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3 years ago

To replace a number with another number that tells how many or how much

Mathematics

1 answer:

Papessa [141]3 years ago

8 0

It's subtraction or multiplacation

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Given f(x)=21x+14, find f(5)

loris [4]

$f(5)=21\cdot5+14=105+14=119$

6 0

3 years ago

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distan

OleMash [197]

Answer:

$S_g= 33.333cm$

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

$S_g=\frac{a(1-r^n)}{1-r}$

Mathematically solving for total distance traveled we have

$S_g=\frac{30(1-(0.10^5)}{1-(0.10)}$

$S_g=\frac{30}{0.9}$

Therefore the total distance traveled by the pendulum after 5 swings

$S_g= 33.333cm$

3 0

3 years ago

Your savings account pays 1.75% interest per year. You make a $500 deposit. How much interest does the account earn in the first

GaryK [48]

1,75% = 0,0175

per month: 0,0175/12 = 0,00145833

500*0,00145833 = 0,73$ interest

8 0

3 years ago

Read 2 more answers

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

6 0

3 years ago

Acellus

Step2247 [10]

Answer:

57 cm²

Step-by-step explanation:

Surface area of the yellow prism = front + back + right + left + top

✔️Area of the front = L * W

L = 4 cm

W = 3 cm

Area of the front = 4*3 = 12 cm²

✔️Area of the back = L * W

L = 4 cm

W = 3 cm

Area of the back = 4*3 = 12 cm²

✔️Area of the right face = L * W

L = 4 cm

W = 3 cm

Area of the right face = 4*3 = 12 cm²

✔️Area of the left face = L * W

L = 4 cm

W = 3 cm

Area of the left face = 4*3 = 12 cm²

✔️Area of the top = L * W

L = 3 cm

W = 3 cm

Area of the top = 3*3 = 9 cm²

✅Total = 12 + 12 + 12 + 12 + 9 = 57 cm²

4 0

3 years ago