Find the solution of
{Y≤-x² - 4x +3
Y>x^2+3

5. The missing length = D. 91

6. The missing length = C. 5

7. The missing length = B. 121

8. The missing length = D. 30

Similar triangles are triangles that have the same shape but possibly different sizes. In other words, they have the same angles but different side lengths.

The corresponding sides of similar triangles are proportional to each other, meaning that if you were to multiply all the sides of one triangle by a certain factor, you would get the corresponding sides of the other triangle.

5. In order to find the missing length:

WU/FU = UV/UG  = 130/60 = UV/42

Cross-multiplying, we have:

60UV = 130 x 42

UV = 5 460/60 = 91.

6. To find the missing length, we have:

PQ/DE = PR/DF = PQ/20 = 10/40

Cross-multiplying, we have:

40PQ = 20 x 10

PQ = 200/40 = 5.

7.  To find the missing length, we have:

CE/EW = DE/EV = CE/55 = 110/50

Cross-multiplying, we have:

50CE = 110 x 55

CE = 6 050/50 = 121.

8.  To find the missing length, we have:

DE/LM = CE/LN = 42/36 = 35/LN

Cross-multiplying, we have:

42LN = 35 x 36 = 1 260

LN = 1 260/42 = 30.

Learn more about similar triangles on https://brainly.com/question/29782809

#SPJ1

You will be able to pull out approximately $1,983.45 each month from your retirement savings if you want to be able to take withdrawals for 15 years.

Interest rate is the percentage of the principal amount (a loan or an investment) that is charged or paid over a certain period of time, usually a year. It is used to calculate the amount of interest that accrues on the principal amount.

To calculate the monthly withdrawal amount that you can make from your retirement savings, we can use the present value of an annuity formula. This formula relates the present value of a series of equal periodic payments to the interest rate, the number of periods, and the payment amount.

Let's assume that you want to make monthly withdrawals for 15 years, which corresponds to 180 months. Also, let's assume that you want to withdraw the same amount each month. We can call this amount "P".

Using the present value of an annuity formula, we can solve for P:

P = PV * (r / (1 - [tex](1 + r)^(-n)[/tex]))

where PV is the present value of your retirement savings,

           r is the monthly interest rate (which is 4% / 12 = 0.00333), and

           n is the number of months over which you want to make withdrawals (which is 180 in this case).

Substituting the given values, we get:

P = 300,000 * (0.00333 / (1 - (1 + [tex]0.00333)^(-180)[/tex]))

  ≈ $1,983.45

Therefore, you will be able to pull out approximately $1,983.45 each month from your retirement savings if you want to be able to take withdrawals for 15 years. Note that this amount is an estimate and does not take into account any taxes, fees, or other factors that may affect your retirement income.

To know more about interest rate visit:

https://brainly.com/question/30505004

#SPJ1

Answer: 1234

Step-by-step explanation: number 4 put on the second row and also number 2 the other ones is going to be similar and the last one is the first row

The correct relationship most likely reflects both correlation and causation is Eating burgers more often is associated with eating french fries more often.

What is correlation?

Correlation refers to the statistical relationship between two variables. In other words, it measures how closely two variables are related to each other. A correlation can be positive, negative, or zero, depending on the direction and strength of the relationship between the variables.

However, correlation does not imply causation, which means that even if two variables are strongly correlated, it does not necessarily mean that one causes the other. There may be other underlying factors or variables that are responsible for the observed correlation.

The relationship that most likely reflects both correlation and causation is:

Eating burgers more often is associated with eating french fries more often.

This is because burgers and french fries are often served together at fast food restaurants, and the consumption of one is likely to lead to the consumption of the other.

To learn more about correlation visit:

https://brainly.com/question/28175782

#SPJ1

The weight of each of the boxes are:

Large box = 15.75 kg

Small box = 18.75 kg

Let the weight of each large box be x

Let the weight of each small box be y.

Thus, if  5 large boxes and 3 small boxes have a total weight of 135 kilograms, then we have the equation:

5x + 3y = 135   -------(1)

Thus, if  7 large boxes and 9 small boxes have a total weight of 279 kilograms, then we have the equation:

7x + 9y = 279     ------(2)

Multiply eq 1 by 3 and eq 2 by 1 to get:

15x + 9y = 405   -----(3)

Subtract eq 2 from eq 3 to get:

8x = 126

x = 126/8

x = 15.75 kg

Thus:

5(15.75) + 3y = 135

3y = 135 - 78.75

3y = 56.25

y = 18.75 kg

Read more about Simultaneous Equations at: https://brainly.com/question/13729904

#SPJ1

Base on the question, Yes, all four conditions in Binomial Settings have  met.

A binomial setting is a statistical experiment or scenario that satisfies the following four conditions:

The four conditions in BINS are:

All of these conditions are met in this scenario, so it is a binomial setting.

Learn more about binomial setting below.

https://brainly.com/question/7463132

#SPJ1

Answer: 0.6

Step-by-step explanation: to convert 3/5 to a decimal, divide the numerator over the denominator. 3 divided by 5 = 0.60

Answer: 0.60

Step-by-step explanation: multiply 3x 20 adn 5 x 20 which will give you 60/100 now just place the decimal 2 places left of the 60 which will give you .60 or .6

The area of the hexagon is 1344 square centimeters for the given perimeter and apothem.

The distance between a polygon's midpoint and any one of its sides is the polygon's apothem. The radius of the polygon's inscribed circle is equal to the perpendicular distance that runs from the centre to the side of the polygon. The formula for computing the area of regular polygons uses the apothem, which is a crucial component for determining their area.

The area of hexagon is given by the formula:

Area = (Perimeter x Apothem) / 2

Substituting the given values we have:

Area = (96 cm x 14 cm) / 2

Area = 1344 sq. cm

Hence, the area of the hexagon is 1344 square centimeters.

Learn more about apothem here:

https://brainly.com/question/29074297

#SPJ1

Answer: Let's first find out the original price of the watch, before any discount was applied.

Since Libby paid $600, which is 80% of the original price, we can set up the equation:

0.8P = 600

where P is the original price of the watch.

Solving for P, we get:

P = 600/0.8 = $750

So the original price of the watch was $750.

Now, we can find the discount that was given to Scott. He paid $630, which is a discount from the original price of:

$750 - $630 = $120

So the discount amount was $120.

To find the percentage discount, we can use the formula:

Discount percentage = (discount amount / original price) x 100%

Plugging in the values, we get:

Discount percentage = (120 / 750) x 100% = 16%

Therefore, Scott received a 16% discount on the watch.

Step-by-step explanation:

the answer of the subsets of the questions are Angle BTC is 198 degree

Arc bd is 90 degree,

How to find the Arc of the circle?

Since points T, C, B, D are on the boundary of a circle and meet at point P, we can conclude that P is the center of the circle.

Let's label the angles at the center of the circle. Since the angle between TCP is 128 degrees, we know that the angle TPC at the center of the circle is twice that, or 256 degrees. Similarly, since the angle between TPB is 90 degrees, we know that the angle TPB at the center of the circle is 180 degrees.

Let's also label the points where the arcs intersect the circle. The arc BD intersects the circle at points B, D, and P. The arc BC intersects the circle at points B, C, and P. The arc BTC intersects the circle at points B, T, C, and P. The arc TDC intersects the circle at points T, D, C, and P.

To find the arc BD, we need to find the central angle that corresponds to that arc. We can do this by adding the angles at the center of the circle that correspond to the arcs that intersect BD. In this case, those angles are TPB and TPC. So the central angle corresponding to arc BD is:

central angle for arc BD = angle TPB + angle TPC

central angle for arc BD = 180 degrees + 256 degrees

central angle for arc BD = 436 degrees

Therefore, the arc BD is a 436-degree arc.

To find the arc BC, we can follow the same process. The angles at the center of the circle that correspond to the arcs that intersect BC are TPB and TPC. So the central angle corresponding to arc BC is:

central angle for arc BC = angle TPB + angle TPC

central angle for arc BC = 180 degrees + 256 degrees

central angle for arc BC = 436 degrees

Therefore, the arc BC is also a 436-degree arc.

To find the arc BTC, we can again follow the same process. The angles at the center of the circle that correspond to the arcs that intersect BTC are TPB and TPC and the angle at the center of the circle that corresponds to arc BC. So the central angle corresponding to arc BTC is:

central angle for arc BTC = angle TPB + angle TPC + angle BPC

central angle for arc BTC = 180 degrees + 256 degrees + (360 degrees - angle BC)/2

central angle for arc BTC = 436 degrees + (360 degrees - angle BC)/2

To find angle BC, we can use the fact that the angles in a triangle sum to 180 degrees. So:

angle B + angle C + angle TCP = 180 degrees

Since TCP is 256 degrees, we can solve for angle BC:

angle B + angle C = 180 degrees - 256 degrees

angle B + angle C = -76 degrees

Since angles in a circle cannot be negative, we made an error somewhere. In fact, it is not possible for the given angles to correspond to a circle with center P. If we assume that the given angles are correct, we can conclude that there is no circle that contains all four points T, C, B, and D.

To know more about circle visit :-

https://brainly.com/question/24375372

#SPJ1

Therefore, the only solution to the system of inequalities is (0,0).

An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations. Equations can be solved by manipulating the expressions to find the value of the variables that satisfy the equation. Equations can be used to model real-world situations, and they are an important tool in many fields, including mathematics, physics, engineering, and economics.

Here,

Let's check each point if it satisfies the given system of inequalities:

1. (-2,5)

3x + 4 = -7, which is true since -3(-2) + 4 = 10

y < 3x - 2, which is true since 5 < 3(-2) - 2

Therefore, (-2,5) is NOT a solution to the system of inequalities.

2. (0,0)

3x + 4 = 4, which is true since -3(0) + 4 = 4

y < 3x - 2, which is true since 0 < 3(0) - 2

Therefore, (0,0) is a solution to the system of inequalities.

3. (3,13)

3x + 4 = -5, which is false since -3(3) + 4 = -5

y < 3x - 2, which is false since 13 < 3(3) - 2

Therefore, (3,13) is NOT a solution to the system of inequalities.

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

The Area of the shaded portion will be 54.5 [tex]cm^{2}[/tex]

In the figure which is provided let's name the triangle  ∠ABC, therefore AB= the diameter of the circle

     And, AC=6 cm and BC=8 cm

To calculate the area of the shaded portion we know that ∠ACB= 90°

And then applying Pythagoras' Theorem, we get -

  AB=[tex]\sqrt{(AC)^{2}+ \sqrt{(BC}) ^{2} }[/tex] = [tex]\sqrt{(6)^{2} }+ \sqrt{(8)^{2} }[/tex] = 10 cm

  Diameter AB= 10cm

   The radius of the circle = [tex]d\\ 2[/tex] = 5 cm

Area of Circle= π[tex]r^{2}[/tex] = 3.14× [tex]5^{2}[/tex] = 78.5 [tex]cm^{2}[/tex]

Area of triangle ABCD  =[tex]\frac{1}{2}[/tex]× AB× BC

                  =[tex]\frac{1}{2}[/tex]× 6×8 = 24 [tex]cm^{2}[/tex]

Now,

The Area of the shaded region = Area of the circle - Area of the triangle

                                                     =  (78.5 - 24) [tex]cm^{2}[/tex]

                                                      = 54.5 [tex]cm^{2}[/tex]

The Right question is:   AB is the diameter of the circle, AC =6 cm and BC =8 cm. Find the area of the shaded region (Use π=3.14).

To know more about the Radius and Diameter of a circle:

https://brainly.com/question/28162977

0.1 gallons per second is the unit rate in the given situation.

An item's unit rate is its price for one of them.

This is expressed as a ratio with a one as the denominator.

For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second.

Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

The denominator of a unit rate is always 1.

Hence, divide the denominator by the numerator so that the denominator equals one in order to determine the unit rate.

The unit rate is 50km/5.5 hours = 9.09 km/hour, for instance, if 50km are traveled in 5.5 hours.

So, in the given situation the unit rate would be:

0.1 gallons per second

Therefore, 0.1 gallons per second is the unit rate in the given situation.

Know more about the unit rate here:

https://brainly.com/question/19493296

#SPJ1

The polygon is a quadrilateral, rectangle, parallelogram, square and rhombus.

A polygon is a closed two-dimensional geometric figure made up of straight line segments connected end-to-end. The segments, or sides, intersect at their endpoints, or vertices.

To know more about line, visit:

https://brainly.com/question/30003330

#SPJ1

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

Read more on scale factor here: brainly.com/question/20482938

#SPJ1

Answer:

Step-by-step explanation:

(a) To find the N-intercept, we set t to 0 in the equation N = -0.3t + 250:

N = -0.3(0) + 250

N = 250

Therefore, the N-intercept is (0, 250).

(b) The N-intercept is the point on the graph where the tuition is $0 and represents the number of students who would enroll in the basketball camp if it were free. In this case, if the tuition was $0, 250 students would enroll in the basketball camp.

(c) To find the t-intercept, we set N to 0 in the equation N = -0.3t + 250 and solve for t:

0 = -0.3t + 250

0.3t = 250

t = 250/0.3

t ≈ 833.33

Therefore, the t-intercept is approximately (833.33, 0).

(d) The t-intercept is the point on the graph where the number of students who enroll in the basketball camp is zero and represents the tuition that would need to be charged for no students to enroll. In this case, if the tuition was approximately $833.33, no students would enroll in the basketball camp.

Answer:

76

Step-by-step explanation:

its 76 :) <333

Answer: 8.4

Step-by-step explanation:

Rearrange the equation: 4x = 40 - 8y

Substitute 0.8 into the equation

— 4x = 40 - 8(0.8) = 40 - 6.4 = 33.6

Divide both sides by 4

— x = 8.4

Answer:

8.4

Step-by-step explanation:

8 x .8= 6.4

40 - 6.4 = 33.6

33.6 / 4= 8.4

4 x 8.4= 33.6

8 x .8= 6.4

33.6 + 6.4 = 40

Height of this surface if its base is 12 cm 42 tiles are required.=14400

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

Area of region = 100 cm x 144 cm = 14400 cm.sq

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ1

COMPLETE QUESTION-

Tim has used 11 squares tiles to cover a surface. What is the height of this surface if its base is 12 cm?

The gymnast would pay a total of $50 per month for his membership to the yoga studio if he attends 3 classes per month.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

The equation y = 20 + 10x represents the total amount the gymnast pays per month for his membership to the yoga studio, where:

y is the total cost per month, in dollars

x is the number of classes the gymnast attends per month

The equation has two parts:

The constant 20 represents the fixed monthly fee the gymnast pays, regardless of how many classes he attends.

The term 10x represents the additional fee the gymnast pays for each class he attends. Since the coefficient of x is 10, the gymnast pays $10 for each class he attends.

Therefore, if the gymnast attends x classes per month, his total monthly cost would be:

Total Cost = Monthly Fee + Cost per Class * Number of Classes

y = 20 + 10x

For example, if the gymnast attends 3 classes per month, his total monthly cost would be:

y = 20 + 10(3)

y = 20 + 30

y = 50

Therefore, the gymnast would pay a total of $50 per month for his membership to the yoga studio if he attends 3 classes per month.

To learn more about the linear equation visit:

https://brainly.com/question/18831322

#SPJ1

The bearing that the ship should take when sailing in a straight line from the Isle of Strutay to Emerald Cay is 25.38 degrees.

To find the bearing from the Isle of Strutay to Emerald Cay, we can first find the total eastward distance and the total southward distance, and then use the arctangent function to find the angle.

Total eastward distance:

From Isle of Strutay to Crook Island: 25 km

From Grass Rock to Emerald Cay: 19 km

Total eastward distance = 25 km + 19 km = 44 km

Total southward distance:

From Crook Island to Grass Rock: 21 km

Now we can use the arctangent function to find the angle :

tan(θ) = (total southward distance) / (total eastward distance)

tan(θ) = 21 km / 44 km

θ = arctan (21/44) = 25.38°

Find out more on bearing at https://brainly.com/question/14796795

#SPJ1

The weight of small box and large box is 25pounds and 55 pounds respectively.

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . Example of a Simultaneous equation include;

3x+2 = y equation 1

5x +3 = 2y equation 2

Represent the weight of small box by x and the weight of large box by y

x + y = 80 equation 1

70x + 60y = 5050 equation 2

therefore 70( 80-y) + 60y = 5050

5600 -70y +60y = 5050

-10y = 5050-5600

-10y = -550

y = -550/-10

y = 55 pounds

From equation 1

x +55 = 80

x = 80-55

x = 25 pounds

therefore the weight of small box is 25 pounds and the weight of large box is 55 pounds

learn more about Simultaneous equation from

https://brainly.com/question/148035

#SPJ1

The circumference of Circle B is 34.5 meters.

What is circumference ?

Let's start by finding the diameter of Circle A. The formula for the circumference of a circle is:

C = πd

where C is the circumference and d is the diameter.

So we can solve for the diameter of Circle A by rearranging the formula:

d = C/π = 23/π

Now we can find the diameter of Circle B, which is 1½ times as long as Circle A's diameter:

d(B) = 1.5d(A) = 1.5(23/π)

Next, we can use the formula for the circumference of a circle to find the circumference of Circle B:

C(B) = πd(B)

C(B) = π(1.5)(23/π)

C(B) = 1.5(23)

C(B) = 34.5 meters

Therefore, the circumference of Circle B is 34.5 meters.

What is diameter of circle?

The diameter of a circle is the distance across the circle passing through its center. It is the longest chord of the circle and is twice the length of the radius.

The formula for the diameter of a circle is:

d = 2r

where d is the diameter and r is the radius of the circle.

Alternatively, we can use the formula for the circumference of a circle to find the diameter:

d = C/π

where C is the circumference of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

To know more about circumference , visit:

https://brainly.com/question/28757341

#SPJ1

Complete question is: Circle A has a circumference of 23 m. Circle B has a diameter that is 1½ times as long as Circle A's diameter. the circumference of Circle B is 34.5 meters.

Answer:

negative whole numbers

zero

positive whole numbers

Step-by-step explanation:

The set of integers includes negative whole numbers, zero, and positive whole numbers. Natural numbers are a subset of integers, and include only the positive whole numbers and zero. Therefore, the correct answer is: negative whole numbers, zero, and positive whole numbers.

[tex] \rm \: good \: luck[/tex]

Answer:

The set of integers includes negative whole numbers, zero, and positive whole numbers. Natural numbers are a subset of integers that does not include zero or negative whole numbers.

Step-by-step explanation:

The solution to the differential equation dy / dx = 2 · x · y³ · sin x² is equal to - [1 / (2 · y²)] = - cos x² - 3 / 2.

In this problem we find a differential equation with separable variables, that is, an ordinary differential equation whose variables can be separated on each side of the equivalence and solved by integrals. First, write the complete expression:

dy / dx = 2 · x · y³ · sin x²

Second, separate the variables:

dy / y³ = 2 · x · sin x² dx

Third, integrate the equation:

∫ dy / y³ = ∫ sin x² · (2 · x) dx

- [1 / (2 · y²)] = - cos x² + C

Fourth, find the value of the constant of integration:

- 1 / 2 = 1 + C

C = - 3 / 2

Fifth, write the solution to the differential equation:

- [1 / (2 · y²)] = - cos x² - 3 / 2

To learn more on differential equations: https://brainly.com/question/2273154

#SPJ1

Two find the point in the solution set for both these functions equation the two functions (f(x)=g(x)) and solve for x. See full process below.

Explanation:

Two find the point in the solution set for both these functions equation the two functions (f(x)=g(x)) and solve for x.

Therefore:

2x−1=−43x+9

We can now solve for x:

2x−1+43x+1=−43x+9+43x+1

2x+43x−1+1=−43x+43x+9+1

2x+43x−0=0+9+1

2x+43x=10

(33×2)x+43x=10

63x+43x=10

103x=10

310×103x=310×10

3

10×103x=310×10

x=3 is the point which lies in the solution set for both functions.

The correct answer is d i.e. The variation of the data points.

What is mean absolute deviation?

Mean absolute deviation (MAD) is a measure that describes the average distance between each data point in a set and the mean of that set. It is a way of measuring how spread out the data points are from the average or central value.

The correct answer is d. The mean absolute deviation tells you about the variation of the data points in a set. Specifically, it measures how much the data points deviate, on average, from the mean value of the set.

A higher mean absolute deviation indicates that the data points are more spread out from the mean, while a lower mean absolute deviation indicates that the data points are closer to the mean. The mean absolute deviation is useful for comparing the amount of variation between two or more sets of data, and can provide insight into the consistency or stability of the data.

To learn more about mean absolute deviation visit the link:

https://brainly.com/question/447169

#SPJ1

Answer:

9/4

Step-by-step explanation:

3/2 x 3/2= 9/4

According to the given question, by calculating the total time spent by Connor we can conclude that Connor will deliver newspaper in 2 hours and 16 minutes.

"Time" has no clear beginning, middle, or end. An interruption in time is called an interval. It has a start, an endpoint, and a set amount of time.

To find the amount of time Connor spent actually delivering newspapers, we need to subtract the time he spent cooling off and having a soda and the time he spent talking with a customer from the total time he was on the route.

First, we need to calculate the total time Connor was on the route:

5:56 p.m. - 3:25 p.m. = 2 hours and 31 minutes

Next, we need to subtract the time he spent cooling off and having a soda:

2 hours and 31 minutes - 11 minutes = 2 hours and 20 minutes

Finally, we need to subtract the time he spent talking with a customer:

2 hours and 20 minutes - 4 minutes = 2 hours and 16 minutes

Therefore, Connor spent 2 hours and 16 minutes actually delivering newspapers.

To know more about time visit:

https://brainly.com/question/479532

#SPJ1