Answer:
First, remember that:
[tex]tan(x) = \frac{sin(x)}{cos(x)}[/tex]
and:
[tex]sec(x) = \frac{1}{cos(x)}[/tex]
Then we can rewrite the expression:
[tex]tan(x)*sin(x) + sec(x)*cos^2(x) = A[/tex]
Where A is an equivalent expression.
as:
[tex]\frac{sin(x)}{cos(x)} *sin(x) + \frac{1}{cos(x)}*cos^2(x) = A[/tex]
Then this is:
[tex]\frac{sin^2(x)}{cos(x)} + cos(x) = A[/tex]
Now we can multiply both sides by cos(x), then:
[tex](\frac{sin^2(x)}{cos(x)} + cos(x))*cos(x) = A*cos(x)[/tex]
[tex]sin^2(x) + cos^2(x) = A*cos(x)[/tex]
And we know that the left term of the above equation is equal to 1, then:
[tex]1 = A*cos(x)[/tex]
[tex]\frac{1}{cos(x)} = sec(x) = A[/tex]
And A is equivalent to the original expression, then we get:
[tex]tan(x)*sin(x) + sec(x)*cos^2(x) = sec(x)[/tex]
The simplification of the expression is sec(x)
f X ∼ B (10, 0.5 ) ( X is Binomial with n=10, p=0.5)
P(X = 9) =
(3 decimals)
X ∼ B (3, 0.5 )
P(X=1)=
(3 decimals)
X ∼ B (4, 0.5) ,
P(2 ≤ X ≤ 3) =
(3 decimals)
Answer:
r awver e
Step-by-step explanation:
w warw rwq
How do I go about solving this?
Answer:
you want to bring down the numbers.. so try 3 for the second one
Step-by-step explanation:
Can you plz help me plz
Jamal has 30 ounces of a 20% saline solution. This means 20% of the solution is salt. He combines this solution with 25 ounces of a 30% saline solution.
What is the total amount, in ounces, of salt in the combined mixture? Please help and please provide an explanation?
Answer:
12.5 or 12 1/2 (may be wrong)
Step-by-step explanation:
First I set up a formula to solve how many ounces of salt there were out of 30,
x/30=20/100, I crossed multiplied and got 5/30, next, I set up the same formula for how many ounces of salt there were out of 25, x/25=30/100, I got 7.5, the last thing I did was add them both together leading me to the answer 12.5 or 12 1/2. Hope this helps! Please say if I am wrong.
Round to the nearest 10,000: 634,727
Answer:
630,000
Step-by-step explanation:
not thing y ultimately
634727
Step-by-step explanation:
2 is in the 10,000 place so the number would stay the same
(Need help)
If there are 150 people born in the world every minute; how
many are born every Hour? Day? Year?
Step-by-step explanation:
150 x 60 = 9,000 every hour
9000 x 24 = 216,000 every day
216000x 365 = 78,840,000 every year
Answer:
Hour: 9,000 people
Day: 216,000 people
Year: 78,840,000 people
Step-by-step explanation:
In order to solve this, you need to identify how many minutes there are in an hour, a day, and a year:
Hour: 60 minutes
Day: 60 minutes × 24 hours = 1,440 minutes
Year: 60 minutes × 24 hours × 365 days = 525,600 minutes
Now, you need to multiply each of these numbers by 150 to find how many people are born every hour, day, and year:
Hour: 60 minutes × 150 people = 9,000 people
Day: 1,440 minutes × 150 people = 216,000 people
Year: 525,600 minutes × 150 people = 78,840,000 people
Use the pic for info will mark as brainlest
Answer:
B: 6
Step-by-step explanation:
lol sry i guess id know dis
17. Kayla is going to draw a net of a square pyramid.
How many triangles should there be in her
drawing?
Answer:
there should be 4 triangles
What is the relationship between the two triangles at right? Create a flowchart to justify your conclusion.
Answer:
[tex]3^{2}+4^{2}=JH^{2} \\\\9+16=25=JH^{2} \\\\JH=\sqrt{25} =5\\\\[/tex]
[tex]AB^{2} +6^{2} =10^{2} =100\\\\AB^{2} =100-36=64\\\\AB=\sqrt{64}=8\\[/tex]
all three pairs of appropriate sides of a triangle are proportional, the ratio is the same.
10/5=8/4=6/3=2 so the triangles are similar
hope it helps
a school rent a bus for 90 bucks if 72 students ride the bus what is the cost per student
Answer:
$1.25
Step-by-step explanation:
90 / 72 = the cost per student
90 / 72 = 1.25
I need help with this right now pls
Answer:C
Step-by-step explanation:
One shirt is represented as “y”
He ordered four shirts totaling $44
y+y+y+y =$44
Answer:
1. x = 462.30m
2. c
Step-by-step explanation:
1. Let "x" represent how much Samantha earns, and "m" represent how many months she has worked.
Because she makes $462.30 per month, if we multiply that by "m" then we will get x.
2. Kyle spend $44 on four sweaters total, which would make the total cost be evenly distributed into 4 sections.
3(12+x)=90 what does x equal
Answer:
36+x=90
90-36=x
x=54
Step-by-step explanation:
Answer:
3(12+x)=90
12+x=60
x=48
Let me know if this helps!
Relation between an event and a second event, where the second event is understood as a consequence of the first. which one
Group of answer choices
Exponential Growth
Rate of Change
Causation
Correlation
2. The value the item has changed to. Also known as the finished value (after).
Group of answer choices
Rate of Change
New Value
Skewed Distributions
Original Value
Answer:new value
Step-by-step explanation:
The angle are supplementary find the missing angle measure
I give you brainiest if you answer correct
Answer:
12. 50
13.41
Step-by-step explanation:
To find the supplement, subtract the number from 180. For instance for 13. Do 180-139 to find the supplement.
WILL GIVE BRAINLEST !
hAVE A GOOD DAy :)!
Answer:
1, 2 * 3^3 * 17
2, 8
Step-by-step explanation:
64 is perfect sqr root 8*8 = 64
As a student give one reason why we need to know if our client is comfortable in our service
Answer:
you need to know if your client is comfortable in your service so that if he or she is not comfortable you correct you mistake and make he or she comfortable
Step-by-step explanation:
HELP!!!!! What is the length plz help me besties
Answer: 30 inches
Step-by-step explanation:
20/8 = x/12
20(12) = 8x
240 = 8x = 30
What is the inverse of the function f(x) = 2x + 1?
Oh(x) =
1
2
Ex-
o hx) = x + 2
1
h(x) = x-2
2
Oh(x) =
2
1x+2
Answer:
(1/2)x-1/2 hope this is the answer if it's not then srr
The inverse of the function is h ( x ) = (1/2)x - 1/2
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 2x + 1
The inverse of the function is calculated by taking the x coordinate and replacing it with y
So , the function now becomes
x = 2y + 1
On simplifying , we get
Subtracting 1 on both sides , we get
2y = x - 1
Divide by 2 on both sides , we get
y = ( x - 1 ) / 2
Now , replacing y with x , we get
h ( x ) = ( x - 1 ) / 2
h ( x ) = ( 1/2 )x - ( 1/2 )
Hence , the inverse of the function is h ( x ) = ( x - 1 ) / 2
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ7
Suppose one of your friends was absent from school on the day your math class learned about graphing rational numbers on the number line. Using complete sentences, explain to your friend how to graph the opposite of 6.2 on the number line.
Answer:
So i would ask this friend to draw a number line and label 6.2 on the number line. Then i would ask her if she knew what the opposite number of 6.2 is.
Yes- The number line will always continue, its indefinite. This means it can go forward or backwards. Make sure that your friend wrote 0. You always need a starting point. Then tell her to draw the tally marks forward the same way she did backwards. Locate the 6.2 and make all of the numbers negative.
The complete sentences to explain to your friend how to graph the opposite of 6.2 on the number line as shown below.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Suppose one of your friends was absent from school on the day your math class learned about graphing rational numbers on the number line.
Hence, The complete sentences to explain to your friend how to graph the opposite of 6.2 on the number line as;
Firstly I would ask this friend to draw a number line and label 6.2 on the number line. Then I would ask her if she knew what the opposite number of 6.2 is.
Then, Make sure that your friend wrote 0. You always need a starting point. Then tell her to draw the tally marks forward the same way she did backwards. Locate the 6.2 and make all of the numbers negative.
Learn more about the number line visit:
brainly.com/question/28223520
#SPJ3
What is the inverse equation for f(x)=x+6
Answer:
y^-1 = x - 6
Step-by-step explanation:
change f(x) to 'y'
switch 'x' and 'y'
solve for 'y'
Answer:
Step-by-step explanation:
y = x + 6
x = y + 6
y + 6 = x
y = x - 6
f^-1(x) = x - 6
suppose v varies directly as g, and v= 36 when g = 4. find v when g=11
Answer:
v = 99 when g = 11
Step-by-step explanation:
Set this up as an equation
36/4 = v/11
Cross multiply
36 × 11 = 4 × v
396 = 4v
Divide both sides by 4 to isolate variable v
396 ÷ 4 = 4v ÷ 4
99 = 1v
99 = v
Arthur is a car salesman whose salary is $2,750 a month. He also receives a 5% commission on his car sales. For the month of February, he sells $86,500 in cars. How much money did Arthur earn in commission.
Answer:
4,325.00
Step-by-step explanation:
The question doesn't care what his base salary is, it is asking how much in commission, so total sales of 86,500 X 5% commission = 4,325.00
the number 43/5 as a decimal.
Answer:
8.6
Step-by-step explanation:
Sierra used 4 pears and 12 apples to make a fruit salad. What is the
simplified ratio of the number of pears to the number of apples in
the fruit salad?
Answer: 1:3
Step-by-step explanation: for every pear she uses 3 apples
Nicholas is buying shirts for his baseball team. He will pay $9.50 for each shirt plus a
one-time fee of $22.50 for the design. Which equation can be used to find y, the total cost to buy x shirts?
A. y = 9.5x + 22.5
B. y = 22.5x + 9.5
C. y = 9.5x - 22.5
D. y = 22.5x - 9.5
Answer:
A
Step-by-step explanation:
cause x shirts times 9.5(the price of shirt)+ one time fee
What would the measurement at the top be?
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is ||32|| cm||^2||.
Find the dimensions of the rectangle.
(2 marks)
cm
~ Width =
cm
O Height =
Submit Answer
Skip for Now
ㅇ
a
1
in here to search
Answer: length = 8cm
Width = 4cm
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x
Note that, Area of a rectangle = Length × Width
Therefore,
2x × x = 32
2x² = 32
Divide both side by 2
2x²/2 = 32/2
x² = 16
x = ✓16
x = 4
Therefore, width = 4cm
Since length = 2x
Length = 2 × 4cm = 8cm
Check: length × width = Area
8cm × 4cm = 32cm²
PLEASE HELP QUICK If the bill is $47.96 and you leave a 15% tip, what is the tip amount?
Suggested 35 and 1/4% of 50 is
what number?
Answer:
47.5
Step-by-step explanation:
The computation is shown below:
Given that
The recommended is 35
And one fourth of 50 should be
= 1 ÷ 4 × 50
= 12.5
So, the number is
= 35 + 12.5
= 47.5
merhaba arkadaşlar ben Avustralya geldi o ben türkçe bane yerdam edip
Answer:
Step-by-step explanation:
1 saat = 60 dakika
30 dakika = yarım saat
60 dakika = 1 saat
240 dakika = 240 / 60 = 4 saat
80 dakika = 60 + 20 = 1 saat 20 dakika