What is the value of the underlined digit: 498,217 *

Answer:

????

Step-by-step explanation:

I don't get this

at all

Answer:

k = -0.1

Step-by-step explanation:

An ordered pair is in the form (x,y)  We can use the x and y from the point (-30,3) to find k

y = kx  We will replace x with -30 and y with 3

3 = (-30)k  divide both sides by -30

-0.1 = k  or [tex]\frac{-1}{10}[/tex] in the fraction form

Answer:

1,024yd

Step-by-step explanation:

a=a to the second,= 32(2)= 1,024

The figure KLMN is being rotated by 90°, which is a rigid transformation, the true statements are therefore;

(D) Figure RSTU is congruent to figure KLMN

(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

The given parameters are;

In KLMN, KN||LM

The transformation applied to figure KLMN = A 90° clockwise rotation about point P.

The image of KLMN following the rotation transformation is Figure RSTU.

Please find attached a drawing of the possible diagram in the question obtained from a similar question online.

The options from the question are;

(A) [tex] \overline{ST}[/tex] is parallel to [tex] \overline{RU}[/tex]

(B) [tex] \angle R[/tex] is the same measure as [tex] \angle N[/tex]

(C) [tex] \overline{RS} [/tex] is the same length as \overline{MN}

(D) Figure RSTU is congruent to figure KLMN

(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

A rotation transformation is a rigid transformation, therefore;

The distances between any two points on the pre–image is the same as the distance between corresponding points on the image, which gives;

Figure KLMN [tex] is congruent to [/tex] Figure RSTU

Figure KLMN [tex] \cong [/tex] Figure RSTU

According to the postulate, Corresponding Angles of Congruent Figures are Congruent, we have;

[tex] \angle T \cong \angle M[/tex]

Which gives;

[tex] \angle T[/tex] = [tex] \angle M[/tex]

[tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

The correct options are therefore;

(D) Figure RSTU is congruent to figure KLMN

(E) [tex] \angle T[/tex] is the same measure as [tex] \angle M[/tex]

Learn more about rotation transformation in Euclidean geometry here:

https://brainly.com/question/4077402

#SPJ1

Based on the calculations, the coordinates of the other end of the fence are equal to (-1, -7).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3.5 = (8 + x₂)/2

Cross-multiplying, we have:

7 = 8 + x₂

x₂ = 7 - 8

x₂ = -1.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

-1 = (5 + y₂)/2

Cross-multiplying, we have:

-2 = 5 + y₂

y₂ = -2 - 5

y₂ = -7.

Read more on midpoint here: https://brainly.com/question/27663120

#SPJ1

Building systems of equations, we have that:

a) The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

b) The system of equations is composed by the equations given below.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For item a, the variables are given as follows:

Considering that a sell is positive money and a buy negative, and the text, the equations are given as follows:

Using a calculator, the solutions are given as follows:

x = 1200, y = 500, z = 300.

Hence:

The price of a cow is of 1200 coins, the price of a sheep is of 500 coins and the price of a pig is of 300 coins.

For item b, all missing values are variables, given by:

x, y, z, t and w.

From the sum of the rows:

From the sum of the columns:

From the diagonals:

The system is composed by all these equations.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Use the vertical line test to determine whether a graph represents a function or not .

If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is a relation but not a function.

A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.

what is function?

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

Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.

To learn more about Functions

visit  : brainly.com/question/11624077

#SPJ9

Answer:

D:function, E:not a function

Step-by-step explanation:

We can figure this out using the line test. To do the line test you draw multiple straight, vertical lines along the graph, and if at any point the figure in question touches one of the lines multiple times, that figure is not a function.

:D

Greetings from Brasil...

If X grows and Y grows, the function is increasing

If X increases and Y decreases, the function is decreasing

Besides that, according to the statement, we can conclude that the parabola has an upward concavity, that is, a > 0. In this case the vertex will be a minimum point

check the attachments

P.S. - vertex coordinate = (3; 0)

To two decimal places,

√70

must lie between 8.3

and 8.4

Answer:

f(8) = -208

Step-by-step explanation:

Apply 8 into the equation

f(8) = -3(8)² - 2(8)

      = -192 - 16

      = -208

8 will be your x value since it's implied within the question itself.

Answer:

-208

Step-by-step explanation:

Given function:

[tex]\text{f}(x)=-3x^2-2x[/tex]

To find f(8), substitute x = 8 into the function:

[tex]\begin{aligned}\text{f}(x) & =-3x^2-2x\\\implies \text{f}(8) & =-3(8)^2-2(8)\\& =-3(64)-2(8)\\& =-192-16\\& = -208\end{aligned}[/tex]

Therefore, f(8) = -208.

Answer:

(0;3), (7.5;0).

Step-by-step explanation:

if the given equtaion is y=-0.4x+3, then

1) condition 'x-intercept' means y=0, then

-0.4x+3=0; ⇒ x=7.5;

2) condition 'y-intercept' means x=0, then

y=-0.4*0+3; ⇒ y=3.

3) finally,

x-intercept is x=7.5;

y-intercept is y=3.

Answer:

Step-by-step explanation:

The values in percentages will be 37.7% and the maximum will be: 45.3%

From the information, approximately 41.5% of city residents prefer local businesses over national chains and the survey had a margin of error of ±3.8%.

Therefore, the minimum number will be:

= 41.5% - 3.8%

= 37.7%

The maximum will be:

= 41.5% + 3.8%

= 45.3%

Learn more about percentages on:

brainly.com/question/19247356

#SPJ1

Answer:

12.50m/s

in 2 seconds: 25

im not really good at math but i tried

Answer:

8.9

Step-by-step explanation:

When given the area of the rectangle to be 59.63m2.....AND the length to be 6.7m

To calculate the area of a rectangle = L×B

Width = Area ÷ Length

= 59.63m2 ÷ 6.7m

Width = 8.9m

Answer:

width = 8.9 meters

Step-by-step explanation:

Area of a rectangle = length * width

In this case:

Width = Area of a rectangle / length

Width = 59.63m² / 6.7m

Width = 8.9 m

Answer:

A would be reflected on the y-axis first then translated up 6 units

Step-by-step explanation:

The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C.

m = (55.5 - 19)/5

We are to deduce from the question the equation that may be used to calculate, m, the average number of miles she would have to ride to reach her objective.

Given:

"Arianys wants to ride her bicycle 55.5 miles"

and

"She has already ridden 19 miles"

Hence,

The number of miles she needs to ride more is

55.5 miles - 19 miles

= 36.5 miles

'

If m is the average number of miles she must cycle in 5 days to reach her objective,

Then, we can write that  

m = 36.5/5

OR

m = (55.5 - 19)/5

As a result, the equation that may be used to get m is 5m = 55.5 - 19.

C. m = (55.5 - 19)/5 is the right answer.

Learn more on Writing equation:

https://brainly.com/question/18831322

#SPJ1

Answer:

5.3 x 10^-23 g

Step-by-step explanation:

it is true

the square root of 16 is 4

According to the image, the figure moved four times to return to its initial position.

The starting position of the figure is in the lower left corner of the frame.

The movement made by the figure from position 1 to position 2 is that it moves from the lower left corner to the lower right corner.

The movement made by the figure from position 2 to position 3 is that it moves from the lower right corner to the upper right corner. Additionally, the figure rotates to the left 180°.

The movement that the figure performs from position 3 to position 4 is that it moves from the upper right corner to the upper left corner.

The movement made by the figure from position 4 to position 5 is that it moves from the upper left corner to the lower left corner. Additionally, the figure is rotated 180° to the left again.

Learn more about geometric figures in: https://brainly.com/question/2778048

#SPJ1

Volume of water in the tank after one minute is 10,991 gallons

Volume of water in the tank after two minutes is 10,962 gallons

Volume of water in the tank after one minute is 10,730 gallons

The given parameters are;

The volume of water the large industrial tank holds, V = 11,020 gallons

The rate of flow out of the tank through the drain on the bottom; Q = 29 gallons per minute

The initial level of water in the tank if the tank is initially filled is; 11,020 gallons

We want to find out the amount of water in gallons left in the tank after one minute.

The volume, V_out, of water that flows out of the tank after a given time, t, is given as follows;

V_out = Q × t

When t = 1 minute, we have;

V_out = 29 * 1

V_out = 29 gallons

The volume of water left in the tank, V_in tank , is given as follows;

V_in tank = V - V_out

Thus, volume left after one minute is;

V_in tank = 11020 - 29

V_in tank = 10991 Gallons

Similarly, after 2 minutes;

When t = 2 minute, we have;

V_out = 29 * 2

V_out = 58 gallons

The volume of water left in the tank, V_in tank , is given as follows;

V_in tank = V - V_out

Thus, volume left after two minutes is;

V_in tank = 11020 - 58

V_in tank = 10672 Gallons

Similarly, after 10 minutes;

When t = 10 minute, we have;

V_out = 29 * 1 0

V_out = 290 gallons

The volume of water left in the tank, V_in tank , is given as follows;

V_in tank = V - V_out

Thus, volume left after ten minutes is;

V_in tank = 11020 - 290

V_in tank = 10933 Gallons

Read more about Volume flow rate at; https://brainly.com/question/24586788

#SPJ1

Answers:

f(6) = 4

f ' (6) = 1/6

===========================================================

Explanation:

f(6) = 4 since the point (6,4) is on the f(x) curve. This is where the tangent is touching.

The tangent line also goes through (0,3)

Let's find the slope of the line through those two points.

[tex](x_1,y_1) = (6,4) \text{ and } (x_2,y_2) = (0,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - 4}{0 - 6}\\\\m = \frac{-1}{-6}\\\\m = \frac{1}{6}\\\\[/tex]

The slope of the tangent line is 1/6. This is the value of f ' (6) because the derivative measures the tangent at the given x value. It's useful to determine the instantaneous rate of change.

Answer:

Slope = 2.3332

Interpretation: As increases by 1 unit,  y increases by 2.332 units

Step-by-step explanation:

Equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept

Comparing y=-2.3332x+123.98 to the standard equation form we get

m = 2.3332
b = 123.98

Slope is rise/run
It tells you the change in y-value for a unit change in x-value

Here 2.332 can be interpreted to mean that as x changes by +1 value, y changes by + 2.332

Answer:

D

Step-by-step explanation:

Acute angle are angles less than 90°.And 43° is less than 90° and the inverse is not less than 90°.

The liquidity premium for the corporate bond is 0.25%.

Any additional compensation needed to stimulate investment in assets that cannot be quickly and effectively converted into cash at fair market value is known as a liquidity premium. For instance, due to its relative illiquidity, a long-term bond will have a higher interest rate than a short-term bond.

Liquidity premium for corporate bond will be:

= 5.25 - 3.5 - 1.5

= Interest - Treasury - Default risk

= 0.25%.

Therefore, the liquidity is 1.25%.

Learn more about liquidity on:

https://brainly.com/question/13873343

#SPJ1

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

Given that;

To determine the numerical value of the expression, replace all the occurrence of a and b with -3 and 4 in the respectively and simplify.

√361 - 2a² - [b - 17]

√361 - 2(-3)² - [(4) - 17]

√361 - 2(9) - [4 - 17]

√361 - 18 - [-13]

√361 - 18 + 13

19 - 18 + 13

1 + 13

14

Given that a = -3 and b = 4, the numerical value of the expression (√361 - 2a² - [b - 17]) is 14.

Learn to solve more algebraic problems here: https://brainly.com/question/27122308

#SPJ1

The standard form of the equation of the circle is (x+3)²+(y-4)²=9 .

The slope of the line is

A circle is defined as the locus of a moving point which is always equidistant from a given point.

The given point on the circle is  (-3, 4) and the radius is 3 units.

Hence the standard form of the equation of the circle is :

(x-{-3})²+(y-4)²=3²

or,  (x+3)²+(y-4)²=9

Let the two given two points as A(-8, -12) and B(1, 24).

Now the slope of the line AB can be calculated by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]

Now let us put the given values in the equation to calculate slope:

[tex]m_{AB}=\frac{24-(-12)}{1-(-8)}\\\\or, m_{AB}=\frac{36}{9} \\\\or, m_{AB}=4[/tex]

Hence the slope of the line is 4.

To learn more about circle visit:

https://brainly.com/question/23799314

#SPJ9