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question:
A gallon of milk cost $2.79 in the year 2000. In 2015, it cost $3.98. What is the percent of change of the gallon of milk from 2000 to 2015?

________ ( round your answer to the nearest tenth)


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Answer:

\(0\leq d\leq 7\)

Step-by-step explanation:

\(11.79=11(1.01^d)\\1.01^d=\frac{11.79}{11} \\1.01^d=1.0718\\ln(1.01^d)=ln(1.0718)\\d ln(1.01)=ln(1.0718)\\d=\frac{ln(1.0718)}{ln(1.01)} \\d=\frac{0.069}{0.0099} \\d=6.9696\)

By rounding up.

d=7

Hence, the domain is

\(0\leq d\leq 7\)

Answer:

0<x<d

its so easy if you need help

let the number of sweets with Angela be " x "

and , let the number of sweets with Sabrina be " 3x "

Then ,

\(\bold{x + 3x = 60} \\\\\bold{ 4x = 60} \\\\\bold{ x = \cancel \frac{60}{4}} \\ \\\fbox\pink{ x = 15}\)

Hence ,

number of sweets with Angela = 15

number of sweets with Sabrina = 3(15) = 45

hope helpful~

Answer:

8 ft², 21.8ft², and 11.2ft²

Step-by-step explanation:

Answer:

twice the

Step-by-step explanation:

hope it helps you

The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Since the line segment PQ is tantgent to the circle, then the angle mTherefore we know that the angle OQR has to be 30°. This is shown in the figure:

Now, we know that the sum of all the internal angles of a triangle must be 180°, then for the triangle RQP we have:

For the triangle OQR we have

and for the triangle OQP we have

Summing up we have the system

At first glance we see that this system hava more unknown variables than equations, but we have to notice that the angles alpha and gamma are supplementary, then

1) The length of the rectangle is 15 feet and its width is 9 feet.

2) The admission price for an adult ticket is $10 and a student ticket is $6.

1) We shall use the formula for the area of a rectangle to find the length and the width:

A = l * w

where:

A = Area.

l = length

w = width.

Given:

l = 6 feet more than the width.

A = 135 feet square meter

First, we write an equation for the area like this:

(w + 6) * w = 135

Expanding the equation:

w² + 6w - 135 = 0

Next, solve the quadratic equation by factoring:

(w - 9)(w + 15) = 0

So either w - 9 = 0 or w + 15 = 0. This means that either w = 9 or w = -15. Since the width cannot be negative, we have w = 9.

Finally, we shall find the length since we know the width. This can be done by using the fact that it is 6 feet more than the width:

l = w + 6 = 9 + 6 = 15

So, the length is 15 feet and the width is 9 feet.

2) We can find the admission price for an adult ticket and a student ticket by using Mathematical operators:

Let,

a = an adult ticket price

s = a student ticket price

From the given information, we get these equations:

5a + 11s = 116

3a + 4s = 54

Next, solve by substitution.

Solving for 'a' in the second equation:

a = (54 - 4s) / 3

Then, substitute the second expression for 'a' into the first equation:

5((54 - 4s) / 3) + 11s = 116

Multiply both sides by 3:

5(54 - 4s) + 33s = 348

Finally, expand and simplify:

270 - 20s + 33s = 348

13s = 78

s = 6

So, a student ticket costs $6.

Plug this value into either equation to get the adult ticket price:

3a + (4 * 6) = 54

3a + 24 = 54

3a = 30

a = 10

So, an adult ticket costs $10.

Therefore,

1) The length of a rectangle is 15 feet and the width is 9 feet

2) The admission price for an adult ticket is $10 and that of a student is $6

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Answer:

5

Step-by-step explanation:

Answer:

step 5 is incorrect

Step-by-step explanation:

14+9=23

Okay, here we have this:

Considering the provided figures, we are going to find the missing angles, so we obtain the following:

Remember that the sum of all the angles of any triangle is equal to 180°, so we have:

m∠A+m∠B+m∠C=180° ----> 30°+52°+m∠C=180° ----> m∠C=180°-82° -> m∠C=98°

m∠D+m∠E+m∠F=180° ----> 22°+50°+m∠F=180° --> 72°+m∠F=180° -> m∠F=108°

Answer:

`298,483

Step-by-step explanation:

Answer:

a)800

b)1200

c)300

Step-by-step explanation:

2+3=5

2000/5= 400

Answer:

a=$800 . b=$1200 . c=$300

Step-by-step explanation:

2000/5=400

400x2=800

400x3=1200

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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Answer:

70

Step-by-step explanation:

The non-labeled side (next to 130) has to be supplementary to the angle outside, hence it has to be 50. Since all the sides of an angle must add up to 180, we can subtract 60+50 to get 70. Hope this helps!

Answer:

70°

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.

130 = x + 60

x = 70

Answer: 70°

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

Quadrilateral: 20.5 units

Triangle: 8.6 units

Step-by-step explanation:

Quadrilateral:
We can use the following formula to find the perimeter of a quadrilateral.

Perimeter = AB + BC + CD + DA

where AB, BC, CD, and DA are the lengths of the four sides of the quadrilateral.

In your case, the coordinates of the vertices of the quadrilateral are A(-3,-1), B(-3,3), C(2,3), and D(4,-1).

Using the distance formula, we can find the lengths of the four sides of the quadrilateral as follows:

\(AB = \sqrt{(-3 - (-3))^2 + ((-1) - 3)^2} = \sqrt{16} = 4\)

\(BC = \sqrt{(-3 - 2)^2 + ((3) - 3)^2} = \sqrt{25}= 5\)

\(CD = \sqrt{(2 - 4)^2 + ((3) - (-1))^2} = \sqrt{4+16} = 2\sqrt{5}\)

\(DA = \sqrt{(4 - (-3))^2 + ((-1) - 1)^2} = \sqrt{49} =7\)

Therefore, the perimeter of the quadrilateral is:

Perimeter = AB + BC + CD + DA

= \(4+5+2\sqrt5+7=20.5\) units

Triangle

The perimeter of a triangle is the total length of all three sides of the triangle. To find the perimeter of a triangle, we can use the following formula:

Perimeter = AB + BC + CA

where AB, BC, and CA are the lengths of the three sides of the triangle.

In your case, the coordinates of the vertices of the triangle are

E(-4,1), F(-2,3), and G(-2,4). Using the distance formula, we can find the lengths of the three sides of the triangle as follows:

\(EF = \sqrt{(-4 - (-2))^2 + ((1) - (3))^2} = 2\sqrt{2}\)

\(FG = \sqrt{(-2 - (-2))^2 + ((3) - (4))^2} = 1\)

\(EG = \sqrt{(-4 - (-2))^2 + ((1) - (4))^2} = \sqrt{4 + 9} = \sqrt{13}\)

Therefore, the perimeter of the triangle is:

Perimeter = EF + FG + EG

= 4 + 1 + \(\sqrt{13}\)

=8.6 units

Therefore, the perimeter of the quadrilateral is 20.5 units and the perimeter of the triangle is 8.6 units

remember that coordinates indicate how many you should move on the x and y axis, first number moves on the x axis and second number moves on the y axis.

after the reflection

Answer:

3√5 miles

Step-by-step explanation:

We are given the formula as;

d = √(3h/2)

Wyatt:

His eye level is 120 ft above sea level, so;

h = 120 ft

Hence;

d = √(3 × 120/2)

d = √180

d = √(36 × 5)

d = √36 × √5

d = 6√5 miles

Shawn:

His eye level is 270 ft above sea level, so;

h = 270 ft

d = √(3 × 270/2)

d = √405

d = √(81 × 5)

d = √81 × √5

d = 9√5 miles

So to find how much farther Shawn can see to the horizon, we'll subtract the value of d of wyatt from that of shawn.

Thus;

Shawn - Wyatt = 9√5 - 6√5 = 3√5 miles

Answer:

the answer  b

Step-by-step explanation:

Using the given linear function, it is found that Avery was 7 kilometers above sea level before she started climbing.

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, her altitude in kilometers after t hours is modeled by:

A(t) = 7 + 1.3t.

The y-intercept is of b = 7, which means that Avery was 7 kilometers above sea level before she started climbing.

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Answer:

37.26

Step-by-step explanation:

To solve this all you have to do is substitute 8.1 for r! That gives you the equation of 8.1*4.6, which equals 37.26!

The statistical questions are:

A statistical question is a question that can be answered by collecting and analyzing data. It is a question that expects a variability in the response, meaning different individuals may give different answers. Statistical questions usually ask about a population, a group of individuals or objects that share a common characteristic or feature, and seek to understand a pattern or trend within that population.

In general, a statistical question is open-ended, does not have a single correct answer, and requires data analysis to arrive at a reasonable conclusion.

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Answer:

Yes, you're correct.

Step-by-step explanation:

Answer:

69.3 years

Step-by-step explanation:

use the equation 2=e^0.01t, then solve for t.

The required time at which the population of the town gets doubled is  69.3 years.

Given that,
The population of a town is growing uninhibited at a rate of 1% per year. how long would it take the population to double is to be determined.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
For exponential growth,
the equation is given as,
a = A (1 + 0.01)ˣ
For a = 2A, time x is to be determined,
2A = A (1.01)ˣ
1.01ˣ = 2
x = log2/log1.01
x = 69.3 years

Thus, the required time at which the population of the town gets doubled is  69.3 years.

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Answer:

2x bigger

Step-by-step explanation:

because if you split the rectange in half, it would be 2x?

Answer:

1. A      2. A? I think.      3. C

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

You can find this by using the \(\frac{y_2-y_1}{x_2-x_1}\) formula.

Plugging in the numbers, you'd get \(\frac{-2-3}{2-(-3)} = \frac{-2-3}{2+3} = \frac{-5}{5} = -1\)

Thus, the cardinal number of the set E is found to be: N(E) = 6.

A cardinal number describes or expresses how many of anything are present.

So all natural numbers are often refereed to as cardinal numbers. Cardinal numerals have been used for counting. When an ordinal number is an integer that represents the location or place of an object.

The description of a cardinal number is really a number that is used to express quantity in whole numbers. Decimals and fractions are not regarded as cardinal numbers. Natural numbers and numbering numbers constitute cardinal numbers. Each of them is a positive integer.

Given data:

N(CxE) = 18

C = {4, 5, 6)

In which N is the cardinal number, that is the total elements present in the set.

So,

N(C) = 3

Given that: N(CxE) = 18

The formula for the Cartesian product is:

N(CxE) = N(C) * N(E)

18 = 3* N(E)

N(E)  = 18 /3

N(E) = 6

Thus, the cardinal number of the set E is found to be: N(E) = 6.

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Complete questions:

Find N(E), Given That N(CxE) = 18 And C = {4, 5, 6).

Α. 6

B. 9

C. 3

D. 5