The total surface area of the prism

Answer:

We proceed to use the following operations: (i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex]), (ii) Vertical compression ([tex]c = \frac{1}{2}[/tex]), (iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex]). The graph is presented below.

Step-by-step explanation:

To transform [tex]y = \frac{5}{4}\cdot x + \frac{1}{2}[/tex] into [tex]y = \frac{5}{8}\cdot x + \frac{1}{2}[/tex], we apply the following steps:

(i) Vertical translation downwards ([tex]k = -\frac{1}{2}[/tex])

[tex]g(x) = f(x) +k[/tex] (1)

(ii) Vertical compression ([tex]c = \frac{1}{2}[/tex])

[tex]g(x) = c\cdot f(x)[/tex] (2)

(iii) Vertical translation upwards ([tex]k = \frac{1}{2}[/tex])

[tex]g(x) = f(x) + k[/tex]

Now, we proceed to transform the primitive expression:

Step 1

[tex]f'(x) = \frac{5}{4}\cdot x[/tex]

Step 2

[tex]f''(x) = \frac{5}{8}\cdot x[/tex]

Step 3

[tex]g(x) = \frac{5}{8}\cdot x + \frac{1}{2}[/tex]

The graph of both function are now presented below. The parent function is the red line and the new function is represented by the blue line.

Answer:

142

Step-by-step explanation:

.jdnxixsykxkxmxmxmmxmmsmsmsmsmxmx

Answer:

90-62=28

28+38=66

90-66=24

in 15 seconds they are 24 meters lower

Answer:

47 hours?

Step-by-step explanation:

She would have 47 hours lol

If she says yes then she would have enough time to spend with family and then 1 hour to go?

Answer:

0.16 in decimal

Step-by-step explanation:

Answer:

0.16

Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.

16/100

Then when you divide it, it becomes 0.16.

Answer:

sides are 15 cm, 17 cm, and 19 cm

Step-by-step explanation:

x + (x+2) + (x+4) = 51

3x+6 = 51

3x = 45

x = 15

Answer:

I just answered this

do 62.31/3 which is 20.77 so 1 shirt cost 20.77

now do 20.77+3.66 which is 24.43

so the answer is C. $24.43

3x=18

x= 6

6 dollars in pocket

Answer:

32+s=55

Step-by-step explanation:

Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.

Answer:

-660

Step-by-step explanation:

-595-65=-660

Answer:

Step-by-step explanation:

157x24 = ...

Answer:

Sydney car can go 44.4 miles on gallon

Answer:

(A) The distance from the drinking fountain to the bench is 4, and the distance from the bench to the center of the slide is 3 because if you add -4 and 0 you will get 4 and if you subtract 5 and 2 you will get 3.

(B) The type of triangle that is created is an obtuse triangle because when you connect the 3 locations it creates an obtuse triangle on the coordinate grid.

Step-by-step explanation:

I already explained in the answer. Hope this helps and gets you an 100%

:)

Answer:

4 units, 3 units

(b) Right-angled triangle

Step-by-step explanation:

Answer:

9/10

Step-by-step explanation:

3/5 = 6/10 = 9/10 = 9/10

I'm not 100% sure of this answer someone please correct me if I'm incorrect.

Answer:

Michael: 24

Junior: 8

Step-by-step explanation:

8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.

Answer: {t| t ≥ 2}

Step-by-step explanation:

3t - 6 ≥ t - 2

-t         -t

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

2t - 6 ≥ -2

   +6    +6

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

2t ≥ 4

t ≥ 2

Answer:

Exponential decay

Answer:

10.6

Step-by-step explanation:

y=a(2)^t/d

Plug in

720=370(2)^t/11

Divide both sides by 370

1.945945946 = (2)^t/11

Log both

Log(1.945945946) / Log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

10.56518799 to the nearest tenth is 10.6 = t

It would take 10.6 years for the value of the account to reach $720.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

A person put $370 into an account that grew at a rate that allowed the money to double every 11 years.

As per the question, we can write an exponential function as:

[tex]y=a(2)^{t/d}[/tex]

Substitute the values of y = 720, a = 370 and d = 11 in the above equation:

[tex]720=370(2)^{t/11}[/tex]

Divide both sides by 370

[tex]1.945945946 = (2)^{t/11}[/tex]

Take logarithms on both sides of the equation,

log(1.945945946) / log(2)

0.9604716359 = t/11

0.9604716359 x 11 = t

t = 10.56518799

Rounded to the nearest tenth

t = 10.6

Thus, the required time would be 10.6 years.

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

5:6

Step-by-step explanation:

1 hour = 60 minutes

Ratio of 50 minutes to 1 hour;

50/60

5:6

Answer:

5:6

Step-by-step explanation:

1 hour= 60 min

50: 60

5:6

Answer:

The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3

Step-by-step explanation:

Hope this Helped

Answer:

First you have to add the price of one soft drink and one sandwich which would be $3.28. Then divide 50 with 3.28 and you get 15.2439 approximately 15.

So your asnwer should be A. 15

Step-by-step explanation:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Answer:

2 and 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given A (-1, -6) and  B (-7, -3)

Slope (m)

= y2-y1/x2-x1

= - 3 + 6 / - 7 + 1

= 3/-6

=-1/2

hope it helps :)

Answer: 3 / -6

Step-by-step explanation:

-3 - (-6) / -7 - - 1 = 3 / -6

The subtraction turns into addition because to “-“ equals “+” and if graphed the points will go up three units and six units to the left

Answer:

sorry

Step-by-step explanation:

sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes