With the information given, find the lenght of the prism

ANSWER:

AC = 3√ 17

α = 75.96°

Θ = 14.04°

STEP-BY-STEP EXPLANATION:

We can calculate the length of side AC by means of the Pythagorean theorem, just like this:

We can calculate the angles by applying the following trigonometric ratios:

The equation can be represented by

y= 25 - 2.5x

by comaprison with y = mx + c

c = 25 ( note tha c means y-intercept)

This 25 represents the initial value of the gift card

The correct answer is option d

We need to solve the following inequality:

We need to isolate the "x" variable, when we do that the number that is multiplying it should go to the other side with its inverse operation, which is division.

Now we need to flip the expression, so the variable is isolated on the left side. Since this is an inequality we also need to flip the inequality signal. This is done below.

For the expression to be true x must be less or equal to -5.

The probability that the first spin lands on blue and the second spin lands on gray is 15 / 56.

Probability is the likelihood that an event will happen or take place.

The spinner has eight = sections, five of which are gray and red with your blue.

Probability that the first spin lands on blue = 8

(8 - 5)/8 = 3/8

The probability of landing of gray is 5/7 for the second time.

Therefore, the probability will be:

= 3/8 × 5/7

= 15 / 56

This illustrates the concept of probability.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

The times longer would it be on Phobos than on Earth for the jumper to return to the ground is 16 times.

From the information, it was given that the person who jumps on Earth returns to the ground in 0.4 second and that on Phobos, the same jumper will take 6.4 minutes to return to the ground.

The number of times longer will be calculated by dividing the values that are given. This will be:.= Time on Phobos / Time on Earth

= 6.4 minutes / 0.4 minutes

= 16

This shows the concept of division of numbers.

Learn more about numbers on:

brainly.com/question/25710806

#SPJ1

Answer

Coyote's speed = 19 m/s

Jack Rabbit's speed = 16 m/s

The Coyote is faster since 19 > 16.

Explanation

To answer this, we need to note that the relationship between speed, distance and time is given as

Speed = (Distance/Time)

For the Coyote,

Distance = 101 m

Time = 5.3 seconds

Speed = (Distance/Time)

Coyote's speed = (101/5.3) = 19 m/s

For the Jack Rabbit,

Distance = 75 m

Time = 4.7 seconds

Speed = (Distance/Time)

Jack Rabbit's speed = (75/4.7) = 16 m/s

Since 19 m/s is evidently greater than 16 m/s, we can conclude that the Coyote is faster than the Jack Rabbit.

Hope this Helps!!!

Answer:

Step by step explanation:

P = $1000

r = 4% = 4/100 = 0.04

t = 6 years

Therefore,

Answer:

M (-7/2, -7)

Explanation:

Given the coordinates as I(3, - 9) and J(-10, -5), we can go ahead and determine the midpoint of the line segment IJ using the midpoint formula stated below;

So we have that x1 = 3, x2 = -10, y1 = -9, and y2 = -5.

Let's go ahead and substitute the above values into our formula and simplify;

To answer this question, first we need to understand the definition of a median of a triangle.

A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.

AB is a segment drawn from the vertex A, to the point B, but B is not the midpoint of the base of this triangle(the midpoint divides the segment into two equal parts, and since one part is 7 and the other is 8, B is not the midpoint

Using the property vertically opposite angles and the corresponding angles, the value of x can be determine as,

Thus, the required value of x is 6.

Answer:

Table A represents a function

Step-by-step explanation:

Table A represents function because it is the only table that doesn't repeat an output or input number.

If the function be [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex] then the domain of the function exists

[tex]$\left[\begin{array}{ccc}\text { Solution: } & x < \frac{5}{8} & \text { or } \quad x > \frac{5}{8} \\ \text { Interval Notation: } & \left(-\infty, \frac{5}{8}\right) \cup\left(\frac{5}{8}, \infty\right)\end{array}\right]$[/tex]

The collection of all potential inputs for a function is its domain.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

Let the function be [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex]

Domain of [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex] :

[tex]$\left[\begin{array}{ccc}\text { Solution: } & x < \frac{5}{8} & \text { or } \quad x > \frac{5}{8} \\ \text { Interval Notation: } & \left(-\infty, \frac{5}{8}\right) \cup\left(\frac{5}{8}, \infty\right)\end{array}\right]$[/tex]

Range of [tex]$\frac{x^3-3 x+1}{8 x-5}:\left[\begin{array}{cc}\text { Solution: } & -\infty < f(x) < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$[/tex]

Axis interception points of [tex]$\frac{x^3-3 x+1}{8 x-5}[/tex]

X Intercepts: [tex]$(0.34729 \ldots, 0),(1.53208 \ldots, 0)$[/tex], [tex]$(-1.87938 \ldots, 0)$[/tex],

Y Intercepts: [tex]$\left(0,-\frac{1}{5}\right)$[/tex]

Asymptotes of [tex]$\frac{x^3-3 x+1}{8 x-5}: \quad$[/tex]

Vertical: [tex]$x=\frac{5}{8}$[/tex]

Extreme Points of [tex]$\frac{x^3-3 x+1}{8 x-5}$[/tex]

Minimum [tex]$(-0.54351 \ldots,-0.26422 \ldots)$[/tex]

To learn more about domain of function refer to:

https://brainly.com/question/2074347

#SPJ13

Answer:

[tex]x=3160.778016...[/tex]

Step-by-step explanation:

Given logarithmic equation:

[tex]\log(x)+\log(x+3)=7[/tex]

[tex]\textsf{Apply the product log law}: \quad \log_axy=\log_ax + \log_ay[/tex]

[tex]\implies \log(x(x+3))=7[/tex]

[tex]\implies \log(x^2+3x)=7[/tex]

[tex]\textsf{Apply the log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies x^2+3x=10^7[/tex]

[tex]\implies x^2+3x-10000000=0[/tex]

Solve the quadratic equation by using the quadratic formula.

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

Therefore:

[tex]a=1, \quad b=3,\quad c=-10000000[/tex]

Substitute the values of a, b and c into the quadratic formula:

[tex]\implies x=\dfrac{-3 \pm \sqrt{3^2-4(1)(-10000000)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{9+40000000}}{2}[/tex]

[tex]\implies x=\dfrac{-3 \pm \sqrt{40000009}}{2}[/tex]

[tex]\implies x=3160.778016..., \quad x=-3163.778016...[/tex]

As logs of negative numbers cannot be taken, the only valid solution is:

[tex]\boxed{x=3160.778016...}[/tex]

Explanation

in the column we have

-have cell phones

-do not have cell phones

-total

and

in the other side.

-have a part time job

-do not have part time job,

so to know the number of students whoh fit both conditions ( have a cell phone and have a part time job) we need to find the cell where both intersect each other

hence, the answer is

I hope this helps you

Let x represent the number of visits it will take for the cost of the two gyms to be the same.

Gym A has a $56 joining fee with $3 per visit. This means that the cost of x visits of gym A would be

3 * x + 56

= 3x + 56

Gym B has a $30 joining fee with a $5 per visit. This means that the cost of x visits of gym B would be

5 * x + 30

= 5x + 30

For both costs to be the same, it means that

3x + 56 = 5x + 30

5x - 3x = 56 - 30

2x = 26

x = 26/2

x = 13

After 13 visits, the cost of the two gyms would be the same

Given:

Function A:

Function- B

Function C

Find-:

The function has the greatest initial value

The function has the greatest rate of change

Explanation-:

(A)

The function has the greatest initial value

Check the value at x=0

Value of y is:

For functi

y = 0.34x - 0.9 (Option A)

We are given the data and we want to find the line of best fit.

The line of best fit is a line that goes through the data points and it gives the best representation of the spread of the data.

The equation of a line is given as:

y = mx + c

y represents y-values

x represents x-values

m is the slope of the line

c is the y-intercept of the line or where the line crosses the y-axis.

To get this equation for this question, we need to find both m and c.

In order to do this, the formulas are given below:

While for c or the y-intercept, we have:

Before we can calculate m and c, we need to calculate the means of both x and y values give to us.

This is done below:

Now we can proceed to get the slope m of our line.

In order to be tidy, we shall use a table to solve. This table is shown in the image below:

Thus, we can now calculate our slope m:

Therefore the slope (m) = 0.34

Now to calculate intercept (c)

Therefore, the intercept (c) = - 0.9

Bringing it all together, we can write the equation of the line as:

y = 0.34x - 0.9

Therefore the answer is: y = 0.34x - 0.9 (Option A)

Since Christi earns $21 per hour, to find how much she earns by working 19 hours per week we need to multiply the hourly wage by the number of hours she works in a week:

Her weekly wage is $399

Answer: D) $399

It's important to know that synthetic division gives a polynomial as a result.

Michael obtained 7 0 24 0 0. We just need to add variables to it. As you can observe, there are 5 terms, that means the polynomial is grade 4.

Therefore, the resulting polynomial is

Answer: C. The statement is true because f'(a) gives the instantaneous rate of change of fat x = a.

The answer for 6 is C. 142°

Explanation

∠AEB = 180 - ∠AEF (Sum of angle on a straight line)

∠AEB = 180 - 38 = 142°

Answer:

What transaction occurs when an investor decides to liquidate assets?

A. buy

B. hold

(C. sell)

D. speculate

Step-by-step explanation:

I got a 5/5 on the test and i got the answer from a quizlet (:

Sell is the answer

The correct option is (C).

Given,

In the question:

What transaction occurs when an investor decides to liquidate assets?

Now, According to the question:

when an investor decides to liquidate assets.

when an investor decides to liquidate assets means he or she want to sell the property in the open market, in other words liquidate assets means

converting non- liquid assets into liquid assets.

In investing, liquidation occurs when an investor closes their position in an asset. Liquidating an asset is usually carried out when an investor or portfolio manager needs cash to re-allocate funds or rebalance a portfolio. An asset that is not performing well may also be partially or fully liquidated.

According to the statement

Therefore, Sell is the answer

The correct option is (C).

Learn more about Investor at:

https://brainly.com/question/14283683

#SPJ1

Given:

141.2 - 79.83

Here, we are to subtract 79.83 from 141.2

Let's evaluate the given expression.

We have:

ANSWER:

61.37

Step 1

write out the function

Step 2

for every input, an input produce unique output

t = 10days is the input

Step 3

substitute t = 10 in the function

Let's determine the values of f(-4) and g(6).

For f(-4),

Therefore, f(-4) = 123

For g(6),

Therefore, g(6) = -21

8% of 4000 express as;

Thus, 8% of 4000 is 320

Answer : 320

...

Assuming any quadrilateral:

A(-2, -1)

B(-1, -4)

C(-4, -6)

D(-5, -3)

we have

y=x^2-9x+18 -----> equation A

y=x-3 ------> equation B

Solve the system of equations

substitute equation B in equation A

x^2-9x+18=x-3

x^2-9x+18-x+3=0

x^2-10x+21=0

Solve the quadratic equation using the formula

we have

a=1

b=-10

c=21

substitute the given values

Find the value of y for x=7

y=x-3

y=7-3=4

the first solution is (7,4)

Find the value of y for x=3

y=3-3=0

the second solution is (3,0)

therefore

8.41 > 8.051

the digit after the decimal point is greater on 8.41 (4) than on 8.051 (0)