In ΔRST, r = 530 cm, s = 530 cm and t=950 cm. Find the measure of ∠T to the nearest 10th of a degree.

Find the value of x in this equation. 25(4x − 3) − 2x = 45 − x

Charra [1.4K]

Answer:

x=40/33

Step-by-step explanation:

Let's solve your equation step-by-step.

25(4x−3)−2x=45−x

Step 1: Simplify both sides of the equation.

25(4x−3)−2x=45−x

(25)(4x)+(25)(−3)+−2x=45+−x(Distribute)

100x+−75+−2x=45+−x

(100x+−2x)+(−75)=−x+45(Combine Like Terms)

98x+−75=−x+45

98x−75=−x+45

Step 2: Add x to both sides.

98x−75+x=−x+45+x

99x−75=45

Step 3: Add 75 to both sides.

99x−75+75=45+75

99x=120

Step 4: Divide both sides by 99.

99x

99

=

120

99

x=

40

33

Answer:

x=40/33

7 0

3 years ago

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Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of deca

Hitman42 [59]

Answer:

The half-life of the radioactive substance is 135.9 hours.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at time t

This means that the amount of the substance can be modeled by the following differential equation:

$\frac{dQ}{dt} = -rt$

Which has the following solution:

$Q(t) = Q(0)e^{-rt}$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.

After 6 hours the mass had decreased by 3%.

This means that $Q(6) = (1-0.03)Q(0) = 0.97Q(0)$ . We use this to find r.

$Q(t) = Q(0)e^{-rt}$

$0.97Q(0) = Q(0)e^{-6r}$

$e^{-6r} = 0.97$

$\ln{e^{-6r}} = \ln{0.97}$

$-6r = \ln{0.97}$

$r = -\frac{\ln{0.97}}{6}$

$r = 0.0051$

So

$Q(t) = Q(0)e^{-0.0051t}$

Determine the half-life of the radioactive substance.

This is t for which Q(t) = 0.5Q(0). So

$Q(t) = Q(0)e^{-0.0051t}$

$0.5Q(0) = Q(0)e^{-0.0051t}$

$e^{-0.0051t} = 0.5$

$\ln{e^{-0.0051t}} = \ln{0.5}$

$-0.0051t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.0051}$

$t = 135.9$

The half-life of the radioactive substance is 135.9 hours.

6 0

3 years ago

First-person to answer correctly with an explanation gets Brainliest

zzz [600]

Answer:

it has to be a or d

Step-by-step explanation:

they have 4000 in 1996 but we want 1991.so we get 15 percent of least time but i belive its d

7 0

3 years ago

HELP ME PLS<br> Write the ratio<br> 3/8 with a numerator of 9.

Anna35 [415]

Answer:

24

Step-by-step explanation:

3 9

8

9 times 8

divided by 3 = denominator

9x8÷3=24

7 0

3 years ago

Read 2 more answers

$4,000 principal earning 6% interest after 3 years Simple Interest

Tamiku [17]

Answer:

$4720

Step-by-step explanation:

Simple Interest

A=P(1+in)

A- Accumulated Amount

P- Principal Amount

i- Interest (÷100)

n- Number Of Years

A=P(1+in)

A=4000(1+0.06×3)

A=4000(1.18)

.°.A=$4720

8 0

3 years ago