Determine the intervals on which the function is decreasing and increasing and then find local minima and maxima. f(x) = (x-2)(x+3) f(x) = (x+1)(x-2)(x+3) f(x) = x e^(-x) f(x) = x^x defined on the interval (0, infinity).

Answer:

Crew: 32

Marty: 48

Blakely: 24

Step-by-step explanation:

I mainly just used guess and check. Crew is 32 years old. So, let's find Marty's age.

32 × 1. 5 = 48

Marty is 48. Now, let's find Blakely's age.

32 × 0.75 = 24

Add all the ages together.

32 + 48 + 24 = 104

Hope that helps.

Crew's age is 32, Marty's age is 48 and Blakey's age is 24

Let :

c represent Crew's age

m represent Marty's age

b represent Blakely's age

From the question, the following can be derived

m = 1.5c

b = 0.75c

m + b + c = 104

Substitute for m and b in the above equation

c + 1.5c + 0.75c = 104

3.25c = 104

divide both sides of the above equation by 3.25

c = 104 / 3.25

c = 32

Substitute for c in the equations that represent  Marty and Blakely's age

m = 1.5c

m = 1.5(32)

m = 48

b = 0.75c

0.75(32)

b = 24

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The 19 circles are possible within the same center and not more than 18 units.

The radius of each circle must be different if we wish to draw many circles around a single Centre point.

We can draw a circle with a radius of 18 units that is centered at (-3, 8) to make the largest circle feasible because each circle can have a maximum radius of 18 units.

We can create a circle with simply the Centre point if we assume that the radius is 0. (-3, 8).

We can continue this process, increasing the radius by 1 unit each time, until we reach a radius of 18 units. Therefore, we can draw 19 circles in total, including the circle of radius 0 units.

Therefore, the 19 circles are possible within the same center and not more than 18 units.

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Answer:

Step-by-step explanation:

we have to know what the numbers are

Answer:

(i) 90°

(ii) CÔD

(iii) AÔD = 110°

(iv) 180°

(v) AÔD

(vi) AÔB

Step-by-step explanation:

Two angles are said to be complementary if they add up to 90°.

Complementary angles can either be adjacent or non-adjacent.

Two Angles are said to be supplementary if they add up to 180°.

Complementary angles can either be adjacent or non-adjacent.

(i) BÔC + CÔD = 25 + 65 = 90°

(ii) BÔC = 25°

Therefore the complementary angle measures 90 - 25 = 65°

So the complement of BÔC is CÔD

(iii) AÔD = 20 + 25 + 65 = 110°

(iv) AÔD + DÔE = 110 + 70 = 180°

(v) DÔE = 70°

Therefore the supplementary angle measures 180 - 70 = 110°

So the supplement of DÔE is AÔD

(vi) DÔE = 70°

Therefore the complementary angle measures 90 - 70 = 20°

So the complement of DÔE is AÔB

#1

#2

Let the complement be x

#3

#4

#5

When estimating a population mean, you are more likely to be correct when using an interval estimate rather than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, accounting for uncertainty. This range provides a higher level of confidence compared to a single point estimate.

When estimating a population mean, you are more likely to be correct when using an interval estimate rather than a point estimate. The reason is that an interval estimate provides a range of values within which the population mean is likely to fall, taking into account the inherent uncertainty in the estimation process.

A point estimate, on the other hand, provides a single value as an estimate of the population mean, without accounting for the variability or margin of error. While a point estimate may be close to the true population mean, there is no measure of confidence or precision associated with it.

An interval estimate, such as a confidence interval, incorporates both a point estimate and a margin of error, which quantifies the uncertainty in the estimate. By providing a range of values, the interval estimate acknowledges that the true population mean may fall within that range with a certain level of confidence.

Using an interval estimate allows for a more comprehensive understanding of the population mean and provides a measure of the reliability of the estimate. It acknowledges the inherent variability in sampling and estimation processes, ultimately increasing the likelihood of being correct in estimating the population mean.

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The given equation will have No solution.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 7 - 4x = 2 + x + 6 - 5x

Simplify this equation One side at a time:

For LHS:

=>  7 - 4x

For RHS:

=>  2 + x + 6 - 5x

=> 8 -4x

LHS  ≠  RHS

Since the variable part of the equation is equal and the constant part of the given equation is not equal

Thus given equation does not have solutions.

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Answer: $23.70/hr

Step-by-step explanation:

x= hourly wage

4= the number of hours worked

$94.80=total earned

4x=$94.80

x=$94.80/4

x= $23.70/hr

She earned $23.70 per hour

To determine if the given equations are parallel or perpendicular to line p, we need additional information, such as the slope of line p or the relationship between the given points (2, 2) and (1, -1).

To determine the relationship between the given equations and the line p, we need to compare their slopes.

The equation y = -3x + 10 is in slope-intercept form (y = mx + b), where the slope (m) is -3.

Rearranging the equation 2y - 5 = -(x + 2) into slope-intercept form, we have 2y = -x - 7.

Dividing both sides by 2, we get y = (-1/2)x - 7/2.

The slope of this equation is -1/2.

The equation y = fx does not provide any information about the slope or its relationship with line p, as fx is undefined.

More context or information about the function f is needed to determine its slope.

The equation -3x + y = 1 can be rearranged as y = 3x + 1, which is in slope-intercept form.

The slope of this equation is 3.

Now, let's compare the slopes to line p.

The slope of line p is not provided in the given information, so we cannot determine if the equations are parallel, perpendicular, or neither solely based on the slopes.

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The compound formed between Sr and P is strontium phosphide (Sr₃P₂).

To determine the formula for the compound formed between Sr and P, we need to consider the charges of the ions involved.

Strontium (Sr) is a metal from Group 2 of the periodic table, and it tends to lose two electrons to achieve a stable electron configuration. Therefore, it forms Sr²⁺ ions.

Phosphorus (P) is a nonmetal from Group 15, and it tends to gain three electrons to achieve a stable electron configuration. Therefore, it forms P³⁻ ions.

To form a neutral compound, the total positive charge from the cations should equal the total negative charge from the anions. In this case, the charges need to balance.

Since the charge on the Sr²⁺ ion is 2+ and the charge on the P³⁻ ion is 3-, we need two Sr²⁺ ions to balance the charge of three P³⁻ ions. This gives us the formula Sr₂P₃.

However, we need to simplify the formula to its simplest whole-number ratio. By dividing both subscripts by their greatest common divisor, we obtain the simplest ratio of 1:1.

Therefore, the final formula for the compound formed between Sr and P is Sr₃P₂.

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The geologist speculated that eons ago, before the area was excavated, the present-day island was actually a hilltop in a vast forest.

Age is usually utilized in an overall manner to allude to an endlessly extensive stretch of time. Beyond science, individuals generally use age as a method for overstating what amount of time something required to occur or how long something endured. With regards to geography, age alludes to the biggest division of land time. In proper utilization, ages are the longest divides of geologic time. Three ages are perceived: the Phanerozoic Eon (dating from the current back to the start of the Cambrian Period), the Proterozoic Eon, and the Archean Eon. The principal records of the word age alluding to an extremely lengthy range of opportunity arrive from around 1650. It comes from the Greek word alluding to a vastly extensive stretch of time. Geologists by and large gap the aggregate of Earth's presence into three ages.

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The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Answer: 3

Step-by-step explanation:

We can solve this problem by recognizing that z is the geometric mean of 9 and 9+4. This property is outlined in the following formula:

\(\frac{hypotenuse}{leg}=\frac{leg}{part}\)

where hypotenuse is the longest side of the triangle, leg is the side of the triangle we are calculating for, and part is the part of the hypotenuse on the side of the leg.

Here, the hypotenuse is 13, or 4 + 9. The leg is z, as it is the side of the triangle we are trying to find. Finally, the part is 9. It is the part of the hypotenuse that is on the side of the leg.

Let's plug in these values:

\(\frac{13}{z}=\frac{z}{9}\\117=z^2\\z=\sqrt{117}\)

117 is the product of 9 and 13. Since 9 is a perfect square, we can take it out from the square root.

\(z=\sqrt{9*13}\\z=\sqrt{9}*\sqrt{13}\\z=3\sqrt{13}\)

The "?" must be a 3.

Answer:

4, 8 ,16​

Step-by-step explanation:

4 * 2 = 8

8 * 2 = 16

Answer:

thank you for points

Step-by-step explanation:

The midpoint between two points A(0,0) and B(8,4) is (4,2)

The distance between two points A(0,0) and B(8,4) is 4√5

To find the midpoint of two points,

We need to take an average of both the x and y components of both points

Two points A(x ₁,y₁) and B(x₂ ,y₂) are (0,0) and (8,4) respectively

Let M be the mid-point M(x, y),

x = x₁+x₂/2

 = 0+8/2

= 8/2

= 4

Similarly

y = y₁+y₂/2

  = 0+4/2

  = 4/2

  = 2

So, the midpoint of the two points A(0,0) and B(8,4) is (4,2)

To find the distance between two points,

We need to take the square root of the difference square of x and y, which is

d² = Δx² + Δy²

d = √(Δx²+Δy²)

Δx = x₂-x₁

    = 8-0

   = 8

Δy = y₂-y₁

    = 4-0

    = 4

Thus,

d = √(8²+4²)

d = √(64 + 16)  

d = √80

d = 4√5

So the distance between the two points is 4√5

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Answer:

  \(\textbf{D. }\sim p\rightarrow \,\sim q\)

Step-by-step explanation:

Assuming your conditional is ...

  \(p\rightarrow q\)

The inverse negates both clauses without changing their order.

The inverse is ...

  \(\boxed{\neg p\rightarrow \neg q}\)

Answer:

Step-by-step explanation:

it is A/ this relationship is not a function because only one amount of plant food remains each day.

Answer:

it is A/ this relationship is not a function because only one amount of plant food remains each day.

Step-by-step explanation:

Answer:

The angle of rotation is 120°

Step-by-step explanation:

The given quadrilateral A can be taken as being upright form, however, by measurement, using a protractor application, the base of the quadrilateral is inclined at an angle of 13° to the horizontal, the positive direction of the x-axis, before rotation while the base of the B which is the image of A after rotation, is found to be at angle of 133° to the positive direction of the horizontal x-axis

Therefore, the angle of rotation = 133° - 13° = 120°

Answer:

for store a 260 + 20 times x and then store b 140 + 30 times x

Step-by-step explanation:

Answer:

for the shirts made column its 1, 2, 3, 4, 5

for the cost of machine it's 2 and 150

and for total cost its 160, 180, and 200

Step-by-step explanation:

Using the concept of bearing and vectors, her displacement from the starting point is 8.5m

To determine Victoria starting point, we can apply the concept of bearing and vectors.

The horizontal component will be;

Vx = 9(cos35) + 12(cos 1250)

This is calculated as

Vx = -4.445m

The vertical components will be;

Vy = 9(sin 35) + 12(sin1250)

Vy = 7.246m

Her displacement from the starting point is given as;

V² = Vx² + Vy²

V = √(Vx² + Vy²)

V = √(-4.445)² + (7.246)²

V = 8.5m

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Answer:

Adam gets £400

Step-by-step explanation:

Adam : Mag

1:5 1+5=6

2400÷6=400

400x1=400

400x5=2000

Answer:

4cm

Step-by-step explanation:

2t2 is 4 4 is the cm

purrr

periodtttttt ahhhhhh

its 4cm purrrr

Answer:

c

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrants almost make like a C shape so quadrant 1 is the top right corner, quadrant 2 is the the top left, quadrant 3 is bottom left, and quadrant 4 is bottom right

Answer:  4 1/2 slices/friend

Step-by-step explanation:

One pizza = 9 slices

9 slices/2 friends = 4 1/2 slices/friend

Answer:

3

Step-by-step explanation:

because 9×3=3

2 friends and me

Answer:

the answer is $99.49

Step-by-step explanation:

30 percent of $74.99 is $24.50

74.99 + 24.50 = $99.49

Answer: $99.74

Step-by-step explanation: