Write the following expression using a single exponent.
(8⁵)² × 8⁶

Answer:

Where is the fourth diagram?

Answer:

v = 130

w = 30

x = 100

y = 25

z = 30

Step-by-step explanation:

Answer:

an = 3n - 3

Step-by-step explanation:

The nth term of an arithmetic progression is expressed as;

an = a + (n-1)d

a is the first term

n is the number of terms

d is the common difference

a8 = a + (8-1)d

a8 = a + 7d = 21 ....1

a10 = a+9d = 27 ....2

Subtract 1 from 2

7d  - 9d = 21 - 27

-2d = -6

d = -6/-2

d = 3

Since a + 7d = 21

a + 7(3) = 31

a + 21 = 21

a = 21 - 21

a = 0

Get the nth term

Recall that an = a + (n-1)d

an = 0 + (n-1)*3

an = 3n - 3

Hence the nth term of the sequence is 3n - 3

Answer:

its 14

Step-by-step explanation:

50 didvdied by 20 is 18 so here u go

Answer:

3,409.6 steps

Step-by-step explanation:

Given parameters:

Duration of the walk  = 9.00am to 3.00pm

Number of steps walked  = 20458 steps

Unknown:

Number of steps per hour =?

To solve this;

            Number of steps per hour  = \(\frac{Number of steps}{Duration}\)

  Duration  = 9 am to 3pm  = 6hrs

  Now input the parameters:

         Number of steps per hour = \(\frac{20458}{6}\)   = 3,409.6 steps

Total number of steps per hour is 3,409.6 steps/hour.

The student earned a total of 6 points by correctly using definite integrals to find f(-2) and f(2), identifying the critical values and absolute minimum value of f(x) and finding f''(-5).

The student earned a total of 6 points in the problem. They earned 3 points in for using an appropriate definite integral to find f(-2), and another point for using a definite integral to find f(2). They did not earn any points.

In next part, they earned 2 points for identifying where f'(x) = 0, and identifying the absolute minimum value of f(x) at x=2. In part (d), they earned 1 point for finding f''(-5), but did not earn the second point due to a contradiction in their reasoning about the differentiability of f(x) at x=3.

To know more about absolute minimum value:

https://brainly.com/question/29449130

#SPJ4

Answer:

h(1 + n) = 2n - 2

Step-by-step explanation:

To find h(1 + n), substitute n = 1 + n into h(n) , that is

h(1 + n) = 2(1 + n) - 4 = 2 + 2n - 4 = 2n - 2

Answer:

x= -80/77

Step-by-step explanation:

-33x+x+8=-10x

-2.3x+8=-10x

-2.3x=-10-8

-2.3x+10x=-8

7.7x=-8

x=-80/77

Answer:

Circle A: 42π m

Circle B: 56 π m

Step-by-step explanation:

Base on the given:

Circle A has a radius of 21 meters.

Circle B has a radius of 28 meters.

To Find:

Find the circumference of each circle in terms of pi.

Note:

pi = 3.14 (About)

Formula:

C = 2πr

Solution:

Circle A:

2 × π  × 28

21 × 2 = 42

Circle B:

2 × π × 28

28 × 2 = 56

Thus,

Circle A : 42 π m

Circle B : 56 π m

Kavinsky

The value of x is 0.29 and value of y is 85.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

x = sin(sin⁻¹(0.29))

The sine and sin⁻¹x functions are inverse functions,

Therefore, sin(sin⁻¹(0.29)) simplifies to just 0.29. Thus,

x = 0.29

For y, we have:

y = cos⁻¹(cos(85))

The cosine and arccosine functions are also inverse functions, so they undo each other.

Therefore, cos⁻¹(cos(85)) simplifies to just 85.

y = 85

We notice that x is equal to the input value of the arcsine function, and y is equal to the input value of the cosine function.

In other words, x = sin(sin^-1(a)) = a and y = cos^-1(cos(b)) = b for any values of a and b.

This happens because the sine and cosine functions have a range of [-1, 1]

Since the input values in this case are already within these ranges, applying the inverse functions does not change them.

Therefore, we can expect this property to hold for any input values within the range of the inverse trigonometric functions.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer:

523.8 miles

Step-by-step explanation:

The drawing attached represents the question. We create a triangle with the distances from each pair of cities, and we call the distance from B to C by 'd'.

First, we need to find the angle BAC:

55° + BAC + 7° = 90°

BAC = 28°

Then, we can use the law of cosines to find the value of d:

d^2 = 470^2 + 890^2 - 2*470*890*cos(BAC)

d^2 = 470^2 + 890^2 - 2*470*890*0.8829

d^2 = 274365.86

d = 523.8 miles

Answer:

x=25

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of x. We know that  the Pythagorean Theorem says that a²+b²=c². We can substitute the values 20, 15, and x into the equation.

20²+15²=x²

Simplify.

400+225=x²

Add.

625=x²

Find the square root of both sides to solve the equation.

√625=√x²

25=x

Note:

To make the symbol ², hold the alt button on your keyboard and press 0178 ON THE NUMBERPAD (which should be to the right of the letters on your keyboard). It MUST be on the numberpad to work! To make the symbol √, hold the alt button on your keyboard and press 251 ON THE NUMBERPAD (which should be to the right of the letters on your keyboard). Again, it MUST be on the numberpad to work!

Another note:

Please like this if it was helpful! If you're a Connexus student, join my class using this link: https: // quizlet. com /join /6nmuZyd2M (take out all spaces)

Answer: Juan

Step-by-step explanation: Because if you divide 27 by 30 that makes 0.9 which if you multiply by a hundred you have 90 which means that Kim scored 80% and Juan scored 90%.

The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)

After using the properties of integer exponent:

\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)

\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ1

Answer:

y=5x+2

Step-by-step explanation:

so you use the equation y-y/x-x to find your slope then plug that into the format of y=mx+b then the b is the y intercept so it would turn out to b =5x=2

Answer:

y=5x+2

Step-by-step explanation:

a. The z-score for a blood pressure reading of 140 is 1.22.

b. The proportion of the population suffering from high blood pressure (reading above 140) is 0.1112.

c. The proportion of the population with systolic blood pressure in the range from 104 to 140 is 0.7185.

To solve the problem, we need to use the standard normal distribution since we know the mean and standard deviation of the population.

a. The z-score for a blood pressure reading of 140 is calculated as:

z = (140 - 118) / 18 = 1.22

Therefore, the z-score for a blood pressure reading of 140 is 1.22 (rounded to two decimal places).

b. To find the proportion of the population suffering from high blood pressure, we need to calculate the area under the standard normal distribution curve to the right of z = 1.22 (since we are interested in readings above 140). Using a standard normal distribution table or calculator, we find that the area to the right of 1.22 is 0.1112.

Therefore, the proportion of the population suffering from high blood pressure (reading above 140) is 0.1112.

c. To find the proportion of the population with systolic blood pressure in the range from 104 to 140, we need to calculate the area under the standard normal distribution curve between z = (104 - 118) / 18 = -0.78 and z = (140 - 118) / 18 = 1.22. Using a standard normal distribution table or calculator, we find that the area between -0.78 and 1.22 is 0.7185.

Learn more about z-score here

brainly.com/question/14989264

#SPJ4

Answer:

i think its A or C

Step-by-step explanation:

but A may be the right one

Answer: f(x)=4

f(x)=√3x−4

f(x)=4x−5

Step-by-step explanation:

-6.48 > -6.5

5.983 < 5.99

3.09 > 3.01

Hope it helps

Answer:

8 Nickels

Step-by-step explanation:

Since a Nickel is worth 5 cents ($0.05)

And a Quarter is worth 25 ($0.25)

and theres 22 coins

8 of those coins would be nickels which would mean we add 8 nickels up

8 x 0.05 = 0.4

then we add the quarters up

14 x 0.25 = 3.5

3.5 + 0.4 = $3.90

Laurel can choose from 320 different combinations of flower type, vase, and ribbon color to create her bouquet.

To calculate the possible combinations of flower type, vase, and color that Laurel can choose from, we need to use the multiplication principle of counting. This principle states that the total number of possible outcomes is equal to the product of the number of choices for each category.
So, for the flowers, there are eight different types to choose from. For the vases, there are four different options. And for the ribbon, there are 10 different colors to choose from.
Therefore, the total number of possible combinations is:
8 x 4 x 10 = 320

learn more about multiplication principle here:

https://brainly.com/question/29117304

#SPJ11

Answer:

I think It is C if Not pick A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

17-5 and the 5/6 -1/2

Answer: to scale the base units so that they can represent anything from a very large numeric value

Step-by-step explanation:

to scale the base units so that they can represent anything from a very large numeric value

Answer: it becomes a positive

Step-by-step explanation:

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

Answer:

i dont know

Step-by-step explanation: