Josh bought 6 pounds of sugar for $4. How many pounds of sugar did he get per dollar?

Answer:

Step-by-step explanation:

Given the population of a city is modeled by the exponential function

ƒ (x​) = 689,254 · 2.4e^0.014x​, where x is the number of years after 2000

In order to determine the year that the city's population will exceed one million, we will substitute f(x) = 1,000,000 and find x first as shown:

1,000,000 = 689,254  2.4e^0.014x​,

1000000/689,254  = 2.4e^0.014x​,

1.4508 = 2.4e^0.014x​,

1.4508 /2.4 = e^0.014x​,

0.6045 = e^0.014x​,

Apply ln to both sides

ln 0.6045 = lne^0.014x​,

-0.5033 = 0.014x

x = -35.95

Since x cannot be negative, lets say x ≈ 36years

This means that the population will exceed one million after about 36 years. The year it will exceed this amount will be 2000+36 = 2036

Note that the exponential equation used was not correctly written but the same calculation can be employed for any exponential functions you might have.

Answer: each movie costs 7$

Step-by-step explanation: 41-6=35 and you divide that by 5 which is 7

Answer:

each movie cost $7

Step-by-step explanation:

41 - 6 = 35

35 / 5 = 7

Answer:

20.56 cm

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

-(-13) = 13

Answer:

13

Step-by-step explanation:

a - times - is a + so there you go I would use photo math if I was you

Answer:

They are the same slope

Step-by-step explanation:

When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]

Answer: x=68

Step-by-step explanation:

A. It’s asking what the last test must have to be (x) for all five tests to average out to an 80. This can be represent by:

(95+76+77+84+x)/5=80

The first four numbers are the existing test scores and x is the score you need. This is all divided by five so that you can find the average of all of these added together, which will equal 80, because that’s the grade you’re trying to get. Next, just solve for x:

= 95+76+77+84+x=80(5)

= 332+x=400

X=68

B. I got 74 for this one by using the same process as in part a, but I divided the left side by six and multiplied x by two: (95+76+77+84+2x)/6=80

But I’m not completely positive about this answer. A is definitely right though

Answer:

Option C

Step-by-step explanation:

Given expression is [tex]y^{-\frac{4}{3}}[/tex].

Exponent of this expression is [tex](-\frac{4}{3})[/tex].

Option (A)

[tex]-\frac{4}{3}y[/tex]

Since, exponents and coefficients of both the expressions are different.

They are not equivalent.

Option (B)

[tex]-(\sqrt[3]{y})^4=-(y^{\frac{1}{3}})^4[/tex]

            [tex]=-y^{\frac{4}{3}}[/tex]

Here, exponent is with positive notation [tex](+\frac{4}{3})[/tex] while in the original expression it is negative [tex](-\frac{4}{3})[/tex].

Therefore, both the expressions are not equivalent.

Option (C)

[tex]\frac{1}{(\sqrt[3]{y})^4}=(\sqrt[3]{y})^{-4}[/tex]

         [tex]=y^{-\frac{4}{3}}[/tex]

Both the expressions are equivalent.

Option (D)

[tex]-(\sqrt[4]{y})^3=-(y)^{\frac{3}{4}}[/tex]

Exponents of both the expressions are different.

Therefore, not equivalent.

Option (E)

[tex]\frac{1}{(\sqrt[4]{x})^3}=(\sqrt[4]{x})^{-3}[/tex]

         [tex]=y^{-\frac{3}{4}}[/tex]

Exponent of this expression is different from the original expression.

Therefore, not equivalent.

Option (C) will be the correct option.

Answer: de

Step-by-step explanation:

Answer:

hcf, ( 308; 420) = 28 = 2^2 × 7: greatest ( highest ) common factor ( divisor ), calculated.

Answer:

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).

Step-by-step explanation:

Diameter of cylinder = 8 inches

Diameter of cone = 8 inches

Height of cylinder = 9 inches

Height of cone = 18 inches

We need to find the relationship between the volume of this cylinder and this cone.

First we will find volume of the cylinder

The formula used is: [tex]Volume=\pi r^2h[/tex]

We have

Diameter of cylinder = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cylinder = 9 inches

Putting values and finding volume

[tex]Volume=\pi r^2h\\Volume=3.14\times (4)^2 \times 9\\Volume=452.16[/tex]

So, Volume of cylinder = 452.16 inches³

Now, we will find volume of the cone

The formula used is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]

We have

Diameter of cone = 8 inches

Radius = d/2 = 8/2 = 4 inches.

Height of cone = 9 inches

Putting values and finding volume

[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14 \times (4)^2 \times \frac{18}{3}\\Volume=3.14 \times (4)^2 \times 6\\Volume=301.44[/tex]

So, Volume of cone = 301.44 inches³

Now, comparing volume of both cylinder and cone.

Volume of cylinder = 452.16 inches³

Volume of cone = 301.44 inches³

We can say that volume of cylinder (452.16) is greater than volume of cone (301.44).

Answer:

the answer is 0.24317854031 hope this helps have a nice day please give me brainliest:))

Step-by-step explanation:

Answer:

0.24317854031

Step-by-step explanation:

1. Open your browser

3. Search up: square root of 479/90

4. Copy paste answer

5. Need I say more?

Answer:

growth

Step-by-step explanation:

Answer:

I would think D

Step-by-step explanation:

Answer:

4x+2

Step-by-step explanation:

Perimeter = 2(width) + 2(length). So 12x+4 = 2(2x) + 2(length) .

12x+4 = 4x + 2(length) then subtract 4x from both sides to get 8x+4 = 2(length). In order to get length by itself you need to divide both side by 2.

4x+2 = length. Hope this helps!

Answer:

4y = -x + 31

Step-by-step explanation:

Given that one equation in a system of equations is y = 4x - 5 write a second equation to complete the system if the solution to the system is (3,7)

Since the solution of the system is (3, 7), that means the two lines of equations meet or intersect at point X = 3 and Y = 7

Let assume that the two equations are perpendicular to each other. Then, there slope can be expressed as

M1M2 = -1

Where M1 = 4

Find M2

4M2 = -1

M2 = -1 / 4

Using general linear equation

Y = MX + C

Let's find C by substituting Y, X and M2

7 = -1 /4( 3 ) + C

7 = -3/4 + C

C = 7 + 3/4

C = 31/4

Substitute C back into the equation

Y = -1/4X + 31/4

4y = -x + 31

Therefore, the second equation is

4y = -x + 31

Answer:

is it -8r

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-3 - 0)/(2 - 14) = -3/-12 = 3/12= 1/4

[tex] \bold{\underline{Solution}}[/tex]

[tex]{\bold{\underline{\underline{Given}}}}[/tex]

[tex]45÷3+2×8-12+30[/tex]

[tex] {\bold{ \underline{lets \: begin - : }}}[/tex]

Now,

Solve,,

[tex] \small\bold{simpify}[/tex]

[tex]45 \div \: 3 + 2 \times 8 - 12 + 30 \\ \\ = 15 + 16 - 12 + 30 \\ \\ = 15 + 16 - 12 + 30 \\ \\ = 49[/tex]

Division → Multiplication → Addition →Subtraction .

BODMAS stand for

Answer :

Solution :

Using BODMAS rule.

First dividing.

>> 45 ÷ 3 + 2 × 8 - 12 + 30

>> 15 + 2 × 8 - 12 + 30

Now multiplying 2 into 8,

>> 15 + 16 - 12 + 30

Adding 15 and 16,

>> 31 - 12 + 30

Now,

>> 19 + 30

>> 49

180 degrees is equal to a triangle if we add 111 and 32 degrees it will get 143 degrees so we should subtract 143 from 180 degrees it will get 37

Answer:

Step-by-step explanation:

Given formula:

Solving for n:

[tex]S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = \frac{(S+ 360)}{180} [/tex]

where, n =number of sides of polygon

S =sum of the degree measures of the interior angles of the polygon

Answer:

Step 1: Write down the percent divided by 100 like this: 1200% = 1200 / 100. Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As 1200 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Answer:

12/1 or 12

Step-by-step explanation:

Answer:

B. 16p+6

Step-by-step explanation:

Answer:

B . 16p + 6

Step-by-step explanation:

12p + 9 + 4p -3

collect like terms

(12p + 4p) + (9 - 3)

16p + 6

Answer:

me too

Step-by-step explanation:

Answer: i think this question is asking for y=1/3x - 1

We need a picture of the problem

Answer:

Alejandro bought a television set for $900 and paid a sales tax of 8%. How much did he pay for the television set

Step-by-step explanation:

Answer:

98 in.^2

Step-by-step explanation:

The lateral area is the sum of the areas of the 3 rectangular sides.

The triangular sides are the bases.

lateral area = 7.2 in. * 5 in. + 3 in. * 5 in. + 9.4 in. * 5 in.

lateral area = 36 in.^2 + 15 in.^2 + 47 in.^2

lateral area = 98 in.^2

Answer:

-45

Step-by-step explanation:

add 10 to -25, then divide 1/3 to that answer, which is -15. and you get -45

Answer: N=-45

Step-by-step explanation: Solve for n by simplifying both sides of the equation, then isolating the variable.