the red line equation is y=0.5*2^xthe blue line equation is y=2x+25Compare and contrast this graph

Answer:

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

Answer:

$582.68

Step-by-step explanation:

Total amount will be,

→ $266.63 + $317.29 + $62.78

→ 266.63 + 380.07

→ $646.7

Then the final price will be,

→ ($646.7 - 15%) + 6%

→ (646.7 - (646.7/100) × 15) + 6%

→ (646.7 - 97.005) + 6%

→ 549.695 + (549.695/100) × 6

→ 549.695 + 32.9817

→ 582.6767

→ $582.68

Hence, the answer is $582.68.

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

Step-by-step explanation:

-3(x+7)=5

1. Multiply 3 and x+7 , you will get -3x-21=5

2. Add 21 on both sides, you will be left with -3x=26

3. Divide both sides with -3, and x will equal to -26/3

Answer: 4.8

Step-by-step explanation:

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer: The third one is the correct answer

Step-by-step explanation: I hope this helps

Answer:

False

Step-by-step explanation:

1 + 2 (-4) = -7

1 - 8 = -7

-7 = -7

-4 (-4) = -1

16 = -1

Joe will be able to save and invest a total of $7200 per year. Assuming he continues to invest the same amount each year with an average return of 8%, after 10 years he would have saved and invested a total of $72,000. With an 8% return, Joe would have accumulated a total of $97,764.

To calculate Joe's total savings and investments after 10 years, we must first calculate the amount he will save and invest each year. Joe earns $50,000 annually and commits to spending only 80% of his income, leaving him with an annual savings of $10,000. Joe invests the remaining 20% of his income, which is $10,000, each year. With an average return of 8%, Joe will have saved and invested a total of $72,000 after 10 years. With an 8% return, this amount will have grown to $97,764.

Annual Savings = $50,000 x 0.8 = $40,000

Annual Investment = $50,000 x 0.2 = $10,000

Total Savings & Investments after 10 years = $10,000 x 10 years = $72,000

Total Return after 10 years = $72,000 x 1.08 = $97,764

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Answer:

The probability answer is 69/100

Step-by-step explanation:

The probability of waiting 2 minutes or longer = 0.3= (3/10)

The probability of not waiting longer = 1 - (3/10) = (7/10)

For the man,

P(waiting 2 mins or longer) = 3/10

For the woman,

P(waiting 2 mins or longer) = 3/10

Therefore,

The probability that one or the other or both will wait 2 minutes or longer

= P(man waits 2 mins or longer) or P(woman waits 2 mins or longer) or P(both waits 2 mins or longer)

= (3/10) or (3/10) or ( (3/10) and (3/10) )

= (3/10) + (3/10) + ( (3/10) X (3/10) )

= (6/10) + (9/100)

= (69/100)

Answer: the width is 6.25 ft

And the Length is 18.75 ft

Step-by-step explanation:

Length = 3w

Width = w

Perimeter = 3w + 3w + w + w

50 = 3w + 3w + w + w

50 = 8w

w = 6.25

Length = 3w

Length = 3(6.25)

Length = 18.75

Therefore the width is 6.25 ft

And the Length is 18.75 ft

════════ ∘◦❁◦∘ ════════

════════════════════

y = -2x² - 8x + 3

════════════════════

#First, find the x coordinate first by using the formula of -b/2a

x = -b/2a = -(-8)/2(-2) = 8/-4 = -2

#After getting the x, find the y

y = -2(-2)² - 8(-2) + 3

y = -2×4 +16 + 3

y = -8 + 16 + 3

y = 11

So the vertex is

(-2,11)

════════════════════

Answer:

the vertex is (-2, 11)

Step-by-step explanation:

F(x) = -2X^2 - 8X + 3 can be rewritten as -2(x^2 + 4x) + 3.

We complete the square of x^2 + 4x, obtaining x^2 + 4x + 4 - 4 = (x + 2)^2 - 4

and then we substitute this last result into F(x) = -2(x^2 + 4x) + 3:

F(x) = -2[ (x + 2)^2 - 4 ] + 3, which simplifies to:

F(x) = -2(x + 2)^2 + 8 + 3, or F(x) = -2(x + 2)^2 + 11

Comparing this to the vertex equation (x + h)^2 + k, we see that h must be -2 and k must be 11.  

Thus, the vertex is (-2, 11).

Answer:

57.3

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\mathsf{10 \dfrac{2}{3}\times 5\dfrac{3}{8}}\)

\(\mathsf{= \dfrac{10\times3 + 2}{3}\times\dfrac{5\times8 + 3}{8}}\)

\(\mathsf{= \dfrac{30 + 2}{3} \times \dfrac{40 + 3}{8}}\)

\(\mathsf{= \dfrac{32}{3}\times \dfrac{43}{8}}\)

\(\mathsf{=\dfrac{32\times43}{3\times 8}}\)

\(\mathsf{= \dfrac{172}{3}}\)

\(\mathsf{= 57\dfrac{1}{3}}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{57\dfrac{1}{3}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The midpoint is 26.

Midpoint in this scenario = mean

(23+29)/2 = 26

Answer:

-6

Step-by-step explanation:

Answer: it is (c)

i hope this helped :)

Answer:

4(2y+1)(5y+3)

Step-by-step explanation:

........

Answer:

Step-by-step explanation:

first, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = 180 inches.

Since Daniel already has 28 inches of string, he still needs 180 - 28 = 152 inches of string to complete his project.

Received message. First, we need to convert the 15 feet of string that Daniel needs into inches. Since there are 12 inches in a foot, 15 feet is equivalent to 15 * 12 = **180 inches**. Since Daniel already has 28 inches of string, he still needs 180 - 28 = **152 inches** of string to complete his project.

(a) The linear function that models the volume of hydrogen in the balloon at any time t is V(t) = 2 + 0.5t.

(b) It will take 26 seconds to completely fill the balloon.

A linear function is defined as an equation in which the highest exponent of the variable is always one.

(a) To find the linear function V that models the volume of hydrogen in the balloon at any time t, we can use the following formula:

V(t) = V₀ + rt

where V₀ is the initial volume of hydrogen in the balloon, r is the filling rate (in this case, 0.5 ft³/s), and t is the time (in seconds).

Substituting the given values, we have:

V(t) = 2 + 0.5t

Therefore, the linear function that models the volume of hydrogen in the balloon at any time t is V(t) = 2 + 0.5t.

(b) If the balloon has a capacity of 15 ft³, it will take some time t to completely fill the balloon. At this point, the volume of hydrogen in the balloon will be equal to the capacity of the balloon, which gives us the equation:

V(t) = 15

Substituting the linear function we found in part (a), we have:

2 + 0.5t = 15

Solving for t, we get:

0.5t = 13

t = 26 seconds

Therefore, it will take 26 seconds to completely fill the balloon.

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The question seems incomplete, the complete question would be as:

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.5 ft³/s. Initially, the balloon has 2 ft³ of hydrogen.(a) Find a linear function V that models the volume of hydrogen in the balloon at any time t.V(t) = (b) If the balloon has a capacity of 15 ft³, how long does it take to completely fill the balloon?

Answer: -6 2/3, square root of 36, 6.4..., 71/11

Step-by-step explanation:

Turn the fractions into decimals for more understanding and solve for the square root of 36, 6.4... stays the same

The polar coordinates of (1, -9) are (9.06, -1.47 radians).

To convert from rectangular coordinates to polar coordinates, we can use the following formulas:

r = √(x² + y²)

θ = tan⁻¹(y/x)

where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.

In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:

r = √(1² + (-9)²) = √82 ≈ 9.06

θ = tan⁻¹((-9)/1) ≈ -1.47 radians

Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).

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Total number of families 12

The amount of chicken is 113.4 pound

Number of families receiving chicken 9

So each family will get chicken

Amount of rolls available 6.6 pound

Number of families receiving roll 12

So every 12 families receiving rolls

amount of mashed potatoes available 28.5 pound

Number of families receiving mashed potatoes 10

So every 10 families receiving mashed potatoes

Amount of corn available 18.92 pound

number of families receiving corm 11

So every 11 families will receive corn

Amount of green beans casserole available 5.37 pound

Number of families receiving green peas casserole 3

So every 3 families will receive green peas C

the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

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In a hypothetical situation, an incorrect dosage calculation due to an error in metric system to Imperial System conversion could lead to potential harm to the patient. To avoid such errors, it is crucial to ensure accurate and precise conversions between the metric and Imperial systems. As a nurse, I will double-check my calculations, use reliable conversion charts or tools, and consult with colleagues or supervisors when in doubt. Additionally, ongoing education and training on dosage calculations and metric system conversions will be important to maintain proficiency and prevent errors in the future.

~~~Harsha~~~

Answer:

It's the third choice.

Step-by-step explanation:

IF y varies inversely as x then y = k/x   where k is a constant,

and k = xy    

For the 3rd choice

-1 * -2/7 = 2/7

4 * 1/14 = 2/7 and

6 * 1/21 = 2/7

so, this is inverse variation.

Answer:

(3xy - 1)/3x = b

Step-by-step explanation:

make b the subject of formula

then simply it

did you get it

Answer:

b=Y-x/3

Step-by-step explanation:

Solve for b by simplifying both sides of the equation, then isolating the variable.

have a great day and thx for your inquiry :)

Answer:

9 years old

Step-by-step explanation:

Let maggie's age be m,

and let maggie's brother's age be b

b = 2m - 5,

m + b = 22

Substitute "2m - 5" for b in the second equation (substitution)

m + (2m - 5) = 22 -> Remove parenthesis

m + 2m - 5 = 22 -> Combine like terms

3m = 22 + 5 = 27 -> Divide either side by 3

m = 27/3 = 9

Solution: Maggie is 9 years old

Answer:

» For x-intercept, y is zero

y = x² - 12x + 32

\({ \tt{0 = {x}^{2} - 12x + 32 }} \\ { \tt{ {x}^{2} - 12x + 32 = 0 }} \\ { \tt{(x - 8)(x - 4) = 0}} \\ { \tt{x = 8 \: \: and \: \: 4}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: (8, \: 0) \: \: and \: \: (4, \: 0) \: \: }}}\)

y = x² - 10x +24 :

\({ \tt{0 = {x}^{2} - 10x + 24}} \\ { \tt{ {x}^{2} - 10x + 24 = 0}} \\ { \tt{(x - 6)(x - 4) = 0}} \\ { \tt{x = 6 \: \: and \: \: 4}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: (6, \: 0) \: \: and \: \: (4, \: 0) \: \: }}}\)

y = x² + 10x + 16 :

\({ \tt{0 = {x}^{2} + 10x + 16}} \\ { \tt{ {x}^{2} + 10x + 16 = 0 }} \\ { \tt{(x + 2)(x + 8) = 0}} \\ { \tt{x = - 2 \: \: and \: \: - 8}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: ( - 2, \: 0) \: \: and \: \: ( - 8, \: 0) \: \: }}}\)

y = x² - 25 :

\({ \tt{0 = {x}^{2} - 25}} \\ { \tt{ {x}^{2} = 25}} \\ { \tt{ \sqrt{ {x}^{2} } = \sqrt{25} }} \\ { \tt{x = \pm5}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: (5, \: 0) \: \: and \: \: ( - 5, \: 0) \: \: }}}\)

y = x² + 8x + 12 :

\({ \tt{0 = {x}^{2} + 8x + 12 }} \\ { \tt{ {x}^{2} + 8x + 12 = 0 }} \\{ \tt{(x + 2)(x + 6) = 0}} \\ { \mathfrak{x - intercept : \: \: }}{ \boxed{ \tt{ \: ( - 2, \: 0) \: \: and \: \: ( - 6, \: 0) \: \: }}}\)

For x-intercepts, y is zero y = x² - 12x + 32 then x-intercept is (8,0) and (4,0)

For x-intercepts, y is zero y = x² - 10x + 24 then x-intercept is (6,0) and (4,0)

For x-intercepts, y is zero y = x² + 10x + 16 then x-intercept is (-2,0) and (-8,0)

For x-intercepts, y is zero y = x² - 25 then x-intercept is (5,0) and (-5,0)

For x-intercepts, y is zero y = x² + 8x + 12 then x-intercept is (-2,0) and (2,0)

X- intercepts is "x coordinates of a point where a line, a curve or surface intersects at x- axis".

According to the question,

a) y = x² - 12x + 32 (Put y=0)

x² - 12x + 32 = 0

(x-8) (x-4) = 0

x - 8 =0: x - 4 = 0

x = 8 and 4

x - intercept is (8,0) and (4,0)

b) y = x² - 10x + 24 (Put y=0)

x² - 10x + 24= 0

(x-6) (x-4) = 0

x - 6 = 0: x - 4 = 0

x = 6 and 4

x - intercept is (6,0) and (4,0)

c) y = x² + 10x + 16 (Put y=0)

x² + 10x + 16 = 0

(x+2) (x+8) = 0

x + 2=0: x + 8 = 0

x = -2 and -8

x - intercept is (-2,0) and (-8,0)

d) y = x² - 25 (Put y=0)

x² - 25 = 0

x² = 25

x = ± 5

x - intercept is (+5,0) and (-5,0)

e) y = x² + 8x + 12 (Put y=0)

x² + 8x + 12 = 0

(x+2) (x+6) = 0

x + 2=0: x + 6 = 0

x = 2,6

x - intercept is (2,0) and (6,0)

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Answer:

21/100

Step-by-step explanation:

By looking at the table, we can find the box that has information on people who have dogs but do not walk. The number is 21. The total number of people is 100. To find probability, divide 21 by 100.

21/100

This fraction is in its simplest form and cannot be simplified any further.