Tides The length of time between consecutive high tides is 12 hours and 25 minutes. According to the National Oceanic and Atmospheric Administration, on Saturday, April 26, 2014, in Charleston, South Carolina, high tide occurred at 6:30 am (6.5 hours) and low tide occurred at 12:24 pm (12.4 hours). Water heights are measured as the amounts above or below the mean lower low water. The height of the water at high tide was 5.86 feet, and the height of the water at low tide was − 0.38 foot.
(a) Approximately when will the next high tide occur?
(b) Find a sinusoidal function of the form
y = A sin(ωx – ϕ) + B
that models the data.
(c) Use the function found in part (b) to predict the height of the water at 3 pm on April 26, 2014.

Given:

The fractions are:

[tex]\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}[/tex]

To find:

The each fraction as the sum of a whole number and a fraction less than 1.

Solution:

The given fraction is [tex]\dfrac{6}{5}[/tex].

[tex]\dfrac{6}{5}=\dfrac{5+1}{5}[/tex]

[tex]\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}[/tex]

[tex]\dfrac{6}{5}=1+\dfrac{1}{5}[/tex]

Therefore, the given fraction [tex]\dfrac{6}{5}[/tex] can be written as [tex]1+\dfrac{1}{5}[/tex].

The given fraction is [tex]\dfrac{11}{7}[/tex].

[tex]\dfrac{11}{7}=\dfrac{7+4}{7}[/tex]

[tex]\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}[/tex]

[tex]\dfrac{11}{7}=1+\dfrac{4}{7}[/tex]

Therefore, the given fraction [tex]\dfrac{11}{7}[/tex] can be written as [tex]1+\dfrac{4}{7}[/tex].

The given fraction is [tex]\dfrac{21}{4}[/tex].

[tex]\dfrac{21}{4}=\dfrac{20+1}{4}[/tex]

[tex]\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}[/tex]

[tex]\dfrac{21}{4}=5+\dfrac{1}{4}[/tex]

Therefore, the given fraction [tex]\dfrac{21}{4}[/tex] can be written as [tex]5+\dfrac{1}{4}[/tex].

Answer:

40.5

I hope u get a good mark glll

Step-by-step explanation:

Answer:

  True

Step-by-step explanation:

You want to know if it is true or false that "two angles add up to 180° if and only if they are supplementary."

Two supplementary angles have a sum of 180°. That is the definition of supplementary angles. The offered statement is True.

Answer: the answer is b?

hope this helps

Answer:

y -7 = -4(x + 2)   (Answer D)

Step-by-step explanation:

The general point-slope equation is y - k = m(x - h)

If the slope, m, is -4, and the point is (h, k) with h = -2 and k = 7), then we have in this case

y -7 = -4(x + 2)   (Answer D)

Considering the definition of a line, the correct answer is option A: the equation of the line in point-slope form is y + 7= 3/8(x- 15.2)

A linear equation o line can be expressed in the form y = mx + b

where

The point-slope form of an equation of a line is written as y-y₁=m(x-x₁)

where:

In this case, you know:

The point-slope form of the line is written as:

y- (-7)= 3/8(x- 15.2)

y + 7= 3/8(x- 15.2)

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Answer:

x = 45

Step-by-step explanation:

2x + 6 and 96 are vertically opposite angles and are congruent , then equation is

2x + 6 = 96 ( subtract 6 from both sides )

2x = 90 ( divide both sides by 2 )

x = 45

The property that could be used to determine that the triangles are congruent is the SSA congruent theorem

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

Triangles = QRP and XWY​

On the triangles, we can see that:

This means that we make use of the SSA congruent theorem

The SSA congruent theorem implies that  if two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.

In this case, we have

Congruent sides: RQ and HG & PR and HF

Congruent angles: Angles Q and G

Hence, the additional information on the congruency of the triangles is the SSA theorem

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Answer:

0 1 2 3

Step-by-step explanation:

Since n is an integer

We have n = { 0 1 2 3 }

Answer: A

Step-by-step explanation: 2.5 inches = 63.5 millimeters

Answer:

24 patterns

Step-by-step explanation:

Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;

4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]

      = [tex]\frac{4 x 3 x 2!}{1!}[/tex]

     = 4 x 3 x 2

     = 24

4[tex]P_{3}[/tex] = 24

Therefore, 24 four letter patterns can be formed when the given letters are repeated.

Answer:

the value of x that will make A||B is 4

Answer:

50.24=4squared times pie

Step-by-step explanation:

Answer:

The area of a circle with a diameter of 0.8 meters is approximately 0.50 [tex]m^2[/tex].

Step-by-step explanation:

Since the diameter of the circle is 0.8 meters, that means the radius of the circle would be 0.4 meters. The area of a circle can be found by the formula [tex]\pi r^2[/tex], where [tex]r[/tex] represents the radius of the circle. In this case, the area would be [tex]0.4^2*\pi[/tex] = [tex]0.16 * \pi[/tex] ≈ 0.50 [tex]m^2[/tex].

The equation system is appropriately described by the formula 4x - y=6.A mathematical formula known as an equation combines two assertions .

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.

given

Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

By graphing the given equations, you can easily solve a system by finding the point(s) where they all cross.

The values of the variables you are solving for will be provided by the coordinate of this point.

The equation system is appropriately described by the formula 4x - y=6.

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Complete question :

Birth Month Frequency

January-March 67

April-June 56

July-September 30

October-December 37

Answer:

Yes, There is significant evidence to conclude that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Step-by-step explanation:

Observed value, O

Mean value, E

The test statistic :

χ² = (O - E)² / E

E = Σx / n = (67+56+30+37)/4 = 47.5

χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

Degree of freedom = (Number of categories - 1) = 4 - 1 = 3

Using the Pvalue from Chisquare calculator :

χ² (18.295 ; df = 3) = 0.00038

Since the obtained Pvalue is so small ;

P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Answer:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Step-by-step explanation:

Answer:

0.135%

Step-by-step explanation:

Given :

Mean, m = 60

Standard deviation, σ = 5

x = 45

The Zscore = (x - m) / σ

Z = (45 - 60) / 5 = - 15 / 5 = - 3

P(Z < - 3) = 0.0013499

0.0013499 * 100%

= 0.13499%

Only about 0.135% scored below 45

Answer:

there are no brown socks

Step-by-step explanation:

there is zero possibility of pulling a brown sock from the drawer fro this to be possible there would have to be no brown socks

Answer:

False

Step-by-step explanation:

right!!

Answer:

B. 4760 in³

Step-by-step explanation:

V= l×w×h

=34×10×14

=4760 in³

the formula for volume of sphere is 4/3||r^3

diameter=2radius

in the formula we need to have radius but we have been given diameter so we convert diameter to radius

d=2r

r=d/2

9.5÷2

4.75

The MIRR statistic for the project I given the cost of capital and the reinvestment rate, is 7. 43 %.

A monetary indicator of an investment's allure is the modified internal rate of return or MIRR. Ranking equivalent alternative investments is done in capital budgeting.

You can use a spreadsheet to find the MIRR by first ordering the cash flows as shown in the attached image. Then use the = MIRR function.

The cost of capital is the finance charge which is 11 %. The reivestment rate will be the same as the finance charge if not given so it will be 11 % as well.

The MIRR is therefore 7 .43 %.

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Answer:

  See attached

Step-by-step explanation:

You want various combinations of the functions g(a) = -3a+1 and h(a) = 3a³ +4a.

The functions have no common factors, so their ratio leaves the function expressions unchanged:

  [tex]\dfrac{g(a)}{h(a)}=\boxed{\dfrac{-3a+1}{3a^3+4a}}[/tex]

The like terms are combined when the functions are added.

  [tex]h(a)+g(a)=(3a^3+4a)+(-3a+1)=3a^3+(4-3)a+1\\\\=\boxed{3a^3+a+1}[/tex]

Similarly, the like terms are combined when the functions are subtracted.

  [tex]g(a)-h(a)=(-3a+1)-(3a^3+4a)=-3a^3+(-3-4)a+1\\\\=\boxed{-3a^3-7a+1}[/tex]

The product is found the way products are usually found. Each term of one of the factors is multiplied by each term of the other factor, and these products are summed. You can think of it as repeated application of the distributive property.

  [tex]g(a)\cdot h(a)=(-3a+1)(3a^3+4a)=-3a(3a^3+4a)+1(3a^3+4a)\\\\=-9a^4-12a^2+3a^3+4a\\\\=\boxed{-9a^4+3a^3-12a^2+4a}[/tex]

Answer:

about 75.36

Step-by-step explanation:

we know the radius of the base (circle) is 2 since 4/2 is 2.

Area of cylinder is height times area of base

6*4π=24π

You round π as 3.14

so 3.14*24= 75.36

Answer:

[tex] 75.4 \: {cm}^{3} [/tex]

Step-by-step explanation:

Height of the cylinder h = 6 cm

Diameter d = 4 cm

Radius r = 4/2 = 2 cm

[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(2)}^{2} \times 6 \\ \\ = 3.14 \times 4 \times 6 \\ \\ = 3.14 \times 24 \\ \\ = 75.36 \\ \\ = 75.4 \: {cm}^{3} [/tex]

Answer:

The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.

Step-by-step explanation:

If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.

In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.

Answer:

(1, -4), (4, -1)

Step-by-step explanation:

A solution to a system of equations is when the two lines intersect. In this case, we have two intersections, which means two solutions.

From left to right, we first see an intersection at (1, -4).

Continuing to the right, we see another intersection at (4, -1)

These are our two solutions.

(1, -4), (4, -1)

Hope this helps!