i need help with this question i don’t understand it

Steps to solve:

f(x) = (x + 1)^2; x = 2

~Substitute

f(2) = (2 + 1)^2

~Add.

f(2) = (3)^2

~Multiply the exponent

f(2) = 9

Best of Luck!

Wait bro you already got it

Answer:

10

Step-by-step explanation:

[tex]\triangle CDE \sim \triangle GDF.. (given) \\\\

\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\

\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}[/tex]

If triangle CDE ~ GDF , then length of ED is 10 unit.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion

In Triangles CDE and GDF,  sides CD and DG , sides ED and DF are corresponding sides.

So, these corresponding sides will be in proportion.

               [tex]\frac{CD}{DG}=\frac{ED}{DF}\\\\\frac{15}{x+3}=\frac{3x+1}{4}\\\\(3x+1)*(x+3)=60\\\\3x^{2} +10x-57=0\\\\3x^{2} +19x-9x-57=0\\\\x(3x+19) -3(3x+19)=0\\\\(x-3)(3x+19)=0\\\\x=3,x=-19/3[/tex]

Since, side can not be negative. Therefore, x= 3

         [tex]ED=3x+1=3(3)+1=10 unit.\\[/tex]

Thus,  length of ED is 10 unit.

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Answer:

There is a cluster from 3 to 4.

There is a gap between 1 and 3.

There is a peak at 4.

The data is skewed left.

Step-by-step explanation:

Edg

The correct statements are as follows:-

Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.

The right statements for the dot plots are as follows:-

More about the scatter plot link is given below.

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Answer:

8 to the 4th power

Step-by-step explanation:

Answer:

8 to the 4th power (but with the 4 to the top right of the 8)

Step-by-step explanation:

each 8 is one power

8x8x8x8

1  2  3  4

Answer:

The answer will be

$56,000

Step-by-step explanation:

40 times 28 times 50

Answer:

the first Data set represent alinear function with linear slope

Answer:

a

Step-by-step explanation:

Answer:

1.041

Step-by-step explanation:

In order to increase by 4.1%, you must multiply whatever number you have by the decimal: 1.041.

Say the number we want to increase by 4.1% is x. Then:

x + (4.1%) * x = x(1 + 4.1%) = x(1 + 0.041) = 1.041x

So, you would multiply by 1.041.

Hope this helps!

Answer:

1.041

Step-by-step explanation:

Increase of 4.1% is basically

100 + 4.1 = 104.1% of the previous value

In decimals,

1.041

Answer:

f = 5/6

Step-by-step explanation:

5(4f + 3) - 2f

= 20f + 15 - 2f

= 18f + 15

18f = 15

f = 15/18

f = 5/6

Answer:

  112°

Step-by-step explanation:

The law of cosines can be used to find angle C from the three side lengths. The usual formulation of that law is ...

  c^2 = a^2 + b^2 -2ab·cos(C)

Then the angle C can be found to be ...

  C = arccos((a^2 +b^2 -c^2)/(2ab))

For the given side lengths,

  C = arccos((40^2 +56^2 -80^2)/(2·40·56)) = arccos(-1664/4480)

  C ≈ 112°

Answer:

i know the answer

Step-by-step explanation:

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.

Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.

Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.

Final answer:

To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.

Explanation:

To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.

Answer:

$412/3 purses = $137.33/purse

Answer:

The common difference of the sequence is -7

Step-by-step explanation:

Because each time the the numbers are going down by minus 7

The common difference of this sequence is, - 7

And, One formula for the sequence is,

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (10) = - 3

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 60, 53, 46, 39, 32, 25, ...

Now, The common difference of this sequence is,

⇒ 53 - 60

⇒ - 7

And, One formula for the sequence is,

⇒ a (n) = a + (n - 1) d

⇒ a (n) = 60 + (n - 1) (- 7)

⇒ a (n) = 60 - 7n + 7

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (n) = 67 - 7n

⇒ a (10) = 67 - 7 x 10

⇒ a (10) = 67 - 70

⇒ a (10) = - 3

Thus, The common difference of this sequence is, - 7

And, One formula for the sequence is,

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (10) = - 3

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Answer:

x=19

Step-by-step explanation:

The total angle in a straight line is 180 degrees.

To work this out you would first add 7 and 4 to -2, this gives you 9. Then you would minus 9 from 180, which gives you 171. This is because you are removing the extra numbers and so all you are left with is the x's. Then you would add 5x and x and 3x, which gives you 9x. Then you would divide 171 by 9, which gives you 19.

1) Add 7 and 4 and -2.

[tex]7+4+(-2)=9[/tex]

2) Minus 9 from 180.

[tex]180-9=171[/tex]

3) Add 5x and x and 3x.

[tex]5x+x+3x=9x[/tex]

4) Divide 171 by 9.

[tex]171/9=19[/tex]

5) [tex]x=19[/tex]

The sum of all the angles is 180 degrees because this is a supplementary angle.

5x + 4 + x - 2 + 3x + 7 = 180

Now you can combine like terms:

(5x + x + 3x) + (4 - 2 + 7) = 180

9x + 9 = 180

Now you must isolate x:

9x + 9 - 9 = 180 - 9

9x + 0 = 171

9x = 171

9x/9 = 171/9

x = 19

Check:

5(19) + 4 + 19 - 2 + 3(19) + 7

95 + 4 + 19 - 2 + 57 + 7

180

Hope this helped! Let me know if you have any further questions

~Just a girl in love with Shawn Mendes

Answer:

I've already answered this question in another post:

full

[tex]\frac{\theta}{2\pi }[/tex]

[tex]A=\frac{\theta}{2}r^2[/tex]

The options are missing, so i have attached it.

Answer:

Measurement unit for F = (Nutrients • Moisture)/Pollutants.

Option C is correct

Step-by-step explanation:

From the question, we are given the formula; F = NM/P

where;

N is the amount of nutrients in the soil

M is the amount of moisture in the soil.

P is the amount of pollutants in the soil

From the definition of the terms above, the units of the can be expressed as;

N = nutrients

M = moisture

P = pollutants

Thus, the measurement unit for fertility is;

F = NM/P = (Nutrients • Moisture)/Pollutants

Answer:

The number of guppies were in the shop in the beginning = 60

Step-by-step explanation:

guppies ⇒ x , angelfish ⇒ y , goldfish ⇒ z

guppies to angelfish = 2 : 3 ⇒ x : y = 2 : 3 ⇒ x = 2/3 y

The number of angelfish was 2/3 the number of goldfish ⇒ y = 2/3 z

Or z = 3/2 y

The shopkeeper decided to replace 1/4 of the guppies with some angelfish. The number of angelfish she added was equal to the number of guppies she replaced

so, the number of guppies = 0.75x

and the number of angelfish = y + 0.25 x = y + 0.25 * 2/3 y

There were 30 more goldfish than angelfish in the end

z - (y + 0.25 * 2/3 y) = 30

so, 3/2 y - (y + 0.25 * 2/3 y) = 30

3/2 y - y - 1/6 y = 30

1/3 y = 30

y = 90

x = 2/3 y =2/3 * 90 = 60

z = 3/2 * 90 = 135

so, the number of guppies were in the shop in the beginning = 60

Final answer:

By setting up variables for the number of guppies (G) and angelfish (A) and establishing equations based on the given ratios, we can determine that the shop initially had 40 guppies.

Explanation:

To determine how many guppies were in the shop originally, let's set up variables for the number of guppies (G) and angelfish (A). According to the information provided, the ratio of guppies to angelfish is 2:3, which can be represented by the equation G/A = 2/3. The number of angelfish was also 2/3 the number of goldfish (F), meaning A = (2/3)F. When 1/4 of the guppies are replaced with angelfish, the number of guppies becomes 3/4G, and the number of angelfish becomes A + 1/4G. In the end, we are told there are 30 more goldfish than angelfish. Therefore, we have F = A + 30.

From A = (2/3)F and F = A + 30, we can substitute (2/3)F for A in the second equation, yielding F = (2/3)F + 30. Solving this equation for F gives us F = 90. Using the earlier equation A = (2/3)F, we find A = 60. Now, since A was 2/3 the number of goldfish originally, and using G/A = 2/3, we solve for G by setting up the equation G/60 = 2/3, leading to G = 40. Hence, there were 40 guppies in the shop initially.

The ratio of baseball cards to football cards in Don's collection is 8 to 15.

Given that for every 8 baseball cards, Don has 15 football cards, the ratio between baseball and football cards can be expressed as 8 to 15. This ratio signifies the comparative quantity of baseball cards to football cards in Don's collection.

Understanding ratios is essential to represent the relationship between different quantities or values. In this scenario, the ratio 8 to 15 indicates that for every 8 baseball cards, Don owns 15 football cards.

The ratio 8 to 15 is simplified, representing the proportional relationship between the number of baseball cards and football cards in a manner that showcases the relative quantity of each type of card Don possesses.

Ratios help in understanding and comparing quantities, providing a concise way to express relationships between different values or items, as demonstrated in the comparison between the number of baseball and football cards in Don's collection.

Answer: C and D

Step-by-step explanation:

25% of the students said orange was their favorite color.

50% of the students said either green or orange was their favorite color.

Answer:

the answer my friend would likley be c and:D

Step-by-step explanation:

Hope this helps

Answer:

Triangular Prism.

The name of the figuare is triangular prism, the correct option is A.

In geometry, a triangular prism is a type of prism with three sides and two bases.

The sides are of rectangle shape and bases are of triangle shape.

A triangular prism is a popular polyhedron. It is having two triangular bases and three rectangular sides.

According to the nature of prism, the two triangular bases are parallel and congruent to each other. It is a pentahedron with nine distinct nets.

The edges and vertices of the bases are connected with each other.

The rectangular sides of this prism are rectangular in shape and are joint with each other side by side.

All the cross-sections parallel to the base faces are triangle.

The given image has the shape of trigular prism.

Hence, the name of the figuare is triangular prism, the correct option is A.

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Answer: d) (-1, 0); 2

Step-by-step explanation:

The equation of a circle is: (x - h)² + (y - k)² = r²

(x +1)² + y² = 4 can be rewritten as:  (x - (-1))² + (y - 0)² = 2²

→ (h, k) = (-1, 0)

→ r = 2

Answer:

b

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

4 times 5 =20 and 9 times 5=45

Answer:

Adult is $12 and child is $7

Step-by-step explanation:

Adult=x and Children=y

first day: 4x+1y=55

second: 3x+2y=50

Get one letter the same but opposite

(4x+1y=55) times that by -2

-8x+-2y=110

3x+2y=50

minus all of that u get

-5x=60

divide 60 by 5

x=12

fill in X

3(12)+2y=50

36+2y=50

-36       -36

2y=14

/2    /2

y=7

The question is about solving a system of equations representing the sales of adult and child tickets. You would use either substitution or elimination methods to find the individual prices of the adult (A) and child (C) tickets.

The subject of your query pertains to system of equations. In this problem, we can establish two equations based on the information provided: 4A + C = 55 and 3A + 2C = 50, where A represents the cost of an adult ticket and C is the cost of a child ticket. We can solve this using the substitution or elimination method. If we solve the first equation for A, we will obtain A = (55-C)/4. Substituting this into the second equation gives us 3((55-C)/4) + 2C = 50. Simplifying and solving this equation will provide us with the cost of the child ticket (C), which we can then substitute back into one of our original equations to find the price of an adult ticket (A).

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Answer:

1-Arc PQ is congruent to arc SR.

2-The measure of arc QR is 150°.

4-Arc PS measures about 13.1 cm.

5-Arc QS measures about 15.7 cm

Step-by-step explanation:

1,2,4,5

Answer:

A
B
D
E

Step-by-step explanation:

C is dum and wrong

Answer:

C: Jordana made a mistake when she calculated the length of side B.

Step-by-step explanation:

Jordana made a mistake while calculating the length of side B.

A scale factor is a factor by which dimensions of an object are enlarged or diminished.

One parallel length i.e. side A of original isosceles trapezoid = 12cm

One parallel length  i.e. side A of reduced isosceles trapezoid =4cm

So, scale factor = 4/12 =1/3

Other parallel length i.e. side B of original isosceles trapezoid =

So, the other parallel length i.e. side B of reduced isosceles trapezoid = 36*1/3 = 12cm

The side lengths of the reduced isosceles trapezoid = 30*1/3 = 10cm

So, the perimeter of the reduced isosceles trapezoid =4+12+10+10 =36cm

While Jordana calculated the length of side B as 4.

Thus, Jordana made a mistake while calculating the length of side B.

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Answer:

$800

Step-by-step explanation:

A = P [tex](0.5)^{t}[/tex]

Because it's every 3 years, you need to find how many 3 years in the 17-year-period of time.

17/3 = 5.666...

P is initial amount:

A = $41, 000 [tex](0.5)^{5.666...}[/tex]

A = 41, 000 (0.01968...)

A = 807.13692...

A ≈ $800

Rounded to the nearest hundred dollars.

Answer:$800

Step-by-step explanation: trust

Answer:

220

Step-by-step explanation:

plug it into surface area formula for rectangular prisms

A=2(wl+hl+hw)