Nick needs to raise at least $320 for his trip. He has $80 saved already, and he makes $40 per yard that he mows. Write and solve an inequality to solve for how many yards, "x," Nick must mow to earn the money.

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

k12 test

The correct value of the trigonometric cos(0) = 5/8.

A. If the point P is on the unit circle and is located in the third quadrant, the x-coordinate will be negative. We can use the Pythagorean identity to find the value of x.

Given:

y-coordinate of P = -5/7

Using the Pythagorean identity:

x² + y² = 1

Substituting the given value of the y-coordinate:

x² + (-5/7)² = 1

x² + 25/49 = 1

x² = 1 - 25/49

x² = (49 - 25)/49

x² = 24/49

Taking the square root of both sides, considering the negative x-coordinate in the third quadrant:

x = -√(24/49)

x = -√24/√49

x = -√24/7

x = -2√6/7

Therefore, x = -2√6/7.

B. Given:

cos(θ) = -7/9

Using the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Substituting the given value of cos(θ):

sin²(θ) + (-7/9)² = 1

sin²(θ) + 49/81 = 1

sin²(θ) = 1 - 49/81

sin²(θ) = (81 - 49)/81

sin²(θ) = 32/81

Taking the square root of both sides, considering the value of sin(θ) in the third quadrant:

sin(θ) = -√(32/81)

sin(θ) = -√32/√81

sin(θ) = -√32/9

sin(θ) = -4√2/9

Therefore, sin(θ) = -4√2/9.

C. Given:

sin(θ) = -√39/8

Using the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Substituting the given value of sin(θ):

(-√39/8)² + cos²(θ) = 1

39/64 + cos²(θ) = 1

cos²(θ) = 1 - 39/64

cos²(θ) = (64 - 39)/64

cos²(θ) = 25/64

Taking the square root of both sides, considering the value of cos(θ) in the fourth quadrant:

cos(θ) = -√(25/64)

cos(θ) = -√25/√64

cos(θ) = -5/8

Therefore, cos(θ) = -5/8.

Learn more about trigonometry here:

https://brainly.com/question/13729598

#SPJ8

Answer:

x = 9.5

this should be the right answer if the same one you had to solve.

Step-by-step explanation:

y = 2x - 4

y = 12 + 3                             combine them

2x - 4 = 12 + 3

    +4         +4                   The 4's cancel each other out

2x = 12 + 7                     Add then divide

 2x = 19

  2x = 19

  ----   ----

   19   19

 x = 9.5

Answer:

she will need to take 4 errands!

Step-by-step explanation:

Answer:

may be this is helpful!

Answer:

38 and 40 aren't relatively prime because they can be divided by 2, 4, 10, and any numbers that multiply to 38 or 40. Like 4×10=40. You can divided 38 and 40 with any number while 5 can be divided once with 1.

Step-by-step explanation:

Primes is that you can multiply a number something to get that number. For example: 3×3=6 and 1×6=6 but their one multication of 5 like 1×5.

Answer:

126

Step-by-step explanation:

Let x be the missing length

The triangles are similar:

● UE/140 = 45/x

From the graph we deduce that:

● UE = 140 - 90 = 50

Replace UE by its value

● 50/ 140 = 45/x

Switch x and 50

● x / 140 = 45/50

45/50 is 9/10 wich is 0.9

● x/140 = 0.9

Multiply 0.9 by 140

● x = 140 × 0.9

● x = 126

Answer:

I think its c 126

Step-by-step explanation:

Answer:

I believe its 97°

Step-by-step explanation:

Because all the outsides are the same for the 97 already there and x

Answer:

hi! this may all seem confusing but don't worry it's easy once you get it!

so we have a line this line y=4x-7 is what we will use to plugin our point

and (0,2) is your point!

2=4(0)+b

2=b

and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)

y=4x + 2 would be the answer!

REMEMBER: Parallel is always the same so you will use the SAME SLOPE!

Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given

If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!

hope this helps :)

new question:  write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6

so we need to move this from standard form to slope intercept

2x + 3y=6

-3y= -2x + 6

y= 2/3x - 2

now we've solved!  our y intercept is now -2 and slope is 2/3x

okay and now let's plug it in!

again let's plugin our point

5= 2/3 (1) + b

4 1/3= b

so! y= 2/3x - 4 1/3

Answer:

0.6cm

Step-by-step explanation:

25 : 1

1 : 0.04

15 : 0.6

Answer:

13 ft

Step-by-step explanation:

The formula to find the length of the diagonal of a rectangle =

Diagonal² = Length² + Width²

Diagonal = √Length² + Width²

Length = 12 ft

Width = 5ft

Diagonal = √12² + 5²

Diagonal = √144 + 25

Diagonal = √169

Diagonal = 13 ft

The length of the diagonal of the rectangle = 13 ft

Answer:

The sum of 7 and n would be 7n

Step-by-step explanation:

I don't know why my question was deleted but with this information it would be 7n

Step-by-step explanation:

use the formula to calculate area of triangle.

Answer:

(15,16)

Step-by-step explanation:

C is halfway between A and B

A to B on the x axis goes across by 24

24 / 2 =12

3 +12 =15

A to B on the y axis goes up by 28

28 /2 =14

2+14 =16

(15,16)

Answer:

644.89

Step-by-step explanation:

Answer:

644.89 m

Step-by-step explanation:

68 / 100 * 948.37 = 0.68 * 948.37 = 644.89 m (2 d.p.)

Answer:46 answers :)

Step-by-step explanation:

The solution of the given initial value problem, x'' + 33.64x = 4cos(6t), with x(0) = x'(0) = 0, can be expressed as a sum of the homogeneous solution and the particular solution.

To find the solution, we start by solving the homogeneous equation, x'' + 33.64x = 0. The characteristic equation associated with this homogeneous equation is \(r^2 + 33.64 = 0\), which yields the roots

r = ±i√33.64. Thus, the homogeneous solution can be expressed as

x_h(t) = A*cos(√33.64*t) + B*sin(√33.64*t),

where A and B are constants determined by the initial conditions.

Next, we need to find the particular solution for the forced oscillation. Since the right-hand side of the equation is of the form Acos(ωt), where ω = 6, we assume a particular solution of the form x_p(t) = C*cos(ω*t + φ), where C and φ are constants to be determined. Taking the derivatives, we have x_p''(t) = -ω^2*C*cos(ω*t + φ) and x_p'(t) = -ω*C*sin(ω*t + φ). Substituting these into the original equation, we obtain -ω^2*C*cos(ω*t + φ) + 33.64*C*cos(ω*t + φ) = 4*cos(ω*t).

To satisfy this equation, the coefficient of the cosine term must be 4, while the coefficient of the sine term must be zero. This gives us two equations: -ω^2*C + 33.64*C = 4 and -ω*C = 0. Solving these equations, we find C = 4/(33.64 - ω^2) and φ = 0. Therefore, the particular solution is x_p(t) = (4/(33.64 - ω^2))*cos(ω*t).

Finally, we combine the homogeneous solution and the particular solution to obtain the complete solution:

x(t) = x_h(t) + x_p(t) = A*cos(√33.64*t) + B*sin(√33.64*t) + (4/(33.64 - ω^2))*cos(ω*t).

By substituting the initial conditions x(0) = x'(0) = 0 into this equation, we can determine the values of A and B. With the obtained values, the final solution for the initial value problem can be expressed in terms of the given constants and the trigonometric functions involved.

Learn more about trigonometric functions here: https://brainly.com/question/25618616

#SPJ11

In a study of happiness 100 people rate the level of happiness on 1 to 10 scale; the kind of variable is this "quantitative".

The numbers you enter when collecting quantitative data represent real quantities which can be added, subtracted, divided, and so on. There are two kinds for quantitative variables: discrete variables and continuous variables.

Some characteristics of variables are-

To know more about the quantitative variables, here

https://brainly.com/question/14037311

#SPJ4

Answer:

V = 6079.04 ft³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then

V = 3.14 × 11² × 16

   = 3.14 × 121 × 16

  ≈ 6079.04 ft³ ( to the nearest hundredth )

Answer:

12

Step-by-step explanation:

17-5 and the 5/6 -1/2

Step-by-step explanation:

t = number of trumpet players.

s = number of saxophone players.

t = s - 10

s = 3t

we use the second in the first equation

t = 3t - 10

-2t = - 10

2t = 10

t = 5

s = 3t = 3×5 = 15

there are 5 trumpet players (and 15 sax players).

Answer:

820

Step-by-step explanation:

Answer:

27. x=7/20; 28. m= 3.7; 29. a= 5.8

30. x= 6; 31.x= 46

Step-by-step explanation:

27.

\(x + \frac{2}{3} = \frac{9}{ 10} \)

you are going to carry the 2/3 over the equal sign. This will make the 2/3 negative so...

\(x = \frac{9}{10} - \frac{2}{3} \)

now calculate it by finding the LCM of 10 and 3 ....this will be 30....you can just multiply the 10 and 3

now

30 into 10 goes 3 times....you will multiply this 3 with the 9 to get 27

30 into 3 goes 10 times...you will multiply this 10 with the 2 to get 20

\(x = \frac{27 - 20}{30}\)

\(x = \frac{7}{30} \)

Hopefully you understand

28.

\(1.2 = m - 2.5\)

\(1.2 + 2.5 = m\)

carry the 2.5 over the equal sign to get the m by itself...this is because you are trying to find m

when the negative number goes over the equal sign it will become positive...this is why you add it to the 1.2

m= 3.7

you can do the other on your own

the error in 30 is that the 7 should not be added to the 13 but subtracted

..this is because when you carry the positive number over the equal sign it will become negative..hence you subtract it

\(x + 7 = 13\)

\(x = 13 - 7\)

\(x = 6\)

and for 31...the 12 should not be subtracted but added since when it goes over the equal sign it will become positive.

\(34= y - 12\)

\(34 + 12 = y\)

\(y = 46\)

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

For more such questions on k-value, click on:

https://brainly.com/question/1978047

#SPJ8

Answer:

34,35,and 36

Step-by-step explanation:

x+x+1+x+2=105

3x+3=105 combine like terms on the left side

3x=102 subtract three on both sides

x=34 divide by three on both sides.

Hope this helps plz mark brainliest :D

The cross product and dot product of the vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ are ⟨10, 40, −54⟩ and -2 respectively.

For the given vectors, ⟨−4,−2,1⟩ and ⟨−2,0,−5⟩, the angle between them can be obtained using the formula given below.θ = arccos((A.B)/|A| |B|) Where A and B are vectors, A.B is the dot product of A and B, |A| is the magnitude of A, and |B| is the magnitude of B.

According to the above formula, the angle between the given vectors is given by,

θ = arccos(((-4)*(-2) + (-2)*0 + (1)*(-5))/√((-4)² + (-2)² + (1)²) √((-2)² + 0² + (-5)²))

θ = arccos((-8 - 5)/√21 √29)

θ = arccos(-1.224)

θ = 116.8 degrees

Therefore, the angle between the given vectors, ⟨−4,−2,1⟩ and ⟨−2,0,−5⟩, is 116.8 degrees.

Find the cross product and dot product of the vectors ⟨2,−7,5> and ⟨−8,−2,0>.

Let the given vectors be A and B. The cross product of A and B is given by the formula,

A x B = |i j k| |A1 A2 A3| |B1 B2 B3|

Where i, j, k are the unit vectors along the x, y, z-axes respectively, and |A1 A2 A3| and |B1 B2 B3| are the components of vectors A and B respectively.

Using the above formula, the cross product of the given vectors can be found as follows.

A x B = |i j k| |2 -7 5| |-8 -2 0|

= i(-7*0 - 5*(-2)) - j(2*0 - 5*(-8)) + k(2*(-2) - (-7)*(-8))

= ⟨10, 40, -54⟩

Therefore, the cross product of the given vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ is ⟨10, 40, −54⟩.

The dot product of the given vectors is given by the formula,

A.B = (A1*B1 + A2*B2 + A3*B3)

Using the above formula, the dot product of the given vectors can be found as follows.

A.B = 2*(-8) + (-7)*(-2) + 5*0

= -16 + 14 + 0

= -2

Therefore, the dot product of the given vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ is -2.

Thus, the cross product and dot product of the vectors ⟨2,−7,5⟩ and ⟨−8,−2,0⟩ are ⟨10, 40, −54⟩ and -2 respectively.

To know more about dot product visit:

brainly.com/question/30404163

#SPJ11

Answer:

58°

Step-by-step explanation:

Start with the equation 2x + 2 + 90 = 148

( I got the 90 from Angle B since it is a right angle.)

Combine like terms 2x + 92 = 148

( 90 and 2 didn't have variables so you could add them together.)

Subtract 92 from both sides 2x + 92 = 148

                                                      -92   -92

(The opposite of addition is subtraction.)

Now write out the new equation 2x = 56

Divide both sides by 2 \(\frac{2x}{2}\) = \(\frac{56}{2}\)

You'll end up with... x = 28

To find the measure of angle BAC, plug in 28 where the x value is 2(28) + 2

This gives you the answer 58°

Step 1: Add 3x to both sides to get 4 = 3x - 1

Step 2: Add 1 to both sides to get 5 = 3x

Step 3: Divide by 3 on both sides to get 5/3 = x

Answer:

x = \(\frac{5}{3}\)  or \(1 \frac{2}{3}\)

Step-by-step explanation:

Isolate the variable x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction.

~

Step 1:

Subtract 4 from both sides of the equation:

4 (-4) - 3x = -1 (-4)

-3x = -1 - 4

-3x = - 5

Step 2:

Divide -3 from both sides of the equation:

(-3x)/-3 = (-5)/-3

x = -5/-3

x = 5/3

x = 1 2/3