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9514 1404 393

Answer:

  11

Step-by-step explanation:

  4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11

or

  4 × (2 3/4) = 4 × 11/4 = 11

Answer:

The half-life of this radioactive substance is of 8.6 months.

Step-by-step explanation:

Exponential decay of an amount:

The equation that models an amount after t units of time, subject to exponential decay, is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A radioactive substance decays to 30% of its original mass in 15 months.

This means that [tex]A(15) = 0.3A(0)[/tex]. We use this to find 1 - r.

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.3A(0) = A(0)(1-r)^{15}[/tex]

[tex](1-r)^{15} = 0.3[/tex]

[tex]\sqrt[15]{(1-r)^{15}} = \sqrt[15]{0.3}[/tex]

[tex]1 - r = (0.3)^{\frac{1}{15}}[/tex]

[tex]1 - r = 0.9229[/tex]

So

[tex]A(t) = A(0)(0.9229)^t[/tex]

Determine the half-life of this radioactive substance to the nearest tenth.

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

[tex]A(t) = A(0)(0.9229)^t[/tex]

[tex]0.5A(0) = A(0)(0.9229)^t[/tex]

[tex](0.9229)^t = 0.5[/tex]

[tex]\log{(0.9229)^t} = \log{0.5}[/tex]

[tex]t\log{0.9229} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.9229}}[/tex]

[tex]t = 8.6[/tex]

The half-life of this radioactive substance is of 8.6 months.

Answer:

2 gallons and 1/2

Step-by-step explanation:

You just have to subtract 1/2 from 3.

3 - 1/2 = 2 1/2

or

3 - .5 = 2.5

And 2 1/2 is how much more he served.

Answer: 5 times more hot chocolate

Step-by-step explanation:

Answer:

78 inches

Step-by-step explanation:

5 hours = 390 inches

1 hour = 390 / 5

1 hour = 78 inches

Therefore the snail travels 78 inches in 1 hour.

Hope this helps!

Answer:

2(3x - (-4)) = 6x + 8

Step-by-step explanation:

2(3x - A) = 6x + 8

6x - 2A = 6x + 8

Equating constant terms on both sides :

-2A = 8

A = -4

Therefore, 2(3x - (-4)) = 6x + 8

Answer:

Step-by-step explanation:

2(3x-(-4))=6x+8

2*3x=6x

2*-(-4)=8

Negative times negative makes positive 4

Answer:

b=69(alternate angle)

b=37(alternate angle)

Answer:

I need a picture to see what it represents.

Answer:

Step-by-step explanation:

12/35

Answer:

6

Step-by-step explanation:

e = number of elephants

9 times as many monkeys as elephants

m = 9e

------------------------

60 animals all together

e + m = 60

e + 9e = 60

Combine like terms

10e = 60

Divide both sides by 10

e = 6

Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.

However, if we knew that the zoo only has monkeys and elephants, then:

E = number of elephants

M = number of monkeys

M=9E

M + E = 60

9E+E= 60

10E = 60

E = 6

There are 6 elephants (and 54 monkeys).

Answer: I asked my teacher, she said it is c

Step-by-step explanation:

Answer:

yes it's c

have a great day

Answer:

The answer is (7,-19)

Step-by-step explanation:

Remember, 18 is x, and -10 is y. The rule says to subtract 11 from 18, which would be 7. For y, you add -9 to -10, which would be -19.

Therefore, your answer should be (7,-19)

Hope this helps!

By applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way.

Given point = (18, -10)

(x, y) --> (x - 11, y - 9)

(18, -10) = (18 - 11, -10 - 9)

New point = (7, -19)

Hence, by applying the rule and image after the translation as an ordered pair with no spaces is the point (7, -19).

Learn more about translation here

https://brainly.com/question/20426179

#SPJ2

9514 1404 393

Answer:

  [tex]\textsf{B.}\ \ 6x-1+\dfrac{-11x+8}{x^2+3}[/tex]

Step-by-step explanation:

See the attachment for the working out of the long division.

Answer:

Champs is 64.8, Footlocker is 64. Footlocker is selling them for cheaper. You would go to Footlocker, as it's .8 off.

Answer:

68%

Step-by-step explanation:

We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.

Answer:

A percentage is out of 100.

85/100

in lowest terms this is

17/20

Hope this helps :)

Step-by-step explanation:

Answer:

0.1771

Step-by-step explanation:

total number of cards in a deck : 52

number of face card per suite : 3

total number of suites : 4 (hearts, clubs, diamonds, spades)

3 * 4 = total number of face cards

12/52 = 0.23 = probability of drawing a face card

remaining card are non face cards

52-12 = 40

40 non face cards

40/52 = 0.77 = probability of drawing a non face card

probability of drawing a face card followed by a non face card

multiply probabilities together to find combined probability

probability of drawing a face card * probability of drawing a non face card

= 0.23 * 0.77

= 0.1771

Answer:

sorry I'm confused boy sorryy

Answer:

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:   5 27  6  46

Corrie is 5 inches taller than Jason who is 4 ft. 9 in

Corrie must be 4 ft. 9 in + 5 in. = 5 ft. 2 in       or convert ft to inches and  add

          [4(12) + 9] + 5 = 62     62/12 = 5 ft. 2 in.

Jennifer is 8 in, shorter than Corrie so Corrie is (5 - 8) inches  (-3) inches taller than Jason or 3 in. shorter than Jason

Jennifer is   4 ft. 9 in - 3 in. = 4 ft. 6 in

Answer:

(x + 5) and (x -1)

Step-by-step explanation:

Given

The attached graph

Required

The [tex]factors[/tex] of the graph

The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis

The first is at:

[tex]x = -5[/tex]

Add 5 to both sides

[tex]x +5= -5+5[/tex]

[tex]x +5= 0[/tex]

This implies that the first factor is: (x + 5)

The second is at:

[tex]x =1[/tex]

Subtract 1 from both sides

[tex]x - 1 = 1 - 1[/tex]

[tex]x - 1 = 0[/tex]

This implies that the other factor is: (x - 1)

Answer:

(-4,2) are solution coordinates

This is the point in which these two lines intersect

Answer:

105.4º

Step-by-step explanation:

supplementary angles total 180º

180 - 74.6 = 105.4º

Answer:

b/3 = c - 6

Step-by-step explanation:

A number b divided by 3 is 6 less than a number c

b/3 = c - 6

Answer:

Step-by-step explanation:

what do u need help with

Answer:

The answer is 18

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The perimeter of the rectangle =18 in

Step-by-step explanation:

Given, Area of rectangle= 14 in

Length(l) of one side = 7 in

We know,

Area = lxb

or, 14 = 7xb

or, b = 2 in

then the perimeter of the rectangle = 2x(l+b)

= 2x(7+2)

= 2x9

=18in

Answer:

1/5

Step-by-step explanation:

y = 12

12 = 1/5 x 60

12= 12

y = 9

9 = 1/5 x 45

9 = 9

and so on and it always results to one fifth

Answer:

48

Step-by-step explanation: 1 foot is 12 inches. Since the feet are going up by ones, you can say 1=12, 2=24 (+12), 3=36(+12), 4=48(+12)

Hope this helps

Answer and Step-by-step explanation:

The answer is 48.

Each value of y is a multiple of 12, so for when there is 4 feet, you multiply 12 by 4 to get 48.

For when it is 1 foot, you multiply 12 by 1 to get 12.

For when it is 2 feet, you multiply 12 by 2 to get 24.

For when it is 3 feet, you multiply 12 by 3 to get 36

For when it is 5 feet, you multiply 12 by 5 to get 60.

If you were to continue, the y-values (aka the inches) will always be a multiple of 12.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:Herely/3fcEdSx's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

15 ÷ 1/3

Step-by-step explanation:

Quotient means division

15 ÷ 1/3

Answer:

15÷1/3

Step-by-step explanation:

Hope this helps!

Have a lovely day!