The equation of a line is y=-3x - 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2

Answer:

option b) cos 240 degrees.

Step-by-step explanation:

This means that the expression cos 120 degrees can also be written as cos 240 degrees.

This because cos 240 degrees = -1/2 = cos 120 degrees.

This happens because the second and third quadrants carry the same signs.

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The cos240 degree is equal to cos120 degree because they both have same value which is -1/2

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a:

= cos120°

The value of the cos120 is -1/2

= cos(90+30)

= -sin30

= -1/2

The value of cos240

cos240 = cos(180+60)  = -cos60 = 1/2

cos120° =  cos240°

Thus, the cos240 degree is equal to cos120 degree because they both have same value which is -1/2

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Answer:

Step-by-step explanation:

We have:

two rectangles 2 × 3

two rectangles 3 × 5

two rectangles 2 × 5

Calculate the areas:

A₁ = (2)(3) = 6

A₂ = (3)(5) = 15

A₃ = (2)(5) = 10

The Surface Area:

S.A. = 2A₁ + 2A₂ + 2A₃

S.A. = (2)(6) + (2)(15) + (2)(10) = 12 + 30 + 20 = 62

Answer:

C. 14,871.21

Step-by-step explanation: You take the number 29,742.42 and multiply it by .2 to get how much they spend on food (5,948.48), and you multiply the same number by .3 to get how much they spend on housing (8,922.73). Then, you add them up to get the total. .2 is acctually 20% of what they spend out of the 29,742.42 and the same for the .3. Hope this wasn't too complicated by the way I explained it.

Check the picture below.

By the law of sines,

[tex]\dfrac{\sin\angle A}a=\dfrac{\sin\angle B}b=\dfrac{\sin\angle C}c[/tex]

The interior angles of any triangle sum to 180 degrees in measure, so we know

[tex]m\angle A=(180-85-40)^\circ=55^\circ[/tex]

Then

[tex]\dfrac{\sin55^\circ}a=\dfrac{\sin85^\circ}{26}\implies a\approx21[/tex]

and

[tex]\dfrac{40^\circ}c=\dfrac{\sin85^\circ}{26}\implies c\approx17[/tex]

Answer:

m∠8 = 123°

Step-by-step explanation:

∠1 and ∠8 are alternate exterior angles, and since lines A and B are parallel, then they must be congruent.

So, m∠1 = m∠8

Substitute: 123 = m∠8

Answer:

$7,542

Step-by-step explanation:

Her commission is 6% of $125,700.

To find a percent of a number, multiply the percent by the number. Change the percent to a decimal by dividing the percent by 100.

6% of $125,700 =

= 6% * $125,700

= 0.06 * $125,700

= $7,542

B) a parabola

SHSJDKD

The graph of y = 3/4 - 7/8 will end up being a straight line. The line will be horizontal and cross the y axis at approximately (0,1).

Answer:

c

Step-by-step explanation:

Answer:

Option A is correct answer.

Step-by-step explanation:

An equation is having two sides equal. It has an = sign in it.

So, Option A 2y+7 = 9 is an equation as it has = sign in it. So, it is correct option.

All other options do not have = sign in them so, they are not equations.

Answer:

A, 5n - 300 = 1,500

Step-by-step explanation:

yw gen2020

The equation that could be used is 5n - 300 = 1,500

The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance.

Since n represent the no of students

So, the equation should be

5n - ($200 + $100) = $1500

5n - 300 = 1,500

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Answer:

a=5, s=3

Step-by-step explanation:

a=adult s=student

then write 2 equations to represent the amount of people and money

a+s=8

7.25a+5.5s=52.75

• To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

{a+s=8, 7.25a+5.5s=52.75}

• Choose one of the equations and solve it for a by isolating a on the left hand side of the equal sign.

a+s=8

• Subtract s from both sides of the equation.

a=−s+8

• Substitute −s+8 for a in the other equation, 7.25a+5.5s=52.75.

7.25(−s+8)+5.5s=52.75

• Multiply 7.25 times −s+8.

−7.25s+58+5.5s=52.75

• Add −29s/4  to 11s/2.

−1.75s+58=52.75

• Subtract 58 from both sides of the equation.

−1.75s=−5.25

• Divide both sides of the equation by −1.75, which is the same as multiplying both sides by the reciprocal of the fraction.

s=3

• Substitute 3 for s in a=−s+8. Because the resulting equation contains only one variable, you can solve for a directly.

a=−3+8

• Add 8 to −3.

a=5  

Answer: square rectangle and Rhombus  trapezoid

Step-by-step explanation:

Answer:

square rectangle and Rhombus  trapezoid

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 3, 2), thus

(x + 3)² + (y - 2)² = r²

The radius is the distance from the centre of the circle to a point on the circle.

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (6, 4)

r = [tex]\sqrt{(6+3)^2+(4-2)^2}[/tex]

  = [tex]\sqrt{9^2+2^2}[/tex] = [tex]\sqrt{85}[/tex]

Hence

(x + 3)² + (y - 2)² = ([tex]\sqrt{85}[/tex] )², that is

(x + 3)² + (y - 2)² = 85 → C

Answer:

The correct answer option is B. equal.

Step-by-step explanation:

In a symmetrical distribution the mean, median, and mode are equal.

In any distribution which is symmetric, half of its curve is the mirror image of the other half. The pull remains same on each side and the frequencies are also symmetrically distributed.

Therefore, mean, median and mode all fall at the middle as one side balances the other sides.

Answer:

B) EQUAL

Hope this hels

Answer:76 and 84

Step-by-step explanation:

Answer:

1) 78 and 82

2)76 and 84

3)74 and 86

Step-by-step explanation:

1)

Given

mean, x= 80

standard deviation, sd= 2

given percentage of class= 68%

now as per the properties of normal distribution:

-68% of the scores will lie within one standard deviation, sd of the mean, x

i.e. between x-sd and x+sd

Putting values in above we get:

x-sd= 80-2 = 78

x+sd=80+2= 82

Hence about 68% of the class would score between 78 and 82

2)Given

mean, x= 80

standard deviation, sd= 2

given percentage of class= 95%

now as per the properties of normal distribution:

-95% of the scores will lie within 2 standard deviation, sd of the mean, x

i.e. between x-2sd and x+2sd

Putting values in above we get:

x-sd= 80-2(2) = 80-4 = 76

x+sd=80+2(2)= 80+4 = 84

Hence about 95% of the class would score between 76 and 84

3)Given

mean, x= 80

standard deviation, sd= 2

given percentage of class= 99%

now as per the properties of normal distribution:

-99% of the scores will lie within 3 standard deviation, sd of the mean, x

i.e. between x-sd and x+sd

Putting values in above we get:

x-sd= 80-3(2) = 80-6 = 74

x+sd=80+3(2)= 80+6 = 86

Hence about 99% of the class would score between 74 and 86!

Answer:

Step-by-step explanation:

It means that you will a 2 or a 3 or a 4 or a 5 or 6.

All of these are permitted.

So the probability of getting at least a 2 is 5/6.

Answer:

maximum at (4, 9)

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - 1(x - 4)² + 9 is in this form

with vertex = (4, 9)

• If a > 1 then vertex is a minimum

• If a < 0 then vertex is a maximum

here a = - 1 , hence vertex (4, 9) is a maximum

Answer:

The solution of the two equations is (-1 , -3)

Step-by-step explanation:

* Lets revise how to solve the system of the linear equations

- We have two ways to do that

# Substitution method

# Elimination method

- Substitution method is to find one variable in terms of the other

  variable from one of the two equations, then substitute this value

  in the second equation

* Lets solve the problem by the substitution method

∵ x + y = -4 ⇒ (1)

∵ y = 2x - 1 ⇒ (2)

- In equation (2) we have y in terms of x

∴ Substitute (2) in (1)

∴ x + (2x - 1) = -4 ⇒ simplify ir

∴ x + 2x - 1 = -4 ⇒ add the like terms

∴ 3x - 1 = -4 ⇒ add 1 to both sides

∴ 3x = -3 ⇒ divide both sides by 3

∴ x = -1

- Substitute the value of x in equation (2)

∴ y = 2(-1) - 1 = -2 - 1 = -3

∴ The solution of the two equations is (-1 , -3)

* Lets check the answer

- Substitute the value of x-coordinate and y-coordinate in equation (1)

∵ The left hand side = (-1) + (-3) = -4

∵ The right hand side = -4

∴ The two sides equal each other

∴ (-1 , -3) is a solution of the equation x + y = -4

* Lets do the same in the second equation

∵ The left hand side = -3

∵ The right hand side = 2(-1) - 1 = -2 -1 = -3

∴ The two sides equal each other

∴ (-1 , -3) is a solution of the equation y =2x - 1

∴ (-1 , -3) is the solution of the two equations

Answer:

28.3 Square Feet

Step-by-step explanation:

Diameter of circle=6 feet

then

radius=diameter/2

=6/2

=3 feet

The area of circle is given by  

A = πr^2

where r is the radius of the circle

Putting the values of pi and r

A =(3.14)(3)^2

=3.14*9

=28.26 sq. feet

Rounding off to the nearest tenth

A=28.3 sq. feet

So, 28.3 sq. feet need to be painted for the base circle ..

Answer:

it would be in a decimal 2.6

Step-by-step explanation:

Answer:1/3

Step-by-step explanation:

1/6 × 2/1 =1/3

Cross multiply 6÷2 =3

Answer:

Step-by-step explanation:

f(-4)= 6

f(0)= -6

f(1)= -4

The function values are:

[tex]- \(f(-4) = 22\)\\- \(f(0) = 10\)\\- \(f(1) = 7\)[/tex]

To find the indicated function values, we need to use the function \(f(x) = -3x + 10\).

Let's calculate the values:

1. \(f(-4)\):

  Plug in -4 for \(x\):

 [tex]\[f(-4) = -3(-4) + 10\][/tex]

[tex]\[f(-4) = 12 + 10\][/tex]

 [tex]\[f(-4) = 22\][/tex]

2. \(f(0)\):

  Plug in 0 for \(x\):

 [tex]\[f(0) = -3(0) + 10\][/tex]

 [tex]\[f(0) = 0 + 10\][/tex]

 [tex]\[f(0) = 10\][/tex]

3. \(f(1)\):

  Plug in 1 for \(x\):

[tex]\[f(1) = -3(1) + 10\][/tex]

[tex]\[f(1) = -3 + 10\][/tex]

[tex]\[f(1) = 7\][/tex]

So, the function values are:

[tex]- \(f(-4) = 22\)\\- \(f(0) = 10\)\\- \(f(1) = 7\)[/tex]

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The circumference of a circle is found by multiplying the diameter by PI.

Since the answer are in the form of PI, the answer is 140π ft.

Answer:

12

Step-by-step explanation:

You could actually list the numbers between (but not including) 45 and 58:

{46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57}.  I count 12 numbers here.

A number is an arithmetic value that is used to represent a quantity and calculate it. The number of natural numbers between 58 and 45 are 12.

A number is an arithmetic value that is used to represent a quantity and calculate it. Numericals are written symbols that represent numbers, such as "3."

The number of natural numbers between any two natural numbers is given by the (n₂-n₁-1), where the two of the numbers are not included. Also, n₂ and n₁ represent the two natural numbers.

As it is needed to be found the natural number is between 45 and 58, the value of n₂ is 58, while the value of n₁ is 45. Therefore,

The number of natural numbers = (n₂-n₁-1) = (58-45-1) = 12

Hence, the number of natural numbers between 58 and 45 are 12.

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Answer:

Slope = -b/a.

Step-by-step explanation:

Note that the relation between 2/3 and -3/2 is that their product is -1.

If the slope is a/b then we have a/b * m = -1 where m is the slope of the perpendicular line .

So m =  -1 / a/b

= -b/a.

The produce = a/b * -b/a = -1.

B and D are clearly permutation. A and B are selections but arrangement should be done for A where as C only requires selection so C is the combination.

The example which describes combination is:

Combination--

It is a method of choosing or selecting some items from a group of items.

The formula for choosing r items out of a total of n items is given by the formula:

[tex]n_C_r=\dfrac{n!}{r!\times (n-r)!}[/tex]

Also, if we are selecting as well as arranging some items from a group of items then that method is known as a method of permutation.

A)

Selecting the best cake and runner up best cake from a cake decorating competition.

In this case we are choosing as well as arranging the best and runner up cake according to their ranks.

Hence, it will be a process of permutation and not combination.

B)

The number of ways 6 people can arrive at a party if no one arrive at the same time.

Again it is a problem of permutation because we have to find the number of ways the people can arrive i.e. arranging people in different orders they may arrive.

C)

Selecting 5 CD's to take with you on a trip from a collection of 30 CD's.

This is a method of combination.

Since we have to select some items from a set of items.

D)

The number of ways triplets can be born.

This is again a process of permutation.

Since there are different order they may come.

[tex]1.5+9\times3[/tex]

First multiplication (9 × 3).

[tex]1.5+9\times3=1.5+27[/tex]

Than addition. (1.5 + 27)

[tex]1.5+27=\boxed{28.5}[/tex]

The result is 28.5

Hope this helps.

You can help me by making this answer the brainliest.

To evaluate a numerical expression, one must follow the order of operations and ensure units are consistent, simplify the algebra, and substitute numbers carefully. After calculation, unit consistency and reasonable result checks must be performed.

To evaluate a numerical expression, it is essential to follow the order of operations, often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Before we begin calculations, we must ensure all values are in their correct units. This is particularly important when working with physical quantities that might have units (like meters, seconds, kilograms, etc.), which is a concept known as dimensional analysis. If we are asked to simplify algebraic expressions, we might apply rules involving exponents to make the expression more manageable.

To correctly simplify the algebra, we can combine like terms and reduce expressions where possible. Once we have the simplified form, we can substitute any given numerical values, making sure the substitution is done accurately, respecting the dimensions of each term. After calculating the answer, it is critical to check the units to ensure that they are reasonable and consistent with the problem's context. Additionally, if the evaluation involves significant figures, it's important to apply the rules of significant figures, since calculators by default do not consider these rules.

If the question involves solving for an unknown using roots such as square roots or cube roots, ensure you know how to perform such operations properly using a calculator. Once you have calculated the final numerical answer, double-check to make sure the answer is reasonable in the context of the original problem.

Answer:

-95

Step-by-step explanation:

234+112-56+38-423

Answer:

$3

Step-by-step explanation:

Whenever some type of expenditure is made, there are usually 2 types of costs available: the fixed cost and the variable cost. Former is the constant cost which has to be incurred in order to gain the advantage from the expense. Latter is the cost that varies with the duration of the expense. Therefore, total costs (TC) = fixed costs (FC) + variable costs (VC). VC can be expressed as: VC = price per hour (p) * number of hours (h). So the equation becomes TC = FC + p*h. In this question, FC = $43, TC = $64, h = 7 hours, and p is unknown. So plugging in the values give:

64 = 43 + 7p.

Solving the equation for p gives:

p = 21/7. This implies that p = 3.

Therefore, the hourly fee is $3!!!

Answer:

7h+43=64

$3 the hourly fee for the rototiller

Step-by-step explanation:

Answer:

The average rate of change from x= 7 to x=10 is 14

Step-by-step explanation:

We can use the slope formula to find the average rate of change

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Now, we are given f(x) = x^2-3x-4 and x=7 to x=10

Our formula can be rewritten as:

[tex]m=\frac{f(10)-f(7)}{10-7}[/tex]

finding f(10) = (10)^2 -3(10) -4

                   = 100 -30 -4

                   = 66

and f(7) = (7)^2 -3(7) -4

            = 49-21-4

            = 24

Now finding m:

m= 66 - 24 / 10-7

m= 42/3

m= 14

So, the average rate of change from x= 7 to x=10 is 14.

ANSWER

[tex]14[/tex]

EXPLANATION

The given function is

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

The average rate of change from x=7 to x=10 is given by;

[tex] \frac{f(10) - f(7)}{10 - 7} [/tex]

[tex]f(10) = {(10)}^{2} - 3(10) - 4[/tex]

[tex]f(10) = 100 - 30 - 4[/tex]

[tex]f(10) = 66[/tex]

[tex]f(7) = {7}^{2} - 3(7) - 4[/tex]

[tex]f(7) = 49 - 21- 4 = 24[/tex]

The average rate of change now becomes:

[tex] \frac{26 - 24}{3} = \frac{52}{3} =14[/tex]