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MariettaO [177]
2 years ago
14

What is the period of the function f(x) = -4 cos(5x-9) - 7? Give an exact value. units

Mathematics
2 answers:
ehidna [41]2 years ago
5 0

Answer:

2pi/5

Step-by-step explanation:

The only thing in this equation that affect the period is the '5' in front of the 'x'

cos period is usually 2pi

 this is compressed by 5    

    period = 2pi/ 5

N76 [4]2 years ago
4 0

General equation

  • y=Acos(Bx+C)+D

Our Equation

  • y=-4cos(5x-9)-7

On comparing

  • A=-4
  • B=5
  • C=-9
  • D=-7

Now

Period

  • 2π/B
  • 2π/5
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Please help! I will give you brainliest answer if you answer first and correctly, plus you have to explain!
guapka [62]
Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now

(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30

Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120

There are 120 girls at Deacon Middle School

-----------------------------------------

Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y

(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20

making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100

so there are 100 girls at Meadow Middle School

-----------------------------------------

In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools

This is out of 270+180 = 450 students total

Divide the two values (220 and 450) to get
220/450 = 22/45

The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45

7 0
3 years ago
List the markup and retail price of each item. Round to two decimal places when necessary. A shirt item price is $33.75 and the
kifflom [539]

Answer:

markup price = $25.31

retail price = $59.06

Step-by-step explanation:

Markup price is 75% OF 33.75

Retail price is original price (33.75) PLUS the markup price (to be found)

Firstly, converting a percentage to a decimal is simple. We simply divide by 100. So:

75% = 75/100 = 0.75

Now, to find markup, we multiply:

33.75 * 0.75 = $25.31

Now, the retail price is SUM of original and markup, that would be:

retail price = 33.75 + 25.31 = $59.06

Thus,

markup price = $25.31

retail price = $59.06

4 0
3 years ago
Robert's car uses 5 gallons of gas to cover 170 miles. At this rate, how many gallons will he need for a 255-mile trip?
Talja [164]
170/5 = 34 mi/gallon
255/34 = 7.5 gallons
4 0
3 years ago
Round the decimal two hundred twenty-one and five hundred seventy four thousandths to the nearest tenth
jonny [76]

Answer:

221.6

Step-by-step explanation:

The statement above can be expressed as

221 [574/1000]

221.574 [ 5 represent tenth; 7 represent hundredth; 4 represent thousandth]

Hence to the nearest tenth would be;

221.6 [ since 7 is more than 5 we round up to 1 to add up to the preceding number]

7 0
3 years ago
Read 2 more answers
When accessing your credit card ,information online you cannot
lisabon 2012 [21]

Answer:

C. make purchases

Step-by-step explanation:

took the test

5 0
3 years ago
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