A cabin cruiser travels 48 miles upstream (against the current) and 48 miles downstream (with the current). The speed of the current is 4 miles per hour. Find the total time traveled if the cabin cruiser travels at 12 miles per hour in still water.

Answer:

the answer is 9x+7+ 4/x−5

Step-by-step explanation:

Answer:

C) 26π mi

Step-by-step explanation:

1. Find the diameter:

24² + 10² = d², because of the pythagorean theorem.

Add: 676 = d²

Square root: 26 = d, no negatives by domain

2. Find the circumference:

C = dπ

Plug in: C = 26π miles

Answer:

5u - 30y + 10

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

First, we know that angles 6 and 8 are supplementary.

Therefore m∠6 + m∠8 = 180°

123.5° + m∠8 = 180°

m∠8 = 56.5°

Then, using the alternating exterior angle theorem, we can find that...

m∠8 ≅ m∠1

So m∠1 = 56.5°

the answer to this question is A

Answer:

Step-by-step explanation:

25,

V=lwh

So 5*5*5

125 in ^3

Answer:

B

Step-by-step explanation:

The surface area (A) of a sphere is

A = 4πr² ← r is the radius which we require

Given A = 2500π, then

4πr² = 2500π ( divide both sides by 4π )

r² = 625 ( take the square root of both sides )

r = 25

The volume (V) of a sphere is

V = [tex]\frac{4}{3}[/tex]πr³, and

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex]r³ = [tex]\frac{4}{3}[/tex] × 25³ , thus

[tex]\frac{V}{\pi }[/tex] = [tex]\frac{4}{3}[/tex] × 15625 ≈ 20833.33.. → B

Answer:

Square Root of 61

Step-by-step explanation:

Square root of 54

^u^

both √25 and -√16 are rational

ANSWER

A) The algebraic function has a greater maximum value.

EXPLANATION

The given function is

[tex]f(x) = - 8 {x}^{2} + 4x + 2[/tex]

This can be rewritten as:

[tex]f(x) = - 8( {x - \frac{1}{4} })^{2} + \frac{5}{2} [/tex]

The maximum value of this function is 2.5

The maximum value of the graph is less that zero.

This means that that the maximum value of the algebraic function is greater than the maximum value of the graph.

Answer:

Option A.

Step-by-step explanation:

Algebraically expressed function is f(x) = -8x² + 4x + 2

As we know in a quadratic equation f(x) = ax² + bx + c, if a is negative then the vertex will be maximum.

and the maximum value will be represented by [tex]c-\frac{b^{2}}{4a}[/tex]

From the given quadratic equation

a = -8

b = 4 and c = 2

Now we place these values in the equation.

Maximum = [tex]2-\frac{4^{2}}{4(-8)}[/tex]

                = 2 + 0.5

                = 2.5

From the graph attached we can easily conclude that vertex of the parabola is less than 0.5

Therefore, algebraic function has the greater maximum value.

Option A. is the answer.  

Answer:

SAS Similarity Theorem

Step-by-step explanation:

Google SAS Similarity Theorem for explanation.

Answer:

it is 1,3,and 5

Step-by-step explanation:

The statements that are true about the ramp is:

Clearly from the figure given to us we observe that:

[tex]Volume=Bh[/tex]

Also, for the triangular prism the base area is halved and hence the base area of triangular prism is: B/2

Hence, the total volume of Triangular prism is: [tex]\dfrac{1}{2}Bh[/tex]

Hence, the total volume of figure is:

[tex]Bh+\dfrac{Bh}{2}[/tex]

                        and h=4.8 ft.

                       Hence, volume of figure is:

[tex]4\times 4.8+\dfrac{4\times 4.8}{2}\\\\\\28.8 cubic ft.[/tex]

Answer:

0.08

Please give me brainiest!

Trying to get up a rank <:)

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values:

The fraction number = 8/100

step 2 Write it as a decimal

8/100 = 0.08

0.08 is the decimal representation for 8/100

Answer:

0.08 Is the answer

Answer:

9 on ED2020

Step-by-step explanation:

The simplified value of the expression [tex]\frac{27^2}{27 ^{4/3}}[/tex]  using properties of exponents is 3² or 9.

Given Expression: [tex]\frac{27^2}{27 ^{4/3}}[/tex]

To Simplify the expression, use the following Exponents properties

Now, let's factorize the number of prime factors

27 = 3 x 3 x 3 or 3³

So, the Expression [tex]\frac{27^2}{27 ^{4/3}}[/tex] can  be written as

[tex]\frac{27^2}{27 ^{4/3}}[/tex] = [tex]\frac{(3^3)^2}{(3^3)^{4/3}}[/tex]

Using Power Rule: [tex](a^m)^n = a^{(m*n)[/tex]

[tex]\frac{27^2}{27 ^{4/3}}[/tex] = [tex]\frac{3^{(3*2)}}{3^{3*(4/3)}}[/tex]

       = [tex]\frac{3^6}{3^4}[/tex]

Using Quotient Rule: [tex]a^m / a^n = a^{m-n}[/tex]

[tex]\frac{27^2}{27 ^{4/3}}[/tex]  = [tex]\frac{3^6}{3^4}[/tex]

         =[tex]3^ {6-4}[/tex]

         = 3²

         = 9

Therefore, the simplified expression is 3² or 9.

Learn more about Exponents and power here:

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Answer:

66yds^2

Step-by-step explanation:

Use the formula for the area of a triangle.

1/2(b * h)

Plug in the values.

1/2(11 * 12)

1/2(132)

66

Final answer:

To find the area of a shape, you multiply its length by its width. Different shapes have different formulas to calculate their areas, such as rectangles and triangles.

Explanation:

In mathematics, to find the area of a shape or region, you need to know the length and width of that shape. For example, to find the area of a rectangle, you multiply its length by its width. The formula for the area of a rectangle is A = length x width.

For example, if a rectangle has a length of 5 units and a width of 3 units, the area would be 5 x 3 = 15 square units.

If you have a shape that is not a rectangle, you may need to use a different formula. For example, to find the area of a triangle, you can use the formula A = 1/2 x base x height. The base is the length of the bottom side of the triangle, and the height is the distance from the base to the top point of the triangle.

Answer:

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

Step-by-step explanation:

Given equation is [tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

Now question says to write that in exponential form.

So we can use the following conversion formula:

[tex]\log_ca=b\ \Rightarrow c^b=a[/tex]

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)[/tex]

[tex]-p\left(t\right)=\log_{10}t^\left(0.5\right)[/tex]

[tex]\log_{10}t^\left(0.5\right)=-p\left(t\right)[/tex]

Apply conversion formula

[tex]p\left(t\right)=-\log_{10}t^\left(0.5\right)\ \Rightarrow 10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

[tex]10^{-p\left(t\right)}=t^{\left(0.5\right)}[/tex]

Answer:

The line intercepts the y-axis and [tex]y = 8[/tex]

Step-by-step explanation:

The intersection on the y-axis of a line is found to be [tex]x = 0[/tex].

That is, the intercept with the y-axis is the value of the function when x is equal to zero.

In this case we know the following points of the function:

x  : -2    -1    0    1     2    3

y  : 16    12   8    4    0   -4

Note that when [tex]x = 0[/tex] then [tex]y = 8[/tex].

Therefore the line intercepts the y-axis and [tex]y = 8[/tex]

Answer:

the answer is B.  4/3 cubic ft.

Step-by-step explanation:

use the formula

V = LWH

using 1/3 for each calculation

length = 3 (1/3 ft)

width = 4 (1/3 ft)

height = 3 (1/3 ft)

then you substitute those dimension

V = (3/3 ft.) (4/3 ft.) (3/3 ft.)

V = (1 ft.) (4/3 ft.) (1 ft.)

V = 4/3 cubic ft

Answer:

The answer is 80%.

Step-by-step explanation:

During a certain day, a worker made 81 parts.

He usually does 45 parts per day.

Number of extra parts made = [tex]81-45=36[/tex]

The percent by which he increased the number of parts he usually makes can be given as = [tex]\frac{36}{45}\times100[/tex] = 80%

Therefore, on that day, the percent increased by 80%.

Answer:

Increase by 80%

Step-by-step explanation:

45 : 100%

81 : y

[tex]\frac{81}{45} :\frac{y}{100}[/tex]

y × 45 = 81 × 100

45y = 8100

45y ÷ 45 = 8100 ÷ 45

y = 180

180% - 100% = 80%

Increase by 80%

Answer:

B

Hope this Helps!    Have A Nice Day!!

Answer:

b

Step-by-step explanation:

24$ I believe is the answer You divide the total number of miles driven, to the number of miles per gallon . 180 divided by 30 = 6. Then multiply the answer 6 times dollars per gallon 4$ • 6 = 24 Your answer is 24 :)

Ethan's trip cost $24 in gasoline expenses, calculated by dividing the distance by the fuel economy to find the gallons used and then multiplying that by the cost per gallon.

To calculate the total cost of gasoline for Ethan's trip, we need to know two things: the fuel economy of the car and the distance traveled. The fuel economy is given as 30 miles per gallon, and the distance traveled is 180 miles.

First, we calculate how many gallons of gas were used during the trip:

Therefore, the total cost of gasoline for the trip was $24.

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Answer: The difference between 82 and -40 is 122.

Step-by-step explanation:

To find out how much warmer 82 degrees is than -40 degrees, you add 40 to 82, which totals 122 degrees.

To determine how much warmer 82 degrees is compared to -40 degrees, we simply calculate the difference between the two temperatures. This is a simple calculation where we subtract the lower temperature from the higher temperature.

The calculation would be: 82 - (-40) = 82 + 40 = 122 degrees.

So, 82 degrees is 122 degrees warmer than -40 degrees. Note that this calculation assumes that the temperatures are measured on the same scale, which is typically Fahrenheit in the context of weather temperature changes in the United States.

Corresponding angles are the ones that occupy the same relative position where a third line intersects two other lines. If lines FH and IK are parallel, the corresponding angles are FHB and IKB; and BHJ and BKL. They are always equal in measure if the lines are parallel.

In geometry, lines that are parallel have several corresponding angles. Corresponding angles are the angles that occupy the same relative position at each intersection where a line intersects two other lines. If lines FH and IK are parallel and intersected by another line (Let's call it line B for easier understanding), the corresponding angles would be as follows:

These pairs are known as corresponding angles. Coresponding angles are always equal in measure if the lines are parallel to each other.

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Answer:

-140 and -8.

Step-by-step explanation:

These are all of the steps to completely and correctly solve this question.

Hope this helps!!!

Kyle.

Answer:

-8 and -140

Step-by-step explanation:

Let the numbers be x and y.  Then xy = 1120, and x + y = -148.

Solving the first equation for y, we get 1120/x.

Substituting this into the second equation:  x + 1120/x = -148

Multiplying all terms by x removes x from the denominator(s):

x² + 1120 + 148x = 0.

Let's use the quadratic formula to find x.  Here a = 1, b = 148 and c = 1120.

Then the discriminant is b²-4ac, or, in this case, 148²-4(1)(1120) = 17424.  Because this discriminant is positive, we have two real, unequal roots.

They are:

       -148 ± √17424

x = ------------------------ = -8 and -140.

              2

Note that -8 and -140 add up to -148, so that's correct.

(-8)(-140) = 1120, so that also is correct.

Answer:

8861 : 9495

Step-by-step explanation:

Ratio of income in 2001 to 2003:

53,166 : 56,970

Then, you can simplify by dividing both sides by 6:

8,861 : 9,495

Can't simplify anymore, Therefore this is the answer!

8861 : 9495

Hope I helped! Have a good day :)

Answer:

[tex]\frac{8861}{9495}[/tex]

Step-by-step explanation:

Income of an individual in 2001 = [tex]\$ 53,166[/tex]

Income of an individual in 2003 = [tex]\$ 56,970[/tex]

Here, we need to find ratio of income in 2001 to the income in 2003 in simplest form .

i.e we need to convert [tex]\frac{\$53,166}{\$ 56,970}[/tex] in simplest form .

A fraction [tex]\frac{a}{b}[/tex] is said to be in simplest form if [tex]HCF(a,b)=1[/tex]

So, we will first find [tex]HCF(53166,56970)[/tex] then divide both numerator and denominator by the HCF .

Here,

[tex]53166=2\times 3\times 8861[/tex]

[tex]56970=2\times 3\times 3\times 3\times 5\times 211[/tex]

So, [tex]HCF(53166,56970)=2\times 3=6[/tex]

On dividing both numerator and denominator by 6 , we get

[tex]\frac{53166}{56970}=\frac{8861}{9495}[/tex]

Answer:

-2 11⁄20 = -2.55

Step-by-step explanation:

Combine like-terms to get -2x - 0.2 = 4.9. So, straight off the bat, we know that -2x has to equal 5.1 [move 0.2 to the right side of the equivalence symbol]. Then you would simply divide by -2 to get the above answer.

I am joyous to assist you anytime.

Answer:

C. 2 cups

Step-by-step explanation:

So since it says for every 1/2 cup of whole milk, you need 1/4 of heavy cream, that means you will need twice as much whole milk as you do heavy cream.

So for every one cup of heavy cream, that means you need 2 cups of whole milk.

This is because 1/2 is twice as much as 1/4.

To scale up the given ratio of 1/2 cup of whole milk to 1/4 cup of heavy cream to 1 cup of cream, you need to multiply the quantity of milk by 4. This gives you 2 cups of milk for 1 cup of cream.

The question asks us to calculate the quantity of whole milk that should we used for every cup of heavy cream, based on a given ratio. The ratio given is 1/2 cup of milk for every 1/4 cup of cream. Ratios can be scaled up or down while keeping the same relationship between quantities. In this case, we want to know how much milk to use for 1 cup of cream. Since 1 cup is 4 times larger than 1/4 cup, we simply multiply the quantity of milk by 4 as well, which gives us 1/2 cup * 4 = 2 cup. Hence, the answer is C. 2 cups of milk should be used for every cup of heavy cream.

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Answer:

a.) 1.38 seconds

b.) 17.59ft

Step-by-step explanation:

h(t) = -16t^2 + 22.08t + 6

if we were to graph this, the vertex of the function would be the point, which if we substituted into the function would give us the maximum height.

to find the vertex, since we are dealing with something called "quadratic form" ax^2+bx+c, we can use a formula to find the vertex

-b/2a

b=22.08

a=-16

-22.08/-16, we get 1.38 when the minuses cancel out. since our x is time, it will be 1.38 seconds

now since the vertex is 1.38, we can substitute 1.38 into the function to find the maximum height.

h(1.38)= -16(1.38)^2 + 22.08t + 6 -----> is maximum height.

approximately = 17.59ft -------> calculator used, and rounded to 2 significant figures.

for c the time can be equal to (69+sqrt(8511))/100, as the negative version would be incompatible since we are talking about time. or if you wanted a rounded decimal, approx 1.62 seconds.

Answer:

a) [tex]h(t)=-16(t-0.69)^2)+13.62[/tex]

b)The maximum height is 13.62 feet.

c) 1.84 seconds

Step-by-step explanation:

The function that models the height in feet of the hammer above the ground is

[tex]h(t)=-16t^2+22.08t+6[/tex]

Factor  -16 as shown;

[tex]h(t)=-16(t^2-1.38t)+6[/tex]

Add and subtract  the square of half the coefficient of t.

[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]

[tex]h(t)=-16(t^2-1.38t+(-0.69)^2)--16(-0.69)^2+6[/tex]

Rewrite the first three terms as a perfect square trinomial;

[tex]h(t)=-16(t-0.69)^2)+13.62[/tex]

This function is now in the form;

[tex]h(t)=a(t-h)^2)+k[/tex]

where (h,k)=(0.69,13.62)

This implies that; the hammer reached its maximum height at t=0.69 seconds.

b) The maximum height is the y-value of the vertex.

The maximum height is 13.62 feet.

c) To answer this question we need to find the difference between the  x-intercepts.

[tex]h(t)=-16t^2+22.08t+6[/tex]

a=-16,b=22.08,c=6

[tex]t_2-t_1=\sqrt{(t_1+t_2)^2-4t_1t_2}[/tex]

[tex]t_2-t_1=\sqrt{(\frac{-b}{a})^2-4(\frac{c}{a})}[/tex]

[tex]t_2-t_1=\sqrt{(\frac{-22}{-16})^2-4(\frac{-6}{-16})  }=1.84[/tex]

Hence the hammer was in the air for 1.84 seconds

Answer:

D

Step-by-step explanation:

Note that 13 = 13[tex]x^{0}[/tex] since [tex]a^{0}[/tex] = 1

Then 13 is a monomial of degree 0 → D

Answer:

Below

Step-by-step explanation:

Part A:

Like Pasta / Like Rice: A = 20

Like Rice / Do not like Pasta: B = 60

Total: C = 80

Do not like rice / Like Pasta: D = 40

Do not like rice & Pasta: E = 80

Total F = 120

Total G = 60

Total H = 140

Total I = 200

Part B: Using the rule of three:

If 200 represents 100%, then how much 80 represents?

(80 * 100) / 200 = 40%

40% did not like pasta nor rice.

Part C:

From the survey we know that:

30% like rice, and 20% dislike pasta. So yes, the survey reveals a greater dislike for rice.

Answer:

Step-by-step explanation:

-5x - 3y= -7

+5x        +5x

-3y= 5x -7

------   ------

-3         -3

y=-5/3x + 7/3