Find the missing length. The triangles in each pair are similar.
A. 36
B. 35
C. 26
D. 33 ​

Answer:

(Choice A) A More rainfall relates to more mosquitoes, as long as rainfall is less than 2 cm²

Step-by-step explanation:

The given function for the number of mosquitoes, (by analysis of the options) is, g(x) = 4·x - x²

Where;

x = The amount of rainfall

g(x) = The number of mosquitoes in millions

The given function can be expressed as follows;

g(x) = 4·x - x² + 0

The maximum point is given by g'(x) = d(4·x - x²)/dx = 4 - 2·x = 0

At the maximum (turning point), we have;

4 - 2·x = 0

4 = 2·x

x = 4/2 = 2

The level of rainfall that gives the maximum number of mosquitoes is, x = 2 cm²

The number of mosquitoes increases from zero rainfall up to the maximum number of 4 million mosquitoes at 2 cm² rainfall and then decreases to zero as the rainfall increases further more than 2 cm², as shown in the attached  graph of the function g(x) that models the number of mosquitoes created with MS Excel

Therefore, the true statement is (Choice A) more rainfall relates to more mosquitoes, as long as (the level of) rainfall is less than (the maximum) 2 cm².

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

since each time you divide like 14300÷ 11 is 1300 so all big numbers divided by small numbers = 1300

Answer:

45

Hope this helps!

The sequence of transformations that maps the congruent figures are

Rotation, Reflection and Translation.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

The types of transformations that preserve congruency includes: Rotation Turns a figure around a fixed point.

Since Reflection Flip of figure over a line where a mirror image is created.

And Translation Sliding a shape to a new place without changing the figure.

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Answer:

Yes, 12:18 is simplified to 2:3

Step-by-step explanation:

Answer:2/3 is the simplest form of 12/18.

Step-by-step explanation:

yes, 12/18 can simplified

Answer:

B

Step-by-step explanation:

I believe it is B because it is the only one that doesnt have x values that repeat and give different answers.

Ex. For a, the x value in the first and third coords gives both 1 and 3 as answers.

Every x has to have a unique y value, so

(2,10) (3,12) is ok, but (2,10) (2,12) is not.

Sorry if this doesnt make sense haha

Answer:

R: 5,3

P: 2, -1

Q: 4, -1

Step-by-step explanation:

Hope this helped

Answer:

See pictures.

Step-by-step explanation:

Move the triangle 2 up, then 7 to the right.

Answer:

a) 49

b) 100 (I'm assuming that the 2 was supposed to be a square)

Step-by-step explanation:

Substitute the value in for x (the value being 7):

7² = 49

(7 + 3)² = (10)² = 100

Answer:5 3/20

Step-by-step explanation:

6 8/20 0- 1 5/20= 5 3/20

Answer:

b

Step-by-step explanation:

An explicit formula for a sequence allows you to find the value of any term in the sequence. ... A recursive formula for a sequence allows you to find the value of the nth term in the sequence if you know the value of the (n-1)th term in the sequence.

The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10, the correct option is B.

A recursive formula is used to determine the nth term when (n-1) th term is given in the series.

The Explicit formula is when any term of the sequence has to be determined on the basis of the first term and the common difference.

The recursive formula just requires one operation, while the explicit formula requires multiple operations,

The recursive formula is limited to determining the consecutive terms while the explicit formula can be used to determine any term of the sequence.

The explicit formula will be best used in finding the 7th term when the first term is -1 and the common difference is 10.

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Answer:

C. 9 8/56

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Box contain = 512 grams

One serving = 56 gram

So, we can calculate the number of serving by using following formula,

Number of serving = Box contain ÷ One serving

By putting the value, we get

Number of serving = 512 ÷ 56

= 9.14 or 9 8/56

Answer:

9.4

Step-by-step explanation:

Hopefully this explains it well enough, I can go deeper if needed :)

Answer:

25

Step-by-step explanation:

Answer:

David can run 28.7 miles in 3.5 hours.

Step-by-step explanation:

8.2mph × 3.5hours = 28.7miles

good luck, i hope this helps :)

Answer:

62 (I guess, if I understand your text correctly)

Step-by-step explanation:

you mean she did not need her toy farm animals anymore and gives all of them evenly to her 3 younger cousins ?

then it is a very simple division : 186 / 3 = 62

do you not know how to divide ?

186 / 3

you take the number on the right and compare it to the first (most left) digit position on the left side and see, if the right side can divide this left position.

so, in our case, 1 / 3. Is that possible ? no. so, the result is 0, and we keep the leftover from the left side (still this "1").

now we attach the next digit (going from left to right) from the left side : 18

and we compare again - can we divide now this left side by the right side ? in our example 18 / 3. is that possible ? yes ! the result is 6. we attach this result to our previous result (0) and get 06 (or simply 6). and now there is nothing left in our intermediate division (18/3 creates no remainder, it is just straight 6).

so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : 06 (or simply 6).

and we compare again - can we divide now this left side by the right side ? in our example 6 / 3. is that possible ? yes ! the result is 2. we attach this result to our previous result (06) and get 062 (or simply 62). and now there is nothing left in our intermediate division (6/3 creates no remainder, it is just straight 2).

so, our leftover on the left side is 0, and we attach the next digit (again, going from left to right) on the left side to the leftover : oh, there are no more digits. we are finished !

and we have calculated just by hand or mind without any calculator that 186/3 = 62

Answer:

c

Step-by-step explanation:

Expressing the proportion in fractional form , that is

[tex]\frac{x+4}{x+12}[/tex] = [tex]\frac{x-1}{x+5}[/tex] ( cross- multiply )

(x + 4)(x + 5) = (x + 12)(x - 1) ← expand both sides using FOIL

x² + 9x + 20 = x² + 11x - 12 ← subtract x² + 9x from both sides

20 = 2x - 12 ( add 12 to both sides )

32 = 2x ( divide both sides by 2 )

16 = x → c

Answer:

EF = 13

Step-by-step explanation:

Opposite sides of a parallelogram are of equal lengths (properties of a parallelogram)

Therefore,

EF = DG

x + 3 = 2x - 7 (substitution)

Collect like terms

x - 2x = -3 - 7

-x = -10

Divide both sides by -1

x = -10/-1

x = 10

✔️EF = x + 3

Plug in the value of x

EF = 10 + 3

EF = 13

Answer:

I think 12 * 12/ 60 = ?

12*12= 144

144/ 60= ?

Answer:

360°

Step-by-step explanation:

I think

1/2 base ×height

1/2×60×12

30×12

=360

Step-by-step explanation:

Given f(x) = 5x - 7 and g(x) = x² - 3, find f(f(2))

Answer:

Oh..Im so sorry that happened, Thats what you call fake friends

Step-by-step explanation:

Answer:

a movie about a asian kid and a old man who take a ballon house to the sky. Step-by-step explanation:

Answer:D

Step-by-step explanation:

Sorry Ik it’s to late lol

Answer:

"16c"

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Answer:

16cm²

Step-by-step explanation:

Area of trapezium = ½(sum of parallel sides) x height

height= 4cm

parallel sides= 3cm and 5cm

½(3+5)cm x 4cm

½(8)cm x 4cm

32cm²÷ 2

16cm²

The coordinate of D is [tex](0, -1\frac{1}{5})[/tex] and the scale factor is 2/5.

The correct option is D.) D (0, −1 1/5); 2/5

To determine the coordinates of D, we will first determine the length of /OD/

Consider △AOC and △BOD. They are similar triangles.

From the diagram, we can determine the lengths of the sides of each triangle /OB/ = 2 units, /OA/ = 5 units, /OC/ = 3 units and /OD/ is unknown

Since △AOC is similar △BOD, then we can write that

[tex]\frac{/OB/}{/OA/} = \frac{/OD/}{/OC/}[/tex]

∴ [tex]\frac{2}{5} = \frac{/OD/}{3}[/tex]

[tex]/OD/ \times 5 = 2 \times 3[/tex]

[tex]/OD/ \times 5 = 6[/tex]

Then,

[tex]/OD/ = \frac{6}{5}[/tex]

∴ [tex]/OD/ = 1\frac{1}{5}[/tex]

Hence, the coordinate of D is [tex](0, -1\frac{1}{5})[/tex] since D is on the negative side of the y-axis.

For the scale factor,

Scale factor = [tex]\frac{/OB/}{/OA/}[/tex]

Scale factor = [tex]\frac{2}{5}\\[/tex]

Hence, the scale factor is 2/5

The correct option is D.) D (0, −1 1/5); 2/5

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Answer:

D(0, −115); 25

Step-by-step explanation:

2/5 of 9

= 2/5 × 9 = 18/5

18/5 = 3 3/5

Answer:

thw answer is in the photo!

Step-by-step explanation:

hoped I helped!

The value of the inequality is P > -5.

Therefore the correct option is c.

Given is an inequality P - 3 > -8, we need to solve and graph it,

To solve the inequality P - 3 > -8, you can isolate the variable P by adding 3 to both sides of the inequality:

P - 3 + 3 > -8 + 3

Simplifying further:

P > -5

The solution to the inequality is P > -5, which means that P can take any value greater than -5.

To graph this solution on a number line, you can represent all values greater than -5 with an open circle on -5, and shade the region to the right of -5 to indicate the values that satisfy the inequality. Since the inequality does not include -5 itself (due to the strict inequality P > -5), the circle representing -5 should be left open.

Here's a visual representation of the graph (attached)

The shaded portion on the number line represents the values of P that satisfy the inequality P > -5.

Hence the value of the inequality is P > -5.

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Answer:

D

Step-by-step explanation:

the y intercept is the part where the slope touches the y axis (up and down)

Answer:

The third number from the end :3

Step-by-step explanation:

Hope this helps ^^