Estimate the answer to
(5.9 x 10^4) x (9.8 x 10^5)
Give your answer in standard form.​

Answer:

Step-by-step explanation:

You need to find the model for this situation using the points given. If you are given 13 mg immediately, the coordinate point for that is (0, 13), where the x coordinate is the time in minutes and the y coordinate is the amount of dye in mg.

If after 12 minutes, 4.75 mg remain, the coordinate point for that is (12, 4.75). Just so you know, the time unit always goes in for x, never for y.

Now that we have these coordinates we are going to use them as a system and find the model. Begin with the point (0, 13) in

[tex]A=a(b)^t[/tex] where A is the amount left in the body, a is the initial amount injected, b is the rate at which it decays, and t is the time in minutes. Plug in the first set of coordinates:

[tex]13=a(b)^0[/tex] and since anything raised to the power of 0 is equal to 1, we have

13 = a. Now we can use that and write another equation with the other set of coordinates to solve for b:

[tex]4.75=13(b)^{12}[/tex] and divide both sides by 13 (don't round anything yet) to get

.3653846154 = b¹². Now take the 12th root of both sides (you need a scientific calculator for this) to get that

b = .9195228407  Yikes.

Now for the model, using the fact that a = 13 and b = .9195228407:

[tex]A=13(.9195228407)^t[/tex]  

We are told that the amount that we are allowed to leave with still remaining in our system cannot be more than 2 mg, so we sub in a 2 for A:

[tex]2=13(.9195228407)^t[/tex] and begin by dividing away 13 to get

[tex].1538461538=.9195228407^t[/tex]  Take the natural log of both sides, which allows us to bring the t out front:

ln(.1538461538) = t ln(.9195228407) and finally divide by ln(.9195228407) to get

t = 22.3 minutes

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

Answer:

i dont know

Step-by-step explanation:

The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).

The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.

Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.

Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.

Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].

Learn more about probability notation here:

https://brainly.com/question/22159331

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

Answer:

e. is incorrect

sin (x)= f/e

Answer:

-70

Step-by-step explanation:

keep adding -4 until you reach the 18th term for example

-2

-6

-10

-14

-18

-22

-26

-30

-34

-38

-42

-46

-50

-54

-58

-62

-66

-70

Answer:

3:15 hours

Step-by-step explanation:

i don't know I just took the test

Answer:

4.75 or 4 3/4

Step-by-step explanation:

rate = distance/time

Multiply both sides by time:

time * rate = distance

Divide both sides by rate:

time = distance/rate

We are given:

distance = 76 km

rate = 16 km/h

time = ?

time = distance/rate

time = 76 km/(16 km/h)

time = 4.75 h = 4 3/4 h

Answer:

x=2

Step-by-step explanation:

We can use the Pythagorean theorem since this makes a right triangle

a^2+b^2 = c^2

The radius is 1.5

1.5^2 + x^2 = (1+1.5)^2

1.5^2 +x^2 = 2.5^2

2.25+x^2=6.25

Subtract 2.25 from each side

x^2 = 4

Taking the square root of each side

x= 2

Answer:A

Step-by-step explanation:Took quiz

Answer:

1287.48 km

Step-by-step explanation:

80 miles = 128.748 km

Putting in 'x' for distance

x = 80*10  

x = 800 miles

or

x = 1287.48 km

Answer:

(1, -13)

Brainliest, please!

Step-by-step explanation:

To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.

- -4 / 2(2) = 4 / 4 = 1

Vertex = (1, y)

Next, we plug 1 back into the parabola equation for x to solve for y.

y = -2(1)^2 - 4(1) -5

y = -2^2 - 4 - 5

y = -4 - 4 - 5

y = -8 - 5

y = - 13

Vertex = (1, -13)

numerator = top part of the fraction

denominator = bottom part of the fraction

* means multiply

a.

you can only add the numerator when the denominator is the same

cant add the denominator

denominator has to be the same

1/5 = 4/20

4/20 + 7/20 = 11/20

b.

1 7/8 = 15/8

3/4 ÷ 15/8 =

3/4 * 8/15 =

24/60 = divide both top and bottom by 12 =

2/5

Step-by-step explanation:

a)1/5+ 7/20

1.find the CM of both denominators

2.multiply both the denominator and the numerator using the CM

=(1/5)×20 +(7/20)

=20/100 +35/100

since you multiply

3.Now add both numerators ( don't add the denominators)

=the answer is 55/100

Answer:

a)

Step-by-step explanation:

Look at the attachment

The line bisects the cord which we have to find

Its a right angle triangle

[tex]\boxed{\sf P^2=H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]

[tex]\\ \Large\sf\longmapsto P=8cm[/tex]

Distance of the chord from centre is 8cm.

Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

Answer:

Could you Write the question more clearly?

Step-by-step explanation:

from 0 to 20

neither the seconds nor the height are likely to be negative.

Numbers can be estimated by approximating them. So, we need to approximate [tex]\sqrt{71}[/tex] to the nearest integer to get its estimate of the radius in the nearest foot.

The radius to the nearest foot is 8ft

Given that

[tex]r = \sqrt{71}[/tex]

To calculate the radius, we simply determine the square root of 71

[tex]r = 8.42614977318[/tex]

Approximate to the nearest integer

[tex]r = 8[/tex]

Hence, the radius of the circle to the nearest foot is 8ft.

Read more about approximation at:

https://brainly.com/question/9933194

Answer:

The correct answer is

D) e and l

Answer:

1) x= 7 and y =2

Step-by-step explanation:

mark me as brainliest please

Answer:

x =7

y =2

eqn 1 - eqn2

5x-2x=3x

3y-3y=0

41-20=21

3x=21

x=7

in eqn 1;

5×7)+3y=41

35+3y=41

3y=6

y=2

I'm sorry but there's not enough info

Step-by-step explanation:

Answer:

The triangle with vertices A (2 , 0) , B (3 , 2) , C (5 , 1) is isosceles right Δ

The triangle with vertices A (-3 , 1) , B (-3 , 4) , C (-1 , 1) is right Δ

The triangle with vertices A (-5 , 2) , B (-4 , 4) , C (-2 , 2) is acute scalene Δ

The triangle with vertices A (-4 , 2) , B (-2 , 4) , C (-1 , 4) is obtuse scalene Δ

Answer:

D

Step-by-step explanation:

[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

Step-by-step explanation:

150=45

150 -25=x

:150=45

125=x

cross multiply

150x/150=5625/150

x=38 days

Answer:

4/3 inches, or 1.33333 inches

Step-by-step explanation:

In terms of the volume of a cube, its side length is the cube root of it. Therefore, for a cube with a volume of 512/216 cubic inches, its side length is equal to ∛(512/216) = ∛(512)/∛(216) = 8/6 = 4/3 inches*

* we know that 8/6 = 4/3 because we can multiply both the numerator and denominator by 1/2 to get this result. If we multiply/divide the numerator or denominator by the same values, the fraction is still the same

Answer:

a = m/c

~~~~~~~~~~~~~~~~~~~~~~~

m=ca

divide both sides by c

you get a = m/c

Step-by-step explanation:

Answer:

a = m/c

Step-by-step explanation:

m = ca

divide both sides by c

m/c = ca/c

m/c = a

:.a = m/c

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

To find the value of sin 45° we divide the opposite side length with hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex]  we then multiply this by [tex]\sqrt{2}[/tex] because denominator cannot be irrational

[tex]\frac{1}{\sqrt{2} }[/tex]  x [tex]\sqrt{2}[/tex]  = [tex]\frac{\sqrt{2} }{2}[/tex] gg

Answer:

no A

Step-by-step explanation:

sqrt13 is the ans

hope it helps

Given:

The temperature on a mountain peak was 7°F at 6:00 p.m.

By 8:00 p.m., the temperature had dropped to 0°F.

To find:

The temperature at 11:00 p.m. if the temperature continued to drop at about the same rate.

Solution:

Time between 6:00 p.m. to 8:00 p.m. is 2 hours.

Change in temperature in 2 hours is -7°F.

Change in temperature in 1 hours is [tex]-\dfrac{7}{2}^\circ[/tex]F.

Time between 8:00 p.m. to 11:00 p.m. is 3 hours.

Change in temperature in 3 hours is [tex]3\times \dfrac{-7}{2}^\circ[/tex]F, i.e., [tex]-\dfrac{21}{2}^\circ[/tex]F.

Now, the temperature at 11:00 p.m is:

[tex]0-\dfrac{21}{2}=-10.5[/tex]

Therefore, the temperature at 11:00 p.m. is -10.5°F.

Note: All options are incorrect.

Answer:

Probably the first three answers

Step-by-step explanation:

The rest are

4) 3×5=15 (which is not 8)

5) 6×2=12 (≠8)

So it's just the first three