in a scientific notation, M •10^n must be greater than or equal to 1 and less than

Answer:

(1+sin2A+cos2A) ^2=4cos^2A(1+sin2A)

Step-by-step explanation:

Here,

L.H.S=(1+sin2A+cos2A)^2

=(1+2sinAcosA+2cos^2A-1)^2

=(2sinAcosA+2cos^2A)^2

={2cosA(sinA+cosA)}^2

=4cos^2A(sinA+cosA)^2

=4cos^2A(sin^2A+2sinA.cosA+cos^2A)

=4cos^2A(sin^2A+cos^A+2sinAcosA)

=4cos^2A(1+sin2A)

=R.H.S

Hence,L.H.S=R.H.S.

(1+sin2A+cos2A)^2=4cos^2A(1+sin2A).

proved.

Answer:

Step-by-step explanation:

[tex]5 ^{2x} = 3(2^{x} )[/tex]

[tex]x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \mathrm{ }:\quad x=0.43496 \right)[/tex]

Answer:

21 Harry picks his National Lottery numbers by choosing the first six prime numbers.

Step-by-step explanation:

Answer:

?= 60

Step-by-step explanation:

yep, that's the answer

Answer:

[tex]\frac{9}{25}[/tex]

Step-by-step explanation:

to covert persentage to fraction we must divide it by 100

[tex]\frac{36}{100}[/tex]  now we have to simplify it divide by 2 till you get simplified

the last simplified answer is : [tex]\frac{9}{25}[/tex]

Answer:

20.

As P is the mid point so

2x + 3 = x + 7

transpose

2x - x = 7 -3

x = 4

21.

4x + 3 = 8x - 11

transpose

4x - 8x = -11 -3

-4x = -14

x = 14/4

x = 7/2

x can also be 3.5

22.

7x - 3 = 5x + 2

transpose

7x - 5x = 2 + 3

2x = 5

x = 5/2

x can also be 2.5

Answer and Step-by-step explanation:

19.

We see that AB bisects PQ, forming the two angles we are given. These two added together is equal to 180 (because they are supplementary angles, which add up to 180 degrees).

So, add them together, set it to 180, and solve for x.

6 + 2x + 4 = 180

Combine like terms.

10 + 2x = 180

Subtract 10 from both sides from the equation.

2x = 170

Divide by 2 on both sides of the equation.

x = 85 <- This is the answer.

For the following problems, since we know that point P is bisecting the segments, it means that it is splitting the segment in half, creating two equal parts. This means that all we have to do is set the two segments equal to each other.

20.

2x + 3 = x + 7

Subtract 3 and subtract x from both sides of the equation.

x = 4 <- This is the answer.

21.

4x + 3 = 8x - 11

Add 11 and subtract 4x to and from both sides of the equation.

14 = 4x

Divide by 4 from both sides of the equation.

x = [tex]\frac{14}{4} =\frac{7}{2} =(3.5)[/tex] < - This is the answer.

22.

7x - 3 = 5x + 2

Subtract 5x from both sides of the equation and add 3 to both sides of the equation.

2x = 5

Divide both sides by 2.

x = [tex]\frac{5}{2} = 2.5[/tex] <- This is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

its helpful to plan out what youre going to do before you do it, as it can get confusing and you may get lost in the process if you dive right into it

Answer:

8 is the answer

have a great day

Answer:

x = 8

Step-by-step explanation:

Hi there!

[tex]\displaystyle\frac{9}{24}=\frac{3}{x}[/tex]

9/24 can be simplified by dividing both the numerator and denominator by 3:

[tex]\displaystyle\frac{9\div3}{24\div3}=\frac{3}{x}\\\\\\\frac{3}{8} =\frac{3}{x} \\\\\\x=8[/tex]

Therefore, x is 8.

I hope this helps!

Answer:

A. exponential; y = 89 • 0.62x

Step-by-step explanation:

exponential; y = 89 • 0.62^x

Answer:

Option B exponential y = 89 · 0.62x

Step-by-step explanation:

The table shows the estimated number of deer living in a forest over a five year period.

Year            Number of deers

0                     89

1                      55

2                     34

3                     21

4                     13

Now we have to find the model representing this situation. Difference in number of deer, in the forest.

We can see there is a common ratio between each successive term r =  = 0.618

r =  = 0.618

so it can be represented by an exponential model.

Answer:

c

Step-by-step explanation:

first term=1

common d=4

nth term=a+(n-1)d

7881=1+(n-1)4

7881=1+4n-4

7884=4n

n=1971

Starting with n = 0, the n-th term in the sequence is

4n + 1

so any number in the sequence must have a remainder of 1 when divided by 4.

We have

4551 = 1137×4 + 3

10091 = 2522×4 + 3

7881 = 1970×4 + 1

13351 = 3382×4 + 3

Step-by-step explanation:

steps are in picture above.

Note:if you need to ask any question please let me know.

Answer:

yes

Step-by-step explanation:

try using a vertical line, if you move the vertical line across the graph and the line touches the graph only at one point, than it means it is a function

Answer:

This graph represents a function

Step-by-step explanation:

By its definition, a function is a relation or a correlation between two sets (groups) of values where every input corresponds to only one output. What this means is that every input in a function can only have one output. This characteristic results in a unique property in the graph of a function, that is, the verticle line test.  The verticle line test states that when one draws a line through the graph of a function, the line can only intersect the graph in exactly one place in the function. If the line intersects the graph in more than one place, then the graph does not represent a function. In the given situation, any verticle line drawn on the graph only intersects the graph in one place, thus the graph represents a function.

Answer:

#1. it is 25

#2. It is 0-9

Answer:

ok first there is a problem here there are actually 5280 NOT 5380 feet in a mile. Is this a typo or are you to assume a different length of a mile?

I will stick with the real value of 5280...

5280 feet/ mile * 0.62137119 miles/ km = 3280 f/km

3280 f/km / 4000 feet = .82 km

Step-by-step explanation:

Step-by-step explanation:

With Dogs only: 15 - (5+4) = 6

With Cats only: 12 - (5+2) = 5

With Birds only: 8 - (4+2) = 2

With dogs and cats: 5

With birds and dogs: 4

With cats and birds: 2

With dogs, cats, and birds : 0

Total students surveyed: 35

6 + 5 + 2 +5 + 4 + 2 = 24 students with pets

35 - 24 = 11 students have no pets

Answer:

The answer is only 6 have dogs

Step-by-step explanation:

B + C + D - B∩C - B∩D - C∩D + B∩C∩D + x = 35

8 + 12 + 15 - 2 - 4 - 5 + 0 + x = 35

With Dogs only: 15 - (5+4) = 6

Just in case, we can calculate the others too:

With Cats only: 12 - (5+2) = 5

With Birds only: 8 - (4+2) = 2

With dogs and cats: 5

With birds and dogs: 4

With cats and birds: 2

With dogs, cats, and birds : 0

Total students surveyed: 35

6 + 5 + 2 + 5 + 4 + 2 = 24 students with pets

35 - 24 = 11 students have no pets

Hey there! I'm happy to help!

To find the hypotenuse of a right triangle given two legs, you use the Pythagorean Theorem.

a²+b²=c², where a and b are the legs and c is the hypotenuse.

Let's plug our values into the equation and solve for c (our hypotenuse).

75²+100²=c²

Square the numbers

5625+10000=c²

Add them

c²=25625

Square root both sides

c=125

Have a wonderful day and keep on learning! :D

Answer:

Given:

Solving for y in steps

Multiply both sides by m:

Add 3b to both sides:

Divide both sides by 3:

Answer:

Let X equal the remaining time she needs to practice.

You would have 2x

The combined total needs to be 6 hours or greater.

You need to add the amount she already practiced to 2x.

Now you have: three and one fourth + 2x

This needs to be greater than or equal to 6.

Ans:- three and one fourth + 2x ≥ 6

Answer:

1 hour and half an hour

Step-by-step explanation:

cause 3 hours minus 1 hour minus half an hour equal to 1 hour and half, hope this help u

Answer:

y = -9x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

Therefore, the equation is y = -9x + 6.

Answer:

let n= the number

n÷5 +3=4

Step-by-step explanation:

Answer:

-3 - 2i

Step-by-step explanation:

conjugate of a+bi is a-bi, so conjugate of -3 + 2i = -3 - 2i

Answer:

b

Step-by-step explanation:

it doesn't go to the y or x axis so  B is it

Answer:

Y=45

Step-by-step explanation:

Y=2xz+x+z

Y=2×3×6+3+6

Y=36+9

Y=45

Answer:

134.61 is the answer . hope This helps

Answer:

The answer is 134.61

Step-by-step explanation:

We have, 26% × x = 35

Or, 26/100 × x = 35

We have: x = 35 × 100/26

35×100 = 3,500

3,500 ÷ 26 = 134.61

x = 134.61

If you use a calculator, simply put 35×100÷26, which will give you the answer.

Answer:

X=4

Step-by-step explanation:

Move the variable to the left side

13-4x+x=1

Subtract 13 on both sides

13-4x+x=1

-13         -13

Collect the like terms

-3x= -12

Divide both side4s by -3

-3x/-3= -12/-3

Answer:

X=4

Step-by-step explanation:

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

Substitute x=4,

[tex]f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2[/tex]