A triangle has a base length of 3ac² and a height 5 centimeters more than the base length. Find the area of the
triangle if a = 4 and c=5

Answer: 22 meters

Step-by-step explanation:

I dont need to show

The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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The expressions for dz/du and dz/dv are as follows:

dz/du = 4x siny

dz/dv = -6y cosx

To find the expressions for dz/du and dz/dv, we need to differentiate the given function z = 2x^2 - 3y with respect to u and v, respectively.

1. dz/du:

Since u = x^2 siny, we can express z in terms of u by substituting x^2 siny for u in the original function:

z = 2u - 3y

Now, we differentiate z with respect to u while treating y as a constant:

dz/du = d/dx (2u - 3y)

      = 2(d/dx (x^2 siny)) - 0 (since y is constant)

      = 2(2x siny)

      = 4x siny

Therefore, dz/du = 4x siny.

2. dz/dv:

Similarly, we express z in terms of v by substituting 2y cosx for v in the original function:

z = 2x^2 - 3v

Now, we differentiate z with respect to v while treating x as a constant:

dz/dv = d/dy (2x^2 - 3v)

      = 0 (since x^2 is constant) - 3(d/dy (2y cosx))

      = -6y cosx

Therefore, dz/dv = -6y cosx.

In summary, the expressions for dz/du and dz/dv are dz/du = 4x siny and dz/dv = -6y cosx, respectively.

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The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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Answer:

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

Answer:

3y5 + 8y4 – 8y3

Step-by-step explanation:

2y5 – 6y3 + 1 + y5 + 8y4 – 2y3 – 1

2y5 + y5 + 8y4 – 6y3 – 2y3 + 1 – 1

3y5 + 8y4 – 8y3

Answer:                                             _____

Fraction = 6/7 decimal form is = 0.\(\\857142\)

Step-by-step explanation:

Cancell common factors and reduce the expression.

Answer:

For both sets of data, the median is equal to the mean.

The interquartile range (IQR) is greater for M's classes than J's classes.

Step-by-step explanation:

J's Classes:

23, 25, 27, 28, 32

Median: 27

Mean: 27

Mean Absolute Deviation: 2.4

Interquartile Range: 3

M's Classes:

20, 24, 26, 29, 31

Median: 26

Mean: 26

Mean Absolute Deviation: 3.2

Interquartile Range: 5

Answer:

D, E, G

Step-by-step explanation:

Quotient of 82 and a number=82/n

Decreased by 26

82/n-26

She evaluate the expression when n=2

82/n-26

When n=2

82/2-26

=41-26

=15

Answer

D. The correct expression is 82/n-26

E.The operations include division and subtraction.

G.The value of the expression is 15

Answer:

The correct answer is b,d,e,g

Step-by-step explanation:

The answer is True which means the choice between numerical integration approaches depends on what the data looks like and what computational expense you can tolerate.

The choice of numerical integration procedures is influenced by several criteria, including the nature of the data being integrated and the computing expenditure that may be accepted. If the function being integrated, for example, is smooth and well-behaved, a basic technique such as the trapezoidal rule or Simpson's rule may be adequate and computationally efficient.

If the function is extremely oscillatory or involves singularities, more complex approaches such as adaptive quadrature or Monte Carlo methods may be required to correctly integrate it. Furthermore, the size of the data collection and the processing resources available will influence the numerical integration method used.

Overall, choosing the best numerical integration strategy necessitates a careful evaluation of these numerous criteria to assure accuracy and efficiency in the integration of data.

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Answer:

distance = independant; time = dependant

Step-by-step explanation:

You are able to change the distance you travel, making it the independant. As you go farther, the time increases, so it is dependant on the distance traveled, therefore it is the dependant.

The possible values of the expression when the inequality is true, are:

(8, ∞).

Here we have the absolute value expression:

A = |x + 3|

And we know that x > 5, replacing that in the inequality, we will see that the lower bound of the possible values is:

A  >|5 + 3|

A > 8

Then the values allowed for the expression are all the values in the range (8, ∞).

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Answer:

y=50x+25

y-interept=(0,25)

slope: 50

Answer:

31 and 37

Step-by-step explanation:

Those are the only two numbers

Answer:

The two numbers between 30 and 40 which have only 2 factors are -

31 and 37

Hope it helps you.

Answer:3x4=x

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If the lines were vertical, the slope would be undefined (you can't divide by 0).

If the lines were otherwise, the lines have the same slope if they are parallel.

The algebraic expression is 2/3(2y + y)

The length of the 2/3 feet long

It is broken into two parts x and y

If x is twice the length of y, we have

x = 2y

The algebraic expression is 2/3/x + y , if x = 2y

We have that,

2/3(2y + y)

Thus, the algebraic expression is 2/3(2y + y)

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Richard makes 3y per hour.

Since there are no numbers indicating the wage, this is the only logical answer.

Answer:

Complement of an Event: All outcomes that are NOT the event. So the Complement of an event is all the other outcomes (not the ones we want). And together the Event and its Complement make all possible outcomes.

Answer:  \(x^3-x^2\)

This is the same as writing x^3-x^2

==============================================

Explanation:

We divide the two given polynomials. We can apply synthetic division.

The numerator polynomial is \(x^4+3x^3-4x^2\) which is the same as \(1x^4+3x^3-4x^2+0x+0\)

The sequence of coefficients are: {1,3,-4,0,0}. Those coefficients will be used to set up the synthetic division table in the top row.

The denominator polynomial x+4 means -4 is the test root since it's the solution to x+4 = 0. This -4 goes to the upper left corner.

Check out the diagram below.

The yellow cell in the bottom row represents the remainder. Everything else in the bottom row are coefficients to the quotient polynomial. The coefficients {1,-1,0,0} means we get \(1x^3-1x^2+0x+0\) which simplifies to \(x^3-x^2\) and that's the final answer.

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

Let's check the answer. Multiplying \((x+4)\) with \((x^3-x^2)\) should get us \(x^4+3x^3-4x^2\)

Let's see if that happens.

\((x+4)(x^3-x^2)\\\\y(x^3-x^2) \ \text{ ... where } y = x+4\\\\x^3*y-x^2*y\\\\x^3*(x+4)-x^2*(x+4)\\\\x^3*x+x^3*4-x^2*x-x^2*4\\\\x^4+4x^3-x^3-4x^2\\\\x^4+3x^3-4x^2\\\\\)

We get the proper product we're after, so the answer is confirmed.

Basically we were given expressions for A and B and computed C = A/B to get the final answer C. This check section is us computing A = BC to confirm the answer.

\(\longrightarrow{\green{F=5000 \: N}}

\)

Answer: 60 students

Step-by-step explanation:

So, in the first situation 430 students were surveyed and 258 said that their favourite pet was a dog. The second situation is 100 students and x said that their favourite pet was a dog. We are solving x.

430=258

100= x

Cross multiply

So that is

430 x X= 100x258

430x=25800

Divide both sides by 430

Answer: 60 students

The number of students that should have a favorite type of pet is 60 students.

Of the 430 students surveyed, 258 said that their favorite type of per was a dog. And, there are only 100 students were surveyed

So here we assume the favorite pet should be x

So,

430 (X)= 100(258)

430x=25800

x = 60

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Step-by-step explanation:

2x + 2y  = 28   <=====given

x * y = 40     <===given .....  re-arrange to :

           y = 40 / x    <===substitute this 'y'  into the first equation

2x + 2 ( 40/x) = 28   <=====solve for x

2x^2 -28x + 80 = 0

x^2 -14x +40 = 0

(x -10)(x-4) = 0                        shows x = 10 or 4    then y = 4 or 10

dimensions    10    and 4   inches

Answer:

4 or 10 inches

Step-by-step explanation:

I added a photo of my solution

Answer:

x = - 2 , x = 6

Step-by-step explanation:

x² - 4x = 12 ( subtract 12 from both sides )

x² - 4x - 12 = 0 ← in standard form

to factor, consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (- 4)

the factors are - 6 and + 2 , since

- 6 × 2 = - 12 and - 6 + 2 = - 4 , then

(x + 2)(x - 6) = 0 ← in factored form

equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 6 = 0 ⇒ x = 6

Answer:

0.8

Step-by-step explanation:we just need to divided 19 by 23

and rounded to the nearest tenth it’s .8

Hopes this helps please mark brainliest

Answer:

\(\frac{2}{7}+\sqrt{121}\)

Step-by-step explanation:

Given: expressions

To find: expression that denotes a rational number

Solution:

A number of the form \(\frac{p}{q}\) where p and q are integers and \(q\neq 0\) is said to be a rational number.

Sum of a rational and irrational number is irrational.

In \(\frac{5}{9}+\sqrt{18}\), \(\frac{5}{9}\) is a rational number and \(\sqrt{18}\) is an irrational number

So, \(\frac{5}{9}+\sqrt{18}\) is not a rational number.

In \(\pi+\sqrt{16}=\pi+4\), \(\pi\) is an irrational number and 4 is a rational number

So, \(\pi+\sqrt{16}\)  is not a rational number.

In \(\frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}\), \(\frac{79}{7}\) is a rational number

So, \(\frac{2}{7}+\sqrt{121}\)  is a rational number

In \(\frac{3}{10}+\sqrt{11}\), \(\frac{3}{10}\) is a rational number and \(\sqrt{11}\) is an irrational number

So, \(\frac{3}{10}+\sqrt{11}\) is not a rational number.

Answer:

2 / 7 + 12

Step-by-step explanation:

he is right i  just took the test i just wanna help more ..

Hello,

I am going to calculate all the surface areas of the prism:

1) the bases: 2*(6*9)/2=64 (cm²)

2) perimeter of the base: 7+9+7=23 (cm)

3 lateral area: 23*5=115 (cm²)

All surface areas= 64+115=179 (cm²)

What does it means sq ? (for a foreigner) ?

All surface areas= 64+115=179 (cm²)

A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry. If the sides of a right triangular prism are not rectangular, the prism is oblique.

Given

the bases: 2*(6*9)/2=64 (cm²)

perimeter of the base: 7+9+7=23 (cm)

3 lateral area: 23*5=115 (cm²)

All surface areas= 64+115=179 (cm²)

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The population density is 1/4 if one billion people each stood on adjacent 2-foot by 2-foot squares.

A measure of a region's population is called its population density. It's a common number. By dividing the population by the area, population density is determined. The number of persons per area is typically used to indicate population density.

Given that one billion people each stood on adjacent 2-foot by 2-foot squares.

Total population = 1 billion

Area covered by one person = 2×2 square feet.

= 4 square feet

Total area = 4×1 billion square feet

= 4 billion square feet

Population density = Population/area

= 1 billion/ 4 billion

= 1/4

Therefore, the population density is 1/4.

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There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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Answer:

E

Step-by-step explanation:

If correct plz mark as brainliest

thank you

19NBoli

:)