The humpback whales traveled 2240 miles in 28 days. The gray whales traveled 2368 miles in 32 days. If the humpback whales had traveled at the same rate for 32 days how many more miles would they have to travel

Answer:

4 hours

Step-by-step explanation:

The exponential growth equation is given by

y = a (b)^(x)

where a is the initial value, b is the growth rate and x is the time from the initial value

We know the initial value is 300 and the growth rate is 2

y = 300 (2)^(x)

We want to know the time when we have 4800 bacteria

4800=300 *2^(x)

Divide each side by 300

4800/300 = 300/300 * 2^(x)

16 = 2^(x)

Rewrite 16 as a power of 2

2^4 = 2^(x)

x=4

It will take 4 hours

It is:

Any number that is less than 3.5 is a solution

There are infinite number of solutions.

The  graph with a white colored dot

I hope I get brainly on both questions :)

(x+2)(x+2)

x^2+2x+2x+4

x^2+4x+4

Answer : C ( x^2+4x+4)

Answer:

C. x2+4x+4

Step-by-step explanation:

If you multiply it out:

(x)(x) + 2x + 2x + 2(2)

x2 + 4x + 4

Answer:

CP/P

Step-by-step explanation:

E.g Q.If 10 ounces of spicy popcorn is $2.50, how much is 20 ounces?

     A.10 ounces=$2.50    

        20 ounces=?20x2.50/10=$5  

So, the cost of 20 ounces of spicy popcorn is $5

Answers:

c=0.25p

p=4c

c=.25p

c=1/4p

Answer:

12:07 pm

Step-by-step explanation:

The question is on relative speed

Calculate the distance covered by truck after 3hours and 10 minutes

Given; speed of truck= 40mph

Time the truck took to travel before the car started to drive from point A= 3h 10 minutes

Change hours to minutes= (60×3) + 10 = 190 minutes

Formulae for speed, S=d/t where S is speed of truck, d is distance covered and t is time

if S=d/t then distance d=S×t

d= 40×190/60 =380/3 =126.67 miles

Finding the time the car catch up with the truck

t=d/S where d=126.67 miles and speed of car = 60mph

t= 126.67/60 = 2.11 hours

Change hours to minutes

1 hr=60minutes

2.11 hrs= 2.11×60=126.67 minutes⇒2hrs and 6.67 minutes

t⇒2 hrs 7minutes

Add to the departure  time

10.00 + 2: 07 = 12:07 pm

For this case we have that by definition, the volume of a rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

According to the data we have:

[tex]length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}[/tex]

[tex]width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}[/tex]

Then:

[tex]A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}[/tex]

Thus, the volume is:

[tex]V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875[/tex]

Answer:

[tex]76.875 \ ft ^ 3[/tex]

Answer:

A = 15π in²

Step-by-step explanation:

If two of the central angles are 80° and 130°, totalling 210°, then the third central angle must be (360° - 210°), or 150°.

Let's calculate the area of the entire pizza, whose diameter is 12 in and whose radius is therefore 6 in:

A = πr²  →  A = π(6 in)²  =  36π in².

The area of the largest slice, the one with central angle 150°, is

(150/360) times the total area of the pizza:

A = (150/360)(36π) in², or 15π in²

Answer:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

Step-by-step explanation:

Let's perform the indicated synthetic division:

3  )   -2   15   -22   -15

                6    63   123

   -----------------------------

        -2    21    41     108

We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

ANSWER

D. [tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

EXPLANATION

We perform the synthetic division to get:

-2 15 -22 -15

3| -6 27 15

-2 9 5 0

From the synthetic division problem;

The coefficient of the quotient are the first three numbers.

-2, 9, 5

The last number 0 is the remainder

Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.

Therefore the quotient is:

[tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

z=4. If z varies inversely as w, and z=5 when w=8, then when w=10 the value of z is 4.

This exercise is an example of  reverse proportionality, Two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=5 when w=8

z.w=k -------> 5.8=k -------> k=40

So, let's find z when w = 10. With k = 40

z.w=K, clear z from the equation

z=k/w -------> z=40/10 -----> z=4

Final answer:

To find z when w = 10 in an inverse variation equation, we can use the equation z = k/w. By substituting the given values and solving for the constant of variation, we find that when w = 10, z = 4.

Explanation:

To find the value of z when w is 10, we need to use the inverse variation equation. Inverse variation is represented by the equation z = k/w, where k is the constant of variation.

Given that z = 5 when w = 8, we can substitute these values into the equation to find k. 5 = k/8. Solving for k, we get k = 40.

Now, we can substitute the value of k and w = 10 into the equation z = k/w. z = 40/10 = 4. Therefore, when w = 10, z = 4.

Answer:

49.

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The perimeter of a rectangle = 2l + 2w ( l is length and w is width )

given w = 63, then

2l + (2 × 63) = 324

2l + 126 = 324 ( subtract 126 from both sides )

2l = 198 ( divide both sides by 2 )

l = 99 m ← length of garden

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

The area of a rectangle = lw ( l is length and w is width )

given l = 94, then

94w = 5828 ( divide both sides by 94 )

w = 62 cm ← width of window

Answer:

The first term is 28.

Step-by-step explanation:

Given: 8th term of Geometric sequence , [tex]a_8=-3584[/tex]

and 3rd term of Geometric Sequence, [tex]a_3=112[/tex]

We have to find First term of given geometric Sequence.

Let a be the first term of geometric sequence.

We know that,

[tex]a_n=ar^{n-1}[/tex]

So,

[tex]\frac{a_8}{a_3}=\frac{ar^{8-1}}{ar^{3-1}}=\frac{-3584}{112}[/tex]

[tex]\frac{r^{7}}{r^{2}}=-32[/tex]

[tex]r^5=-32[/tex]

[tex]r=-2[/tex]

So, [tex]a_3=112[/tex]

[tex]a\times(-2)^{2}=112[/tex]

[tex]a=\frac{112}{4}=28[/tex]

Therefore, The first term is 28.

Answer:

CD = 3

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

CB × CA = CD × CE , that is

4 × (4 + 6.5) = CD × 14

4 × 10.5 = 14CD

42 = 14CD ( divide both sides by 14 )

CD = 3

Answer:

Option D: $1,615.38

Step-by-step explanation:

we know that

1 year=52 weeks

so

Calculate the bi-weekly salary

Divide the total salary by 26 weeks

$42,000/26=$1,615.38

Answer:

[tex]\$4,081.54[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ P=\$2,250\\ r=0.06\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$2,250(1+\frac{0.06}{4})^{4*10}=\$4,081.54[/tex]  

Answer:

Step-by-step explanation:

Definition of absolute value:

|a| = a if a ≥ 0

|a| = -a if a < 0

Examples:

|2| = 2

|-2| = -(-2) = 2

|0.45| = 0.45

|-0.45| = -(-0.45) = 0.45

|1000| = 1000

|-1000| = 1000

Therefore

|1.7| = 1.7

Answer:

B

Step-by-step explanation:

15*21=315

12*15=180

180/2=90

315+90=405

Answer

You need to simplify the function first until the exponent turns into a plain x. Step 1 Leave 1/3 alone that is the a value, initial value. You are looking for the base

Step 2 Deal with the parenthesis. Factor 24 and you will get 2 and the cube of 3. 

Step 3 Separate the exponent (2) (x)

Step 4 Now square each term inside the parenthesis

2 squared and cube of 3 square  the 2^2 will be 4, the other expression means  cube of 3 times cube of 3 and that's cube of 9

Step 5 Your base should be (4 cube of 9)

f'(x) = C, indicating a constant rate of increase.

The function given is f(x) = (1/3) * ((³√24)²) * x.

To find the rate of increase (or the derivative of this function), we need to rewrite the function in a simpler form. Firstly, simplify the constant:

Let's break it down:

Next, we multiply this by 1/3:

Now the function becomes:

This is a linear function where C is a constant coefficient. Therefore, the rate of increase (or the derivative) of f(x) with respect to x is just the constant C.

We then find the derivative:

As there are no x terms left, the rate of increase is constant and equal to C, which is (1/3)*24²/³.

Answer:

the answer is a

Step-by-step explanation:

5*2 is 10

10*2 is 20

20*2 is 40

5,10,20,40

Answer:

(-4, -12) (1, -2) (2, -18)

Step-by-step explanation:

We have a grade 3 polymial function.

We know that the function has a minimum at the point

(-3, -18).

If this is the minimum of the function then this means that when  [tex]x <-3[/tex]  the function is decreasing and when  [tex]x> -3[/tex]  the function is growing.

Look in the table for ordered pairs with values of x less than -3.

The only point is (-4, -12).

Then the function has a maximum in  ([tex]\frac{1}{3}[/tex], [tex]\frac{14}{27}[/tex])

This means that when  [tex]x> \frac{1}{3}[/tex]  the function is decreasing and when  [tex]x< \frac{1}{3}[/tex]  the function is growing.

Search the table for ordered pairs with values of x greater than [tex]\frac{1}{3}[/tex]

We have

(1, -2) (2, -18)

Finally the ordered pairs in which the function decreases are:

(-4, -12) (1, -2) (2, -18)

Observe the attached image.

[tex]\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180[/tex]

Answer: 180 minutes

Step-by-step explanation:

Cross multiply

90*60 = 5400

5400/30 = 180

Answer:

[tex]\large\boxed{SA=397.5\ in^2}[/tex]

Step-by-step explanation:

The formyla of an area of a triangle:

[tex]A=\dfrac{bh}{2}[/tex]

b - base

h - height

Area of a base:

[tex]B=\dfrac{(15)(13)}{2}=97.5\ in^2[/tex]

Area of one triangle of lateral area:

[tex]L=\dfrac{(15)(10)}{2}=75\ in^2[/tex]

The Surface Area:

[tex]SA=B+4L\to SA=97.5+4(75)=397.5\ in^2[/tex]

Answer:

[tex]\large\boxed{x=-3\ and\ y=-11\to(-3,\ -11)}[/tex]

Step-by-step explanation:

[tex]\underline{+\left\{\begin{array}{ccc}-6x+y=7\\3x-y=2\end{array}\right}\qquad\text{add both sides of the equations}\\\\.\qquad-3x=9\qquad\text{divide both sides by (-3)}\\.\qquad\boxed{x=-3}\\\\\text{Put the value of x to the first equation:}\\\\-6(-3)+y=7\\18+y=7\qquad\text{subtract 18 from both sides}\\\boxed{y=-11}[/tex]

The answer is phoenix is located at (-7,-10) it is written like this because you always have the x coordinate then the y coordinate

Answer:

From the Information provided by the graph shown above, i can conclude that Phoenix's location on the graph is (-7,-10)

Answer:

Step-by-step explanation:

Answer: Option B is correct.(1, -5) lies on the graph

Answer:

(1,-5)

Step-by-step explanation:

Meagan pay 4.60

Step-by-step explanation:

1kg------5.80

700g----X

700x5.80=4.60/1=4.60

Final answer:

To find the cost of 700 grams of grapes, divide the cost of 1 kilogram by 1000 to get the price per gram, then multiply by 700. Meagan pays $4.06 for 700 grams of grapes.

Explanation:

To calculate how much Meagan pays for 700 grams of grapes when 1 kilogram (1000 grams) of grapes costs $5.80, we first find out the cost per gram. Then we multiply the cost per gram by the amount of grams Meagan is buying.

The cost per gram is: $5.80 / 1000 grams = $0.0058 per gram.

So for 700 grams, Meagan pays: $0.0058 per gram × 700 grams = $4.06.

Therefore, the cost of 700 grams of grapes is $4.06.

Answer: No, 1/4 is equal to 0.25

Step-by-step explanation:

1/4

= 0.25

= 25%

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Answer:

no it is 1/4 is equal to .25 and 2.5 is 5/2

Step-by-step explanation:

formula for area of circle is

[tex]\pi {r}^{2} [/tex]

the diameter is 2 times the radius.

so if diameter is 11 then radius is 5.5

so then the answer will be 94.985

Answer: I believe the correct answer is A. Because 2/3 is negative so it belongs on the negative side of the number line. And 5/3 is positive so it belongs on the positive of the number line.

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Simply divide 1.75 by 5 to find that 0.35 mL of water will be in each beaker.