Find the perimeter of the square shown below.

A=100 cm2

Answer:

$12

Step-by-step explanation:

Answer: $12

Step-by-step explanation: 3x4=12

Answer:

28800

Step-by-step explanation:

first find Gerard's salary and then divide it by 1.25

Answer:

28800

Step-by-step explanation:

Let M be Martin and G be Gerard

Let 12:7 be 12x:7x

21000 = 7x

x = 3000

12x = 3000*12 = G after pay rise

12x = 36000 = G after pay rise

36000 = 125% G before pay rise

1.25G = 36000

G = 28800

Hope this helps ;)

Answer:

X > - 2

Step-by-step explanation:

Subtract twelve from both sides

12( - 2x < 16

- 12. -12

-2x < 4

Divide both sides by -2 to undo the multiplicstion between -2 and x

-2x < 4

÷ -2 ÷ -2

(when you Divide both sides of an inequality by a negative number you switch the sign to the opposite)

Answer:

o minutes5.10.15.20.25.30.35.40.45.50 minutes

Step-by-step explanation:

Hope it's help you ♥️♥️

Answer: 145%

Step-by-step explanation:

Convert fraction (ratio) 29 / 20 Answer: 145%

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

\(y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4\)

Option A is the correct answer g(x) = |x+3| by using the relation with the parent function.

Explain absolute value function.

A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.

The definition of the absolute value parent function, f(x)=| x |, is as follows:

f(x) = \(\left \{ {{x ~, ~ x > 0} \atop {0 ~ , ~x = 0}} \atop {-x ~, ~x < 0} \right.\)

Given parent function is f(x) = |x|

g(x) is obtained by stretching the graph of f(x) by a factor of 3.

Use the function g(x)=f(x−h) to translate the absolute value function f(x)=| x | horizontally.

The graph of f(x) is moved h units to the right to obtain g(x) for h>0

The graph of f(x) is translated h units to the left to obtain g(x) when h>0

Therefore, g(x) = |x+3|

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The best description of the histogram for the 2000 athletes will BE a  BIMODAL distribution because two distinct peaks will be formed by the

The distribution has two obvious groups; The OFFENCE and DEFENSE each of which has a NORMAL distribution.

For a NORMAL distribution, we have a peak centered in between to tails.

• The left tail of the offense class is about 150

• Centre or peak at 200

• Right tail at about 250

The right tail of the offense class correlates to the left tail of the defense class which ranges from of 250 to 350 with it's centre at 300.

An histogram in the form of the picture attached below will be obtained.

Hence, there are two distinct peaks and the right tail of one distribution is synonymous with the left tail of the other.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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we have the points

(9,7) and (7,5)

step 1

Find out the slope

m=(5-7)/(7-9)

m=-2/-2

m=1

step 2

Find out the equation in point-slope form

using

m=1 and point (9,7)

y-y1=m(x-x1)

substitute

y-7=(1)(x-9)

y-7=x-9 -------> equation in point slope form 1

using

m=1 and point (7,5)

substitute

y-5=(1)(x-7)

y-5=x-7 ---------> equation in point slope form 2

step 3

Convert to slope-intercept form

y-7=x-9 -----> y=x-9+7 ------> y=x-2 -----> equation in slope-intercept form

Convert to function notation

M = (  (x1 + x2) / 2  ,  (y1 + y2) / 2 )

(9, 0) = (  (x1 + 12) / 2  ,   (y1 + 3) / 2)

Break up this formula into two equations.

(x1 + 12) / 2 = 9           and          (y1 + 3) / 2 = 0

Solve for x1 and y1 from the equations.

another way to explain it

the formula for finding the midpoint of a segment given the coordinates of its endpoints is:

((x1+ x2)/2, (y1 +  y2)/2   {Average of the x coordinates, average of the y coordinates}.

For this problem we know the coordinates of the midpoint along with one of the endpoints.

So the x coordinate of the midpoint (9) must equal (12 + x2)/2.

That is:  9 = (12 + x2)/2  Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.

and another way

The x's are 3 apart and the y's are 3 apart. The other endpoint is (9 - 3, 0 - 3), or (6,-3).

hope this helped you have a good day this was ez

The volume of the box is 99 unit cubes.

A cube is a three-dimensional object that has six faces, twelve edges and eight vertices. The length, width and height of a cube usually has equal dimensions. The volume of the box is a function of the dimension of the cubes in it and the number of layers.

Volume of a box = number of layers x amount of units

9 x 11 - 99 unit cubes

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Answer: 107,000

Step-by-step explanation:

the exponent is a positive 5, so move the decimal point 5 places right.

if exponent is negative, go the other direction

Explanation:

Imagine that f(x) was a road without any gaps. The road can be straight or it can be curved somehow.

Now imagine that a horizontal line is the border between two countries. The country up north is the positive country and the southern country is negative.

f(1) > 0 means we're in the northern country since f(x) is positive here

then f(3) < 0 means we're now in the southern negative country

Somewhere along the road we must have crossed the border at least one time. This must be the case because the road does not have any gaps in it and we cannot teleport. This is what it means to be a continuous function. To draw a continuous curve, you cannot lift your pencil up.

So because f(x) transitions from positive to negative, this means f(x) = 0 at some point at least once. So that's why there exists a c such that f(c) = 0

A statement which correctly describes the comparison between the shapes of the box plots include the following: A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.

In Mathematics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.

By critically observing the box plot (box-and-whisker plot) which represent basketball scores for the Bulldogs basketball team has a median of 80 (vertical line dividing the box into two equal halves), which simply means that both whiskers on either sides of the box plot (box-and-whisker plot) are relatively equal and symmetric.

On the other hand (conversely), the box plot (box-and-whisker plot) for the Wolverines basketball team shows that the median is more closer to the third quartile (upper quartile) and the whisker to the right of the box plot is longer, which ultimately implies that Wolverines' distribution is negatively skewed.

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Complete Question:

These box plots show the basketball scores for two teams.

Bulldogs

55 70 80 90 105

Wolverines

35 55 80 85 96

Basketball scores

Compare the shapes of the box plots.

A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.

B. Both distributions are symmetric.

C. Both distributions are negatively skewed.

D. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is positively skewed​

Pyramid have faces=n triangles & 1 n-sided polygon

Edges=2n

vertices=n + 1

An edge is a line segment that serves as a transition between two faces. It is also sometimes referred to as the line segment that connects two vertices.

The location where two or more edges intersect is the formal definition of the vertex in mathematics. The corner points are called vertices.

A solid's face refers to each unique flat surface. Solids have multiple faces.

The number of faces in a pyramid is equal to one more than the base's polygon's number of sides.

faces = n triangles & 1 n-sided polygon

One more than the number of sides at the base of the polygon makes up the number of vertices in a pyramid.

hence, vertices = n + 1

Two times the number of sides at the base of a polygon equals the number of edges on a pyramid.

Therefore, edges = 2n

A pyramid has n triangles & 1 n-sided polygon Faces

A pyramid has  2n Edges.

A pyramid has  n + 1 Vertices.

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The area of the shaded portion in the equilateral triangle with sides 6 is 9√3 - 36π.

To find the area of the shaded portion in the equilateral triangle, we need to determine the area of the three arcs and subtract it from the area of the equilateral triangle.

First, let's find the area of one arc. Each arc has a radius equal to the length of the side of the equilateral triangle, which is 6. The formula for the area of a sector is A = (θ/360)πr², where θ is the central angle in degrees.

In an equilateral triangle, each interior angle measures 60 degrees, so the central angle of the arc is 120 degrees (360 degrees divided by 3). Plugging these values into the formula, we get A_arc = (120/360)π(6)² = (1/3)π(6)² = 12π.

Since there are three identical arcs, the total area of the arcs is 3 times the area of one arc, which is 3(12π) = 36π.

Now, let's find the area of the equilateral triangle. The formula for the area of an equilateral triangle is A_triangle = (√3/4)s², where s is the length of a side.

Plugging in the value of the side length, we have A_triangle = (√3/4)(6)² = (√3/4)(36) = 9√3.

Finally, we subtract the area of the arcs from the area of the equilateral triangle to find the shaded portion's area: A_shaded = A_triangle - A_arc = 9√3 - 36π.

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There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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The median value in the data set is the average of the two middle values which is: 23.

In an ordered data set, the median is the middle value or average of the two middle values in the data set.

List out each data point in the data set given:

20, 20, 20, 22, 22, 24, 26, 26, 26, 26

The middle values in the data set are, 22 and 24.

Median = (22 + 24)/2

Median = 23

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Answer:

$248.75

Step-by-step explanation:

25% more of 199 is 248.75

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer: supplement <17

Step-by-step explanation:

1. 17 is greater

2. supplement is smaller

Answer:

B. ΔAXC ≅ ΔBXC by SSS, so AC ≅ BC because they are corresponding parts of congruent triangles.

Step-by-step explanation:

From the given diagram, XC is common to ΔAXC and ΔBXC.

And it can be observed that CD divides AB into two equal length segments.

Thus,

AX ≅ BX (bisection property of a line)

AC ≅ BC (congruence property of triangles)

Therefore, the congruence relationship between triangles ΔAXC and ΔBXC would be, Side-Side-Side (SSS) so as to show that AC ≅ BC.

The probability of tossing "heads" on each of your first two tosses is 0.25

Probability = n(E)/n(S)

Where E is the possibility of an event occurring

and S is the sample space i.e., the total number of possible outcomes.

Probability is the measure of how likely an event can happen. The probability of any event lies between 0 and 1 only.

The sample space for when you toss one coin is - H, T

So the probability to get an H is= 1/2

=0.5

Similarly, The sample space for when you toss two coins is HH, TT, HT, TH

So, the probability to get an H on each of your first two tosses is = 1/4

=0.25

Therefore, The probability of tossing "heads" on each of your first two tosses is 0.25

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The solution is: A) f(x) = -3x + 7 is the same function as -3x + 7 = y.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

the function is:  -3x + 7 = y

now, we have to find the same function as -3x + 7 = y.

now, let, the function is represented by f(x)

so, we have,

y = f(x)

so, we get,

f(x) = y = -3x + 7

we get,

f(x) = -3x + 7

so, f(x) = -3x + 7  is the same function as -3x + 7 = y.

Hence, A) f(x) = -3x + 7 is the same function as -3x + 7 = y.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

24234221111111111111111111111

Step-by-step explanation: