Multiply. Write the answer in simplest form.
4 2/3 x 9/10

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

I think its A, double check ;)

Step-by-step explanation:

Answer:the answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a linear function (a line), meaning it can be modeled in the form y=mx+b.

Taking two points that lie on the line, say (-1, 2) and (3, -1),

m=(-1-2)/(3-(-1))=-3/4.

So we have y=(-3/4)x+b.

Substituting in the point (-1, 2), we get that 2=(-3/4)(-1)+b

2 = 3/4 + b
b = 5/4

Therefore, y=(-3/4)x + 5/4.

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Cost is 65x + 3500 where x is = 326.

65(326) + 3500

21,190 + 3500 = $24,690 is the cost.

Revenue is 365x where x is 326.

365(326) = $118,990

Now we subtract the two:

118,990 - 24,690 = $94,300

This means that the answer is C) $94,300.

I hope this helps! :)

Answer:

The proportion of all correctly classified violins that are old is equal to the proportion of all new violins that are incorrectly classified.

Step-by-step explanation:

According to the table, we have that the correct option is:

5.)The proportion of all correctly classified violins that are old is equal to the proportion of all new violins that are incorrectly classified.

Statement 1:

15 of 33 new are correctly classified, thus, the proportion is:

\(p_N = \frac{15}{33} = 0.4545\)

18 out of 31 old, thus:

\(p_O = \frac{18}{31} = 0.58\)

Proportions are different, thus, statement 1 is false.

Statement 2:

13 out of 31 old are incorrectly classified, thus:

\(p = \frac{13}{31} = 0.4194\)

Different than 0.4545, thus, statement 2 is false.

Statement 3:

Out of 31 incorrectly classified, 13 are old.

Out of 33 correctly classified, 15 are new.

Different proportions, thus, statement 3 is false.

Statement 4:

Out of the 33 new, 15 are correctly classified and 18 incorrectly, different proportions, thus, statement 4 is false.

Statement 5:

18 out of 33 correctly classified are old.

18 out of 33 new violins are incorrectly classified.

Same proportion, thus, statement 5 is true.

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The equation to show the perimeter of the rectangle is P = 2(2w + 5)

From the question, we have the following parameters that can be used in our computation:

Length = 5 more than the width

Also, we have

Perimeter = 58

This means that

P = 2(w + 5 + w)

P = 2(2w + 5)

In (a), we have

P = 2(2w + 5)

This gives

2(2w + 5) = 58

So, we have

2w + 5 = 29

2w = 24

w = 12

Next, we have

l = 12 + 5

l = 17

Lastly, we have

Area = 17 * 12

Area = 204

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Answer:

1/10​b

Step-by-step explanation:

subtract 1/2 and 2/5 and you get then answer just add the b at the end of your answer.

Hope this helps! :)

Answer:

No solution

Step-by-step explanation:

(I am going to use substitution)

2x−10y=−2

y=x/5−1

(Substitute the y into the other problem)

2x - 10 (x/5 -1) = -2

2x - 2x + 10 = -2

10 = -2

No solution

Hope this helps :)

The volume of the prisms are:

1. 432 yd³

2. 36in³

3. 252 m³

4. 240 ft³

5. 576 mm³

6. 144 cm³

7. 343 m³

8. 120 yd³

9. 150 in³

The formula for calculating the volume of a rectangular prism is expressed as;

V = lwh

such that;

Now, substitute the value for each of the prisms, we have;

1. Volume = 6 × 6 ×12

Multiply

Volume = 432 yd³

2. Volume = 2 ×9 × 2

Multiply

Volume = 36in³

3. Volume = 9 × 4 × 7

Multiply

Volume = 252 m³

4. Volume = 10 × 8 × 3

Multiply

Volume = 240 ft³

5. Volume = 4 × 12 × 12

Multiply the values

Volume = 576 mm³

6. Volume = 6 × 8 × 3

Volume = 144 cm³

7. Volume = 7 × 7 ×7

Volume = 343 m³

8. Volume = 8 × 3 × 5

Volume = 120 yd³

9. Volume = 5 × 6 × 5

Volume = 150 in³

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Answer:

Your correct answer is 31/50 + -4/25 i

Step-by-step explanation:

5+4i/6+8i = 31/50 + -4/25 i

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer:

Trapezoid: \(31.59cm^{2}\)

Square: \(96.04 miles^2\)

Circle: \(314.15926535898 miles^2\)

Rectangle: \(44.7miles^2\)

Step-by-step explanation:

I labeled one of the pictures wrong, but if you look at the numbers, you should be able to tell them apart ;)

I hope I helped, and I always appreciate brainliest!!! :)

Answer:

x = -7/13 and x = 7/6

Step-by-step explanation:

Using the zero factor property, set each factor equal to zero, and solve for x:

13x + 7 = 0

13x = -7

x = -7/13

Solve the other factor:

6x - 7 = 0

6x = 7

x = 7/6

So, the solutions are x = -7/13 and x = 7/6

Answer:

a =5/9 b=1/3 c=1/9 d=8/9

Step-by-step explanation:

there are total 9 numbers

in a

there are 5 odd numbers

in b

there are 3 multiplier of 3

in c

there is only one 5

in d

there are 8 numbers except 7

a) 5/9 b) 1/3 c) 1/9 d) 8/9

Step-by-step explanation:

a) odd numbers between 1 to 9 are 1,3,5,7,9. so there are 5 odd numbers.

total balls are 9

=> probability is 5/9

b) multiples of 3 = 3, 6,9 there are 3 numbers.

=> probability is = 3/9 = 1/3

c) 5. only one 5 is there between 1 to 9 numbers.

=> probability is 1/9

d) not a 7.

removing 7. there will 8 numbers.

=> probability is 8/9

Answer: It will take 5 days to reach his goal

Step-by-step explanation:

How I got 5 days was if you do

1.75 x 45 = 78.75

SO you add 30.oo his mom gave his and 78.75

keep add 78.75 intill

you may go over bugget.

I went over my work on a caculator

and I got 423.75

Let me know if you get something different or I did something wrong.

Answer:

the answer is lletter D MARK ME IF CORRECT

Step-by-step explanation;

Answer:

14

Step-by-step explanation:

14+28=42, 28/14=2

Answer: your originally supposed to use arrows to show end behaviors  

graph one down /up

graph two down/ down

graph three up/ down

Step-by-step explanation:

pretty sure this is the answer if your asking for the end behaviors

Parameterize the square (call it S) by

\(\mathbf s(u,v)=2u\,\mathbf x+2v\,\mathbf z\)

with both \(u\in[0,1]\) and \(v\in[0,1]\).

Take the normal vector pointing in the positive y direction to be

\(\dfrac{\partial\mathbf s}{\partial v}\times\dfrac{\partial\mathbf s}{\partial u}=4\,\mathbf y\)

Then the current is

\(\displaystyle\iint_S(y^2+5)\,\mathbf y\cdot4\,\mathbf y\,\mathrm dA=20\int_0^1\int_0^1\mathrm dA=\boxed{20\,\mathrm A}\)

where \(y^2+5\) reduces to just 5 because \(y=0\) for all points in S.

Answer:

Slope, \(m=\dfrac{1}{5}\)

Step-by-step explanation:

It is given that,

A road rises 20 feet for every 100 feet in horizontal distance.

Rise (vertical distance) = 20 feet

Run (horizontal distance) = 100 feet

Slope of the road is given by the ratio of rise to the run. It can be calculated as :

\(m=\dfrac{20}{100}\\\\=\dfrac{1}{5}\)

So, the slope is \(\dfrac{1}{5}\).

a) Composite function fog(x) = 3/(x+3)

b) Domain of fog(x) in interval notation = (-∞,-3)∪(-3,∞)

A function is a process or a relation that associates each element 'a' of a set A , to a single element 'b' of another set B.

Given functions,

f(x) = x/(x+2)

g(x) = 6/x

a) (fog)(x) = f(g(x))

= f(6/x)

= (6/x)/((6/x) + 2)

= 6/x((6/x) + 2)

= 6/(6 + 2x)

= 3/(x+3)

fog(x) = 3/(x+3)

b) Domain of (fog)(x)

y = 3/(x+3)

For domain y = 0

⇒ x+3  = 0

⇒ x  = -3

But the function gets undefined for x = -3

So, Domain x ≠ -3

⇒ x > -3 or x < -3

Domain set Interval Notation : (-∞,-3)∪(-3,∞)

Hence, value of composite function

fog(x) = 3/(x + 3)

Domain of fog(x) : (-∞,-3)∪(-3,∞)

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There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

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A time of 12 hours is taken for Jennifer and Janice to work 120 masks together.

Dimensionally speaking, production function (\(p\)), in masks, is the product of production rate (\(r\)), in masks per hour, and production time (\(t\)), in hours. According to the statement, the production total (\(T\)) is the sum of the production functions of Jennifer and Janice, that is:

\(T = p_{1} + p_{2}\)

\(T = (r_{1} + r_{2})\cdot t\) (1)

Where:

Now we determine how many time they need to work 120 masks together: (\(T = 120\), \(r_{1} = 6\), \(r_{2} = 4\))

\(t = \frac{T}{r_{1}+r_{2}}\)

\(t = 12\,h\)

A time of 12 hours is taken for Jennifer and Janice to work 120 masks together. \(\blacksquare\)

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Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

Answer:

5.28+2.4=7.68

is right answer

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Answer:

V=3053.6

Step-by-step explanation:

Answer: y - 9

Step-by-step explanation:

Because "y" will be John's age in 5 years, we subtract 5 to get to his age now.

y-5

Four years ago will be just subtracting 4.

y-9

4 years ago John age as per the given condition is  (y - 9) years old .

Let's assume John's current age is J years.

According to the information ,

In 5 years, John's age will be y years.

So, in 5 years, John's age will be J + 5 = y.

Now, find John's age 4 years ago. This means we need to subtract 4 years from John's current age.

John's age 4 years ago = J - 4.

Since John's age in 5 years will be y, we can rewrite the first equation as:

J + 5 = y

Now, use this information to find John's age 4 years ago:

John's age 4 years ago

= J - 4

= (y - 5) - 4

= y - 9.

Therefore, John's age 4 years ago was (y - 9) years old.

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