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3 years ago

15

Robert had $300 in the bank yesterday. Then, Robert bought a sofa for $500, but didn't realize that he overdrew from his bank. H

is account balance was negative now and he was in debt! What is the absolute value of his new account balance?

1 answer:

strojnjashka [21]3 years ago

3 0

Answer:-200

Step-by-step explanation:

300-500=-200

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Zamir needs to determine the height of the building

Svetach [21]

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = $\frac{CD}{CE}$

CD = CE × $\frac{1}{2}$

CD = $\frac{29}{2}$

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

= 115.4 ft

6 0

3 years ago

Help plz will mark Brainly

irina1246 [14]

Answer:

126 inches

Step-by-step explanation:

If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.

420 / 40 = 10.5

So the drawing will be 10.5 feet tall.

To convert 10.5 feet to inches, multiply it by 12.

10.5 * 12 = 126 inches

3 0

2 years ago

Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour

UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

$C(t) = C(0)e^{rt}$

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So $C(0) = 110$

Husband

Half life of 4 hours. So

$C(4) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{4r}$

$e^{4r} = 0.5$

Applying ln to both sides

$\ln{e^{4r}} = \ln{0.5}$

$4r = \ln{0.5}$

$r = \frac{\ln{0.5}}{4}$

$r = -0.1733$

So for the husband

$C(t) = 110e^{-0.1733t}$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.1733t}$

$C(11) = 110e^{-0.1733*11} = 16.35$

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

$C(10) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{10}$

$e^{10r} = 0.5$

Applying ln to both sides

$\ln{e^{10r}} = \ln{0.5}$

$10r = \ln{0.5}$

$r = \frac{\ln{0.5}}{10}$

$r = -0.0693$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.0693t}$

$C(11) = 110e^{-0.0693*11} = 51.33$

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

7 0

3 years ago

a baby weighs 8 pounds 10 ounces.if her weight doubles in 6 months, how much will she weigh in 6 months?

natta225 [31]

I think that the baby would weight 18 pounds if her weight doubles in six months

8 0

3 years ago

If quadrilateral 1 is reflected across the x-axis and translated 8 units down to form quadrilateral 2, which statement is true?

grigory [225]

Answer:

(A) Quadrilateral 1 is congruent to quadrilateral 2 because the transformations are rigid.

Step-by-step explanation:

This is because since it's only being reflected across the y-axis and translated 8 units down, it's still an isometric.

Isometry or rigid transformation is the opposite of a non-rigid transformation and occurs during translations, reflections and rotations. Non-rigid transformations occur in dilations.

Isometry basically keeps all measure angles and distances of the polygon the same before and after a transformation.

5 0

3 years ago