a small gecko is 3/4 inch long. a larger gecko is 11 1/3 times as long. how long is the larger gecko?

Given data:

CAD is twice the measure of angle CAB.

Let, angle CAB = x then

angle CAD = 2x

Now,

Thus, the correct option is (b)

The function will go somewhere between x = 4 and x = 5

The function is given as:

y = 2^x

The question implies that:

If the maximum y value on a graph is x = 20; What is the maximum x value on the graph of y = 2^x

To do this, we start by setting y to 20.

So, we have:

2^x = 20

Take the logarithm of both sides

x log(2) = log(20)

Divide by log(2)

x = 4.32

4.32 is between 4 and 5

Hence, the function will go somewhere between x = 4 and x = 5

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Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

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The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

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Answer:

Step-by-step explanation:

easy its A tell me if u got it correct good job (:

Answer:

constants

Step-by-step explanation:

That is, they're the terms without variables. We call them constants because their value never changes, since there are no variables in the term that can change its value.

The term or number with no variable attached is called a constant as in the polynomial or expression.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

A number consists of the expression with no variable.

As we know, the expression is a combination of numbers, variables, and operators.

If we take an example of the polynomial.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm p(x) = a_0+a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

Here a₀ is a constant because the term a₀ has no variables.

Thus, the term or number with no variable attached is called a constant as in the polynomial or expression and the constant value does not change.

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9514 1404 393

Answer:

  (x, y) = (19, 20)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (-3x +8y) +(-5x -8y) = (103) +(-255)

  -8x = -152

  x = 19 . . . . . . . divide by -8

Substituting into the first equation, we have ...

  -3(19) +8y = 103

  8y = 160

  y = 20

The solution is (x, y) = (19, 20).

According to the given graph:

A histogram is a data representation that looks like a bar graph that bins a variety of classifications into columns and along the horizontal x-axis. The number count or percentage of occurrences inside this data for each column is represented by the vertical y-axis. Columns can be utilized to display data distribution patterns.

When you're taking continuous measurements and you want to understand the distribution of results and look for outliers, use histograms. These graphs divide your continuous measurements into value ranges known as bins.

Based on these data, the numbers below appear to represent the smallest.:

= Age at graduation (in years) between 45 to 50 years.

Based on these data, the numbers below appear to represent the largest.

= Age at graduation (in years) between 20  to 25 years.

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I understand that the question you are looking for is:

Twenty professional athletes were asked, “What age did you graduate from college?” The responses are displayed in the histogram below.

Frequency 20 30 Age at graduation (in years) 40 50

(a) Which of the statistics below appear to be the smallest based on these data?

(b) Which of the statistics below appear to be the largest based on these data?

Consequently, a combined total of 170 chemistry texts and 89 sociology textbooks were distributed.

Many students find algebra intimidating as it's the initial math course they attend where they have to deal with variables, complex ideas, and problem-solving skills. Additionally, there is frequently insufficient effort made in the school to relate algebra to students' daily activities and clarify why understanding it is important.

Let's use algebra to solve the problem.

Let x be the number of chemistry textbooks sold.

Then, the number of sociology textbooks sold is x - 81.

We know that the total number of textbooks sold is 259, so we can write an equation:

x + (x - 81) = 259

Simplifying and solving for x:

2x - 81 = 259

2x = 340

x = 170

So the number of chemistry textbooks sold is 170.

The number of sociology textbooks sold is x - 81 = 170 - 81 = 89.

Therefore, 170 chemistry textbooks and 89 sociology textbooks were sold in total.

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Answer:

0.25 g/mL

Step-by-step explanation:

d=m/v

6 g / 24 mL

0.25 g/mL

both (g) and mL were only used once so the answer includes both of them

The number of different committees that can be formed is 495

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

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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Answer:

i dont no hindi ko alam eh

Step-by-step explanation:

-Given

-4

-Divison Property Of Equality

-3

Required value of (1513÷3) is 504R1.

What is division?

Division is the opposite of multiplication. If 3 groups of four are multiplied by 12, 12 divided into three equal groups gives 4 in each group.

The main purpose of distribution is to see how many equal groups are formed or how many are in each group in a fair distribution.

In the above example, to divide the 12 donuts into 3 similar groups, you need to put 4 donuts in each group. So, 12 divided by 3 is 4.

Here given two digits are 1513 and 3.

We want to find value of 1513 ÷ 3.

Now,

\(1513 ÷ 3 = \frac{1513}{3} = 504 R1\)

Therefore, the quotient is 504 and the remainder is 1.

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A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.

These are the specified parameters:

English = 26

Science = 24

Music = 25

English but not science = 17

Science and music = 11

English and music = 14

Took all theree = 4

Lots of students took English and science

Look at the venn diagram in the attachment.

26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135

x + 92 = 135

x = 135 - 92

x = 43

Lots of students took English and science, but not music

= x - 4

= 43 - 4

= 39

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Answer:

-8.4

Step-by-step explanation:

-8.4

     .........................................................................................................................

Given the operation:

You need to follow these steps in order to solve the exercise:

1. Multiply signs by applying the Sign Rules for Multiplication:

Then:

2. Subtract the numbers:

3. Round it to the nearest tenth:

- Notice that the digit to the right of the digit in Tenth Place is:

- Since:

You must round down. The digit in the Tenth Place (7) stays the same:

4. Round the result obtained in Step 2 to the nearest hundredth;

- Notice that the digit to the right of the digit in Hundredths Place is:

- Since:

The digit in the Hundredths Place (3) stays the same:

Hence, the answers is (the results rounded are separated by a comma):

Answer:

25

Step-by-step explanation: just like that

Answer:7m = 7m

Step-by-step explanation:

Answer:

p < 7

Step-by-step explanation:

Answer:

x = -24ySimplifying

15y + (x + 9y) = 0

Remove parenthesis around (x + 9y)

15y + x + 9y = 0

Reorder the terms:

x + 15y + 9y = 0

Combine like terms: 15y + 9y = 24y

x + 24y = 0

Solving

x + 24y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24y' to each side of the equation.

x + 24y + -24y = 0 + -24y

Combine like terms: 24y + -24y = 0

x + 0 = 0 + -24y

x = 0 + -24y

Remove the zero:

x = -24y

Simplifying

x = -24y

Step-by-step explanation:

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer: The horizontal axis is = 7 s per division

Answer:

x = 53° + 45°

= 98° is the answer

\(\huge\bold{Given :}\)

Angle GFH = 53°

Angle FHG = 45°

Angle FGA = \(x°\)

\(\huge\bold{To\:find :}\)

The value of \(x\).

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf {\:x°\:=\: 98°}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

∠ FGA = ∠ GFH + ∠ FHG

➪ \(x°\) = 53° + 45°

➪ \(x°\) = 98°

Therefore, the value of \(x\) is 98°.

(Note: Kindly refer to the attached file.)

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}\)

Answer:

55°

Step-by-step explanation:

if angle 4 = 105°, then angle 3 must be 180 - 105 = 75° (angles in straight line add up to 180°).

angles in a triangle also add up to 180°.

so we expect angle 2 to be 180 - angle 6 - angle 3

= 180 - 50 - 75

= 55°.

Answer:

vertices in total will coincide = 1174/2 = 587

Step-by-step explanation:

1st polygon: 1174 sides, 1174 vertex, arc for between 2 vertex= 360°/1174 (arc1)

2nd polygon: 2935 sides, 2935 vertex, arc for between 2 vertex= 360°/2935 (arc2)

360°/1174 = (360°/2935) x (5/2)  (every 2.5 arc2 = 1 arc1)

It means every 5 arc2 = 2 arc1, this is the 2nd vertex coincide

vertices in total will coincide = 1174/2 = 587

check: 2935/5 = 587

Answer:

twice the difference gives 2(difference). 7 = 14  20 = 40

Step-by-step explanation:

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

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