Based on the scatterplot what is the best prediction of the number of visitors the zoo will receive on a day with high temperature of 106

20 students represent 100% of the class, to find how many students are 40% of the class, we can use the next proportion:

Solving for x,

8 students have a pet

Answer:

A.

The graph shows trigonometric functions intercept the x-axis at minus 3, 0.2, and 3.5 units also pass parallel to the g of the x-axis.

The required result if the given expression is \(11[\frac{t}{40}-2]\).

What is expression?

A finite combination of symbols that are well-formed in accordance with context-dependent principles constitutes an expression or mathematical expression.

Given the expression quantity three fourths times t minus 5 plus two fifths times t end quantity minus quantity five eighths times t plus 17 end quantity.

We write it in expression and we get

\(\frac{3}{4} \times t-5+\frac{2}{5} \times t-\frac{5}{8} \times t +17\)

Now

\(\frac{3}{4} \times t-5+\frac{2}{5} \times t-[\frac{5}{8} \times t +17]\\=\frac{3t}{4} +\frac{2t}{5} -\frac{5t}{8} -22\\=\frac{2t}{5}+\frac{6t-5t}{8}-22\\=\frac{2t}{5}+\frac{t}{8}-22\\=\frac{16t-5t}{40}-22\\=\frac{11t}{40}-22\\=11[\frac{t}{40}-2]\)

Therefore, the required result if the given expression is \(11[\frac{t}{40}-2]\).

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don't use the answer above this one, its wrong.

Answer:

Step-by-step explanation:

Ok lets get rolling

So far as we know, perimeter is the sum of all sides of a figure

in a rectangle opposite sides are equal, therefore we after some machinations we get this equation

P of rectangle = 2(10u+2v) + 2(3u-4v)
P of rectangle = 20u+4v + 6u - 8v
P of rectangle = 26u - 4v

and thats ur answer

hope this helps

Answer:

Aquarium dimensions:

x = 3,106 m

h = 6,22 m

C(min) = 1277,62 $

Step-by-step explanation: (INCOMPLETE QUESTION)

We have to assume:

The shape of the aquarium  (square base)

Let´s call "x" the side of the base, then h ( the heigh)

V(a) = x²*h          h = V(a)/x²      

Cost of Aquarium   C(a) = cost of the base (in stones) + 4* cost of one side (in glass)

C(a) = Area of the base *120 + 4*Area of one side*30

Area of the base is x²

Area of one side  is   x*h   or  x*V(a)/x²  

Area of one side is V(a)/x

C(x) = 120*x² + 4*30*60/x

C(x) = 120*x² +  7200/x

Taking derivatives on both sides of the equation we get

C´(x) = 2*120*x  - 7200/x²

C´(x) = 0 means    240 *x  - 7200/x² = 0

240*x³ - 7200 = 0

x³ = 7200/240

x = 3,106 m   and  h = 60 /x²     h =   6,22 m

and C (min) = 120*(3,106)³ - 7200 / 3,106

C(min) =  3595,72 - 2318,1

C(min) = 1277,62

The equation to find Shanti's age is y = x - 3 where y is Shanti's age.

Given,

Shanti's sister Uri is Shanti's age plus 3 years.

Uri is 7 years old.

We need to write an equation to find Shanti's age.

We have,

Uri age = Shanti age + 3______(1)

Uri = 7 years old

Putting in (1)

We get,

Uri age = Shanti age + 3

7 = Shanti age + 3

Subtracting 3 on both sides.

7 - 3 = Shanti age + 3 - 3

4 = Shanti age

We see that Shanti's age is 4 years old.

If we have to write an equation then,

Consider Uri's age to be x and Shanti's age to be y.

Now,

Uri age = Shanti age + 3

x = y + 3

Subtracting 3 on both sides

x -3 = y

y = x - 3 is our equation.

Thus the equation to find Shanti's age is y = x - 3.

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The values of k (i.e. +3 and -2) in functions b and c change the rational graph by (b) shifts right/left

The functions are given as:

\(y = \sqrt x\)

\(y = \sqrt {x + 3\)

\(y = \sqrt {x - 2\)

See attachment for the graphs of the three functions.

From the attached graph, we can see that \(y = \sqrt {x + 3\) and \(y = \sqrt {x - 2\) are at the left and right of the function \(y = \sqrt x\)

Hence, the values of k in functions b and c change the rational graph by shifting it right/left

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The volume of the first aquarium is 1404 inches = 2 minutes

14784/1404=10.5299145299

10.5299145299*2=21.0598290598

The volume of the second aquarium is 14784 inches = 21.05 minutes

Step-by-step explanation:

what is the problem ?

we only need to use the formula that can be found easily on the internet.

the area of a circle is

pi×r²

r being the radius (half of the diameter). in our case :

14/2 = 7 m

and we shall use 22/7 as approximation for pi.

so, we get as circle area

22/7 × 7² = 22 × 7 = 154 m²

Answer:

yeah it's small, so is yours. sorry

Answer:

Mark is 42. 3J = M and J + M = 56

Step-by-step explanation:

Since Mark is 3 times as old as Julie, and the sum of their ages is 56, you could divide 56 by 4 (one time because of Julie’s age, the other 3 times because of how many times Mark is older than Julie) You would get 14. That means that Julie is 14. To find Mark’s age, you would multiply 14 (Julie’s age) by 3. The answer would be 42.

Answer:

881465966

Step-by-step explanation:

Answer:

(2x-1)(2x+1)

Step-by-step explanation:

the answer is c

Answer:

13

Step-by-step explanation:

This problem is an example of pigeonhole principle which states that If n+ 1 objects are placed into n boxes, then some box contains at least 2 objects.

Here no. of months in a year are boxes n = 12.

Therefore number of objects( people) = n+1= 13.

Then,at least two people  in the group whose birthdays fall in the same month.

Answer: 11z+2

Step-by-step explanation:

Answer:

8. B

9. B

10. B

thats my answer

Answer:

500

Step-by-step explanation:

percentage is the quantitative way to express number of things out of 100 things.

For example : 20% of bananas are ripe.

it means that if there are 100 apples, 20 are ripe.

Let the  total number of cupcakes sold that day be X

20% of total number of cupcakes sold = 20% of X = (20/100) * X __1

It is given that 20% of total number of cupcakes sold is equal to 100

Thus the equation 1 should be equal to 100.

Writing it mathematically we have

(20/100) * X = 100

=> 0.2X = 100

=> X = 100/0.2 = 500

500  cupcakes did the bakery sell that day.

Easy buddy....

\(2 x + 68 = 180\)

Subtract the sides of the equation minus 68

\(2x = 180 - 68\)

\(2x = 112\)

Divided the sides of the equation by 2

\(x = \frac{112}{2} = 56 \\ \)

So ;

\(x = 56 \: degreees\)

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer: It will be A that is the best answers

Based on the given data, we can Reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

Based on the given data, we can make the following inferences:

b. Most knitters use some kind of specialty yarn:

Since the total number of knitters surveyed is 100, and each knitter was asked about their preference for specialty yarn, we can infer that most knitters (if not all) use some kind of specialty yarn. This is because all the surveyed knitters were specifically asked about their preference for specialty yarn, indicating that specialty yarn is commonly used among knitters.

c. More knitters like boucle yarn than other specialty yarns:

According to the data, 40 knitters preferred boucle yarn, which is more than the number of knitters who preferred any other specialty yarn. Therefore, we can infer that among the surveyed knitters, there is a higher preference for boucle yarn compared to other specialty yarns.

The other statements cannot be reasonably inferred from the given data:

a. The data does not provide information about the number of knitters using sequin yarns compared to fuzzy yarns. We only have information about the preference for boucle, mohair, and metallic yarns.

d. The data does not provide information about the preference of 500 knitters or the comparison of boucle yarn to other specialty yarns among a larger population.

e. The data does not provide information about the preference for metallic yarn compared to plain yarn among the surveyed knitters. The data only includes information about the preference for boucle, mohair, and metallic yarns.

In conclusion, based on the given data, we can reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

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The transformation rule used to create this image is (x, y) → (1/4x + 1, 3/8y + k)

A transformation in geometry is the process of altering a geometric shape or object's position, orientation, or size.

This transformation involves moving a shape from one place to another without altering its size, shape, or orientation. To put it another way, the entire shape is moved a specific amount in one direction

Here we have

A pre-image has coordinates B(8, 4), U(6, 10) and N(5, −2). The image has coordinates B’(2, 1), U’(1.5, 2.5) and N’(1.25, −0.5).

To find the transformation rule, identify the type of transformation that maps the pre-image coordinates to the image coordinates.

One way to do this is to find the changes in the x-coordinates and y-coordinates between the pre-image and image points.

Let's start with point B.

The x-coordinate has decreased from 8 to 2, and the y-coordinate has decreased from 4 to 1.5.

This implies that there has been horizontal compression and vertical compression.

Here the x-coordinate has been compressed by a factor of 2/8 = 1/4, and the y-coordinate has been compressed by a factor of 1.5/4 = 3/8.

So, the transformation rule for point B is:

=> B(x, y) → B'(1/4x, 3/8y)

Using the same method for points U and N, we can find the transformation rules for those points:

U(x, y) → U'(1/4x, 3/8y + 7/8)

N(x, y) → N'(1/4x + 1, 3/8y - 1/4)

So, the overall transformation rule is:

(x, y) → (1/4x + 1, 3/8y + k)

where k is a constant that depends on the particular point being transformed.  

Therefore,

The transformation rule used to create this image is

(x, y) → (1/4x + 1, 3/8y + k)

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Answer:

x=27 or x= -8

Step-by-step explanation:

rearrange the terms

convert the expression

simplify the expression

rewrite the equation

solve the equation

formulate new equations

I can't show the full steps since there's no image

Answer:

this is answers

scan and see

Answer:

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Step-by-step explanation:

The given vector function  can be correctly expressed as:

\(r(t) = \dfrac{t-2}{t+2}i + sin \ tj + In(36-t^2) k\)

The domain of the given function can be determined by finding the domain of each respective component.

To start with \(\dfrac{t-2}{t+2}\)

Not defined, t = -2

Thus, the domain of the first component of the vector = \(( - \infty , -2) \cup ( 2, \infty )\)

The 2nd component = sin t

No restriction on t

The 3rd component of the function is ㏑(36 - t²)

Let recall that natural is defined for +ve numbers,

i.e.

36 - t² > 0

(6 + t) (6 - t) > 0

Thus, it satisfies the inequality  -6 < t < 6

The third domain = (-6,6)

Overall;

The domain of the vector function is :  ( -6, -2) ∪ ( -2, 6)

Domain of a function is the set all possible inputs for that function.The domain of the given vector function is,

\((-6, -2) \cap (-2,6)\)

Domain of a function is the set all possible inputs for that function.

Given information-

The vector function given in the problem is,

\(r(t)=\dfrac{t-1}{t+2} \hat i++sin(t)\hat j+ln(49-t^2)\hat k\)

To find the domain of the above vector function, we need to find the domain of each function of vector quantity.

Lets find the domain of \(\hat i\) first which is given by,

\(\dfrac{t-2}{t+2}\)

This function is defined at all values except, t equals to -2 as the function is not defined at,

\(t=-2\)

Hence the domain of component \(\hat i\) is,

\((-\infty, -2) \cap (\infty,2)\\\)

Lets find the domain of \(\hat j\) first which is given by,

\(\sin(t)\)

Two trigonometry function sine and cosine defined for all real number.

This function is defined at all real numbers. Hence the domain of component \(\hat j\) is

Lets find the domain of \(\hat k\) first which is given by,

\(\ln(36-t^2)\)

Set the above argument greater than zero to find where the expression is defined.Thus,

\((36-t^2)>0\\(6+t)(6-t)>0\)

Therefore,

The domain of it should be \((-6,6)\)

Hence the domain of the given vector function is,

\((-6, -2) \cap (-2,6)\)

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Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

The width of the field is 230 feet and the length is 310 feet.

Let's denote the width of the field as "x" feet.

The length of the field is 80 feet longer than the width, so it can be represented as "x + 80" feet.

To find the total amount of fencing material needed, we sum up the lengths of all four sides of the rectangular field:

2(length) + 2(width) = perimeter

Substituting the given values:

2(x + 80) + 2(x) = 1080

2x + 160 + 2x = 1080

4x + 160 = 1080

4x = 920

x = 920/4

x = 230

Therefore, the width of the field is 230 feet.

Now we can find the length by adding 80 feet to the width:

Length = Width + 80 = 230 + 80 = 310 feet.

So, the width of the field is 230 feet and the length is 310 feet.

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Answer:

D 1/16

Step-by-step explanation:

(1/2)^4=.0625

.0625= 1/16

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer:

Grams

Step-by-step explanation:

Because we want to know the mass

Answer: grams (g)

Step-by-step explanation:

Answer:

    Positive correlation    

Step-by-step explanation:

A positive correlation is a relationship between two variables in which both variables move in the same direction. Ex:  Higher levels of one variable are associated with higher levels of the other.

A relationship in which higher levels of one variable are associated with higher levels of another is best described as Positive correlation.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

A positive correlation is a relationship between two variables that move in tandem—that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases.

Hence, A relationship in which higher levels of one variable are associated with higher levels of another is best described as Positive correlation.

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