Please Help with this question (PreCal)

The option "On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1" is the correct alternative.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. We can write -

\($y =log_{e} x\)

We have logarithmic function as -

\($y =log_{e} x\)

Refer to the graph of the logarithmic function attached. It can be seen that on a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1.

Therefore, the option "On a coordinate plane, a curve starts in quadrant 4 and curves up into quadrant 1" is the correct alternative.

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Answer:

Amadi: 20 years old

Chima : 4 years old

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Considering the figure the value of angle b is

According to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.

hence angle a = angle y

Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.

angle b = angle a + 90

= 34 + 90

= 124 degrees

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Answer:

သောင်းလီစိတ်

Step-by-step explanation:

.6 = ဆယ်လီစိတ်

.62 => 2=ရာလီစိတ်

so .628=>8= သောင်းလီစိတ်

Answer:

Step-by-step explanation:

Slope= - 6/7

Point (-4, 2)

b = y - (m)(x)

b = 2- (-6/7)(-4)

b = 2 - 24/7

b = -10/7

y = - 6/7x - 10/7

Answer:

18:36

Step-by-step explanation:

their are 18 nickels and 12+6+18=36 total coins

so the ratio is 18 to 36  or  18:36

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

Step-by-step explanation:

Find the value of u then you can get it

Answer:

50

Step-by-step explanation:

you need to put  first the 32 on top of 100 since it always goes over 100 then you put 16 over a blank and you divide 32 by 16 which equals 2 so since you divided at the top you need to divide at the bottom so you divide 100 by 2 and you get 50 so 50 is your answer

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857

Answer:

-6

Step-by-step explanation:

f(x)=2x^2+5x-4

Let x= -2

f(-2)=2*(-2)^2+5(-2)-4

     = 2 (4)+5(-2)-4

     = 8 -10 -4

     = -6

When the revenue equation equals the cost equation, Anna breaks even.  Therefore, to generate a profit, she must sell more than the break-even units, that is > 1,868 books.

The profit equation is given by the difference between the revenue equation and the cost equation.

When the revenue and costs are equal, there is a break-even.

When a unit more than the break-even point is produced and sold, the company starts generating profit.

Let the number of books she sells = x

R= 6.53x

C = 10,125 + 1.11x

To break even, R = C

Therefore

6.53x = 10,125 + 1.11x

5.42x = 10,125

x = 1,868

To make profit, x > 1,868

Thus, for Anna to make profit from selling the book she published, she must sell more 1,868 books.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Step-by-step explanation:

log(b³/a)

= logb³ - loga

= 3logb - loga

17.55% is the probability for any day, the number of special orders sent out will be exactly 5

The given situation describes a Poisson distribution with a mean of 5 special orders per day. The probability of getting exactly 5 special orders in a day can be calculated using the Poisson probability formula, which is:

P(X = k) = (e^(-λ) * λ^k) / k!

where X is the random variable representing the number of special orders, λ is the mean number of special orders per day, and k is the number of special orders we want to find the probability for.

Plugging in the given values, we get:

P(X = 5) = (e^(-5) * 5^5) / 5!

Simplifying this expression, we get:

P(X = 5) = 0.1755

Therefore, the probability of getting exactly 5 special orders in a day is 0.1755 or 17.55%, rounded to four decimal places.

Intuitively, this means that out of many days, we can expect around 17.55% of them to have exactly 5 special orders sent out. The Poisson distribution is commonly used to model the number of events occurring in a fixed period of time, given a known average rate of occurrence. In this case, the Poisson distribution can be used to estimate the likelihood of a particular number of special orders being sent out in a day.

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The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

231q^3

Step-by-step explanation:

Just add them together. They have the same expressions. Whenever you see a number with an ending similarly to another such as 3x and 2x, they can add together.

This is no different. If something is 6x^2 and another is 7x^2, you would add them to get 13x^2.

No graph for the polar equation because here sin 0 is 0.

According to the statement

we have given that a polar equation and we have to represent in the graph.

So, For this purpose, we know that the

The expression of a point as an ordered pair. is known as polar notation, the equation of a curve expressed in polar coordinates is known as a polar equation.

The given polar equation is

r = 1-3 sin 0

here the value of r is 0.

so, No graph is possible for the given statement

because here the value of r is 0 and for zero value there is a no graph possible.

So, No graph for the polar equation because here sin 0 is 0.

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Answer:

\(\displaystyle \frac{3^5}{3^{-6}}=3^{11}\)

Step-by-step explanation:

Properties of Exponents

They can be used to simplify expressions of the form

\(b^x\cdot b^y=b^{x+y}\)

\(\displaystyle \frac{b^x}{b^y}=b^{x-y}\)

The last property will be used to simplify:

\(\displaystyle \frac{3^5}{3^{-6}}=3^{5-(-6)}=3^{5+6}=3^{11}\)

\(\mathbf{\displaystyle \frac{3^5}{3^{-6}}=3^{11}}\)

The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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Answer:

this is not a question

Step-by-step explanation:

Greetings from Brasil...

The range will be the region of the Y axis comprised by the function. Looking at the graph, we conclude that:

Using the shell method, the volume of the solid generated when R is revolved about the y-axis is V= 324π cubic units.

The shell method refers to a method of finding volumes of the solid by decomposing a solid of revolution into cylindrical shells. It is one of the methods to find the volume of the solid. This solid is generated when region R is rotated about an axis or the y-axis. In case it is y-axis then the following formula is used:

V= ∫_a^b▒〖2πx [f(x)-g(x)]dx〗

Where y = f(x), y = g(x), and the interval is considered as [a,b].

The given curves are: y = 11 − x, y = 0, x = 3, x = 9

V= ∫_3^9▒〖2πx [11-x-0]dx〗

V= 2π∫_3^9▒〖(11x-x^2)dx〗

V= 2π[11/2 x^2-  1/3 x^3]

V= 2π[11/2 9^2-  1/3 9^3-  11/2 3^2+  1/3 3^3]

V= 2π[891/2-  729/3-  99/2+  27/3]

V= 2π[729/2-  702/3]

V= 2π[396-234]

V= 2π[162]

V= 324π cubic units

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Joe earned $140 for working 20 hours

To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Joe worked 14 hours  and earned = $119

Joe worked for 1 hour and earned = $ 119/ 14

Joe worked for 20 hours and earned = $ 119/ 14 x 20

                                                                 = 4140

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The solution for the given expression is 16.

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

First, you apply the Power Rules - Power for  \((\frac{2^2x^2y}{xy^3} )^2}\). For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:\(\frac{16x^4y^2}{x^2y^6}\).

After that, you should apply the  Power Rules - Division . For this rule, you should repeat the base and  subctract the exponents. Thus, the result will be:\(\frac{16x^2}{y^4}\).

Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:\(\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16\)

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Answer:

asd

Step-by-step explanation:

sadasdasdasdasnst465557

Answer:

Step-by-step explanation:

Answer:

the bag contains $10.89.

Step-by-step explanation:

Let's start by using algebra to represent the number of coins in terms of one variable. Let x be the number of pennies in the bag. Then:

The number of nickels is 4 more than the number of pennies, so there are x + 4 nickels.

The number of dimes is 30% of the total, so there are 0.3 * 50 = 15 dimes.

The number of quarters is the remaining coins: 50 - (x + x + 4 + 15) = 31 - 2x.

To find the total amount of money, we need to multiply the number of each type of coin by its value and add them up. Using the values of the coins:

Pennies: x * $0.01

Nickels: (x + 4) * $0.05

Dimes: 15 * $0.10

Quarters: (31 - 2x) * $0.25

Adding these expressions and simplifying, we get:

Total = 0.01x + 0.05(x + 4) + 0.10(15) + 0.25(31 - 2x)

= 0.01x + 0.05x + 0.20 + 1.50 + 7.75 - 0.50x

= 0.06x + 9.45

Now we need to find x, the number of pennies. We know that 14% of the coins are pennies, so:

0.14 * 50 = 7 = x + (x + 4) + 15 + (31 - 2x)

Solving for x, we get:

7 = 50 - x - 19

x = 24

So there are 24 pennies, 28 nickels, 15 dimes, and 3 quarters in the bag. The total amount of money is:

Total = 0.06(24) + 9.45 = $10.89

Therefore, the bag contains $10.89.

The unknown angle in the cyclic quadrilateral is as follows:

∠R = 86 degrees

The diagram above is cyclic quadrilateral. A cyclic quadrilateral is a four sided shape that can be inscribed into a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees. The opposite angles in a cyclic quadrilateral is supplementary.

Hence, let's find the unknown angle.

∠R = 1 / 2 (92 + 80)

∠R = 1 / 2 (172)

∠R = 86 degrees

Therefore, the unknown angle is 86 degrees.

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Answer:

  7π/2

Step-by-step explanation:

The period is the value of x that makes the cosine argument be 2π:

  4/7x = 2π

  x = (7/4)(2π) = 7π/2 . . . the period