Which is a root of [tex]f(x)=0[/tex] with a multiplicity of 2?

Answer:

[tex]3\frac{13}{20}=3.65[/tex] kg.

Step-by-step explanation:        

Let S be amount of strawberries picked in the afternoon.

We have been given that Sheldon harvest the strawberries and tomatoes in his garden. He picks 1 2/5 kg less strawberries in the morning than in the afternoon and the strawberries picked in morning are [tex]2\frac{1}{4}[/tex] kg.

To find the amount of strawberries picked by Sheldon in the afternoon we will add [tex]2\frac{1}{4}[/tex] and [tex]1\frac{2}{5}[/tex]  :

[tex]S= 2\frac{1}{4}+1\frac{2}{5}[/tex]      

Upon converting our given mixed fractions into improper fraction we will get,

[tex]S= \frac{9}{4}+\frac{7}{5}[/tex]

Now let us have a common denominator.

[tex]S=\frac{9*5}{4*5}+\frac{7*4}{5*4}[/tex]

[tex]S=\frac{45}{20}+\frac{28}{20}[/tex]

[tex]S=\frac{45+28}{20}[/tex]

[tex]S=\frac{73}{20}[/tex]  

[tex]S=3\frac{13}{20}[/tex]  

[tex]S=3.65[/tex]

Therefore, Sheldon picked [tex]3\frac{13}{20}=3.65[/tex] kg of strawberries in the afternoon.  

Sheldon picks approximately 0.85 kg of strawberries in the afternoon.

To find out how many kilograms of strawberries Sheldon picks in the afternoon, we need to subtract 1 2/5 kg from the total he picks in the morning.

Given that Sheldon picks 2 1/4 kg of strawberries in the morning, we can subtract 1 2/5 kg from it:

2 1/4 kg - 1 2/5 kg = 9/4 kg - 7/5 kg = 45/20 kg - 28/20 kg = 17/20 kg.

Therefore, Sheldon picks 17/20 kg or approximately 0.85 kg of strawberries in the afternoon.

The equation that represents the area of the doghouse base is 21 = x * (x + 4), where x is the width and x + 4 is the length.

Jason is building a doghouse with a rectangular base, where the area is known to be 21 square feet. If the width is x feet and given the length is 4 feet longer than the width, the length can be represented as x+4. As such, we can create an equation representing the area of the rectangular base as:

Area = Width * Length

By substituting the given values, we get the equation:

21 = x * (x + 4).

This algebraic equation can guide the solution to find the possible values of x, that is, the width of the doghouse.

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To determine the possible dimensions of the base of the doghouse, use the equation x^2 + 4x - 21 = 0.

To find the possible dimensions of the base of the doghouse, we can use the given information that the area of the base is 21 square feet and the length is 4 feet more than its width.

We can represent the width as x. So, the length would be x + 4.

The equation for the area of the rectangle is length x width.

Substituting the values, we get x(x + 4) = 21.

Simplifying the equation, we can rewrite it as x^2 + 4x - 21 = 0.

This equation can be used to determine the possible dimensions of the base of the doghouse.

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Answer:

4

Step-by-step explanation:

due to the fact that this shape is a rhombus the point of intersection between two diagonals is perpendicular to each other.

Then notice that the sections are right triangles and x is the hypotenuse

using Pythagorean theorem

A*2+B*2=C*2

3*2+5*2=x*2

9+25=x*2

34=x*2

x=√34

2 pounds is equal to 908 grams (rounded to the nearest whole gram).

Started by converting 2 pounds to kilograms using the conversion factor 1 pound = 0.454 kilograms.

So, 2 pounds * 0.454 kilograms/pound = 0.908 kilograms.

Then, I converted 0.908 kilograms to grams using the conversion factor 1 kilogram = 1000 grams.

So, 0.908 kilograms * 1000 grams/kilogram = 908 grams.

Finally, I rounded 908 grams to the nearest whole gram, which is 908 grams.

Therefore, 2 pounds is equal to 908 grams (rounded to the nearest whole gram).

Question

1 pound = 0.454 kg 1 kg = 1000 g Using the conversions given, convert 2 pounds to grams (round to the nearest whole gram).

Answer:

the domain is X so

Step-by-step explanation:

(-3,0,4,1) is the answer

Answer:

B C E

Step-by-step explanation:

Just did it on edg

The incenter of a triangle is the center of the triangle

The true statements are:

From the diagram (see attachment), we have the following observations.

The lines from points X, Y and Z to point A are perpendicular to lines DX, DY and EF.

This mean that, point A is the center of a circle that passes through points X, Y and Z.

Hence, (b) is true

Also it means  that:

[tex]\mathbf{AX \cong AY \cong AZ}[/tex] --- the radius of the circle.

Hence, (c) and (e) are true.

So, the true statements are: (b), (c) and (e)

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Answer:

c is the correct answer i believe

Step-by-step explanation:

Because a triangle must have two equal sides

Final answer:

The sets of measurements that could be the side lengths of a triangle are c (9 cm, 4 cm, 4 cm) and d (7 cm, 10 cm, 8 cm), as they both satisfy the Triangle Inequality Theorem.

Explanation:

The question asks which set of measurements could be the side lengths of a triangle. To determine if three lengths can form a triangle, we can use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. Let's analyze each option:

Therefore, options c (9 cm, 4 cm, 4 cm) and d (7 cm, 10 cm, 8 cm) could be the side lengths of a triangle.

Answer:

21

Step-by-step explanation:

Since Lilly has read 7/8 of her book (aka 147 pages), divide 147 by 7 and you get 21.

This means 1/8=21

Since she has read 7/8 of the book, and the full book is 8/8, 8/8-7/8= 1/8

Meaning she has 1/8 of the book left to read.

As said before, 1/8 =21

Thus, she has 21 pages left to read.

Answer:

18 years after 1996 which is 2014

Step-by-step explanation:

Town M had a population of 30,500 people. It grows by 2%. That means the next year will be 30,500+0.02(30,500)=31,110. The next year will be 31,110+0.02(31110)=31732.2 and so forth.

Town N had 32,500 and grows by 600 each year. That means the next year will be 32,500+600=33,100. The next year will be 33,100+600=33,700 and so forth.

Year      Town M       Town N

1            31,110            33,100

2           31,732.2       33,700

3           32366.8       34, 300

4           33014.2        34,900

5           33674.5       35,500

6           34348          36,100

7           35035          36,700

We can see the populations are getting closer but not very fast. Let's try higher numbers.

Year 20 gives 45,321 and 44,500.  We are close. Let's try year 18. We get 43,561.5 and 43,300.

Choice A is the answer which is the point (1,-1)

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

How I got this answer:

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

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

checking choice A

plug in (x,y) = (1,-1)

[tex]y - 2x \le -3[/tex]

[tex]-1 - 2(1) \le -3[/tex]

[tex]-3 \le -3[/tex]

This is true because -3 is equal to itself. So this is the answer.

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checking choice B

plug in (x,y) = (2,4)

[tex]y - 2x \le -3[/tex]

[tex]4 - 2(2) \le -3[/tex]

[tex]0 \le -3[/tex]

This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.

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

checking choice C

plug in (x,y) = (-2,3)

[tex]y - 2x \le -3[/tex]

[tex]3 - 2(-2) \le -3[/tex]

[tex]7 \le -3[/tex]

This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

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

checking choice D

plug in (x,y) = (3,4)

[tex]y - 2x \le -3[/tex]

[tex]4 - 2(3) \le -3[/tex]

[tex]-2 \le -3[/tex]

This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.

Answer:

[tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Each term in the sequence is half of the previous term, thus multiply the previous term by 1/2 to obtain the next term in the sequence

1 × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

200 words are peter can be type in 5 minutes.

Step-by-step explanation:

As given

If peter can type 80 words in 2 minutes .

i.e

80 words = 2 minutes

Now words type in 1 minutes.

[tex]1\ minutes = \frac{80}{2}\ words[/tex]

1 minutes = 40 words

Now calculate number of words are type in 5 minutes.

Words are type in 5 minutes = Number of minutes × Number of words are type in 1 minutes.

Number of minutes = 5 minutes

Number of words are type in 1 minutes = 40 words

Words are type in 5 minutes = 5 × 40

                                                = 200 words

Therefore  200 words are peter can be type in 5 minutes.

Answer:

$3.50

Step-by-step explanation:

Let x be the cost of per gallon gas.

We have been given that it costs Raquel 5$ in tolls to drive to work and back each day, plus she uses 3 gallons of gas. It costs her a total of 15.50$ to drive to work and back each day.

We can represent this information as:

[tex]3x+5=15.50[/tex]

[tex]3x+5-5=15.50-5[/tex]  

[tex]3x=10.50[/tex]    

[tex]x=\frac{10.50}{3}[/tex]

[tex]x=3.50[/tex]  

Therefore, Raquel is paying $3.50 for per gallon gas.

Answer:

Quantity of wheat in 2015 is 19.8(1.098)(1.051) tons

Step-by-step explanation:

We are given

A farm grew 19.8 tons of wheat in 2013

In 2013:

quantity of wheat =19.8 tons

In 2014:

The farms's wheat output increased by 9.8% from 2013 to 2014

So, quantity of wheat becomes

[tex]=19.8(1+0.098)[/tex]

[tex]=19.8(1.098)[/tex]

In 2015:

The farms's wheat output increased  by 5.1 from 2014 to 2015

so, it is increased by 5.1 % of 2014 quantity

so, we get

quantity of wheat in 2015 is

[tex]=19.8(1.098)(1+0.051)[/tex]

[tex]=19.8(1.098)(1.051)[/tex]

You can calculate how much 9.8% of 19.8 ton is and then add that to 19.8 and add 5.1 more to know the weight of wheat in tons produced in 2015.

The total output of wheat in tons, in 2015 is 26.84 tons.

In 2014, there was increase of 9.8% wheat production than last year(2013).

Thus,

Production in 2014 = Production in 2013 + 9.8% of production in 2013

9.8% of production in 2013 = [tex]19.8 \times \dfrac{9.8}{100} = 1.9404[/tex]

Production in 2014 = 19.8 + 1.94 = 21.74

Production in 2015 = Production in 2014  + 5.1 tons= 21.74 + 5.1 = 26.84 tons

Thus, the total output of wheat in tons, in 2015 is 26.84 tons.

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Answer:

Anya rode at 8.5 miles per hour.

Step-by-step explanation:

We have been given that Taylor and Anya live 63 miles apart. One day they left their houses at 8 am and met at 11 am riding toward each other. Taylor rode at 12.5 miles per hour.

We can see that Taylor and Anya met after 3 hours as 11-8=3. This means that both rode their cycles for 3 hours.

Let us find distance covered by Taylor.

[tex]\text{Distance}=\text{Speed*Time}[/tex]

[tex]\text{Distance covered by Taylor}=12.5\frac{\text{Miles}}{\text{hour}}*3\text{ hours}}[/tex]

[tex]\text{Distance covered by Taylor}=12.5*3\text{ Miles}[/tex]

[tex]\text{Distance covered by Taylor}=37.5\text{ Miles}[/tex]

Therefore, Taylor covered 37.5 miles in 3 hours.

Let us find distance covered by Anya in 3 hours by subtracting distance covered by Taylor from total distance of 63 miles.

[tex]\text{Distance covered by Anya in 3 hours}=(63-37.5)\text{ Miles}[/tex]

[tex]\text{Distance covered by Anya in 3 hours}=25.5\text{ Miles}[/tex]

Now let us find speed at which Anya rode bike.

[tex]\text{Speed}=\frac{\text{Distance}}{\text{Time}}[/tex]

[tex]\text{Speed at which Anya rode the bike}=\frac{25.5\text{ Miles}}{3\text{ Hour}}[/tex]

[tex]\text{Speed at which Anya rode the bike}=8.5\frac{\text{ Miles}}{\text{ Hour}}[/tex]

Therefore, Anya rode the bike at the speed of 8.5 miles per hour.

Answer:

7

Step-by-step explanation:

The remainder from division by (x+1) is the value of f(-1). That remainder is the number at the lower right of the synthetic division tableau, 7.

Answer:

f(-1) is 7

Step-by-step explanation:

When using synthetic division, the value of the function is the final value of the division.

f(-1) is 7

Answer:

Option C is correct.

288 degree measure could he have rotated the pentagon so that is mapped onto itself

Step-by-step explanation:

Given:  Patrik rotated the pentagon about its center.

A Rotational symmetry of a regular polygon is based on the number of vertices it has.

If the Pentagon figure is rotated [tex]360^{\circ}[/tex] about its center, each vertex lands exactly on the top of where it started.

Since you have 5 vertices, so your starting vertex can land in 5 different starting places and still come up with the same figure.

So if you take [tex]\frac{360}{5} = 72^{\circ}[/tex] rotations to each consecutive vertex.

⇒a rotation of 72 degree, 144 degree, 216 degree, 288 degree and 360 degree will result in the same figure.

Therefore, 288 degree measure could he have rotated the pentagon so that is mapped onto itself.

Answer: Yes option C

Step-by-step explanation:

Answer: 3 1/4 tons = 6500 tons

Step-by-step explanation:

3 tons is 6000 since 3 * 2000 = 6000

1/4 would be 25% of 2000 which would be 500

because if you take 500 four times it will be 2000

So here you go bud.

3 1/4 tons in pounds.

if 2000 pounds are 1 ton multiply 2000 to 3 tons.

You get 6000.

Then you move on to 1/4.

2000 divided by 4 is 500.

500 is your 1/4.

So 6500 is your answer.

Hope this helped!

Answer:y =0.07272727273 x + 2.587272727

Step-by-step explanation:

Equation of regression line is: y=ax +b

Where, [tex]b=\frac{\sum y\sum x^2-\sum x\sum xy}{n\sum x^2-(\sum x)^2}[/tex]

[tex]a=\frac{n(\sum xy)-\sum x\sum y}{n(\sum x^2)-(\sumx)^2}[/tex]

Here [tex]n =11,\sum y=32.46,\sum x^2=385,\sum x=55,\sum xy=170.3,(\sum x)^2=3025[/tex]

On substituting the values in the formula above for a and b we get:

[tex]b=\frac{32.46\cdot 385-55\cdot 170.3}{11(385)-3025}[/tex]

On simplification we get: [tex]b=2.587[/tex]

[tex]a=\frac{11(170.3)-55\cdot 32.46}{11(385)-3025}[/tex]

On simplification we get: [tex]a=0.0727[/tex]

Answer:

Whole numbers are 1 and 2

Step-by-step explanation:

Given that a number 5 and we use the square root of 5.

We are to find two whole numbers that falls between square root of 5.

We know that whole numbers are 0,1,2.....

We know that square root of 5 is irrational approximately equal to 2.236.

Consider square root of 5.

Since square root of any number always has two solutions the solutions are

-[tex]\sqrt{5}[/tex] and [tex]\sqrt{5}[/tex]

We have to find two whole numbers lying between these values.

We see that  0, 1,2 are the whole numbers lying between these two values.

Let us select any two of them from these two.

Say 1,2

Then answer is 1,2.

Answer: B

Step-by-step explanation:

4ˣ = 1024

1024 = 4ˣ

log⁴1024 = x

The compound interest for 5 year is $3868.7.

Interest accrued on both the principal sum of money and the interest already earned.

The formula for compound interest is p(1+r/100)ⁿ - p

Where p is principal amount, r is rate and n is time.

Given that,

Principal = $20000,

Time = 5 years,

And rate of interest = 18/5 %

To find compound interest, use formula,

Compound interest =  p(1+r/100)ⁿ - p

Compound interest = 20000(1+18/(5×100))⁵-20000

Compound interest = 23868.7 - 20000

                                 = 3868.7

The compound interest for 5 years is $3868.7.

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Answer:

Approximately 11.99 years

Step-by-step explanation:

This is just a type of problem like finding how long it will take for you to get somewhere.  Like in finding how fast you need to go to go to a place that is 60 miles in one hour.  All you have to do is divide the distance of the star by the speed of light, and you get the amount of time it will take for the star's light to reach the Earth.

The time taken by the light to travel from a star to Earth is required.

It would take 12 years for the light to reach Earth.

Distance of star from Earth = [tex]1.135\times 10^{14}\ \text{km}[/tex]

Speed of light from star = [tex]9.4607\times 10^{12}\ \text{km/year}[/tex]

Time is given by

[tex]t=\dfrac{\text{Distance}}{\text{Speed}}\\\Rightarrow t=\dfrac{1.135\times 10^{14}}{9.4607\times 10^{12}}\\\Rightarrow t=11.996\approx 12\ \text{years}[/tex]

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Answer: C (0.391)

I'm pretty sure that's right.

Answer:

0.391

Step-by-step explanation:

Gradpoint

Answer:

the answer is D

Step-by-step explanation:

As per linear equation, since 8.8 rounds to 9 and 2.7 rounds to 3, so division rounds to 3. His answer of 4.14 rounds to 4. So, it is not reasonable.

A linear equation is an equation that contains one or multiple variable with the highest power of the variable is one.

Given expression is:

8.8 ÷ 2.7

≈ 9 ÷ 3

= 3

His answer is 4.14 ≈ 4.

Therefore, this is not a reasonable answer.

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Answer:

a) 4x + 20

b) y

c) 7x + 22

Step-by-step explanation:

Assuming these were originally 3 questions? Simply pack together the numbers and the numbers with letters.

Answer: 144x2y+11x+16

that is the correct answer.   144x2y+11x+16

Answer:

SSS congruency

Step-by-step explanation:

Here’s an easy way to remember it. S stands for side so it is side side side congruency.

I believe the answer is C because it is the only answer that proves helpfulness to the survival of a mole

Answer:

Which of the following situations describes a helpful adaptation for a mole?

Question 2 options:

A mole is blind and cannot see underground.

 A mole is bright and attracts the attention of predator birds.

A mole has a sensitive sense of smell to help it find food underground.

Step-by-step explanation:

Despite their very poor eyes, moles can hunt worms and insects thanks to their keen sense of smell and capturing vibrations of their prey with their whiskers.

The answer is: A mole has a sensitive sense of smell to help him find food underground.

Answer:

24% chance

Step-by-step explanation:

First, find the total number of graduates in the table, that number is 2610, that will be your numerator.

You will look at the table for the total number of students, that is 10730, that will be the denominator.

Now divide the smaller number/numerator (2610) by the larger number/denominator (10730)

[tex]\frac{2610}{10730}[/tex] = 0.2432432...

Then, multiply by 100 to get the percentage: 24.32432...%

Now, round to the nearest percentage: 24%

Answer:

Angle 3 is 49 degrees

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

Explanation:

Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.

Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel

We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees

Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)