which of the following is a exponential function ?

Answer:

15x²

Step-by-step explanation:

Given

f(x) = 5x² , then

3f(x) = 3 × 5x² = 15x²

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

)

The measures of the other seven angles are evaluated as:

[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]

Two angels whose sum is 180° are called supplementary angles.

When they are added together graphically, they form a straight line.

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. They are of same measurement.

In literal sense, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

For this case, we have:

Angle 1,2,3 and 4 corresponding to 5,6,7 and 8 angle respectively.  It is because the two lines A and B are parallel and the traversing line intersects both of them. When single line intersect two parallel lines, it makes same corresponding angles on both of the sides. That means

[tex]m\angle 1 = m\angle 5\\m\angle 2 = m\angle 6\\m\angle 3 = m\angle 7\\m\angle 4 = m\angle 8[/tex]

where that small 'm' denotes that we're taking about their measurements.

Thus, we will only find 1,2,3,and angle 4's measurements and rest four would be found.

Since angle 1 and angle 4 are vertical angles, they are same measurement. Since angle 1 is of 65 degrees, thus:

[tex]m\angle 1 = 65^\circ = m\angle 4[/tex]

Now, since angle angle 3 is supplementary to angle 1 and so as angle 2 to angle 4, thus:

[tex]m\angle 2 + m\angle 4 = 180^\circ\\m\angle 2 = 180-m\angle 4= 115^\circ\\\\m\angle 3 + m\angle 1 = 180^\circ\\m\angle 3 = 180-m\angle 1= 115^\circ[/tex]

Thus, we get the measurement of all angles as:

[tex]m\angle 1 = 65^\circ = m\angle 5\\m\angle 2 =115^\circ = m\angle 6\\m\angle 3 =65^\circ = m\angle 7\\m\angle 4 = 115^\circ =m\angle 8[/tex]

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Answer:

Compound interest

Step-by-step explanation:

The question requires us to determine if the interest earned is a simple or compound interest

Simple interest = amount deposited x time x interest rate

Future value with compounding = A( 1 + r)^n

A = amount deposited

r = interest rate

n = time

We would calculate the simple interest and the future value in year 2

Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50

Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50

Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42

The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done

Answer:

Step-by-step explanation:the answer will be 100

Answer: A: find the product of D and $2.25 and the product of t and $0.75. Then find the sum of the two products.

The total fare for the bus can be found by first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

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 that,

The total fare for the bus can be calculated using the expression

d × 2.25 + t × 0.75

Here d is the total days that Kelly worked in a month.

On each of these days, she pays a fare of $2.25.

Total fare now = d × 2.25

Find this product.

There is also an additional fare of $0.75 to transfer onto another bus on t of these days.

Additional fare = t × 0.75

Find this product.

Add the resultant both products.

Hence the statement which explains how to find Kelly's total bus fare for the month is first find the product of d and $2.25 and the product of t and $0.75. Then find the sum of the products.

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Answer:

$130

Step-by-step explanation:

Given data

Customer bill= $125

Charge= 4%

let us find 4% of $125

=4/100*125

=0.04*125

=$5

Hence the  bill including the local fee is

=125+5

=$130

Answer:

11 is the answer

Step-by-step explanation:

8+7-4

15-4

11

on number positive 11 is the answer

its just simple addition and substraction then the result can displayed on number line where 11 comes on number line mark that point

Answer:

C) p + 3 < 20

Step-by-step explanation:

Since the max is 20, it has to be < 20

p + 3 < 20

Answer:

2497

Step-by-step explanation:

Answer:

2497

Step-by-step explanation:

53 + 2444

= 0053 + 2444

= 2497

Answer:

Step-by-step explanation:

Perimeter of the rectangle = PQ + QR + RS + SP

                                      = b +l + b + l

                                      = 2b +2l

Again,  

ABCD is a rectangle. We know that the opposite sides of a rectangle are equal.

Perimeter of a Rectangle

AB = CD = 5 cm and BC = AD = 3 cm

So, the perimeter of the rectangle ABCD = AB + BC + CD + AD = 5 cm + 3 cm + 5 cm + 3 cm = 16 cm

It can be written as 5 cm + 5 cm + 3 cm + 3 cm

                       = (2 × 5) cm + (2 × 3) cm

                       = 2 (5 + 3) cm

                       = 2 × 8 cm

                       = 16 cm

We add length and breadth twice to find the perimeter of a rectangle.

Answer:

1.) 150

2.) 10

Step-by-step explanation:

If you look at the chart, above the 25 in the seconds row in the gallons row is 150.

This means that the chart tells you there are 150 gallons for every 25 seconds.

The second question asks about 60 gallons. So, if you look at 60 on the gallons row, and look below it on the seconds row, you see 10.

This means the chart tells you there are 60 gallons for every 10 seconds.

Answer:

p2 = -1

Step-by-step explanation:

p = -1/2

p2 = (-1/2)*2

p2 = -2/2

p2 = -1

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Answer:

x = 57°

Step-by-step explanation:

angles on a straight line add up to 180°. to work out x, we need to subtract 70 and 53 from 180, to get the remaining angle, aka angle x. 180-70=110.

110-53= 57. therefore, x = 57°.

The measure of angle x in the straight line ABC is 57 degrees

An equation is an expression that shows the relationship between two or more numbers and variables.

From the diagram:

x + 53 + 70 = 180° (sum of angles in a straight line).

Hence:

x = 57°

The measure of angle x in the straight line ABC is 57 degrees

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Answer:

a

Step-by-step explanation:

[tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]

Answer:

how should we help?

Step-by-step explanation:

Answer:

dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...

~ i hope this has helped ya out some how, hope ya find your airpods my friend!~

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think 15 or 8

hope it helps

Answer:

Target distance is 4/5 miles

walked 2/5 miles  and walked 1/4 miles

so distance need to walk is 3/20

-heart or brainly me :3-

Answer:

1.1 more miles after dinner

Step-by-step explanation:

add 2.5 and 1.4 to get 3.9, then subtract 3.9 from 5 to get 1.1

Answer:

y+3=1/4(x-8)

simplified -> y+3=1/4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/4(x-8)

y+3=1/4(x-8)

If you want it to be further simplified

y+3=1/4x-2

Answer:

The highest height the ball achieves is 4.5125 meters.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

Quadratic function [tex]y = -0.2x^2 + 1.9x[/tex], which has [tex]a = -0.2, b = 1.9[/tex].

The maximum height of the ball is [tex]y_{v}[/tex].

Then

[tex]\Delta = b^2-4ac = (1.9)^2 - 4*(-0.2)(0) = 3.61[/tex]

[tex]y_{v} = -\frac{3.61}{4(-0.2)} = 4.5125[/tex]

The highest height the ball achieves is 4.5125 meters.

Answer:

1) A ; 2) D ; 3)B ; 4)C

Step-by-step explanation:

we can solve every option and see what trinomal result

A (2x-3)(x-3) = 2x^2 -6x-3x +9 = 2x^2-9x+9

B (2x+3)(x-3) = 2x^2 -6x+3x-9 = 2x^2-3x+9

C (2x-3)(x+3) = 2x^2+6x-3x-9 = 2x^2+3x-9

D (2x+3)(x+3) = 2x^2+6x+3x+9 = 2x^2+9x+9

Answer:

288 ft³

Step-by-step explanation:

Given that

The volume of each box is 1 cubic foot

And, Hollies required 8 of these layers

Now based on the above information

We assume that the dimension of the base layer is 6 by 6

So, the volume of the container is

= Length × Width × Height

where,

Length = 6 ft

Width = 6 ft

And, Height = 8 ft

So,

= 6 ft × 6 ft × 8 ft

= 288 ft³

Answer:

3 hrs 38.2 min, Candle 2 will be three times the length of candle 1

Step-by-step explanation:

If Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
Dora has three candles, which will burn for 3, 4, and 5 hours,
The combination of the hours of burning,
3 + 4 = 7 hours
4 + 5 = 9 hours
3 + 5 = 8 hours

Thus, if Dora burns candles that burn for 4 and 5 hours they burn for 9 hours combined one after another.

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