cos (x + 16) = sin(3x – 2)

The 2 options that represent the coordinates that give a slope of -3/5 are;

Option A;(–8, 8) and (2, 2)

Option D;(–2, 1) and (3, –2)

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

We are told that the slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

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Answer:

A;(–8, 8) and (2, 2)

D;(–2, 1) and (3, –2)

Step-by-step explanation:

The number of times that -4 used as a factor in the expression (-4)5 is 5 times.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, in expression (-4)5, it can be seen that.-4 is used 5 times

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You will put $584.85 in order to buy the T.V.

Given is that to buy a TV that costs $3,899 for your room, your dad tells you that you must raise 15%.

Assume that you have to raise $x. Then -

x = 15% of 3899

x = (15/100) x 3899

x = 584.85

Therefore, you will put $584.85 in order to buy the T.V.

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[Question in english -

To buy a TV that costs 3,899 for my room, my dad tells me that I must raise 15%. How much money will I put?]

Answer:

In the third quadrant, the sine of an angle is negative, so the angle itself must be between 180 and 270 degrees. This means that the cosine of the angle, and therefore the cosine of half the angle, is also negative.

To find the exact value of the cosine of half the angle, we can use the double angle formula for cosine, which states that cos(2A) = 1 - 2sin^2(A). Since the sine of half the angle is sin(B/2) = sqrt((1 - cos(B))/2), we can plug this into the double angle formula to get:

cos(B/2) = sqrt(1 - cos(B))/sqrt(2) = sqrt((1 - (-1/3))/2) = sqrt(4/6)/sqrt(2) = sqrt(2/3)/sqrt(2) = sqrt(1/3)

Therefore, the value of cos(B/2) is sqrt(1/3), which is positive because B/2 is between 0 and 90 degrees. The exact value of the cosine of half the angle B in the third quadrant is sqrt(1/3).

The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given:

The sides QU = 140 m, US = 115 m, TU = 104.55 m

As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,

QU / QS = TU / RS

140 / 140 + 115 = 104.55 / RS

140 / 255 = 104.55 \ RS

RS = 104.55 × 255 / 140

RS = 190.43 or 200 m

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Answer: 190.43m

Step-by-step explanation:

In Photo

The general form of the equation of the quadratic function is, [tex]y=(x + 6)^2 - 1[/tex]

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given that  the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of the quadratic function.

(h, k) = (−6, −1), (x, y) = (−9, 8)

The General vertex form of a quadratic,

f(x)=

[tex]y=a(x-h)^2 + k[/tex]

Where,a = focus,

h = x-coordinate of vertex,

k = y-coordinate of vertex.

As the point (−9, 8) lies on the curve, therefore it must satisfy the curve equation.

[tex]y=a(x-h)^2 + k\\\\8=a(-9-(-6))^2 - 1[/tex]

a = 1

∴ Then the equation becomes,

[tex]y=(x + 6)^2 - 1[/tex]

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A cell phone tower has a range of 4 miles. The area covered by the tower is 130.09 km².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

Given,

A cell phone tower has a range of 4 miles.

Converting miles into kilometer,

1 miles = 1.609

4 miles = 6.437

Area covered by tower,

πr²

3.14 × (6.437)²

3.14 × 41.43

130.09 km²

A cell phone tower has a range of 4 miles. The area covered by the tower is 130.09 km².

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Shape would the resulting distribution have very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.

Given,

100 cm = 1 m

Xₙ = 557.3 cm

Divide each centimeter number by 100 to convert the corrected long jump distances from centimeters to meters.

A very symmetric distribution with a single peak was found to be the corrected long-jump distances in centimeters distribution's shape.

The distribution's structure is unaltered when each value in the data is divided by 100 since there are no changes to the relationships between any two pieces of data.

Since there is just one peak in this example, the corrected long-jump distances in meters distribution likewise has an almost symmetric form.

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Answer:

answer is A Step-by-step explanation

Answer:b

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

to find slope we use y2-y1/x2-x1

8-6/3-1

2/2

1 is the slope

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

....shhhhhhhhhhhhhhhhhhhhhhh

Answer:

Since the length of a side of a triangle must be a positive number, the only solution that makes sense is $x = \frac{14 + \sqrt{-764}}{8}$. The length of the shorter leg is then $y = x - 7 = \frac{14 + \sqrt{-764}}{8} - 7 = \frac{7 + \sqrt{-764}}{8}$.

Therefore, the side lengths of the triangle are $\frac{7 + \sqrt{-764}}{8}$ and $\frac{14 + \sqrt{-764}}{8}$.

Answer:

Cylinder A: 602.88 cm³

Cylinder B: 2512.00 cm³

Step-by-step explanation:

Volume of cylinder = (3.14) r² h

Cylinder A:

(3.14) (4)² (12) = (3.14)(16)(12) = 602.88 cm³

Cylinder B:

(3.14) (10)² (8) = (3.14)(100)(8) = 2512.00 cm³

Using the Corresponding Angle Theorem, ∠m = 23 degree. So, the option A is correct.

In the given question, lines n and o are parallel and are cut by the transversal p.

We have to find the measure of ∠m and choose the correct option.

As we know that;

When two parallel lines are intersected by another line, corresponding angles are the angles that are formed in matching corners or corresponding corners with the transversal.

So using the Corresponding Angle Theorem

∠m = 23 degree

Hence, the option A is correct.

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The aftertax cost of debt to Mojo Mining, given the company tax rate, and the maturity term of the bond, is F. 4. 58 %

First, find the yield on the bond. This yield can be found by the Rate function on Spreadsheet.

N = 18 years x 2 = 36 semi annual periods

PMT = 6.66% / 2 x 2, 000 = $ 66. 60

PV = 2, 120

FV = 2, 000

The spreadsheet would show a result of 3.05 % per semi annum. The annual rate is therefore:

= 3.05 % x 2

= 6.10 %

The aftertax cost of debt to Mojo Mining is therefore:

= 6.10 % x ( 1 - 25 % tax rate )

= 4.68%

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With the application of numerical variable Line of best fit equation is
y = 0.28x + 6.

What is numerical variable?

A numerical variable is a type of data that is expressed as a number or numerical value. It is typically used to measure a quantitative value such as height, weight, age, income, distance, quantity, or speed. Examples of numerical variables include population size, test scores, stock prices, or sales figures. Numerical variables can also be discrete or continuous. Discrete numerical variables have a finite number of values, while continuous numerical variables can have an infinite number of values between any two numerical values.

Line of best fit equation is

y = 0.28x + 6

The slope point is ( 49, 19.8), ( 0,6 )

(19.8 - 6) / ( 49 - 0) = 13.8/ 49

= 0.28

After 58 weeks, The pound that alligator weigh

y = 0.28(58)+ 6

y = 22. 24 pounds

Therefore, After 58 weeks The pound that alligator weigh is 22. 24 pounds

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Answer:

If Sophie has $800 in a saving account that earns 5% interest per year and the interest is not compounded, then after one year she will have $840 in her account. This is because 5% of $800 is $40, and when we add this to the initial amount of $800, we get $840.

In general, if a saving account earns x% interest per year and the initial amount in the account is y dollars, then after one year the account will have y + (x/100) * y dollars. For example, if the interest rate is 5% and the initial amount is $800, then the final amount would be $800 + (5/100) * $800 = $840.

Step-by-step explanation:

We can write the negate of the conditional statement c⇒(a∧∼b) as : a∨(∼b).

We have the the following conditional statement -

c ⇒ (a∧∼b)

We can write the negate of this conditional statement as -

a∨(∼b)

Therefore, the negate of this conditional statement as : a∨(∼b).

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Answer:

x=4

Step-by-step explanation:

[tex]\sqrt{2x+1} -4=1\\\sqrt{2x+1}=3\\2x+1=9\\2x=8\\x=4[/tex]

The box and whisker plot for the data

72, 84, 85, 91, 98, 90, 68, 65, 55, 71, 91, 99, 98, 59, 60, 64, 61, 68, 88, 91, 99

has been shown below.

What is box and whisker plot?

Box and whisker plot is used to find the variations in a data set.

Box and whisker plot is a very good technique to show the minimum value, lower quartile, median, upper quartile and maximum value diagrammatically.

Here, the test scores are

72, 84, 85, 91, 98, 90, 68, 65, 55, 71, 91, 99, 98, 59, 60, 64, 61, 68, 88, 91, 99

The box and whisker plot has been shown below-

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Answer:

[tex]\ \ \ \ \ \ \: 1\\47 \overline{ \smash{)} \ 79}\\\textrm{ } \: \ \underline{-47}\\\textrm{ } \ \ \ \ 32[/tex]

Explanation:

47 goes into 79 once with remainder 32.

Answer:

check explanation

Step-by-step explanation:

To start I estimated.

47 x 2 = 94 and is too big of a number so instead, we use 47 x 1 = 47, because 47 is the closest to 79 in this case.

By doing this it changes to

       ___1__

47  |     79  

Next, you multiply 47 by 1 to get 47 (this goes below 79)

       ___1__

47  |     79  

         - 47

        =

Then subtract, this should get you 32

       ___1__

47  |     79  

         - 47

        = 32

because there are 'no more digits to move down from the dividend'* this means the problem is finished, and 32 is our remainder.

      ___1__

47  |     79  

         - 47

        = 32

           I

          V  

      ___1__ ( r 32 )

47  |     79  

The problem you have shows the remainder at the bottom as a way to show the steps.

your answer:

      ___1__

47  |     79  

         - 47

        = 32

quote:

" because there are no more digits to move down from the dividend the problem is finished."

Answer:

$150 for each security camera

Step-by-step explanation:

If he wants to spend $450 or less for 3 security cameras, he will have to spend $150 for each security camera.

Answer:

the answer is $150

Step-by-step explanation:

If he wants to spend not less than $450, he has to buy one camera for $150

Answer: Patrick invested €7,280 in the special savers bank account.

Step-by-step explanation:

If the money in the bank account earned 4% interest after one year, then the amount of interest earned is 4/100 * the amount invested. We can write this as an equation as follows:

4/100 * amount invested = €291.20

Solving for the amount invested, we get:

4/100 * amount invested = €291.20

amount invested = €291.20 / (4/100)

               = €291.20 / 0.04

               = €7,280

Therefore, Patrick invested €7,280 in the special savers bank account.

Answer:11.6

Step-by-step explanation:

By using the concept of F- distribution, it can be concluded that-

To reject the null hypothesis of equal coefficients in the global test  from the output tables of a multiple regression model, F- distribution is used

What is F- distribution?

F- distribution is the used to test if the two observed sample has the same variance or not.

F- distribution is used to reject the null hypothesis when the two samples have the same variance.

Here, the null hypothesis of equal coefficients has to be rejected in a global test.

And also, here the outputs are from multiple regression model.

So F - distribution is used.

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Complete Question:
which one of the following entries from the output tables of a multiple regression model could be used to reject the null hypothesis of equal coefficients in the global test?
A) F- distribution
B) B- distribution
C) D- distribution
D) Non of these