Work out the value of x.​

The only option that is true for the function g is; Option D: g(3) = 18

The function, g, has;

Domain; -1 ≤ x ≤ 4

Range: 0 ≤ g(x) ≤ 18

g(-1) = 2 and g(2) = 8

Then the following properties must hold to be true;

The value(s) of x must be between -1 and 4

The values of g(x) must be between 0 and 18.

We consider the options and state why they are true or otherwise.

Option A: g(5) = 12

When x = 5, g(5) = 12. This contradicts property 1 stated above and as such it is not true.

Option B: g(1) = -2

When x = 1,  g(x) = -2. This contradicts property 2 stated above and as such, it is not true.

Option C: g(2) = 4

When x = 2, g(2) = 4. However by property 4 stated above, g(2)=9. Therefore, we can say that it is not true.

Option D: g(3) = 18

When x =3 means that its domain lies between -1 and 4 and its range  lies between 0 and 18.

Therefore, Option D is true.

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The missing options are;

A) g(5)=12

B) g(1) = -2

C) g(2) = 4

D) g(3) = 18

Samuel pay 5.81 for the 3 bottles of juice.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Samuel buys 3 bottles of juice that each have an original price of 2.80.

And, He uses a coupon for 35% off. Then, he is changed sales tax at a rate of 6.5%.

Here, The original cost of 3 bottles of juice = 3 × 2.80

                                                                   = 8.40

Now, He uses a coupon for 35% off.

Hence, The off price = 35% of 8.40

                                = 35/100 × 8.40

                                = 2.94

So, The amount of 3 bottles of juice = 8.40 - 2.94

                                                        = 5.46

And, He is changed sales tax at a rate of 6.5%.

Thus, The sales tax on bottles = 6.5% of 5.46

                                               = 6.5/100 × 5.46

                                               = 0.35

Thus, The actual amount of 3 bottles of juice = 5.46 + 0.35

                                                                     = 5.81

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The mean is 24.2 and the standard deviation is 8.7.

The mean amount of revenue each car generates can be calculated by multiplying the mean number of hours parked by the cost per hour. To find the mean number of hours parked, we need to multiply each possible number of hours by its probability and add them up.

E(X) = (1 * 0.229) + (2 * 0.113) + (3 * 0.114) + (4 * 0.076) + (5 * 0.052) + (6 * 0.027) + (7 * 0.031) = 4.84 hours

So, the mean revenue is 4.84 * 5 = 24.2 dollars

The standard deviation of the revenue can be calculated by finding the standard deviation of the number of hours parked and then multiplying by the cost per hour.

SD(X) = sqrt( (1^2 * 0.229) + (2^2 * 0.113) + (3^2 * 0.114) + (4^2 * 0.076) + (5^2 * 0.052) + (6^2 * 0.027) + (7^2 * 0.031) - (4.84)^2) = 1.74 hours

So, the standard deviation of the revenue is 1.74 * 5 = 8.7 dollars.

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The value of 0.6 is greater than the value of 0.39 because; C 0.6 is greater than 0.39 because 6 tenths is greater than 9 hundredths.

When we are talking about decimals, the left hand side before the decimal are referred to as whole numbers while the first digit after the decimal represents the tenths place, the next digit after the tenths place  represents the hundredths place, the next digit after the hundredths place represents the thousandths place and so on.

Now, we are given two decimals 0.6 and 0.39.

We see clearly that 0.6 has a greater tenths digit than the hundredths digit in 0.39. This is seen as;

0.6 = 6/10 while 0.39 = 39/100

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There are 720 ways that personnel director for a corporation fills the positions

It is the ordered arrangement of members belonging to a set with no repeats.

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

Information about the problem:

Applying the permutation formula we have:

nPr = n! / (n-r)!

10P3 = 10! / (10-3)!

10P3 = 10! / 7!

10P3 = 10*9*8*7! / 7!

10P3 = 10*9*8

10P3= 720

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This suggests that the translation vector [tex]$\mathbf{t}$[/tex] has a component of -1 in the y-direction. Therefore, we have:

t=(3,−1)

To find the translation vector that maps quadrilateral ABCD to quadrilateral $A"B"C"D"$, we can subtract the coordinates of corresponding vertices. Let $\mathbf{t}$ be the translation vector. Then:

[tex]$$ \begin{align*}\\\mathbf{A}" - \mathbf{A} &= \langle -3 - t_x, -3 - t_y \rangle - \langle -3, -2 \rangle \\\&= \langle -3 - t_x + 3, -3 - t_y + 3 \rangle \\\&= \langle -t_x, -t_y \rangle\end{align*} $$[/tex]

Similarly, we have:

Since [tex]$\mathbf{D}"$[/tex] is not given, we cannot use it to solve for the components of [tex]$\mathbf{t}$[/tex]. However, note that the x-coordinate of [tex]$\mathbf{A}"$[/tex] is -3, which is 3 less than the x-coordinate of [tex]$\mathbf{A}$[/tex]. This suggests that the translation vector [tex]$\mathbf{t}$[/tex] has a component of 3 in the x-direction. Similarly, the y-coordinate of [tex]$\mathbf{B}"$[/tex] is -1, which is 1 more than the y-coordinate of [tex]$\mathbf{B}$[/tex]. This suggests that the translation vector [tex]$\mathbf{t}$[/tex] has a component of -1 in the y-direction. Therefore, we have:

t=(3,−1)

which means that the correct answer is [tex]$\boxed{\langle 3, -1 \rangle}$[/tex]

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The domain of the function is the set of all real numbers

From the question, we have the following parameters that can be used in our computation:

f(x)=^3radx+2-2

Express properly

So, we have the following representation

f(x) = ∛(x + 2) - 2

The above function is a cubic function

A cubic function has no restriction on its input value

This implies that the domain is the set of all real numbers

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Answer:

z=1.4

Step-by-step explanation:

honestly, I'm not that smart so i just looked it up.

but Im pretty sure thats the right answer.

Answer for the conveyer belt moves at 100ft/min from bales of hay to barn loft is given by :

1. Seconds taken by conveyer belt is 60 seconds.

2. Hypotenuse represents the conveyer belt in right triangle.

3. Distance is other information to calculate time.

4. 1 minute = 60 seconds.

Rate at which conveyer belts moves = 100ft/min

⇒1 minute = 100ft

⇒60seconds = 100 ft

1. Seconds taken by bale of hay to move from ground to barn loft is 60 seconds.

2. Conveyer felt represent the hypotenuse of the right triangle.

Feet represents the height , and minutes (time) represents the base.

3. Speed is given to us , to calculate time we should have distance.

4. Relation between minutes and seconds is given by:

1 minute = 60 seconds.

Therefore, for the given conveyer belt moves with 100ft/min answer of the following question are:

1. Seconds taken by moving bale of hay to barn loft is 60 seconds.

2. Conveyer belt represent hypotenuse.

3. To calculate time we need distance apart from speed.

4. One minute is equal to sixty seconds.

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Answer:

x=5/2 and x=0

Step-by-step explanation:

To solve this equation, we first need to get all the terms on one side of the equation by subtracting 3x from both sides:

4x^2 - 7x - 3x = 24

Simplifying, we get:

4x^2 - 10x = 24

Now, we can factor out the GCF (Greatest common factor) on the left side of the equation:

2x(2x-5) = 24

Now we can divide both sides of the equation by 2x(2x-5) to get the solutions for x:

x = 5/2 , x = 0

So the solutions of the equation 4x^2 - 7x = 3x + 24 are x=5/2 and x=0

Answer:

5

Step-by-step explanation:

(1) last season, the new york yankees played 160 games

(2) last season, the new york yankees scored

4 runs per game in exactly 1/5 of their games,  1/5*160 =32 games

5 runs per game in exactly 3/4 of their games, 3/4*160 =120 games

9 runs per game in exactly 1/20th of their games 1/20*160 = 8 games

total runs 4*32+ 5*120 + 9 *8 = 128+600+72 =800

total games 160

average: 800/160 =5

The graph would be a line, where the x-axis represents the distance in miles running, and the y-axis represents the time spent on the treadmill. The points on the graph would be (0,90), (2,78), (4,66), (3,72).

(a) If Annalise only walks on the treadmill, she would spend 15 minutes per mile walking. Since she does a total of 6 miles, she would spend 15 minutes/mile * 6 miles = 90 minutes on the treadmill.

(c) Here are three other combinations for running and walking times on the treadmill:

2 miles running and 4 miles walking: 2 miles * 9 minutes/mile running + 4 miles * 15 minutes/mile walking = 18 minutes + 60 minutes = 78 minutes

4 miles running and 2 miles walking: 4 miles * 9 minutes/mile running + 2 miles * 15 minutes/mile walking = 36 minutes + 30 minutes = 66 minutes

3 miles running and 3 miles walking: 3 miles * 9 minutes/mile running + 3 miles * 15 minutes/mile walking = 27 minutes + 45 minutes = 72 minutes

(d) The graph would be a line, where the x-axis represents the distance in miles running, and the y-axis represents the time spent on the treadmill. The points on the graph would be (0,90), (2,78), (4,66), (3,72).

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The line y = -3/2(x) + 3 has a slope of negative three halves and a y-intercept of 3.

The correct option is C.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

We have a graph that has a slope of negative three halves and a y-intercept of 3.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂),

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁).

A). Line passing through the points (0, 2) and (3, 0).

y - 2 = 2/3(x)

y = 2/3(x) + 2.

This is not a required line.

B). Line passing through the points (0, 2) and (2, -1).

y - 2 = -3/2(x)

y = -3/2(x) + 2.

This is not a required line.

C).  Line passing through the points (0, 3) and (2, 0).

y - 3 = -3/2(x)

y = -3/2(x) + 3.

This is a required line.

D). Line passing through the points (0, 3) and (3, 1).

y - 3 = -2/3(x)

y = -2/3(x) + 3.

This is not a required line.

Therefore, y = -3/2(x) + 3 is a required line.

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Answer:

The line y = -3/2(x) + 3 has a slope of negative three halves and a y-intercept of 3.

The correct option is C.

Step-by-step explanation:

The apothem of a regular pentagon exists [tex]$4.6797 \mathrm{~cm}$[/tex], and the perimeter exists [tex]$34 \mathrm{~cm}$[/tex]. The area equals [tex]$79.55 \mathrm{~cm}^2$[/tex].

It is a regular pentagon if all of its sides and angles are equal in size. It is not normal if not. Each angle inside the regular pentagon is 108°, while each angle outside is 72°. There are 5 equal sides in an equilateral pentagon.

Five congruent sides (sides of identical length), five congruent inner angles (each measuring 108°), and five congruent outer angles of 72° are necessary for a regular pentagon to exist.

If a polygon's sides and angles are equal, it is said to be regular. As a result, an equilateral triangle is a regular triangle, and a regular quadrilateral is a square.

Therefore, the correct answer is option c) The apothem of a regular pentagon is [tex]$4.6797 \mathrm{~cm}$[/tex], and the perimeter is [tex]$34 \mathrm{~cm}$[/tex]. The area equals [tex]$79.55 \mathrm{~cm}^2$[/tex].

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The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer: 77 degrees

Step-by-step explanation:

Ratio of the angles = 5 : 7 : 9 = 5x : 7x : 9x

5x + 7x + 9x = 21x

180 = 21x

x = 180/21

Largest angle = 9x,

= 9 * 180/21

= 540/7

540/7 = 77.14285...

Which is rounded to 77 degrees :>

The statement that best describes Annie’s attitude toward her upcoming assignment in this excerpt is "she is studious and eager to share her knowledge"

Annie is all about maintaining optimism and hope throughout life's journey, no matter the circumstances.

The young orphan Annie has led a difficult life in the cruel matriarch Miss Agatha Hannigan's anything-but-cheerful orphanage. With a shattered necklace, she stealthily leaves her orphanage and goes in search of her parents, who she hopes would adopt her.

She may be the offspring of a Marleyan and an Eldian liaison, and her parents abandoned her when she was a baby. But after being transported to the Internment Zone, a guy took her up and started to train her as a warrior so that he could live better in Marley.

Therefore, Annie is studious and eager to share her knowledge.

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The resultant answer of the given equation 7 – 5p + 3q is 23.

A math formula is a formula that uses the equal sign to represent the equivalence of two expressions.

The meanings of the word equation and its cognates in various languages can vary slightly.

For instance, in French, an equation is defined as having one or more variables, whereas in English, an equation is any well-formed formula that consists of two expressions linked by the equals sign.

by inserting the provided values, we must determine the value of the given equation.

The result is obtained by changing the values of p and q in the above equation.

Thus, if p = 1 and q = 7.

So, we get the equation: 7 – 5p + 3q

Calculate as follows:

7 – 5(1) + 3(7)

7 – 5 + 21

28 – 5

23

Therefore, the resultant answer of the given equation 7 – 5p + 3q is 23.

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Correct question:

Evaluate 7-5{p}+3q7−5p+3q7, minus, 5, p, plus, 3, q when p=1p=1p, equals, 1 and q=7q=7q, equal, 7.

Answer: x=10

Step-by-step explanation:

x is an unknown number trying to figure out what number equals 20? You subtract 10 from 20 to figure out x.

After inspecting the graph, when x=0  y is 6 so the constant is +6 which is Positive

What is polynomial function ?

A polynomial characteristic is a function that includes handiest non-bad integer powers or simplest tremendous integer exponents of a variable in an equation like the quadratic equation, cubic equation, and so forth. for example, 2x+5 is a polynomial that has exponent same to one.

Given ,

The graph is a polynomial function.

This is an odd degree polynomial since end behavior is +infinitely when x is positive and -infinity when x is negative

For an even degree polynomial en behavior will be positive regardless of the sign as a negative number raised to an even power is always positive

The leading coefficient is positive other wise the function would be flipped around the x axis

Inspect the graph. when x=0  y is 6 so the constant is +6 which is Positive

Hence , After inspecting the graph, when x=0  y is 6 so the constant is +6 which is Positive

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At a large museum, there are 60 people in each tour group. so that the ordered pairs are 1 - 60 peoples, 2 - 120 peoples, 3 - 180 peoples, 4 - 240 peoples, 5 - 300 peoples, 6 - 360 peoples etc.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

In order to understand a point visually, it can be helpful to position it on the Cartesian plane.

An ordered pair's numerical values may be fractions or integers.

Given that, at a large museum, there are 60 people in each tour group.

In 1 group there are 60 peoples.

In 2 group there are 2 * 60 = 120 peoples.

In 3 group there are 3 * 60 = 180 peoples.

like this the correct ordered pairs are 1 - 60 peoples, 2 - 120 peoples, 3 - 180 peoples, 4 - 240 peoples, 5 - 300 peoples, 6 - 360 peoples etc.

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Hi There!

Your Answer could be 8 don't trust me i might be wrong

From the triangle KLM inside the circle, the value of KM is calculated. And, the value is 1.2079.

A triangle is a polygon made up of three vertices, three angles, and three sides. First, draw a circle with a midpoint represented by O. Then, draw a triangle KLM inside a circle. Now, construct the line segments KO, MO, and LO because they form the circle's radius.

Given that KL = LM. Since two sides of the triangle KLM is equal, it is an isosceles triangle. Also, ∠K=∠M=17°. The total angle of this triangle is 180°. Then, ∠L=180°-17°-17°=146°.

Half the angle L is 73°. Then, ∠KLO=∠MLO=73°.

Consider triangle KLO, this triangle is also isosceles because KO = LO. Then, ∠KLO=∠OKL=73°.

Now, ∠KOL is calculated as follows from the triangle KLO,

[tex]\begin{aligned}\angle KOL&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}[/tex]

Similarly, consider triangle MLO, this triangle is also isosceles because LO=MO. Then, ∠MLO=∠OML=73°.

Now, ∠LOM is calculated as follows from the triangle MLO,

[tex]\begin{aligned}\angle LOM&=180^{\circ}-73^{\circ}-73^{\circ}\\&=34^{\circ}\end{aligned}[/tex]

Then,

[tex]\begin{aligned}\angle KOM&=\angle KOL+\angle LOM\\&=34^{\circ}+34^{\circ}\\&=68^{\circ}\end{aligned}[/tex]

Using, the cosine law of the triangle KOM, we get,

[tex]\begin{aligned}(KM)^2&=1.08^2+1.08^2-2(1.08)(1.08)\cos 68^{\circ}\\&=2.3328-2.3328(\cos 68^{\circ})\\&=2.3328(1-\cos 68^{\circ})\\&=2.3328(0.6254)\\&=1.4589\\KM&=\sqrt{1.4589}\\&=1.2079\end{aligned}[/tex]

Therefore, the required answer is 1.2079.

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Answer:

See below

Step-by-step explanation:

1/2 + 1/3 w = 1/6     subtract 1/2 from both sides of the equation

1/3 w = - 2/6           multiply both sides by 3

w = -1

The probability that tails will turn up and that he will choose a red card is 1/6.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The probability of choosing a tail is 0.5.

The probability of choosing ref card is 1/3.

Therefore, the probability will be:

= 1/2 × 1/3

= 1/6

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The correct option regarding the median of each data-set is given as follows:

The median of the number of hours spent volunteering by each student in Sophia's homeroom is less than the median of the number of hours spent volunteering by each student in the tenth-grade class.

The median of a data-set is the middle value of a data-set, the value of which 50% of the measures are less than and 50% of the measures are greater than. Hence, the median also represents the 50th percentile of a data-set.

For Sophia's Homeroom, the total number of students is given as follows:

4 + 9 + 3 + 7 = 23.

Hence the median is the 12th element, which is on the interval 10-19.

For the Tenth Grade class, the total number of students is given as follows:

42 + 38 + 65 + 40 = 185.

Hence the median is the element at the position (185 + 1)/2 = 93, which is on the interval 20-29.

Hence the median is the 12th element, which is on the interval 10-19.

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We would need to add 8 more sets of 3 candies to 23 candies in order to have the same amount as Casey.

To find this, we can divide the total amount of candy Johnny has (23) by the amount of candy Casey has (3) and round up to the nearest whole number:

(23) / (3) = 7.666...

Since we can't have a fraction of a set of candies, we must round up to the nearest whole number, which is 8.

So, to have the same amount of candy as Casey, we would need to add 8 more sets of 3 candies to Johnny's 23 candies.

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Broderick needs $610.00 in his account to cover his checks.

We know that the balance Boderick has is $420.

First, we will calculate the total amount of the 6 deposits made by Broderick each of $35.50 deposit as follows -

$35.50 x 6 = $213.00

Hence, the total amount of the 6 deposits made by Broderick is $213.00

Next, we will calculate the total amount of the 4 checks he needs to write-

$310.75 x 4 = $1243.00

Hence, the total amount of the 4 checks that Broderick needs to write is $1243.00

Now we will find the final balance of Broderick's account after all the deposits and check withdrawals. We can do this by adding the total amount of the deposits to his initial balance and subtracting the total amount of the checks as follows-

$420.00 + $213.00 - $1243.00 = -$610.00

Thus, Broderick needs $610.00 in his account to cover his checks.

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The complete question is -

Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each. How much money does Boderick need to add to his account to cover his checks? Show your work.