Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−3).

A. 32
B. 16
C. 40
D. 26

We know that the domain is actually the number of rolls that she gets because it is the input variable in the equation  f (r) = 40 r + 26. The number of rolls that she can get can never be a negative number nor a zero nor a decimal number. However she can only get up to 10 rolls. Therefore the answer is:

all integers from 1 to 10, inclusive

Answer:

all integers from 1 to 10 inclusive

Step-by-step explanation:

took the test and got it correct

Answer:

Price of Truck after 2 year = $ 19802.50

Step-by-step explanation:

Given: Price of truck = $ 25,000

           Price depreciate at rate of 11%  in a year

To find: Price of truck after 2 years

If we let Price of truck to be P = $ 25000

And Rate of deprecation to be R = 11%

And time to be n = 2

now by using formula of deprecation, we get

[tex]A=P\times(1-\frac{R}{100})^n[/tex]

[tex]A=25000\times(1-\frac{11}{100})^2[/tex]

[tex]A=25000\times0.7921[/tex]

A = $ 19802.50

Therefore, Price of Truck after 2 year = $ 19802.50

the 2 angles in each picture are the same - meaning they are congruent,

 so the answer is:

C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

Conjectures are simply opinions from a given information.

The conjecture that can be formed is: C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

From the three diagrams, we can see that:

From the figures above, we have the following observations

Hence, the conjecture that can be formed is: option (c)

Read more about conjectures at:

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Answer:

The correct answer should be figure 1 which is also attached in the solution.

Step-by-step explanation:

Reflection of any object is the mirror image of the object about any line or plane. Reflection always shows a congruent figure but inverted.

In first figure, triangle EFG makes a mirror image as triangle FGL. Here, EG is equal to GL, EF is equal to FL and angle E is congruent to angle L.

So, the figure obtained is congruent and inverted. Thus, triangles can be mapped to each other in single reflection in this image.

Figure 2 shows two congruent triangles but the reflection is not a mirror image as it should be inverted.

Figure 3 shows two congruent triangles but here they are aligned in a similar manner and not inverted. So, it is incorrect.

Figure 4 has inverted and congruent triangles but the axis about which the image is taken doesn't match with them. While reflection, they will not overlap each other and hence, it is incorrect.

Therefore, the correct answer should be figure 1 which is also attached in the solution.

For more details, refer the link:

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Answer:    

The situation is represented by the following inequality :

[tex]\bf 77\geq \frac{4}{5}\cdot t+ 5[/tex]

Step-by-step explanation:

Score earned by Jenny on her most recent test = 77

Let the Terrance's score is represented by t

[tex]\frac{4}{5}\text{ of the Terrance's score is = }\frac{4}{5}\cdot t[/tex]

If Terrance's score is 5 points greater then the points earned by Terrance's in the test is represented by :

[tex]\bf\frac{4}{5}\cdot t+ 5.......(1)[/tex]

Now, according to the given condition in the question , Jenny's score is not less than the score represented by (1)

⇒ Jenny's score is greater than equal to the score represented by (1)

Hence, The situation is represented by the following inequality :

[tex]\bf 77\geq \frac{4}{5}\cdot t+ 5[/tex]

Answer:

B

Step-by-step explanation:

The sign of the x-coordinate changes; the y-coordinate stays the same.

Answer:

C

Step-by-step explanation:

Its C just did the test

Answer:

D)14 units

Step-by-step explanation:

Just counts how many numbers you get from point A to B. Its pretty simple.

Answer:

The answer is D. 14 units

from -2 add 2 so you can get to 0 which gives you the 12 left add twelve on top of the two you already added and you get 14 units.

Step-by-step explanation:

Answer:

Since there is no cluster formed in the scatterplot, the two variables are not related. Therefore, based on the data shown in the scatterplot, the number of fish in a lake is not dependent on the size of the lake.

Step-by-step explanation:

The smallest natural number is 4 which is not prime.

Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Prime numbers are defined as any number that is any integer with exactly two factors 1 and the number itself. is said to be a prime number.

Given that

⇒ (1×2×3× . . . ×n) + 1

We have to determine the smallest natural number n, greater than 1, for which (1×2×3× . . . ×n) + 1 is not prime.

Here we substitute the value of n = 4 in the given expression,

⇒ (1×2×3×4) + 1

⇒ (24) + 1

⇒ 25

Therefore, the smallest natural number is 4 which is not prime.

Learn more about Natural Numbers here :

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Since we know that the two functions are equal, f (x) = g (x), therefore when we equate the two equations the result should be similar to 3x = x – 4:

A. f(x) = 3x, g(x) = x – 4

Equating the two functions:

3x = x – 4             (correct)

So we now got our answer (A)

Answer: 56

Step-by-step explanation:

Given: An astronomer wishes to measure on a photograph the distance between the image of a certain star and three other star images nearby.

The total number of images nearby = 8

The number of images chosen by astronomer = 3

Then, the number of choices  of the three stars without being in order is given by :-

[tex]^8C_3=\frac{8!}{3!(8-3)!}=\frac{8\times7\times6\times5!}{3!5!}=56[/tex]

Hence, he has 56 choices .

Final answer:

To evaluate the expression a³ - b/c for a = 3, b = 2, and c = 4, substitute the values and simplify to get 27 - 1/2, which equals 53/2 in simplest form.

Explanation:

To evaluate the expression a³ - b/c when a = 3, b = 2, and c = 4, you need to substitute these values into the expression and simplify.

Step 1: Substitute the given values. The expression becomes 3³ - 2/4.

Step 2: Calculate the power of 3. The expression is now 27 - 2/4.

Step 3: Simplify the fraction 2/4, which is equivalent to 1/2.

Step 4: The expression now reads 27 - 1/2.

Step 5: To subtract, convert 27 to a fraction which has the same denominator as 1/2. This gives us 54/2 - 1/2.

Step 6: Subtract the fractions which results in 53/2, which is the simplest form.

Answer:  The correct option is (B) 2044.

Step-by-step explanation:  We are given to find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024.

We know that

the n-th term of a geometric sequence with first term a and common ratio r is given by

[tex]a_n=ar^{n-1}.[/tex]

According to the given information, we have

[tex]a=4[/tex]

and

[tex]ar^{9-1}=1024\\\\\Rightarrow 4\times r^8=1024\\\\\Rightarrow r^8=\dfrac{1024}{4}\\\\\Rightarrow r^8=256\\\\\Rightarrow r^8=2^8\\\\\Rightarrow r=2.[/tex]

Therefore, the sum of the 9-term geometric sequence is given by

[tex]S_9\\\\\\=\dfrac{a(r^9-1)}{r-1}\\\\\\=\dfrac{4\times(2^9-1)}{2-1}\\\\\\=\dfrac{4\times(512-1)}{1}\\\\=4\times511\\\\=2044.[/tex]

Thus, the required sum of the 9-term sequence is 2044.

Option (B) is CORRECT.

ivied 1.45 by 33%

33% = 0.33

1.45 / 0.33 = 4.3939 ( 39 repeats)

Answer:

c

Step-by-step explanation:

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~

Sorry brainly kept of freezing on me...

Solving this is pretty simple, we plug in what t equals in both equations based upon our lovely given notice -4 ≤ t ≤ 4...

(My work will be attached below)

Now we will have to plot all the points we gathered onto our graph...

(The Graph will be attached below)

And there you are!

Answer:

B

Step-by-step explanation:

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