A cement pathway of uniform width is to be poured around a rectangular swimming
pool measuring 16 feet wide by 28 feet long. Given that (16+2x) is an expression for
the width of the outer edge of the path and (28+2x) is an expression for the length of
the outer edge of the path, what would a quadratic in standard form for the area of
the path (remember to take the area of the pool away from the area of the whole
outer edge.
O A (20) = 4x2 +88x + 448
O A (2) = 4x2 +882
O A (2) = 2x2 + 440 + 448
O A (x) = 2.2 + 442

Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

200.96

Step-by-step explanation:

So, we have to find the area of both.

The area for the mat is

(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.

So, 226.08

Next, the water bowl.

(3.14)4^2=50.24.

226.08-25.12=200.96

I may be wrong!

The value of 'E' in the algebraic equation is -2

Algebraic equation is a mathematical statement in which two expressions are set equal to each other.

Therefore, let solve for 'E' in the equation 0.75(8+e)=2−1.25e

Use 0.75 to open the bracket

6 + 0.75e = 2 -1.25e

Collect the like terms

0.75e+1.25e = 2-6

2e = -4

Divide both sides by 2

2e/ 2 = -4/2

e =-2

Therefore, the value of 'E' in the equation is -2

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The equation of the circle in standard form is: x² + y² = 100. And in general, form is: x² + y² - 100 = 0.

The center of the circle with the given endpoints of the radius is the midpoint of the line segment from (-8, 6) to the origin, (0, 0). We can use the midpoint formula to find the center of the circle, and then use the distance formula to find the radius, which is the distance from the center to either endpoint. Midpoint formula: $[(x_1+x_2)/2,(y_1+y_2)/2]$ Distance formula: $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$. Now let's calculate: Midpoint of (-8, 6) and (0, 0):$\left[\frac{(-8)+(0)}{2}, \frac{(6)+(0)}{2}\right] = (-4, 3)$Radius: $\sqrt{(0-(-8))^2 + (0-6)^2} = \sqrt{64+36} = \sqrt{100} = 10$. Therefore, the equation of the circle in standard form is: x² + y² = 100. And in general, form is: x² + y² - 100 = 0. The equation of the circle with center at the origin and radius of length 10 is x² + y² = 100 (standard form) and x² + y² - 100 = 0 (general form).

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Answer:

Future amount = 100(1.9)^5 ;

2476

Step-by-step explanation:

P(t) = P0 * (1 + r)^t

P(t) = 100 * (1 + 90/100)^t#

P(t) = 100 * (1 + 0.9)^t

Therefore, the number of bacteria in 5 years :

P(5) = 100 * (1 + 0.9)^5

P(5) = 100 * (1.9)^5

P(5) = 100 * 24.76099

P(5) = 2476.099

P(5) = 2476 bacteria

P(10%

Answer:

\(r^{3}=4050\)

r = ∛4050

Step-by-step explanation:

\(V=\frac{4}{3} \pi r^{3}\)

\(5400=\frac{4}{3} \pi r^{3}\)

\(r^{3}=3(\frac{5400}{4} )\)

\(r^{3}=3(1350 )\)

\(r^{3}=4050\)

We need to first find the intersection between Q and R, which is the common elements between both groups. We have:

Now we need to determine the union between them:

Answer:

(4x+7)(4x+7)

Step-by-step explanation:

Answer:

Outside temperature at 2 A.M = -33.2°C

Step-by-step explanation:

Given:

Temperature at 12:00 midnight (outside) = -30.9°C

Rate of decreases = - 2.3°C per two hour

Find:

Outside temperature at 2 A.M

Computation:

Outside temperature at 2 A.M = Temperature at 12:00 midnight (outside) + Rate of decreases

Outside temperature at 2 A.M = -30.9°C + (- 2.3°C)

Outside temperature at 2 A.M = -33.2°C

Jerome's taxable income is $25,000, option A

To calculate Jerome's taxable income, we first need to calculate his adjusted gross income (AGI).

AGI = Income - Deductions

Jerome's income is $47,900. His deductions include $2,400 in medical expenses and $450 for damage to his home caused by a hailstorm.

AGI = $47,900 - $2,400 - $450

AGI = $45,050

Next, we can calculate Jerome's taxable income by subtracting his exemptions and standard deduction from his AGI:

Taxable Income = AGI - Exemptions - Standard Deduction

Jerome has exemptions of $7,500 for dependents, and the standard deduction for a single taxpayer in 2023 is $12,550.

Taxable Income = $45,050 - $7,500 - $12,550

Taxable Income = $25,000

Therefore, Jerome's taxable income is $25,000, which corresponds to option A. $10,350, $37,550, $40,400, and $58,250 are not correct.

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Answer:

34

Step-by-step explanation:

substitute x = 6, y = - 2 into the expression

5x - 2y

= 5(6) - 2(- 2)

= 30 + 4

= 34

Answer:

A, D, E

Step-by-step explanation:

I got it right.

Assuming a company's income statement shows that their financial picture is headed in a negative direction rather than a positive direction, the true statement about this situation is that: A. the company likely had more expenses than revenue.

In Economics, an income statement can be defined as a type of financial statement which is typically used by an entrepreneur or business organization (firm or company) to record the amount of money (revenues) that are entering or flowing into the business.

Generally speaking, a business organization (firm or company) is considered has having more expenses than generating revenue when its financial picture illustrates that it is headed in a negative direction rather than a positive direction.

In conclusion, we can logically deduce that this particular business organization (firm or company) had more expenses than revenue.

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Circumference of a circle with equation \((x+2)^{2}+(y-3)^{2}\) = 9 is 6pi.

To find the circumference of a circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9, we first need to identify its radius, which is the square root of the constant term 9. The radius is therefore 3 units.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Using this formula, we can calculate the circumference of the given circle as:

C = 2πr = 2π(3) = 6π

Therefore, the circumference of the circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9 is 6π units.

It's important to note that the circumference of a circle is the distance around the edge of the circle. It is an important parameter for many applications in geometry, physics, and engineering, among others. Being able to calculate the circumference of a circle given its equation is a fundamental skill in mathematics and is essential for solving many problems in different fields.

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Answer:

1.8 is correct

Step-by-step explanation:

You can use Desmos for future advice

Answer:

x = 52

Step-by-step explanation:

Hello there!

All of the angles in a rectangle are right angles

if a right angle has a measure of 90 degrees then we can find x by subtracting the given angle from 90

90 - 38 = 52 so we can conclude that x= 52

Step-by-step explanation:

Each angle in a quadrilateral is 90⁰ therefore 38⁰+x=90⁰

hence x=90⁰-38⁰ which gives you 52⁰

A statement in the form p→q has three related implications that are called converse, inverse, and contrapositive.

A statement in the form p→q has three related implications.

Statement: If p then q (p→q)

Converse: If q then p (q→p)

Inverse: If not p then not q (-p → -q)

Contrapositive: If not q then not p (-q → -p)

For the given implications, its converse, inverse, and contrapositive can be written as.

Given statement:

(a)  If a quadrilateral is a parallelogram, then its opposite sides are congruent then its converse, inverse, and contrapositive are:

Converse: If a quadrilateral has opposite sides that are congruent then it's a parallelogram.

Inverse:  If a quadrilateral is not a parallelogram then its opposite sides are not congruent.

Contrapositive: If a quadrilateral has opposite sides that are not congruent then it's not a parallelogram.

(b) If two lines do not intersect, then they are parallel:

Converse: If the two lines do not intersect in the same plane, then they are parallel.

Contrapositive: If the two lines intersect in the same plane, then they are not parallel.

(c) If the sky does not look blue, then it is not nighttime:

Converse: If it is not nighttime, then the sky looks blue.

Inverse:  If the sky does not look blue then it is nighttime.

Contrapositive:  If it is nighttime then the sky does not look blue.

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Answer:

Step-by-step explanation:

\(\dfrac{\frac85}{\frac{2}{25}-\frac{5}{16}}=\dfrac{\frac85}{\frac{32}{400}-\frac{125}{400}}=\dfrac{\frac85}{-\frac{93}{400}}=\\\\\\=\frac85\cdot(-\frac{400}{93})=\frac81\cdot(-\frac{80}{93})=-\frac{640}{93}=-6\frac{82}{93}\approx-6,88\)

From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1  .

The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.

The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.

Which proves that :  ∠1 and ∠4 are complimentary to the same angle that is ∠5.

Therefore, the ∠ 1 is congruent to angle 4 .

The given question is incomplete , the complete question is

From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?

(a) angle1

(b) angle2

(c) angle3

(d) angle5

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The streamlines for the given flow field are y = x + 2ψ, and the direction of flow along the streamlines is up and to the left. This flow field is irrotational since the curl of the velocity field is zero. The magnitude of the acceleration of a fluid particle at the point (1ft, 2ft) is determined to be ∣a(1ft,2ft)∣ = 4 ft/s^2.

a) To determine the streamlines and the direction of flow along them, we can use the relationship y = x + 2ψ. Comparing this equation to the given stream function ψ = 2x - 2y, we can see that the streamlines follow y = x + 4x - 4y, which simplifies to y = 5x - 4y. Rearranging further, we have 5x + 3y = 0. This equation represents a line with a slope of -5/3, indicating that the flow direction is up and to the left along the streamlines. Therefore, the correct choice is y = x + 2ψ, and the direction of flow along the streamlines is up and to the left.

b) An irrotational flow field is characterized by a zero curl of the velocity field. The velocity components can be obtained from the stream function ψ by taking partial derivatives. In this case, the velocity components are u = ∂ψ/∂y = -2 and v = -∂ψ/∂x = 2. Calculating the curl, ∇ × V, where V = (u, v), we find that the curl is zero. Hence, the given flow field is irrotational.

c) The acceleration of a fluid particle can be obtained from the velocity components using the material derivative equation, which relates the acceleration to the velocity and the time derivative of velocity. In this case, since the flow is steady (independent of time), the time derivative term is zero. Evaluating the acceleration at the point (1ft, 2ft) requires taking the partial derivatives of the velocity components with respect to time and evaluating them at the given coordinates. However, since the flow is irrotational, the velocity components do not vary with time. Therefore, the acceleration is also zero at any point in the flow field, including the point (1ft, 2ft).

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Answer:

The last graph or

Graph C

Step-by-step explanation:

Answer:

12x+2y=-3

Step-by-step explanation:

y=-6x-3/2

-6x-y=3/2

2(-6x-y)=2(3/2)

-12x-2y=6/2

-12x-2y=3

12x+2y=-3

Answer:

D) 7 meters

Step-by-step explanation:

So I would start this off by plugging in the variables into side B. So if we were to plug 7 into B there would be 22 meters left of the perimeter. Therefore meaning 22 between A and C. Now A is 3 meters shorter than TWICE of B. So 7 times 2 is 14 and 14 minus 3 is 11. now we have 11 and 7 which equals 18. 29 minus 18 giving us 11 left. 11 is C. Now it says c is 4 meters longer than B so it 7 plus 4 is 11. And everything adds up. HOPE THIS HELPS.

Answer:

Side b=7 meters

Step-by-step explanation:

Given:

Perimeter of triangle=29m

Side a=2b-3

Side b=b

Side c=4+b

To find:

Side b

Solution:

P of triangle=a+b+c

29=2b-3+b+4+b

29=2b+b+b+4-3

29=4b+1

29-1=4b

b=28/4

b=7m

I hope my answer is right.

Answer:

The answer is the last one.

Answer: the answer is J

Step-by-step explanation:

Answer:

5h + 45

Step-by-step explanation:

5 (h + 9) = 5 x h + 5x9= 5h + 45

Answer:

d

Step-by-step explanation:

other person deserves brainliest

Examples of nominal measurement include gender, race, and religious affiliation. Examples of ordinal measurement include educational degrees (e.g., high school, bachelor's degree, master's degree).

Examples of interval measurement include temperature in degrees Celsius and time in minutes or hours. Examples of ratio measurement include height, weight, and income.

Nominal measurement is the simplest level of measurement, and ratio measurement is the most complex. It is important to understand the levels of measurement because they determine the type of statistical analysis that can be performed on the data.

Nominal, ordinal, interval, and ratio are four levels of measurement that describe the nature of the data being collected in a study. Understanding these levels of measurement is important because they determine what statistical tests can be used to analyze the data.

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Answer:

e)as we know in this current century many modern country is polluting air pollution that may lead to impact our health

The statement-

In a control chart, the UCL and LCL represent plus or minus three standard deviations is true

What is control chart?

Control chart is a graph used to measure the how a change occurs in a process over time. There are three lines in a control chart. A central line which denotes the average, a lower line which denotes the lower control limit and an upper line which denotes the upper control limit.

In a control chart, the UCL is the Upper Control Limit and LCL is the Lower Control Limit.

LCL and UCL are three standard deviation from the mean of the data set

If s is the standard deviation of the sample, -3s  is the LCL and +3s is the UCL

So the statement,

In a control chart, the UCL and LCL represent plus or minus three standard deviations is true

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