What is the prime factorization of 97?

Answer:

1) A = (3 + 5·i) + (2  - 3·i)

2) A = (-3 + 5·i) + (-2  - 3·i)

3) A = (-3 + 5·i) + (2  + 3·i)

4) A = (3 - 5·i) + (2  + 3·i)

Step-by-step explanation:

1) For the first chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 + 5·i) + (2  - 3·i)

2) For the second chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (-2  - 3·i)

3) For the third chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (2  + 3·i)

4) For the fourth chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 - 5·i) + (2  + 3·i)

Answer:

[tex]\boxed{}[/tex] =1,000

Step-by-step explanation:

We want to solve: [tex]2{,}000 \times 9[/tex]

Now, 2000=1000 X 2

We were given the following steps:

[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]

Therefore, the blank space is to be filled with 1000.

[tex]2{,}000 \times 9 =18{,}000[/tex]

Answer:

Calculate 6-(-4)-5

so : 6-(-4)-5 = 5

The Answer is  5

if you calculate it you get 5

Answer:

Does this help?

Step-by-step explanation:

Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.

Answer:

b

Step-by-step explanation:

not a because equilateral would be all equal

scalene is all different

Answer:

scalene

Step-by-step explanation:

because all  sides are different.

Answer

D: 132 ft

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

The formula for circumference is C = 2 x pi x radius

c = 2 x 22/7 x 21

C = 132

The circumference is 132 feet

Answer:

radius =6, circumference=37.7 m

Step-by-step explanation:

radius=12/6, circumference=2*pie*r

2*22/7*6=37.7 m

Answer:

Circumference of a circle = 2πr

where r is the radius

radius = diameter / 2

radius = 12 / 2 = 6 m

radius is 6 meters

Circumference = 2π×6

= 12π

= 37.7 meters

Hope this helps

Answer:

1 root

Step-by-step explanation:

A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)

Answer:

The answer is y=3/4+5 (C)

Step-by-step explanation:

You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.

The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.

From the given graph, the coordinate points are (4, 8) and (16, 17).

Here, slope (m) = (y₂-y₁)/(x₂-x₁)

= (17-8)/(16-4)

= 9/12

= 3/4

Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get

8=3/4 ×4+c

8=3+c

c=5

Substitute m=3/4 and c=5 in y=mx+c, we get

y=3/4 x+5

Therefore, the correct answer is option C.

To learn more about the line of fit visit:

https://brainly.com/question/14279419.

#SPJ4

Answer:

Hello There. The correct answer is 10^(-4)

Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)

ItsNobody~

Answer:

False.

Step-by-step explanation:

You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.

Answer:

X = 20

Step-by-step explanation:

To get the answer, we can set this up like a ratio.

First, we need to get the missing side of the small triangle. Using [tex]a^{2} +b^{2} = c^{2}[/tex] we get [tex]9^{2} +b^{2} =15^{2}[/tex]

[tex]9^{2} +b^{2} =15^{2}[/tex] square

[tex]81 +b^{2} = 225[/tex] subtract 81 from 225

[tex]b^{2} =144[/tex] square root

[tex]b=12[/tex]

Set up a ratio:

[tex]\frac{9}{15} = \frac{12}{x}[/tex]

[tex]\frac{3}{5} =\frac{12}{x}\\3x=60\\x=20[/tex]

Hey there!

To find the volume of any prism, you multiply the base by the height. However, we want to find the base here. So, we do it backwards and take the volume and divide it by the height, and this will give us our base!

50÷7.5=6 2/3

Therefore, the area of the base of a pentagonal prism with a volume of 50 cubic centimeters and a height of 7.5 centimeters is 6 2/3 square centimeters.

Have a wonderful day! :D

Answer:

5400

Step-by-step explanation:

5.4 × 10³

Move the decimal point 3 places to the right.

⇒ 5400

Answer:

0.3888 m or 38.88 cm

Step-by-step explanation:

I believe the question should be "how high will it rise from the third bounce?"

Initial height = 1.8m

If the ball only rises to 3/5 of the previous height after each bounce, the heights after the first three bounces are;

[tex]h_0=1.8m\\h_1=\frac{3}{5}*1.8=1.08\ m\\h_2=\frac{3}{5}*1.08=0.648\ m\\h_3=\frac{3}{5}*0.648=0.3888\ m[/tex]

The ball will rise 0.3888 m or 38.88 cm from the third bounce

Answer: 2.92h

Explanation:

Given:

the ball falls and rebounds to 3/5 of the height it is falling.

Height = 1.8m

to calculate the total distance traversed by the ball up to the third bounce

D = h(0) + (3/5) x h(0) + (3/4) h(0) + (3/4) x (3/4) h(0) + (3/5) x (3/5) h(0) the ball falls and rebounds to 3/4 of the height it is falling.

this distance = down + up +down +up +down only

otherwise it will do the after 3rd bounce travel.

D = h(0) { 1 + 2 x (3/5) + 2 x (9/25) }

= 2.92h(0)

Answer:

(5x−3)(x−4)

Step-by-step explanation:

5x2−23x+12

5x2−23x+12

=(5x−3)(x−4)

Answer:

It's 21.

Step-by-step explanation:

The factors of 9 are 3 and 3. (You need to multiply 3x3 to get 9.) The factors of 10 are 5 and 2. But, if you multiply 3 by 5, which gives you 15, and multiply the other 3 by 2, which gives you 6, and then add 6 to 15, you get 21.

Answer:

C

Step-by-step explanation:

If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.

Answer:

C.

Step-by-step explanation:

In triangles, the largest angle is always opposite from the longest side.

In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.

In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.

The correct answer is C.

Answer:

The measure of the third side is 9 centimeters.

Step-by-step explanation:

An isosceles triangle is a figure which two of its sides have the same length. The perimeter is the sum of all lengths from sides. Hence, the expression for perimeter of an isosceles triangle is given by the following expression:

[tex]p = l + 2\cdot w[/tex]

Where:

[tex]p[/tex] - Perimeter, measured in centimeters.

[tex]l[/tex] - Unequal side, measured in centimeters.

[tex]w[/tex] - Equal side, measured in centimeters.

The measure of the third side is calculated after clearing the equal side in the perimeter equation:

[tex]w = \frac{p-l}{2}[/tex]

Given that [tex]p = 25\,cm[/tex] and [tex]l = 7\,cm[/tex], the length of the third side is:

[tex]w = \frac{25\,cm-7\,cm}{2}[/tex]

[tex]w = 9\,cm[/tex]

The measure of the third side is 9 centimeters.

Answer:

c

[tex]7.6666666666[/tex]

bcz its

Step-by-step explanation:

[tex]6 = 54 - 8 \\ 6x = 46 \\ x = 46 \div 6 \\ x = 23 \div 3 \\ [/tex]

Answer: 3[tex]\sqrt{2}[/tex]

Answer: y = 2x + 6

Step-by-step explanation:

Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.

m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.

The line also goes through (-3, 0) using the slope.

Step-by-step explanation:

The Alps were born 770 million years ago.

Hope this helps..

Answer: About 65 million years ago.

Step-by-step explanation: The Alps emerged during the alpine orogeny, an event that began about 65 million years ago as the Mesozoic era was drawing to a close.

PLEASE MARK ME AS BRAINLIEST IF MY ANSWER IS RIGHT.

Answer:

x = 4   ±9i

Step-by-step explanation:

x^2 - 8x + 97 = 0

Complete the square by subtracting 97 from each side

x^2 - 8x =- 97

Take the coefficient of x

-8 and divide by 2

-8/2 = -4

Then square it

(-4)^2 = 16

Add it to each side

x^2 - 8x + 16 = -97+16

(x-4)^2 = -81

Take the square root of each side

x-4 = ±sqrt(-81)

x-4 = ±9i

Add 4 to each side

x = 4   ±9i

Answer:

C. x= 4 + 9i or x = 4 - 9i

Step-by-step explanation:

[tex]x^2 - 8x + 97 = 0[/tex]

Use the quadratic formula.

[tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute a = 1, b = -8, and c = 97.

[tex]\frac{-\left(-8\right)\pm\sqrt{\left(-8\right)^2-4\times 1\times 97}}{2\times 1}[/tex]

Evaluate.

[tex]\frac{8\pm\sqrt{324}i}{2\times 1}[/tex]

[tex]\frac{8\pm18i}{2}[/tex]

[tex]4\pm9i[/tex]

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

[tex]H(x)=-5x^2+10x+15[/tex]

At the time when the stone was thrown

x=0

Therefore:

[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]

The height of the stone at the time it is thrown is 15 units.

Answer:8 12 and 20

Step-by-step explanation:I googled it

Complete Question

90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.

• You are meeting a flight that departed on time. What is the probability that it will arrive on time?

• You have met a flight, and it arrived on time. What is the probability that it departed on time?

• Are the events, departing on time and arriving on time, independent?

Answer:

1st Question

       [tex]P(X_1) = 0.833[/tex]

2nd  Question

      [tex]P(X_2) = 0.938[/tex]

3rd Question

      The probabilities are not independent

Step-by-step explanation:

From the question we are told that

    The  probability of flight that depart on time is  P(DT) = 0.9

      The probability of flights that arrive  on time  is  [tex]P(AT) = 0.8[/tex]

     The  probability of flight that depart on time and arrive on time is  [tex]P(DT\ |\ AT) = 0.75[/tex]

    In the first question the flight is departed on time  so the probability that it will arrive on time is  

         [tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]

substituting values

         [tex]P(X_1) = \frac{0.75}{0.9}[/tex]

        [tex]P(X_1) = 0.833[/tex]

In the second question the flight arrived on time, so the probability that it departed on time is  mathematically evaluated as follows

           [tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]

substituting values

           [tex]P(X_2) = \frac{0.75}{0.8}[/tex]

           [tex]P(X_2) = 0.938[/tex]

Looking at the given and calculated values we see that the probability of  depart on time and arrive is not equal to the probability of  depart on time,

    i.e 0.75 =  0.8

the probability of  depart on time and arrive, and  the probability of depart on time are not independent

Answer:

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

Step-by-step explanation:

Answer:

It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.

Step-by-step explanation:

According to the situation the calculation is shown below:-

= [tex]\frac{4800}{20}[/tex]

= 240 sq ft each member of the team in 36 minutes

= [tex]\frac{240}{36}[/tex]

= 6.67 sq ft each member of the team within 1 minute

[tex]= 6.67\times 9[/tex]

= 60 sq ft for every 9 team members in one minute

= [tex]\frac{4200}{60}[/tex]

= 70 minutes (or 1 hour and 10 minutes)

Hence, the 70 minutes is taken for 9 team members