153 = 9k HELP PLEASE THANK YOU

Answer:

$170.80

Step-by-step explanation:

Since it's $4.88 per yard, you could times that by 35, because she bought 35 yards of fencing.

Equation:

4.88(35)

   or

4.88x   x=35

I hope this helped! <3

Answer:

7330.36

Step-by-step explanation:

A = P (1+i)^n

n  = 4×5 = 20

i = 0.03075

12.3% / 4 = 3.075  × 1/100

= 0.03075

A = 4000 ( 1+ 0.03075 ) ^20

= 7330.36

Answer:

\(\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}\)

Step-by-step explanation:

The sine function is periodic, meaning it repeats forever.

\(\boxed{f(x) = A \sin (B(x + C)) + D}\)

where:

Given values:

Calculate the value of B:

\(\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16\)

Substitute the values of A, B C and D into the standard formula:

\(f(x) = 5 \sin (16(x + 0)) + 7\)

\(f(x) = 5 \sin (16x) + 7\)

Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:

\(\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}\)

Answer:

slope is 2.25 and y-int is 3

Step-by-step explanation:

the form for an equation is y=mx+b. m=slope and b=y-int so you can just take it out of the equation.

Answer:

slope is 0

y-int (0, 5.25)

Answer:

either

5 feet 4 inches more or

64 more inches

Step-by-step explanation:

Answer:

The plane is 388 miles far from the airport.

Step-by-step explanation:

We know that, the angle between southeast and south directions is \(135^\circ\).

The plane travels as per the triangle as shown in the attached image.

A is the location of airport.

First it travels for 210 miles southeast from A to B and then 210 miles south from B to C.

\(\angle ABC = 135^\circ\)

To find:

Side AC = ?

Solution:

As we can see, the \(\triangle ABC\) is an isosceles triangle with sides AB = BC = 210 miles.

So, we can say that the angles opposite to the equal angles in a triangle are also equal. \(\angle A = \angle C\)

And sum of all three angles of a triangle is equal to \(180^\circ\).

\(\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow \angle A+135^\circ+\angle A = 180^\circ\\\Rightarrow \angle A = \dfrac{1}{2} \times 45^\circ\\\Rightarrow \angle A =22.5^\circ\)

Now, we can use Sine Rule:

\(\dfrac{a}{sinA} = \dfrac{b}{sinB}\)

a, b are the sides opposite to the angles \(\angle A and \angle B\) respectively.

\(\dfrac{210}{sin22.5^\circ} = \dfrac{b}{sin135^\circ}\\\Rightarrow \dfrac{210}{sin22.5^\circ} = \dfrac{b}{cos45^\circ}\\\Rightarrow b = 210\times \dfrac{1}{\sqrt2 \times 0.3826}\\\Rightarrow b = 210\times \dfrac{1}{0.54}\\\Rightarrow b \approx 388\ miles\)

So, the answer is:

The plane is 388 miles far from the airport.

Answer:

2(6x+78)

Unless it's the exact number. You hadn't specified what x is.

The area of the unshaded region is 3x²-3x-8

What is area of rectangle?

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

The area of a rectangle is expressed as;

A = l× w

Area of the unshaded part = Area of the whole rectangle - area of shaded part

Therefore area of the unshaded part =

5x²+4x-8 -(2x²+7x)

= 5x²+4x-8 -2x²-7x

collect like terms

5x²-2x²+4x-7x-8

= 3x²-3x-8

therefore the area of the unshaded part is 3x²-3x-8

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Answer:

ibig sabihin nya ay ilang student ang nasa summer

Check the picture below.

Answer: The function given is f(x) = (x^2 + 8x + 7)/(x + 1).

The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined for all real numbers except for x = -1, because division by zero is undefined in mathematics. Therefore, the domain of f(x) is all real numbers except x = -1, or in interval notation: (-∞, -1) ∪ (-1, ∞).

The range of a function is the set of all possible output values that the function can produce. For this rational function, the range depends on the behavior of the function as x approaches positive and negative infinity. As x approaches positive or negative infinity, the function f(x) approaches 0, because the highest power of x in the numerator (x^2) and the highest power of x in the denominator (x) have the same degree, and their coefficients (1 in the numerator and 1 in the denominator) are equal. Therefore, the range of f(x) is all real numbers except 0, or in interval notation: (-∞, 0) ∪ (0, ∞). Note that f(x) never actually equals 0, because the function is defined for all real numbers except x = -1. However, it can arbitrarily approach 0 as x approaches positive or negative infinity. So, 0 is excluded from the range. Therefore, the correct answer is: Range = (-∞, 0) ∪ (0, ∞). Note that the range is expressed in interval notation, which uses parentheses to indicate open intervals (excluding the endpoints) and the union symbol (∪) to indicate the combination of two or more sets. In this case, the range consists of all real numbers except 0, expressed as two separate open intervals. The domain is also expressed in interval notation, with the union symbol (∪) used to indicate the combination of two disjoint sets. In this case, the domain consists of all real numbers except -1, expressed as the union of two separate intervals. So, the final answer is: Domain = (-∞, -1) ∪ (-1, ∞) and Range = (-∞, 0) ∪ (0, ∞). I hope this helps! Let me know if you have any further questions. I am here to help! Keep in mind that if you need to use the function f(x) in a real-world context, you should also consider any additional restrictions or conditions that may apply. It's always important to carefully analyze the properties of a function in the context of the problem you are trying to solve.

Step-by-step explanation:

Answer:

The cost of haircut was $45 .

Step-by-step explanation:

The total cost (cost of haircut + cost of tip) = 45+5.40

= $50.40 .

Answer:

12w-21

Step-by-step explanation:

3(4w-7)=12w-21

Answer:

\( \sf \: 12w - 21 \)

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The property we use,

→ Distributive property.

The expression is,

→ 3(4w - 7)

Let's simplify the expression,

→ 3(4w - 7)

→ 3(4w) + 3(-7)

→ 3(4w) - 3(7)

→ 12w - 21

Hence, the answer is 12w - 21.

The mean and standard deviation (in ) of the sampling distribution of the difference in sample means \(\sigma_1\) -  \(\sigma_2\) = (7)² ÷100+ 6² /150.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

Level A:

S.D. = 7

Level B: Mean = 20

S.D. = 6

So, \(\nu_1\) = 22

\(\nu_2\) = 20

Then,  \(\nu_1\) - \(\nu_2\)   = 22-20=2

and, \(\sigma_1\) -  \(\sigma_2\)

= (7)² ÷100+ 6² /150

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Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

\(S_{a} = \pi d^2\)

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

\(\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}\)

Surface area decreases at a rate of 3 cm2/min

This means that \(\frac{dS_{a}}{dt} = -3\)

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is \(\frac{dd}{dt}\) when \(d = 9\). So

\(\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}\)

\(-3 = 2*9\pi\frac{dd}{dt}\)

\(\frac{dd}{dt} = -\frac{3}{18\pi}\)

\(\frac{dd}{dt} = -0.053\)

The diameter decreases at a rate of 0.053 cm/min.

Answer:

x intercept: (-8,0)

y intercept: (0,2)

The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

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Answer: (a)

Step-by-step explanation:

Given

The pattern is 2, 4, 16, 256...

From the pattern, we can see that the next term is square of the previous i.e.

\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)\(\Rightarrow 4=2^2\\\Rightarrow 16=4^2\\\Rightarrow 256=16^2\)

So, for the \(n^{th}\) term, the function is \(f(n)\)

For the next term, it is \(f(n+1)\)

So,

\(\Rightarrow f(n+1)=[f(n)]^2\)

Answer:

22 1/2

Step-by-step explanation:

Step-by-step explanation:

the complement of 26 degree is (90-26).

The supplement of (90-26) is 180 ( 90-26) = 116 degree

Hey there!

Complementary angles add up to

\(\bold{90^\circ}\).

Supplementary angles add up to

\(\bold{180^\circ}\).

We are given an angle whose measure is

\(\bold{26^\circ}\)

The complement of that angle is

\(\bold{x+26=90}\)

Subtract & find the complement

\(\bold{x=64^\circ}\)

Now let's find the supplement of the angle

\(\bold{x+26=180}\)

Subtract and find the supplement

\(\bold{x=154^\circ}\)

Hope everything is clear.

Let me know if you have any questions!

#KeepLearningWithJoy

Answer Given By

\(\boxed{ST2710~}\)

Or

Have an outstanding day!

Answer:

C

Step-by-step explanation:

Helping in the name of Jesus.

Given that g(x) =f(kx). The graph of function g is graph Z Because the graph a function g is the result of a horizontal compression applied to the graph of function F.

A graph can be described  as a pictorial representation or a diagram that represents data or values in an organized manner.

The graph of the function g(x) = f(kx) is obtained from the graph of f(x) by a horizontal compression or stretching, depending on the value of k.

In conclusion, If k is greater than 1, then the graph of g(x) is obtained from the graph of f(x) by a horizontal compression.

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The graphs of the functions f(x) and g(x) are attached with the answer.

       \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given are the functions f(x) and g(x).

The given functions are -

f(x) = \($100(\frac{3}{5})^{x}\)

g(x) = \($100(\frac{2}{5})^{x}\)

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

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Answer: 3/8

Explanation: I believe, sorry if I'm incorrect

Answer:

1/4 = 2/8

1/2 = 4/8

3/8 is greater than 2/8 (1/4) but less than 4/8 (1/2)

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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1. The quadratic function for the Area in terms of x: A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is 0.

3. The maximum cross-sectional area is square inches 0.

To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.

1. Write a quadratic function for the area in terms of x:

The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.

2. The cross-sectional area is maximized when the depth of the gutter is:

To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.

3. The maximum cross-sectional area is square inches:

Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.

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Answer:

Step-by-step explanation:

48-5+ 2x -7 -54 ABE 39. - x=2. 66 - 12 = 54. BC, 15. AB=5 =BC. 6x = 66. - They are. XH. Not. 2) Find the coordinates of the midpoint of the segment with the given endpoints. ... j) Concurrency of Perpendicular Bisectors of a Triangle Theorem: ... Find AE. 40. Find AD. 76. 76. Sy + 20. Find BC. 54. Find AC. 80. Find CD. 76.