I need help with this question

An exponential function approaching a value of 10 as x approaches infinity is given as follows:

[tex]y = (0.25)^x + 10[/tex].

The general model for an exponential function is presented as follows:

[tex]y = ab^x + c[/tex]

In which the variables of the function are listed as follows:

In this problem, the function approaches value of 10 as x approaches infinity, meaning that the asymptote is of 10, hence:

c = 10.

The above condition is also only possible if the exponential function is decreasing, that is parameter b is between 0 and 1, hence one possible function is:

[tex]y = (0.25)^x + 10[/tex]

The restriction for parameter b is because if the function was increasing, that is, b > 1, it would approach infinity as x approaches infinity.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

1.23457

Step-by-step explanation:

You count 5 places from the decimal point. Then since 6 is greater than 5 you round up

ΔRNP and ΔSOP are congruent by the ASA rule.

What is Angle-Side-Angle (ASA) Rule?

If two angles and the included side of one triangle equal two angles and the included side of another, the triangles are congruent.

In the given figure,

For ΔRNP and ΔSOP,

                    ∠NRP ≅ ∠OSP ----- (Alternate angles)

                    ∠OPS ≅ ∠RPN ----- (Opposite angles)

                    Side PR ≅ Side PS

Hence, ΔRNP and ΔSOP are congruent by the ASA rule.

To learn more about the ASA rule, visit:

https://brainly.com/question/29360267

#SPJ1              

Answer:$16

$6 + $2(t)

Step-by-step explanation:

$6 + $2(5)

Audrey is driving to a concert and needs to pay for parking. There is an automatic fee of $6 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Audrey have to pay for parking if she left her car in the lot for 5 hours? How much would Audrey have to pay if she left her car in the lot for tt hours?

Cost of parking for 5 hours:

Cost of parking for tt hours:

Answer:

Red:  1/2

White:  1/6

Blue:  1/3

Step-by-step explanation:

You take and find the total number of marbles, which is 18. You then take the number of each different color and make that number your numerator, and 18 your denominator and reduce.

Red: 9/18 reduces to 1/2

White: 3/18 reduces to 1/6

Blue: 6/18 reduces to 1/3

Answer:

.......

.......

Step-by-step explanation:

.....

.....

.....

....

....

(D) The range is the output.

The domain of a function is the set of values that we are allowed to enter into our function. The x values for a function like f make up this set (x).

The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set. They are the y values.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation. The domain and range of a function are the components of a function.

To learn more about range here:

https://brainly.com/question/17553524

#SPJ1

Considering the linear function, the features are given as follows:

9. y-intercept: (0,2).

10. Equation: y = 5x/6 + 2.

11. y when x = 12: y = 12.

12. x when y = 4: x = 2.4.

13. y when x = -6: y = -3.

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

y = mx + b

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

In this problem, the function crosses the y-axis at y = 2, hence the intercept is:

b = 2.

When x increases by six, y increases by five, hence the slope is:

m = 5/6.

Thus the equation is:

y = 5x/6 + 2.

The numeric values for the function are given as follows:

The solution when y = 4 is given as follows:

4 = 5x/6 + 2.

5x/6 = 2

5x = 12

x = 12/5

x = 2.4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

10 units

Step-by-step explanation:

The distance formula is as follows:

D =  √[(x2 - x1)^2 + (y2 - y1)^2]

=      √[(-2 - 4)^2 + (-3 - 5)^2]

= √(-6)2 + (-8)2

= √100

= 10

Answer:

10 Units

Step-by-step explanation:

Distance (d) = √(-2 - 4)2 + (-3 - 5)2

= √(-6)2 + (-8)2

= √100

= 10

Hope this helps! :)

7/15 rows are left after crows ate some rows.

Total no. of rows he planted = 1 2/3

                                               = 1 + 2/3

                                               = (3 + 2)/3

                                               = 5/3

No. of rows crows ate = 1 1/5

                                     = 1 + 1/5

                                     = (5 + 1)/5

                                     = 6/5

No. of rows left = 5/3 - 6/5

                         = (25 - 18)/15

                         = 7/15

Hence, no. of rows left is 7/15.

To learn more about rows here:

https://brainly.com/question/27917476

#SPJ1

Answer: 15 feet

Step-by-step explanation:

180 inch = 15 feet

The midpoint of a given line segment must lie on the given line segment is True.

What is midpoint?

 A midpoint is a location that sits in the middle of the line connecting two points and is situated between them. If a line is drawn connecting the two points, the midpoint is the place on the line that is equally distant from both points. A point B that is situated halfway between two other points, such as A and C, is said to be the midpoint. Because of this, finding the midway only requires measuring the length of the line segment and dividing it by 2.

Here the given statement is,

=> The midpoint of a given line segment must lie on the given line segment.

Here according to the given statement we know that the midpoint of the any line lies on the given line.

Hence the given statement is True.

To learn more about midpoint refer the below link

https://brainly.com/question/24431553

#SPJ9

The formulas give the standard deviation will be sₓ=√(0-1)²+(0-1)²+(1-1)²+(3-1)²/4.Option C is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

It is given that, Harry asked a sample of 4 people how many siblings they had. Here are their responses:0,0,1,3  The mean is 1 sibling.

[tex]\bar x =1 \\\\ n =4[/tex]

The formulas give the standard deviation as,

[tex]\rm s_x = \sqrt{\frac{(x_1-\bar x)^2+(x_2-\bar x)^2 +(x_3- \bar x)^2 }{n-1} } \\\\ s_x = \sqrt{\frac{(0- 1)^2+(0-1)^2 +(1- 1)^2 + (3-1)^2}{3} }[/tex]

Thus, the formulas give the standard deviation will be sₓ=√(0-1)²+(0-1)²+(1-1)²+(3-1)²/4.Option C is correct.

Learn more about the standard deviation here:

brainly.com/question/12402189

#SPJ2

The slope concept shows that there are 335.3953 feet between points A and B.

The slope is calculated by dividing the vertical and horizontal changes. A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Additionally, it is the tangent to the depression angle.

The vertical change in this issue is 103 feet.

At point A, the horizontal position is represented by xA, and the angle there is 18o, so: tan 18 degree = 103/xA xA = 103/tan 18 degree xA = - 90.5653

At point B, the horizontal position is at, and the angle is at, so: tan 75degree = 103/xB xB = 103/tan 75 degree xB = - 244.83

The measurement is given by: d = xA - xB d = -90.5653 - ( - 244.83)

d = 335.3953

To learn more about slope refer to:

https://brainly.com/question/3493733

#SPJ1

Answer:

289.4

Step-by-step explanation:

Answer: Table A

Step-by-step explanation:

The table must have a constant rate of change on both sides. Table B goes up by 2, then 2, then 3, which breaks the pattern (this is in the y-axis).

Table C goes up by 3, then 4, then 4, which is ALSO an inconsistent pattern (in the x-axis). Table D goes up by 2, then 1, then 2, which is also inconsistent (y-axis).

This leaves Table A, which has a consistent pattern on both sides.

Answer:

A. x= .100

Step-by-step explanation:

Answer:

  B by a factor of about 5.208

Step-by-step explanation:

Given two right square pyramids (A and B) with perimeters 396 m and 496 m, and corresponding heights of 72 m and 239 m, you want to which has the greater volume and by what factor.

The volume of a right square pyramid is proportional to its height and to the square of its perimeter.

Pyramid B has both a longer perimeter and a greater height, so Pyramid B has the greater volume.

The constant of proportionality between the dimensions and the volume is the same for both pyramids, so the ratio of their volumes is ...

  Vb/Va = ((Pb)²Hb)/((Pa)²Ha) = (496²·239)/(396²·72) ≈ 5.208

Pyramid B has about 5.2 times the volume of Pyramid A.

__

Additional comment

The volume of a right square pyramid is given by ...

  V = 1/3s²h . . . . . where s is the side length and h is the height

  V = 1/3(P/4)²h = (1/48)P²h . . . . where P is the perimeter of the base

Answer:

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+7x2 

Group 2:  4x-12 

Pull out from each group separately :

Group 1:   (x+7) • (x2)

Group 2:   (x-3) • (4)

Answer:

from the drop down menu the answers are:

x-1

x+2

x+6

Answer:

c

Step-by-step explanation:

i did the question

Answer:

I'm pretty sure it's C... rational number because 0.3% can be written like a fraction!

Step-by-step explanation:

I'm sure that's the answer hope it helps!

Good luck!!!

Answer:  We will never reach a sum of 2

We get closer and closer to 2, but never actually reach this exact value.

==============================================================

Explanation:

The sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

is geometric with these properties

We multiply each term by 1/2 to get the next one.

Examples:

----------------

Notice how -1 < r < 1 is true, i.e. -1 < 1/2 < 1 is true.

Because of this fact, we can determine the sum of infinitely many terms.

That infinite sum is

S = a/(1-r)

This is our upper bound of what we can reach for S.

Calculating it gives:

S = a/(1-r)

S = 1/(1-0.5)

S = 2

Therefore, the sum of the infinitely many terms of this geometric sequence is 2.

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + ... = 2

We never quite reach 2 exactly due to the fact we cannot reach infinity on the number line. Infinity is not a number, but rather a concept.

Therefore, we never reach a sum of 2. We simply get closer and closer.

-------------

Using computer software, I was able to generate this:

The decimal values are exact without any rounding done to them. As you can see, the results of 1.5, 1.75, 1.875, etc are slowly approaching 2 but never get to that exact value itself. Visually you can think of an asymptote.

Model equivalent to 16 2/3 % is Option D.

Given:

The number of students at Liam's elementary school has increased 16 2/3 % in the past two weeks.

Option D is divide into six parts with one filled which is equal to 16 2/3 %.

Total parts = 6 * 16 2/3

= 6*48+2/3

= 6 * 50/3

= 300/3

= 100%

Here total parts is equal to 100% so it is the correct option.

Therefore model equivalent to 16 2/3 % is Option D.

Learn more about the model equivalent here:

https://brainly.com/question/15318393

#SPJ1

Answer:

Yes, this triangular table is a right triangle. It is a 3, 4, 5 Pythagorean triple.

What is a right triangle?

A right triangle is a triangle in which one of the angles is 90 degrees, making the other two angles acute angles.

What is a Pythagorean triple?

A Pythagorean triple is a set of three whole numbers, a < b < c, for which,

a^2 + b^2 = c^2

Answer:

yes it is a right triangle

Step-by-step explanation:

to find out we can use the Pythagorean theorem

a^2+b^2=c^2

We can use the shorter angles for a and b and see if this equals 5

3^2+4^2=c^2

9+16=c^2

25=c^2

Square root both sides

5=c

This triangle is a right triangle

Hopes this helps please mark brainliest

The length of the shadow is 24. 56m

From the information given, we have that;

Using the Pythagorean theorem, we have;

a² = b² + c²

Substitute the values, we get;

38² = 29² + c²

Find the squares

1444 - 841 = c²

c² = 603

Find the square root of both sides

c = 603

c = 24. 56m

Hence, the value is 24. 56m

Learn more about Pythagorean theorem here:

https://brainly.com/question/343682

#SPJ1

Jane scored 27 out of 42 on her Maths test and 39 out of 61 in a Science test, the percentage in Maths and Science is 64.2% and 63.9% respectively.

Percent derived from the Latin word, per centum which means “by the hundred.”

Percentage is the number or ratio which is expressed in the fraction of 100 it indicate the hundredth part of any quantity. It is denoted as "%". It is used to compare the first quantity against the second. It can be calculated by dividing the value with the total value and multiplied by 100.

The formula used to calculate percentage is= (value/total value)×100%.

For given information,

Percentage for Maths test = (27/42)*100 = 64.2%

Percentage for Science test= (39/61)*100 = 63.9%

Thus, Jane scored 27 out of 42 on her Maths test and 39 out of 61 in a Science test, the percentage in Maths and Science is 64.2% and 63.9% respectively.

Learn more about Percentage, here:

https://brainly.com/question/29306119

#SPJ1

Answer:

2x + y = 3 becomes y = 3 - 2x

-2x + y = -1 becomes y = -1 + 2x

2x + y = 5 becomes y = 5 - 2x

Parallel: 2x + y = 5

Perpendicular: 0.5x + 7

neither parallel nor perpendicular to line a: -2x + y = -1

Answer: a,c

Step-by-step explanation:

Answer:

y=-10-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Answer:

y=-10x-7

Step-by-step explanation:

3=-10(-1)+5/4

3=10+5/4

3=11 1/4

11 1/4-3=8 1/4

5/4-33/4=-28/4=-7

3=-10(-1)-7

3=10-7

3=3

Answer:

There are 7.3152 meters in 24 feet.

Step-by-step explanation:

1 foot = 0.3048, so...

0.3048 x 24 = 7.3152 meters = 24 feet.