Peter sells ice cream for a living. On Monday, his revenue was 150 dollars. On Tuesday, his revenue was 100 dollars. Finally, on Wednesday, his revenue was 50 dollars. How much is Peter's revenue so far?

Answer:

A)  

[tex]\begin{array}{|c|c|c|}\cline{1-3} t & H(t) & g(t)\\\cline{1-3} 1 & 60 & 20.4\\\cline{1-3} 2 & 76 & 30.8\\\cline{1-3} 3 & 60 & 41.2\\\cline{1-3} 4 & 12 & 51.6\\\cline{1-3} \end{array}[/tex]

Between 3 and 4 seconds.

B)  The baseballs will collide between 3 and 4 seconds.

Step-by-step explanation:

Given functions:

[tex]H(t)=-16t^2+64t+12[/tex]

[tex]g(t)=10+10.4t[/tex]

Substitute the values of t = 1, 2, 3 and 4 into the two functions:

[tex]H(1)=-16(1)^2+64(1)+12=60[/tex]

[tex]H(2)=-16(2)^2+64(2)+12=76[/tex]

[tex]H(3)=-16(3)^2+64(3)+12=60[/tex]

[tex]H(4)=-16(4)^2+64(4)+12=12[/tex]

[tex]g(1)=10+10.4(1)=20.4[/tex]

[tex]g(2)=10+10.4(2)=30.8[/tex]

[tex]g(3)=10+10.4(3)=41.2[/tex]

[tex]g(4)=10+10.4(4)=51.6[/tex]

Create a table with the found values:

[tex]\begin{array}{|c|c|c|}\cline{1-3} t & H(t) & g(t)\\\cline{1-3} 1 & 60 & 20.4\\\cline{1-3} 2 & 76 & 30.8\\\cline{1-3} 3 & 60 & 41.2\\\cline{1-3} 4 & 12 & 51.6\\\cline{1-3} \end{array}[/tex]

The solution to H(t) = g(t) is between 3 and 4 seconds as:

When t = 3, H(t) > g(t)

When t = 4, H(t) < g(t)

To prove this, equate the equations and solve for t:

[tex]\implies -16t^2+64t+12=10+10.4t[/tex]

[tex]\implies -16t^2+53.6t+2=0[/tex]

Using the Quadratic Formula to solve for t:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies t=\dfrac{-53.6 \pm \sqrt{53.6^2-4(-16)(2)} }{2(-16)}[/tex]

[tex]\implies t=\dfrac{53.6 \pm \sqrt{3000.96}}{32}[/tex]

[tex]\implies t=3.39, -0.04\:\:(\sf 2\:d.p.)[/tex]

As time is positive, t = 3.39 s (which is between 3 and 4 seconds).

When the two baseballs are at the same height they will collide.

Therefore, the baseballs will collide between 3 and 4 seconds (when t = 3.39 s).

The values of the x in the given equation are x = 6.46 and x = -0.46

From the question, we are to solve the equation for x

The given equation is

(x+3)² -10 = 2

First, add 10 to both sides of the equation

(x+3)² -10 +10 = 2 +10

(x+3)²  = 12

Now, take the square root of both sides to get

x + 3 = ±√12

∴ x = 3 ± √12

x = 3+√12 OR 3-√12

x = 3 + 3.46 OR 3 - 3.46

x = 6.46 OR -0.46

Hence, the values of the x in the given equation are x = 6.46 and x = -0.46

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Answer:

x^3+6x^2+9x

if you are trying to find the original function

if not, and you are trying to find the zeros is

x=-3

x=0

Step-by-step explanation:

multiply x(x+3)

x^2+3x

then multiply that by x+3 and that should give you the answer

Answer:

x = 0 or x = -3 or x = -3

Step-by-step explanation:

set up factors as:

x = 0

x + 3 = 0

x + 3 = 0

the first will remain as x = 0 while the others become x = -3 once subtracted

i hope this helped!

Answer:

9 weeks.

Step-by-step explanation:

m = 11w + 67

m = 17w + 13

So:

11w + 67 = 17w + 13

67 - 13 = 17w - 11w

54 = 6w

w = 9.

Answer:

Step-by-step explanation:

Well first you have:

$15.95 for one sweater
$9.00 each for two shirts

You would double the amount $9.00 which would be:

9 + 9 = 18 or Multiply 9 x 2 = 18

So this would total to 15 + 18 = $33

The equation of the parallel line is y = -5x - 1

The equation is given as:

5x + y = 4

Make y the subject

y = -5x + 4

The slope of the above equation is

m = -5

Parallel lines have equal slope.

This means that the slope of the new line is 5

The equation is then calculated as:

y = m(x - x1) + y1

So, we have:

y = -5(x + 1) + 4

Expand

y = -5x - 5 + 4

Evaluate

y = -5x - 1

Hence, the equation of the parallel line is y = -5x - 1

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The pounds of pressure needed to reach a fire 50 feet away is 48 pounds

d = 1/2n + 26

where

If d = 50 feet

d = 1/2n + 26

50 = 1/2n + 26

50 - 26 = 1/2n

24 = 1/2n

n = 24 ÷ 1/2

n = 48 pounds

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Answer:

12/13

Step-by-step explanation:

     [tex]\sf Cos \ x = \dfrac{adjacent \ side \ to \ \angle x}{hypotenuse}\\\\[/tex]

              [tex]\sf = \dfrac{XY}{ZX}\\\\=\dfrac{36}{39}\\\\=\dfrac{36 \div3}{39 \div 3}\\\\=\dfrac{12}{13}[/tex]

your anwer would be 12/13 love

Answer:

A

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex] , then

[tex]log_{2}[/tex] 8 = 3 ⇒ 2³ = 8

Answer:

A

Step-by-step explanation:

loga(b)=x

a^x=b

since the answer to log2(8)=3

a^3=8

b=8

a=2

so 2^3=8

I hope this helped!

The citizens of a state may only register to vote after proving to have submitted their census survey is a "false" statement.

In order to create statistics that define populations and their characteristics, such as age, education, housing, and income, the U.S. Census Bureau compiles data from households.

The purpose of census survey are-

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The complete question is-

The citizens of a state may only register to vote after proving to have submitted their census survey.(True/False)

Answer:

Step-by-step explanation:

9,328 and you would divide that by 98 and the answer would be 95.18367347 boxes

Using an exponential function, it is found that Mary's initial investment was of $3,030.

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

Her investment model, in thousands of dollars, is:

[tex]M(x) = 3.03(1.28)^{2x}[/tex]

Then a = 3.03, since we measure the amount in thousands of dollars, Mary's initial investment was of $3,030.

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The area of the convex polygon is 21.5 square units

The vertices are given as:

(0,5), (-1,2), (4,4), (-3,-4) and (2,0)

The area is then calculated as:

A = 0.5 * |x1y2 - x2y1 +x2y3 - x3y2 + ....... |

So, we have:

A = 0.5 * |-1 * 5 - 2 * 0 + 0 * 4 - 5 * 4 + 4 * 0 - 4 * 2 +2 * -4 - 0 * -3 - 3 * 2 + 4 * 1|

Evaluate

A = 0.5 * |-43|

Remove the absolute bracket

A = 0.5 * 43

This gives

A = 21.5

Hence, the area of the convex polygon is 21.5 square units

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When sampling is finished without replacement, each member of a population could also be chosen just once. during this case, the chances for the second pick are full of the results of the primary pick. The events are considered to be dependent or not independent.

lets understand with the help of an Example

You have a good, well-shuffled deck of 52 cards. It consists of 4 suits. The suits are clubs, diamonds, hearts and spades. There are 13 cards in each suit consisting of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king) of that suit.

Sampling without replacement:

Suppose you decide three cards without replacement. the primary card you choose out of the 52 cards is that the K of hearts. you place this card aside and pick the second card from the 51 cards remaining within the deck. it's the three of diamonds. you place this card aside and pick the third card from the remaining 50 cards within the deck. The third card is that the J of spades. Your picks are . Because you have got picked the cards without replacement, you can not pick the identical card twice.

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Answer:

7x  + 9/10  ft

Step-by-step explanation:

To find the perimeter of a triangle, add the lengths of the three sides

P = 2x + 1/5  +  4x + 1/2  + x+ 1/ 5

Combine like terms

P = 7x + 2/5 +1/2

Get a common denominator

P = 7x + 2/5(2/2) + 1/2 * (5/5)

   = 7x + 4/10 + 5/10

   = 7x  + 9/10

Answer:

C

Step-by-step explanation:

Distribute the negative, (2x^2 + 5) + (-4x+3)

Add like terms, 2x^2 - 4x +(5+3)

2x^2-4x+8

Answer:

39

Step-by-step explanation:

Answer: 102 degrees

Step-by-step explanation:

The remote angle theorem is that two remote angles are equivalent to the exterior angle. Both 51 degrees are remote angles, and angle 4 is the exterior.

51 + 51 = Angle 4

Angle 4 = 102 degrees

See below for the solution of each question

The points are given as:

(3,60) and (5, 80)

The equation is calculated as:

[tex]C(n) = \frac{C_2 -C_1}{n_2 -n_1} * (n - n_1) + C_1[/tex]

This gives

[tex]C(n) = \frac{80- 60}{5-3} * (n - 3) + 60[/tex]

Evaluate the quotient

C(n) = 10 * (n - 3) + 60

Expand

C(n) = 10n - 30 + 60

Evaluate

C(n) = 10n + 30

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10n + 30

The point (3, 60) means he paid $60 for 3 hours

Here, we have:
Fixed = $10

Hourly rate = $15

The equation is calculated as:

C(n) = Fixed + Rate * Number of hours

This gives

C(n) = 10 + 15n

Hence, the relation of total cost, C, and number of hours, n is C(n) = 10 + 15n

The equation is represented as:

C(n) = 10 + 15n

See attachment for the graph

This is the point where the two lines intersect.

From the graph, we have the point of intersection to be:

(n, C(n)) = (4, 70)

This means that the charges for Comput-Repair and Data-Fix are the same after 4 hours

Based on the point of intersection, it is best that Jargit uses Compu-Repair because they have a lesser hourly rate

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Answer:

The correct answer choice is D

The coefficient of t to the 4th power in the given expansion is -167403915.

Option (c) is the correct answer.

An expansion of a product of sums uses the fact that multiplication distributes across addition to represent it as a sum of products. A polynomial expression can be expanded by repeatedly substituting equivalent sum of products for subexpressions that multiply two other subexpressions, at least one of which is an addition, up until the expression becomes a sum of (repeated) products. Simplifications like grouping similar terms or canceling terms may also be used during the expansion.

Given expansion=[tex](-9t-9)^{7}[/tex]

Coefficient of the 4th power of t in the expansion,

=[tex]_{7} {C} _{7-4} (-9t)^{4}(-9)^{7-4}[/tex]

=[tex]_{7}C_{3}(-9)^{4}t^{4}(-9)^{3}[/tex]

=[tex]_{7}C_{3}(-9)^{7}t^{4}[/tex]

=[tex]35t^{4}(-9)^{7} \\[/tex]

=[tex]35t^{4}(4782969)[/tex]

= -167403915[tex]t^{4}[/tex]

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Answer:

[tex]y=7x[/tex]

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

If x and y vary directly, that means that y is directly proportional to x. So, the parent function is y = kx.

So, by plugging in the given y=42 when x=6 into this parent function, we get:

42=6k

If we solve for k, we end up with 7.

Now if we plug in the value of k back into the parent function of this scenario, we get:
[tex]y=7x[/tex]

Answer:

a = 2m - b , a = 15

Step-by-step explanation:

(a)

m = [tex]\frac{1}{2}[/tex] (a + b) ← multiply both sides by 2 to clear the fraction

2m = a + b ( subtract b from both sides )

2m - b = a

(b)

when m = 19 and b = 23 , then

a = 2(19) - 23 = 38 - 23 = 15

a. 'a' in terms of m and b is given by: a = 2m - b.
b. when m = 19 and b = 23, the value of 'a' is 15.

a. To express a in terms of m and b, we can rearrange the mean formula:

m = (1/2)(a + b)

Now, we'll solve for 'a':

Multiply both sides by 2 to eliminate the fraction:

2m = a + b

Subtract 'b' from both sides:

2m - b = a

So, 'a' in terms of m and b is given by: a = 2m - b.

b. Now that we have the expression for 'a', we can find its value when m = 19 and b = 23:

a = 2m - b

a = 2(19) - 23

a = 38 - 23

a = 15

So, when m = 19 and b = 23, the value of 'a' is 15.

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Answer:

D. (4,0) and (-4,0)

C. there is one discontinuity at x=3

Step-by-step explanation:

Roots can be found by setting f(x)=0:

f(x)=(x^2-16)/(x^2-2x-3)

0=(x^2-16)/(x^2-2x-3), multiply both sides by x^2-2x-3 to get rid of the denominator

0=x^2-16, use difference of squares to factor it

0=(x+4)(x-4)

x=4,-4

Therefore the roots are (4,0) and (-4,0)

Discontinuities are when f(x) is undefined, and f(x) is undefined when something is divided by 0

Set the denominator equal to 0:

0=x^2-6x+9, use the form a^2 - 2ab + b^2 to factor

0=(x-3)^2

x=3

Therefore, there is a discontinuity at x=3

Answer:

x = 55°

Step-by-step explanation:

That square box indicates a right angle.

A right angle is 90°.

We know that angle x and the 35° angle are making up this 90° angle together.

So, the equation to show what this ship looks like is the following:

[tex]x+35=90[/tex]

This is a simple equation, that if we solve, we get:

[tex]x=55[/tex]

So, x is 55°.

Considering the angle of the ray, it is found that the value of x is of x = 55º.

The ray has an angle of 180º. It is composed by:

Hence:

x + 35 + 90 = 180

x = 180 - 125

x = 55º.

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USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].

To find how many dollars would each receive:

Avogadro's number of pennies is divided equally among 261 million people.

Avogadro's number is [tex]6.022[/tex] × [tex]10^{23}[/tex].

To find the number of pennies each person will receive, we divide [tex]6.022[/tex] × [tex]10^{23}[/tex] by 261 million.

Pennies per person = [tex]\frac{6.022 * 10^{23} }{261 million} = \frac{6.022 * 10^{23} }{261 * 10^{6} } = 2.31 * 10^{15}[/tex]

This is equal to the number of cents each person receives.

To convert pennies into dollars, 1 USD = 100 pennies, divide [tex]2.31 * 10^{15}[/tex] by [tex]100[/tex].

USD per person = [tex]\frac{2.31 * 10^{15} }{100} = $2.31 * 10^{13}[/tex]

Therefore, USD per person = $[tex]2.31[/tex] × [tex]10^{13}[/tex].

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The question you are looking for is here:

If Avogadro's number of pennies is divided equally among the 261 million men, women, and children in the United States, how many dollars would each receive?

Answer:

11

Step-by-step explanation:

if the some of a number is an restrocal is 122 upon 11 find the integers value of x let the number bees two values of x i e 11 and 1 upon 11 are possible hence required in future value of x is 11

Answer:

288pi in^3 , which is 904.78 in^3 to nearest hundredth.

Step-by-step explanation:

V = 4/3 pi r^3

  = 4/3 pi * 6*3

   = 288pi in^3

   = 904.7786842 in^3

Answer:

There are 24 frames of animation in 1 second of anime.    Step-by-step explanation:    There are 60 seconds in 1 minute, and 60 minutes in 1 hour. 60×60=3600, so there are 3600 seconds in 1 hour.Since 3600 seconds and 1 hour is the same, there are 86400 frames of animation in 3600 seconds of anime. To find out how many frames are in one second of anime, divide 86400 by 3600.86400 ÷ 3600 = 24There are 24 frames of animation in 1 second of anime.