5.
(Time limit)

Tell me the domain
Tell me the range
Tell me whether the graph is a function or not.
The answer choices are below

The option or function that is NOT an exponential function is (4/7)ˣ.

The function (4/7)ˣ is no exponential because the base (4/7) is smaller or lesser than 1. All exponential functions must have a base that is less than -1 or greater than 1.

The other functions

1) (3/5)ˣ

2) 4ˣ

are both exponential function.

3/5ˣ is a decay function and it's base is less than 1. 4ˣ on the other hand is a growth function. Of course, it's base is greater than 1.

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Answer:3

Step-by-step explanation: Initial value = y-intercept

Answer: See attached.

Step-by-step explanation:

     First, we will create an equation with the slope given.

y = [tex]\frac{3}{4}[/tex]x + b

     Then, we will substitute this value in and solve for b (our y-intercept). Then we will graph the equation.

y = [tex]\frac{3}{4}[/tex]x + b

(-1) = [tex]\frac{3}{4}[/tex](-4) + b

-1 = -3 + b

b = 2

     Our final equation:

           y = [tex]\frac{3}{4}[/tex]x  + 2

     See attached for the graph. We will plot the point (0, 2) for our y-intercept and then move 3 units up for every four units right, according to the slope.

To Graph the equation using the slope and the​ y-intercept is discussed below.

let us consider a equation of line slope intercept form is y= -1/2x - 1.

As, the general form of equation is

y= mx+ b

where m is the slope and b is y intercept

Here in the equation slope= -1/2 and intercept is -1.

To y intercept is value of y when x= 0 then the coordinate in the graph should be (0, -1).

Now, the slope show the change in y wrt to x here if 2 unit in x then 1 unit.

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Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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The value of the measure of each side indicated are,

⇒ x = 12.48

⇒ BC = 16

We have to given that;

In triangle ABC;

AC = x

AB = 10

Hence, We can formulate;

⇒ tan 58° = BC / AB

⇒ 1.60 = BC / 10

⇒ BC = 16

By using Pythagoras theorem;

⇒ x² + 10² = 16²

⇒ x² = 256 - 100

⇒ x² = 156

⇒ x = 12.48

Thus, The value of the measure of each side indicated are,

⇒ x = 12.48

⇒ BC = 16

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The half-life of this radioactive element is approximately 2 years.

We have,

The decay of a radioactive element follows an exponential decay model of the form:

[tex]N = N_0 e^{-kt}[/tex]

where:

N0 is the initial concentration of the radioactive element

N is the concentration after time t

k is the decay constant

We are given that the element has decayed to 1/32 of its original concentration, which means that its current concentration is 1/32 times its initial concentration:

N/N0 = 1/32

Taking the natural logarithm of both sides and rearranging, we get:

ln(N/N0) = ln(1/32) = -3.465

Now we can use the formula for half-life, which relates the decay constant to the half-life t1/2:

t1/2 = ln(2) / k

We can solve for the decay constant k by using the information that the element has decayed to 1/32 of its original concentration in 10 years:

ln(N/N0) = -kt

-3.465 = -k x 10

k = 0.3465

Substituting this value of k into the formula for half-life, we get:

t1/2 = ln(2) / k = ln(2) / 0.3465 = 2.0 x 10^0 years = 2 years.

Therefore,

The half-life of this radioactive element is approximately 2 years.

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The correct statement regarding the relations in this problem is given as follows:

Only relation A could represent a linear relationship.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

From the first bullet point, we have that what classifies a linear relation is a constant rate of change.

For relation K, we have that it is not linear, as:

For relation R, we have that it is linear, as it has a constant rate of change.

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Answer:

The amount of Uranium-233 produced after 20 days will be approximately 65.1 pounds.

Step-by-step explanation:

The simple interest after 4 years with the given principal and rate is $120.

Given that, principal =$600, rate=5% and time=4 years.

We know that, simple interest=(Principal×Rate×Time)/100.

Simple interest = (600×5×4)/100

= $120

Therefore, the simple interest after 4 years with the given principal and rate is $120.

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Answer:

415.67 = (1/3)(13.4)(11.7)h

415.67 = 52.26h

h = about 7.95 feet

Answer: 70 pages

Step-by-step explanation: If she read 1/7 pages on monday and the book is 490 pages, divide. 490 ÷ 1/7 = 70. 70 × 7 is 490. So use these operations in future problems. Just make sure to read carefully!

The horizontal distance more that Jake was able to cover, given the incline, would be A.4.1 ft.

We can find the horizontal distance that both Jake and Raphael covered .

Jake's distance was:

cos ( 7.9 ° ) = adjacent / 100

adjacent = 100 x 0.989

adjacent = 98.9 ft

Rafael's distance was :

cos ( 18. 3° ) = adjacent / 100

adjacent = 100 x 0.951

adjacent = 95.1 ft

The difference and the distance covered in addition by Jake would be:

= 98. 9 - 95. 1

= 3. 8 ft

The closest option is 4. 1 ft.

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The explicit rule for the sequence -4/3, 1, -4/5, -2/3, -4/7 is -4(2 + n)

From the question, we have the following parameters that can be used in our computation:

-4/3, 1, -4/5, -2/3, -4/7

In the above sequence, we can see that 1 is added to the denomiator of the previous term to get the new term

Take for instance

2nd = -4/(3 + 1) = -1

3rd = -4/(3 + 2) = -4/5

4th = -4/(3 + 3) = -4/6 = -2/3

4th = -4/(3 + 7) = -4/7

Hence, the explicit rule is -4(2 + n)

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Answer:

been wondering that my self

Step-by-step explanation:

that's why they asked

Answer:

5cm

Step-by-step explanation:

To find the radius of the base of the cone, we need to use the formula for the volume of a cone, which is V=31​πr2h

, where V is the volume, r is the radius, and h is the height1

We are given the volume and the height, so we can plug them into the formula and solve for r:

200π=31​πr2(24)

Simplify and isolate r:

r2=8π200π​

r2=25

r=25​

r=5

Therefore, the radius of the base of the cone is 5 cm.

The measure of  each interior angle of a regular 16-sided polygon is 157.5 degrees

To determine the value of the interior angle, we need to note that;

The formula for calculating the sum of the interior angles of a polygon is expressed with the expression;

(n -2)180

Such that the variable n in the expression represents the number of sides of the polygon

From the information given, we have that;

(16- 2)180

expand the bracket

14(180)

multiply the values

2520 degrees

Then, we have;

16x = 2520

Make 'x' the subject

x= 157. 5 degrees

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The cost of leasing the car is $28,780 and the cost of buying the car is $42,380.

Buying the car is more expensive than leasing by $13,600 over the 5-year period.

We have,

To calculate the cost of leasing the car, we first need to determine the total amount paid over the lease term:

= (Monthly payment x Number of months) + Down payment

= ($473 x 60) + $2,420

= $28,780

To determine the cost of buying the car, we first need to calculate the total loan amount:

= Cost of car - Down payment + Residual value

= $34,000 - $5,000 + $16,400

= $45,400

Now,

Total loan cost = (Monthly payment x Number of months) + Down payment

Total loan cost = ($623 x 60) + $5,000

Total loan cost = $42,380

So,

The cost of leasing the car is $28,780 and the cost of buying the car is $42,380.

To determine which option is less expensive, we can subtract the cost of leasing from the cost of buying:

Cost of buying - Cost of leasing = $42,380 - $28,780

Cost of buying - Cost of leasing = $13,600

So,

Buying the car is more expensive than leasing by $13,600 over the 5-year period.

Thus,

The cost of leasing the car is $28,780 and the cost of buying the car is $42,380.

Buying the car is more expensive than leasing by $13,600 over the 5-year period.

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Answer:

The length of the second train is 416.67 meters.

Step-by-step explanation:

mark brainliest

Answer:

Please help me by marking me the brainliest.

The area of the triangle is 9 units^2

Step-by-step explanation:

Area of triangle = 1/2(6*3)

                          =1/2(18)

                          =9

The solution of the expression -8+27÷(-3)-(-2)​ is determined by applying the rule of BODMAS as -35.

The solution of the expression is calculated by applying the following formula as shown below;

BODMAS;

Based on the rule of BODMAS, we solve the bracket first, then division, before addition and subtraction.

-8+27÷(-3)-(-2)​ = -8+27÷ -1

-8+27÷ -1 = -8 - 27

-8 - 27 = - 35

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Answer:

Step-by-step explanation:

I agree it's convenience and biased.

It's the easiest way to convey a survey so it is convenient.  

it is biased because not everyone has accessible to modern technology, or that particular social media app.  Not all park users use social media.  It is biased because it is targeting a younger demographic, but excludes the youngest demographic as well, that are not allowed ot have social media.

Answer:

I agree it's convenience and biased.

It's the easiest way to convey a survey so it is convenient.  

it is biased because not everyone has accessible to modern technology, or that particular social media app.  Not all park users use social media.  It is biased because it is targeting a younger demographic, but excludes the youngest demographic as well, that are not allowed ot have social media.

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer:

It seems like the chat transitioned to a different topic. However, based on the search results, it appears that the query was related to solving distance problems using linear equations. One common application of linear equations is in distance problems, where you can create and solve linear equations to find the distance between two points or the rate of travel. Here's an example problem:

Joe drove from city A to city B, which are 120 miles apart. He drove part of the distance at 60 miles per hour (mph) and the rest at 40 mph. If the entire trip took three hours, how many miles did he drive at each speed?

To solve this problem, you can use a system of two linear equations. Let x be the number of miles driven at 60 mph, and y be the number of miles driven at 40 mph. Then you have:

x + y = 120 (total distance is 120 miles) x/60 + y/40 = 3 (total time is 3 hours)

To solve for x and y, you can multiply the second equation by 120 to eliminate fractions and then use the first equation to solve for one of the variables. For example:

x/60 + 3y/120 = 3 x/60 + y/40 = 3 2x/120 + 3y/120 = 3 x/60 + y/40 = 3 x/60 = 3 - y/40 x = 180 - 3y/2 (from the first equation)

Substitute the expression for x into the second equation and solve for y:

x/60 + y/40 = 3 (180 - 3y/2)/60 + y/40 = 3 3 - 3y/160 + y/40 = 3 3 - 3y/160 = 2.75 -3y/160 = -0.25 y = 20

Substitute y = 20 into the expression for x to get:

x = 180 - 3y/2 x = 120

Therefore, Joe drove 120 - 20 = 100 miles at 60 mph and 20 miles at 40 mph.

Step-by-step explanation:

Answer:

A: 6 as a fraction of 30 = 6/30 = 1/5

B: 30 centimetres as a fraction of 2 metres = 30/200 = 3/20

C: 16 pence as a fraction of £1 = 16/100 = 4/25

To compare these fractions, we need to express them with a common denominator. The smallest common multiple of 5, 20, and 25 is 100. So we can convert each fraction to have a denominator of 100:

A: 1/5 = 20/100

B: 3/20 = 15/100

C: 4/25 = 16/100

Now we can see that the largest fraction is C: 16 pence as a fraction of £1, which is 16/100 or 16%.

Step-by-step explanation:

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The probability of yellow or has an odd number is 8/9

From the question, we have the following parameters that can be used in our computation:

Green = 1 to 3

Yellow = 1 to 6

This means that

Odd = 2 + 3

Odd = 5

So, we have

P(Yellow) = 6/9

P(Odd) = 5/9

P(Yellow and Odd) = 3/9

The probability of yellow or has an odd number is

P = 6/9 + 5/9 - 3/9

Evaluate

P = 8/9

Hence, the probability is 8/9

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Volume of the prism given is 51 [tex]\frac{17}{40}[/tex].

The volume of the prism is given by the formula,

Volume of the prism = Base area × height

Base area = 2 3/4 × 5 1/2

                 = 11/4 × 11/2

                 = 121 / 8

Volume of the prism = 121 / 8 × 3 2/5

                                  = 121/8 × 17/5

                                  = 2057/40

                                  = 51 17/40

Hence the volume of the prism is 51 [tex]\frac{17}{40}[/tex].

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The coordinates of the focus of the parabola y = -(1/8)x² - 2x - 4 is (-8, 2).

y = -(1/8)x² - 2x - 4

Given by the equation y = -(1/8)x² - 2x - 4,

To find the focus of the parabola we first need to put the equation in standard form:

y = a(x - h)² + k

Where (h, k) is the vertex of the parabola, and a is a constant that determines the shape and size of the parabola.

Completing the square on the x terms, we get:

y = -(1/8)(x² + 16x + 64) - 4 + 8

= -(1/8)(x + 8)² + 4

Comparing this to the standard form, we see that the vertex is (-8, 4) and a = -1/8.

Since the coefficient of x² is negative, the parabola opens downwards.

The focus of the parabola is located at a distance of 1/(4a) units from the vertex, on the axis of symmetry, which is a vertical line passing through the vertex.

Substituting the value of a, we get:

= 1/(4a)

= 1/(4(-1/8))

= 2

Therefore, the focus of the parabola is located 2 units below the vertex, on the line x = -8.

So the focus has coordinates (-8, 2).

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The simplified value of 8y + 4 - 3y + 12 is 5y+16

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. For example , 4x+5 , 2x²+2, 10y³+5y²+6

To simplify an expression means to write the expression Ina simpler form. for example 6y²+2y can be written as 2y( 3y+1)

Simplifying 8y + 4 - 3y + 12,

collecting like terms

8y-3y+4+12

= 5y+16

therefore the simplification of 8y + 4 - 3y + 12 is 5y+16

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Answer:

The length of the arc intercepted by a central angle of 3 radians in a circle of radius 76 is 228 and the length of the arc intercepted by a central angle of 2 radians in a circle of radius 15 is 30.

Explain:

The following formula determines the length of an arc that a circle's central angle intercepts:

Arc length is equal to (central angle / 2) 2r r r

where r denotes the circle's radius. We can determine the length of the two arcs using the following formula:

For the first circle, with a radius of 76 and a center angle of 3 radians:

Arc length = 3 x 76 = 228

Therefore, in a circle with a radius of 76, the length of the arc that is intercepted by a central angle of 3 radians is 228.

For the second circle, whose radius is 15, and whose center angle is 2 radians:

Arc length = 2 x 15 = 30

As a result, the length of the arc in a circle with a radius of 15 is 30 when it is intercepted by a central angle of 2 radians.

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