Determine the inequality represented by the following diagram

Answer:

y=3x+1

Step-by-step explanation:

perpendicular lines=their gradient multiply to produce -1 thus:

(line 1) y= -⅓x+1. gradient is. -⅓x

(line 2) gradient = 3

y=mx+c

3=y-7

x-2

multiply both sides by x-2 to remove the denominator.

3(x-2)=y-7

3x-6=y-7

collect the like terms to remain with y in one is side

3x-6+7=y

3x+1=y

y=3x+1

Answer:

The correct options are (A), (C) and (D).

Step-by-step explanation:

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

It is provided that the 99% confidence interval for the mean widget width is:

CI = 14.3 < μ < 30.4

The 99% confidence interval for population mean widget width (14.3, 30.4), implies that there is a 0.99 probability that the true value of the mean widget width is included in the above interval.

Or, the 99% confidence interval for the mean widget width implies that there is 99% confidence or certainty that the true mean widget width value is contained in the interval (14.3, 30.4).

Thus, the correct options are (A), (C) and (D).

Using confidence interval concepts, it is found that the correct options are:

A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.

C. There is a 99% chance that the mean of the population is between 14.3 and 30.4.

The interpretation of a x% confidence interval is that we are x% sure that the population mean is in the interval.

In this problem, 99% confidence interval for widget width is between 14.3 and 30.4, hence we are 99% sure that the population mean, that is, the mean width of all widgets is between 14.3 and 30.4, hence options A and C are correct.

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Answer:

3 people get 10 crackers each 2 people get 9 crackers each

Step-by-step explanation:

SO WE CHECK THE OTHER ANSWERS

1. 2 people get 10 crackers each 3 people get 9 crackers each

(2*10)+(3*9)=?

20+27=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

2. 2 people get 13 crackers each 3 people get 12 crackers each

(2*13)+(3*12)=?

26+36=62

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

3. 3 people get 10 crackers each 2 people get 9 crackers each

(3*10)+(2*9)=?

30+18=48

WHICH IS CORRECT CAUSE THE SUM SHOULD BE 48

4. 4 people get 8 crackers each 1 person gets 15 crackers each

(4*8)+(1*15)=?

32+15=47

WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48

SO THE ANSWER IS  3 people get 10 crackers each 2 people get 9 crackers each

I HOPE I HELPED

PLS MARK BRAINLIEST!!!!!! (DESPERATELY TRYING TO LEVEL UP)

IT TOOK ME 10 MINS TO TYPE THIS

                     -ZYLYNN JADE

Answer:

None

Step-by-step explanation:

You wrote:

"Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4) Parallelogram, Rectangle, Rhombus, or Square"

According to what you wrote, you don't have any of the listed quadrilaterals.

ABCD (in that precise order) is not a simple polygon according to the coordinates of the points since there is an internal intersection of sides.

ABDC, though, is a rectangle.

The quadrilateral with points A(0,0), B(5,0), C(0,4) and D(5,4) is a rectangle, option B is correct.

To find the type of quadrilateral find the length of four sides:

For A(0,0) and B(5,0)

AB=√(5-0)²+(0-0)²

AB=5 units

For  B(5,0) and D(5,4)

BD=√(5-5)²+(4-0)²

BD=√16

BD=4 units

For C(0,4) and D(5,4):

BD=√(5-0)²+(4-4)²

=5 units

For A(0,0) and C(0,4):

AC=√(0-0)²+(4-0)²

= 4 units.

In the quadrilateral the opposite sides are equal, so it is a rectangle.

Hence, the quadrilateral is a rectangle. Option B is correct.

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Complete question:

Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4)

(A) Parallelogram

(B) Rectangle

(C) Rhombus
(D)Square

Answer:

Translating it to the left by 1 unit means that we need to add 1 from the quantity in the absolute value symbols. However, it is 1/2x and not x so we only add 1/2 which gives us y = |1/2x - 1.5| + 3.

Answer:

  y = 86°

Step-by-step explanation:

The measure of an arc intercepted by an inscribed angle is double the measure of the inscribed angle.

The arc intercepted by the 93° inscribed angle is ...

  112° +x = 2(93°)

  x = 74° . . . . . . . subtract 112°, simplify

The arc intercepted by the 80° inscribed angle is ...

  x + y = 2(80°)

  74° +y = 160°

  y = 86°

Answer:

336m^2

Step-by-step explanation:

The triangle area is half of base times height so: 1/2*8*12=48m^2

There are 4 triangles so 48*4=192

Then the square base area is side times side so: 12*12=144m^2

Then surface area of model is 192m^2+144m^2=336m^2

Answer:

336 m²

Step-by-step explanation:

We can find the surface area of this pyramid by finding the surface area of one of the sides, multiplying it by 4 (as there are 4 sides to the pyramid) then adding it to the surface area of the base.

Each side of this (excluding the base) is a triangle, and to find the area of a triangle we use the equation [tex]\frac{b \cdot h}{2}[/tex].

[tex]\frac{12 \cdot 8}{2}[/tex]

[tex]\frac{96}{2}[/tex]

48.

So, one side of this is 48. Multiplying it by 4 gets us 192.

Now we have to add the area of the base. The area of the bass is a square with side lengths of 12, so we can square 12 to get the area of the bass. 12² = 144.

Now let's add these numbers:

192+144 = 336

So, 336 m² is what this comes out to.

Hope this helped!

So option (D) is Correct.

Answer:

The answer is

Step-by-step explanation:

Let the unknown angle be x

To find x we use cosine

cos∅ = adjacent / hypotenuse

From the question

The hypotenuse is 56

The adjacent is 48

So we have

cos x = 48/56

cos x = 6/7

x = cos-¹ 6/7

x = 31.003

x = 31° to the nearest degree

Hope this helps you

Answer:

1/3

Step-by-step explanation:

Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.

Answer:

A.

Step-by-step explanation:

We are given the two points (2,7) and (4,-1).  In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4[/tex]

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

[tex]y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15[/tex]

This is also slope-intercept form. The answer is A.

Answer:

A. y=-4x+15

Step-by-step explanation:

First, you want to find the slope by using the formula

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The first step is to put in the right numbers,

[tex]\frac{-1-7}{4-2}[/tex]

Then, subtract the numbers accordingly

[tex]\frac{-8}{2}[/tex]

Then simplify

[tex]\frac{-4}{1}[/tex] or -4

The next step is finding the y-intercept, you can do this by drawing it out or using the formula (i will be using the point (2,7) where y is 7 and x is 2)

y=-4x+b   Plug in the values

7=-4(2)+b   Multiply

7=-8+b   add 8 to both sides to isolate the variable

15=b

so y=-4x+15

Hope this helps, if you have any questions, feel free to ask.

Have a good day! :)

Answer:

There will be 128 holes

Step-by-step explanation:

Simply think of each fold as doubling the number of holes.  So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes.  Cheers.

Folding of the paper is an illustration of a geometric sequence

The number of holes in the rectangular paper is 128

The given parameters are:

[tex]\mathbf{h = 2}[/tex] --- holes

[tex]\mathbf{t = 6}[/tex] --- number of times

The sheet was folded in halves i.e. in 2's.

So, the amount of each time is:

[tex]\mathbf{f(t) = 2 \times h^t}[/tex]

Substitute values for h and t

[tex]\mathbf{f(6) = 2 \times 2^6}[/tex]

Evaluate the exponent

[tex]\mathbf{f(6) = 2 \times 64}[/tex]

Multiply

[tex]\mathbf{f(6) = 128}[/tex]

Hence, the number of holes in the rectangular paper is 128

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Answer:

[tex]24 units^2[/tex]

Step-by-step explanation:

Well we can divide the given polygon into smaller triangles.

The triangle on the upper right corner has a base of 4 units and a height of 3 units.

So we use the following formula,

[tex]\frac{b*h}{2}[/tex]

4*3 = 12

12 / 2 = 6 units^2

Now we can do the bottom triangle.

It has a base of 4 units and a height of 1 unit.

So 4*1 = 4

4 / 2 = 2 units^2

Now for the top left triangle.

It has a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

Now all we have is the middle part.

Its a triangle with a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

6 + 2 + 4 + 4 = 16 units^2

Thus,

after adding everything up the total area of the polygon is 16 units^2.

Hope this helps :)

Answer:

choice A: f(x)=3(x+1)^2+2

Step-by-step explanation:

All the choices are written in vertex form.

The vertex of the graph shown is (-1, 2).

all answer choices show that the a-value in vertex form is a positive 3

the vertex form is f(x)=a(x-h)^2+k, where h is the x-value of the vertex and k is the y-value of the vertex of the parabola

so, the equation with f(x)=3(x-(-1))^2+2, because -1 is the x-value and 2 is the y-value of the vertex

the equation fully simplified is f(x)=3(x+1)^2+2

Answer:

[tex]\frac{x3 + 5x2 + 4x + 4}{x}[/tex]

Step-by-step explanation:

x2+5x+ 4/x+4

Answer:

-25 and -23

Step-by-step explanation:

The arithmetic sequences are the same so we will have the same formula for each of them. The first term (a₁) is 3 and the common difference (d) is -2.

Explicit formula: aₙ = a₁ + (n - 1) * d

Our formula is aₙ = 3 + (n - 1) * (-2) = -2n + 5

a₁₅ = -2 * 15 + 5 = -25

a₁₄ = -2 * 14 + 5 = -23

Answer: -25 and -23

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

What as |x|= infinity, then p(x)=2 mean is that,

as x get bigger on either side of +ve or -ve, you get really close to 2.

Graph A could be p(x).

The answer is option A.

A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.

A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).

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Answer:

Step-by-step explanation:

3x + 6 < 12

     -6      -6

3x < 6

x < 2

    x < 2

  <------------o  

                  2

Answer:

The only way is across.

Answer:

a. 15/23

b. 13/27

c. 400g

Step-by-step explanation:

a. When the denominators are the same, you can just sum the numerators.

Which becomes, 13+2=15--> 15/23

b. Same, when the denominator is the same, you can just minus the numerators. Which becomes, 25-12=13--> 13/27

c. 1kg=1000g. 1000/5=200✖️2=400

Answer:

<BAC ≅ BCA by rule Base angle theorem

Step-by-step explanation:

What we know:

BAC = DAC

BC = BA

ΔBCA is an isosceles so ∠BCA  =  ∠DCA and ∠BAC

and we found that out by base angle theorem since

Base angle Theorem  = Two base angles of a icosceles triangle are equal.

And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD

The proof that BC ∥ AD from the given statements is that;

BC ∥ AD because of the definition of alternate angles

We are given;

AB = BC  

 AC is ∠ bisector of ∠BAD

Since AC is the angle bisector of ∠BAD, it means that;

∠BAC  = ∠DAC (definition of a bisected angle)

Now, since AB = BC, it means that ΔBCA is an isosceles triangle.

Thus; ∠BCA = ∠BAC  (base angle theorem)

Now, since ∠BCA = ∠BAC, and ∠BAC  = ∠DAC, we can say that;

∠BCA = ∠DAC

This means  ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.

Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.

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Answer:

D. {x:-8≤x<-5}

Step-by-step explanation:

x≥-8

x={-8,-7,-6,-5,-4,-3,-2,-1,0...}

x<-5

x={-6,-7,-8,-9,-0...}

Numbers equal to or less than -8 are also less than -5

Hope it helps ;) ❤❤❤

Answer:

The answer is "D"

Answer:

(x + 1)² + (y - 10)² = 4

Step-by-step explanation:

Standard form of the equation of a circle is given by,

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and 'r' is the radius.

In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.

By substituting these values in the formula,

(x + 1)² + (y - 10)² = 2²

(x + 1)² + (y - 10)² = 4

Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4

Answer:

13.2 ft

Step-by-step explanation:

We are given a ladder, a building, and an angle. Let's construct a right triangle (see attachment).

In this right triangle, we know that the hypotenuse (the ladder) is 25 feet, while the angle made between the top of the ladder and the building is 32°. Since we want to find the number of feet between the building and the base of the ladder, we will use the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is the value we want to find, while the hypotenuse is the length of the ladder.

We have:

sin(32°) = opposite / hypotenuse = x / 25

x = 25 * sin(32°) ≈ 13.2 ft

The answer is thus 13.2 ft.

~ an aesthetics lover

Answer:

[tex]\boxed{V = 434.9 \ cm^3 }[/tex]

Step-by-step explanation:

Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 4.7 cm

V = [tex]\frac{4}{3} (3.14)(4.7)^3[/tex]

V = [tex]\frac{4}{3} (3.14)(103.8)[/tex]

V = [tex]\frac{1304.7}{3}[/tex]

V = 434.9 cm³  (Up to 1 dp)

Answer:

Step-by-step explanation:

4/3×22/7×4.7^3=435.1cm

Answer:

m∠6 = 90°

Step-by-step explanation:

∠1 and ∠2 are a linear pair.  This means they are supplementary, or their measures sum to 180°.  To find m∠2, we subtract m∠1 from 180:

180-140 = 40°

The measure of ∠2 is 40°.

The sum of the measures of the angles in a triangle is 180°.  We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:

180-(40+50) = 180-90 = 90°

Answer:

Page 1:

I chose Cartoon 3

=> It can be difficult to save money because we don't actually know where all of our money goes. In this cartoon, the lady has bought something of which she had no idea but she bought that just because it was on sale. It is of no use to her and she even doesn't know how to use it. She didn't same money (as it was on sale), she rather wasted the money on buying a think she doesn't even know how to use.

     I found this cartoon persuasive as the cartoonist tried its best to persuade the watcher. The cartoon would look more persuasive if the cartoonist added more colors to it. So, it would look more attractive.

Page 2:

I feel really depressed about the situation but thanks to God I've that $1000. I think I would e able to spend 30 days with those $1000 by restricting my expenditures. Then I'll have a happy 30 days. Also, I can find a new job during these 30 days too.

Answer:

$80

Step-by-step explanation: $80.00*.0275= 2.20  80.-2.20=$77.80

The opening price of the stock in the beginning is A = $ 80

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the opening price of the stock in the beginning be A

Now , the percentage of decrease in the stock price = 2.75 %

And , the price after decrease = $ 77.80

On simplifying , we get

The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80

A - ( 2.75 / 100 )A = 77.80

( 97.25/100 )A = 77.80

Divide by 97.25 on both sides , we get

A / 100 = 0.8

Multiply by 100 on both sides , we get

A = $ 80

Hence , the opening price of the stock is A = $ 80

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Answer:

(3-8i)

Step-by-step explanation:

Group the real part and the imaginary part of the complex number