The graph of f ′(x) is continuous and increasing with an x-intercept at x = 5. Which of the following statements must be true?

Yoshi is 5% taller today than she was one year ago. Her current height is 168 cm. How tall was she one year ago

NemiM [27]

155.6 CM
I divided 168 by 100 to find 1% then i got 1.68cm then I times that by 5 to find 5% which was 8.4cm. Finally I subtracted 168 and 8.4 to get 155.6 CM
I hope that helped :)

5 0

3 years ago

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How many decibels is this? show work

slavikrds [6]

Answer:

115 dB

Explanation:

1. Given equation:

$\beta =10log(\frac{I}{I_0})\\\\ I_0=10^{-12}W/m^2$

2. Given intensity:

$I=0.315W/m^2$

3. Decibels

$\beta =10log(0.315/10^{-12})\\ \\ \beta =10log(315,000,000,000)\\ \\ \beta =10(11.498)=114.98\approx 115$

4 0

3 years ago

2 u + 12 < 23 0,1 d + 8 > 0 3 - 4 r > 7 13 < 2 z + 3 6 ≥ 9 - 0, 15 i

BartSMP [9]

Answer:

Part 1) $u< 5.5$

Part 2) $d > -80$

Part 3) $r < -1$

Part 4) $z>5$

Part 5) $i\geq 20$

Step-by-step explanation:

The question is

Solve each inequality for the indicated variable

Part 1) we have

$2u+12$

subtract 12 both sides

$2u< 23-12\\2u$

Divide by 2 both sides

$u< 5.5$

The solution is the interval (-∞,5.5)

In a number line the solution is the shaded area at left of u=5.5 (open circle)

The number 5.5 is not included in the solution

Part 2) we have

$0.1d+8 >0$

subtract 8 both sides

$0.1d > -8$

Divide by 0.1 both sides

$d > -80$

The solution is the interval (-80,∞)

In a number line the solution is the shaded area at right of d=-80 (open circle)

The number -80 is not included in the solution

Part 3) we have

$3-4r> 7$

Subtract 3 both sides

$-4r>7-3\\-4r>4$

Divide by -4 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$r < -1$

The solution is the interval (-∞,-1)

In a number line the solution is the shaded area at left of r=-1.1 (open circle)

The number -1.1 is not included in the solution

Part 4) we have

$13< 2z+3$

Subtract 3 both sides

$13-3$

Divide by 2 both sides

$5$

Rewrite

$z>5$

The solution is the interval (5,∞)

In a number line the solution is the shaded area at right of z=5 (open circle)

The number 5 is not included in the solution

Part 5) we have

$6\geq 9-0.15i$

Subtract 9 both sides

$6-9\geq -0.15i\\-3\geq -0.15i$

Divide by -0.15 both sides

Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

$20\leq i$

Rewrite

$i\geq 20$

The solution is the interval [20,∞)

In a number line the solution is the shaded area at right of i=20 (closed circle)

The number 20 is included in the solution

6 0

3 years ago

Find x. Please help! Oh

Reika [66]

X = 8.5 because 8.5 x 2 = 17 and 17 + 1 = 18

4 0

3 years ago

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Jillian is looking up certain cities elevations. She finds that New Orleans is 7 feet below sea level and that Oklahoma City is

vampirchik [111]

Answer:

D) 1000

Step-by-step explanation:

The options of the question are

A) -1000 B) -7 C) 7 D) 1000

we know that

The sea level is the reference value to represent elevation, and it is considered as zero level.

Above sea level is considered positive and below the sea level is considered negative

we have

New Orleans is 7 feet below sea level

so

New Orleans elevation is -7 ft

Oklahoma is 1000 feet above the sea level

so

Oklahoma elevation is +1000 ft

therefore

Oklahoma City's elevation is represented by 1000

4 0

2 years ago