When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?t{Original Equation:}Original Equation:-9(-6x^2+6) - 5 =−9(−6x 2+6)−5= -7x2+3−7x 2 +3First Step:-9(-6x^2+6) =−9(−6x 2 +6)=, -7x2+8−7x 2+8

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones produced abroad and y represent the number of phones produced locally.

The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:

30x + 20y = 6000            (1)

Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:

20x + 60y = 12000           (2)

Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:

70x = 6000

x = 600/7 ≈ 86

Put x = 86 in equation 1:

30(86) + 20 y = 6000

20y = 3420

y = 171

86 phones should be produced abroad and 171 phones locally

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

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Explanation:

We'll start things off by computing the inner function u(2)

Plug x = 2 into the u(x) function

u(x) = -x-1

u(2) = -2-1

u(2) = -3

This tells us that w(u(2)) is the same as w(-3). I replaced u(2) with -3.

We'll plug x = -3 into the w(x) function

w(x) = 2x^2-1

w(-3) = 2(-3)^2 - 1

w(-3) = 2(9) - 1

w(-3) = 18-1

w(-3) = 17

Therefore, w(u(2)) = 17

------------------------

Here's a slightly different approach:

Let's find what w(u(x)) is in general

w(x) = 2x^2 - 1

w(u(x)) = 2(u(x))^2 - 1

w(u(x)) = 2(-x-1)^2 - 1

Then we can plug in x = 2

w(u(x)) = 2(-x-1)^2 - 1

w(u(2)) = 2(-2-1)^2 - 1

w(u(2)) = 2(-3)^2 - 1

w(u(2)) = 2(9) - 1

w(u(2)) = 18 - 1

w(u(2)) = 17

The value of x is SU/RV.

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.


Given: SU = RV

Step 1: Set up the proportion using the given information
SU/RV = x/1

Step 2: Solve the proportion for x
SU/RV = x/1
Multiply both sides by 1: SU/RV * (1/1) = x/1 * (1/1)
SU/RV = x

Step 3: Substitute and solve
SU/RV = x
SU/RV = x
x = SU/RV

Therefore, the value of x is SU/RV.

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Answer:

72% of 30 is 21.6

Step-by-step explanation:

Write 72/100 as a fraction, then multiply it by 30.

72/100 X 30 = 21.6

Calucator 72 ÷ 100 x 30 = 21.6

72 percent of the value 30 will be:  \(\frac{18}{25} * 30 = 21.6\) we get this value by using  fraction method.

A fraction represents a whole object or part of a collection. A fraction consists of two parts. The number at the top of the line is called the counter. Indicates how many equal parts of the whole or collection are taken. The number below the line is called the denominator. This gives the total number of equal parts divided into a whole, or the total number of equal objects in a collection.

If you divide the whole evenly, the number of parts will be a fraction.

If you divide the pie into 8 halves and place one of them on a plate, each plate is said to contain one-eighth of his pie. It is read as "one eighth" or "one times eight".

We know that:

4% of a number = \(\frac{1}{25}\)

therefore 4*18 = 72% of the same number will be: \(\frac{18}{25}\)

So we can say that \(\frac{18}{25} * 30 = 21.6\)

So the value of 72% of thee number 30 will be: 21.6

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Answer:

here it is

Step-by-step explanation:

hope u understand my dear

The lowest temperature in January is -10°C if the lowest temperature in January is less than -6°C.

A scaled way of measuring how hot or how chilly something is a living body's normal level of heat production; see thermometer. a condition of extreme body heat with an average oral temperature of 98.6°F. The ideas of hotness and coolness are expressed numerically as a physical value called temperature.

The calibration of thermometers involves employing a variety of temperature scales with clearly defined reference points and thermometric materials. The Celsius scale (°C), formerly known as centigrade, with the unit symbol °C, is the most commonly used scale, followed by the Fahrenheit scale (°F) and the Kelvin scale (K), which is mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

Given,

Less than 6° was the lowest temperature recorded in January.

The lowest temperature in January will be=?

It is -10°C.

Therefore, the lowest temperature in January is -10°C.

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Answer:

x=17

Step-by-step explanation:

Product means multiply  is means equals

2x = 34

Divide each side by2

2x/2 = 34/2

x = 17

Let r be a partial order on set S, and let t be a subset of S. If a and a' are both elements of t, where a is the greatest element and a' is a maximal element, then it can be proven that a = a'.

To prove that a = a', we consider the definitions of greatest and maximal elements. The greatest element in a set is an element that is greater than or equal to all other elements in that set. A maximal element, on the other hand, is an element that is not smaller than any other element in the set, but there may exist other elements that are incomparable to it.

Given that a is the greatest element in t and a' is a maximal element in t, we can conclude that a' is not smaller than any other element in t. Since a is the greatest element, it is greater than or equal to all elements in t, including a'. Therefore, a is not smaller than a'.

Now, to prove that a' is not greater than a, suppose by contradiction that a' is greater than a. Since a' is not smaller than any other element in t, this would imply that a is smaller than a'. However, since a is the greatest element in t, it cannot be smaller than any other element, including a'. This contradicts our assumption that a' is greater than a.

Hence, we have shown that a is not smaller than a' and a' is not greater than a, which implies that a = a'. Therefore, if a is the greatest element and a' is a maximal element in t, then a = a'.

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American adults believes in alien for the  given 95% confidence interval and sample surveyed is in the interval range of ( 0.66 , 0.78 ).

As given in the question,

Sample of American adults surveyed 'n' = 200

Percent of people believes in aliens are success  'p'= 72%

                                                                                      = 0.72

Percent of people who don't believes (failure) in aliens ' 1 - p'  = 1 - 0.72

                                                                                          = 0.28                                                                                    

95% Confidence interval that represents Americans adults who believes in aliens

value of z - score for 95% confidence interval = ± 1.96

Margin of error 'MOE'= (z-score)√p ( 1- p) /n

                                   = ( 1.96)√(0.72 × ( 1 - 0.72 )/ 200

                                   = 1.96 ( √0.2016 / 200)

                                   = 1.96 ×√0.001008

                                   = 0.063

Lower limit = p - MOE

                 = 0.72 - 0.063

                 = 0.66

Upper limit =  p + Margin of error

                 = 0.72 + 0.063

                 = 0.78

Therefore, 95% confidence interval with sample size of the Americans adults who believes in alien are in the interval of ( 0.66 , 0.78 ).

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Answer: \(10\ cm^3\)

Step-by-step explanation:

Given

The surface area of a rectangular prism is \(34\ cm^2\)

Width of prism \(w=1\ cm\)

Length of prism \(l=2\ cm\)

height of prism \(h=x\ cm\)

Surface area is given by

\(S.A.=2[lw+wh+hl]\)

Put values

\(34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm\)

Now, the volume of Prism is given by

\(V=l\times w\times h\)

\(\Rightarrow V=2\times1\times 5=10\ cm^3\)

Pie charts are most effective with ten or fewer slices because they become visually cluttered and difficult to interpret when there are too many slices.

The purpose of a pie chart is to represent the proportional distribution of different categories or segments within a whole.

With fewer slices, it is easier for viewers to compare the sizes of the segments and understand the relative proportions they represent.

When there are too many slices, the chart can become overcrowded, making it challenging to differentiate between the slices and accurately perceive their proportions.

To maintain clarity and effectiveness, it is generally recommended to limit the number of slices in a pie chart to ten or fewer.

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Answer:

together their year=56 years

younger then his mother=24

56-24=32

Answer:

NEED BETTER PICTURE

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

4+4=8

The dimension of the max garden is 125*125 and the max area is 15625 square feet.

Let the length and width of the garden be L and B.

Now, let the barn is along the width. So, now the width became = B-50

So the perimeter = 2(L+B-50)

Now to fence the garden we need 400 feet material.

So, 2(L+B-50) = 400

L+B-50 = 200

B = 250-L .........(i)

So the area of the total garden is given by,

A = LB = L(250-L) \(=250L-L^2\)

So now differentiating the area with respect to length,

dA/dL = 250-2L

\(\frac{d^2A}{dL^2}=\) -2

Now, dA/dL = 0 gives,

250-2L = 0

2L = 250

L= 125

At L = 125, \(\frac{d^2A}{dL^2}=-2 < 0\)

Max A = \(250\times125-125^2=15625\) square feet

So area is maximum when L = 125 feet.

Then the width = B = 250-125 = 125 feet.

Hence the dimension of the max garden is 125*125 and the max area is 15625 square feet.

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1) (a) The transformations that occur from the parent function are horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) (-2, -4)

(c) Graph is given below.

1) Given a function,

g(x) = (x + 2)² - 4

(a) Given a parent function p(x) = x².

We can write g(x) as,

g(x) = p(x + 2) - 4

So the transformation is horizontal translation of 2 units to the left and vertical translation of 4 units to the down.

(b) Vertex formula of a parabola is,

y = a (x - h)² + k, where (h, k) is the vertex.

Comparing the given function with vertex form,

Vertex of the parabola = (-2, -4)

(c) Graph of g(x) will be a parabola with vertex at (-2, -4).

It is given below.

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To sketch the region bounded by the curves y = ex, y = 0, x = 0, and x = 4, we first plot the curves on a coordinate plane:

The curve y = ex represents an increasing exponential function that starts at the origin and rises rapidly as x increases. The curve never intersects the x-axis.

The curve y = 0 represents the x-axis, which is a horizontal line passing through the origin.

The line x = 0 represents the y-axis, which is a vertical line passing through the origin.

The line x = 4 represents a vertical line that intersects the x-axis at x = 4.

To find the exact coordinates of the centroid, we need to calculate the x-coordinate and y-coordinate of the centroid.

The x-coordinate of the centroid (x-bar) can be calculated using the formula:

x-bar = (1/A) * ∫(x * f(x)) dx

where A is the area of the region and f(x) is the height function.

In this case, the height function is f(x) = ex.

The y-coordinate of the centroid (y-bar) can be calculated using the formula:

y-bar = (1/A) * ∫(f(x)) dx

To find the area A, we can integrate the function f(x) = ex from x = 0 to x = 4:

A = ∫[0, 4] ex dx

To find the x-coordinate of the centroid:

x-bar = (1/A) * ∫[0, 4] (x * ex) dx

And to find the y-coordinate of the centroid:

y-bar = (1/A) * ∫[0, 4] ex dx

We can evaluate these integrals to find the exact coordinates of the centroid.

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1. The time taken for the water to fall that much is 0.2 s

2. The initial speed of the water is 4 m/s

h = ½gt²

0.2 = ½ × 9.8 × t²

0.2 = 4.9 × t²

Divide both side by 4.9

t² = 0.2 / 4.9

Take the square root of both side

t = √(0.2 / 4.9)

t = 0.2 s

s = ut

Divide both sides by t

u = s / t

u = 0.8 / 0.2

u = 4 m/s

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A parabola's vertex form equation is as follows:

y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.

To use a calculator to find the equation of a parabola in vertex form, you would typically need to know the coordinates of the vertex and at least one other point on the parabola.

Determine the vertex coordinates (h, k) of the parabola.

Identify at least one other point on the parabola (x, y).

Substitute the values of the vertex and the additional point into the equation y = a(x - h)^2 + k.

Solve the resulting equation for the value of 'a'.

Once you have the value of 'a', substitute it back into the equation to obtain the final equation of the parabola in vertex form.

Note: If you provide specific values for the vertex and an additional point, I can assist you in calculating the equation of the parabola in vertex form.

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Answer:

See Picture

Step-by-step explanation:

Also I notice you do Gacha by your pfp. That's nice. I'm actually a gacha person myself. I do memes and stuff. Well, I just wanted to point that out. Anyways, be sure to mark me brainliest!

Answer:

Y = 1.50000

X = 1.50000

I don't understand the question, hopefully this is what you are looking for.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Answer:

270

Step-by-step explanation:

so u would take 6 and 45 and multiplay

Answer:

90%

Step-by-step explanation:

Step 1: We make the assumption that 50 is 100% since it is our output value.

Step 2: We next represent the value we seek with X.

Step 3: From step 1, it follows that 100%=50.

Step 4: In the same vein, X%=45.

Step 5: This gives us a pair of simple equations:

100%=50(1)

X%=45(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); We have

100%/X% = 50/45

Step 7: Taking the inverse (or reciprocal) of both sides yields

X%/100% = 45/50

X= 90%

Therefore, 45 is 90% of 50.

Answer:

1dm = 10cm

Simple as it is

Answer:

The term “Deci” means one-tenth, and therefore decimetre means one-tenth of a meter. Since a meter is made up of 100 cm, one-tenth of 100 cm is 10 cm. Thus one decimeter measures 10 cm.

Step-by-step explanation:

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Answer:

(1,-1)

Step-by-step explanation:

-2x-1 = x+2

-3x = 3

x = -1

substitute

y = (-1) + 2

y = 1

point: (1,-1)