I really need help with this I am really struggling

Answer:

true

Step-by-step explanation:

25% of 72

25/100 * 72

= 1/4 * 72

= 18

The given function for the height of the Ferris wheel is a sinusoidal equation.

Reasons:

The function that gives the height of the Ferris wheel is presented as follows;

[tex]\displaystyle y = 30.48 \cdot cos \frac{2\cdot \pi }{4.25} \cdot \left(x - 2 \right) + 34.27[/tex]

Where;

x = The number of minutes since the ride began

y = The height in feet of Emily

a) Required:

The radius of the Ferris wheel

Solution:

Comparing the given equation with the general equation of a Ferris wheel, we have;

[tex]\displaystyle f(t) = \mathbf{A \cdot trig\left(B \cdot \left(t + C\right) \right) + D}[/tex]

The amplitude of the Ferris wheel = A = 30.48

The amplitude, A = The largest distance from the center = The radius, r

A = r

Therefore;

The radius of the Ferris wheel, r = A = 30.48 feet

b) The time it takes the Emily to make one rotation is given by the period, T, of the motion of the Ferris wheel as follows;

[tex]\displaystyle T = \mathbf{\frac{2 \cdot \pi}{B}}[/tex]

By comparison, we have;

[tex]\displaystyle B = \frac{2 \cdot \pi}{4.25}[/tex]

Therefore;

[tex]\displaystyle The \ period, \, T = \frac{2 \cdot \pi}{\left(\frac{2 \cdot \pi}{4.25} \right)} = 4.25[/tex]

The time it takes Emily to make one rotation, T = 4.25 minutes

Learn more here:

https://brainly.com/question/21165143

Answer:

y=(7/4)x + 12, y=(-4/7)x -46/7

Step-by-step explanation:

first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12

parallel:

since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7

No. of people don't like to be teacher

= 100% - 75% = 25%

So, 15 number of students doesn't like to be teacher

Answer:

[tex] \because \:l_{1} \parallel \: l_{2} \\ \therefore m_{1} = m_{2} = \frac{1}{2} \\ \frac{y - 6}{x + 3} = \frac{1}{2} \\ y - 6 = \frac{1}{2}x + \frac{3}{2} \\ y = \frac{1}{2}x + \frac{3}{2} + 6\\ y = \frac{1}{2}x + \frac{15}{2}[/tex]

Answer:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=\displaystyle\frac{1}{2} x+5[/tex]

From the given equation, we can tell that the slope is [tex]\displaystyle\frac{1}{2}[/tex]. Because parallel lines always have the same slope, the slope of the line we're solving for is therefore [tex]\displaystyle\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2}x+b[/tex]

We're given that the line passes through the point (-3,6). Plug this into [tex]y=\displaystyle\frac{1}{2}x+b[/tex] and solve for b:

[tex]6=\displaystyle\frac{1}{2}(-3)+b\\\\6=\displaystyle\frac{-3}{2}+b\\\\b=\frac{15}{2}[/tex]

Therefore, the y-intercept is [tex]\displaystyle\frac{15}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{1}{2}x+\displaystyle\frac{15}{2}[/tex]

I hope this helps!

Answer:

315

Step-by-step explanation:

Using the z-distribution, it is found that the p-value for this test is of 0.0375.

At the null hypothesis, it is tested if the expenses are the same as the national average, that is, of $5,423. Hence:

[tex]H_0: \mu = 5423[/tex]

At the alternative hypothesis, it is tested if it is higher, hence:

[tex]H_1: \mu > 5423[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 5516, \mu = 5423, \sigma = 979, n = 352[/tex]

The value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{5516 - 5423}{\frac{979}{\sqrt{352}}}[/tex]

[tex]z = 1.78[/tex]

The p-value is the probability of finding a sample mean above $5,516, which is 1 subtracted by the p-value of z = 1.78.

1 - 0.9625 = 0.0375

Hence, the p-value for this test is of 0.0375.

A similar problem is given at https://brainly.com/question/25549474

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

Answer:

m∠E=57°

Step-by-step explanation:

∠FDE=∠FED=(4x+1)° (base angles of isos triangle)

2(4x+1)+(5x-4)=180 (angle sum of triangle)

    8x+2+5x-4=180

             13x-2=180

                 13x=180+2

                       =182

                     x=182÷13

                       =14

Hence, m∠E = (4x+1)°

                     = [4(14)+1]°

                     = (56+1)°

                     = 57°

Answer:

m∠E=57º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(4x+1)+(4x+1)+(5x-4)=180

Remove parentheses.

4x+1+4x+1+5x-4=180

Collect like terms.

13x+1+1-4=180

Add and subtract.

13x-2=180

Add 2 from both sides of the equation.

13x=182

Divide 13 from both sides of the equation.

x=14

m∠E=(4x+1)º

4x14+1=57º

m∠E=57º

Hope this helps :)

What are you asking?

Answer:

the prime factorization of 72 is : 2 × 2 × 2 × 3 × 3 =

Step-by-step explanation:

Step-by-step explanation:

2 = 0.5^x - 4 is the same as

6 = 0.5^x

x is the logarithm of 6 to the base of 0.5.

which is the same as

log(6)/log(0.5) = -2.584962501...

Answer:

the prime numbers between 30 and 59 are 31, 37, 41, 43, 47, 53

Answer:

6/8

Step-by-step explanation:

you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8

reduce if you can

The cost of the shipping a 12 pound chair is 5.4 all you need to do is 0.45 x 12 =5.4

0.45=Y 5.3=X

Answer:

[tex]\huge\boxed{-\frac{7}{8}a - \frac{1}{6}}[/tex]

Step-by-step explanation:

This question utilizes combining like terms and common denominators. First you have to convert both terms including "a" to have a denominator of 8. You would do this by multiplying both the numerator, and the denominator by the same value. This value in the case of [tex]-\frac{1}{4} a[/tex] would be 2, and in the case of [tex]\frac{2}{3}[/tex] the value would be 2. This would result in the equation: [tex]-\frac{5}{8}a+\frac{4}{6}-\frac{2}{8}a-\frac{5}{6}[/tex]. Then simply combine like terms to get your final answer.

Step-by-step explanation:

brand a is better option why because we have paint and paint roller

If you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Suppose y is the total cost and x is the gallons cases,

The equations according to the given condition are,

y = 27 x + 3

y = 2x +5

The values obtained after solving the above equation will be (1,30). As a result, 1 gallon of paint cost you $ 30.

For condition 2 Juanita needs 15 gallons of paint, x =15

For A, y = 408

For B, y = 380

The brands A and B cost $408 and $380.So the brand costs Juanita more.

Thus, if you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ5

Answer:

3

Step-by-step explanation:

12+14+5=31

so therefor 34-31=3

I'm not too sure but, wouldn't you just do the following

12 + 14 + 5 = 31

which would mean 15 students do art??

Answer:

x = 4, y = 0

Step-by-step explanation:

Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

1.

The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 1 - ¹/₄

The first subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is

1 - ¹/₄ = ¹/₁ - ¹/₄

taking the L.C.M which is 4, we have

= (4 - 1)/4

= 3/4

So, the first subtraction problem is 1 - ¹/₄

2.

The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is 2¹/₂ - 1³/₄

The second subtraction problem that will use only odd numbers as numerators and have a difference of 3/4 is

2¹/₂ - 1³/₄ = ⁵/₂ - ⁷/₄

taking the L.C.M which is 4, we have

= (10 - 7)/4

= 3/4

So, the second subtraction problem is 2¹/₂ - 1³/₄

Learn more about subtraction of fractions here:

https://brainly.com/question/8917933

Using the slope - intercept form to represent the scenario described, the equation obtained would be y = 0.35x + 8

The cost per ride represents the intercept = $8

The cost per mile represents the slope = $0.35

The slope - intercept form of a linear equation is expressed as :

Therefore, the slope intercept form for the cost of taxi ride is y = 0.35x + 8

Learn more : https://brainly.com/question/18796573

Answer:

  -9

Step-by-step explanation:

  2.6×10^-2 = (5.2×10^7)/(2×10^n) = (5.2/2)×10^(7-n)

  2.6×10^-2 = 2.6×10^(7-n)

The mantissas are equal, so we can equate the exponents:

  -2 = 7 -n

  n = 7 +2 = 9 . . . . . . add n+2

The value of n in the equation is 9.

Answer:10

Step-by-step explanation:

Answer:

  both ends tend toward negative infinity

Step-by-step explanation:

The ends of an even-degree polynomial go in the same direction. The sign of that direction matches the sign of the leading coefficient.

Here, the leading coefficient is negative, so ...

  y → -∞   when   x → ±∞

Answer:

sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The square root of 9 is 3.

√9=3

Hope this helps :)

Answer:

1000%

Step-by-step explanation:

just multiply both

brainliest pls

Answer:

10

Step-by-step explanation:

 20 x 50

    100  

Set up a proportion:

2.4/480 = x/380

Cross Multiply:

480x = 912

Divide both sides by 480:

x = 1.9

Answer: 1.9 cm thick

Answer:

  28y^3 -35y^5

Step-by-step explanation:

  = 7y^3(4) -7y^3(5y^2)

  = 28y^3 -35y^5

_____

The applicable rule of exponents is ...

  (y^a)(y^b) = y^(a+b)