To find the y-value corresponding to an x-value of \(\( \frac{3\pi}{2} \)\) in the function \(\( y = \sin(x) \),\) simply substitute \(\( x = \frac{3\pi}{2} \)\) into the function:

\(\( y = \sin\left(\frac{3\pi}{2}\right) \)\)

Now, let's evaluate the sine function at \(\( \frac{3\pi}{2} \):\)

\(\( y = \sin\left(\frac{3\pi}{2}\right) = -1 \)\)

So, the y-value corresponding to an x-value of \(\( \frac{3\pi}{2} \)\) in the function \(\( y = \sin(x) \) is \( y = -1 \).\)

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The equation that calculates the time taken to get to Springfield is x = 926/57

Rate is used to establish the relationship between two quantities of different units. one of the quantity is usually expressed to unity in order to estimate the change in the other quantity.

If Hillwood and Springfield are 926 mile apart, and the speed taken to get to Springfield is 57miles per hour.

Let the time taken to get to Spring field be x.

Then if 57 miles is covered in an hour and it takes x hours to get to the destination

It means total distance covered is 57 × x

This distance is equal to the distance from Hillwood to Springfield which is 926 miles.

Equating both equations.

57x = 926

In conclusion, 57x = 926 is the equation that can be used to find out the time taken.

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Using the binomial distribution, it is found that there is a 0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

For each manager, there are only two possible outcomes. Either they say job applicants should follow up within two weeks, or they do not say it. The opinion of a manager is independent of any other manager, which means that the binomial distribution is used to solve this question.

Binomial probability distribution  

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability that at least 4 of them say job applicants should follow up within two weeks is \(P(X \geq 4)\), which is given by:

\(P(X \geq 4) = 1 - P(X < 4)\)

In which:

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8,0}.(0.41)^{0}.(0.59)^{8} = 0.0147\)

\(P(X = 1) = C_{8,1}.(0.41)^{1}.(0.59)^{7} = 0.0816\)

\(P(X = 2) = C_{8,2}.(0.41)^{2}.(0.59)^{6} = 0.1985\)

\(P(X = 3) = C_{8,3}.(0.41)^{3}.(0.59)^{5} = 0.2759\)

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0147 + 0.0816 + 0.1985 + 0.2759 = 0.5707\)

\(P(X \geq 4) = 1 - P(X < 4) = 1 - 0.5705 = 0.4295\)

0.4295 = 42.95% probability that at least 4 of them say job applicants should follow up within two weeks.

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Answer:

3 rounds of bingo

Step-by-step explanation:

Let x represent the number of bingo rounds

For adults, the total cost can be represented by 2x + 13, since it is $2 per game and there is a $13 entry fee

For children, the cost can be represented by 3x + 10, since it is $3 per round and there is a $10 entry fee

To find how many rounds are needed to make the cost the same, set these expressions equal to each other and solve for x:

2x + 13 = 3x + 10

13 = x + 10

3 = x

So, costs will be the same with 3 rounds of bingo

Answer:

We can start by using the second equation to eliminate x:

2x + 5y - 2z = 3

2x = -5y + 2z + 3

x = (-5/2)y + z + 3/2

Now we can substitute this expression for x into the first and third equations:

x + y + z = 4

(-5/2)y + z + 3/2 + y + z = 4

(-5/2)y + 2z = 5/2

x + 7y - 7z = 5

(-5/2)y + z + 3/2 + 7y - 7z = 5

(9/2)y - 6z = 7/2

Now we have a system of two equations with two variables, (-5/2)y + 2z = 5/2 and (9/2)y - 6z = 7/2. We can use any method to solve for y and z, such as substitution or elimination. However, we will find that the system is inconsistent, meaning there is no solution that satisfies both equations.

Multiplying the first equation by 9 and the second equation by 5 and adding them, we get:

(-45/2)y + 18z = 45/2

(45/2)y - 30z = 35/2

Adding these two equations, we get:

-12z = 40/2

-12z = 20

z = -5/3

Substituting z = -5/3 into (-5/2)y + 2z = 5/2, we get:

(-5/2)y + 2(-5/3) = 5/2

(-5/2)y - 10/3 = 5/2

(-5/2)y = 25/6

y = -5/12

Substituting y = -5/12 and z = -5/3 into any of the original equations, we get:

x + y + z = 4

x - 5/12 - 5/3 = 4

x = 29/12

Therefore, the solution is (x, y, z) = (29/12, -5/12, -5/3). However, if we substitute these values into any of the original equations, we will find that it does not satisfy the equation. For example:

2x + 5y - 2z = 3

2(29/12) + 5(-5/12) - 2(-5/3) = 3

29/6 - 5/2 + 5/3 ≠ 3

Since there is no solution that satisfies all three equations, the system is inconsistent.

Step-by-step explanation:

Answer:

See below for proof.

Step-by-step explanation:

A system of equations is not consistent when there is no solution or no set of values that satisfies all the equations simultaneously. In other words, the equations are contradictory or incompatible with each other.

Given system of equations:

\(\begin{cases}x+y+z = 4\\2x+5y-2z =3\\x+7y-7z =5\end{cases}\)

Rearrange the first equation to isolate x:

\(x=4-y-z\)

Substitute this into the second equation to eliminate the term in x:

\(\begin{aligned}2x+5y-2z&=3\\2(4-y-z)+5y-2z&=3\\8-2y-2z+5y-2z&=3\\-2y-2z+5y-2z&=-5\\5y-2y-2z-2z&=-5\\3y-4z&=-5\end{aligned}\)

Subtract the first equation from the third equation to eliminate x:

\(\begin{array}{cccrcrcl}&x&+&7y&-&7z&=&5\\\vphantom{\dfrac12}-&(x&+&y&+&z&=&4)\\\cline{2-8}\vphantom{\dfrac12}&&&6y&-&8z&=&1\end{aligned}\)

Now we have two equations in terms of the variables y and z:

\(\begin{cases}3y-4z=-5\\6y-8z=1\end{cases}\)

Multiply the first equation by 2 so that the coefficients of the variables of both equations are the same:

\(\begin{cases}6y-8z=-10\\6y-8z=1\end{cases}\)

Comparing the two equations, we can see that the coefficients of the y and z variables are the same, but the numbers they equate to is different. This means that there is no way to add or subtract the equations to eliminate one of the variables.

For example, if we subtract the second equation from the first equation we get:

\(\begin{array}{crcrcl}&6y&-&8z&=&-10\\\vphantom{\dfrac12}-&(6y&-&8z&=&\:\:\;\;\:1)\\\cline{2-6}\vphantom{\dfrac12}&&&0&=&-11\end{aligned}\)

Zero does not equal negative 11.

Since we cannot eliminate the variable y or z, we cannot find a unique solution that satisfies all three equations simultaneously. Therefore, the system of equations is inconsistent.

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

(f + g)(x) = 3x + 6

Step-by-step explanation:

Brainliest?

The domain of the quadratic equation is all non-negative real numbers.

The picture indicates the case of the launch of an object from the top of a building. The height of the object (f(x)), in feet, as a function of time, (x), in seconds. Both height and time are represented by non-negative real numbers and hence the following solutions do not make sense in the context of problem:

Now we proceed to fill the blanks in the four paragraphs:

f(- 2) = 0, meaning that - 2 second after the object was launched, the object was 0 feet above the ground. This interpretation does NOT make sense in the context of the problem.

f(0.5) = 100, meaning that 0.5 seconds after the object was launched, the object was 100 feet above the ground. This interpretation make sense in the context of the problem.

f(6) = - 224, meaning that 6 seconds after the object was launched, the object was - 224 feet above the ground. This interpretation does NOT make sense in the context of the problem.

Based on the observation above, it is clear that an approximate domain for the function is all non-negative real numbers.

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The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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Answer:

60

Step-by-step explanation:

Answer:

60 i think

Step-by-step explanation:

Answer:

3.6 × 10^9

Step-by-step explanation:

When multipliying two numbers in scientific notation, the exponents in the factor of 10 will be added when the two expressions are multiplied.

Thus (1.2 ⋅ 10^28) ⋅ (3 ⋅ 10^−19) = ( 1.2 × 3 )

( 10^28 × 10^-19 ) = 3.6 × 10^(28-19) = 3.6 × 10^9

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

Step-by-step explanation:

1. (4x5) is 20

2. (4x 2) is 8

3. 20 plus 8 is 28

4. 28= 4x (5+n)

5. isolate n by dividing 4 on both sides= 28/4= 4+n

6. subtract 4 on both sides to get 7-4=n

7. n=3

Answer:

A  yes     B No    C  Yes

Step-by-step explanation:

The length of the third side is greater than the difference and less than the sum of the two smallest sides.

8, 5, 7    Using the 5 and 7  the third side is > (7 - 5) and < (5 + 7)

                                              the third side is  > 2  and < 12 so 8 is OK

10, 3, 7   Use the two smallest number: 3 and 7

                                               the third side is  > (7 - 3) and < (3 + 7)    

                                               the third side is > 4 and < 10   No it is 10

9, 5, 15    Use the two smallest number 9, 5

                                               the third side is > (9 - 5) and < (9 + 5)  

                                               the third side is > 4 and < 14       Yes  

Answer:

A. 8, 5 , 7

Step-by-step explanation:
the other guy who answered  gave two yes's so I chose one and A. was correct.

Responder:

Explicación paso a paso:

De la pregunta, la secuencia de imágenes, cuya expresión indica es 4 cadeiras, 6 cadeiras, 8 cadeiras ...

Se puede ver la secuencia una progresión aritmética de la forma 4, 6, 8 ... Para obtener la expresión que indica la cantidad de cadenas utilizadas o colocaremos n tablas una al lado de la otra, tendremos que encontrar el enésimo término de la secuencia que usa la fórmula para encontrar el enésimo término de una secuencia aritmética.

El enésimo término de un AP se expresa como Tₙ = a + (n-1) d donde;

a es el primer término

n es el número de términos es la diferencia común

De la secuencia generada, a = 4, d = 6-4 = 8-6 = 2

Tₙ = 4+ (n-1) 2

abre el paréntesis

Tₙ = 4 + 2n-2

Tₙ = 2n + 4-2

Tₙ = 2n + 2

Por lo tanto, la expresión que indica la cantidad de cadenas utilizadas o colocaremos n tablas una al lado de la otra es 2n + 2

Answer:

2/21-1/3=2-7/21=-5/21

The mass of sample left after 4 half-life is 7.8g

To determine the mass left after the disintegration over a period of time, we can use the half-life of the sample given.

Half-life refers to the amount of time it takes for half of a sample of a radioactive substance to decay. In other words, it is the time it takes for the number of radioactive atoms in a sample to decrease by half. Half-life is a constant for a given substance, and it can be used to predict the decay of a sample over time.

After one half-life, the quantity of the isotope will be reduced to half its initial mass, or 62.5 grams. After two half-lives, the quantity will be reduced to half of that, or 31.25 grams. After three half-lives, it will be 15.625 grams. After four half-lives, it will be 7.8125 grams.

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The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

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Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

Answer:

  (c)  x³·∛x

Step-by-step explanation:

You want the simplified form of ∛(x¹⁰).

The first part of the problem tells you how to get there. After you have that expression, you need to bring the x⁹ term from under the radical.

  \(\sqrt[3]{x^{10}}=\sqrt[3]{x^9\cdot x}=\sqrt[3]{x^9}\cdot\sqrt[3]{x}=\boxed{x^3\cdot\sqrt[3]{x}}\qquad\text{matches choice C}\)

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According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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The quantity demanded will decrease by 1,500 widgets, all of the widgets will cost the store $1,233,750 to purchase at a price of $22.50. The retail price of each widget will be $33.75.

a. The demand function is q = –1,500p + 90,000. We can take the derivative of the demand function with respect to p:

dq/dp = -1,500

This means that for every one-dollar increase in price, the quantity demanded will decrease by 1,500 widgets.

b. To find the quantity demanded at a price of $20, we can substitute p = 20 into the demand function:

q = -1,500(20) + 90,000 = 57,000

c. Similarly, to find the quantity demanded at a price of $21, we can substitute p = 21 into the demand function:

q = -1,500(21) + 90,000 = 55,500

d. 57,000 - 55,500 = 1,500

Therefore, a one-dollar increase in price causes a decrease in quantity demanded of 1,500 widgets.

e. To find the quantity demanded at a price of $22.50, we can substitute p = 22.50 into the demand function:

q = -1,500(22.50) + 90,000 = 54,750

f. $22.50 x 54,750 = $1,233,750

Therefore, all of the widgets will cost the store $1,233,750 to purchase at a price of $22.50.

g. $22.50 + ($22.50 x 0.50) = $33.75

Therefore, the retail price of each widget will be $33.75.

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The answer is 28 or 504. My explanation....

ALRIGHT! So, it took me a little while to do it all.... since I wasn't really sure if it was already multiplied by 18 or not.

So the normal numbers in order from least to greatest,(because that's easier)

14, 18, 20, 28, 36, 58, 71.

The new numbers I multiplied by 18 are...

252, 324, 360, 504, 648, 1044, 1268.

When I put it like that you can clearly see the new median. 28 and 504!

Number of shingles in the 6th row is 110.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

And thus, the common difference is

T_{n+1} - T_n

for all positive integer values of n

Given;

Each row has 7 fewer shingles than the row below it

First row has 75 shingles

Now,

a=75

D=7

n=6

a_{n}=a_{1}+(n-1)d

a6=75+(6-1)7

a6=75+35

a6=110

Therefore, the answer of arithmetic sequence will be 110.

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Answer:

33

Step-by-step explanation:

it starts with 75 and decreases by 7 for each row. (75 -7)  On the 6th row youll be at 33!

STARTS AT 75

row one: 68

row two: 61

row three:54

row four: 47

row five: 40

row six: 33