A scale drawing of a rectangular
garden has a length of 4 inches and
a width of 2.5 inches. The scale is
1 inch:3 feet. What is the perimeter of
the actual garden in feet?

Step-by-step explanation:

Just :    5,8374

The ways to pack are

This is further explained below.

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

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The required equation for number of miles and years for the car is given as; y = 19000x + 41000

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The parameters are;

Suppose the year 2020 represents x = 0.

The distance travelled per year can be taken as the slope of the linear  equation. Thus, slope = 19000.

And, the distance travelled by January 1, 2020 is 41000.

This tells us that for x = 0, y = 41000.

The linear equation in slope intercept form is given as;

y = mx + c

where;

m is slope

c is y-intercept

Substitute the corresponding values in the above equation to obtain,

y = 19000x + c

At x = 0, y = 41000

41000 = (19000 × 0) + c

c = 41000

Now, the equation can be written as,

y = 19000x + 41000

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Answer:

84.37 %.

Step-by-step explanation:

The question is shown in the attached figure.

We have,

\(f(t)=2t^3+10,\ t=3\)

We can find the value of f(t) at t = 3,

\(f(3)=2(3)^3+10\\\\f(3)=64\)

Finding f'(t).

\(f'(t)=6t^2\)

Finding f'(t) at t = 3

\(f'(3)=6(3)^2\\\\=54\)

The relative change is calculated as :

\(\dfrac{f'(t)}{f(t)}=\dfrac{54}{64}\\\\=0.8437\)

In percentage rate of change,

\(\dfrac{f'(t)}{f(t)}=0.8437\times 100\\\\=84.37\%\)

Hence, the required percent change is 84.37 %.

For given  regression model, the number 59.89 in the table tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

In this question we have been given a summary of regression model.

We need to explain the meaning of the number 59.89 in the table.

For given regression model, to view the results of the model, we can use the summary() function in R programming.

In given summary consider the 'Coefficients' table.

The first row gives the estimates of the y-intercept, and the second row gives the regression coefficient of the model.

The 'Estimate' column is the estimated effect, also called the regression coefficient or r² value.

The number 59.89 in the table is coefficient for IsSandwich.

This number tells us that for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

Therefore, the meaning of the number 59.89 in the table: for every food item which is sandwich there is a corresponding 59.89-unit increase in Calories.

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The complete question is as shown in the following image

The function that represents the graph f(x) = -3|x| is f(x) = -3|x| - 5

How to find the function of the graph ?

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.

As it is already given in the question that the function

f(x) = -3|x|

We will use transformation rules to solve the given question

f(x)→f(x-a) ⇒ Graph shifted to right by a units

f(x)→f(x+a) ⇒ Graph shifted to left by a units

f(x)→f(x) - a ⇒ Graph shifted downwards by a units

f(x)→f(x) + a ⇒ Graph shifted upwards by a units

When it is translated 5 units down

Then we subtract 5 outside of the given function

∴ f(x) = -3 |x| - 5

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After the raise, Tyler's brother will make $14 x 1.05 = $14.70 per hour.

Answer:

14 x 1.05 = 14.70

Step-by-step explanation:

Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

The price of 12 inch bun purchased by Elinor is $5.32.

For the given question;

Elinor wanted to have a bun.

The cost of 18 inch hoagie bun is $7.99.

As there is only 12 inch bun present, the price of 12 inch bun is calculated by unitary method.

The price can be written as;

18  inch -------> $7.99

For 1 inch bun, divide both side by 18.

18/18  inch -------> $7.99/18

1  inch -------> $7.99/18

For 12 inch, multiply each side by 12.

12  inch -------> $7.99×12/18

12  inch -------> $5.32

Thus, the price of 12 inch bun is $5.32.

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The least common denominator of 8/( x²+11x+28 ) and -2/ (x^2+4x) is (x+4).

We have to find the least common denominator of 8/x²+11x+28 and -2/x^2+4x. We can solve this problem by following a few steps.

The denominator of both terms is, x²+11x+28 and x²+4x.

First of all, we have to find the factors of these two terms.

Let's find the factors of x²+11x+28.

x²+11x+28 = x²+11x+28

Or, x²+11x+28 = x²+ 4x+ 7x+ 28        [ we have to break the middle term in such a way as the product of consecutive terms must be 28 ]

Or, x²+11x+28 = x (x+4) +7 (x-4)        [ we have to take ( x+ 4) as acommon ]    

Or, x²+11x+28 = ( x+4 )( x+7 ).................(1)

Now find the factors of x²+4x.

x²+4x = x (x+4)..................(2)          [ We have to take x as a common ]

Therefore, the common term between (1) and (2) is ( x+4 ). So, the least common denominator is ( x+4 ).

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Answer:

The answer would be D. 14 cm block

Step-by-step explanation:

if you count all the blocks the you get 14. this is the total number of cm blocks.

Answer:

Step-by-step explanation:

each block is 1 cm³ and the figure has

bottom layer (2*3)cubes = 6 cubes

second layer (2*3)cubes = 6 cubes

third layer from down to up has 2 cubes

In all we have 6+6+2 = 14 cubes

V = 1cm³ * 14 cubes = 14 cm³

The measure of dispersion that measures how much the data differ from the mean is called the standard deviation.

Standard deviation is a statistical measure of dispersion as opposed to the measure of central tendency like mean, median and mode.

The standard deviation is a measure of how spread out data values are around the mean.

It is defined as the square root of the variance and represented with the Greek letter σ.

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Answer:

40

Step-by-step explanation: pls I need points make brainpy

The Answer Is:

$72.00

Answer:

(6,1)

Step-by-step explanation:

midpoint = ((x2+x1),(y2+y1)/2)

= (6+6)/2, (-5+7)/2

= 12/2, 2/2

= 6,1

Answer:

Step-by-step explanation:

x- coordinates same so the line is vertical and we'll only calculate the y-coordinate

So the point is

Answer:

Brand A  Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^

The survey is an illustration of expected value

132 people in the survey were in the 21 - 30 year old group

From the complete question, 22% of people are in the 21 - 30 year old group

Given that 600 people were surveyed.

The number of people in the 21 - 30 year old group would be:

n = 22% * 600

This gives

n = 132

Hence, 132 people in the survey were in the 21 - 30 year old group

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The volume of the cylinder is 1020.5 cu.yards .

A cylinder is a three dimensional figure , wit no vertices and edges , it as two similar circular bases and a curved surface.

It is given that :

Radius of the cylinder is 5 yards

Height = 13 yards

The volume of the cylinder is given by

V = π R²h

V = 3.14 *(5 *5) * 13

V = 1020.5 cu.yards

The volume of the cylinder is 1020.5 cu.yards .

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If Jana wrote the ordered pairs (2, 2), (4, 3), and (10, 6). The  ordered pair satisfies the same linear function is :C (20, 11).

To determine which ordered pair satisfies the same linear function as the given three ordered pairs, we can use the slope-intercept form of the equation for a linear function, which is y = mx + b, where m is the slope and b is the y-intercept.

First, we can find the slope of the linear function using two of the given ordered pairs. Let's use (2, 2) and (4, 3):

slope = (change in y) / (change in x)

slope = (3 - 2) / (4 - 2)

slope = 1/2

Now that we know the slope of the linear function is 1/2, we can use the point-slope form of the equation for a linear function to find the y-intercept:

y - y1 = m(x - x1), where (x1, y1) is one of the given ordered pairs and m is the slope we just calculated.

Let's use the ordered pair (4, 3) as (x1, y1):

y - 3 = (1/2)(x - 4)

y - 3 = (1/2)x - 2

y = (1/2)x + 1

Now we can substitute the x-coordinate of each of the answer choices into this equation to see which one gives us the corresponding y-coordinate:

For A (12, 8):

y = (1/2)x + 1

y = (1/2)(12) + 1

y = 7

So (12, 8) does not satisfy the same linear function.

For B (14, 7):

y = (1/2)x + 1

y = (1/2)(14) + 1

y = 8

So (14, 7) does not satisfy the same linear function.

For C (20, 11):

y = (1/2)x + 1

y = (1/2)(20) + 1

y = 11

So (20, 11) satisfies the same linear function.

For D (24, 16):

y = (1/2)x + 1

y = (1/2)(24) + 1

y = 13

So (24, 16) does not satisfy the same linear function.

Therefore, the answer is C (20, 11).

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A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.

The cost of purchasing bonds is $5062.50.

Option C is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the cost of purchasing municipal bonds, we need to calculate the total cost including the market value price and the commission charges.

The market value price of each bond is 1017, and we are purchasing five bonds,

So the total market value price is:

= 1017 x 5

= 5085

The commission charge per bond is $8, and we are purchasing five bonds, so the total commission charge is:

= 8 x 5

= 40

Therefore,

The total cost of purchasing the bonds is the sum of the market value price and the commission charge:

= 5085 + 40

= 5125

Thus,

The cost of purchasing bonds is $5062.50.

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A charge nurse is reviewing orthostatic hypotension with a group of newly licensed nurses. the statements should the charge nurse make is c) a decrease of 20 mm of Hg in the diastolic pressure with a position change indicates orthostatic hypotension.

Orthostatic hypotension — also called postural hypotension — is a form of low blood pressure that happens when standing after sitting or lying down. Orthostatic hypotension can cause dizziness or lightheadedness and possibly fainting.

Orthostatic hypotension can be mild. Episodes might be brief. However, long-lasting orthostatic hypotension can signal more-serious problems. It's important to see a health care provider if you frequently feel lightheaded when standing up.

Occasional orthostatic hypotension is usually caused by something obvious, such as dehydration or lengthy bed rest. The condition is easily treated. Chronic orthostatic hypotension is usually a sign of another health problem, so treatment depends on the cause.

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Answer:

60°

Step-by-step explanation:

If it a equilateral triangle

The equivalent expression to 5/8)⁻¹ × (0.42)²  is the expression

(1.6)(0.42)²

Equivalent expressions can be defined as expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

Generally, when two expressions are equivalent, they must be equal to one another. It can often be a simplification of the previous expression to give a resultant or concise value.

In the expression given;

(5/8)⁻¹ × (0.42)²

Taking the inverse of the first variable

(5/8)⁻¹ = 8/5

8/5 = 1.6

We can rewrite the expression as

(5/8)⁻¹ × (0.42)² = (1.6)(0.42)²

The expression (1.6)(0.42)² is equivalent to (5/8)⁻¹ × (0.42)²

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Answer and Step-by-step explanation:

A root is considered a real root if it is not an imaginary number (a number in the form of a + bi, where i is a number that is not on the real number line, hence the name: imaginary). Let's inspect the given polynomials.

1. (x-4)(x+3)^2(x-1)^3=0, the equation implies

x – 4 = 0 or (x + 3)^2 = 0 or (x – 1)^3 = 0, this gives:

x = 4

x = –3 twice

x = 1 thrice

They are all real numbers, therefore it has 6 real roots.

2. x^2(x^3-1)=0

x² = 0

x³ – 1 = x³ – 1³ = (x – 1)(x² + x + 1) = 0

The quadratic expressions gives 2 imaginary roots. To check this we can use the determinant formula.

D = b² – 4ac = 1² – 4(1)(1) = 1 – 4 = –3 < 0. This gives roots that are not real.

Therefore the real roots of this polynomial are: 0(twice) and 1. Hence, it has 3 real roots.

3. x(x+3)(x-6)^2=0

x = 0

x = 3

x = 6 twice

Thus, it has 4 real roots.

4. 3x(x^3-1)^2=0

3x = 0 and this gives x = 0

(x^3 – 1)² = [(x – 1)(x² + x + 1)]² = (x – 1)²(x² + x + 1)² = 0, only two roots are real here (the quadratic expression has unreal roots, therefore 1 twice are the real roots).

Therefore, this has 3 real roots.

5. (x^3-8)(x^4+1)=0

x³ – 8 = x³ – 2³ = (x – 2)(x² + 2x + 4) = 0

The only real root here is 2, the quadratic expression had imaginary roots and can be checked using the determinant formula

D = b² – 4ac = 2² – 4(1)(4) = 4 – 16 = – 12 < 0.

x⁴ + 1 = 0 has imaginary roots. Therefore, this polynomial has only one real root.

Answer:  0.85 km

Step-by-step explanation:

Since, Grace ran 0.6 kilometers during her first week of training and 0.25 kilometers during her second week of training. And we need to know what her total of kilometer are in all. All is a clue word that tells us to add.

Add.

0.6+0.25= 0.85 km

To answer this question, we can proceed as follows:

1. We can show the equations together as follows:

We can rearrange the second equation as follows:

1. Subtract 2x from both sides of the equation:

2. Subtract 2 from both sides of the equation:

And now, we end up with the following system of equations:

We add the two equations, and then we solve for y. Now we have that the value for y = 0. If we substitute this value in either given equation, we can find the value of x as follows:

And now we have that the solution for x is 1 ( x = 1).

Therefore, the solutions for the given system is x = 1, and y = 0 or (x = 1, y = 0).

[We can double-check the result using the two given equations:

First equation

Second equation

In both cases, the results are True. We have checked the result.]