When planning road development, the road commission
estimates the future population using the function
represented in the table, where x is the time in years and
f(x) is the total population.
What is the significance of 160,000 in the function?
the maximum population of the city
the expected population in 5 years
the initial population at the time of the estimation
the amount of increase in the population in years

The matrix R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

We have vertices shown in the picture.

Form a matrix using the vertices:

\(= \left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]\)

To reflect over the x-axis, multiply by the reflection matrix:

\(= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}-3&5&6\\7&3&-5\\\end{array}\right]\)

\(\rm R= \left[\begin{array}{ccc}-3&5&6\\-7&-3&5\\\end{array}\right]\)

The above matrix represent the reflection matrix.

Thus, the matrices R represents the reflection matrix for the provided vertices, and graph A represents the pre-image and the image on the same coordinate grid.

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Answer:

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively

Answer:

They are the same when they both buy 4.5 toppings.

Step-by-step explanation:

y = 0.75x + 3

y = 0.25x + 5.25

y = 0.75(4.5) + 3

y = 3.375 + 3

y = 6.375

y = 0.25(4.5) + 5.25

y = 1.125 + 5.25

y = 6.375

Graph below ----

                          |

                         V

Answer:

8 cm

Step-by-step explanation:

Th smaller rectangle is a scaled down version of the bigger rectangle. The smaller rectangle is 1/2 the size of the large one.

So we will multiply 4 by 2 to get 8 cm

Your correct answer is 8 cm :)

Hope this helps!

Please rate and mark brainliest!!

Have a great day!!

Answer:

the ratio of rectangle 1 the same with rectangle 2 so as you see in the photo the area of rectangle 2 equal 4×2 which we find it obviously of similar ratio

If $5 out of every $100 a worker earns goes for clothes, the worker spends $200 on clothes from a $4,000 annual wage.

To determine how much a worker spends on clothes from a $4,000 annual wage, we need to calculate 5% of that amount.

The worker spends $5 out of every $100 earned on clothes. This means the worker spends 5% of their earnings on clothes.

To find 5% of $4,000, we can multiply $4,000 by 0.05:

$4,000 * 0.05 = $200

This calculation is based on the assumption that the worker consistently spends 5% of their income on clothes throughout the year.

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Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

-5(x - 1) = 2x - 7x + 5

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

----------------------

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

The pH when [H+] = 2.6×10-6 M is 5.59. pH is a measure of the acidity or alkalinity of a solution and is defined as the negative logarithm (base 10) of the hydrogen ion concentration ([H+]).

To calculate the pH, we take the logarithm of the [H+] and then negate the result.

In this case, we are given that [H+] = 2.6×10-6 M. Taking the logarithm of 2.6×10-6 gives us -5.585. To obtain the pH, we negate this value, resulting in a pH of 5.59.

The pH scale ranges from 0 to 14, with values below 7 indicating acidity and values above 7 indicating alkalinity. A pH of 7 represents a neutral solution, where [H+] and [OH-] concentrations are equal.

In the given scenario, the [H+] concentration of 2.6×10-6 M corresponds to a relatively low acid concentration. The pH of 5.59 indicates a slightly acidic solution.

It is important to note that pH values are logarithmic, meaning that each whole number change in pH represents a tenfold change in acidity or alkalinity. Therefore, even small changes in pH values can signify significant changes in the hydrogen ion concentration and the acidity of a solution.

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Answer:

4,950 words

Step-by-step explanation:

a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a a

I did that in a minute, that's 330 and 330 times 15 is 4,950

Answer:

answer to question 1: 24

Explanation: (btw sorry i couldn't answer question 2) multiply 8 times 3 and you get the answer

The required group of number is 24 of 1/8 in 3.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given numbers are 1/8 and 3.

Let there are n number of groups of 1/8 in 3.

To find the value of number of groups n,

Use equation form,

1/8 n = 3

n = 3 x 8

n = 24.

There are 24 groups of 1/8 in 3.

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Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \(\overline{ED}\cong \overline{FD}\)

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\(\\ \overline{EF}\cong \overline{FD}\) (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\(\\ \overline{EF}\cong \overline{FD}\cong \overline{ED}\) (definition of equilateral triangle)

\(\overline{ED}\cong \overline{FD}\)

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\(\overline{CF}\cong \overline{CD}\) (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

Answer:

1,3,5

Step-by-step explanation:

right on edge 2022

The given statement "In scientific experiments, we measure a small number of items (a sample) and then attempt to infer the sample characteristics to the the entire population." is True. In scientific experiments, we often cannot measure an entire population, so we use statistical sampling to measure a smaller subset (a sample) and then try to generalize our findings to the entire population using statistical inference.

In scientific experiments, it is often not feasible or practical to measure the entire population. Instead, we collect a representative sample from the population and use statistical methods to infer the characteristics of the population from the sample.

This process is known as statistical inference. By carefully designing the sampling process and using appropriate statistical methods, we can make accurate and reliable inferences about the population.

Therefore, it is important to ensure that the sample is representative and unbiased and that the statistical methods used are appropriate for the data and research question at hand. The statement is true.

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Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

⠀

\(\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}\)

⠀

\(\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}\)

⠀

\(\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}\)

⠀

\(\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}\)

⠀

Therefore,

⠀

Henceforth ,

The mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

Inequalities are expressions that have unequal values, when compared

The inequality is given as

-4x > 120

When 4 is added to both sides, the inequality becomes

4 - 4x > 120 + 4

The above is not the solution to the inequality.

The solution is as follows:

We have:

-4x > 120

Divide both sides inequality by -4

x < -30

Hence, the mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

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Answer:

pi r^2

Step-by-step explanation:

Take the radius and square it (multiply it by itself) and then multiply by pi (3.14)

Answer:

A = πr²

Step-by-step explanation:

The area of a circle is equal to A = πr²

π = 3.14159 ...

       -> it is a value that goes on forever, most calculators will have a button for this, it is called "Pi" or "π"

r = the radius

       -> this is the distance of half the width of the circle. You can see the parts of a circle attached

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The number -17/20 belongs to the set of real numbers.

What is the set of real numbers?

The set of real numbers is made by combining the set of rational numbers and the set of irrational numbers. Real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers.

All real numbers, including fractions and decimals, are part of the set of real numbers.

The set of real numbers includes all numbers that can be expressed on the number line, including positive and negative numbers, as well as all fractions and decimals.

This set is often denoted by the symbol "ℝ".

Hence, The number -17/20 belongs to the set of real numbers.

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As per the mentioned informations, the cash paid for rent during 2014 is calculated to be  $395,000. So, the correct  answer is option (C) i.e. $395,000.

To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:

Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period

Substituting the values given in the problem, we get:

Cash paid for rent = $420,000 + $70,000 - $95,000

Cash paid for rent = $395,000

Therefore, it can be concluded that the correct answer is (C) $395,000.

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The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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The answer to this question is true. Trigonometric equations with multiple angles can have an infinite number of solutions.

Multiple angles in trigonometry refer to the angles that are multiples of the standard angles (0, 30, 45, 60, 90 degrees).

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Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.

To find the radius of the base, we can use the formula for the circumference of a circle: C = 2πr.

So, we have:

C = 29.516 feet

2πr = 29.516 feet

r = 29.516 / (2π) feet

r ≈ 4.698 feet

Now we can substitute the values of r and h into the formula for the volume of a cone:

V = (1/3)πr^2h

V = (1/3)π(4.698^2)(7)

V ≈ 216.75 cubic feet

Therefore, the volume of the sculpture is approximately 216.75 cubic feet.

Answer:

The square root of 58 is;

Explanation:

We want to find the square root of 58.

58 is not a perfect square.

The square root in decimal can be derived using a calculator;

The square root of 58 is;

Answer:

Step-by-step explanation:

Exponent law:

    \(\sf \bf a^m * a^n = a^{m+n}\\\\ (a^m)^n = a^{m*n}\)

    \(\sf a^{-m}=\dfrac{1}{a^m}\)

       First convert radical form to exponent form and then apply exponent law.

 \(\sf \sqrt{3}=3^{\frac{1}{2}}\\\\\sqrt{5}=5^{\frac{1}{2}}\)

\(\sf \left(\dfrac{(\sqrt{3}*3^{-2}}{(\sqrt{5})^2}\right)^{\frac{1}{2}}= \left(\dfrac{3^{\frac{1}{2}}*3^{-2}}{(5^{\frac{1}{2}})^2} \right )^{\frac{1}{2}}\)

                      \(= \left(\dfrac{3^{\frac{1}{2}-2}}{5^{\frac{1}{2}*2}}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{1-4}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{-3}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\dfrac{3^{\frac{-3}{2}*{\frac{1}{2}}}}{5^{\frac{1}{2}}}\\\\ =\dfrac{3^{{\frac{-3}{4}}}}{5^{\frac{1}{2}}}\)

Answer:

1.a 0.10

b 0.10

2. 1696.013

1696.0120

Step-by-step explanation:

Solution :-

3 (2x + 5) > -4x - 5

3 × (2x + 5) > -4x - 5

6x + 15 > -4x - 5

6x + 4x > -5 - 15

10x > -20

x > -20 / 10

x > -2

3(2x + 5) > -4x - 5

x

3(2x + 5) > -4x - 5

> 6x + 15 > -4x - 5

→ 6x + 4x > -5 - 15

→ 10x > - 20

→ x > -20 / 10

\( \bold{→ x > -2 }\)

____________________________________

Answer: Answer in picture

Step-by-step explanation:

Math

Answer:

y= -2/3x-3

Step-by-step explanation:

Answer: 5000000000..........

The function \(C(d) = 120(2)^{3d}\) can be expressed as \(C(d)=120(8)^d\)

An equation is an expression that can be used to show the relationship between variables and numbers.

Let C represent the number of cells in the organism after d days.

Given that:

\(C(d) = 120(2)^{3d}\)

Applying the law of exponents gives:

\(C(d) = 120(2^{3})^d\\\\C(d)=120(8)^d\)

The function is \(C(d)=120(8)^d\)

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