5(x+3)-3x^2 when x is -1.4

\( \sf \dashrightarrow(x - 4) {}^{2} \)

\( \\ \\ \)

\( \sf \dashrightarrow {x}^{2} + {4}^{2} + 2 \times 4 \times x\)

\( \\ \\ \)

\( \sf \dashrightarrow {x}^{2} + 16 + 8x\)

Answer:

91 Republicans, 65 Democrats

The difference is 26.

Step-by-step explanation:

Let d be the number of Democrats and r be the number of Republicans. We have

d/r = 5/7, so d = (5/7)r

r + (5/7)r = 156

(12/7)r = 156

r = 91, d = 65, so r - d = 26

Answer:

Step-by-step explanation:

A. The data appears to be reported. The heights occur with roughly the same frequency.

A histogram is a graphical representation of a frequency distribution, where the x-axis represents the values of the data, and the y-axis represents the frequency of those values. If the heights are reported, the last digit of the heights should be randomly distributed and the frequency of each digit should be roughly the same, which is the case in a histogram with uniform distribution. This is in contrast to a histogram with non-uniform distribution, where certain heights occur a disproportionate number of times, which is more likely to happen when the heights are measured. Therefore, based on the information provided, it can be concluded that the data appears to be reported.

Answer:

Domain:(−∞,∞),{x|x∈R}(-∞,∞),{x|x∈ℝ}

Range:{−377}

Step-by-step explanation:

Answer: both of you have a lead yet but you can get it right away if I can see you guys again in a developer way but I have a game pass

Step-by-step explanation: yes

Answer:

8.4

Step-by-step explanation:

(7/8) (4) = 3.5

(1/10) (8) = 0.8

3.5 × 0.8 × 3 = 8.4

Hope this helps.

Answer:

Congruence in two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

hope this helps mark me brainliest

Step-by-step explanation:

I think the answer is $32.78

Answer:

false

Step-by-step explanation:

when graphing a proportional relation ship you should be able to draw a straight through all the points

example

The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

Explanation:

From vertex form of quadratic function g(x)=a(x-h)²+k  the h and k are coordinates of vertex transformed from point (0,0) which is the vertex of parental function f(x)=ax²

It means the h determines how many units we moved parental graph horizontaly (to the left  if h<0, to the right if h>0) and the k determines how many units we moved parental graph verticaly  (down if h<0, up if  h>0)

g(x) = (x - 8)² + 5  ⇒  h = 8,  k = 5

So if h and k are >0 it means the parental graph was moved to the right and up.

The side a = 5.12 approximately to two decimal places using the cosine rule.

In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Considering the ∆ABC, line a is calculated with cosine rule as follows;

a² = b² + c² - 2(b)(c)cosA

a² = 7² + 9² - 2(7)(9)cos35°

a² = 49 + 81 - 126(0.8192)

a² = 130 - 103.2132

a² = 26.7868 {take square root of both sides}

a = 5.1756

With proper application of the cosine rule, we can conclude the value of the side a of the triangle ABC is approximately 5.12 to 2 decimal place.

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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Answer:

No (unless it happens to have a vinculum on top of any digit image attached is an example of a vinculum)

Step-by-step explanation:

0.63 just stops at 0.63

The experimental prοbability that the card selected was a K οr 6 is 13/100, which is equivalent tο 0.13 οr 13%.

The study οf prοbability examines the likelihοοds οf results οccurring and is based οn the ratiο οf likely and imprοbable scenariοs.

Tο find the experimental prοbability οf drawing a K οr 6, we need tο add the frequencies οf card K and card 6 and divide by the tοtal number οf draws:

Frequency οf K οr 6 = 7 + 6 = 13

Tοtal number οf draws = 4 + 7 + 5 + 6 + 7 + 6 + 8 + 10 + 7 + 10 + 8 + 12 + 10 = 100

Experimental prοbability οf drawing a K οr 6 = Frequency οf K οr 6 / Tοtal number οf draws = 13 / 100

Hence, the experimental prοbability that the card selected was a K οr 6 is 13/100, which is equivalent tο 0.13 οr 13%.

Answer: 8 οver 13 is the clοsest οptiοn tο 13/100, sο the answer is 8 οver 13.

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Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

The points are given as:

(3,6.5) and (4,17.55)

Calculate the rate of change using:

r = y4/y3

This means that:

r = 17.55/6.5

r = 2.7

So, the next point on the graph is:

Next point = 2.7 * y4

Substitute 17.55 for y4

Next point = 2.7 * 17.55

Evaluate

Next point = 47.39

This means that the next point on the graph is (5,47.99)

Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

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With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

A type of plant is introduced into an ecosystem and quickly begins to take over.

A scientist counts the number of plants after m months and develops the equation to model the situation, which is given as,

\(p(m)=19.3(1089)^m\)

Most recently, the scientist counted 138 plants.

\(138=19.3(1089)^m\\(1089)^m=7.15\)

Taking log both sides of the equation,

\(\log(1.089)^m=\log7.15\\m\log(1.089)=\log(7.15)\\m=\dfrac{\log7.15}{\log(1.089)}\\m\approx23.1\)

Thus, with no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

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Answer:

With no limiting factors to the growth of the plants, the number of  months have passed since the plants were first introduced is 23.1.

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

20.12 ft

Step-by-step explanation:

if you take 6^2 and subtract that from 21^2 then you will get your answer after finding the square root of the answer that the calculator gives you.

Answer:

here's the order sry my handwriting is poor

On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.

Quadratic functions are functions having a leading degree of 2.

Given the function height in feet of the car after t seconds expressed as

h = -16t^2 +10t +6

The height of the car on the ground is zero, hence:

16t^2 -10t -6 = 0

8t^2 - 5t - 3 = 0

Factorize the quadratic function

8t^2 - 5t - 3 = 0

On factoring, the value of t is 1. This shows that the car will land on the ground after 1 sec.

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The z-score for Michelle's exam score of 56 is -3.4 (rounded to three decimal places). To calculate the z-score, we use the formula:

z = (x - μ) / σ

where:

- x is the individual score (56 in this case),

- μ is the mean of the population (73 in this case),

- σ is the standard deviation of the population (5 in this case).

Substituting the given values into the formula:

z = (56 - 73) / 5 = -17 / 5 = -3.4

Thus, the z-score for Michelle's exam score is -3.4.

The z-score measures the number of standard deviations an individual's score is away from the mean. In this case, Michelle's score of 56 is 17 points below the mean of 73. Since the standard deviation is 5, we divide the difference by the standard deviation to obtain the z-score. A negative z-score indicates that Michelle's score is below the mean. Therefore, her z-score is -3.4.

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The equation 35 = 15-24y represent the growth rate.

According to the statement

we have given that the

A weeping willow that is 15 feet in height grows to a maximum height of 35 feet in y years at a constant rate of 24 inches per year.

And we have to describe all conditions in the equation.

So,

firstly the given height of weeping pillow before growing is 15 feet.

It means the maximum real height it grows is to subtract from the maximum given height it grows.

it means we have to find the growth rate.

real height he grows is = 35-15 = 20 feet

And it grows at the 24 inches per year so, it means it become

24 y

By combining these we get the equations is

35 = 15-24y.

So, The equation 35 = 15-24y represent the growth rate.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

A weeping willow that is 15 feet in height grows to a maximum height of

35 feet in y years at a constant rate of 24 inches per year. Which of the following equations best describes this situation?

A. 37 = 15-24y

B. 35 = 15-24y

C. 35 = 15-22y

D. 39 = 15-27y

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Answer: 35= 15+2y

Step-by-step explanation:

I am taking the Khan Academy Lesson.

The amount of money are auggie and his friend johnny gonna have by the end of the party is $110

Cost of getting into the party = $10

Number of adults at the party = 4

Number of friends at the party= 9

Total number of people at the party = Number of adults at the party + Number of friends at the party

= 4 + 9

= 11

Total money are auggie and his friend johnny gonna have by the end of the party = Total number of people at the party × Cost of getting into the party

= 11 × $10

= $110

Hence, auggie and his friend johnny will have $110 at the end of the party.

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The difference between the water levels for the high and low tide was 3. 6 feet. the equation to find the water level at high tide x = y + 3.6, where  High Tide Water Level = x and  Low Tide Water Level = y.

In simple form it will be  High Tide Water Level = Low Tide Water Level + 3.6. To explain this equation, the water level at high tide is equal to the water level at low tide plus 3.6 feet. The variable 'x' represents the water level at high tide, while the variable 'y' represents the water level at low tide. By adding 3.6 feet to the water level at low tide, we can find the water level at high tide.  

For example, if the water level at low tide is 4 feet, the water level at high tide would be 4 + 3.6 = 7.6 feet. To find the water level at high tide for any given low tide water level, one can simply add 3.6 feet to the known low tide water level. This equation can be used to accurately calculate the water level at high tide for any given low tide water level.

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Answer:

First, you turn it into 18 + 3x = 24

Then do - 18 on both sides to get 3x = 6

so the answer is 2

Step-by-step explanation:

Answer:

I think it might be too late

Step-by-step explanation:

but here it is anyways

There are 70,560 possible divisions of 8 new teachers among 4 schools. The total number of divisions of 8 new teachers among 4 schools is therefore:65,536 - 4 = 70,560

To calculate the total number of divisions of 8 new teachers among 4 schools, you can use the formula for combinations with repetition:

n^r

where n is the number of schools (4) and r is the number of teachers (8).

4^8 = 65,536

However, this formula does not take into account the possibility of one or more schools having no teachers assigned to them. To account for this, you can subtract the number of combinations where one or more schools have zero teachers assigned, which is calculated using the formula for combinations without repetition:

nCr = n! / r!(n - r)!

where n is the number of schools (4) and r is the number of teachers (8).

4C8 = 4! / 8!(4 - 8)! = 4! / 8!(-4)! = 4! / 8!(4)! = 4 / 1 = 4

The total number of divisions of 8 new teachers among 4 schools is therefore:

65,536 - 4 = 70,560

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Answer:

\((6a-7)5a=30a^2-35a\)

Step-by-step explanation:

Message if you want a detailed explanation.

Answer:

24

Step-by-step explanation:

Take the number of students and multiply by the percentage to see how many got it right

30 *80%

Change to decimal form

30 *.8 =24

24 students got it correct