Find the value of d²yldx² at the point defined by the given value of t. x = sin t y = 9 Sin +₁ + = 1 t += 15

According to the given statement Lauren purchased 29 gallons of gas at Quickflick.

To find out how many gallons of gas Lauren purchased at Quickflick,

we can set up a system of equations. Let's let x be the number of gallons she bought at Quickflick.

From the given information, we know that the total number of gallons she bought at both gas stations is 34.5.

Therefore, the number of gallons she bought at Gasstop would be (34.5 - x).

Now, we can set up the equation based on the cost of gas.

At Gasstop, the gas cost $2.80 per gallon, so the cost of gas bought at Gasstop would be (2.80 * (34.5 - x)).

At Quickflick, the gas cost $2.88 per gallon, so the cost of gas bought at Quickflick would be (2.88 * x).

According to the given information, the total amount she spent on gas is $97.92.

Therefore, we can set up the equation:

(2.80 * (34.5 - x)) + (2.88 * x) = 97.92

Now, we can solve this equation to find the value of x,

which represents the number of gallons she purchased at Quickflick.

Simplifying the equation:

95.6 - 2.8x + 2.88x = 97.92

Combining like terms:

0.08x = 2.32

Dividing both sides by 0.08:

x = 29

Lauren purchased 29 gallons of gas at Quickflick.

Therefore, Lauren purchased 29 gallons of gas at Quickflick.

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Answer:

y=-2x-6

Step-by-step explanation:

y-10=-2(x-2)

distribute

y-10=-2x+4

subtract 10 from both sides

y=-2x-6

Answer: The steak costs $ 7.67.

Step-by-step explanation:

Given: Cost per pound of Rib-eye steaks = $8.52

Ms. Markum bought a 0.9-pound steak.

To find :  cost of 0.9 pound steak =

Then cost of 0.9 pound steak = 0.9 x (Cost per pound of Rib-eye steaks )

= $ (0.9  x 8.52)

= $7.668 ≈  $ 7.67

Hence, the steak costs $ 7.67.

Bobby can feed 13 dogs with 4 1/3 pounds of dog food, if he feed each dog 1/3 fraction of a pound.

A mixed number is a combination of a whole number and a fraction. It is used to represent a value that is greater than one, but also includes a fractional part. The whole number portion represents the whole units, while the fraction portion represents the remaining part that is less than one.

To determine the number of dogs Bobby can feed with 4 1/3 pounds of dog food, we need to divide the total amount of dog food by the amount of food needed per dog.

Given that Bobby has 4 1/3 pounds of dog food, we can convert this to a mixed number:

= 4 + 1/3

= 12/3 + 1/3

= 13/3 pounds of dog food.

Since each dog needs 1/3 of a pound of food, we can divide the total amount of food by the food needed per dog:

= (13/3) / (1/3)

= (13/3) * (3/1)

= 13 dogs.

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Answer:

can I see the whole picture plz. I just want to understand it

Answer:

Below

Step-by-step explanation:

-1 1/5 is less than -7/5 because of you simplify -7/5 it becomes -1 2/5. That os why it would be below. Hope that helps!

Answer:

y = - 3

Step-by-step explanation:

Given the 2 equations

6x + 11y = - 3 → (1)

4x + y = = 17 → (2)

Multiplying (1) by 4 and (2) by - 6, then adding will eliminate the term in x

24x + 44y = - 12 → (3)

- 24x - 6y = - 102 → (4)

add (3) and (4) term by term to eliminate x

0 + 38y = - 114

38y = - 114 ( divide both sides by 38 )

y = - 3

Answer:

239392iq5858558586867685858484939939

e

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz

The cutoff score so that only 5% of the population has a higher score is 124.7.

If 5% of the population has a higher score, then the probability of selecting these is 0.05.

Find the z-score that corresponds to the probability in the z-table. (see attached images)

probability = 1 - 0.05 = 0.95

z-score = 1.647

Using the formula for the z-score below, determine the cutoff score.

z-score = (x – μ) / σ

where x = individual data value = cutoff score

μ = mean = 100

σ = standard deviation = 15

1.647 = (x - 100) / 15

1.647(15) = x - 100

x = 24.705 + 100

x = 124.705

cutoff score = 125

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Answer: it’s 60

Step-by-step explanation:

The null hypothesis asserts that the data are well described by both your model and the model without independent variables.

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Answer: 15 is a 25% increase of 12.

Step-by-step explanation: Difference of 12 and 15 = |12 - 15|/((12 + 15)/2) = 3/13.5 = 0.22222222222222 = 22.222222222222%

The surface area of the rectangular prism is 88 square inches.

Given that:

Length, L = 6 inches

Width, W = 2 inches

Height, H = 4 inches

Let the prism with a length of L, a width of W, and a height of H. Then the surface area of the prism is given as

SA = 2(LW + WH + HL)

SA = 2(6 x 2 + 2 x 4 + 4 x 6)

SA = 2 (12 + 8 + 24)

SA = 2 x 44

SA = 88 square inches

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Answer:

Answer:

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is 0.86558

Step-by-step explanation:

The given parameters are;

The mean, \(\bar x\) = 101 gallons

The population mean = μ

The variance, σ² = 49

The number of racing cars, n = 43

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons is given as follows;

P(\(\left | \bar x - \mu \right |\)) >2.4 = P(2.4 > \(\left | \bar x - \mu \right |\) >-2.4)

The formula for the test of the mean, Z₀, is given as follows;

\(Z_0 = \dfrac{\bar x - \mu}{\dfrac{\sigma}{\sqrt{n} } }\)

Therefore, we have;

\(P \left (\dfrac{2.4}{\dfrac{\sqrt{49} }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{\sqrt{49} } {\sqrt{43} } } \right) = P \left (\dfrac{2.4}{\dfrac{7 }{\sqrt{43} } } >Z> \dfrac{-2.4}{\dfrac{7} {\sqrt{43} } } \right)\)

Which gives;

P(\(\left | \bar x - \mu \right |\)) >2.4 = P(2.25 > Z > -2.25)

(We round up to 2.25 because that is the accuracy of the z-table)

From which we have;

P(Z > -2.25) - P(Z > 2.25) = (1 - P(Z < -2.25)) -  (1 - P(Z < 2.25))

P(\(\left | \bar x - \mu \right |\)) >2.4 =  (1 - 0.1222) - (1 - 0.98778) = 0.86558

The probability that the sample mean would differ from the population mean by greater than 2.4 gallons = 0.86558.

Answer:

-3/2

Step-by-step explanation:

1. 3 (2x + 1)

2. 4x (x + 2)

3. (x + 4) (x + 6)

4.

Since I dint show the method to get the ans for the above 3 I'll show it out for this one :)

x² – 15x + 56

x² –7x –8x + 56

x (x –7) –8(x–7)

( x–8) (x– 7)

5. (x –6) (x+2)

Answer:

2.5

Step-by-step explanation:

BASED ON GIVEN DATA:

⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES

⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES

THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.

Answer:  0.5  minutes

Step-by-step explanation:  

Answer:

50

Step-by-step explanation:

40 ÷ 4 × ( 2 + 3 )

= ( 40 ÷ 4 ) × ( 2 + 3 )

= 10 × 5

= 50

Answer:

true

Step-by-step explanation:

for example, when you solve an equation and you get something like 16=16, which is infinitely many solutions and is also a true statement

Answer:

What's a Solution to a System of Linear Equations? Note: If you have a system of equations that contains two equations with the same two unknown variables, then the solution to that system is the ordered pair that makes both equations true at the same time.

Step-by-step explanation:

Answer:

x = 5 / (a+b+3)

Step-by-step explanation:

ax+3x=bx+5

x = 5 / (a+b+3)

Answer:

2(n+3)

Step-by-step explanation:

The sum to 3 = n+3

That sum doubled (~twice) = 2(n+3)

Answer:

2(n+3)

Step-by-step explanation:

Let's look at the statement:

'twice the sum of some number and 3'

Twice means 2 multiplied by something.

What is that something? It is the sum of some number and 3.

Let's replace the some number with variable n.

So it becomes the sum of n and 3, which translates to n+3.

So you put the two parts together:

2 multiplied by (n+3), rewritten as 2(n+3).

Answer:

(0,6)

Step-by-step explanation:

We are given a line, and we want to find the y-intercept of this line.

The y-intercept is the point where the line intersects the y-axis. The value of x at the y-axis is 0.

Since the value of x at the y-axis is 0, we can get rid of the options (6,0) and (2,0).
The y-axis is the vertical line; at the top of the graph, the line labeled 'y' is the y-axis.

If we look at the y-axis, we can see that the point (0,6) is shared between both the y-axis and the line.

Therefore, the y intercept of this point is (0,6).

Answer:

y^2/16  -  x^2/144 =1 is your answer.

Step-by-step explanation:

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

Answer:

3 3/4

Step-by-step explanation:

First: 1/4 x 15/1 = 15/4

Second is to simplify: 15/4 equals 3 3/4

Fraction:-

Turn to mixed

Answer: 4/5

Step-by-step explanation:

Answer:

8 i used a triangular calucator

Step-by-step explanation: