7. Which expression is equivalent to the expression (5.5 X 107)(3.2 x 10') 2 X 105
A. 8.8 x 1011
B. 8.8 x 1021
C. 1.74 x 105
D. 1.74 x 1017​

Answer:

7i/sqrt(2)

Step-by-step explanation:

so, if I understand correctly, the equation is

(22-16)(2x² + 49) = 0

6(2x² + 49) = 0

that automatically means

2x² + 49 = 0

2x² = -49

x² = -49/2

x = sqrt(-49/2)

a square root of a negative number has no real solution. the solution is in the world of complex and imaginary numbers, which bases on the sqrt(-1) = i.

so, we get

x = sqrt(49/2 × -1) = (7/sqrt(2)) × I = 7i/sqrt(2)

Answer:

If the first die is changed from a six-sided to an eight-sided die, add two rows to the bottom of the table and number them 7 and 8.

Step-by-step explanation:

Answer:

If the second die is changed from a six-sided to an eight-sided die, add two columns to the right of the table and number them 7 and 8.

Step-by-step explanation:

Cos( 30 ) = 19√3 / x

√3 / 2 = 19√3 / x

Simplify √3 from both sides

1 / 2 = 19 / x

Multiply both sides by x

1 /2 × x = 19 / x × x

x / 2 = 19

Multiply both sides by 2

x / 2 × 2 = 19 × 2

x = 38

_____________________________

Sin( 30 ) = y / x

1 / 2 = y / 38

Multiply both sides by 38

38 × 1 / 2 = 38 × y / 38

38 / 2 = y

19 = y

y = 19

Answer:

45.0

Step-by-step explanation:

you are going to multiple them you are going to have 45 then to the nearest tenth which is 45.0

Answer:

33.4

Step-by-step explanation:

tan50 = x/28

x =28tan50 = 33.3691 = 33.4 (nearest tenth)

Answer:

Step-by-step explanation:

Let,

Footprints that Adele will find be = f

So, Footprints that Yumiko finds = 2f = f + f

Since,

As given that,

Yumiko finds 16 Footprints so it will be,

2f = f + f = 16

And,

f = 16 / 2

= 8

Which is half of Footprints found by Yumiko.

So the bar model 1 represents it correct.

Answer:

option 1

Step-by-step explanation:

i did the quiz

Answer:

28° because this is an isosceles triangle, and isosceles triangles have congruent base angles.

Answer:

A or 28

Step-by-step explanation:

Cause if both of the sides is 6, than that means that its equal. So 28 on one side and 28 on the other.

Answer:

11.3 feet

Step-by-step explanation:

let x= answer

x²+4²=12²

x²=128

x=11.3137085

which rounds to

11.3

Answer:

≈ 11.3 ft.

Step-by-step explanation:

In order to solve this, we must use some trigonometry, in this case, SOH-CAH-TOA. If you don't know what it is, here's a quick explanation:

- SOH: Sin(θ) = Opposite / Hypotenuse

- CAH: Cos(θ) = Adjacent / Hypotenuse

- TOA: Tan(θ) = Opposite / Adjacent

(Remember, SOH-CAH-TOA can ONLY be used for right triangles. If the problem does not clearly show a right triangle, meaning that there's no box in the corner, you cannot use it)

When using SOH-CAH-TOA, we first must choose an angle, either the top one or the bottom one. We can't use the right angle as, well, you just can't :). First, we have to find the bottom angle, so circle it. Literally, just circle the angle, you'll thank me later. I'll explain why we don't solve the top angle later on.

After that, we just do some labeling on the sides of the triangle. First, label the shortest side that forms the circled angle, which is the floor (4 ft), as the Adjacent side. Then label the longest side of the triangle, which is the ladder (12 ft), as the Hypotenuse. Finally, label the side that doesn't form the circled angle as the Opposite side. This is why the circling comes in handy :)

Then, out of SOH, CAH, and TOA, we choose the one that has the sides that forms the circled angle. In this case, it's CAH, or cosine, as the adjacent and hypotenuse form the circled angle.

Next, we write out the formula and solve:

Cos(m∠Circled Angle) = Adjacent/Hypotenuse

Cos(m∠Circled Angle) = 4/12

Cos(m∠Circled Angle) x Cos^-1 = 1/3 x Cos^-1

m∠Circled Angle ≈ 70.5288 (Rounding to the nearest ten-thousandth)

Note: Pay attention to the 3rd line. 'Cos^-1' is basically the equivalent of '÷ Cos'.

The reason why we did the bottom angle first is because you cannot have two unknown variables when solving for one of them. That would've been the case if we did choose the top angle as we wouldn't know the measure of the wall nor the angle. Now that we have solved the bottom angle, we can move onto solving the length of the wall.

Looking at SOH-CAH-TOA, we can either use sine or tangent as we have the measures for both the adjacent and hypotenuse. I'll use sine cause why not? Anyways, let's move on!

Just like last time, we write out the formula and solve:

Sin(m∠Circled Angle) = Opposite/Hypotenuse

Sin(70.5288) = Opposite/12

0.9428 = Opposite/12

0.9428 x 12 = Opposite/12 x 12

11.3137 ≈ Opposite (Wall)

Wall ≈ 11.3 ft. (Rounding to the nearest tenth, as asked to do so by the problem)

Note: Be careful with SOH-CAH-TOA because I've messed up multiple times with my calculator while typing out my explanation, so just make sure you go over it several times before submitting your answer when solving trig problems :). But I'm confident with my answer, so just submit it without hesitation as I've already double-checked my work.

Answer:

x = -3/2 or x= sqareroot41/2

Step-by-step explanation:

Answer:

emily fills 3 racks

3 basketballs are Left!

Step-by-step explanation:

15/4 = 3.3

Answer:

even i dont know can help

Answer:

Round 1 = 0 points

Round 2 = 17 points

Round 3 = 25 points

Round 4 = 75 points

Step-by-step explanation:

Determine how many points will be scored in each round in correspondence to the variable 'x':

Round 1:

0(x)

Round 2:

x

Round 3:

x+8

Round 4:

3(x+8)

We know that the sum of all points made in all rounds is 117. Using this information, we can make an equation:

0(x)+x+(x+8)+[3(x+8)]=117

Now, we solve for x:

x+x+8+3x+24=117

5x+32=117

5x=117-32

5x=85

[tex]\frac{5x}{5} =\frac{85}{5}[/tex]

x=17

Now we substitute the calculated value for x in each round:

Round 1:

0(17)=0

Round 2:

(17)=17

Round 3:

(17)+8= 25

Round 4:

(25)*3=  75

Answer:

d may cause f.

Step-by-step explanation:

Here are the options

d must not cause f.

f must cause d.

d must cause f.

d may cause f.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

1. Positive correlation : it mean that the two variables move in the same direction. If one variable increases, the other variable also increases.

For example, there should be a positive correlation between quantity supplied and price

When there is a positive correlation, the graph of the variables is upward sloping

2. Negative correlation :  it mean that the two variables move in different direction. If one variable increases, the other variable decreases.

For example, there should be a negative correlation between quantity demanded and price

When there is a negative correlation, the graph of the variables is downward sloping

3. Zero correlation : there is no relationship between the variables

Answer:

6 minutes

Step-by-step explanation:

The equation for time together is

1/a+1/b = 1/c  where a and b are the times alone and c is the time together

1/10 + 1/15 = 1/c

Multiply by the  least common denominator to clear the fraction

30c(1/10 + 1/15 = 1/c)

3c+ 2c = 30

5c = 30

Divide by 5

5c/5 = 30/5

c = 6

Answer:

6 minutes

Step-by-step explanation:

Person A does 1 job in 10 minutes.

In 1 minute, person A does 1/10 of the job.

Person B does the same job in 15 minutes.

In 1 minute, person B does 1/15 of the job.

Working together, in 1 minute the do

1/10 + 1/15 of the job.

Working together, they take t minutes to do the job.

In 1 minute, they do 1/t of the job.

1/10 + 1/15 = 1/t

3/30 + 2/30 = 1/t

5/30 = 1/t

1/6 = 1/t

t = 6

[tex]\huge\underline\blue{✏ANSWER}[/tex]

(no answer found.)

(maybe can found on other apps?)

#BrainliestBunch

Answer:

12

Step-by-step explanation:

1) Vector AB (-2-(-6); -1-(-1))= (4; 0). Vector module is module AB=sqrt (4*4+0*0)= 4

2) The module of Vector BC is sqrt((-1-(-2))*(-1 - (-2))+ (-4-(-1))* (-4-(-1))= sqrt (9+1)= sqrt 10.

3) The module of AC is sqrt ((-1-(-6))*(-1-(-6))+ (-4-(-1))*(-4-(-1))= sqrt (25+9)= sqrt 34.

4) Having the triangle with the sides AB, BC, AC use the theorem of cos:

sqrt34*sqrt34= sqrt 10*sqrt 10 + 4*4- 2*sqrt10*4*cosB

34-10-16= -8 sqrt 10*cosB

c0sB= (-1)/ sqrt10

5) Find out sinB that is equal to Sqrt (1- ((-1)/sqrt 10)* ((-1)/sqrt10))= sqrt (9/10)= 3/sqrt10.

6)S= 4*sqrt10*3/sqrt10= 4*3=12. The area is equal to 12.

Answer:

P(t) = 14300e^0.07t

Step-by-step explanation:

Let :

Population as a function of years, t = P(t) ;

Growth rate, r = 7%

Estimated population on year 2000 = Initial population = 14300

The given scenario can be modeled using an exponential function as the change in population is based in a certain percentage increase per period.

P(t) = Initial population*e^rt

P(t) = 14300*e^(0.07t)

P(t) = 14300e^0.07t

Where, t = number of years after year 2000.

Let the perimeter be 100cm

Then value of x = 100/4

x = 25cm

Answered by Gauthmath must click thanks and mark brainliest

Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.

In a function, one value of the input can be related to only one value of the output.

In this problem, the input is the month and the output is the possible number of days in the month.

Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.

You can learn more about the function concept at https://brainly.com/question/12463448

Answer:

divide by

Step-by-step explanation:

-4m = 8

Divide each side by -4

-4m/-4 = 8/-4

m = -2

Answer:

[tex]{18}[/tex]

Step-by-step explanation:

[tex] \sqrt{(2 - 5) {}^{2} + ( 2 - 5) {}^{2} } [/tex]

[tex] = \sqrt{( - 3) {}^{2} + ( - 3) {}^{2} } [/tex]

[tex] = \sqrt{9 + 9} [/tex]

[tex] = \sqrt{18}[/tex]

Answered by GAUTHMATH

Answer:

? more information needed

Step-by-step explanation:

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

Learn more about numbers click;

https://brainly.com/question/24908711

#SPJ4

The most significant difference between the static and current electricity is that in static electricity the charges are at rest and they are accumulating on the surface of the insulator. Whereas in current electricity the electrons are moving inside the conductor.

Hope this helps I don't even know if your looking for this.

Answer:

8 and 6 is the answer.......

Answer: Option C.

Step-by-step explanation: any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles .

Answer:

C

Step-by-step explanation:

Given 2 intersecting chords in a circle, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

DK × KB = AK × KC , substitute values

12(4x + 1) = 14(3 + 3x) ← distribute parenthesis on both sides )

48x + 12 = 42 + 42x ( subtract 42x from both sides )

6x + 12 = 42 ( subtract 12 from both sides )

6x = 30 ( divide both sides by 6 )

x = 5 → C

At a rate of interest of 3.86% compounded annually investment will be tripled.

that is how i was taut, sorry if is wrong

Answer:

A) (√3-√2)/(√3+√2)

Step-by-step explanation:

i think so