Carol ran a 100 meter race in 13. 4 seconds. But, it was wrongly
measured as 14.1 seconds. What is the percent error involved in the
measurement?

Answer:

(2x - 3) ^2 - 11x - 6

Step-by-step explanation:

Step-by-step explanation:

100*77+72/4

100*77+18

7700+18

7718

Answer:

Step-by-step explanation:

54 ×100=5400

5400+77=5477

5477÷2 = 2738.5

Answer:

The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0

The explanation of the answer is now provided as follows:

Given:

f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)

[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4

Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:

(e^z /4!)x^4 < 0.0001 ………………………………….. (2)

Multiply both sided of equation (2) by (1), we have:

e^4x^4 < 0.024 ……………………….......……………. (4)

Taking 4th root of both sided of equation (4), we have:

|xe^(z/4) < 0.3936 ……………………..........…………(5)

Dividing both sides of equation (5) by e^(z/4) gives us:

|x| < 0.3936 / e^(z/4) ……………….................…… (6)

In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:

|x| < 0.3936 -----> 0 < x < 0.3936

Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Given:

The two equations are:

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

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

To find:

Whether (-3,-3) is a solution of the given equation or not.

Solution:

Table of values for [tex]y=\dfrac{2}{3}x-5[/tex],

x         y

0        -5

7.5      0

Plot the points (0,-5) and (7.5,0) on a coordinate plane and connect them by a straight line.

Table of values for [tex]y=-2x+3[/tex],

x         y

0        3

1.5      0

Plot the points (0,3) and (1.5,0) on a coordinate plane and connect them by a straight line.

From the below graph, it is clear that the graphs of both lines intersect each other at (3,-3). So, the solution of given equations is (3,-3) instead of (-3,-3).

Therefore, she is incorrect because the correct solution is (3,-3).

Answer: B and D because for the 1st quadrant both x and y need to be positive

Step-by-step explanation:

B. (2,2)

D. (4,8)

The format for 1st quadrant is: (+,+).

Answer:

D

Step-by-step explanation:

The inscribed angle XYZ is half the measure of its intercepted arc XZ , then

arc XZ = 2 × 72° = 144° → D

Answer:

equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O

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

Explanation:

Draw a vertical line up from x = 7 until you reach the diagonal red line. Mark point P at this location. Then from point P, move horizontally until you reach the y axis. You should get to y = 14.

See the diagram below.

The equation of this red line is y = 2x. Whatever the input x is, we double it to get y. So if x = 7, then y = 2x = 2*7 = 14

This means that Joe drinks 14 liters of milk in 7 days. Or you could say his rate is 14 liters per week.

Answer:

The correct answer is 14 liters

Step-by-step explanation:

When you look at the graph you can count the grid squares. In one day Joe drinks 2 liters of milk. So 7 times 2 is 14. That is your answer

Let me know if I did anything wrong. :)

Answer:

$5.5 per mile

40 miles

Step-by-step explanation:

Given :

Fixed cost = $10

Variable cost = $3

For a journey of 4 miles ;

Cost = fixed cost + Variable Cost

Cost = $10 + $3x

x = number of miles

Cost = $10 + $3(4)

Cost = $10 + $12 = $22

Average cost per mile for a journey of 4 miles

Cost / number of miles

$22 / 4 = $5.5 per mile

Minimum distance if average per mile is to be less Than 3.25

$3.25 = (10 + 3x) / x

3.25x = 10 + 3x

3.25x - 3x = 10

0.25x = 10

x = 10 / 0.25

x = 40 miles

Answer:

[tex]x = - 59[/tex]

Step-by-step explanation:

[tex](6x + 28) = (7x + 87)[/tex]

[tex]6x + 28 = 7x + 87[/tex]

[tex]6x - 7x = 87 - 28[/tex]

[tex]1x = - 59[/tex]

[tex]x = - 59[/tex]

Answer: 40353607

Step-by-step explanation:

[tex]7^9\\[/tex] = 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 = 40353607

Answer:

[tex](2 \ sin 60)(3\ cos 60) +3\ tan 30\ =\ \frac{5\sqrt3}{2}[/tex]

Step-by-step explanation:

[tex](2 \ sin 60)(3 \ cos 60) + 3\ tan 30\\\\= (2 \times \frac {\sqrt3}{2}) (3 \times \frac{1}{2})+ (3 \times \frac{1}{\sqrt3})\\\\=(\sqrt{3}\ \times \frac{3}{2})+ \frac{3}{\sqrt3}\\\\=\frac{3\sqrt3}{2}+\frac{3}{\sqrt3}\\\\=(\frac{3\sqrt3}{2} \times \frac{\sqrt3}{\sqrt3})+(\frac{3}{\sqrt3} \times \frac{2}{2})\\\\=\frac{3\times (\sqrt3)^2}{2\sqrt3}\ + \ \frac{6}{2 \sqrt3}\\\\=\frac{3 \times 3}{2 \sqrt3} +\frac{6}{2 \sqrt3}\\\\=\frac{9+6}{2\sqrt3}\\\\=\frac{15}{2\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\\\[/tex]

[tex]=\frac{15 \sqrt3}{2 \times (\sqrt{3})^2}\\\\=\frac{15 \sqrt 3}{2 \times 3}\\\\=\frac{5\sqrt3}{2}[/tex]

Answer:

1096 more water

Step-by-step explanation:

Let;

x = the water used in general

but used 3 times of the original = 3x

3*(548) = 1644 water a day

How much more water =New - original

where:

new = 1644

original= 548

1644 - 548

=1096 more water

Answer:

11.7…?

Step-by-step explanation:

Small triangle and other triangle are similar based on sas theorem (I think) so find scale factor — 2— then do Pythagorean theorem

The value of c is 0.

By question,

17x² = 12x

or,(17x-12):x=0

or,17x - 12 = 0#

For some tips,

HENCE PROVED ##

Answer:

40 and 136

Step-by-step explanation:

The ratio of the 2 numbers = 5 : 17 = 5x : 17x ( x is a multiplier )

One number is 96 more than the other then

17x = 5x + 96 ( subtract 5x from both sides )

12x = 96 ( divide both sides by 12 )

x = 8 , then

5x = 5 × 8 = 40

17x = 17 × 8 = 136

The 2 numbers are 40 and 136

Answer:

y = –|x - 1| + 3

Step-by-step explanation:

The "vertex" is (1 , 3)

y = –|x - 1| + 3

Answer:

3 dimes 1 nickel

Step-by-step explanation:

1 dime = 10 cents

3×1 dime = 30 cents

1 nickel = 5 cents

3 dimes + 1 nickel

= 30 cents + 5 cents

= 35 cents

Hello,

there are 20 combinations making a total of 35 cents

In qb64

Dim p As Integer, n As Integer, d As Integer, s As Integer, nb As Integer

nb = 0

For p = 0 To 35

   For n = 0 To 7

       s = 1 * p + 5 * n

       If s < 36 Then

           For d = 0 To 3

               s = p + 5 * n + d * 10

               If s = 35 Then

                   nb = nb + 1

                   Print nb, p; n; d

               End If

           Next d

       End If

   Next n

Next p

End

Answer:

so both tables are proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

Step-by-step explanation:

/ means divided by

divide y by x

for both tables

in each table

if y divided by x

show the same number

for every row

then its proportional

1. in the green table

y divided by x =

1/5 for each row

2. in the blue table

y divided by x =

2/5 for each row

so both tables are proportional

Answer:

it's increasing.

Step-by-step explanation:

I'm not sure what else write here, it's obvious it's increasing

Answer:

Increasing

Step-by-step explanation:

You can see the line moving up on the graph starting from its origin (0,0) then moving to (1,1) then moving slowly up then finally ending at (12,3).

Answer:

3.7 feet

Step-by-step explanation:

A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618

If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft

= 3.7 (to the nearest tenth)

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

See below

Step-by-step explanation:

Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:

AB^2 - BD^2 = AD^2

We have the values of AB and BD, so we can substitute them and solve for AD:

x^2 - (x/2)^2 = AD^2

x^2 - x^2 / 4 = AD^2

AD^2 = 3x^2 / 4

AD = x√3 / 2

DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:

AD^2 + DE^2 = AE^2

(x√3 / 2)^2 + x^2 = AE^2

3x^2 / 4 + x^2 = AE^2

AE^2 = 7x^2 / 4

AE = x√7 / 2

Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4

Therefore, we can come to the conclusion AE^2 = 7 EC^2

Answer:

[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]

Answer:

0.000081

=8.1x10-⁵

0.0000386

=3.86x10-⁵

see in picture

Answer:

.14

Step-by-step explanation:

A|B (or A given B)= A and B/B

So

Walk to school | senior= (walk to school and senior)/Senior

walk to school and senior= 5

senior= 25+5+5= 35

5/35= .14

From online research, the article is;

As days get shorter and colder in the autumn, chlorophyll molecules break down. Leaves quickly lose their green color. Some leaves begin to look yellow or orange because they still contain pigments called carotenoids. One such pigment, carotene, gives carrots their bright-orange color.

But red is special. This brilliant color appears only because the leaves of some plants, including maples, actually produce new pigments, called anthocyanins.

That’s a strange thing for a plant to do without a reason, says Bill Hoch of the University of Wisconsin in Madison. Why? Because it takes a lot of energy to make anthocyanins.

Why red?

To figure out the purpose of the red pigment, Hoch and his coworkers bred mutant plants that can’t make anthocyanins and compared them with plants that do make anthocyanins. They found that plants that can make red pigments continue to absorb nutrients from their leaves long after the mutant plants have stopped.

This study and others suggest that anthocyanins work like a sunscreen. When chlorophyll breaks down, a plant’s leaves become vulnerable to the sun’s harsh rays. By turning red, plants protect themselves from sun damage. They can continue to take nutrients out of their dying leaves. These reserves help the plants stay healthy through the winter.

The more anthocyanins a plant produces, the redder its leaves become. This explains why colors vary from year to year, and even from tree to tree. Stressful conditions, such as drought and disease, often make a season redder.

Now, Hoch is breeding plants for a new set of experiments. He wants to find out whether turning red helps plants survive cold weather.

“There’s a clear correlation between environments that get colder in the fall and the amount of red produced,” he says. “Red maples turn bright red in Wisconsin. In Florida, they don’t turn nearly as bright.”

More protection

Elsewhere, scientists are looking at anthocyanins in other ways. A recent study in Greece, for instance, found that as leaves grow redder, insects eat them less. On the basis of this observation, some scientists argue that red pigments defend a plant against bugs.

Leaves may turn red in the autumn to protect themselves from the sun’s ultraviolet rays.

J. Miller

Hoch rejects that theory, but Lee thinks that it might make sense. He points out that red leaves contain less nitrogen than green ones do. “It may actually be that insects avoid red leaves because they’re less nutritious,” Lee says.

However, “it’s pretty confusing at this point,” Lee admits. “People debate back and forth.”

To settle the debate, scientists will need to look at more species under more conditions, Lee says. So, he’s now researching leafy plants rather than trees. He’s especially interested in tropical plants, whose leaves turn red when they’re young rather than old.

Answer:

As seen in the Explanation, different people have given reasons why bright red leaves in the fall help protect the trees in the winter. Thus, there is sufficient evidence to conclude that bright red leaves in the fall help protect the trees in the winter.

Step-by-step explanation:

From the article, we can see that Hoch and his coworkers carried out an experiment on mutants and they discovered that plants that can make red pigments tend to continue absorbing nutrients from their leaves a long time after the mutant plants have stopped.

This study and other believe that plants make anthocyanins which acts as a kind of sunscreen to the plants. They also discovered that by the plants turning red, they protect themselves from sun damage

Also, we see that some scientists in Greece found out that as leaves grow redder, insects eat them less and they argued that red pigments defend a plant against bugs and as such Leaves may turn red in the autumn to protect themselves from the sun’s ultraviolet rays.

My Answer: One study said that anthocyanins are pigments that make leaves turn red. And some trees don’t absorb as many nutrients as trees with red leaves. That particular study focused on trees that don’t produce anthocyanins. So i believe there's some evidence, but not a definitive conclusion.

Edmentum Answer: There’s some evidence, but not a definitive conclusion. One study focused on trees that don’t produce anthocyanins. Anthocyanins are pigments that make leaves turn red. The study said that these trees don’t absorb as many nutrients as trees with red leaves.

Another study found that insects are generally not inclined to eat red leaves on trees. There seems to be a trend that suggests that red leaves are important for the trees’ survival in the fall. This trend needs to be validated by conducting more tests.

Step-by-step explanation:

Paraphrased

Answer:

c

Step-by-step explanation:

Answer:

She can buy from 0 to 20 bags, but no more.

Answer:

b <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²-4=0

(x+2)(x-2)=0

x=-2,2

solution is x∈{-2,2}

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (-2-6)/(1-0)

m = -8/1

m = -8

The slope is -8

We can think of it like saying "go down 8 and move to the right 1 unit", since -8 = -8/1.

Put another way: slope = rise/run = -8/1

rise = -8 and run = 1.

Answer:

-8

it's easy just use the equation y2-y1 ÷ x2-x1