1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Diano4ka-milaya [45]
3 years ago
15

PLEASE HELP RIGHT AWAY

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

95

Step-by-step explanation:

Week                Number of Beetles

0                               16

1                                16 + (16/4) = 20

2                                20 + (20/4 ) = 20 + 5 = 25

3                                25 + (25/4 ) = 25 + 6.25 ≈ 31

4                                31 + (31/4) = 31 + 7.75 ≈ 31+8 ≈ 39

5                                39 + (39/4) = 39 + 9.75 ≈ 39 + 10 ≈ 49

6                                 49 + (49/4) =  49+ 12.25 ≈ 49+12 ≈ 61

7                                 61 + (61/4) = 61 + 15.25 ≈ 61 + 15 ≈ 76

8                                 76 + (76/4) = 76 + 19 = 95

Hence there will be approximately 95 beetles by 8th week                  

You might be interested in
A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Ronch [10]
Refer to the attachment for the diagram of the problem.

Let us call the two identical sides of the isosceles triangle with s. Since we know that the hypotenuse measures 45 inches, we can find s by using the Pythagorean Theorem:
45^{2} = s^{2}+ s^{2}
45^{2} = 2s^{2}
45^{2} = 2s^{2}
1012.5 = s^{2}
s=31.82

We can notice that the figure will have similar triangles with the smaller triangle having one length equal to 5x. We then compute for the equivalent hypotenuse of the smaller triangle (denoted as y).
\frac{31.82}{5x} = \frac{45}{y}
y=7.07x

We can then solve for the value of x by applying the Pythagorean Theorem in the smaller triangle.
(7.07x)^{2} = (5x)^{2}+ (31.82-2x)^{2}
50x^{2} = 25x^{2}+ 1012.5-127.28x+4x^{2}
0= -21x^{2}-127.28x+1012.5
x=4.55,-10.61

We ignore the negative value since there is no negative side. x is therefore 4.55 thus the dimensions of the rectangle would be 22.75 and 9.1. For the other case, the dimensions would simply be inverted since we would be dealing with a rectangle with its width longer than its length.

6 0
3 years ago
Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o
REY [17]

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have 2-4 = -2. If we subtract the third and second terms, we have 1-2 = -1.

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

\dfrac{2}{4} = \dfrac{1}{2}

If we divide the third and second terms, we have

\dfrac{1}{2} = \dfrac{1}{2}

Finally, if we divide the last two terms we have

\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2



7 0
3 years ago
Jimmy threw a baseball in the air from the roof of his house. The path followed by the baseball can be modeled by the function f
erastovalidia [21]

Answer:

Step-by-step explanation:

The first part of A is easy. Look at the quadratic function, and the constant, the very last number with no t stuck to it represents the height from which the object in question was originally launched. Our constant is 40, so the height of the roof from which the baseball was thrown is 40 feet. Part 2 of A is not quite as simple because it requires factoring using the quadratic formula.Before we do that, let's make our numbers a bit more manageable, shall we? Let's factor out a -8 to get

f(t) = -(t^2-6t-5) and a = 1, b = -6, c = -5.

Filling in the quadratic formula now looks like this:

t=\frac{6+-\sqrt{6^2-4(1)(-5)} }{2(1)} and

t=\frac{6+-\sqrt{36+40} }{2} and

t=\frac{6+-\sqrt{56} }{2} so the 2 solutions are

t=\frac{6+\sqrt{56} }{2}=6.74sec and

t=\frac{6-\sqrt{56} }{2}=-.742sec and since we know time can NEVER be negative, the time it takes for the baseball to hit the ground from a height of 40 feet is 6.74 seconds. Onto part B.

In order to determine exactly how high the baseball did go, we have to find the vertex of the function. We do this by completing the square and getting the function into vertex, or work, form. Begin by setting the quadratic equal to 0, moving over the constant, and then factoring out the leading coefficient. The rule for completing the square are kinda picky in that you have to have a 1 as the leading coefficient, and righ now ours is a -8. So following the rules I stated above:

-8(t^2-6t)=-40 Next is the take half the linear term, square it, and then add it to both sides. Our linear term is a -6. Half of -6 is -3, and -3 squared is 9, so we add 9 into the parenthesis first:

-8(t^2-6t+9)=-40+??

Because this is an equation, we can't add 9 to one side without adding the equivalent to the other side. But, we cannot forget about that -8 sitting out front there, refusing to be ignored. We didn't just add in a 9, we actually added in a -8 times 9 which is -72. That's what goes on the right side in place of the ??.

-8(t^2-6t+9)=-40-72

The reason we complete the square is found on the left side of the equals sign. We have, in the process of completing the square, formed a perfect square binomial that will serve as the h in our vertex (h, k) where h is the number of seconds it takes for the baseball to reach its max height of k, whatever k is. That's what we have to find out. Putting the left side into its simplified perfect square binomial and adding the numbers on the right gives us:

-8(t-3)^2=-112

For the last step, add over the -112 and set it back equal to f(t):

-8(t-3)^2+112=f(t) From that we determine that the vertex is (3, 112). The max height of this baseball was 112 feet...so no, it did not make it up to the height of 120 feet that Jimmy wanted for the baseball.

6 0
2 years ago
2x+y=3 passes from origin. is this statement true or false
WINSTONCH [101]

Answer:

the answer is false.

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Xoxoxoxozooxoxoxoxoo
densk [106]
Ummm what? I don’t get it
7 0
2 years ago
Other questions:
  • If the area of an ice rink is 404 square yards, what is the perimeter of the rink?
    11·1 answer
  • Assume that when adults with smartphones are randomly​ selected, 46​% use them in meetings or classes. If 9 adult smartphone use
    8·1 answer
  • 20 POINTS, please help!!Factor the algebraic expression below in terms of a single trigonometric function.
    5·1 answer
  • **YOU WILL GET A THANKS, 11 POINTS, INCLUDING A HAPPY STUDENT**
    8·2 answers
  • The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If k is the next-highest integer that
    11·1 answer
  • A recipe calls for 2 1/2 cups of flour to make 2 dozen cookies. how many cups of flour would be required to bake 15 dozen cookie
    8·1 answer
  • Hey can someone help me with #8? I need to find the rate of change and idk where to get started
    13·1 answer
  • Please help! <br> find the equation (in terms of x) of the line through the point (-4,3) and (3,-2)
    13·2 answers
  • Multiply.
    9·1 answer
  • a man divides ₹90,000 among wife son and daughter in the ratio 1/3:1/4:1/6 . find amount received them​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!