A homeowner sections off part of her backyard for a vegetable garden. The width of the garden is 4 ft shorter than the length. The perimeter of the garden is 52 ft. What are the dimensions of the garden?​

The expression that shows how many comic books Tessa has is 14t

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

Tessa = t times as many as Joseph

Joseph = 14 comic books

These parameters means that

Tessa = t times Joseph

So, we have

Tessa = t * Joseph

Substitute the known values in the above equation, so, we have the following representation

Tessa = t * 14

Evaluate

Tessa = 14t

Hence, the expression is 14t

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Answer:

Step-by-step explanation:

obtuse.

Answer:

[tex]\dfrac{x}{3}+\dfrac{3}{y}[/tex]

Step-by-step explanation:

Given fraction:

[tex]\dfrac{xy+9}{3y}[/tex]

[tex]\textsf{Apply the fraction rule} \quad \dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}:[/tex]

[tex]\implies \dfrac{xy}{3y}+\dfrac{9}{3y}[/tex]

Rewrite 9 as 3 · 3:

[tex]\implies \dfrac{xy}{3y}+\dfrac{3 \cdot 3}{3y}[/tex]

Cancel the common factor y in the first fraction and the common factor 3 in the second fraction:

[tex]\implies \dfrac{x\diagup\!\!\!\!y}{3\diagup\!\!\!\!y}+\dfrac{\diagup\!\!\!\!3 \cdot 3}{\diagup\!\!\!\!3y}[/tex]

[tex]\implies \dfrac{x}{3}+\dfrac{3}{y}[/tex]

What equation to solve what problem?

Answer:

-27

(negative number)

Step-by-step explanation:

-b/2a = -(-16)/2(1) = 16/2 = 8

                       x       +          8

                 x   x^2                8x

                 +

                 8    8x                64

So we got 64, but 64 is not 37 so we need to change that by subtracting 27 from it.

64 - 27 = 37

So the final answer (in vertex form) is:

(x+8)^2 - 27

(-27) is the number being added

Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.

What is the cost?

The concept of cost is a key concept in Economics. It refers to the amount of payment made to acquire any goods and services.

Here given that,

Aarav has budgeted $ [tex]300[/tex] to spend on hanging planters and raised garden beds. Each hanging planter costs $ [tex]16[/tex], and a raised bed costs [tex]1. 5[/tex] times as much as a hanging planter.

So,

The total cash he used to buy the hanging planter is [tex]16(1.5)=24[/tex]$.

So, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.

Hence, the budgeted cost left in his saving is [tex]300-24=276[/tex] $.

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A. The temperature at noon will be 6°F.

B. The thing that represents zero in this situation is when the temperature is neither raised nor dropped and it's at the initial stage.

Temperature is the measure of how hot or cold something is expressed in terms of one of several scales, which include Fahrenheit and Celsius. The direction in which heat energy will spontaneously flow is indicated by temperature.

A. From the information, by 6:00 A.M., the temperature had dropped 4 F, and then the temperature raised 10 F by noon.

The temperature at noon will be:

= -4°F + 10°F

= 6°F

The temperature at 0 simply means the initial temperature.

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Answer: N = 5

Step-by-step explanation:

Answer: there will be 4/7 of 7/4 groups in 1. and for 3÷7/4=1.71428571429.

Step-by-step explanation: I hope this helps.

The given function in slope-intercept should be used to complete the table of values as follows;

x                     y

9                    4

6                    2

0                    -2

-3                   -4

A function that relates the distance (d) traveled to the time (t) is d = 120t.

A graph of the function is shown in the image attached below and it is a linear function.

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

Next, we would use the given function in slope-intercept to complete the table of values as follows;

When y = 9, the value of x is given by:

y = 3x/2 + 3

9 = 3x/2 + 3

3x/2 = 9 - 3

3x/2 = 6

3x = 12

x = 12/3

x = 4.

When y = 6, the value of x is given by:

y = 3x/2 + 3

6 = 3x/2 + 3

3x/2 = 6 - 3

3x/2 = 3

3x = 6

x = 6/3

x = 2.

When y = 0, the value of x is given by:

y = 3x/2 + 3

0 = 3x/2 + 3

3x/2 = -3

3x = -6

x = -6/3

x = -2.

When y = -3, the value of x is given by:

y = 3x/2 + 3

-3 = 3x/2 + 3

3x/2 = -3 - 3

3x/2 = -6

3x = -12

x = -12/3

x = -4.

Mathematically, a constant of proportionality (speed) for this train's journey (distance) can be represented with the following mathematical expression:

d = kt

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = d/t

Constant of proportionality (k) = 360/3

Constant of proportionality (k) = 120

Therefore, the required function that relates the distance (d) and time (t) is given by;

d = kt

d = 120t

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Answer:

f(4) = 99

Step-by-step explanation:

22 times 4 is 88, 88 plus 11 is 99.

Answer: A, B and C

Step-by-step explanation:

Step-by-step explanation:

Given any three side lengths of a right triangle, the longest side is the hypotenuse.

The side lengths  of a right triangle must satisfy the Pythagorean Theorem.

Pythagorean Theorem:

Option A:

True

Option B: 2.5, 6, 6.5

Option C:

Since all are true, the side lengths in Options A, B and C forms a right triangle,

Answer:

Side lengths a , b , c form a right triangle if, and only if, they satisfy a² + b² = c² . We say these numbers form a Pythagorean triple

Step-by-step explanation:

The equation that represent each situation, in terms of x, is

The number of monthly movies watched, x, that would make the two plans have an equal monthly cost is 6 movies.

Let

Plan A:

A = 19 + 0.50x

Plan B:

B = 13 + 1.50x

Equate A and B

19 + 0.50x = 13 + 1.50x

collect like terms

19 - 13 = 1.50x - 0.50x

6 = x

Hence,

x = 6 movies

In conclusion, the number of monthly movies watched to have an equal amount is 6 movies.

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Answer:

P(X > 2.6) = 0.0475 = 4.75%

Step-by-step explanation:

Let X is the random variable that represents percent of childhood asthma prevalence.

We want to find out the probability that the  mean childhood asthma prevalence for the sample is greater than 2.6%

The z-score corresponding to 1.67 is 0.9525

P(X > 2.6) = 1 - 0.9525

P(X > 2.6) = 0.0475

P(X > 2.6) = 4.75%

Therefore, there is 4.75% probability that the mean childhood asthma prevalence for the sample is greater than 2.6%

How to use z-table?

Step 1:

In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 1.6)

Step 2:

Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 1.67 then go for 0.07 column)

Step 3:

Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.

Answer:

y=-2/3x+2

Step-by-step explanation:

multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2

The zeroes for the given polynomial will be 1 and 3.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that the polynomial is, p(x)=2x⁴-8x³+6

[tex]=2x^4-8x^3+6 \\\\ =2\left(x^4-4x^3+3\right) \\\\ =2\left(x-1\right)\left(x^3-3x^2-3x-3\right) \\\\ 2(x-1)+x^2(x-3)-3(x-3) \\\\ x =1 \\\\ x = 3[/tex]

Thus, the zeroes for the given polynomial will be 1 and 3.

The question is incomplete the complete question is"Consider the polynomial p(x)=2x⁴-8x³+6

a. Graph p(x)=2x⁴-8x³+6, and find the real zero of polynomial p.

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The scatterplot that shows a negative correlation is graph (b)

In this question, the graphs represent the given parameter

From the graphs, we have the following observations

To determine the graph with a negative correlation, we make use of the following statements

From the list of options, we have

Graph (b) that shows increase - decrease relationship

Hence, the scatter plot is (b)

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The width of a rectangle when it's area is 36 square centimeter and it’s length 9 centimeter is 4vm.

From rte information, the rectangle is 36 square centimeter and it’s length 9 centimeter. It should be noted that the the area of a rectangle is calculated thus:

Area = Length × Width

36 = Length × Width

Width = 36 / Length

Width = 36 / 9

Width = 4.

The width of the rectangle is 4cm

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Complete question

A Rectangle is36 square centimeter and it’s length 9 centimeter. Fund the width.

Answer:

3

Step-by-step explanation:

LK is around half of AB, which is 6. Half of 6 is 3.

The domain of a function is the set of all possible input values that the function can take without breaking. In the case of f(x) = log(5x+10) + 3, the domain is all real numbers x such that 5x+10 is greater than 0. This is because the log function is not defined for values less than or equal to 0.

To find the domain of f(x), we need to solve the inequality 5x+10 > 0. We can do this by subtracting 10 from both sides of the inequality, which gives us 5x > -10. Dividing both sides by 5 gives us x > -2. Therefore, the domain of f(x) = log(5x+10) + 3 is all real numbers x such that x > -2.

If y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the condition is "If a number divided by 3 is increased by 38, the result is 96".

Let y be the unknown number.

The equation for the following word problem is,

y/3+38=96

The equation is solved in further steps,

(y+114)/3=96

y+114=96×3

y+114=342

y=342-114

y=228.

Thus, if y is the unknown number, the equation of the line for the given condition is y/3+38=96 and the value of y will be 228.

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The value of angle RPQ in the circle is 115 degrees.

The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.

If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

The angle is 115°.

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Answer:i is 20.1

Step-by-step explanation:

The simple interest on 1600 with a 6% interest rate for 2 years is $192.

The simple interest simply means the method that's used to calculate the interest that's charged on a loan or money given out.

In this situation, we want to calculate the simple interest on 1600 with a 6% interest rate for 2 years. This will be calculated thus:

Simple interest = Principal × Rate × Interest

Simple interest = $1600 × 6% × 2

Simple interest = $1600 × 0.06 × 2

Simple interest = $192

The interest is $192.

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Complete question

Calculate the simple interest on 1600 with a 6% interest rate for 2 years.

Step-by-step explanation:

What you are trying to do, it solve for the zeros of the rational function. To find the domain of composite function,

[tex] \frac{x}{x - 1} [/tex]

Substitute x/(x-1) for every x you see.

[tex] \frac{ \frac{x}{x - 1} }{ \frac{x}{x - 1} - 1} = \frac{x(x \\ - 1)}{1} = x(x - 1)[/tex]

We know that the function domain can not be 1, this functions works for all reals, so our domain is

All reals except 1.

Answer: [tex]\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]

Step-by-step explanation:

Given the points: (2, -3) and (-2, -6)

using the slope formula, lets calculate the slope,

[tex]\frac{-6+3}{-2-2} =\frac{3}{4}[/tex]

Using point-slope form lets solve,

[tex]y+3=3/4(x-2)\\\\\boxed{y=\frac{3}{4}x- \frac{9}{2} }[/tex]

Answer:

Equipamiento para 8 jugadores

Explanation:

Porque la diferencia de dinero no es muy grande ni muy pequeña, por lo que obtienes equipamiento para más jugadores a un buen precio.