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Bond [772]
3 years ago
7

Which expression is equivalent to (f + g)(4)?​

Mathematics
1 answer:
krok68 [10]3 years ago
6 0

Answer:

4f+4g

Step-by-step explanation:

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Figure 1 is a square pyramid. Figure 2 is a right triangular prism.
amm1812

Answer:

the answer is

The surface area of Figure 1 is <u>10.2</u> square centimeters <u>Less</u> than the surface area of Figure 2.

Step-by-step explanation:

Figure 1

area of a square = s2

=9squared

=81 sq cm

area of triangle = 1/2 bh

=1/2 (9cm) (14cm)

=63 sq. cm

find surface area

SA = 81 sq. cm + 4(63 sq. cm)

SA = 81 sq. cm + 252 sq. cm

SA = 333 sq. cm

Figure 2 Calculation

area of rectangle = lw

a = (12cm) (8 cm)

a = 96 sq. cm

area of triangle = 1/2 bh

=1/2 (8 cm) (6.9 cm)

= 27.6 sq. cm

total surface are of figure 2

SA = 3 (96 sq.cm) + 2 (27.6 sq. cm)

SA = 288 sq. cm + 55.2 sq. cm

SA = 343.2 sq. cm

find the difference between figure 1 and figure 2

343.2 sq. cm - 333 sq. cm = 10.2 sq. cm

5 0
3 years ago
An equation for the depreciation of a car is given by y=A(1-r)t where y=current value of the car.A=original cost r=rate of depre
Ann [662]
<h3>Answer: Approximately 6.58 years old</h3>

The more accurate value is 6.57881347896059, which you can round however you need. I picked two decimal places.

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

Explanation:

Let's pick a starting value of the car. It doesn't matter what the starting value, but it might help make the problem easier. Let's say A = 1000. Half of that is 1000/2 = 500.

So we want to find out how long it takes for the car's value to go from $1000 to $500 if it depreciates 10% per year.

The value of r is r = 0.10 as its the decimal form of 10%

t is the unknown number of years we want to solve for

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

y = A(1 - r)^t

500 = 1000(1 - 0.1)^t

500 = 1000(0.9)^t

1000(0.9)^t = 500

0.9^t = 500/1000

0.9^t = 0.5

log( 0.9^t ) = log( 0.5 )

t*log( 0.9 ) = log( 0.5 )

t = log( 0.5 )/log( 0.9 )

t = 6.57881347896059

Note the use of logs to help us isolate the exponent.

6 0
3 years ago
Solve the equation. Provide all solutions.<br> (x + 7)(x - 4) = 0
Papessa [141]

Answer:

x = -7, x = 4

Step-by-step explanation:

<u>Step 1:  Solve for x </u>

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Answer:  x = -7, x = 4

5 0
3 years ago
Read 2 more answers
Negative X Plus 2y equals 6
Inga [223]
Plus x on bot sides. then divide both sides by 2 to get y by itself.
5 0
4 years ago
2. Standard form: 8x + y = 9<br> Slope-intercept form:
Effectus [21]

Answer:

y = - 8x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

8x + y = 9 ( subtract 8x from both sides )

y = - 8x + 9 ← in slope- intercept form

6 0
3 years ago
Read 2 more answers
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