An architect designs a rectangular flower garden such that the width is exactly two-thirds if the length. If 240 feet of antique picket fencing are being used to enclose the garden, find the dimensions of the garden.

Answer: (rounded) 7.1 inches.

For this problem, you have to find the square root of 50, since in a square all sides are equal. When you find the square root, you get 7.071067...., but rounded this would be 7.1 .

Answer:

the answer is sevenm point one

Step-by-step explanation:

Answer:

The coordinates of the vertex of the graph are (-2, -9).

Step-by-step explanation:

The quadratic function is described by the standard equation   The graph of a quadratic function is called a parabola.

We have the quadratic function

We identify the coefficients a, b, and c. For this equation,

The axis of symmetry is , i.e.,  Thus, the statement in the question for the symmetry axis x = -2 is correct.

The vertex (or turning point) is  where   or

The parabola opens upward because a > 0, resulting in a vertex that is a minimum.

Finding the minimum value is as follows:

Therefore, the coordinates of the vertex of the graph are (h, k), i.e.,

Other components:

The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point

The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at

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Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270  

Finding the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) brainly.com/question/1332667

The midpoint brainly.com/question/3269852  

Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value

Answer:

the vertex of the graph is (-2, -9)

Step-by-step explanation:

The given function is:

[tex]f(x)=x^2+4x-5[/tex]

Given x = -2 is the axis of symmetry and because we know that the vertex of the graph lies on its axis of symmetry

=> coordinate of vertex is (-2, y)

When x= -2 we have

 [tex]f(-2) =(-2)^2+4(-2)-5\\<=> y=4-8-5\\<=> y=-9[/tex]

So the vertex of the graph is (-2,-9)

Answer:

1.) 2

2.) 3

3.) 2

4.) 3

Step-by-step explanation:

Answer:

5.24

Step-by-step explanation:

6.99-1.75 is 5.24.

Answer:

$5.24

Step-by-step explanation:

[tex]\begin{array}{rcr}\text{Original cost} & = & 6.99\\\text{Less coupon} & = & -1.75\\\text{Net cost} & = & \mathbf{5.24}\\\end{array}[/tex]

Answer:

The legs would be 15 & 8

Step-by-step explanation:

According to the Pythagorean theorem:

17² = a² + b²

289 = a² + b²

289 = 225 + 64

289 = 15² + 8²

The lengths of the two legs are 15 and 8.

Answer:

81

Step-by-step explanation:

since b is 9

do 9x9 which is 81

Answer:

=9

Step-by-step explanation:

7−(−2)

=7−(−2)

=7+2

=9

Answer:

-4 + 4

Step-by-step explanation:

because when you add a negative number with a positive number the sum will always equal 0

I am joyus to assist :)

Answer:

-4+4

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Distribute the 3 with the parenthesis to make the new equation -2=12x-9+5.

Combine like terms. -2=12x-4.

Move -4 to other side. -6=12x.

Divide by -6. x=-2

Answer:

y= -3,1,5

Step-by-step explanation:

actually the question is what are the values of y when x = -3,-1,1

Answer: -1=-1 ,1=1

You just need to plug it in to the graph.

Answer:

[tex]a \: \: x = \frac{ -1 ± i\sqrt{139}}{14} [/tex]

Explanation:

Since this is unfactorable, use the Quadratic Formula:

[tex]x = -b ± \frac{ \sqrt{ {b}^{2} - 4ac}}{2a} [/tex]

Now, take the information and input it:

[tex] -1 ± \frac{ \sqrt{1 - 4(7)(5)}}{2(7)} \\ \\ -1 ± \frac{ \sqrt{ -139}}{ 14} = \frac{-1 ± i\sqrt{139}}{14} [/tex]

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Answer:

9 ft

Step-by-step explanation:

you multiply side a by side b

so 3x3 = 9 ft

8 people received a Baseball Cap

12 people received a Coffee Mug

Hope this helped!

Answer:

1½

Step-by-step explanation:

[tex] \frac{1}{8}(12) = \frac{12}{8} = 1 \frac{4}{8} = 1 \frac{1}{2} [/tex]

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Anderson was unable to capitalize on her invention, and other companies were able to profit from her invention without paying her.

The sequence of events that explains why Anderson did not make any money from her patent is as follows:

The image of Mary Anderson and the First Windshield Wipers confirms this sequence of events. The image shows Anderson with a model of her windshield wiper invention. The text below the image states that Anderson "failed to sell her patent to any manufacturer" and that "her patent expired in 1920 without her making any money from her invention."

In addition to the information in the image, we can also infer that Anderson did not make any money from her patent because she did not have the business acumen or resources to bring her invention to market. She was a single woman with no business experience. She also did not have the financial resources to manufacture and market her invention on her own.

The domain of the heart rate function h(t) for a runner who completed a 10-mile run in 112 minutes is [0, 112] in interval notation.

In this scenario, the domain of the function h(t) is the time duration during which the runner is running. Thus, since the runner completed the 10-mile run in 112 minutes, the domain is from 0 (the start of the run) to 112 (the end of the run). We represent this in interval notation as [0, 112]. The square brackets indicate that the endpoints are included in the domain. So, the domain of the function h(t) in this context is [0, 112].

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Yes, it will! It will be the same because of the Commutative property. Hope this gives you your whole answer!

Answer:

[tex] \frac{x}{3} = 3[/tex]

Step-by-step explanation:

[tex] \frac{1}{3} ≠ 3; \: \frac{9}{3} = 3[/tex]

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Final answer:

The equation for which x = 1 is not a solution is x/3 = 3, as substituting x with 1 gives 1/3, which is not equal to 3.

Explanation:

To determine which equation x = 1 would not be a solution for, we need to substitute x with 1 in each equation and see if it holds true:

x/1 = 1: Substituting x with 1 gives us 1/1 = 1, which is true. Therefore, x = 1 is a solution.

x/2 = 2/4: Substituting x with 1 gives us 1/2 = 2/4, which simplifies to 1/2 = 1/2, also true. Hence, x = 1 is a solution.

x/3 = 3: Substituting x with 1 gives us 1/3 = 3, which is false, because 1/3 is not equal to 3. Therefore, x = 1 is not a solution here.

x/4 = 1/4: Substituting x with 1 gives us 1/4 = 1/4, which is true. Thus, x = 1 is a solution.

The equation for which x = 1 is not a solution is x/3 = 3.

Final answer:

The curved surface area of a cone with a radius of 15 cm and a slant height of 16 cm is 753.982 cm², calculated using the formula A = πrl.

Explanation:

The question asks for the curved surface area of a cone with a given radius and slant height. To find the curved surface area of a cone, we use the formula:

A = πrl

where A is the area, π is pi (approximately 3.14159), r is the radius, and l is the slant height of the cone.

Here, the radius (r) is 15 cm and the slant height (l) is 16 cm. Substituting these values into the formula, we get:

A = π × 15 cm × 16 cm

A = 3.14159 × 15 cm × 16 cm

A = 753.982 cm²

Therefore, the curved surface area of the cone is 753.982 cm².

Answer:

1) [tex]2,549,786\ people \approx3,000,000\ people[/tex]

2) [tex]3*10^6[/tex]

Step-by-step explanation:

1) To round a number to the nearest million, you must look at the digit located in the hundred thousands place. If this is greater than or equal to 5 you must round up, and if this is less than 5, you must round down.

In this case you know that the city has a population of [tex]2,549,786\ people[/tex].

You can notice that the digit located in the hundred thousands place is 5, therefore, you must round up:

[tex]2,549,786\ people \approx3,000,000\ people[/tex]

2) Scientific notation has the following form:

[tex]a*10^n[/tex]

Where "a" must be a number from 1 to 10 but not including 10 and "n" must be an integer.

To express [tex]3,000,000[/tex] in Scientific notation, the decimal point must be moved 6 places to the left; therefore, the exponent will be positive.

Then:

[tex]=3*10^6[/tex]

Step-by-step explanation:

Yes, I agree with her. If you multiply a number by .001 youll move the decimal point to the left 3 times. For example let's say 480. multiplied by .001. it will then become .480 or .48

Yes I agree I just did this in class

Answer:

After 5 years : ( n + 5 ) years !

Before 5 years : ( n - 5 )

Step-by-step explanation:

Given the age of Mary is n years old

After 5 years , She must be 5 years more from now so,

Her age will be ( n + 5 ) years after 5 years from now !

Also, 5 years ago she must be 5 years less than from now ,

So, her age 5 years ago was ( n - 5 ) years !

To represent Mary's age 5 years from now, the expression 'n + 5' is used. To represent her age 5 years ago, the expression 'n - 5' is used.

To represent Mary's age 5 years from now, we can use the expression n + 5. This is because we add 5 to her current age, represented by 'n', to find her age in the future.

To represent Mary's age 5 years ago, we can use the expression n - 5. This is because we subtract 5 from her current age, represented by 'n', to find her age in the past.

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Answer: -54

All you need to do is add the two together

Answer:

Step-by-step explanation:

-18 + (-36) =  -18-36 = -54

Answer:

Option 3 - five to the two thirds power

Step-by-step explanation:

Given : Expression 'the square root of 5 times the cube root of 5'.

To find : Simplify the expression ?

Solution :

Writing expression in numeric form,

The cube root of 5 means [tex]\sqrt[3]{5}[/tex]

The square root of 5 times the cube root of 5 means [tex]\sqrt{5\sqrt[3]{5}}[/tex]

Now, simplify the expression

[tex]\sqrt{5\sqrt[3]{5}}=\sqrt{5\times (5)^{\frac{1}{3}}}[/tex]

[tex]\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{1+\frac{1}{3}}}[/tex]

[tex]\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{\frac{4}{3}}}[/tex]

[tex]\sqrt{5\sqrt[3]{5}}=((5)^{\frac{4}{3}})^{\frac{1}{2}}[/tex]

[tex]\sqrt{5\sqrt[3]{5}}=(5)^{\frac{4}{3}\times \frac{1}{2}}[/tex]

[tex]\sqrt{5\sqrt[3]{5}}=(5)^{\frac{2}{3}}[/tex]

The expression is five to the two thirds power.

Therefore, Option 3 is correct.

The correct option is d. To simplify [tex]\(\sqrt{5} \cdot \sqrt[3]{5}\)[/tex], we get [tex]\(5^{5/6}\)[/tex]. Therefore, the correct answer is five to the seven sixths power.

To simplify [tex]\( \sqrt{5} \times \sqrt[3]{5} \)[/tex], we combine the radicals:

[tex]\[ \sqrt{5} \times \sqrt[3]{5} = 5^{1/2} \times 5^{1/3} \][/tex]

Using the property of exponents [tex]\( a^m \times a^n = a^{m+n} \)[/tex]:

[tex]\[ 5^{1/2} \times 5^{1/3} = 5^{1/2 + 1/3} \][/tex]

Now, find a common denominator for the exponents:

[tex]\[ \frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6} \][/tex]

Therefore,

[tex]\[ 5^{1/2} \times 5^{1/3} = 5^{5/6} \][/tex]

So, the simplified expression is [tex]\( {5^{5/6}} \).[/tex]

This corresponds to option (d) in your choices: five to the seven sixths power.

The complete question is- Simplify the square root of 5 times the cube root of 5.

a. five to the five sixths power

b. five to the one sixth power

c. five to the two thirds power

d. five to the seven sixths power

Answer:

Step-by-step explanation:

501

Answer:

Roots are complex numbers

Step-by-step explanation:

we know that

In a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex]

The discriminant is equal to  [tex]b^{2} -4ac[/tex]

If [tex]b^{2} -4ac=0[/tex] -----> The equation has only one real root

If [tex]b^{2} -4ac>0[/tex] -----> The equation has two real roots

If [tex]b^{2} -4ac<0[/tex] -----> The equation has complex roots

In this problem the discriminant is -8

so

-8 < 0

therefore

Roots are complex numbers

Answer:

A) There are two complex roots

Step-by-step explanation:

took the test

Answer:

0

Step-by-step explanation:

clearly this page is not in need of in answer it does not seem like a real equation you need help with.

Answer:

Step-by-step explanation:

Maybe if we defined a non terminating fraction first, a terminating one would make more sense to you.

non terminating means that it goes on forever.

1/3 = 0.3333333333333333333333333333333....333333333333333333...333

I/3 never really ends.

1/8 on the other hand had

1/8 = 0.125 as a value and that's all there is. We're done.

So a terminating decimal ends.

Answer:

Step-by-step explanation:

5 * 8y = 40y

8 * 5 = 40

40y - 40 IS equal to 40y - 40

Answer: no they are not

Step-by-step explanation: since the expression is in the parentheses you have to distribute the 8 amount 5y and 8 basically multiply 8 by he two numbers inside the parentheses 8(5y-8)

40y-64 is not equal to 40y -40

Answer:

-3.6

Step-by-step explanation:

Since 32.5 is greater than 28.9, you just subtract 32.5 from 28.9 then add an equal sign. 32.5-28.9=3.6. With the negative, it would be -3.6

The value obtained by making the subtraction operation is -3.6

To perform the subtraction operation, the right hand side value is taken away from left hand side value .

Here , we have;

We obtained a negative value because the right hand value is greater than the left hand value.

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