Rewrite the problem using fewer words. Leave out information that you do not need to solve the problem. Then solve the problem. For a science project, you record the high temperature each day. The high temperature on Day 1 was 6°less than on Day 4 and 4°less than on Day 10. The high temperature on Day 10 was 62°F. What was the high temperature on Day 1?

to find the number of plants in the pond at the time t we can use the equation N(t) = 150(3)^t.

        The equation that can be used to find the number of plants in the pond at time t, given that the number of plants is growing exponentially, is:

                      N(t)=ab^t.

         The given values in the table for the function N(t) are:

                      t  N(t)0  1501  450

         We can use these values to determine the values of constants a and b in the equation

                       N(t)=ab^t:

          Substitute t = 0 and N(t) = 150 in the equation

                      N(t)=ab^t.

          Then, 150 = a × b^0 → 150

                            = a × 1 → a

                            = 150

            Substitute t = 1 and N(t) = 450 in the equation N(t)=ab^t.

             Then, 450 = 150 × b^1 → b = 3.

     Now that we have found the values of a and b, we can write the equation that can be used to find the number of plants in the pond at time t as:  N(t) = ab^t = 150(3)^t.

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The following recurring decimal as a rational number are 1/2, 13/100 and 341 / 1000

A rational number is a number that is expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator such as;

3/4. where,

Therefore,

0.5

= 5/10

= 1/2

0.13

= 13/100

0.341

= 341 / 1000

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Answer:

d would be correct

Step-by-step explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times  base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.

Answer:

12%

Step-by-step explanation:

first subtract 12000 from 13440 which is 1440 which is the amount of sales tax. to find the rate you need to find at what percentage was multiplied by. I got 0.12 which means 12 percent sales tax.

Answer:

C(r) is the area of the base of a cylindrical tank with radius r.

We know that this area is:

C(r) = pi*r^2

S(x) is the area of the square base where x is the side length of the base.

S(x) = x*x

Now, we have the expression:

S( C(r)) wich means that we are evaluating the function S(x) in the point x = C(r)

Now, we have a problem here.

In S(x), S(x) is in units of area, and x is in units of length.

And the same for C(r), C(r) is in units of area, and r in units of length.

then we can not have x = C(r)

Then this expression does not represent anything, because the units do not match, so it has no physical sense.

The number of miles Donna can travel (in fraction) is 19/6 miles in 1/3 hours.

What is fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

The distance and time values are given in fractional form.

The speed at which Donna rides a bike is = 19/2 miles per hour

The time value is = 1/3 hours

The formula for speed is -

Speed = Distance / Time

Distance = Speed × Time

Substitute the values in the above equation -

Distance = 19/2 × 1/3

Distance = 19/6

Therefore, Donna can travel 19/6 miles.

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Place the correct numbers to form a fraction to answer the question. Donna rides her bike at a rate of 19/2 miles per hour. How many miles can Donna travel in 1/3 hour?

Answer:

ok i know this is correct %100 it is D

Step-by-step explanation:

this is because if u have 8/20 and reduce by four do divide 8 by four and 20 by four that would be 2/5!!

IF THIS HELPED PLZ GIVE ME BRAINIEST!!

Answer:

2 / 5

Step-by-step explanation:

8/20 simplifies to 2/5. Simply divide 8 and 20 by 4 and you get your simplified fraction.

To sketch the region enclosed by the curves y = x^3 - 4x and y = 12x and determine the appropriate method of integration. By evaluating the definite integral ∫[-4 to 4] (12x - (x^3 - 4x)) dx, we can calculate the area of the region enclosed by the given curves.

The curves intersect when x^3 - 4x = 12x. Simplifying this equation, we get x^3 - 16x = 0. Factoring out x, we have x(x^2 - 16) = 0, which gives us x = 0 and x = ±4 as the intersection points.

To determine whether to integrate with respect to x or y, we can observe that the region is vertically bounded by the curves. Therefore, we'll integrate with respect to x.

To find the area of the region, we'll integrate the difference of the upper and lower curves within the given bounds, from x = -4 to x = 4.

Now, for a more detailed explanation:

First, let's analyze the curves individually. The curve y = x^3 - 4x represents a cubic function, and y = 12x represents a linear function. By plotting these curves on a graph, we can observe that they intersect at three points: (0, 0), (-4, -48), and (4, 48).

To determine the enclosed region, we need to find the x-values at which the curves intersect. Setting the two equations equal to each other, we have x^3 - 4x = 12x. Rearranging this equation, we get x^3 - 16x = 0. Factoring out x, we have x(x^2 - 16) = 0, giving us x = 0 and x = ±4 as the x-values of intersection.

Since the region is vertically bounded by the curves, we'll integrate with respect to x. To find the area, we'll integrate the difference between the upper curve (y = 12x) and the lower curve (y = x^3 - 4x) within the bounds from x = -4 to x = 4.

By evaluating the definite integral ∫[-4 to 4] (12x - (x^3 - 4x)) dx, we can calculate the area of the region enclosed by the given curves.

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Answer:

the frequency with the largest amplitude Find the frequency w for which the particular solution to the differential equation dạy dy 2- + dt2 + 2y = eiwt dt ...

Step-by-step explanation: basically bigger is better

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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Answer: Based on the graph, I believe that the answer is a. x = -1/4, y = -1/2

Step-by-step explanation:

Answer:

lol

Step-by-step explanation:

The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).

Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.

Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).

Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).

Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).

To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.

(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)

Expanding this expression, you get:

(0+a+b, 1+a+b, 0+a, 0+b)

Simplifying, you obtain the following set of solutions:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Therefore, the correct set of possible results would be:

(0, 1, 0, 0)

(1, 2, 1, 0)

(1, 2, 0, 1)

Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.

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Fractional part of battery: B

t: hours

After 50 hours of use:

Substitute the t in the equation by 50 and evaluate:

a. The alternative hypothesis is that  mean number of pieces of candy in a bag is less than 20. b. The test statistic is -1.47. c. Since the P-value (0.078) is greater than  level of significance (α = 0.01), we fail to reject the null hypothesis.

(a) The alternative hypothesis is that  mean number of pieces of candy in  bag is less than 20.

\(H0: \mu = 20\\Ha: \mu < 20\)

(b) The test statistic is calculated as:

\(t = (x - \mu) / (s / \sqrt n)\)

\(t = (19.2 - 20) / (3.4 / \sqrt 25) = -1.47\)

(c) Assuming the null hypothesis is true. Since this is a left-tailed testwe need to find  probability of obtaining a t-value less than or equal to -1.47 .

Using a t-distribution table or calculator, we find that the P-value is approximately 0.078.

we fail to reject the null hypothesis.

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--The complete Question is, Suppose a candy company claims that their bags of candy contain on average at least 20 pieces of candy. A sample of 25 bags of candy was taken, and the number of pieces of candy in each bag was recorded. The sample mean was 19.2 pieces of candy with a standard deviation of 3.4 pieces of candy.

Conduct a test at the α=0.01 level of significance by determining ​(a) the null and alternative​ hypotheses, ​(b) the test​ statistic, and​ (c) the​ P-value. --

Answer:

1. Fact that all individuals are created equal and are endowed by their creator with certain unalienable rights is a clear statement in the Declaration of Independence.

2. Aim of having a government is to safeguard these rights,  the people have the right and the duty to alter, abolish, or over through that government.

3. The Decoration of Independence lists the grievances that the government has failed to resolve and reconcile with the colonies.

4. The decree was made to become an autonomous nation and the motives for asserting independence are listed in the grievances.

Answer:

Step-by-step explanation:

1/20 of 700:  1/20•700 = 35

700 + n•35 = 1050

n•35 = 350

n = 10

A meter is equal to 100 centimeters; therefore, 9 meters are equal to 9*100=900cm.

9 meters is the same length as 900 centimeters.

general equation of cubic polynomial is :

And we know the product of its roots is equal to

by equating the given equation with general equation,

we get :

therfore, the product of their roots :

Answer = 6

i hope it helped.....

Answer:

→ Let 2 consecutive numbers be

k and k + 1

→ Find the sum of these 'numbers'

2k + 1

→ Conclude statement

2 ( k ) + 1, as there is a remainder of 1, 2 consecutive numbers are always odd

Answer: To find the recursive formula of the geometric sequence -0.1, -0.5, -2.5, -12.5, we need to find the common ratio first.

The common ratio is found by dividing any term in the sequence by the previous term. Let's use the second and first terms:

Common ratio = -0.5 / (-0.1) = 5

So the recursive formula for this geometric sequence is:

C(1) = -0.1 (this is the first term)

C(n) = C(n-1) * 5

Therefore, the recursive formula is:

C(1) = -0.1

C(n) = 5C(n-1)

Step-by-step explanation:

Answer: 13.

Simply Count between Coordinates

Which Adds To 13.

Brainly Please.

The distance between point A and B is 13 units

A  number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.

As, per the number line given we have A at (-6) and B at (+7).

So, not considering the negative sign we have 6 at left of 0 and 7 at right side of zero in a number line.

So, the distance will be

= 6 +7

=13 units

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The sales tax rate for the item purchased was 5.5%

Using the parameters given for our calculation:

Tax amount = 94.95 - 90 = 4.95

Tax rate = tax amount / item cost * 100%

Tax rate = (4.95/90) * 100%

Tax rate = 5.5%

Therefore , the tax rate is 5.5%

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Answer:

A=28

B=18

C=18

D=28

E=28

F=18

G=10

H=5

Step-by-step explanation:

The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

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Answer:

x=180

Step-by-step explanation:

122 + 58 = x - 58 + 58 = 180 ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤ ㅤx=180

Answer:

x = 89. 98⁰

Step-by-step explanation:

tan(x) = 29/ 14

x = tan-¹ (29/14)

x = 89. 98⁰

Ight Imma head out because I have no idea what you're saying