evaluate (4x-5)² pls send answers ​

The global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint is correct. Statement C.

The critical value is the value of x for which the double derivative of the function f(x) becomes zero.

When double derivative becomes zero, the graph of the function is neither increasing nor decreasing and hence, the the function attains either

a maxima or a minima.

Hence, he global maximum value of a differentiable function f(x) on a closed interval [a, b] must occur at a critical value or an endpoint.

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Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

\(\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}\)

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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9514 1404 393

Answer:

  56, 60, 64

Step-by-step explanation:

The middle of the three numbers is their average: 180/3 = 60. The other two will be 4 more or less than this.

The numbers of interest are 56, 60, 64.

_____

Additional comment

For "consecutive integer" problems, it is often useful to work with the average of the numbers. The average will be the middle number of an odd number of numbers (as here), or will be halfway between the two middle numbers if their number is even.

Even if you bother to write equations, it can work to do that in terms of the average value (middle number): (x -4) +(x) +(x +4) = 180 in this case.

9514 1404 393

Answer:

  center (-5, 3)

  radius 3

Step-by-step explanation:

Compare the given equation to the standard form equation of a circle:

  (x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r

This shows us that ...

  -h = +5   ⇒   h = -5

  -k = -3   ⇒   k = 3

  r² = 9   ⇒   r = √9 = 3

Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.

Answer:

∠1=54°

∠2=54°

∠3 = 126°

Step-by-step explanation:

We need to find ∠1, 2 and 3

Since a traversal cut parallel lines we would use supplementary angles , congruent angles rules to solve the problem.

Angle 1 and 126 are supplementary angles.

They add up to make 180

So, ∠1 + 126 = 180

∠1 = 180-126

∠1 =54

We get ∠1=54°

Now, ∠1 ≅ ∠2, because they are corresponding angles and if traversal cut parallel lines, corresponding angles are congruent.

So ∠1 ≅ ∠2 therefore, ∠2=54°

Now, for finding measure for ∠3, we know that 126 and ∠4 are corresponding angles and corresponding angles are congruent.

So, ∠4 = 126°

We know that ∠3 and ∠4 are vertical angles.

And if traversal cut parallel lines, vertical angles angles are congruent.

So, ∠3 = 126°

The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.

The dimensions of the facility are;

Horizontal = 6 squares

Vertical = 8 squares

The side length of each square = 5 feet

Therefore;

Area of each square = 5² ft.² = 25 ft.²

Number of squares, n, required by each dependent are therefore;

CB department, n = 300 ÷ 25 = 12 squares

CF department, n = 200 ÷ 25 = 8 squares

PS department, n = 8 squares

DD department, n = 8 squares

CS department, n = 12 squares

A layout for the fast-food restaurant is therefore;

Please see the attached table layout created using Sheets.

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111km

the ratio is 1:15 so you do 7.4×15

The range of the function is {1,-1,10} for function f(x)=2x³−3x .

A relation is a function if it has only One y-value for each x-value.

In a function what can go into a function is called the Domain. What may possibly come out of a function is called the Codomain. What actually comes out of a function is called the Range.

The given function is f(x)=2x³−3x

The domain is {-1,1,2}

Now f(-1)=2(-1)³-3(-1)

=-2+3=1

f(1)=2(1)³-3(1)=2-3=-1

f(2)=2(2)³-3(2)=16-6=10

Hence, the range of the function is {1,-1,10} for  f(x)=2x³−3x .

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Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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Have a GREAT day!!!

Answer:

Option D

Step-by-step explanation:

32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).

Distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the expression,

Distance = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Distance between M(2, -3) and N(3, 1) will be,

MN = \(\sqrt{(3-2)^2+(1+3)^2}\)

      = \(\sqrt{1+16}\)

      = \(\sqrt{17}\)

Distance between M(2, -3) and O(-3, 1),

MO = \(\sqrt{(2+3)^2+(-3-1)^2}\)

      = \(\sqrt{25+16}\)

      = \(\sqrt{41}\)

Distance between N(3, 1) and O(-3, 1),

NO = \(\sqrt{(3+3)^2+(1-1)^2}\)

      = 6

Condition for right triangle,

c² = a² + b² [Here c is the longest side of the triangle]

By this property,

MO² = MN² + NO²

\((\sqrt{41})^2=(\sqrt{17})^2+6^2\)

41 = 17 + 36

41 = 51

False.

Therefore, given triangle is not a right triangle.

Since, length of all sides are not equal, given triangle will be a scalene triangle.

Option D is the correct option.

Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

The observation of the pattern is discussed below.

When we calculate the squares of the numbers from 1 to 10 and observe the digits at the one's place of each square, we notice a pattern:

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

7²=49

8²=64

9²=81

10²=100

If we focus on the digits at the one's place, we can see that they form a repeating pattern: 1, 4, 9, 6, 5, 6, 9, 4, 1, 0. This pattern repeats itself as we calculate the squares of higher numbers.

This observation is known as the "digit at one's place pattern" or the "units digit pattern." It occurs because the square of any number depends only on the digit at the one's place of that number. Hence, when we square numbers that have the same digit at the one's place, we get the same digit at the one's place in the result.

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Answer:

If 10 men dig a ditch in 12 days .

Total man-days required to dig the ditch

= 10 men × 12 days

= 120 man-days

how long would 15 men take to dig it?

No of days required to finish the job by 15 men

= 120 men-days / 15 men

= 8 days

Answer: 8 days will be required to finish the job by 15 men

Step-by-step explanation:

Hope this helps u

Crown me as brainliest:)

Answer:

y = 10/1x - 5

Step-by-step explanation:

y=mx+b

m=slope  b=y-intercept

therefore

y=10/1x -5

(10/1 is a fractions just too lazy to make it a fraction on here)

Answer:

70

Step-by-step explanation:

because u have to mulyiply it by 10 so that is how u get the answer

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

Irrational.

Step-by-step explanation:

The square root of 35 is not a perfect integer.

Answer:

\(x=-2\)

Step-by-step explanation:

The equation \(y=\frac{7}{2}x+3\) tells us that, to find y, we must multiply x by \(\frac{7}{2}\) and then add 3. Here, we are given the y value. We simply must plug in y and solve for x.

We are given: the equation \(y=\frac{7}{2}x+3\), and \(y=-4\)

So, we have:

\(y=\frac{7}{2}x+3 =\\\\-4 =\frac{7}{2}x+3\)

Solve for the variable x.

\(-4=\frac{7}{2}x+3=\\\\\\-7 = \frac{7}{2}x =\\-14 = 7x=\\-2 = x\)

Therefore, when y is equal to -4, x is equal to -2.

Answer:

Follow if you found his helpful

Step-by-step explanation:

To find the density of the house in BTUs, we need to find its volume in cubic feet. The volume of a rectangular prism is given by:

Volume = length x width x height

Substituting the given values, we get:

Volume = 80 ft x 25 ft x 8 ft

Volume = 16,000 cubic feet

Now, we can find the density by dividing the total BTUs required by the volume of the house:

Density = Total BTUs / Volume

Density = 60,000 BTUs / 16,000 cubic feet

Density ≈ 3.75 BTUs per cubic foot

Therefore, the density of the house in BTUs is approximately 3.75 BTUs per cubic foot.

Answer:

your right it's -5

Step-by-step explanation:

Points L. J and K are collinear

Mathematically, when a set of points are collinear, it means that they lie on a straight line

So, the set of points we need to have are the points that we need to lie on a staright line

Looking at the image, we have these set of points as LJK

Step-by-step explanation:

tan(2x) = sin(2x)/cos(2x) = 2sinxcosx/(cos^2x - sin^2x).

Dividing the num- and denominator by sinxcosx, we get

2/(cosx/sinx - sinx/cosx) = 2/(cotx - tanx)

cotA + cotB = cosA/sinA + cosB/sinB

We just add them like fractions, with a common denominator of sinAsinB

(cosAsinB + sinAcosB)/sinAsinB

Note that sinAcosB + sinBcosA = sin(A+B)

Therefore we have

sin(A+B)/sinAsinB

Answer:

35.94 lb

Step-by-step explanation:

The net mass flow rate dm/dt = flow rate in - flow rate out

mass flow rate in = concentration in × volume flow rate in = 0.4 lb/gallon of salt × 5 gal/min = 2 lb/min

Let m(t) be the mass present at time, t.

So, the concentration at time, t = m(t)/volume of tank = m(t)/100

mass flow rate out = concentration out × volume flow rate out = m(t)/100 lb/gal× 5 gal/min = m(t)/20 lb/min

So, dm/dt = 2 lb/min - m(t)/20 lb/min

So, dm/dt = 2 - m(t)/20

dm/dt = [40 - m(t)]/20

separating the variables, we have

dm/[40 - m(t)] = dt/20

integrating, we have

∫dm/[40 - m(t)] = ∫dt/20

-1/-1 ×∫dm/[40 - m(t)] = ∫dt/20

1/-1 ×∫-dm/[40 - m(t)] = ∫dt/20

1/-1 ×㏑[40 - m(t)] = t/20 + C

-㏑[40 - m(t)] = t/20 + C

㏑[40 - m(t)] = -t/20 - C

taking exponents of both sides, we have

\(40 - m(t) = e^({\frac{-t}{20} - C}) \\40 - m(t) = e^{\frac{-t}{20}}e^{-C} \\40 - m(t) = Ae^{\frac{-t}{20}} (A = e^{-C})\\m(t) = 40 - Ae^{\frac{-t}{20}}\)

when t = 0 m(0) = 10 lb

So

\(m(t) = 40 - Ae^{\frac{-t}{20}}\\m(0) = 40 - Ae^{\frac{-0}{20}}\\10 = 40 - Ae^{0}\\10 = 40 - A\\A = 40 - 10 \\A = 30\)

So,

\(m(t) = 40 - 30e^{\frac{-t}{20}}\)

when t = 40 minutes, m(40) =

\(m(40) = 40 - 30e^{\frac{-40}{20}}\\m(40) = 40 - 30e^{-2}\\m(40) = 40 - 30 X 0.1353\\m(40) = 40 - 4.06\\m(40) = 35.94\)

So, at the end of 40 minutes, the amount of salt in the tank is 35.94 lb

The computation shows that the examples of values that will give the exact value of 45 will be:

It should be noted the information is incomplete as the options aren't given and not properly written.

In this case, the examples will be given:

An example of value that will give 45 will be:

= ✓25 × ✓81

= 5 × 9

= 45

The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.

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The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

The probability that a randomly selected PC costs more than 1200 will be 0.006. The least expensive 10% of personal computers cost less than what amount will be 820.8.

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is given as

z = (x – μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The average price of a personal computer (PC) is $949.

If the computer prices are approximately normally distributed and standard deviation is $100.

Then the probability that a randomly selected PC costs more than 1200 will be

z = (1200 – 949) / 100

z = 2.51

Then  the probability will be

P(x > 1200) = P(z > 1200)

P(x > 1200) = 1 – P(z < 1200)

P(x > 1200) = 1 – 0.99396

P(x > 1200) = 0.0060366

The least expensive 10% of personal computers cost less than what amount will be

z-value for 10% will be -1.282.

– 1.282 = (x – 949) / 100

– 128.2 = x – 949

          x = 820.8

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