inez waters her plants every two days.She trims them every 15 days.She did both today.when will she do both again

The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Answer:

(3x+1)^2

Step-by-step explanation:

Answer:

l

Step-by-step explanation:

Answer:

an = 7.5 - 5.5(n - 1).

Step-by-step explanation:

The common difference d = -5.5.

The first term is given as 7.5.

Explicit formula is

an = a1 + (n - 1)d

= 7.5 + (n - 1)-5.5

= 7.5 - 5.5(n - 1)

Answer:

48

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

When dividing fractions flip and multiply.

So 12 would become 1/12

and 1/4 would become 4/1

Now multiply

\(\frac{1}{12}*\frac{4}{1}= \frac{4}{12} = \frac{1}{3}\)

So the answer is 1/3

When dividing fraction remember to flip then multiply much easier that way!

Hope this helps!!

Solution :

The formula for the linearization of a function \($f(x)$\) at a point \($x$\) = a is given as

\($L(x)=f(a)+(x-a)f'(a)$\)

Assuming the time is t and the distance travelled is \($f(t)$\), that makes the speed as \($f'(t)$\).

So substituting them in the linearization formula,

A. At t = 7 minutes

   f(7) = 2.5 km

    f'(7) = 0.5 kpm

  ∴ \($L_7(t)=f(7)+(t-7)f'(7)$\)

             \($=2.5+(t-7)0.5$\)

              \($=2.5+0.5t-3.5$\)

              \($=0.5t-1$\)

B. At t = 18 minutes

      f(18) = 14.8 km

    f'(18) = 0.8 kpm

  ∴ \($L_{18}(t)=f(18)+(t-18)f'(18)$\)

               \($=14.8+(t-18)0.8$\)

              \($=14.8+0.8t-14.4$\)

              \($=0.8t-0.4$\)

C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get

\($L_7(14)=0.5(14)-1.0$\)

          = 7 - 1

          = 6 km

\($L_{18}(14)=0.8(14)+0.4$\)

            = 11.2 + 0.4

            = 11.6 km

D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km

                                           = 3.5 km

And between the 14 minutes and 18 minutes is = 14.8 km - 6 km

                                                                              = 8.8 km

This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.

Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km

                                                           = 9.1 km

And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km

                                                                       = 3.2 km

This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.

Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.  

Answer:

Smallest element in the set of range is -3

Step-by-step explanation:

From the given set of ordered pairs,

x-value of each pair represents the Domain of the relation.

y-value of the pair represents the Range of the relation.

Set of domain:

{0, 1, 2, 3, 4, 5, 6}

Set of Range:

{1, 3, 2, 5, 2, -3, 2}

Smallest number in the set of range = -3.

Therefore, smallest element in the set of range is -3.

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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Answer:

It is an Integer, but it can also be a rational number.

Step-by-step explanation:

My math teacher told meh

Answer:

Step-by-step explanation:

-4y = -5x + 4

4y = 5x - 4

y = 5/4x - 1

y - 2 = 5/4(x + 8)

y - 2 = 5/4x + 10

y = 5/4x + 12

The possible values for t for the points A and B with gradient 2 are t = -1 or t = 3/2.

Given the gradient 2 for the point A and B, we have that;

gradient = (y₂ - y₁)/(x₂ - x₁)

so;

2 = (2t² + 7 - t)/(7 - 2)

2 = (2t² + 7 - t)/5

10 = 2t² + 7 - t {cross multiplication}

2t² + 7 - t - 10 = 0

2t² - t - 3 = 0

2t² + 2t - 3t - 3 = 0 {we rewrite the middle term}

2t(t + 1) -3(t + 1) = 0

(2t - 3)(t + 1) = 0 {factorization}

2t - 3 = 0 or t + 1 = 0

t = 3/2 or t = -1

Therefore, the possible values for t for the points A and B with gradient 2 are t = -1 or t = 3/2.

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The quotient of the expressions −48.132 and −0.84 will be 57.30. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Given −48.132 ÷ −0.84.

Then the value of the expression will be

⇒ −48.132 / −0.84

If in the numerator and the denomination, the negative sign is present, then both will cancel out each other.

⇒ 48.132 / 0.84

⇒ 57.30

The quotient of the expressions −48.132 and −0.84 will be 57.30.

Then the correct option is C.

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SOLUTION

From the given data

Since there are 10 possible outcomes

Then the theoretical probability of getting a 0 is

From the given experiment

There are 40 total possible outcomes.

The possible outcome of 0 is 7

Therefore, the experimental probability of getting 0 is

Answer: Hello!

Step-by-step explanation: After measuring the two triangles I can conclude they are congruent!

Finn, tenth grader straight A student.

Have a great day.

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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a 16% tip is left on a 42.50 lunch bill. How much is paid altogether

\(42.50 + 42.50 \times 16\%\)

\( = 42.50 + 42.50 \times 0.16\)

\( = 42.50 + 6.8\)

\( = 49.3\)

$49.30 is paid altogether

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We are given the following two equations

We are asked to solve the equation using the substitution method.

Let us re-arrange the eq.1 for y and then substitute it into the eq.2

Now substitute it into the eq.2

Now substitute the value of x into the eq.1

Therefore, the solution of the given equations is (-3, 8)

x = -3

y = 8

Answer:0.55

Step-by-step explanation:

round too the nearest tens!

Answer:

13/24

Step-by-step explanation:

Find a common denominator

-Multiply both the numerator and denominator by 4

1/6 is the same as 4/24

-Multiply both the numerator and denominator by

3/8 is the same as 9/24

4/24 + 9/24 = 13/2

Answer:each apple cost $1.45

Step-by-step explanation:l----------l

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

Sin A = 1/5

Step-by-step explanation:

Reference Angle = A

Opposite = 2

Adjacent = √96

Hypotenuse = 10

Recall, SOHCAHTOA. We are using SOH.

Therefore:

Sin A = Opp/Hyp

Sin A = 2/10

Sin A = 1/5

For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

As given in the question,

Rules to round of nearest thousand are:

Check the near by hundred digit :

Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:

 Events                                         Nearest thousand

Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

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Answer:

C=F/M

C=2640/75

C=35.20

$35.20 Per Band Member

Step-by-step explanation:

C= Cost Per Band Member

F = Food and Bus Cost

M = Band Members

Answer:

The answer is 32.2 (35 with ramainder of 15)

Step-by-step explanation:

THE ANSWER IS 35 WITH REMAINDER OF 15

Answer: (D) 12 to 4

Step-by-step explanation:

        First, we will find the number of people waiting in line for each activity.

➜ Bumper cars is 12

➜ Slingshot is 4

        Next, we will create our ratio. This is asking for Bumper cars to Slingshot, so Bumper cars is first with Slingshot second.

➜ 12 to 4

Answer: 32

Step-by-step explanation:

Answer:

CI= [4.324 , 5.6758]

Step-by-step explanation:

The 90 % confidence interval for the normal distribution is given by

(x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2

where Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2

and n1= 12 n2=10

x1`= 16 km x`2 = 11km

s1= 1km s2= 0.8km

and degrees of freedom υ= n1+n2-2= 20

Here ∝/2 = 0.05

From the table we get the value of t∝/2 (υ) to be 1.725

Putting the values

Sp = √[n1-1 (s1)² + n2-1 (s2)²]/n1+n2-2

Sp= √11(1) + 9(0.8)²/20

Sp= √0.838=0.915

CI = (x`1- x2` ) ± t ∝/2 (υ) .Sp √1/n1 + 1/n2

CI = (16-11)± 1.725 * 0.915√1/12+ 1/10

CI = (5) ± 0.675819

CI=[ 4.324 , 5.6758]

Answer: 4(20+9)+4(6) thats the first one

4(20)+4(9)+4( 6) thats the second one

80+36+24=140 that is the third

Step-by-step explanation:

Answer:

4(20+9)+4(6)

4(20)+4(9)+4( 6)

Step-by-step explanation:

Elements of following sets are

A = {1}

B = {-1, 1}

C = Q ∩ [0, 1]

Sets

Sets, in mathematics, are an organized collection of objects and can be represented in set-builder form or roster form. Usually, sets are represented in curly braces {}, for example, A = {1,2,3,4} is a set. A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Given that

A = {n ∈ N : cos(nπ) greater than or equal to 0}

B = {cos(nπ) : n ∈ N}

C = {q + r : q, r ∈ Q ∩ [0, 1]}

Therefore elements of

A = {1}

as cos 2\(\pi\), cos 4\(\pi\), cos 6\(\pi\), cos 8\(\pi\) and so on is equal to 1.

B = {-1, 1}

as cos \(\pi\) , cos 2\(\pi\), cos 3\(\pi\), cos 4\(\pi\), cos 5\(\pi\) and so on is equal to -1 and 1.

C = Q ∩ [0, 1]

as q and r both belongs to Q ∩ [0, 1] and their sum will be also equal to Q ∩ [0, 1].

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Problem Statement

We are asked to find the critical t-value for a confidence level of 80% and sample size of 17.

Method

To solve this, we simply need to do two things:

1. Calculate the degrees of freedom: