Preston needs to write an equation in slope-
intercept form to represent the relationship between x
and y in the table below. What will be the value of the
y-intercept in his equation? Record your answer on
the grid.
HELPS A GIRL OUT PLSSS

Preston Needs To Write An Equation In Slope-intercept Form To Represent The Relationship Between Xand

Answers

Answer 1

The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively.

How to determine a linear function in slope-intercept form

By analytical geometry we know that linear functions can be constructed by know the location of two distinct points on a Cartesian plane and the slope-intercept form is described below:

y - y₁ = m · (x - x₁)     (1)

Where:

x - Independent variabley - Dependent variablex₁, y₁ - Coordinates of the know point.m - Slope

According the table, the slope of the function is 1.5, as there a change in y of 3 for a change in x of 2. Lastly, we determine the line equation in slope-intercept form: m = 1.5, x₁ = 8, y₁ = 0

y = 1.5 · (x - 8)

And the y-intercept is found for x = 0:

y = 1.5 · (0 - 8)

y = -12

The line equation in its slope-intercept form is y = 1.5 · (x - 8), the slope and the y-intercept of linear function are 1.5 (according to the information of the table) and -12, respectively. [tex]\blacksquare[/tex]

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Related Questions

Which weights are within 2 standard deviations of the mean? select three options. 8.4 lbs 8.9 lbs 9.5 lbs 10.4 lbs 10.9 lbs

Answers

The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

How to determine the weights?

The given parameters are:

Mean, μ = 9.5Standard deviation, σ = 0.5

The weights within 2 standard deviation is represented as:

μ - 2σ ≤ x ≤ μ + 2σ

Substitute known values

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

Evaluate the product

9.5 - 1 ≤ x ≤ 9.5 + 1

Evaluate the sum

8.5 ≤ x ≤ 10.5

This means that the weights are between 8.5 and 10.5 (inclusive)

Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

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Answer:

B C D

Step-by-step explanation:

I got it right on the quiz. :)

I have multiple please just h e l p

Answers

Answer:

Refer to image below :

The surface area of a rectangular prism is 1220 cm^2.

What is a rectangular prism?

A rectangular prism is a 3-d solid shape that has 6 rectangular faces in which all the pairs of opposite faces are congruent. It has 8 vertices, 6 faces, and 12 edges.

For the given situation,

A rectangular prism has dimensions,

Length = 17 cm

Breadth = 14 cm

Height = 12 cm

The formula to find the surface area is A= ( lb + bh +lh)

⇒ [tex]A=2[(17)( 14) + (14)( 12) + (17)( 12)][/tex]

⇒ [tex]A=2(238+168+204)[/tex]

⇒ [tex]A=2(610)[/tex]

⇒ [tex]A=1220 cm^{2}[/tex]

Hence we can conclude that the surface area of a rectangular prism is 1220 cm^2.

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What is the volume of the prism

Answers

Answer:

The volume is 627 meters cubed

Step-by-step explanation:

First we find the area of the base with this formula:

(11*6)/2

Next you would multiply the area of the base by the height:

33*19

✅Now your final answer should be 627!

What is the vertex of g(x) = –3x2 18x 2? (3, –25) (–3, –25) (3, 29) (–3, 29)

Answers

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.

Help please!!!!!!!!!

Answers

Answer:

5 right/left , 3 up/down

Step-by-step explanation:

Looking at the Graph count the rise/run of a point.

please answer please ​

Answers

Answer:

(7,2)

Step-by-step explanation:

we know (7,2) is the answers based on the evidence given in the example before

Denise is going to shop with the $250.00 that she earned from doing chores. She wants to save 20% of her money to put into a savings account. She buys a pair of jeans for $75.00 and a new leather coat for $110.00, with 5% sales tax on both items. Does Denise still have the amount of money she planned to put into her savings account?

Answers

Answer:

Yes

Step-by-step explanation:

Money to put into Savings Account

20% of $250.00 = 0.2 × $250.00

                            = $50.00

Cost of Jeans with sales tax

$75.00 + 5% = 105% of $75.00

                      = 1.05 × $75.00

                      = $78.75

Cost of Coat with sale tax

$110.00 + 5% = 105% of $110.00

                      = 1.05 × $110.00

                      = $115.50

Total money spent

= $78.75 + $115.50

= $194.25

Money left

= $250.00 - $194.25

= $55.75

$55.75 > $50.00

As the money left is more than 20% of $250.00 she does still have the money she planned to put into her savings account.

You design a logo for a marking company. As part of the proposal, you submit a scale drawing of the logo.

The scale drawing is a parallelogram with a base of 8 inches, a height of 3 inches, and a side length of 4 inches.

The scale drawing has a scale factor of 4 : 1. What is the perimeter, actual inches, of the actual logo?

Answers

The perimeter of the actual logo in inches whose base is 8 inches, height is 3 inches, and side length is 4 inches be,

Perimeter= 6 inches

What is scale factor?

A scale factor is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

The scale drawing of parallelogram having dimensions,

length= 8 inches,height= 3 inchesside length= 3 inches

Perimeter of scale drawing of parallelogram be,

= 2 ( length + side length)

= 2( 8 + 4 )

= 2 x 12

= 24 inches

The drawing has a scale of 4: 1 (Here 4 represent for scale diagram and 1 represent for the actual diagram)

As scale factor,=  [tex]\frac{Perimeter \;of\; Scale\; logo}{Perimeter \;of \;Actual\; logo}[/tex]

[tex]\frac{4}{1} = \frac{24}{Perimeter\; of \; Actual\; logo}[/tex]

Perimeter of Actual logo =[tex]\frac{24}{4}[/tex]

                                         = 6 inches

Hence, the perimeter of Actual logo is 6 inches.

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(In a class 20% were girls. If the number of girls were 60, how many boys were there?)​

Answers

Step-by-step explanation:

100-20=80%

80%=4/5

4/5×60/1=48

48 boys but let me know if its wrong!

A circle has a diameter of a little more than 1/2 mile. If you walk at 2 mph how long will it take to walk around the circle

Answers

Answer:

6mph

Step-by-step explanation:

Asher has 3 times as many book as Camilla. How many books does Camilla have if Asher has x books?

Answers

Answer: X/3

Step-by-step explanation:

Asher = 3 Camilla

If Asher is X, then X is 3C and C= X/3

Tim uses a food delivery service to order dinner for himself and a friend. He paid $37.05 for dinner, which included the cost of the food and a delivery fee of 14% of the cost of the food. What was the cost of their dinner before the delivery fee?
Please explain!

Answers

Answer:

$31.86

Step-by-step explanation:

You can use a proportion here.

37.05 = 100%

x = 86% (100%-14% which is a delivery fee)

x = (37.05*86)/100

x = 3186.3/100

x = 31.86

The cost of their dinner before the delivery fee was $31.86.

I hope that I helped :)

Date:

Your Assignment: Coffee Shop Prices

Choosing a Model

You are helping your boss, the owner of a coffee shop, set prices. She has gathered some data by

counting the number of cups sold per day at various prices. Your job is to see if there is a relationship

between price and sales for one of the two most popular drinks.

Coffee sales:

Price: 1. 50 2. 20 2. 70 2. 50 2. 90 2. 00 1. 60 2. 10 3. 00 1. 80

Sales:

96

79

70

73

64

85

94

83

63

91

Tea sales:

Price: 2. 40 1. 50 1. 10 1. 60 2. 50 1. 30 1. 00 1. 70 2. 20 2. 00

Sales:

64

85

94

83

63

91

96

79

70

73

1. Which drink did you select? Circle one.

Answers

The regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0

How to determine the regression equations of the drinks?

The dataset of coffee is given as:

Price: 1.50 2.20 2.70 2.50 2.90 2.00 1.60 2.10 3.00 1.80

Sales: 96 79 70 73 64 85 94 83 63 91

Using a graphing calculator, we have the following calculation summary:

Sum of X = 22.3Sum of Y = 798Mean X = 2.23Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*2.23) = 130.3

The regression equation is represented as:

ŷ = bx + a

So, we have:

ŷ = -22.7x + 130.3

The dataset of tea is given as:

Price: 2.40 1.50 1.10 1.60 2.50 1.30 1.00 1.70 2.20 2.00

Sales: 64 85 94 83 63 91 96 79 70 73

Using a graphing calculator, we have the following calculation summary:

Sum of X = 17.3Sum of Y = 798Mean X = 1.73Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*1.73) = 119.0

The regression equation is represented as:

ŷ = bx + a

So, we have:

ŷ = -22.7x + 119.0

Hence, the regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0

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i need help 9th-grade math

Answers

Symmetrical

If you drew a line through the middle of the graph the data would be similar on both sides so it’s symmetrical

An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet
write the standard equation.

Answers

Answer:

x^2/6400 + y^2/900

Step-by-step explanation:

Just did the question on odyssey

The standard equation of a semi-ellipse, with its major axis would be; x^2/6400 + y^2/900

What is the equation of the ellipse?

The standard equation of the ellipse centered at the origin behind the shape of the arch is presented below:

[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1[/tex]....... (1)

Where x is Horizontal distance, in feet.

y is Vertical distance, in feet.

a is Horizontal semiaxis length (half-width), in feet.

b is Vertical semiaxis length (height), in feet.

We are given that arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet.

a = 80

b = 30

Then the equation becomes as;

x^2/6400 + y^2/900

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Help please I need it

Answers

Answer: -35.375 or -283/8

Step-by-step explanation:

Begin with the parenthese: (-1.5+9.5)=8 and (7+11)

Then you have 5/8+0.4(18)/-0.2.

Multiply 0.4 times that 18 and you get 7.2.

Then you have 5/8+7.2/-0.2

Simplify 7.2/-0.2 which equals -36

Then you have 5/8+-36

5/8+-36=-35.375 or in fraction form -283/8

Pls help will give brainlist

What symbol goes between the fractions in the comparison?


3
6
?
1
4

=

<

>

Answers

If you are saying 3/6 vs 1/4, then it will be

3/6>1/4

Answer:

>

Step-by-step explanation:

3/6 and 1/4

3/6 = 1/2

1/2 = 2/4

2/4 > 1/4

Pleeease help me. I need help with this one.

Answers

Answer:

Ravi and Courtney

Step-by-step explanation:

Simplifying the equations

Penny

2x - y = -1y = 2x + 1

Ravi

2x + 3y = 33y = -2x + 3y = -2/3x + 3

Courtney

-4x - 6y = -66y = -4x + 6y = -2/3x + 3

Edwin

6x + 6y = 96y = -6x + 9y = -x + 9

Ravi and Courtney would have infinitely many solutions because they are the same equation.

Answer:

Ravi and Courtney have the same equation so they will have infinetely many solutions.

Step-by-step explanation:

Step 1:  Solve each equation for y

Penny → [tex]2x - y = 1[/tex]

           → [tex]-y + 2x - 2x = 1 - 2x[/tex]

           → [tex](-y) * -1 = (1 - 2x) * -1[/tex]

           → [tex]y = 2x - 1[/tex]

Ravi → [tex]2x + 3y = 3[/tex]

       → [tex]3y + 2x - 2x = 3 - 2x[/tex]

       → [tex](3y)/3 = (3 - 2x)/3[/tex]

       → [tex]y = -2/3x + 1[/tex]

Courtney → [tex]-4x - 6y = -6[/tex]

                → [tex]-6y - 4x + 4x = -6 + 4x[/tex]

                → [tex](-6y)/-6 = (-6 + 4x)/-6[/tex]

                → [tex]y = -2/3x + 1[/tex]

Edwin → [tex]6x + 6y = 9[/tex]

           → [tex]6y + 6x - 6x = 9 - 6x[/tex]

           → [tex](6y)/6 = (9 - 6x)/6[/tex]

           → [tex]y = -x + 1.5[/tex]

Answer: Ravi and Courtney have the same equation so they will have infinetely many solutions.

Please help with this question.

Answers

Answer:

I think A is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

A. Perpendicular Bisector Theorem :)

If a point is the perpendicular bisector of a segment, it splits the segment equally in half, meaning that the endpoints are equidistant from the bisector!

A shape is rotated counterclockwise 110 degrees about the origin. What is another way to describe the rotation?

Answers

At max a rotation can be equal to π or 180°

So if it's rotated 110° counterclockwise then it's equal to rotation of supplementary angle clockwise

Supplementary angle=180-110=70°

70° rotation clockwise

When a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.

What are supplementary angles?

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

A shape is rotated counterclockwise 110 degrees about the origin which is given in the question

A rotation can have a maximum of 180 degrees.

So a rotation of 110 degrees counterclockwise equals a rotation of supplementary angle clockwise.

According to the property of supplementary angle,

⇒ 180° - 110°

⇒ 70°

Thus, when a shape is rotated counterclockwise 110 degrees about the origin, the rotation is described as 70 degrees clockwise.

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I need help!! Rectangle WXYZ will be transformed so that W' is located at (-3, -1) and Z' is located at (2, -1). Which algebraic representation shows the transformation that occurred?

Answers

Transforming the rectangle WXYZ involves changing the location of the rectangle

The algebraic representation of the transformation is (x, y) → (x, -y)

How to determine the algebraic representation?

From the complete question, we have the coordinates of points W and Z to be:

W = (-3,1)

Z = (2,1)

And the new points are:

W = (-3,-1)

Z = (2,-1)

Notice that the x-coordinates remain the same, while the y-coordinates are negated.

This is represented as:

(x, y) → (x, -y)

Hence, the algebraic representation of the transformation is (x, y) → (x, -y)

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the "P" in 20p9 represents a:
A. Permutation
B. the number of items in the set
C. the number of objects selected from the set

Answers

Answer:

option (A) —Permutation.

Step-by-step explanation:

this is because permutation comes in this form and looks like that and I have learnt permutation in the past.

so yeah;

examples of permutations:

²⁰p9 ( 20 upper case, 9 lower case and p in-between)

we can solve it by

Formula: n!/(n-r)!

soooo

20!/(20-9)!

= 20!/(11)!

=20x19x18x17x16x15x14x13x12x11!/11!

we cancel out the 11!s (for easier solving)

and multiply or cancel out the remaining ( if you can't cancel out yet just multiply)

we get,

6.09493248 x 10¹⁰

~ 6 x 10¹⁰

there you go.( I know I did a little bit too much)

Hope this helps

Good luck.

Based on an LG smartphone survey, assume that 51% of adults with smartphones use
them in theaters. In a separate survey of 250 adults with smartphones, it is found that
109 use them in theaters.

Answers

Using the z-distribution, it is found that the sample is enough evidence that the proportion is below 51%.

What are the hypotheses tested?

At the null hypotheses, it is tested if the proportion is of 51%, that is:

[tex]H_0: p = 0.51[/tex]

At the alternative hypotheses, it is tested if the proportion is less than 51%, hence:

[tex]H_1: p < 0.51[/tex].

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

In this problem, the parameters are given as follows:

[tex]p = 0.51, n = 250, \overline{p} = \frac{109}{250} = 0.436[/tex]

Hence, the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.436 - 0.51}{\sqrt{\frac{0.51(0.49)}{250}}}[/tex]

z = -2.34.

What is the decision?

Considering a left-tailed test, as we are testing if the proportion is less than a value, with a standard significance level of 0.05, the critical value is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left tailed test, we reject the null hypothesis, and find that the sample is enough evidence that the proportion is below 51%.

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For a typical human height of 2 meter what is the horizon distance on earth (r=6378) (b mars R=3,340

Answers

The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The complete question is:

" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "

Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.

Consider the diagram attached below:

The distance D is the distance of horizon from the eyesight of viewer.

The value of h is the height of the observer.

For the triangle ABC, the length of the hypotenuse is: h + R

Other two sides which are mutually perpendicular are of length R and D.

Thus, by using Pythagoras theorem, we get:

[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]

(positive root as D is representing length, a non-negative quantity).

We're given h = 2, so we get:

[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]

A) Earth (R=6378 km);

6378 km = 6378000 m

[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]

B) Mars ( 3,374 km);

3374 km = 3374000 m

[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]

C) The Moon ( 1,738 km);

1738 km = 1738000 m

[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]

D)Mars' moon Diemos ( 6 km)

6 km = 6000 m

[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]

Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

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When a business makes Money than it spends it makes a profit

Answers

Answer:

Profit means your business is making more money than it spends to stay in business so yes.

Your Grandmas vanilla ice cream recipe uses 3 cups of heavy cream and 1 cup of milk.

Answers

Answer:

nice

Step-by-step explanation:

very cool - crispin

what is the volume of a cylinder if the height is 9.5 and the length across is 19.3

Answers

Answer:

111

Step-by-step explanation

I took the quiz

Answer:

11117.01255

Step-by-step explanation:

V=πr^2h=π·19.3^2·9.5≈11117.01255

Can someone help?
Please?​

Answers

Answer:

36

Step-by-step explanation:

FRIEND ME AM SMART

Answer:

Area = 35

Step-by-step explanation:

Area = base * height

A=b*h=7*5=35

percent.
7) A new social media site is increasing its
user base by a constant percentage per
month. If the user base grows from
29,130 users to 52,167 users over 10
months, at what monthly rate is the user base increasing?

Answers

Answer:

5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000

Step-by-step explanation:

solve the following equation
5-4sin²x + 4cosx =0​

Answers

Answer:

use gauth math it really helps you

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Slove for m 7m=3+4mA.m=3/11B.m=-7C.m=-5/4D.m=1 Laura has 7 more thantriple the number ofpens Ann has. If Annhas rpens,write anexpression for howmany pens Laura has. Rapid removal of a neurotransmitter is necessary to maintain precise control of neural transmission. Which transmitter is largely removed by the reuptake process and taken back into the neuron in an unchanged form and reused Choose the answer that is written grammatically correct. Use the distributive property to find the missing term in the equivalent expression. (A) 6 (81313) = 48 + (B) -5 (32525) = -2(C) 9 (25959) = 18 + (D) 12 (-11414) = -3 Fill in the missing transitional words. For example, In addition, HoweverOn the other hand, For example, This meansFor instance, In another example, For the most partThis means, One example, In conclusion Please help me, I have to fill in the blanks and I am not so smart Wi-Fi, Inc., reported a net income of $50,000 for the current year. The beginning and ending balances for Retained Earnings for the year are $100,000 and $130,000 respectively. How much did Wi-Fi pay as dividends for the year 54. Find [tex]y^{\prime}[/tex] if [tex]x^y=y^x\text{.}[/tex] Which word best completes this sentence?Mi hermana de 5 aos tiene dolor de cabeza. Maana tiene cita en el hospital en el servicio de _____________.A. cirugaB. ginecologaC. pediatraD. cardiologa Who is thought to be the greatest orator of the British Postmodern period?Tony BlairWinston ChurchillFranklin D. RooseveltMargaret Thatcher Which is true? Question 2 options: All the roses in the garden are dead Dickon thinks someone else has been in the garden Dickon buys the wrong tools for Mary What can you catch, but not throw? Custom-built mini-programs that can execute a complicated series of commands in a tool like microsoft word or excel are called. When Victoria moved into a new house, she planted two trees in her backyard. At thetime of planting, Tree A was 32 inches tall and Tree B was 12 inches tall. Each yearthereafter, Tree A grew by 2 inches per year and Tree B grew by 6 inches per year. LetA represent the height of Tree At years after being planted and let B represent theheight of Tree Bt years after being planted. Graph each function and determine theinterval of time, t, when Tree A is taller than Tree B.Click twice to plot each line. Click a line to delete it. If your target audience is only your teacher, which of the following technologies would be the best way to share your presentation?-Your email-Your class website-Your blog how do you value eucharist as christ presence? Which feature of a shark is an adaptation for being a predator?A. Sensitive sense of smell.B. Stream lined body.C. Fins.D. Gills. Can I have help on this? Every time Carrie bakes a batch of brownies, she uses 18 cup of chocolate. If she has 12 cup(s) of chocolate remaining, how many batches of brownies can Carrie make?