a. The cardinal number of {213, 214, 215, 216, ..., 912) is

Answer:

I agree with cristafers work

Step-by-step explanation:

The new coordinates of S' will be located at (1, 8)  after translating 4 units right and 2 units down.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

Given that Δ RTS has a vertices R (10,0) S (3,4) And T(4,2)

The original coordinate of S is (3,4).

To determine the image of S' after a vertical transition two units down and a horizontal transition of four units to the right

The y-coordinate will increase by 4 if we move it to the right.

This will then become 4+4 =8.

If we shift it downward, it will become negative and read as -2.

This will then become 3-2 = 1.

So, the coordinate of S' will be located at (1, 8)

Hence, the new coordinates of S' will be located at (1, 8)  after translating 4 units right and 2 units down.

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

Its B

Step-by-step explanation:

The number of hours is the variable paired with the hourly wage, minus 45

In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

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all work should be in the picture, lmk if theres anything confusing

Answer:

620. 0.25 x 620 = 155

Given :

Janelle is viewing an image of a sculpture. She enlarges it using a scale of 0.2 cm to 1/8 ft.

To Find :

How many centimetres in the image are used to show 1 foot of the sculpture.

Solution :

Ratio of enlargement is :

\(R=\dfrac{\text{Size in feet}}{\text{Size in cm}}\\\\R=\dfrac{\dfrac{1}{8}}{0.2}\\\\R=\dfrac{5}{8}\ ft/cm\)

Let, enlarged size of 1 foot required x cm of image.

\(\dfrac{1}{x}=\dfrac{5}{8}\\\\x=\dfrac{8}{5}\\\\x=1.6\ cm\)

Therefore, 1.6 cm of image is required.

Hence, this is the required solution.

Answer:

1.6

Step-by-step explanation:

The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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The answer is 4 5/6

Step-by-step explanation:

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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Answer:

13.8h-2.3hk

Step-by-step explanation:

Answer:

The probability that all 25 will get the type of book they want from current stock is 0.024

Step-by-step explanation:

21% of all students who have to buy a text for a particular course want a new copy (the successes!), whereas the other 79% want a used copy.

p= 0.21

q=0.79

Let x be the no. of students who want a new copy

x can take values 15,14,13,12,11,10

We are supposed to find probability that all 25 will get the type of book they want from current stock

\(P(X=x) =\sum_{x=10}^{15} (0.21)^x (0.79)^{25-x}=0.024\)

Hence the probability that all 25 will get the type of book they want from current stock is 0.024

Answer:

3.2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

30 minus 10 is 20

20 divided by 5 is 4

We will find LCM for the numbers 125 and 175

So, factorize both numbers will give:

Answer:

1570f³t

Step-by-step explanation:

V=πr²h

V=3.14×10²×5

V=3.14×100×5

V=314×5

V=1570

Answer:

-3/4

Step-by-step explanation:

From point (0,3), to get to point (4,0) you would need to go down 3 units, and right 4 units.

Hope this helps

Answer:

40-26.50=m

Step-by-step explanation:

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

2/18 = 1/9

Step-by-step explanation:

2/3 x 1/3 = 2/9

2/9 x 1/2 = 1/9

Answer:

solution

given=3a+3a^2+3a^3+....+...+...3an

first term(t1)=3a

second term(t2)=3a^2

third term(t3)=3a^3

for arithmetic mean ,d1=d2

d1=t2_t1=3a^2_3a=3a(a_1)

d2=3a^3_3a^2=3a^2(a_1)

here d1 is not equal to d2.

so it's not an arithmetic series.

Again,for geometric mean,r1=r2

r1=d2/d1=3a^2/3a=a

r2=d3/d2=3a^3/3a^2=a

here ,r1 is equal to r2.

so ,it's an geometric series.

Answer:

22 units

Step-by-step explanation:

Add up all the units.

Answer:

y=2(5 or x) +6 should be it

Step-by-step explanation:

Answer:

Angle + 144.4 = 180

Angle + Supplementary angle = 180 degrees

Angle = 180 -144.4

Angle = 35.60 degrees

Step-by-step explanation:

Answer:

m= -1/7

b=2

Step-by-step explanation:

Answer

(1/4) = (5/20)

(3/5) = (12/20)

Explanation

The two fractions are (1/4) and (3/5).

We need to use the denominators to find the equivalent fractions.

The denominators are 4 and 5.

The common multiple for 4 and 5 are 20.

(1/4) multiplied by (5/5)

(1/4) × (5/5) = (5/20)

(3/5) multiplied by (4/4)

(3/5) × (4/4) = (12/20)

Hope this Helps!!!