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Elina [12.6K]
3 years ago
14

S varies directly as t, and = 8 when = 16. Find the constant of variation and write a direct variation equation relating s and t

. Then find t when = 16. (Write answers in decimal form.)
constant of variation:

direct variation equation:

when s=16, t=
Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0

Answer:

aS

Step-tep explanation:

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25 pts What is the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down?
BartSMP [9]

Answer:

B

Step-by-step explanation:

1. A reflection across the origin has a rule

(x,y)\rightarrow (-x,-y).

2. A translation 9 units to the left and 7 units down has a rule

(x,y)\rightarrow (x-9,y-7).

Then the rule for a reflection across the origin followed by a translation 9 units to the left and 7 units down is

(x,y)\rightarrow (-x-9,-y-7).

This means that the point with coordinates (x,y) has the image with coordinates (x',y')=(-x-9,-y-7).

4 0
3 years ago
Read 2 more answers
Evaluate the expression 11C4.
kicyunya [14]

The correct answer is: 330

Explanation:

The formula for combination is given as follows:

^nC_r = \frac{n!}{r! (n-r)!} --- (1)

Where n = 11

r = 4

Plug in the values in equation (1) and calculate:

^nC_r = \frac{n!}{r! (n-r)!} \\ ^{11}C_{4} = \frac{11!}{4! (11-4)!} \\ ^{11}C_{4} = \frac{11*10*9*8*(7!)}{4! (7)!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4*3*2*1} \\ ^{11}C_{4} = 330 \\

Hence the correct answer is 330.

8 0
2 years ago
Read 2 more answers
6
saw5 [17]

The above expression is not in its simplest form, and we need to simplify it, that is what asked in the question.

Given equation,

(9 {x}^{2}  - 3x + 7) + ( - 3 {x}^{2}  + 2)

First of all, let's open the parentheses to combine the like terms for simplifying.

9 {x}^{2}  - 3x + 7 - 3 {x}^{2}  + 2

Arranging the like terms, x² with x², x with x and constant terms near to each other.

9 {x}^{2}  - 3 {x}^{2}  - 3x + 7 + 2

Simplying further,

(9 - 3) {x}^{2}  - 3x + 9

6 {x}^{2}  - 3x + 9

So, the correct option is C

<u>━━━━━━━━━━━━━━━━━━━━</u>

8 0
3 years ago
Fill in the blanks □+0=3/4.also mention the property used.
Dafna1 [17]

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

3 0
2 years ago
The volume of a cylinder is 225π cubic inches,
aleksklad [387]

The value of the height of the cylinder is 25cm.

According to the statement

we have to find that the height pf the cylinder with the given value of the volume.

So, For this purpose we know that the

The volume of a cylinder is the density of the cylinder which finds that the amount of material it can carry. Cylinder's volume is given by the formula, πr^2h.

From the given information:

The volume of a cylinder is 225π cubic inches, and the radius of the cylinder is 3 inches.

Then

volume = πr^2h

225π = π3^2h

Now, solve it then

225 = 9h

h = 25.

The value becomes 25.

So, The value of the height of the cylinder is 25cm.

Learn more about volume of a cylinder here

brainly.com/question/9554871

#SPJ9

5 0
1 year ago
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