g(x)= 3log(x+7)-8is this function going hirizontal shift left 7 and A vertical Shift down 8?

The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Answer:

m < \(\frac{36}{31}\)

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

               -7+5*(9*m-7)-(9*m-2-9)<0  

Step by step solution :

STEP  1

:

Equation at the end of step 1

 (-7 +  5 • (9m - 7)) -  (9m - 11)  < 0  

STEP  2

:

Equation at the end of step 2

 36m - 31  < 0  

STEP  3:

3.1    Divide both sides by  36  

     m-(31/36)  < 0

Solve Basic Inequality :

3.2      Add  31/36  to both sides

            m < \(\frac{31}{36}\)

The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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Answer:

this is the awnser: 80 + 4 + 0.7 + 0.06

Answer:

23,958 =

 20,000  

+ 3,000  

+ 900  

+ 50  

+ 8  

Expanded Factors Form:

   23,958 =

 2 × 10,000  

+ 3 × 1,000  

+ 9 × 100  

+ 5 × 10  

+ 8 × 1  

Expanded Exponential Form:

 23,958 =

2 × 104

+ 3 × 103

+ 9 × 102

+ 5 × 101

+ 8 × 100

Step-by-step explanation:

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

  5/10

Step-by-step explanation:

An equivalent fraction will have the numerator and denominator multiplied by the same value.

The denominator of 2 must be multiplied by 5 to get a denominator of 10. Then the equivalent fraction is ...

  \(\dfrac{1}{2}=\dfrac{1}{2}\cdot\dfrac{5}{5}=\dfrac{1\cdot5}{2\cdot5}=\boxed{\dfrac{5}{10}}\)

*see attachment for the megaphone being referred to here

Answer:

9%

Step-by-step explanation:

==>Given:

Conical megaphone with the following dimensions:

Slant height (s) = 2.25 ft

Diameter (D) = 1.2 ft (radius r = 0.6 ft)

π = 3.1

Area covered by sticker on one side = area of square = 6 in × 6 in = 0.5 ft × 0.5 ft = 0.25 ft²

==>Required

% of the surface of area of the conical megaphone that is covered by the sticker = area covered by the sticker ÷ surface area of megaphone × 100

==>SOLUTION

Area covered by sticker on both sides = 0.25 ft² + 0.25 ft² = 0.5 ft²

Surface area of the megaphone = surface area of a cone = πrs + πr²

S.A of megaphone = (3.14 × 0.6 × 2.25) + (3.14 × 0.6²)

S.A = 4.239 + 1.1304

S.A = 5.3694 ft²

Therefore, % of the surface of area of the conical megaphone that is covered by the sticker = 0.5 ÷ 5.3694 × 100

= 9.31202741

= 9%

Answer:

Statistics show the megaphone was a success in South Carolina.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 9 - -7)/( 3 - -1)

   = (9+7)/(3+1)

   =16/4

   = 4

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

-2,750x + y = 18,000  --> standard

Step-by-step explanation:

Linear Modeling

Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The pool being drained contained initially 18,000 gallons of water. If we set the variable x as the time in hours and y as the remaining gallons of water in the pool, this first point is (0;18,000).

We are also aware that after 2 hours 12,500 gallons of water remain. This gives us the second point as (2;12,500).

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

Let's find the equation of the line with the 2 points:

\(\displaystyle y-18,000=\frac{18,000-12,500}{2-0}(x-0)\)

Calculating:

\(\displaystyle y-18,000=\frac{5,500}{2}(x-0)\)

\(y-18,000=2,750(x-0)\)

The equation above is the point-slope form of the line

Simplifying and adding 18,000:

\(y=2,750x+18,000\)

The equation above is the slope-intercept form of the line

Moving all the variables to the left side:

\(-2,750x + y = 18,000\)

The equation above is the standard form of the line

Answer:

y-18,000=2,750(x-0) --> point-slope

y=2,750x+18,000   --> slope-intercept

-2,750x + y = 18,000  --> standard

In calculus, we can find the maximum and minimum value of any function or variable without on looking at the graph of the function.

Maxima will be the giant point on the curve within the given range and minima would be the minimum point on the curve. The combination of both is extrema.

Since 0 ≤ x^2 + y^2 ≤ 6, we have e^ (6*0) ≤ e^ (6(x^2 + y^2)) ≤ e^ (6*6) on D.

So, ∫∫ 1 dA ≤ ∫∫ e^ (6(x^2 + y^2)) dA ≤ ∫∫ e^36 dA

==> 6π ≤ ∫∫ e^ (6(x^2 + y^2)) dA ≤ 6π * e^36, since the area of D is 6π.

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A is proportional to x² and inversely proportional to t³ would be expressed expressed as the equation: A = kx²/t³.

The constant of proportionality, k is usually expressed as k = y/x, and the equation of the proportional relationship is y = kx. Thus, for inverse proportion, the equation that models the relationship can be expressed as, y = k/x.

Thus, if k is the constant of proportionality, we would express the given statement as explained below.

The "square of x" is expressed as x²

A is proportional to x² is expressed as: A = kx².

The cube of t is: t³.

Thus, A is proportional to x² and inversely proportional to t³ would be expressed expressed as the equation: A = kx²/t³.

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Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.

In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.

To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).

It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.

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Answer:

about half the fish in the pond are trout

Step-by-step explanation:

Answer:

about half of the fish in the pond are trout

The three accοmpanying questiοns, assuming that the firm is prοfit-maximizing and dοes nοt shut dοwn in the shοrt run

1)Firm's Tοtal Revenue=  $78000

2)Firm's Tοtal Cοst =$128700

3)Firm's Lοss = - $50700

Wοrd prοblems are οften described verbally as instances where a prοblem exists and οne οr mοre questiοns are pοsed, the sοlutiοns tο which can be fοund by applying mathematical οperatiοns tο the numerical infοrmatiοn prοvided in the prοblem statement. Determining whether twο prοvided statements are equal with respect tο a cοllectiοn οf rewritings is knοwn as a wοrd prοblem in cοmputatiοnal mathematics.

Here in the given graph,

Cοst per unit = $300

Equilibrium quantity = $260 Then,

Firm's Tοtal Revenue = P * Q

=> $300*260 = $78000 (Equilibrium where, MR = MC)

Firm's Tοtal Cοst = Cοst per Unit * equilibrium quantity

=> $495*260 = $128,700

Firm's Lοss = TR - TC

=> $78000 - $128,700 = - $50700

Hence the answers are,

1)Firm's Tοtal Revenue=  $78000

2)Firm's Tοtal Cοst =$128700

3)Firm's Lοss = - $50700

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Answer:

Step-by-step explanation:

The relation that is a function is the relation (b)

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

The relations (1) to (4) represent the given parameter

Next, we test the options

Relation (a)

This relation is not a function

This is because it the vertical line test i.e. some output values all point to the same input value,

Relation (b)

This relation is a function

This is because the inputs all point to different output values

Relation (c)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Relation (d)

This relation is not a function

This is because it fails the vertical line test i.e. some output values all point to the same input value,

Hence, the relation that represents a function is option (b)

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Answer:

its C

Step-by-step explanation:

Answer:

the answer is B) 24.

Step-by-step explanation:

To find the lateral surface area of the triangular prism, we need to find the perimeter of the base and then multiply it by the height of the prism.

Looking at the net, we can see that the base is a triangle with sides of length 3 cm, 4 cm, and 5 cm. So the perimeter of the base is:

3 cm + 4 cm + 5 cm = 12 cm

The height of the prism is given as 2 cm. Therefore, the lateral surface area is:

12 cm x 2 cm = 24 cm²

So the answer is B) 24.

IF THIS HELPED, CAN YOU PLEASE GIVE 5⭐? thank you

Answer:

d

Step-by-step explanation:

The freight charge on a shipment of 1200 kg is $84.00. So, the rate per 100 kg would be $7.00. option D is correct.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that the freight charge on a shipment of 1200 kg is $84.00. we need to find the rate per 100 kg.

So, by the unitary method,

The freight charge on a shipment of 1200 kg = $84.00.

The freight charge on a shipment of 1 kg = 84/ 1200

The freight charge on a shipment of 100 kg = 84/ 1200

                                                                           = 84 x 100/ 1200

                                                                            = $7.00

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Answer: \(\angle XWY \cong \angle ZWY\)

Step-by-step explanation:

We know that \(\overline{WY} \cong \overline{WY}\) by the reflexive property, so we need the included angles to be congruent (meaning \(\angle XWY \cong \angle ZWY\)

3) The equation of the linear model would be y = 7.5x+60.

4) If Adam studies for 6 hours then his score would be 88.

What is the Linear equation?

An algebraic equation with only a constant and a first-order (linear) term is said to be linear if it has the formula y = mx + b, where m is the slope and b is the y-intercept. The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.

y = mx + c

where m denotes the slope.

The y-intercept is represented by the constant c. (Where x is zero)

In our instance, y-intercept equals 60.

The line's equation will therefore be:

y = mx + 60

y = mx + 60

There are given the line's coordinates (4, 90). These considerations will thus satisfy the equation.

90 = 4*m + 60

4.m = 30 m = 7.5 m = 7.5 y = 7.5x + 60 y = 7.5 * 6 + 60 y = 45 + 60 y = 105 is

y = 7.5x + 60.

If Adam's study for 6 hours then his score would be

y = 7.5x + 60.

y = 7.5(6) + 60

y = 105

Hence,

3) The equation of the linear model would be y = 7.5x+60.

4) If Adam studies for 6 hours then his score would be 88.

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1. Mean = 33.61

2. Standard Deviation = 11.3284

3. Variance = 128.33

The given data are: \(22.8, 49.8, 17.5, 44.1, 33.2, 20.6, 43.2, 37.7\)

To get mean, we will sum up all the numbers and divide by the total count. The mean is:

= (22.8 + 49.8 + 17.5 + 44.1 + 33.2 + 20.6 + 43.2 + 37.7) / 8

= 268.9 / 8

= 33.62

Standard Deviation: \(\sqrt((22.8 - 33.61)^2 + (49.8 - 33.61)^2 + (17.5 - 33.61)^2 + (44.1 - 33.61)^2 + (33.2 - 33.61)^2 + (20.6 - 33.61)^2 + (43.2 - 33.61)^2 + (37.7 - 33.61)^2) / 8\)

= \(\sqrt{128.3336}\)

= 11.3284420818

= 11.3284

Variance = (Standard Deviation)^2

Variance = \(11.3284 ^2\)

Variance = 128.33264656

Variance = 128.33.

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The solution that is the closest estimate of the amount of glass Maria will need to construct her pyramid would be =5289.25 cm squared. That is option C.

To calculate the area of a square based pyramid, the formula that should be used would be given below as follows:

\(area = {a}^{2} + 2a \sqrt{ \frac{a2}{4} } + {h}^{2} \)

Where:

a= 44cm

height= 44²-22²= 38.1cm

Area= 44²+ 2(44) × √44²/4 + 38.1²

= 1936+88 × √ 484+1452

= 2024× √1936

= 5807.61 cm².

Therefore the closest estimate to the final answer would be 5289.25 cm squared

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People at the concession stand as input Cost of their order's output.

(1) The relation in question is a function.

(II) This function is not constant. (Each category of concession has a different order cost.)

Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)

A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.

The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.

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Answer:

b

Step-by-step explanation:

\( {x}^{ - \frac{5}{3} } = = = > \\ \frac{1}{x} ^{ \frac{5}{3} } \)

So the root is 3 and the power is 5

finally your answer

\( \frac{1}{ \sqrt[3]{ {x}^{5} } } \)

Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.

What is Logical Error/Fallacies?

Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.

Basic Logic - knowing the study of current reasoning is basic logic.

Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.

Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the  promises that he did.

Legislative assembly member's contestant told in his addressing that we  promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .

Therefore, this is an example of logical error.

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Answer:

0.206897

Step-by-step explanation:

it is 0.206897 because you have take the whole make uneven fraction an add it to 60 in 60/72 to get 348 divided equals 0.206897

The decimal representation of expression 4(60/72) is approximately 4.8333...

We have,

To find the decimal representation of 4(60/72), we can perform the division and multiplication:

4(60/72)

This can be written as,

(72 x 4 + 60) / 72

Simplifying the fractions.

348/72

Divide the numerator by denominator.

4.83333

Thus,

The decimal representation of expression 4(60/72) is approximately 4.8333...

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A) Composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks is f[s(w)] = 50w + 25.

B) The unit of measurement for the composite function is flowers.

C) Number of the flowers for 30 weeks will be 1525.

A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f[s(w)] = 50w + 25. and the number of flowers for 30 weeks is 1525.

Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks.

From the given data we will find the function for the number of flowers with time.

f(s) = 2s + 25

We have  s(w) = 25w

f[(s(w)]=2s(w) + 25

f[(s(w)] = 2 x ( 25w ) +25

f[s(w)] = 50w + 25.

Part B: What are the units of measurement for the composite function in Part A

The expression f[s(w)] = 50w + 25 will give the number of the flowers blooming over a number of the weeks so the unit of measurement will be flowers.

Part C: Evaluate the composite function in Part A for 30 weeks.

The expression f[s(w)] = 50w + 25 will be used to find the number of flowers blooming in 30 weeks put the value w = 30 to get the number of the flowers.

f[s(w)] = 50w + 25.

f[s(w)] = (50 x 30) + 25.

f[s(w)] = 1525 flowers.

Therefore the composite function is f[s(w)] = 50w + 25. unit will be flowers and the number of flowers in 30 weeks will be 1525.

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Answer:

Prefer the attachment for ur ans.