The plot below represents the function f(2):
4
3
2
1
5 4 3 2 1
Evaluate f (4):
f14)
41
X
Solve f(x) = 4:
ONE
Question Help D Video Message instructor D Pos
Stanit Question

Answer:

C

Step-by-step explanation:

Here, we want to find which of the expressions have the greatest rate of exponential growth.

The easiest way to go about this is have a substitution for the term t;

Let’s say t = 6

Thus;

h(t) = 1.18^1 = 1.18

K(t) = 0.375^6 = 0.002780914307

f(t) = 1.36^6 = 6.327518887936

g(t) = 0.86^6 = 0.404567235136

Another way to find this is to express each as a sum of 1

f(t) = (1+ 0.36)^t

g(t) = (1-0.14)^t

k(t) = (1-0.625)^t

We can see clearly that out of all the terms in the brackets asides 1, 0.36 is the biggest in value

Answer/Step-by-step explanation:

Given that the side length of a squared field is represented by the expression 3 - 7x,

a. Perimeter of the squared field (expressed as a sum):

Permimeter of a square = s + s + s + s

All sides of a square are of equal length.

s = side length of the squared field = 3 - 7x

Thus,

Perimeter expressed as a sum = (3-7x) + (3-7x) + (3-7x) + (3-7x)

b. Permitted of squared field expressed as a product:

Perimeter of square expressed as product = 4(s)

s = side length of squared field = 3 - 7x

Permimeter of squared field expressed as a product = 4(3 - 7x)

c. An equivalent expression for the product in (b) can be written using the distributive property as follows:

Perimeter = 4(3 - 7x)

Perimeter = 4(3) - 4(7x)

Answer:

Step-by-step explanation:

[tex]2a(b + a) - 2b(b - a)[/tex]

Expand by distributing terms:

[tex]2ab + 2 {a}^{2} - (2 {b}^{2} - 2ba)[/tex]

Remove parentheses:

[tex]2ab + 2 {a}^{2} - 2 {b}^{2} + 2ba[/tex]

Collect like terms:

[tex]2ab + 2ba + 2 {a}^{2} - 2 {b}^{2} [/tex]

Simplify:

[tex]4ab + 2 {a}^{2} - 2 {b}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

[tex]d=14-4\\d=10\ hours[/tex]

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

[tex]t=12+10\\t=22 = 10:00\ p.m.[/tex]

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

[tex]F= (24-22)+13\\F=15\ hours[/tex]

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

[tex]T=30-(15*1)\\T=15^oC[/tex]

Converting it to Fahrenheit

[tex]T=(15*\frac{9}{5})+32 \\T=59\ F[/tex]

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer:

$12.40

Step-by-step explanation:

Answer:

$31.80

Step-by-step explanation:

First, find the sale price.

Normally you pay for 100% of the price. Since it is 25% off, you only pay for 75% of the price. (100%-25%=75%)

Therefore, we can multiply 75% and $40

75% * $40

Convert 75% to a decimal by dividing 75 by 100 or moving the decimal place 2 spots to the left.

75/100=0.75

75.0 --> 7.5 --> 0.75

0.75* $40

Multiply

$30

Now, find the price with tax.

You have to pay for 100% of the price, plus an additional 6% for the tax. Therefore, you are actually paying for 106% of the price (100% + 6% = 106%)

Therefore, we can multiply 106% and $30

106% * $30

Convert 106% to a decimal by dividing 106 by 100 or moving the decimal place 2 spots to the left.

106/100=1.06

106.0 --> 10.6 --> 1.06

1.06 * $30

Multiply

$31.8

Niko paid $31.80 for the game.

Answer: n = 20

Step-by-step explanation:

Given that the problem goes thus:

When a number, n is added to 1/5 n of itself, the outcome obtained is 24.

Mathematically,

n + 1/5 of n = 24

n + (1/5n) = 24

1n + 1/5n = 24

(5n + 1n) / 5 = 24

6n / 5 = 24

6n = 24 × 5

6n = 120

n = 120 / 6

n = 20

Answer:

B on edg, n=20

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm

While a unit cube has a volume of 1 cubic cm

So,

2 cubes of these dimensions can fit into a unit cube.

Answer:

2

Step-by-step explanation:

volume of the unit cube:

V = 1 * 1 * 1 = 1

volume of the half-cube:

V = 1/2 * 1 * 1 = 1/2

number of half cubs that fit in unit cube:

1/(1/2) = 2

Answer: 2

Answer: 6

Step-by-step explanation:

38+x= 13+5+8+x

38+x=26+x

38-26=2x

12=2x

x=6

Answer:

59/130

Step-by-step explanation:

Answer:

Sell price is not always higher than the buy price.

When there is profit, sell price is higher than the buy price.

When there is loss, sell price is lower than the buy price.

Step-by-step explanation:

Answer:

Currency numeric Value is always worth different in another country

Step-by-step explanation:

When talking about Currency you have to understand that the United Nations has not set up a universal currency yet, so countries are still using the currency that they started using hundreds of years ago.

In the example of exchanging Yen to USD. In numeric value 1 Yen is worth about $0.0093 USD.

Whereas USD to Yen the exchange rate is 1 USD is about 106.99 Yen. Because of the United States value to the 1 dollar bill.

Answer:

-5cd

Step-by-step explanation:

-3cd-2cd+4d-4d

-3cd-2cd=-5cd

4d-4d=0

=-5cd

Answer:

Solution,

[tex] - 3cd - d(2c - 4) - 4d \\ = - 3cd - 2cd + 4d - 4d \\ = - 5cd[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

Let the number of balloons be X

Xiao Duo = X

Xiao Hua = X

Xiaoduo used 16 balloons = x - 16

Xiaohua balloons x = 3 ( x - 16)

x = 3x - 48

Collect like terms

48 = 3x - x

48 = 2x

Divide both sides by 2

48/2= x

x = 24

Xiaohua has 24 balloons

Answer:

(0,6)

Step-by-step explanation:

i think y= b^x because it is only the odd one from the group

Answer:

(-3, -2) is the image of P(3, 2).

Step-by-step explanation:

Given: a point P with coordinates (3, 2).

To find: Image of point P after 180° counterclockwise about the origin.

Solution:

Let us have a look at the coordinates and try to learn how a coordinate is written.

(3, 2) means x coordinate or value on x axis = 3 and

y coordinate or value on y axis = 2

Please have a look at the attached image to understand how the point P is plotted on xy axis.

Point P(3, 2) lies in 1st quadrant.

When a counterclockwise rotation is given the point will move from 1st quadrant to 2nd quadrant to 3rd quadrant to 4th quadrant.

A 90° rotation will cause the point to move to 2nd quadrant from 1st quadrant.

Another 90° rotation will cause the point to move to 3rd quadrant from 2nd quadrant.

So, the image of point P will lie in the 3rd quadrant where both x and y coordinates are negative.

Hence, the image will be P'(-3, -2).

Answer:

( -3 , -2 )

Step-by-step explanation:

Answer:

p(x) = (x + 1)²(5x - 1)²

Step-by-step explanation:

Since we are given the 2 zeroes, we put them into binomial form:

(x + 1)(5x - 1)

We are also given that we have the polynomial degree of 4, and both zeroes have a multiplicity of 2. Therefore, both roots are powered by 2:

(x + 1)²(5x - 1)²

When we multiply it out, we should get a polynomial with a degree of 4.

Answer:  B. H(t) = -6.9(t - 2.3)² + 112

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex   ⇒    k is the maximum height

the distance traveled is when y = 0     ⇒    [tex]x=\sqrt{\dfrac{-k}{a}}+h[/tex]

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = [tex]\sqrt{\dfrac{-98}{-7.1}}+2.3[/tex]    = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-7.5}}+2.2[/tex]    = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = [tex]\sqrt{\dfrac{-112}{-6.9}}+2.3[/tex]    = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

Answer:

1 : 6/25

Step-by-step explanation:

Convert 2.5 meters to cm

We know 100 cm = 1m

2.5 m * 100cm / 1m = 250 cm

250 cm : 60 cm

Divide by 250

250/250 = 60/250

1 : 6/25

or as a decimal

1 :  .24

Answer:

5.

Step-by-step explanation:

If the first 4 picked are of different colours then the fifth  sock must be a match. for one of the four.

Answer:

B. 4%

Step-by-step explanation:

Since Hope earns $45,000 per year in taxable income, she falls under the second tax bracket (income higher than $40,000) for long term capital gains = 15%.

Her total capital gain was $200 x (1 - 15%) = $170 in net after tax earnings

her return on investment = net after tax earnings / total investment = $170 / $4,250 = 0.04 = 4%

Answer: 4%

Step-by-step explanation:

Answer:

(0, 5), (0, 1), and (3, 1).

Step-by-step explanation:

If the shape should be rotated about the y-axis to make a cone, then the shape needs to be a right triangle. It will have its length on the y-axis, and the other length either parallel to, or on, the x-axis.

Since we already have a point at (0, 5), we can have another point at (0, 1). That means that the side length is 4. Now, we can make a 3-4-5 right triangle by having another point at (3, 1).

Hope this helps!

Answer:

31.5

Step-by-step explanation:

To find the area of this shape we must divide it into 2 parts :

Answer:

44%

Step-by-step explanation:

1% of 54 is 0.54

78/0.54=144.444444

-100% b/c that's the base

44% better

Answer:

4 + b² = 104

Hope this helps. :)

Answer:

b^{2}  + 4 = 104.

Step-by-step explanation:

The sum of 4 and the second power of b basically means 4 + b^2.

b^2 + 4 = 104

[tex]b^{2} + 4 = 104[/tex]

b^2 = 100

b = plus or minus 10.

Hope this helps!

Answer:

£7

Step-by-step explanation:

Let's call Josh's money 'J' and Leon's money 'L'.

Then, we can write the following system of equations:

[tex]J + L = 73[/tex]

[tex](J - 5) = 1.25(L - 5)[/tex]

From the first equation, we have:

[tex]J = 73 - L[/tex]

Using this value of 'J' in the second equation, we have:

[tex](73 - L - 5) = 1.25(L - 5)[/tex]

[tex]68 - L = 1.25L - 6.25[/tex]

[tex]2.25L = 74.25[/tex]

[tex]L = 33[/tex]

[tex]J = 73 - L = 73 - 33 = 40[/tex]

At the start Josh has £40 and Leon has £33, so the difference is:

[tex]J - L = 40 - 33 = 7[/tex]

Answer:

[tex]x_1 = 43.5145\°[/tex]

[tex]x_2 = 316.4855\°[/tex]

Step-by-step explanation:

We have a positive value for the cosine of x, so we know that the value of x should be in the first quadrant (0 ≤ x ≤ 90) or in the fourth quadrant (270 ≤ x ≤ 360).

Now, let's find the value of x that gives cos(x) = 0.7252 using the inverse function of the cosine, that is, the arc cosine function.

The value of x can be calculated using:

[tex]x = arccos(0.7252)[/tex]

Using this function in a calculator (you may find it as: [tex]cos^{-1}(x)[/tex]), we have that:

[tex]x_1 = 43.5145\°[/tex]

So this is the value of x in the first quadrant. To find the other value of x, in the fourth quadrant, that gives the same result, we just need to calculate 360° minus the value we found:

[tex]x_2 = 360\° - 43.5145\° = 316.4855\°[/tex]

So the values of x are:

[tex]x_1 = 43.5145\°[/tex]

[tex]x_2 = 316.4855\°[/tex]

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▹ Answer

448/945

▹ Step-by-Step Explanation

[tex]\frac{4}{7} * \frac{8}{9} \\\\= \frac{32}{63} \\\\\\\frac{32}{63} * \frac{14}{15\\} \\\\= \frac{448}{945}[/tex]

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

Step-by-step explanation:

4/7×8/9×14/15

= 64/135

Answer:

The answer is D 4 seconds