7) The table below is a farmer's recording of sunflower blooms based on the amount of seeds planted in his garden.Seeds Planted24364860Blooms9182736Which of the functions below models the number of sunflowers that bloomed, given the number of seeds planted?ОАf(x) =3Ов3X4-X + 9OD2x-9

Answer:

20 for both

Step-by-step explanation:

hope this helps

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

a) To find the initial amount of this substance

At t=0, we get

We know that e^0=1 ( anything to the power zero is 1)

we get,

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

Taking natural logarithm on both sides we get,

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

The amount of substance will be present around in 2500 years is 0.000585 grams

The triangles are similar by SSS congruence of triangles.

What is SSS congruence of triangles?

The two triangles are congruent if the three sides of one triangle are the same as the corresponding three sides (SSS) of the other triangle.

We are given two triangle ABC and PQR.

In order to see whether these are similar or not, we will use the SSS congruence of triangles.

The ratio of sides are:

⇒AB : PQ = 8 : 6

⇒AB : PQ = 4 : 3

Similarly,

⇒BC : QR = 12 : 9

⇒BC : QR = 4 : 3

Similarly,

⇒AC : PR = 12 : 9

⇒AC : PR = 4 : 3

Since, the ratio of all the sides is same so, the triangles are similar.

Hence, the triangles are similar by SSS congruence of triangles.

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Since, there are multiple questions so, the question answered above is attached below

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:

15,103.05

Step-by-step explanation:

Total amount in the saving account after 5 years in which the  annual interest, compounded continuously, is $15,103.85.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{100n}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously.

The amount in account after 5 years can be calculated with the above formula as,

\(A=13000\times\left(1+\dfrac{3}{12\times100}\right)^{12\times5}\\A=15101.02\)

The total amount in the saving account after 5 years in which the  annual interest, compounded continuously, is $15,103..85.

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Answer:

no it all are wrong answer give your pelvis

Answer:

It seems to be correct if you had used the rules properly

For example, the 2 number power rule is used. Similarly, the 3 number quotient rule is used. I think that your answers are correct if you applied the rules properly.

Step-by-step explanation:

Anwser :

Y is 72

X is 108

Z is 18

Steps :

Y is the same angle as 72

180 - 72 = 108

90 - 72 = 18

Answer:

The answer is "A" i think not 100% sure

tell me if wrong

The value of 4 1/12 yards of fishing line from a new reel in inches is 162 inches.

It is important to note that 1 yard = 36 inches.

From the information, Kaitlin cut 4 1/12 yards of fishing line from a new reel.

This will be represented in inches as:

= 4 1/2 × 36

= 9/2 × 36

= 162 inches.

This represents the value in inches.

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Answer:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

Step-by-step explanation:

To solve this problem, we'll consider the velocities of the cruise ship and the Gulf Stream as vectors and calculate their components and resultant vector. Then we'll find the magnitude (resultant velocity) and direction (resultant direction) of the resultant vector.

Given:

Cruise ship velocity (south): 22 mph

Gulf Stream velocity (east): 4 mph

A) Vector component for the cruise ship:

The cruise ship is traveling south, so its velocity vector is (0, -22).

B) Vector component for the Gulf Stream:

The Gulf Stream is flowing east, so its velocity vector is (4, 0).

C) Resultant vector:

To find the resultant vector, we'll add the two velocity vectors together:

Resultant vector = Cruise ship velocity + Gulf Stream velocity

Resultant vector = (0, -22) + (4, 0)

Resultant vector = (0 + 4, -22 + 0)

Resultant vector = (4, -22)

D) Resultant velocity:

The magnitude of the resultant vector gives us the resultant velocity. We can use the Pythagorean theorem to calculate it:

Resultant velocity = sqrt((x-component)^2 + (y-component)^2)

Resultant velocity = sqrt((4)^2 + (-22)^2)

Resultant velocity = sqrt(16 + 484)

Resultant velocity = sqrt(500)

Resultant velocity ≈ 22.4 mph (rounded to the nearest tenth)

E) Resultant direction:

The direction of the resultant vector can be found using trigonometry. We'll use the inverse tangent function (arctan) to find the angle between the resultant vector and the positive x-axis.

Resultant direction = arctan(y-component / x-component)

Resultant direction = arctan(-22 / 4)

Resultant direction ≈ -1.405 radians or -80.5 degrees (rounded to the nearest tenth)

Therefore, the answers are:

A) Vector component for the cruise ship: (0, -22)

B) Vector component for the Gulf Stream: (4, 0)

C) Resultant vector: (4, -22)

D) Resultant velocity: Approximately 22.4 mph (rounded to the nearest tenth)

E) Resultant direction: Approximately -80.5 degrees (rounded to the nearest tenth)

In order to evalute this function, we must substitute x=-2 into the equation. It yields

By computing the porduct we have

which is equat to

Finally, the evaluations gives 5.

We got x = 16.54 by using Pythagorean theorem .

What is the Pythagorean theorem in plain English?

angle of semicircle is always be 90° .

   18² = 7.1² + x²

    324 = 50.41 + x²

     x² = 324 - 50.41

          = 273.59

    x = √ 273.59

    x = 16.54

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Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

The numbers 28 and 32 fulfill the composite proposition.

In logics, propositions are structures that contains itself a true value, it may be but not exclusively equations and sentences. Composite propositions are the result of combining at least two propostions with operators. In this case, we have the following propostion: A number is greater than 25 and less than 35.

This kind of proposition is true if and only if each simple proposition is true. Therefore, the numbers 28 and 32 fulfill the composite proposition.

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Answer:

84 inch

Step-by-step explanation:

A=base*height

A=12*7

A=84 inch

Answer:

bene cosa ti devo dire?

Step-by-step explanation:

Answer:

erm im i to late

Step-by-step explanation:

Answer:

500500

Step-by-step explanation:

intergers are whole numbers which are not fractions

the area of the windshield, cleaned by the windshield wiper is mathematically given as 0.096inche^2

This is further explained below.

The term "acute area of the windshield glazing" refers to the section of the windshield that measures eight and one-half inches by eleven inches and is located immediately in front of the driver's line of sight, as seen in the image.

Then, let's call the part of the windshield labeled "ABC" A.

\(A=\frac{1}{2} r^2 \theta\)

Now, substituting the given values we get,

\(\begin{aligned}&A=\frac{1}{2} r^2 \theta \\&A=\frac{1}{2} \times(7)^2 \times \frac{\pi}{180} \\\end{aligned}$$\)

A=0.4276

Then let the area of the windshield, ADE, be denoted by the letter A',

\(A^{\prime}=\frac{1}{2} r^2 \theta\)

Now, after replacing those values with the ones we were provided,

\(\begin{aligned}&A^{\prime}=\frac{1}{2} r^2 \theta \\&A^{\prime}=\frac{1}{2} \times(1)^2 \times 60 \times \frac{\pi}{180} \\&A^{\prime}=0.5236\end{aligned}\)

In conclusion, In order to calculate the area of the windshield, you need to take the difference between A and A'.

0.5236-0.4276=0.096

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Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer:

b

Step-by-step explanation:

The graph which represent the function f ( x ) = 4 [ x ] is graph B

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 4 [ x ]

And , function f(x) = 4[x] represents the greatest integer function, which returns the largest integer less than or equal to x

The graph of the greatest integer function consists of horizontal segments, with jumps at the integers. Since the function is multiplied by 4 in this case, the distance between the jumps will be 1/4 of the original distance.

Hence , the graph is Option B

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

0.875

Step-by-step explanation:

1/8 = 0.125
0.125 x 7 = 0.875

Answer: the answer is 1 because you are etimate

Step-by-step explanation:

Therefore option a) 5x+4 is the simplified form of the equation.

Equations in mathematics are logical statements with two algebraic expressions on either side of the equals (=) symbol. The equality of the expressions on the left and right in relation to one another is shown. LHS = RHS (left hand side = right hand side) is the first step in any mathematical equation. You can solve equations to determine a variable's or quantity's value. It is not an equation if the statement lacks the "equal to" sign. It will be thought of as a phrase. Later on in this essay, there will be an explanation of the distinctions between an expression and an equation.

Here,

Given:

=>(−3x − 12) + (16 + 8x)

=> -3x-12+16+8x

=> 5x+4

So 5x+4 is the simplified form of the equation

Therefore option a) 5x+4 is the simplified form of the equation

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Answer:

Length = 16 or -5 feet.

Width = 5 or -16 feet.

Step-by-step explanation:

Let the length of the concrete pad = l

Let the width of the concrete pad = w

Given the following data;

Area of concrete pad, a = 80ft²

Translating the word problem into an algebraic equation, we have;

\( l = 11 + w\)

We know that, the area of rectangle, A = length * width

\( A = l*w\)

Substituting the values into the equation, we have;

\( 80 = (11 + w)w\)

Expanding the bracket, we have;

\( 80 = 11w + w^{2}\)

\( w^{2} + 11w - 80 = 0\)

*Solving the quadratic equation by using factorization method*

\( w^{2} + 16w - 5w - 80 = 0\)

\( w(w + 16) - 5(w + 16) = 0\)

\( (w - 5)(w + 16) = 0 \)

Width, w = 5 feet or w = -16 feet.

Therefore, the width of the concrete pad is 5 feet or -16 feet.

To find its length, l;

\( l = 11 + w\)

When w = 5 feet

\( l = 11 + 5\)

Length, l = 16 feet

When w = - 16 feet

\( l = 11 + (-16)\)

\( l = 11 - 16\)

Length, l = -5 feet.

Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.