Determine the value of the variables a, b, and c when simplifying and evaluating the expression. 3^8/3^4 = a^b = c

Answer:

m(A) = 23°

m(B) = 109°

m(C) = 48°

Step-by-step explanation:

Answer:

fish

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

\( - 8 {x}^{2} - x - 4\)

Step-by-step explanation:

Let's subtract:

\(( - 8 {x}^{2} - 8) - (x - 4)\)

\( - 8 {x}^{2} - 8 - x + 4\)

\( - 8 {x}^{2} - x - 4\)

Nataly saved s/64.

The original prices for the items are:

Skirt: s/78

Blouse: s/65

Jacket: s/240

The discounted prices Nataly paid are:

Skirt: s/69

Blouse: s/52

Jacket: s/198

To find out how much Nataly saved, we need to calculate the difference between the original prices and the discounted prices, and then add them up:

savings = (78 - 69) + (65 - 52) + (240 - 198)

savings = 9 + 13 + 42

savings = s/64

Learn more about Nataly

brainly.com/question/4380203

#SPJ11

Answer:

263 ft

Step-by-step explanation

Answer:

F is greater than 25

F is positive

Step-by-step explanation:

You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.

You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.

Hope this helps!

I tried 14,29

Step-by-step explanat IDK

c. incremental model Agile methods are iterative and incremental approaches to software development that prioritize customer satisfaction through the early and continuous delivery of working software.

The incremental model is a key aspect of agile methods, where the software is developed incrementally through a series of iterations or sprints. At the end of each iteration, user feedback is collected and incorporated into the next iteration, allowing the software to evolve and adapt to changing requirements. This approach allows for greater flexibility and responsiveness to user needs and helps ensure that the final product meets customer expectations.

Learn more about incremental model here:

https://brainly.com/question/31932487

#SPJ11

Answer:

1st blank : 1

2nd : 3

3rd : 5

4th: 7

Step-by-step explanation:

you have to replace x in the equatoin by the numbers you have in the first line.

For example : y= 2x+5

y= 2(-2) + 5

y= -4+5

y= 1

The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

Learn more about Inequalities on:

https://brainly.com/question/24372553

#SPJ1

The work done in compressing the spring from a length of 16 inches to a length of 14 inches is 0.286 in-lb (rounded to three decimal places).The correct option is 0.286 in-lb.

Given that,A force of 10 pounds compresses a 23-inch spring 7 inches.The formula to calculate the work done is given by W

= (1/2)k(x^2 - y^2)where k is the spring constant, x and y are the initial and final positions of the spring respectively.To find the work done, first we need to calculate the spring constant 'k'. The spring constant 'k' is defined as the force required to stretch or compress the spring by a unit length. Hence, the spring constant k can be calculated as below;k

= F / x

= 10 lb / 7 in

= 10 / 7 lb/in The work done is given by W

= (1/2)k(x^2 - y^2)Here, x

= 16 in and y

= 14 inW

= (1/2) * (10 / 7) * ((16)^2 - (14)^2)W

= (1/2) * (10 / 7) * (256 - 196)W

= 0.286 in-lb.The work done in compressing the spring from a length of 16 inches to a length of 14 inches is 0.286 in-lb (rounded to three decimal places).The correct option is 0.286 in-lb.

To know more about compressing visit:

https://brainly.com/question/32332232

#SPJ11

It is correct to state that the Absolute Values of the above numbers will be:

5,4,3,2,1,0,1,2,3,4,5. Because positive values cannot be represented on the Negative spectrum of the Coordinate system, we are left with 0,1,2,3,4,5 which means is represented by 0 ≤ x ≤ 5. See the attached real number line attached.

A number line is a graphical depiction of numbers on a straight line, with each point representing a distinct actual number. It is essential for visualizing numerical concepts and procedures.

The absolute value of a number, independent of its sign, is the number's distance from zero. It is expressed as a positive number and is useful for determining the size of a quantity or the distance between two points on a number line.

Learn more about Number Lines:

brainly.com/question/16191404

#SPJ1

Answer:

9 terms

Step-by-step explanation:

Given:  

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

\(\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}\)

Where n = 8 and r = 0,1....8

When r = 0

\(\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1\)

When r = 1

\(\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8\)

When r = 2

\(\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8\)

When r = 3

\(\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56\)

When r = 4

\(\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70\)

When r = 5

\(\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56\)

When r = 6

\(\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28\)

When r = 7

\(\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8\)

When r = 8

\(\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1\)

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

Answer:

Step-by-step explanation:

let's rearrange the equation 3 x − 2 y = 2  a bit. (isolate y)

3x - 2 /2 = 2y /2

(3x-2)/2 = y

\(\frac{3}{2} x\) - 1 = y

The slope for the equation is 3/2.

Rule: Parallel lines have the same slope

So we know that the slope of the line we need to find is 3/2.

y = mx +b

y = (3/2)(x) + b

Now plug in the point (-6,-2) to find b

-2 = (3/2)(-6) + b

-2 = -9 + b

-2 + 9 = -9 + b + 9

7 = b

b = 7

Therefore the equation of the line we need to find: y = \(\frac{3}{2}x + 7\)

The value of 3x + 4y² when x = 5 and y = 3 is 51.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

Learn more about Expressions here :

https://brainly.com/question/455361

#SPJ3

Answer:

51

Step-by-step explanation:

Answer:

  28

Step-by-step explanation:

Before she bought 9, she had 14. That was equal to the number sold, so she started with 14+14 = 28 comic books.

Step-by-step explanation:

I think...

18×9=9×18

hope it helps

Answer:

y = 0

z = 5

Step-by-step explanation:

Since you cannot have a zero in the denominator (divide by 0 or undefined error), you have to exclude values that can turn the bottom into a zero. If you plug in 0 for y, you would get an error, and if you plugged in z for 5, you would get another error because you would be multiplying 0 in the denominator, so those 2 values must be excluded.

Using the binomial probability distribution, the probability of none of the 14 customers ordering a non-alcoholic beverage is approximately 0.000416 or 0.0416%.

We can solve this problem using the binomial probability distribution since we are interested in finding the probability of a specific number of successes (i.e., zero) in a fixed number of independent trials (i.e., 14 customers), where the probability of success (i.e., ordering a non-alcoholic beverage) is known and constant for each trial (i.e., 0.55).

The formula for the binomial probability distribution is:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting k successes in n trials

(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items, and is calculated as n! / (k! * (n - k)!)

p is the probability of success in each trial

(1 - p) is the probability of failure in each trial

Using this formula, we can calculate the probability of none of the 14 customers ordering a non-alcoholic beverage as follows:

P(X = 0) = (14 choose 0) * 0.55^0 * (1 - 0.55)^(14 - 0)

= 1 * 1 * 0.45^14

≈ 0.000416

Therefore, the probability that none of the 14 customers will order a non-alcoholic beverage is approximately 0.000416, or 0.0416% (rounded to four decimal places).

Learn more about binomial probability distribution:

https://brainly.com/question/31197941

#SPJ4

Step-by-step explanation:

distance = rate  X  time

    d         = 55 m/hr * 4 hr

     d = 220 miles

distance / time = rate

  220 miles / (3  2/3 hr ) =   60 m/hr

A prism has two congruent bases and rectangular lateral faces. The lateral area of a prism is the sum of the areas of all its lateral faces.

Let L be the length of the rectangular lateral faces, W be the width of the rectangular lateral faces, and H be the height of the prism.

We know that the lateral area of the prism is 240 square inches. This means that:

L x H + W x H + L x H + W x H = 240

Simplifying this equation, we get:

2LH + 2WH = 240

Dividing both sides by 2, we get:

LH + WH = 120

Since the prism has two congruent bases, the total surface area of the prism is the sum of the lateral area and the area of both bases. The area of each base is just the length times the width, or LW. Therefore, the total surface area is:

2(LW) + LH + WH

Substituting LH + WH = 120, we get:

2(LW) + 120

Simplifying further, we get:

2LW + 120

We do not have enough information to determine the length or width of the rectangular bases, so we cannot determine the value of 2LW. Therefore, the final answer is:

Total surface area = 2LW + 120

To learn more about the prism;

https://brainly.com/question/12649592

#SPJ4

Answer:

C

Step-by-step explanation:

1:plus 4 2: times 2 3:minus 10

Answer:

6^540

Step-by-step explanation:

From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

To know more about slope

https://brainly.com/question/19131126

#SPJ4

To find the point Q such that R is the midpoint of PQ, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint M between two points A(x₁, y₁, z₁) and B(x₂, y₂, z₂) can be calculated as follows:

M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2, (z₁ + z₂) / 2).

In this case, we have the point P(9, 7, 10) and the midpoint R(10, 2, 1). We want to find the coordinates of point Q, where R is the midpoint of PQ. Let's denote the coordinates of point Q as (x, y, z).

Using the midpoint formula, we can set up the following equations:

(x + 9) / 2 = 10,  

(y + 7) / 2 = 2,  

(z + 10) / 2 = 1.

Simplifying these equations, we get:

x + 9 = 20,  

y + 7 = 4,  

z + 10 = 2.

Solving for x, y, and z, we find:

x = 20 - 9 = 11,  

y = 4 - 7 = -3,  

z = 2 - 10 = -8.

Therefore, the point Q is Q(11, -3, -8).

Learn more about Midpoint Formula :

https://brainly.com/question/28367319

#SPJ11

Answer:

Scroll Down Below...

Step-by-step explanation:

To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.

The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

To learn more about : radius

https://brainly.com/question/24375372

#SPJ11

Answer:

Angle BDC

Step-by-step explanation:

Complementary is angles that add up to 90 degrees

Using sampling concepts, the population being studied is all visitors that are flying to the state of Hawaii.

The problem is incomplete, but researching it on a search engine, it asks for us to identify who is the population of this study.

In this problem, a set of visitors traveling to Hawaii were sampled, hence the population being studied is all visitors that are flying to the state of Hawaii.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1