Rewrite sin(x-7pi/4) in terms of sin(x) and cos(x)

The linear equations that represent the relationships in the question order are;

A linear equation is an equation of the form; y = m·x + c

The slope of the line is found as follows;

(-5 - (-21))/(-1 - (-5)) = 4

The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4

y = 4·x + 4 - 5 = 4·x - 1

The y-intercept is (0, 4), the x-intercept is (4, 0)

The slope is therefore; (0 - 4)/(4 - 0) = -1

The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4

The y-intercept is (0, -1), the x-intercept is (4, 0)

The slope is therefore; (0 - (-1))/(4 - 0) = 1/4

The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =

The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]

y - (-3/4) = -1 × (x - 1) = -x + 1

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

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Answer:

33,000

Step-by-step explanation:

0.33 x 10^5 is 33,000

The number of sugar cups will be equal to 7.5 cups.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the ratio of flour to sugar is 2 cups to 3 cups. The number of cops for flour is 5.

The number of sugar cups will be calculated as,

F / S = 2 / 3

5 / S = 2 / 3

S = ( 5 x 3 ) / 2

S = 7.5 cups

Therefore, the number of sugar cups will be equal to 7.5 cups.

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Answer:

Step-by-step explanation: How much is 1 t shirt

[tex]72x^{2}+3x+3[/tex]Answer:

Step-by-step explanation:

[tex]1. (4x^{2}+34x^{2} +34x^{2} )+(x+x+x)+3\\ 2. 72x^{2} +3x+3[/tex]

The 7 names of triangles:

Scalene, Isosceles, Equilateral, Equiangular triangle, Acute triangle,

Right triangle, Obtuse triangle

What are triangles?

Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The triangle's three angles add up to a total of 180 degrees.

Equiangular triangle: All angles are equal.

Acute triangle . . . all three angles are less than 90°

Right triangle . . . one angle is 90°

Obtuse triangle . . . one angle is greater than 90°

Equilateral triangle . . . all three sides are the same length

Isosceles triangle . . . two sides are the same length

Scalene triangle . . . all three sides are different lengths

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Answer:

136

Step-by-step explanation:

solve the inside of the parentheses and you get -17, then multiply by -8

Answer: Horizontal Translation

Step-by-step explanation:

Answer:

y=11x-5

Step-by-step explanation:

y=mx+b

28=11(3)+b

28=33+b

b=-5

y=11x-5

Answer: It indicates that the quadratic has a repeated real number solution.

Step-by-step explanation:

Answer:

x less than or equal to -2

Step-by-step explanation:

I believe that's the answer

Answer:

  x < -2

Step-by-step explanation:

You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.

The domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.

The open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...

  x < -2

The domain of the relation is x < -2.

Answer:

[tex]f(h(x)) = ( \sqrt{x} - 3)^{2} + 4[/tex]

[tex]f(h(x)) = (x - 9) + 4[/tex]

[tex]f(h(x)) = x - 5[/tex]

Step-by-step explanation:

h(x) became x for function of f(x)

Answer:

Step-by-step explanation:

1) Subtract 5 from both sides.

[tex]m-5=-0.5d[/tex]

2) Divide both sides by -0.5.

[tex]-\frac{m-5}{0.5} =d[/tex]

3) Switch sides.

[tex]d=-\frac{m-5}{0.5}[/tex]

Thank you,

Eddie

Answer:

2 1/4 kg

Step-by-step explanation:

Answer: A

Step-by-step explanation:

18.6 is less than 18.7

so 18.6<18.7

Answer:

find p (A or ),given that A and B are independent

Answer:

43x+3x+17y

Step-by-step explanation:

because 43x+17y+3x=43x+17y+3x

The graph of exponential function y = 5.2^x

exponential function in the form y = ab^x + c

Exponential function:

An exponential function is a mathematical function of the following form: f ( x ) = a^x. where x is also a variable, and a is a constant called the base of the function.

where

a is the initial y - intercept.

b is the constant ratio.

c is the horizontal asymptote.

So, in this problem, we have:

constant ratio = 2

y-intercept at y = 5

horizontal asymptote at y = 0

The graph is in the image uploaded.

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The area of walk is 504 square feet

The area of rectangle is define as a  product of length L and width w

calculate the area of rectangle yard

Area = L x W,  

where A equal the Area, L equals the length and W equal width.

A = 35 x 55

A= 1925 square feet

Area of the rectangular yard is 1925 square feet

From the question, we have 3ft wide goes all the way along the fence inside.

Therefore, we subtract six feet from each of the value of length ( 35) and width (55) because each side has 3feet .

Area = L x W

A = 29 x 49

A = 1421 square feet

Area of new rectangle formed by allowing for three foot walk is 1421 square feet

Area of Walk

To get the area walk;  we subtract area of new rectangular formed from area of rectangular yard

Area of Walk = Area of Rectangular yard - Area of new rectangle

Area of Walk = 1925 - 1421

Area of Walk = 504 square feet.

Therefore, the area of walk is 504 square feet.

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On solving the given question, we got Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2

A prism is a polyhedron in geometry that has an n-sided polygonal basis, a second base that is a shifted version of the first base, and n additional faces—necessarily all parallelograms. Connect the matching sides of the two bases.

h = 51 cm

a = 2cm

therefore,

volume of a Triangular Prism = (½) abh cubic cm

245.8 = [tex]\frac{1}{2}[/tex] X 2 X b X 51

[tex]= > b = \frac{245.8 X 2}{2 X 51}[/tex]

[tex]= > b = \frac{491.6}{102}[/tex]

[tex]= > b = 4.819[/tex]

Now Area of base of prism

Area of the base prism = bh/2 = (4.819 X 51)/2 = 122.89 cm2

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Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].

Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].

The linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:

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

For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:

y = m*(x - h) + k

Where y and x are the two variables.

Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:

m = 1/2

h = 1

k = -2

Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:

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

That is what we wanted to find.

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Answer:

[tex]\textsf{D.} \quad 5^9=x[/tex]

Step-by-step explanation:

Given logarithmic equation:

[tex]\log_5x-\log_525=7[/tex]

[tex]\textsf{Apply the quotient log law}: \quad log_ax - \log_ay=\log_a \left(\dfrac{x}{y}\right)[/tex]

[tex]\implies \log_5\left(\dfrac{x}{25}\right)=7[/tex]

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 5^7=\dfrac{x}{25}[/tex]

Multiply both sides by 25:

[tex]\implies 25 \cdot 5^7=x[/tex]

Rewrite 5 as 5²:

[tex]\implies 5^2 \cdot 5^7=x[/tex]

[tex]\textsf{Apply exponent rule}: \quad a^b \cdot a^c=a^{b+c}[/tex]

[tex]\implies 5^{2+7}=x[/tex]

[tex]\implies 5^9=x[/tex]

The lowest temperature with a z score of of -2.49 is 24.0 ˚F

Z scores, measures the amount of standard deviation sample X is from mean. the formula is below

z = (X - μ) / σ

Definition of variables

mean, μ = 4.4˚F

standard deviation, σ = 12.2 ˚F

X = lowest temperature

z = -2.49

substituting into the formula

-2.49 =  (X - μ) / σ

-2.49 = (X - 64.4) / 12.2

-2.49 * 12.2 = X - 64.4

-30.378 + 64.4 = X

X = 34.022

X = 34.0  (to one decimal place)

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We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

According to the question,

We have the following information:

Isolating a variable by dividing each side of the equation in which one side does not contain any variable.

Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.

Now, this can be done as follows in the given equation:

2x = 14

Now, the variable x can be isolated by dividing both sides of the equation by 2:

x = 14/2

x = 7

Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

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Answer:

[tex]2 \sqrt[3]{3} [/tex]

Step-by-step explanation:

[tex]24 {}^{ \frac{1}{3} } [/tex]

[tex] \sqrt[3]{24} [/tex]

[tex] \sqrt[3]{8 \times 3} [/tex]

[tex] \sqrt[3]{8} \times \sqrt[3]{3} [/tex]

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

[tex]2 \times \sqrt[3]{3} [/tex]

[tex]2 \sqrt[3]{3} [/tex]

Answer:    y=-1/2x+4

Step-by-step explanation: