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IrinaVladis [17]
3 years ago
10

PLEASE HELP ASAP Evaluate bd/a +c if a=−2 , b=3 , c=−12 , and d=−4 .

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
3 0

Answer:

\frac{bd}{(a + c)}  =  \frac{3 \times ( - 4)}{ (- 2) + ( - 12)}  =  \frac{( - 12)}{( - 14)}  =  \frac{6}{7} \\

<h3>6/7 is the right answer.</h3>
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What is the constant term of the quotient when 2x^3-3x^2 + 4x-2 is divided by x^2-x+2?
AlladinOne [14]

Answer:

  -1

Step-by-step explanation:

See the attachment for the polynomial long division. The constant in the quotient is -1.

_____

Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.

That could be a first guess in a "guess and check" solution approach.

<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).

<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2

Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.

6 0
3 years ago
Kayla’s dollhouse has 15.15 square feet downstairs and 6.45 square feet upstairs. What is the estimated total area if you round
Hitman42 [59]

  • The area of Kayla's dollhouse upstairs = 15.15 square feet

  • The area of Kayla's dollhouse downstairs = 6.45 square feet

  • To find the estimated Total area of Kayla's dollhouse, we would apply the Addition Operation

  • The estimated total area is calculated using the formula :

Area of the dollhouse upstairs + Area of the dollhouse downstairs

Rounding to the decimals to the nearest tenth

  • The area of Kayla's dollhouse upstairs to the nearest tenth = 15.2 square feet

  • The area of Kayla's dollhouse downstairs to the nearest tenth = 6.5 square feet

15.2 square feet + 6.5 square feet = 21.7 square feet

The estimated total area of Kayla's dollhouse is  21.7 square feet

To learn more, visit the link below:

brainly.com/question/11118181

8 0
3 years ago
Amy is scuba diving. She starts at – 15.5 m relative to the ocean surface. She swims
solniwko [45]

Answer:

-9.85

Step-by-step explanation:

-15.5 - 4.2 = -19.7

Negatives work like positives

19.7 / 2 = 9.85

Turn that into a negative

-9.85

3 0
2 years ago
Whats three billion plus five trillion lol
Ira Lisetskai [31]

Answer:

5,003,000,000,000

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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
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