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Roman55 [17]
3 years ago
10

Please Answer !!let y=3t+6 be a linear function representing the distance from home for an ant t minutes after starting out from

a location near its home. what does the number 6 represent in this function?
A. The ant is moving 6 feet every 3 minutes
B. The ant is moving at 6 feet per minute
C. The ant is 6 feet from its home after t minutes
D. The ant started out 6 feet from its home
Mathematics
2 answers:
Agata [3.3K]3 years ago
4 0
D. Because the 3 is the rate and the 6 is what was already there.
dusya [7]3 years ago
4 0
The answer is D. The 3 represents moving 3 feet per minute and the 6 represents starting distance
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The correct answer is not listed
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One angle of a right triangle measures 25°. What is the measure of the other acute angle?
Olegator [25]

Answer:

65°

Step-by-step explanation:

If you add all the angles in a triangle, they equal 180°. You can subtract given angles to find missing angles.

Let's first subtract 25° from 180°. 180° - 25° = 155°.

This is a right triangle, so we know there is also a 90° angle. Also subtract this. 155° - 90° = 65°.

We are left with 65°. This is the measure of the third angle.

The triangle's angles are, 25° ; 90° ; 65°

6 0
3 years ago
Read 2 more answers
Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi
vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx

(a) For Trapezoidal Rule : Composite error is,

E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)||

\leq \frac{4(-3-3)^3}{12n^2}

=\frac{72}{n^2}

According to the question, we must choose n such that,

\frac{72}{n^2}

\implies n>424.2640686

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)

where, f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|

In this problem f^{(iv)}(x)=0, so that,

|E_S|\leq 0

that is there exist no error. So n=0.

6 0
3 years ago
Simplify.<br> 10 / 7 k + 11 / 7 - 2 k + 2/7 + 2/7 k -6
Nikolay [14]

As written, this is

\dfrac{10}{7}k+\dfrac{11}{7}-2k+\dfrac{2}{7}+\dfrac{2}{7}k-6=\left(\dfrac{10}{7}-2+\dfrac{2}{7}\right)k+\left(\dfrac{11}{7}+\dfrac{2}{7}-6\right)\\\\=\dfrac{10-14+2}{7}k+\dfrac{11+2-42}{7}\\\\=-\dfrac{2}{7}k-\dfrac{29}{7}

6 0
3 years ago
Find the first , fourth , and eighth terms of the sequence A(n) = -3 •2 ^x - 1
Usimov [2.4K]

Answer:

A(1) = -7

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Step-by-step explanation:

A(n) = -3.2 ^n - 1.....(1)\\\\Plug \: n= 1\: in \: (1)\\A(1) = -3.2 ^1 - 1 =-3.2-1= -6 -1  \\\huge\red{\boxed{A(1) = -7}}\\\\Plug \: n= 4\: in \: (1)\\A(4) = -3.2 ^4 - 1 =-3.16-1= -48 -1  \\\huge\purple{\boxed{A(4) = -49}}\\\\Plug \: n= 8\: in \: (1)\\A(8) = -3.2 ^8 - 1 =-3.256-1= -768 -1 \\\huge\orange{\boxed{A(8) = -769}}

5 0
4 years ago
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