which number best represents the scope of the graphed line? a. -5 b. -1/5 c. 1/5 d.5​

Answer:

1/2

Step-by-step explanation:

Since 50% is half the number of students it means that half of the students took the first bus which leaves the other half to take the 2nd bus

Answer:

16.66666667

Step-by-step explanation:

=12+10.66666667-6

=22.66666667-6

=16.66666667

The inequality of the graph is expressed as: y > 1/2x + 2.

The graph given has a broken line and the shaded part is above the boundary line, therefore, we would use the sign, ">" in our inequality. The inequality would be expressed as y > mx + b.

Find the slope (m):

Slope (m) = rise/run = 1 units/2 units

m = 1/2

b = 2 (y-intercepts)

Substitute m = 1/2 and b = 2 into y > mx + b

y > 1/2x + 2.

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The necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

As it is given in the description itself, if we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.

Therefore, the necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.

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Answer:

see explanation

Step-by-step explanation:

K is a constant means that K is a fixed numerical value

Assuming that both boats are travelling in straight paths, the angle that is between their paths to the nearest degrees is =34°

A triangle is a type of polygon that has three pointed edges.

A polygon is defined as a closed object that is made up of line segments in a two dimensional plane.

Other examples of polygon include the following:

The angle between the paths of the boats can be calculated using the formula Cos θ = a/b

Where b = 18km/h

a = 15km/h

Cos θ = 15/18

cos θ = 0.83

Therefore, θ = Cos¹0.83

θ = 33.9

θ = 34°

In conclusion, the angle that is between their paths to the nearest degrees is =34°

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By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.

By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.

The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.

By applying the theorem of intersecting secants, angle XYZ will be given by this formula:

<XYZ = ½ × (m<WZ - m<XZ)

Substituting the given parameters into the formula, we have;

<XYZ = ½ × (175 - 105)

<XYZ = ½ × 70

<XYZ = 35°.

By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.

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Answer: 35

Step-by-step explanation:

The area of the shaded region in the given image is: 1,111.84 ft²

To find the area of the shaded region in the image given, find the areas of the unshaded region, then subtract it from the total area of the whole figure.

Area of the total figure = area of two semicircles + area of the rectangle.

Dimensions of the rectangle is given as, 18ft x 22ft.

Area of the rectangle = 18ft × 22ft = 396 ft²

The diameter of each of the semicircle = 7 + 7 + 18 = 32 ft

The radius of each of the semicircle = 1/2(32) = 16 ft

Area of the two semicircles = 2(1/2 × πr²) = 2(1/2 × 3.14 × 16²)

Area of the two semicircles = 803.84 ft²

Area of the rectangle = 32 × 22 = 704 ft²

The total area = 704 + 803.84

The total area = 1,507.84 ft²

The area of the shaded region = 1,507.84 - 396

The area of the shaded region = 1,111.84 ft²

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Answer:

x<-3 or -3<x<-1 or x>-1

Step-by-step explanation:

Domain - The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

\mathrm{Domain\:of\:}\:\frac{1}{x^2+4x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:-3<x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}

Answer:

False

Step-by-step explanation:

The variable could also be -3, not just 3.

Answer:

False

Step-by-step explanation:

x^2 - 9 = 0

x^2 = 9

x = +- 3

The answer is B.

To obtain A'B'C'D' from ABCD, we can clearly see that it has been shifted 2 units right and 3 units down.

Answer:

the answer to "2 times what equals 25?" is 12.5.

The direction does the parabola open is right. Option C

It is important to note that the general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h

where

⇒ (h , k) denotes the vertex.

Also, the standard equation of a regular parabola is y² = 4ax.

From the equation given , we have

We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;

y² = 4ax

It is important to note that ;

From this, we can see that the parabola would open in the right direction

Thus, the direction does the parabola open is right. Option C

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Answer:

1. Given

2. Triangle Interior Angle Sum Theorem

3. Substitution Property of Equality

4. Subtraction Property

5. Definition of Complementary Angles

Answer:

2: choice b

Step-by-step explanation:

a: $1.66 / 10 oz = $0.166/oz

b: $3.22 / 20 oz = $0.161/oz

Answer: 2: choice b

The answer is 1.

Here, we need to know the trigonometric values of sin 30° and cos 60°, which are :

Hence, sin 30° and cos 60° :

Answer:

calculate the number of atom in 3 mol helium

The correct option is (d)

He wrote commutative instead of associative in step 2.

According to the commutative property, a mathematical principle, the product of a multiplication does not depend on the order in which the numbers are multiplied.

Commutative property:  a+b = b+a

Associative property: (a+b) + = a+(b+c)

Now consider the provided expression.

(6.2 − 1.6) − 4.4 + 7.8

Step 1:

(6.2 − 1.6) − 4.4 + 7.8

Step 2 Use Associative property

6.2 + (−1.6 − 4.4) + 7.8

Step 3: Simplify

6.2 − 6 + 7.8

Step 4: Use commutative property

14 − 6

Step 5: Simplify

14 − 6 = 8

Hence, the wrong step is step 2.

He wrote commutative instead of associative in Step 2.

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I understand that the question you are looking for is:

Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6) − 4.4 + 7.8 Step 2: 6.2 + (− 1.6 − 4.4) + 7.8 (commutative property) Step 3: 6.2 − 6 + 7.8 Step 4: −14 − 6 = 8 (commutative property) Step 5: 14 − 6 = 8

(a)-He wrote commutative instead of distributive in Step 4.

(b)-He wrote commutative instead of distributive in Step 2.

(c)-He wrote commutative instead of associative in Step 4.

(d)-He wrote commutative instead of associative in Step 2.

Answer:  [tex]35 cm^2[/tex]

Step-by-step explanation:

Area of trapezium =

2X = 2 + 2 = 4 cm

2Z = 5 + 5 = 10 cm

Y = 5 cm

[tex]\dfrac{ \left( 4+10 \right) }{ 2 } \times 5[/tex]

                 |

                 |--------> 35 [tex]cm^2[/tex]

Answer:

  x = 3 1/2

Step-by-step explanation:

You could simplify the given equation first, then solve the resulting 2-step linear equation. It might work better to undo the operations done to the variable.

  (5 1/6 -x)(2.7) -5 3/4 = -1 1/4 . . . . . given

  (5 1/6) -x)(2.7) = 4 1/2 . . . . . . . add 5 3/4 to both sides

  (5 1/6 -x) = 4.5/2.7 = 5/3 . . . divide by 2.7

  31/6 -10/6 = x . . . . . . . . . . add x-5/3, use common denominators

  21/6 = x = 7/2

  x = 3 1/2

Answer:

graph C

Step-by-step explanation:

when X= 0

Y ---> -5

so , answer is graph C

Answer:

c

Step-by-step explanation:

the graph of | x | has its vertex at the origin and has shape V

the graph of | x | - 5 is the graph of | x | translated 5 units vertically down.

That is graph c represents | x | - 5

Answer:

D

Step-by-step explanation:

circles are parallel to the base and therefore only pass through 1 nappe

if the plane weren't parallel, we would make an ellipse

Explanation:

The sector is the pizza slice. We subtract off the area of the triangle to find the yellow shaded area.

78.6794 - 70.4956 = 8.1838

(-3²)-2(-3-4)-(-1³)

=9-2(-7)+1

=9+14+1

=24

Hope it helps!

Answer: look at the picture

Step-by-step explanation:

Answer:

[tex]y=x-1[/tex]

Step-by-step explanation:

The line of symmetry of an isosceles triangle is perpendicular to its base.

Given vertices of the isosceles triangle:

By sketching the triangle with the given points, we can see that AB is its base.  (See attached graph).

To find the equation for the line of symmetry, first find the slope of the line AB.  To do this, use the coordinates of points A and B and the slope formula.

Define the points:

[tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{3-7}=-1[/tex]

As the line of symmetry is perpendicular to line AB, its slope is the negative reciprocal of the slope of line AB.

Therefore, the slope of the line of symmetry = 1.

The line of symmetry will pass through point C (4, 3).

Therefore, substitute the found slope and the coordinates of point C into the point-slope formula:

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

[tex]\implies y-3=1(x-4)[/tex]

[tex]\implies y-3=x-4[/tex]

[tex]\implies y=x-1[/tex]

Therefore, the equation of the given isosceles triangle's axis of symmetry is:

[tex]y = x - 1[/tex]

If we graph the points

then we will get AC=CB

That means C is the point from where the axis of symmetry passes

Foot of perpendicular is midpoint of AB

Midpoint of AB

Find equation of C and foot of perpendicular

Slope

Equation

Answer:

The first choice.  

Step-by-step explanation:

The second choice is a translation and the third choice is a reflection.

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Let's calculate its discriminant ~

[tex]\qquad \sf  \dashrightarrow \: {t}^{2} + \cfrac{17}{2} t - 5 = 0[/tex]

[ Multiply both sides by 2 ]

[tex]\qquad \sf  \dashrightarrow \: 2 {t}^{2} + 17t - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: discriminant = {b}^{2} - 4ac[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = (17) {}^{2} - (4 \times 2 \times - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 289 - ( - 80)[/tex]

[tex]\qquad \sf  \dashrightarrow \: d = 369[/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt {d }= 3 \sqrt{41} \approx19.209 [/tex]

So, by quadratic formula :

[tex]\qquad \sf  \dashrightarrow \: t = \dfrac{ - {b}^{} \pm \sqrt{d} }{2a} [/tex]

[tex]\qquad \sf  \dashrightarrow \: t = \dfrac{ - {17}^{} \pm \sqrt{369} }{2 \times 2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \:t = \cfrac{ - 17 - 19.209}{4} \: \: and \: \: t = \dfrac{-17+19.209}{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \:t = \cfrac{ - 36.209}{4} \: \: and \: \: t = \dfrac{2.209}{4} [/tex]

[tex]\qquad \sf  \therefore \: t = - 9.052 \: \: \: or \: \: \: t = 0.552[/tex]

Answer:

b. (y - 4)(y - 8)

Step-by-step explanation:

If I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only.

This ultimately implies that, a numerical data is a data set consisting of numbers rather than words.

An outlier can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.

Assuming I am counting the number of expert tutors on Brainly and I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.

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We have the segments EF, FD, and DE.

Therefore, the correct answer is

ED + EF < DF

EF + FD < DE

The Triangle Inequality Theorem states that the totality of any side of a triangle must be greater than the measure of the third side in this problem.

We have the segments EF, FD, and DE.

To construct a triangle three inequalities must be met

case 1: EF + FD > DE

case 2: FD + DE > EF

case 3: EF + DE > FD

Therefore, the correct answer is

ED + EF < DF

EF + FD < DE

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