the game. Their scores are shoun below.
Darius and Barb are playing a video game in which the higher score wins
Darius's scores: 96, 54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie. Who is correct?

Answer:

positive slope

Step-by-step explanation:

when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .

gradient of the line is greater than 0

The slope of the line is m = 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 0 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 1 - 0 )

m = 2

Therefore , the value of m is 2

Hence , the slope is 2

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Step-by-step explanation:

∆COT is congruent with ∆NPA

by rule A.S.S (angles, sides, sides)

Answer:

△COT≅△NPA by SSA

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

square each side first to get:

8x - 8 = 64

8x = 72

x = 9

Answer:

Step-by-step explanation:

3. sin^2A + cos^2A = 1  (formula )

1 + tan^2 theta = sec^2 theta  (derived from the formula sec^2 theta - tan^2 theta )

b.2x = 12 (by comparing the corresponding element)

x = 12/2

x = 6

3y = 12 (by comparing the corresponding element)

y = 12/3

y = 4

mean = sum of data / no of data

4+7+5+9+11+6 / 6

42 / 6

7

mean = 7

to find median arrange the data from ascending to descending order (from smallest to biggest)

data = 3,4,6,8,10,12

median = (N +1)/2   (N means no of data )

=6 + 1/2

=7/2

=3.5

=3 th term + 4 th term /2

=6 +8 / 2

=14/2

=7 median = 7

to find value of theta

90° + 50° + theta = 180° (sum of interior angles of a triangle)

140° + theta = 180°

theta = 180° - 140°

theta = 40°

therefore theta = 40°

Hope this helps u !!

Answer:

-3 3/4

Step-by-step explanation:

So we have:

-1 1/4 + (-2 1/2)

Before solving this, lets just clean it up.

First off, since we know that a + and - sign equals a - sign, we can rewrite it as:

-1 1/4 - (2 1/2)

We need to also get a common denominator, which would be 4. The first fraction already has a denominator of 4, so it doesnt change. However, the second fraction is 1/2, and we need to multiply both sides by 2 to change the denominator from 2 to 4:

-1 1/4 - (2 2/4)

Now lets solve:

I will do the fraction seperate from the whole number to make it simpler:

-1 - 2

A negative subtracted makes it a larger negative so:

-3

-1/4 - 2/4

Again, a negative subtracted makes it a larger negative:

-3/4

Now recombine the numbers:

-3 3/4

So this is your answer.

Hope this helps!

Answer:

8900000 * 10^-3

Step-by-step explanation:

(8.9*10^-3)/(10^-6)

(8.9*10^-3)/(1/1000000)

8.9*10^-3* 1000000

8900000 * 10^-3

Answer:

2 [tex]ft^{3}[/tex]

Step-by-step explanation:

volume of a cuboid = length * breadth * height

= 2*1*1

=2 [tex]ft^{3}[/tex]

Answer:

The volume of container is 2 ft ³.

Step-by-step explanation:

We have,

We have Formula, Volume of Cuboid.

[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]

substitute the values

[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]

multiply the values

[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]

Hence, the volume of container is 2 ft ³.

Step-by-step explanation:

the distance between these two points is 11 units

Answer:

x=77 degrees

Step-by-step explanation:

The angles of a triangle always add to  180 degrees.

26 is already taken up 180-26=154

There are 2 angles left 154/2=77

x=77

Answer:

4:49

Step-by-step explanation:

Answer:

[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]

Step-by-step explanation:

Given

[tex]\sin(105^o)[/tex]

Required

Solve

Using sine rule, we have:

[tex]\sin(A + B) = \sin(A)\cos(B) + \sin(B)\cos(A)[/tex]

This gives:

[tex]\sin(105^o) = \sin(60 + 45)[/tex]

So, we have:

[tex]\sin(60 + 45) = \sin(60)\cos(45) + \sin(45)\cos(60)[/tex]

In radical forms, we have:

[tex]\sin(60 + 45) = \frac{\sqrt 3}{2} * \frac{\sqrt 2}{2} + \frac{\sqrt 2}{2} * \frac{1}{2}[/tex]

[tex]\sin(60 + 45) = \frac{\sqrt 6}{4} + \frac{\sqrt 2}{4}[/tex]

Take LCM

[tex]\sin(60 + 45) = \frac{\sqrt 6 + \sqrt 2}{4}[/tex]

Rewrite as:

[tex]\sin(60 + 45) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]

Hence:

[tex]\sin(105) = \frac{\sqrt 2 + \sqrt 6}{4}[/tex]

Answer:

22/33and 14/21

1/3

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The mode is the highest frequency data among the given data set is 2.

The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data.

Mode is the highest frequency of any number among data

For example 2,3,5,5,6,5,9,8,5,1

Here mode will be 5 because it has a frequency of 4 remaining all have a lower frequency than 5.

Given the data set is

2, 8, 16, 4, 12, 9, 2

2 has frequency = 2

And remaining all have a frequency as 1

Since 2 has the highest frequency so it will be mode.

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The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].

The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].

Where,

(h, k) are the vertices of the parabola.

According to the given question.

We have two graph.

The blue and red graph both represents the equation of downward parabola.

Since, blue graph represents the equation of downward parabola.

Whose equation is given

[tex]G(x) = 5 - x^{2}..(i)[/tex]

The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]

Where, (h, k) are the vertices of the parabola.

Compare the equation (i) with (ii)

We get

(h, k) = (0, 5) and a = -1.

Now, the red graph which also represents the downward parabola whose vertices are (0, 2)

Therefore, the equation red graph is given by

[tex]F(x) = a(x-0)^{2} + 2[/tex]

⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]

⇒ [tex]F(x) = 2 - x^{2}[/tex]

Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].

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Step-by-step explanation:

a. (0.60x + 0.70y)- 50 = 10

<=> 0.60x + 0.70y = 60

b. (x+y) = 5(x-y)

x+y=5x-5y

<=> 4x - 6y = 0

Answer:

B

Step-by-step explanation:

Other answers look like utter bs

Answer:

C) 2

Step-by-step explanation:

Answer:

No solution is possible

Step-by-step explanation:

You didn't indicate the number of adults and children.

Answer:

∠ 6 = 46°

Step-by-step explanation:

∠ 3 and ∠ 6 are alternate angles and are congruent , then

∠ 6 = ∠ 3 = 46°

Answer:

For a single digit in base 8, we need up to three digits in base 2. For two digits in base 8, we need 4, 5, or 6 digits in base 2. For three digits in base 8, we need 7, 8, or 9 digits in base 2.

Step-by-step explanation:

Answer:

Base = 2

Step-by-step explanation:

2⁸

Here 2 is the base and 8 is the exponent

Answer:

y = x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6) , let a = 1 , then

y = (x - 0)² + 6 , that is

y = x² + 6

Answer:

The given relation is presented as follows;

[tex]\dfrac{1}{a} + \dfrac{1}{b} +\dfrac{1}{c} = \dfrac{1}{a + b + c}[/tex]

Where 'a', 'b', and 'c' are member of real numbers, we have;

a⁹, b⁹, and c⁹ are also member of real numbers

When a⁹ = x, b⁹ = y, and c⁹ = z

By the above relationship, we have;

[tex]\dfrac{1}{x} + \dfrac{1}{y} +\dfrac{1}{z} = \dfrac{1}{x + y + z}[/tex]

Substituting x = a⁹, y = b⁹, and z = c⁹, we get;

[tex]\dfrac{1}{a^9} + \dfrac{1}{b^9} +\dfrac{1}{c^9} = \dfrac{1}{a^9 + b^9 + c^9}[/tex]

Step-by-step explanation:

Answer:

y = - 3

Step-by-step explanation:

x = 4 is a vertical line parallel to the y- axis

A line perpendicular to it will be a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates of the points the line passes through.

The line passes through (- 3, - 3) with y- coordinate - 3 , then

y = - 3 ← equation of perpendicular line

Answer:

(10,-2) x=10 y=-2

Step-by-step explanation: I used substitution

Given:

The equation of a line is:

[tex]y=5x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=5x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

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

[tex]y-(-4)=5(x-3)[/tex]

[tex]y+4=5(x)+5(-3)[/tex]

[tex]y+4=5x-15[/tex]

Subtracting 4 from both sides, we get

[tex]y+4-4=5x-15-4[/tex]

[tex]y=5x-19[/tex]

Therefore, the equation of the required line is [tex]y=5x-19[/tex].

Answer:

11/10°C

Step-by-step explanation:

7 x 3/10 = 21/10

Temperature at midnight = -1°C

Temperature at 7.00 am = 21/10°C -1°C = 11/10°C

Answer:

1.1°C

Step-by-step explanation:

Assuming we are starting at midnight, we know that at midnight it is -1°C. We want to find the temperature at 7:00 AM. Or 7 hours later than midnight. The question says that every hour the temperature rises by 3/10°C. In 7 hours, we need to multiply 3/10*7=21/10=2.1 °C. So, it rises by 2.1 °C. Next add that to the -1 from midnight. Do 2.1+-1=1.1 °C.

Hope this helps!

Answer:

367.5

Step-by-step explanation:

5x7x10.5

Answer:

367.5

Step-by-step explanation:

5 x 7 = 35

35 x 10.5 = 367.5