The computer downloads
1,680 kilobytes in 4
minutes. Find the unit rate.
6,720 26
420 kb
42 kb
672 kb

Answer:

t = -11 because if you add together the 6 and 5 it's 11 then

The constant term is the term without a variable or the term with the variable raised to the power of zero. In g(x) = 4x² + 5x + 2, the constant term is 2.

A polynomial function is a function where the coefficients (numbers in front of the variable) and the variable are raised to a whole number power.

Examples of polynomial functions are 4x² + 5x + 2, x³ + 2x² + 3x + 1, 10x⁴ - 3x² + 1.

A function is a polynomial function if: the variable has a whole number exponent or a zero exponent, the coefficients are constants, there are a finite number of terms in the expression and the terms are added or subtracted, but never divided. For example, the function

g(x) = 4x² + 5x + 2

is a polynomial function of degree 2, written in standard form, where the leading term is 4x², and the constant term is 2. To write a polynomial in standard form, arrange the terms so that the variable is in decreasing order of exponent.

For example,

g(x) = 5x + 4x² + 2 is not in standard form.

To write it in standard form, we arrange the terms in decreasing order of exponent, so

g(x) = 4x² + 5x + 2.

To determine the degree of a polynomial function, we look at the highest exponent in the polynomial function. The leading term is the term with the highest degree and its coefficient is called the leading coefficient. For example, in

g(x) = 4x² + 5x + 2, the degree is 2 and the leading term is 4x².

The constant term is the term without a variable or the term with the variable raised to the power of zero.

In g(x) = 4x² + 5x + 2, the constant term is 2.

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The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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The population of the city grew from 2010 to 2020 by 13.37%.

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

We have to given that;

In 2010, the population of a city was 237,000.

And, From 2010 to 2015, the population grew by 7.6%. From 2015 to 2020, it fell by 4.7%.

We know that;

Where, A = P (1+r)ⁿ

A = final population.

P = Initial population.

r = rate

n = time

Hence, The population in 2015 is, =

A = 237,000(1 + 0.076)⁵

A = 341829.629

And, The population in 2020 =

A = P (1 - r)ⁿ

A = 341829.629 (1 - 0.047)⁵

A = 268704.047

So, Percent grow = (268704.047 - 237,000) / 237,000 × 100

                           = 31704.047 / 237,000 × 100

                            = 13.37 %

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Volume of a Cylinder: In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.

The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.Step-by-step explanation:

I hope it helps

Answer:

c. Might not be congruent

There is No congruence between ABC and DEF.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

From the figure we have given that

<A = <D

<B = <E

<C = <F

As, all the angles are equal but there is no Criteria which have AAA congruence rule.

Thus, there is no Congruence.

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The correlation coefficient of Number of Rooms Y :-  Energy Consumption ΣX = 91 ΣY = 74 ΣX * Y = 718 ΣX2 = 895 ΣY2 = 584  

A correlation coefficient is a statistical measure of the strength of a linear relationship between two variables. Its value ranges from -1 to 1. A correlation coefficient of -1 indicates a perfect negative or inverse correlation. In this correlation, the values ​​of one series increase and the values ​​of the other series decrease, and vice versa. A factor of 1 indicates a perfect positive or direct relationship. A correlation coefficient of 0 means that there is no linear relationship.

Correlation coefficients are used in science and finance to assess the degree of association between two variables, factors, or data sets. For example, high oil prices favor oil producers, so one might expect the correlation between oil prices and futures returns on oil stocks to be very positive. Calculating the correlation coefficients of these variables based on market data shows moderate and inconsistent correlations over time.

          r = n(∑xy) -{(∑x) (∑y)} / √[n∑x² - (∑x)² ][n∑y² - (∑y)²]

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An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

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The average working hours of the employee is 5.7 hours per day.

To find the average working hours of the employee, we need to add up all the working hours for the 10 days and then divide by 10 (the number of days):

10 + 5 + 7 + 4 + 8 + 6 + 7 + 6 + 4 = 57

Now we divide by 10:

57 / 10 = 5.7

Therefore, the average working hours of the employee is 5.7.

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Answer:

Zero

Step-by-step explanation:

hint:  = |x-h| +v:

y = |x+2|+2

0=|x+2|+2

-|x+2|=2

|x+2| = -2

y=0

since y= 0, there is no x-intercept

Answer:

True

Step-by-step explanation:

7+25+33=(7+33)+25

Solve Parentheses

7+25+33=40+25

Combine Like Terms

65=65

Answer:

true

Step-by-step explanation:

7+25+33 =(7+33)+25

65=(40)+25

65 =65

The lateral surface area of the cone is 180.9 cm².

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

Lateral surface area = πr√(h² + r²)

Where:

3.14 x 6.4 x √(6.33² + 6.4²)

= 180.9 cm

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Answer:

x = -12

Step-by-step explanation:

-10x+1+7x=37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x+1-1 = 37-1

-3x = 36

Divide by -3

-3x/-3 = 36/-3

x = -12

Answer:

A and D

Step-by-step explanation:

so sorry im in school

x+y=4

 -y.  -y

x=4-y

4-y-y=2

4-2y=2

-4      -4

-2y= -2

/-2.   /-2

y=1

x+1=4

  -1 -1

x=3

so A and D is correct

Answer:

cylinder A is 141.3 meters

cylinder b is 245.5 meters

Step-by-step explanation:

Cylinder a: 3x3x5x3.14

cylinder B : 5x5x3x3.14

Answer:

$8

Step-by-step explanation:

To find 10% of a number, move the decimal point over by one. Since the number is a whole the decimal point looks like this    

$40.00

Move it once to get 10% which is 4. Then multiply it by 2 to get 20%.

The graph with two functions with the same end behavior is the bottom one.

The end behavior tell us how the function behaves as x tends to positive and negative infinity.

Now, let's look at the bottom graph on the given image.

You can see that the red graph goes up on the left side, and down on the right side.

And you also can see the same thing for the line, the blue graph,  goes up on the left side, and down on the right side.

So there we can see two graphed equations with the same end behavior, thus, that is the correct option.

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Answer:

87.4 sq ft   uncovered

Step-by-step explanation:

Total room area     - rug area

  (10 * 10)                - pi (2)^2 =

Answer:

11000

Step-by-step explanation:

I got this answer from g00gle

The correct answer is option (b) No, the statement does not represent an exponential function, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

An exponential function is a mathematical function in which the variable is in the exponent. Exponential functions follow the form f(x) = a^x, where a is the base and x is the exponent.

The given statement is h(t) = -4.9t² + 18t + 40, which does not represent an exponential function. The value of t is not in the exponent in this case. Instead, it's a quadratic equation, which is in the form of h(t) = at² + bt + c.

Therefore, the correct answer is option (b) No, the statement does not represent an exponential function.

Explanation:

An exponential function can also be represented by the general form y = ab^x, where b > 0 and b ≠ 1. When plotted on a graph, the curve of an exponential function rises or falls at an increasing rate, depending on whether b is greater than or less than 1, respectively.

A quadratic equation is an equation of the form ax² + bx + c = 0, where a ≠ 0, and x represents a variable. Quadratic equations are second-degree equations, which means the highest exponent of the variable is two.

Therefore, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

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Answer:

(f + g)(2) = 10, (h – g)(2) = –9, (f × h)(2) = –12, (h / g)(2) = –0.5Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

The given matrix is in row-echelon form, but it is not in reduced row-echelon form. The given matrix is:

2 0 0 0

0 1 1 6

0 0 0 0

To determine if it is in row-echelon form, we need to check the following conditions:

1. All rows consisting entirely of zeros are at the bottom: In the given matrix, the third row consists entirely of zeros and is located at the bottom, so this condition is satisfied.

2. The first nonzero entry in each row, called a leading entry, is always strictly to the right of the leading entry in the row above it: In the given matrix, the leading entry in the second row is 1, which is to the right of the leading entry in the first row (which is 2). So this condition is satisfied.

3. Any rows of all zeros are at the bottom: Again, in the given matrix, the third row consists entirely of zeros and is located at the bottom, satisfying this condition.

Therefore, the given matrix is in row-echelon form.

To determine if it is also in reduced row-echelon form, we need to check one additional condition:

4. Each leading entry is 1, and each leading 1 is the only nonzero entry in its column: In the given matrix, the leading entries are 2 and 1, which are not equal to 1. Therefore, the matrix is not in reduced row-echelon form.

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The length of the top surface is given by h(x) = 11x + 1.

Area is the amount of space occupied by a two dimensional object or figure. The area (A) of a rectangle is given by:

A = length * width

Let h(x) represent the width, hence:

66x² + 17x + 1 = (6x + 1)(11x + 1)

Since the width is g(x) = 6x + 1, hence the length = 11x + 1

The length of the top surface is given by h(x) = 11x + 1.

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The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

By using the concept of maxima, it can be calculated that

Volume is maximum if the radius of the cone is 40 cm

What is maxima of a function?

Maxima of a function gives the maximum value of the function on a certain interval or on the whole domain.

Let the height of the cylinder be h and radius be r

Sum of height and circumference = h + 2πr

By the problem,

h + 2πr = 60

h = 60 -2πr

Volume(V) = π\(r^2\) h

             = π\(r^2\)(60 - r)

             = 60π\(r^2\) - π\(r^3\)

\(\frac{dV}{dr} = 120\pi r - 3 \pi r^2\)

For maximum volume

\(\frac{dV}{dr} = 0\)

\(120\pi r - 3 \pi r^2 = 0\\\)

\(3 r^2 = 120 r\\3r = 120 [r \neq 0]\\r = \frac{120}{3}\\r = 40 \ cm\)

\(\frac{d^2V}{dr^2} = 120 \pi - 6 \pi r\\\)

Putting r = 40

\(\frac{d^2V}{dr^2} = 120 \pi - 6 \pi \times 40\\\frac{d^2V}{dr^2} =120\pi - 240 \pi\\\frac{d^2V}{dr^2} = -120\pi < 0\)

Hence Volume is maximum

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\(\frac{4n^{2t}-1 }{2n^{t}-1 } = \frac{4n^{2t}}{2n^{t}}=2n^{t}\)

ok done. Thank to me :>

Answer:

PEMDAS

Step-by-step explanation:

you can solve this, just remember pemdas

Answer:

17

Step-by-step explanation:

perform multiplication and division first, working from left to right, before doing addition and subtraction.

First solve parenthesis: (also solve 4^2)

4^2 + (10 - 2 × 3) ÷ 4

16 + (10 - 6) ÷ 4

16 + 4 ÷ 4

16 + 1

17