On a coordinate plane, square P Q R S is shown. It has points (0, 4), (4, 4), (0, 0), and (4, 0).

Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other.
Step 1: Calculate the slope of the diagonals.

The slope of diagonal PS is

.

The slope of diagonal QR is

.

Step 2: Calculate the midpoint of the diagonals.

The midpoint of PS is

.

The midpoint of QR is

.

The diagonals of the square are perpendicular bisectors because the diagonals are

.

Answers

Answer 1

The slope of diagonal PS is  -1 and the slope of diagonal QR is 1 based on the information about the coordinate plane.

How to illustrate the information?

Step 1: Calculate the slope of the diagonals.

The slope of diagonal PS is  -1

The slope of diagonal QR is 1

Step 2: Calculate the midpoint of the diagonals.  

The midpoint of PS is (2,2)

The midpoint of QR is  (2,2)

The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same midpoint

Learn more about coordinate plane on:

https://brainly.com/question/2644832

#SPJ1

Answer 2

Answer:

1. The slope of diagonal PS is -1.

2. The slope of diagonal QR is 1.

3. The midpoint of PS is (2,2).

4. The midpoint of QR is (2,2).

5. The diagonals of the square are perpendicular bisectors because the diagonals are perpendicular and share the same midpoint.

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

On A Coordinate Plane, Square P Q R S Is Shown. It Has Points (0, 4), (4, 4), (0, 0), And (4, 0).Prove

Related Questions

The following uses a 4-step proof, starting with the given statement. Complete the following proof

Given: JK | MN

Prove: 1, 2 are complementary

Answers

1) [tex]\overline{JK} \perp \overline{MN}[/tex]

2) [tex]\angle JKM[/tex] is a right angle (perpendicular lines form right angles)

3) [tex]\triangle JKM[/tex] is a right triangle (definition of a right triangle)

4) [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are complementary (the acute angles of a right triangle are complementary)

Hi I don't know how to do this

Answers

Using a system of equations, the weight of 5 apples, 2 oranges are 4 bananas is given as follows:

B. 1147 gm.

What is a system of equations?

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

In this problem, the variables are:

Variable x: Weight of an apple.Variable y: Weight of an orange.Variable z: Weight of a banana.

Considering the data given, the equations are:

3x + 5y = 928.4y + 6z = 1088.5x + 3z = 799.

From the first equation:

3x = 928 - 5y.

x = 309.33 - 1.667y.

From the second equation:

6z = 1088 - 4y

z = 181.33 - 0.667y

Replacing in the third equation:

5x + 3z = 799

5(309.33 - 1.667y) + 3(181.33 - 0.667y) = 799

10.336y = 12961.64

y = 1291.64/10.336

y = 125 gm.

The other weights are:

x = 309.33 - 1.667y = 309.33 - 1.667 x 125 = 101 gm.z = 181.33 - 0.667y = 181.33 - 0.667 x 125 = 98gm.

The weight of 5 apples, 2 oranges are 4 bananas is:

5x + 2y + 4z = 5 x 101 + 2 x 125 + 4 x 98 = 1147 gm, option B.

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

#SPJ1

find the slope of a line parallel to the line through the given points. E(5, 7), F(3, 1) •-3
•-1/3
•1/3

Answers

Answer:

3

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (1 - 7)/(3 - 5)

slope = -6/(-2)

slope = 3

Parallel lines have equal slopes.

Answer: 3

Apply the distributive property to factor out the greatest common factor. 24j-16=

Answers

Answer:

8(3j - 2).

Step-by-step explanation:

24j-16

GCF = 8

so the answer is

8(3j - 2).

successor of -501 is​

Answers

Answer:

-500

Step-by-step explanation:

since 501 has a negative sign,add 1 to to the number,the next number will be -500

-501 +1 = -500

successor in this case means a number that succeeds another

PLEASE HELP IM STUCK PLEASE HELP

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

x = number of years

• bush grows 3cm per year

• the initial height is 5cm

3cm per year times x number of years: y = 3x

Add the initial height of 5cm: y = 3x + 5

Help with these two problems and show work please !!

Answers

Answer:

1) [tex]x_1=-1-2\sqrt{2},\ x_2=-1+2\sqrt{2}[/tex]

2) [tex]x_1=\dfrac{-5 - \sqrt{13}}{6},\ x_2=\dfrac{-5 + \sqrt{13}}{6}[/tex]

Step-by-step explanation:

[tex]{\large \textsf{ Quadratic Formula: }}x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\ \Bigg{\|}\ \textsf{when }ax^2+bx+c=0[/tex]

Given quadratic equations:

1. [tex]x^2+2x-7=0[/tex]

2. [tex]4x^2-3=x^2-5x-4[/tex]

1. x² + 2x - 7 = 0

[tex]\implies a=\textsf{1},b=\textsf{2},c=\textsf{-7}[/tex]

Step 1: Substitute the given values into the formula and simplify.

[tex]\begin{aligned}\implies x&=\dfrac{-(\textsf{2})\pm \sqrt{(\textsf{2})^2-4(\textsf{1})(\textsf{-7})}}{2(\textsf{1})}\\\implies x&=\dfrac{-2\pm \sqrt{4-4(-7)}}{2}\\\implies x&=\dfrac{-2\pm \sqrt{4+28}}{2}\\\implies x&=\dfrac{-2\pm \sqrt{32}}{2}\end{aligned}[/tex]

Step 2: Simplify the radicand (under the square root).

[tex]\begin{aligned}x&=\dfrac{-2\pm \sqrt{16\times2}}{2}\\x&=\dfrac{-2\pm 4\times\sqrt{2}}{2}\\x&=\dfrac{-2\pm 4\sqrt{2}}{2}\end{aligned}[/tex]

Step 3: Separate into two solutions and simplify them.

[tex]\implies x_1&=\dfrac{-2 - 4\sqrt{2}}{2},\ x_2&=\dfrac{-2 + 4\sqrt{2}}{2}[/tex]

[tex]\begin{aligned}\implies x_1&=\dfrac{-2}{2}+\dfrac{- 4\sqrt{2}}{2},\ x_2=\dfrac{-2 + 4\sqrt{2}}{2}\\\implies {x_1&=\boxed{-1-2\sqrt{2}},\ x_2=\boxed{-1+2\sqrt{2}} \end{aligned}[/tex]

----------------------------------------------------------------------------------------------------------------

2. 4x² - 3 = x² - 5x - 4

Step 1: Set the equation to zero (by moving the "x² - 5x - 4" to the left).

4x² - 3 - x² + 5x + 4 = 0 [ Combine like terms. ]

3x² + 5x + 4 = 0

[tex]\implies a=\textsf{3},b=\textsf{5},c=\textsf{1}[/tex]

Step 2: Substitute the given values into the formula and simplify.

[tex]\begin{aligned}\implies x&=\dfrac{-(\textsf{5})\pm \sqrt{(\textsf{5})^2-4(\textsf{3})(\textsf{1})}}{2(\textsf{3})}\\\implies x&=\dfrac{-5\pm \sqrt{25-12}}{6}\\\implies x&=\dfrac{-5\pm \sqrt{13}}{6}\end{aligned}[/tex]

Step 3: Separate into two solutions.

[tex]\implies x_1=\dfrac{-5 - \sqrt{13}}{6},\ x_2=\dfrac{-5 + \sqrt{13}}{6}[/tex]

Learn more about quadratic equations here:

brainly.com/question/28123532

brainly.com/question/28063094

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. On a number line, point D is at -3, and point E is at 6. The point F lies on . The ratio of to is 2 : 3. Where does point F lie on the number line

Answers

On the number line the position of point F is at point 4.

According to the statement

We have a given that the on a number line , point D is at -3, and point E is at 6. The point F lies on the ratio of to is 2 : 3.

and we have to find the F point on the number line.

Firstly,

Number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.

So, According to given information,

Point D is at -3, and point E is at 6.

Ratio of point E to F = 6*2/3

Then

Ratio of point E to F = 6*2/3

After solving it

The point F = 2*2

The point F = 4.

So, On the number line the position of point F is at point 4.

Learn more about number line here https://brainly.com/question/12399107

#SPJ4

Which is the graph of the function f(x) = x3 + x2 + x + 1?

Answers

Answer:

Step-by-step explanation:

      the answer is on the graph

Derrick had a 0.250 batting average at the end of his last baseball season, which means he got a hit 25% of the times he was up to bat. if derrick had 47 hits last season, how many times did he bat?

Answers

The number of times that Derrick batted last season is 188 times.

How many times did Derrick bat?

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. Percentage is a measure of frequency. The sign used to denote percentage is %.

A percentage of 25% here means that twenty five times out of hundred times, Derrick hit the ball. In order to convert a percentage to a decimal, divide the percentage by 100.

Number of times Derrick bat last season = Number of hits last season / percentage of his batting average

47 / 25%

47 / 0.25 = 188

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

A motorcycle travels 20 miles west and then turns and goes 52° north of west another 38 miles. How far is the motorcycle from its starting point?? Round your answer to the nearest tenth
__ miles

Answers

Answer:

52.7 miles

Step-by-step explanation:

Please refer to attached photo. (Apologies for the terrible drawing).

We can deduce from A to B the distance is 20 miles, therefore no calculations is required.

However, from B to C, we will have to find the horizontal and vertical distances.

Horizontal Distance B > C =  = hBC = [tex]BCcos(52)[/tex] = [tex]38cos(52) miles[/tex]

Vertical Distance B > C = vBC = [tex]BCsin(52)[/tex] = [tex]38sin(52)miles[/tex]

Here you can see the whole diagram is a right angle triangle. Which means, we can use Pythagoras' Theorem to find AC.

By Pythagoras Theorem,

[tex]c^{2} =a^{2}+b^{2}[/tex]

[tex]AC^{2} = (AB + hBC)^{2} + vBC^{2} \\AC^{2} = (20+38cos(52))^{2} +(38sin(52))^{2} \\AC = \sqrt{(20+38cos(52))^{2} +(38sin(52))^{2} } \\AC = 52.7 miles[/tex](nearest tenth)

Solve 5x=125 using the one-to-one property of exponents.

A) X=In(125)
B) x = 1
C) x = 3
OD) x = 5

Answers

Answer:

C)  x = 3

Step-by-step explanation:

Given equation:

[tex]5^x=125[/tex]

Rewrite 125 with base 5:  125 = 5³

[tex]\implies 5^x=5^3[/tex]

[tex]\textsf{Apply the one-to-one property of exponents}: \quad a^{f(x)}=a^{g(x)} \implies f(x)=g(x)[/tex]

[tex]\implies x=3[/tex]

Since 125 is 25 times 5, I may rewrite it as 125 is 5 times 5 times 5. Add the exponents one plus one plus one using the same base. Simply put, this is five to the third power. because their bases are each five. Technically, since the university exponent is log, u could take the log, base five, of both sides, making X equal to 3.

(03.01 MC)
Simplify
the square root of 4 divided by 3 to the third power , the square root of 4

Answers

Answer:  [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{4} }{3^{3} }[/tex]
The square root of 4 can be written as 2
3 to the third power can be written as 9

So, the answer is
[tex]\frac{2}{9}[/tex]

Graph the line with the slope 1/3 and x-intercept 3

Answers

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Slope:

1

3

y-intercept:

(0 , 3)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(0 , 3)

Point A is located in which quadrant?





IV
III
I
II

Answers

Answer:

Quadrant II

Step-by-step explanation:

This is because the top right is I, the top left

is II, the bottom left is III, and the bottom right is IV.

the correct answer would be Quadrant ll

True or false: the mayans wrote the digits in their numerals in a vertical format

Answers

Answer:

True

Step-by-step explanation:

a cone has a height of 16 centimeters and a radius of 12 centimeters. what is the exact lateral and surface area of the cone? type the correct answer in each box. use numerals instead of words.

Answers

The lateral and total surface areas of the given cone are 753.98 cm² and 1206.31 cm² respectively.

What are the formulae for lateral and total surface areas of a cone?

A cone has a height 'h', radius 'r', and slant height 'l'.

The slant height of the cone is obtained by the Pythagorean theorem. I.e.,

l² = h² + r²

Then,

Its lateral surface area(LSA) = πr([tex]\sqrt{h^2+r^2}[/tex]) square units and

Its total surface area(TSA) = πr(r + l) square units

Calculation:

It is given that,

A cone has a height h = 16 cm and radius r = 12 cm

Then, the slant height is calculated by

l² = h² + r²

l  = [tex]\sqrt{h^2+r^2}[/tex]

On substituting,

l = [tex]\sqrt{16^2+12^2}[/tex]

 = [tex]\sqrt{400}[/tex]

 = 20 cm

So,

LSA = πr([tex]\sqrt{h^2+r^2}[/tex])

       = π × 12 × ([tex]\sqrt{16^2+12^2}[/tex])

       = π × 12 × 20

       = 753.98 cm²

and

TSA = πr(r + l)

       = π × 12 × (12 + 20)

       = π × 12 × 32

       = 1206.37 cm²

Therefore, the lateral and total surface areas of the cone with a height of 16 cm and a radius of 12 cm are 753.98 cm² and 1206.37 cm².

Learn more about a right cone and its surface areas here:

https://brainly.com/question/23340582

#SPJ4

Answer: The lateral area is 240π square centimeters. The total surface area is 384π square centimeters.

Step-by-step explanation:

PLEASE HELP (the picture has the problem)

Answers

Brother is so easy all you have to do is divide 12 by 18 and and use the value to x 13.5 and voila answer is c) 9 :D
Answer: 9

Explanation:
12/18 = x/13.5
12(13.5) = 18x
162/18 =18x/18
9= x

The variability around a regression line, which determines the fit of a regression line, can be calculated in Excel. Which function does Excel use for this residual variance?

Answers

Excel uses VAR function for determining the residual variance.

What is residual variance?

The variation of any error is known as residual variance, also known as unexplained variance or error variance.

Depending on the type of analysis you're doing, the precise definition will vary. For instance, random fluctuations in regression analysis produce volatility around the "actual" regression line.There are two components to a regression line's total variance: variation that can be explained and variance that cannot. Simply put, the residual variance after deducting the variation resulting from the regression from the total variance of the dependent variable is the residual variance.

Learn more about residual variance here:

https://brainly.com/question/27464491

#SPJ4

1. when y=7 , what is the value of x?

2. what is the y-intercept of the graph?

Answers

1) Correct.

2) The y-intercept is when x=0, so it is (0,5).

d) Arrange 8/9,7/18,10/16 in ascending order of magnitude​

Answers

8/9 = 0.888888....

7/18 = 0.388888888889

10/16 = 0.625

Ascending order - means going up, smallest to largest. (Imagine climbing a ladder, where you start of low, then, go higher up the ladder.)

Thus, answer is 7/18, 10/16, 8/9

Hope this helps!

Find all solutions to 2w^4 - 5w^2 + 2 = 0
asap please

Answers

Answer:

w = ±[tex]\sqrt{1/2}[/tex] or w= ±[tex]\sqrt{2}[/tex]

Step-by-step explanation:

if we say some variable y = w^2, we can rewrite the equation to:

2y^2 - 5y + 2 = 0

this can be factored into (2y-1)(y-2) = 0

putting w^2 back in the place of y, that's (2w^2 - 1)(w^2 - 2) = 0

The equation is a fourth degree polynomial, so there are four roots, or four values of w that will cause the equation to equal 0.

If 0 is multiplied by anything, the result is 0, so we set 2w^2 - 1 = 0 and solve for w, which is ±√1/2, then set w^2 - 2 = 0 to get w = ±√2 as our roots

the four solutions are ±√1/2 and ±√2

(because the positive counts as one solution and the negative another solution)

What is the relation between the variables in the equation
a. varies inversely as y
b.xvaries directly as y
Please select the best answer from the choices provided
O
O
A
B
C
O
y
-7?
c. y varies directly as x¹
d. y varies inversely as ¹

Answers

The relation between the variables in the equation x^4/y=7 is (b) x^4 varies directly as y

How to determine the relation between the variables in the equation?

The complete question is added as an attachment

From the attached figure, we have the following equation

x^4/y = 7

Multiply both sides of the equation by y

x^4 = 7y

The above represents a direct variation from x^4 to y.

Where 7 represents the variation constant

Hence, the relation between the variables in the equation x^4/y=7 is (b) x^4 varies directly as y

Read more about direct variation at:

https://brainly.com/question/12179965

#SPJ1

Given the parent cosine function f(x) = cos x , find the function g(x) after the parent function undergoes a horizontal shift right 7 units, and up 4 units.

Answers

By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.

How to find the resulting function by transformation rules

Transformation rules are rules that makes changes on charateristics and behavior of a function to create a new one. Rigid transformations like horizontal and vertical translations are examples of transformation rules. In this question we must apply the following transformation rules to the parent cosine function f(x) = cos x:

Horizontal translation: f'(x) = f(x - 7)      (1)Vertical translation: g(x) = f'(x) + 4        (2)

Now we proceed to derive the resulting function by applying the rules defined above:

Horizontal translation

f'(x) = cos (x - 7)      (3)

Vertical translation

g(x) = cos (x - 7) + 4     (4)

By applying the transformation rules for horizontal and vertical translation, we find that the resulting function is g(x) = cos (x - 7) + 4.

To learn more on transformation rules: https://brainly.com/question/9201867

#SPJ1

f(x) = 2x – 4

g(x) = 3x + 1

what is is h(x) = f(x)g(x)?

Answers

Answer:

h(x) = 6x² - 10x - 4

Step-by-step explanation:

h(x) = f(x) g(x)

       = (2x - 4)(3x + 1)

each term in the second factor is multiplied by each term in the first factor, that is

2x(3x + 1) - 4(3x + 1) ← distribute parenthesis

= 6x² + 2x - 12x - 4 ← collect like terms

= 6x² - 10x - 4

that is h(x) = 6x² - 10x - 4

Melissa is planning a rectangular vegetable garden with a square patch for tomatoes

Answers

The expressions for the length and the width of the rectangular garden are 3x + 2 feet, and x + 5 feet respectively where x is the length of the square patch for tomatoes.

A square is a quadrilateral with all four sides equal, and all four angles at 90°, whereas a rectangle is a quadrilateral with opposite pair of sides equal, and all four angles at 90°.

In the question, we are informed that Melissa is planning a rectangular vegetable garden with a square patch for tomatoes.

The side of the square is given to be x feet.

We are asked to write expressions for the length and width of the rectangular garden.

For the length of the rectangle:-

We are informed that she wants the length of the garden to exceed three times the length of the tomato patch by 2 feet.

Thus, the length of the garden can be shown as the expression 3x + 2 feet.

For the width of the rectangle:-

We are informed that she also wants the garden's width to exceed the width of the tomato patch by 5 feet.

Thus, the width of the garden can be shown as the expression x + 5 feet.

Thus, the expressions for the length and the width of the rectangular garden are 3x + 2 feet, and x + 5 feet respectively where x is the length of the square patch for tomatoes.

Learn more about writing expressions at

https://brainly.com/question/25956004

#SPJ4

The provided question is incomplete. The complete question is:

"Melissa is planning a rectangular vegetable garden with a square patch for tomatoes. She wants the length of the garden to exceed three times the length of the tomato patch by 2 feet. She also wants the garden's width to exceed the width of the tomato patch by 5 feet.

Let x represent the length, in feet, of the square tomato patch.

Write expressions to represent the length and width of Melissa's vegetable garden in terms of x.

Enter the correct answer in the box."

Can someone help me with the first question please

Answers

Answer:

  (c)  5y -17x +99 = 0

Step-by-step explanation:

The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.

Midpoint

The midpoint of XZ is the average of the coordinates of X and Z.

  M = (X +Z)/2

  M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)

Line through two points

The slope of the median can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

The slope of line YM is ...

  m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

The line with slope 17/5 through point Y(7, 4) is ...

  y -4 = 17/5(x -7)

Subtracting the right side, and multiplying by 5 gives ...

  5(y -4) -17(x -7) = 0

  5y -17x +99 = 0 . . . . equation of the median through Y

22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.
0 0
103"
98
109⁰
110"
18
17
19 20
14
16
13
15
11
10
12
9
63
5
m

Answers

Answer: [tex]110^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle 20=62^{\circ}[/tex] (linear pair)

[tex]m\angle 11=70^{\circ}[/tex] (angle sum in a triangle)

[tex]m\angle 12=110^{\circ}[/tex] (linear pair)

Find the equation of the line that passes through the given points. (1, 4.5) and (3, 6)

Answers

Answer:

y=0.75x+3.75

Step-by-step explanation:

The slope is

[tex] \frac{6 - 4.5}{3 - 1} = \frac{3}{4} [/tex]

Substituting into point-slope form,

y - 6 = 0.75(x - 3)

y - 6 = 0.75x - 2.25

y = 0.75x + 3.75

Help, please. I just need an answer, so if anyone is bored, for the love of god please... ​

Answers

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

[tex]3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}[/tex]

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

For reference, the point-slope form is [tex]y-y_1=m(x-x_1)[/tex]

[tex]y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1[/tex]

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

[tex]-\frac{3}{4}x+y=1[/tex]

If we multiply the whole equation by -4, we can get rid of the fraction.

[tex]-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4[/tex]

Hence, option B is also correct.

Other Questions
what element DOES NOT make up amino acids I need help! ASAPAs shown in the figure below, a || b and c is the transversal, m1= 40, m2= 70.Question: m3= ? What is the first step in the construction of a line perpendicular to and passing through an external point m? assume that the construction uses only a compass and a straightedge. a. place the compass needle on m and, keeping the compass width the same, draw two arcs that intersect . b. place the compass needle at any point on , and set the compass width to m. c. draw a line from point m passing through , and mark the point of intersection. d. place the compass needle at any two points on , and draw two arcs through m. Solve the following equation. Write your answer in reduced fraction form, if necessary. (7x2)(x+6)=0 Please explain if you can Complete the following exercise with the correct form of the verbs in parentheses. hi, i (be).........matt rotell, a friend of alice's. Read this excerpt from "A Retrieved Reformation." On the Monday night after Jimmy wrote this letter, Ben Price jogged unobtrusively into Elmore in a livery buggy. He lounged about town in his quiet way until he found out what he wanted to know. From the drug-store across the street from Spencer's shoe-store he got a good look at Ralph D. Spencer. "Going to marry the banker's daughter are you, Jimmy?" said Ben to himself, softly. "Well, I don't know!" What can the reader predict based on the foreshadowing in the passage above? Ben Price will ruin Jimmys plan to marry Annabel. Jimmy will discover Ben Price has tracked him down. Ben Price will allow Jimmy to go free. Jimmy will use the bankers daughter to rob the bank. You deposit $2000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30 years? use technology to determine an approximate solution to each of the following systems of linear equationsa y=22x-9.5 and y=2.5x+4.1b 8x+y-18=0 and 5x+9y+4=0c 6x + y= 12 and 5x +8y =-100 Unlike southeast asia, afghanistan's rugged terrain and the martial tradition of its tribes kept it free of? Which type of bond is not backed by any specific collateral, such as land or equipment? a) secured bonds b) debenture bonds c) equity bond d) mortgage bonds There are many different ways to ensure search engine optimization. Select the three that are included in the list.a. Use keywords in Flash or JavaScript directed text. b. Use your keywords when writing descriptions of hyperlinks. c. Include as many pictures and videos as possible. d. Ask visitors to bookmark your site.Include a < meta > tag in your header. Include a < meta > tag in your header. whihc of the following is not a step in the development of action plans Faith is tracking the number of burpees she does at a constant rate. Lastweek, she completed 60 burpees in 5 minutes. This week, she completed78 burpees in 6 minutes. How many burpees did Faith do per minute lastweek and this week?Please help me I will mark u the brainliest What were the three major classes of navy vessels during and prior to the 19th century? Please help!Choose the notation that represents the shaded region.A - BB - AC - ABD - AB Which statement below correctly depicts the expected value of a fair game?E(X) = 0E(X) = 1E(X) > 0E(X) >1 Which lines from president reagans address at moscow state university contain an opinion?. In a three-paragraph essay, choose a country in Africa or Asia that was colonized by a European power prior to the 20th century. First, provide a brief history of imperialism in that nation, then describe that nation's movement for independence. Finally, explain the legacies of colonialism left behind in that country during the 20th century. Be sure to include evidence to support your response. In the figure below, the radius of the larger circle is 6,8 and the radius of the smaller circle is 4.5. Which of the following best approximates the area of the shaded region? Note: The figure is not drawn to scale. O 14.45 O 16.62 O 25.99 O 81.65 O 145.27