Find the midpoint of the segment with the given endpoints. (-1,3) and (-3,-9)​

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

From the question, we have the following parameters that can be used in our computation:

x + y > 3

x - 3y < 2

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (6, 2)

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Answer:

crackers= 60 calories

cooies= 104

total= 164 calories

Step-by-step explanation:

Answer:

3/10

Hope this helps!

Have a good day :)

Answer:

Step-by-step explanation:

yes

yes

no

no

Answer:

(A) 45 degrees

Explanation:

Given that triangle BCD is an Isosceles Triangle where BD=CD.

• Then the base angles of Isosceles triangle BCD: ,Angles B and C are congruent and are both 50 degrees.

The sum of the angles in a triangle is 180 degrees, therefore, in triangle BCD:

As can be seen in the diagram below:

Angle D (in triangle BDC) is an exterior angle of opposite interior angles A and B (in triangle BAD).

The sum of opposite interior angles is equal to the exterior angle.

The measure of angle A is 45 degrees.

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

\(\sqrt{3}\)/2=x/8\(\sqrt{5}\)(do cross multiplication)

2x=\(\sqrt{3\) *8\(\sqrt{5}\)

2x=8\(\sqrt{15}\)

x=8\(\sqrt{15}\)/2

x=4\(\sqrt{15}\)

for y

using pythagoras theorem

h^2=p^2+b^2

(8\(\sqrt{5}\) )^2=(4\(\sqrt{5}\) )^2+b^2

320=80+b^2

320-80=b^2

240=b^2

\(\sqrt{240}\) =b

4\(\sqrt{15}\)=y

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

2x = 70  

x = 35 degrees

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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Answer:

Reject the Null ;

0.928

Step-by-step explanation:

Given the data: 2, 4, 3, 5, 1, 1, 4

Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857

Standard deviation, s = 1.57 ( using calculator)

The hypothesis :

H0 : μ = 1.4

H1 : μ ≠ 1.4

Since sample size is small, use T test

Test statistic :

Tstatistic = (x - μ) / s/sqrt(n)

Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)

Tstatistic = 1.457 / 0.593 = 2.455

Two tailed test at α = 0.05

Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447

Tstatistic > Tcritical ; reject the null

Since ;

2.455 > 2.447 ; we reject the null ;

There is significam evidence that Number of complaints has changed.

Effect size ;

d = (x - μ) / s

d = (2.857 - 1.4) / 1.57

d = 1.457 / 1.57

d = 0.928

Answer: hmmmmm

Step-by-step explanation:

It’s a b or c and maybe just maybe b

1. Using the quadratic formula

\(x=(-b\pm\sqrt{b^{2}-4ac})/2a\)

\(x=(-4\pm\sqrt{16-64} )/2\)

\(x=[-4\pm(-4\sqrt{3}i)]/2\\x=-2\pm2\sqrt{3}i\)

-Hunter

Answer:

\(x = -2 \pm 2i\sqrt{3}}\)

Explanation:

                      given quadratic sample: x²+4x+16=0

Quadratic formula: \(x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\)

Here a = 1, b = 4, c = 16         [ which are coefficients from ax²+bx+c ]

using the formula:

→ \(x = \frac{ -4 \pm \sqrt{4^2 - 4*1*16}}{2*1}\)

→ \(x = \frac{ -4 \pm \sqrt{-48}}{2}\)

→ \(x = \frac{ -4 \pm 4i\sqrt{3}}{2}\)

→ \(x = -2 \pm 2i\sqrt{3}}\)

A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

`y = 2

y = -1

Step-by-step explanation:

Im not very good at explaining things im new at so all i can get s the answer

The number of years the annuity will last if it pays $300 per year is 18 years.

An annuity is an investment that pays the investor a fixed periodic amount for many years in the future.

The annuity payment may be monthly or yearly, as the case may be.

An online finance calculator can compute the annual payment (annuity).

I/Y (Interest per year) = 7%

PV (Present Value) = $3,000

PMT (Periodic Payment) = $-300

FV (Future Value) = $0

Results:

N = 17.795

Sum of all periodic payments = $-5,338.44

Total Interest $2,338.44

Thus, for an annuity with a present value of $3,000, earning 7% per annum and paying $300 per year will last almost 18 years.

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The present value of an annuity is $3,000 and earns 7% per annum.

Find the number of years the annuity will last if it pays $300 per year.

Answer:

Answer: The minimum number of full hours did Carson need to work at his father's business is 8 hours and 15 minutes. Happy to help!

Step-by-step explanation:

Answer:

The answer should be B.

Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.

A cone, also known as a vertex, is a three-dimensional polygonal object with a flat base and a soft tapering apex. In a plane with no vertices, a cone is formed by connecting a story arc of lines, half-lines, but rather routes those are common to all focuses on the outpost. A cone is a muti structure with just a peaceful transition from a flat, round or, base towards the vertex and apex, which represents as the base's axis. A three-dimensional polygonal shape with only an upwardly flat curved surface is known as a cone.

Because Cone A has a volume of 48bold pi cubic units, we can use the volume of a cone formula to calculate its height:

Cone volume = 1/3 * base area * height

1/3 * pi * 62 * 4 = 48bold pi

48pi = 48bold pi

As a result, Cone A's height is 4 units. The radius is also 6 units, as we can see.

Cone volume = 1/3 * base area * height

\(1/3 * pi * r2 * h = 48\\144 = r^2 * h\\144 = 8^2 * 3\\144 = 192\)

Cone B does not have volume 48bold pi cubic units with these dimensions, but it does have the same volume as Cone A because they both have volume 48bold pi cubic units.

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The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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Answer:

(3x+2)(2x-1)

Step-by-step explanation:

6x²+x-2

6x²+4x-3x-2

2x(3x+2)-1(3x+2)

(3x+2)(2x-1)

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Answer: The expected value of each warranty sold can be calculated as the sum of the product of the probability of a product failing after the original warranty period and the replacement cost, and the cost of the extended warranty:

Expected value = (0.8% of $300) + ($47)

Expected value = (0.008)($300) + ($47)

Expected value = $2.40 + $47

Expected value = $49.40

Therefore, the company's expected value of each warranty sold is $49.40.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

No the function is not an exponential function as the domain values are not at regular intervals although the range values have a common factor.

The exponential function is a function which is formed by the unit e which is equal to 2.718.

The differences between x-values are  -1, -1, -1, -2 . . . . not a constant difference

The ratios of y-values are 2/8 = 0.5/2 = 0.125/0.5 = 0.25 . . . . a constant difference

The domain values do not have a common difference shows the common factor of the range values which are of no use. So, the function is not exponential.

Hence the table does not show exponential function in any way because the domain values are at regular intervals and the range values have a common factor 0.25.

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Answer:

25 to 1

Step-by-step explanation:

5a/2b = 1/10

cross-multiply:

50a = 2b

simplify to get 25 : 1

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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Answer:

Step-by-step explanation:

This depends on whether or not you know the radius ( r) or the diameter ( d) Let’s calculate one manually, for example. If r = 6 cm, the the circumference is c = 2 π (6) = 12 π cm, if writing in terms of π. If you prefer a numerical value,