PLEASE SHOW ALL WORK
The function s(t) = t2+2t+5shows the height s(t), in feet, of a water balloon after t seconds. A second water balloon moves in the air along a path represented by p(t)=11+3t where p(t) is the height, in feet, of the balloon from the ground at time t seconds.
Part A: Create a table using integers 1 through 4 for the two functions. What is the solution for s(t) = p(t)? How do you know? Include the table in your answer.

Part B: Explain what the solution from Part A means in context of the problem.

Answers

Answer 1

Answer:

t = 2,3

Step-by-step explanation:

s (t) = t^2 + 2 t + 5

p (t) = 11 + 3 t

A:

s (1) = 8

s (2) = 13

s (3) = 20

s (4) = 29

Now

[tex]t^2 + 2 t + 5 = 11 t + 3t \\\\t^2 - t - 6 = 0\\\\t^2 - 3 t - 2 t - 6 = 0 \\\\(t-2)(t-3)=0\\\\t = 2, 3[/tex]

(b) The values are same at t =2 an t =3.  


Related Questions

Solve the following with steps
5/10 * -4/12 - 1/3 - 4/12 * 2/10

Answers

Answer:

Step-by-step explanation:

[tex]\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}[/tex]

Which of the following is a characteristic of a regular tessellation?​

Answers

Answer: Choice A

Explanation:

For regular tessellations, the types of polygons that we can use are

squares or rectanglesequilateral trianglesregular hexagons

We can only pick one of those shapes.

Shapes like regular octagons or pentagons will not work on their own because there is gap or overlap if we tried to glue them together. Think of tiles on the floor. There cannot be any gap or overlap when forming a tessellation.

If you wanted to use octagons to tessellate the plane, then you'd need squares to fill in the gaps. At this point, it's not considered a regular tessellation.

Express each of the following quadratic functions in the form of f(x) = a (x - h)²+ k.Then,state the minimum or maximum value,axis of symmetry and minimum or maximum point. (a) f(x) = -2x² + 7x + 4.
Pls help me! I'll mark u as the brainliest​

Answers

Given:

The function is:

[tex]f(x)=-2x^2+7x+4[/tex]

To find:

Express the quadratic equation in the form of [tex]f(x)=a(x-h)^2+k[/tex], then state the minimum or maximum value,axis of symmetry and minimum or maximum point.

Solution:

The vertex form of a quadratic function is:

[tex]f(x)=a(x-h)^2+k[/tex]              ...(i)

Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.

We have,

[tex]f(x)=-2x^2+7x+4[/tex]

It can be written as:

[tex]f(x)=-2\left(x^2-3.5x\right)+4[/tex]

Adding and subtracting square of half of coefficient of x inside the parenthesis, we get

[tex]f(x)=-2\left(x^2-3.5x+(\dfrac{3.5}{2})^2-(\dfrac{3.5}{2})^2\right)+4[/tex]

[tex]f(x)=-2\left(x^2-3.5x+(1.75)^2\right)-2\left(-(1.75)^2\right)+4[/tex]

[tex]f(x)=-2\left(x-1.75\right)^2+2(3.0625)+4[/tex]

[tex]f(x)=-2\left(x-1.75\right)^2+6.125+4[/tex]

[tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]a=-2,h=1.75,k=10.125[/tex]

Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.

Maximum value = 10.125

Axis of symmetry : [tex]x=1.75[/tex]

Maximum point = (1.75,10.125)

Therefore, the vertex form of the given function is [tex]f(x)=-2\left(x-1.75\right)^2+10.125[/tex], the maximum value is 10.125, the axis of symmetry is [tex]x=1.75[/tex] and the maximum point is (1.75,10.125).

Someone help me pls

47 as the sum of ______

Answers

9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

f(x) = x5 – 9x3 Choose all of the zeroes of f(x)

Answers

Answer:

[tex]x^{3} (x^{2} -9)[/tex]

[tex]x^{3} (x+3)(x-3)[/tex]

zeros at : 0,3,-3

Step-by-step explanation:

Laura bought some movie tickets. The graph represents
the
proportional relationship between the cost and the number of movie
tickets. Find the cost of seven tickets

Answers

Answer:

it must be 85 (approx.)

Step-by-step explanation:

if John and Eric bought a large pizza that has 10 slices John and Eric it all the pizza if John ate 1/5 slice how many did Eric eat​

Answers

Eric ate 8 slices and was really really full

find the positive sqaure roots up to 3 decimals
i) 1+(0.046)2​

Answers

Step-by-step explanation:

1+0.092= 1.0922) 1+0.042= 1.042

Answer:

1+0.092= 1.0922) 1+0.042= 1.042

Step-by-step explanation:

it is the explanation 1+0.092= 1.0922) 1+0.042= 1.042

WORTH 25 POINTS!!!!!! PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....


B) (3x+.....)^2=....*x^2+.....+49y^2

Answers

Answer:

(3x + 7y)^2 =  9 x^2 + 42xy + 49y^2

Step-by-step explanation:

What is the probality of rolling a 6-sided die on a getting a 1 or a prime number?

Answers

Answer:

1/12

Step-by-step explanation:

Chances of getting a 1 are 1/6 and chances of getting a prime number excluding 1 is 3/6. 3/6 x 1/6= 3/36 or 1/12 chance.

5) On each birthday Rosa gets as many roses as she is old in years. She still has all the dried flowers and there are now 120 of them. How old is she? A) 10 B) 12 C) 14 D) 15 E) 20

Answers

Answer:

D) 15

Step-by-step explanation:

This is an arithmatic progression.

The formula for the sum of arithmatic progression is

[tex]s = \frac{n}{2} (2a + (n - 1)d)[/tex]

where d is the common difference between successive terms and a is the first term. By applying this formula,

[tex]120 = \frac{n}{2} (2(1) + (n - 1)(1)) \\ 120 = \frac{n}{2} (1 + n) \\ n(1 + n) = 240 \\ n {}^{2} + n - 240 = 0 \\ (n - 15)(n + 16) = 0 \\ n = 15 \: or \: n = - 16(reject)[/tex]

Write an inequality to represent the graph.

Answers

Answer:

C

Step-by-step explanation:

One packet of biscuits requires 2 15/16 and 1 7/8 cups of sugar. Estimated total quantity of both ingredients used in 10 such packets of biscuits will be?

Answers

Answer:

Hey Mate! Here's your answer.

Step-by-step explanation:

One packet of biscuits requires 2½ cups of flour = \frac{5}{2}25

One packet of biscuits requires 1 \times \frac{2}{3}1×32

One packet of biscuits requires 1 \times \frac{2}{3}1×32cups of sugar. = \frac{5}{3}35

Total ingradiants for one packet of biscuits =

Total ingradiants for one packet of biscuits =( \frac{5}{2} + \frac{5}{3} ) = \frac{15 + 10}{6} = \frac{25}{6}(25+35)=615+10=625

Then, total quantity of both ingredients used in 10 such packets of biscuits =

Then, total quantity of both ingredients used in 10 such packets of biscuits =10 \times ( \frac{25}{6} ) = 5 \times ( \frac{25}{3} ) = \frac{125}{3} = 41 \times \frac{2}{3}10×(625)=5×(325)=3125=41×32

Hope it helped you!

PLEASE HELP!!!


Solve for x in the following equation!!!

[tex]sin(\frac{3\pi }{2}+x) + sin(\frac{3\pi }{2}+x)=-2[/tex]

Answers

Answer:

Step-by-step explanation:

First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into

[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get

[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:

[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:

(-1cosx + 0sinx) = -1 which simplifies to

-1cosx = -1 so

cosx = 1 and

x = 0 or 2π, depending upon what your interval is.

which lines are perpendicular ?

Answers

Answer:

Lines  C and D

Step-by-step explanation:

For a pair of lines to be perpendicular ,

    the product of their slope must be - 1 .

Slope of A:

[tex]2x - 3y = 6\\\\-3y = -2x + 6\\\\y = \frac{-2x}{-3} + \frac{6}{-3}\\\\[/tex]

[tex]y = \frac{2}{3}x - 2\\\\slope_A = \frac{2}{3}[/tex]

Slope of B:

[tex]3x - 2y = - 9\\\\-2y = - 3x - 9\\\\y = \frac{-3x}{-2} - \frac{9}{-2}\\\\y =\frac{3x}{2} + \frac{9}{2}\\\\slope_B = \frac{3}{2}[/tex]

Slope of C:

[tex]y = - \frac{3}{2}x - 5 \\\\slope_C = -\frac{3}{2}[/tex]

Slope of D:

[tex]y = \frac{2}{3}x + 2\\\\slope_D = \frac{2}{3}[/tex]

Product of the slopes = - 1

[tex]slope_A \times slope_B = \frac{2}{3} \times \frac{3}{2} = 1 \neq - 1 \\\\Therefore, not\ perpendicular.\\\\Slope_B \times slope_C = \frac{3}{2} \times \frac{-3}{2} = \frac{-9}{4} \neq -1\\\\Therefore , not \ perpendiucalr.\\\\Slope_C \times slope_D = -\frac{3}{2} \times \frac{2}{3} = - 1\\\\Therefore , perpendicular\\\\\\Slope_A \times slope_D = \frac{2}{3} \times \frac{2}{3} = \frac{4}{9} \neq 1\\\\therefore , not \ perpendicular.[/tex]

Daisy is trying to find the equation
of a linear function. Based on the
graph, she can tell the line goes
through (2, 20) and (3, 28). What is
the y-intercept?

Answers

The y-intercept is (0,12), or just 12, hope this helps

Answer:

Your answer is (0,4)

Step-by-step explanation:

In 2004 there were 7,000000 people living alone in great Britain this is four time as many as in 1961, Calculate how many people lived alone in 1961. Express your answer in standard form

Answers

Answer:

1.75 × 10⁶

Step-by-step explanation:

7,000,000 ÷ 4 = 1750000

Which is 1.75 × 10⁶ in standard form

Draw the following regular polygons inscribed in a circle:

square

pentagon

hexagon

octagon

decagon

For each polygon, include the following information in the paragraph box below:

What was the central angle you used to locate the vertices? Show your calculation.

What is the measure of each interior angle of the polygon? Show your calculation.

Answer the questions below.

What is the relationship between the central angle and the interior angle?


As the number of sides increases, how do the angles change?

Answers

Answer:

Step-by-step explanation:

Firstly we draw the circle marking its center point.

Then we choose an arbitrary point anywhere on the circumference of the circle.

Then we draw a line connecting the point and the center of the circle.

Now, we mark the next vertex of polygon on the circumference of the circle by measuring an angle with respect to the first line drawn from the center of the circle.

The measurement of the angle is based upon no. of vertices (=no. of side) of the polygon. We divide the full round angle 360° with the no. of vertices and obtain the angle between the each consecutive vertices from the center of the circle since the polygons are regular.

Polygons with the no. of vertices is as follows:

square -- 4

pentagon -- 5

hexagon -- 6

octagon -- 8

decagon -- 10

For decagon the central angle between each consecutive vertex:

[tex]\angle_{10}=\frac{360}{10}[/tex]

[tex]\angle_{10}=36^o[/tex]

For octagon the central angle between each consecutive vertex:

[tex]\angle_{8}=\frac{360}{8}[/tex]

[tex]\angle_{8}=45^o[/tex]

For hexagon the central angle between each consecutive vertex:

[tex]\angle_{6}=\frac{360}{6}[/tex]

[tex]\angle_{6}=60^o[/tex]

For pentagon the central angle between each consecutive vertex:

[tex]\angle_{5}=\frac{360}{5}[/tex]

[tex]\angle_{5}=72^o[/tex]

For square the central angle between each consecutive vertex:

[tex]\angle_{4}=\frac{360}{4}[/tex]

[tex]\angle_{4}=90^o[/tex]

The internal angle of a regular polygon is calculated as:

[tex]\angle=180-\frac{360}{n}[/tex]              where, n = number of sides (=vertices)

for example, in case of hexagon interior angle is:

[tex]\angle=180-\frac{360}{6}[/tex]

[tex]\angle=180-60[/tex]

[tex]\angle=60^o[/tex]

As the no. of sides increase the interior angles widen up and their values increase, which the central angle between the consecutive vertices decrease.

Answer:

The other person is definitely getting Brainlest thank you so much for your answer. YOU ARE A LIFE SAVER. :D XD.

Please give him/her Branliest ;D

The Marked price, inclusive of GST, of a notebook computer is $1679.90.it is sold at a discount of 10%.
a) find its marked price before GST
b)Find the GST before discount.
c)What is the selling price of the computer
d) find the GST after the discount
e)what is the percentage decrease in the GST

Answers

Answer:i don’t know

Step-by-step explanation:i don’t know

Do anyone know this






Make sure is the correct answer please


Answers

9514 1404 393

Answer:

  (a)  P = 44 cm + 18 cm + 18 cm = 80 cm

  (b)  396 cm²

  (c)  (i) see attached: radius = 7 cm; height ≈ 16.58 cm; slant height = 18 cm

  (c)  (ii) 7 cm

Step-by-step explanation:

(a) The length of arc PQR is given by the formula ...

  s = rθ . . . . . where r is the radius and θ is the angle in radians

The angle θ in radians is (140°)(π/180°) = (140)(22/7)/(180) = 22/9

So, the arc length is ...

  PQR = (18 cm)(22/9) = 44 cm

Then the perimeter of the figure is ...

  P = PQR +RO +OP = 44 cm + 18 cm + 18 cm

  P = 80 cm

__

(b) The area of a sector is given by ...

  A = 1/2r²θ = 1/2(rs)

  A = (1/2)(18 cm)(44 cm) = 396 cm² . . . area of the sector

__

(c) (i) A drawing of the cone is attached. The "slant height" is 18 cm. The radius is found in part (ii) as 7 cm. The height is given by the Pythagorean theorem:

  height = √((slant height)² - radius²) = √(18² -7²) = √275

  height ≈ 16.58 . . . cm

(ii) The length of arc PQR is the circumference of the base of the cone, given by ...

  C = 2πr . . . . where r is the radius of the base of the cone

Filling in the known values, we find ...

  44 cm = 2(22/7)r

  (44 cm)(7/44) = r = 7 cm . . . . . multiply by 7/44 to find r

The radius of the base of the cone is 7 cm.

what is the slope of the line perpendicular to the line through the points (-1,6) and (3,-4)

Answers

Answer:

The slope of the perpendicular line is 2/5.

Step-by-step explanation:

We want to find the slope of the line that is perpendicular to the line that passes through the points (-1, 6) and (3, -4).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

Find the slope of the original line:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-4)-(6)}{(3)-(-1)}=\frac{-10}{4}=-\frac{5}{2}[/tex]

The slope of the perpendicular line will be its negative reciprocal.

Thus, the slope of the perpendicular line is 2/5.

Answer:

The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

Step-by-step explanation:

We have to find the slope of the line perpendicular to the line through the points (-1,6) and (3,-4).

using the formula;-

m = (y²-y¹) / (x²-x¹)

Where,

m = slope ( y² - y¹) = ( -4 -6 )( x² - x¹) = ( 3 - 1)

plug the value and simplify.

m = ( (-4 ) - 6)/(3 - (- 1)

m = - 10 / 4

m = - 5/2

Hence, The slope of the line perpendicular to the line through the points (-1,6) and (3,-4) is -5/2.

Six pounds of grapefruit costs $3.00. 5 pounds of apples costs 2.65.

What is the cost per pound for each fruit?

Answers

Answer:

1 grapefruit cost $0.50 and 1 apple cost $0.53

Step-by-step explanation:

To find the unit cost of 1 fruit, divide the cost by the amount of fruit.

Grapefruit = 3.00 ÷ 6 = $0.50

Apple = 2.65 ÷ 5 = $0.53

What is 10{,}000+2{,}000+50+510,000+2,000+50+510, comma, 000, plus, 2, comma, 000, plus, 50, plus, 5 in standard form?

Answers

Answer:

1.2055 × 10⁴

Step-by-step explanation:

10,000 + 2,000 + 50 + 5

= 12,055

Writing 12,055 in standard form

The first digit in standard form should be between 1 and 10

Therefore, the first digit in 12,055 is 1 then point other numbers

As in 1.2055

There are 4 digits after the decimal point.

So we have 10⁴

12,055 = 1.2055 × 10⁴

Check:

1.2055 × 10⁴

= 1.2055 × 10,000

= 12,055

Someone help?????????????

Answers

Answer:

D

Step-by-step explanation:

f(x)=x²+3x+5

put x=a+h

f(a+h)=(a+h)²+3(a+h)+5

=a²+2ah+h²+3a+3h+5

Miguel can use all or part of his $25 gift card to make a music purchase.Each song costs $1.50, and there is a $1.00 per account activation fee

Answers

Answer:

1.5m + 1 ≤ 25

Step-by-step explanation:

Given:

Total amount of gift card Miguel have = $25

Cost of each song = $1.50

Account activation fee = $1

Find:

Inequality

Computation:

Assume;

Number of song Miguel have = m

So,

Total amount of gift card Miguel have ≥ (Cost of each song)(Number of song Miguel have) + Account activation fee

1.5m + 1 ≤ 25

Please help! will mark right answer with Brianly

Answers

Answer:

a. [tex]\frac{4\pi }{3}[/tex]

b. 240

Step-by-step explanation:

all you have to do to find a coterminal angle is to add or subtract 360 or [tex]2\pi[/tex] from the angle, so:

a. [tex]\frac{10\pi }{3} -2\pi =\frac{4\pi }{3}[/tex]

b. -120 + 360 = 240

Consider the line 4x + 8y = -4.
a) What is the slope of a line perpendicular to this line?

b) What is the slope of a line parallel to this line?

Answers

a) -2

a slope of a line perpendicular is it’s opposite and reciprocal.

Therefore you want to find the slope. You can do this by writing it in intercept form, or just knowing A/B since it’s in standard form.

slope form: y= mx + b

8y = -4 -4x

y = -1/2x -1/2

So the slope is -1/2 so it’s opposite and reciprocal would be 2. So a slope of a line perpendicular is -2.

b) -1/2

A line parallel would have the same slope as your equation. Since you know the slope -1/2 you know whatever your b value is, that line would be parallel as long as it has the same slope.

HELP PLS!!

Find the value of x and the value of y.
A. x = 16, y = 9√2
B. X= 7, y = 16√2
C. x = 6√2, y=7√2
D. X= 7√3, y = 16

Answers

Answer:

A

Step-by-step explanation:

Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs

So

x = 9 + 7 = 16

y = √2 * 9^2 = 9√2

Answer:

A

Step-by-step explanation:

Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.

Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = 9[tex]\sqrt{2}[/tex]

Using the tan ratio in the right triangle and the value tan45° = 1 , then

tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{9}{adj}[/tex] = 1

adj = 9

Then

x = 9 + 7 = 16

Find the value of c
1.)[tex](4)^{3c}*(4)^{5c}=4/16[/tex]

Answers

[tex]\displaystyle\ \boxed{a^m\cdot a^n=a^{m+n}}\\\\4^{3c} \cdot 4^{5c}=\frac{4}{16} \\\\4^{3c+5c}=4^{-1}\\\\8c=-1\\\\c=-\frac{1}8}[/tex]

I NEED HELP FAST!!!!!
(05.03 MC) John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks: Which equation best models the relationship between x and y?
A. y= -5x+25
B. y= -25x+125
C. y= -25x+175
D. y= -5x+125

Answers

Answer:

think it is D

Step-by-step explanation:

look at the X axis and the number at the Y axis

The equation best models the relationship between x and y is y=-5x+125.

We have given that,

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.

We have to determine the equation best models the relationship between x and y.

What is the equation best models the relationship?

The three main ways to represent a relationship in math are using a table, a graph, or an equation.

The X-axis and the number at the Y-axis.

Therefore, The equation best models the relationship between x and y is y=-5x+125.

To learn more about the graph visits:

https://brainly.com/question/4025726

#SPJ2

Other Questions
HELP PLEASE. Will give maximum points (100). Im desperate. Will give brainiest for the correct answer, if wrong answer is given on purpose, I will report. Plz help. research about Jesus Christ Using the number line below, draw a box and whisker plot for the following data: 12,18,18,20,22,22,25,26,30,30,32,32,35,35,38,49,42 WILL GIVE MOST BRAINIESTWhich of the following functions best describes this graph?A. y (x + 4) (x + 5) Your friend want to make a copy of your new game you bought the previous day . Why should you prevent him from doing that? 1. Suppose half of all newborns are girls and half are boys. Hospital A, a large city hospital, records an average of 50 births a day. Hospital B, a small, rural hospital, records an average of 10 births a day. On a particular day, which hospital is less likely to record 80% or more female births? You want to send postcards to 15 friends. In the shop there are only 3 kinds of postcards. In how many ways can you send the postcards, if A bond that pays interest semiannually has a price of $941.35 and a semiannual coupon payment of $26.00. If the par value is $1,000, what is the current yield Two identical cylinders with a movable piston contain 0.7 mol of helium gas at a temperature of 300 K. The temperature of the gas in the first cylinder is increased to 412 K at constant volume by doing work W1 and transferring energy Q1 by heat. The temperature of the gas in the second cylinder is increased to 412 K at constant pressure by doing work W2 while transferring energy Q2 by heat.Required:Find Eint, 1, Q1, and W1 for the process at constant volume. What is the value of the expression below (-64)^2/3 P(x) is a polynomial. here are a few values of p(x).P(-5) = - 2 P(-3) = 6P(3) = 7 P(5) = -1 What is the remainder when P(x) is divided by (x+5)?What is the remainder when P(x) is divided by (x-3)? Lee has difficulty seeing the board when he sits at the back of the class. The doctor tells him that he is short-sighted and requires spectacles (glasses).Explain what meant by short-sightedness and how spectacles are used to correct this problem.it gon be obvious if you copy from g00 gle By the time Martin Luther King Jr. was assassinated, he hadbeen a civil rights leader for more than ten years.decided to run in the next presidential election.led the Democratic Party for more than ten years.decided to lead a demonstration supporting the war. What is the main purpose of paragraph 5? What salt will be produced by the neutralization reaction between hydrochloric acid (HCI) andthe base calcium hydroxide (Ca(OH)2)? Which part of the salt produced will be the conjugatebase of the acid, and which will be the conjugate acid of the base? Write the balancedequation.Please help due todayyyy!?! What is the quotient of 23 and 56? The fibrous protein that gives skin its flexibility and helps skin regain its shape after being expanded is: HelpFind the volume of this cone.Use 3 for TT. In his address, Roosevelt decried the Supreme Court's majority for "readinginto the Constitution words and implications which are not there, and whichwere never intended to be there." He also argued directly that the Bill wasneeded to overcome the Supreme Court's opposition to the New Deal,stating that the nation had reached a point where it "must take action tosave the Constitution from the Court, and the Court from itself."Based on your own knowledge, this passage best describes the debatesurrounding what issue? Your mass is 80 kg on Earth. What would your MASSbe on Planet Roethler, which has twice as muchgravity as on Earth?40 kg160 kg80 kg