Given the equation y = -3 + 2.5
When x is -1.5, what value of y makes the equation true?

Answer:

1- 2 miles per hour

2- 180 miles per hour

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=\( \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}\)

taking positive

t1=\( \frac{8+\sqrt{74}}{4}=4.15seconds\)

t2=\( \frac{8-\sqrt{74}}{4}(t2<O)(neglected)\)

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Answer:

I HOPE IT WILL HELP YOU A LOT.

Have a great day ahead.

240=w+369

w = -129

(moving)

Answer:

Im pretty sure its 77

Step-by-step explanation:

Answer: its 32

Step-by-step explanation:

Answer:

i need data

Step-by-step explanation:

We will have obtuse-angled triangle if it has an obtuse angle which measures more than 90 degrees but less than 180 degrees

What are interior angles?

An Interior Angle is an angle inside a shape.

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90 degrees.

In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Here, the triangle ABC is an obtuse triangle, as ∠A measures more than 90 degrees. Since, ∠A is 120 degrees, the sum of ∠B and ∠C will be less than 90° degrees.  

In the above triangle, ∠A + ∠B + ∠C = 180° (because of the Angle Sum Property)

Since ∠A = 120°, therefore, ∠B + ∠C= 60°.  

Hence, if one angle of the triangle is obtuse, then the other two angles with always be acute.

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The height, in inches, of the entertainment center is 32 inches while other dimensions are 16 inches.

The volume of the unit will be the product of length, depth and height. Now the depth will be 2x. Based on this, performing the calculation to find the value of x.

Volume = length × depth × height

8192 = x × x × 2x

Performing multiplication on Right Hand Side of the equation

8192 = 2x³

Rewriting the equation according to x

x³ = 8192/2

Performing division on Right Hand Side of the equation

x³ = 4096

Taking cube root on Right Hand Side of the equation

x = \( \sqrt[3]{4096} \)

x = 16 inches

Height = 2×16

Performing multiplication on Right Hand Side of the equation

Height = 32 inches

Thus, length and depth are 16 inches and height is 32 inches.

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Answer:

23.333....

Step-by-step explanation:

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

Answer:

80

Step-by-step explanation:

3/5 out of 200 students = like to play cricket

This means 2/5 of 200 students do not like to play cricket.

2/5 x 200 = 80

80 people do not enjoy playing cricket.

Hope this makes sense.

The slope is -i√3 / 54.

How to find dy/dx?

We can find dy/dx by taking the derivative of both sides of the given equation with respect to x, using the chain rule:

2(x^4-3(2y^3)^2)(4x^3-3(2y^3) * 6y^2 dy/dx) = 0

Simplifying and solving for dy/dx, we get:

dy/dx = (4x^3) / (9y^2 sqrt(x^4 - 12y^6))

To find dy/dx at the point (1,4), we substitute x=1 and y=4 into the equation above:

dy/dx = (4(1)^3) / (9(4)^2 sqrt((1)^4 - 12(4)^6))

dy/dx = 4 / (9(16) sqrt(-3072))

dy/dx = 4 / (9(16i√3))

dy/dx = -i√3 / 54

Therefore, at the point (1,4), the slope of the curve defined by the equation (x^4-3(2y^3)^2) = -338 is dy/dx = -i√3 / 54.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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The number that cannot be a factor of AB is 20.

What is prime factorization?

The process of determining which prime numbers combine to form the original number is known as "prime factorization."

The prime factorization of 44 is 2211, and the prime factorization of 27 is 333.

Therefore, A could be any of the factors of 44, which are 1, 2, 4, 11, 22, and 44. Similarly, B could be any of the factors of 27, which are 1, 3, 9, and 27.

To find which number cannot be a factor of AB, we need to consider all the possible combinations of A and B and their factors. The product of A and B will have all the prime factors of A and B.

The prime factorization of AB will include 2, 3, and 11.

Therefore, the number that cannot be a factor of AB is 20.

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The fraction of recipes she would have tried in the book after 1 year is 13/125.

It is required to find the the fraction of recipes.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Total recipes in the book= 1,000

Recipe tried each week = 2

We have to find the fraction of recipe she would have tried after 1 year.

We know that there are 52 weeks in 1 year.

Total recipe she tried in a year

=total number of  weeks in a year*number of recipe tried each week

=52*2

=104

fraction of recipe she would have tried after 1 year

=104/1000

=13/125

Therefore, the fraction of recipes she would have tried in the book after 1 year is 13/125.

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The following information, taking into account the union and intersection of the different elements given would be displayed in a Venn Diagram:

A Venn diagram for this information would have three circles, each representing one of the cable subscriptions (Cable Cinema, Cable Box Sets, Cable Sports).

The intersections of the circles would represent the customers who have more than one subscription.

The numbers inside the intersections represent the number of customers with that combination of subscriptions, and the numbers outside the intersections represent the number of customers with only that one subscription.

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Answer:

X = 8

Step-by-step explanation: So First Yu Will Add 4 On Both Sides Like Dis 2x - 4 + 4 = x + 4 + 4 Den Yu Will Simplify Which Is 2x = x + 8 After Yu Gonna Subtract x from both sides 2x - x = x + 8 - x and After Yu Got Yur Anwser Which Will B X = 8 Yur Done...

HOPE DIS HELPS YU

Answer:

A

Step-by-step explanation:

(Edit: 8*2= 16, 4*2= 8 the second rectangle is multiplied by 2!)

Answer: Answer: A yes they are similar

Step-by-step explanation:

lmk if i got it right :)

Answer:

180 ft2

Step-by-step explanation: Trust (mark as brainliest)

Surface area of the ramp is 240ft².

"Surface area is defined as the total area covered by the surfaces of the 3 dimensional object."

Formula used

Area of the triangle = ( 1/ 2) ×base × height

Area of the rectangle = length × width

Total surface area

= 2(Area of triangular base)+Area of (rectangle1 + rectangle2 +rectangle3)

According to the question,

Given,

Ramp is in triangular prism shape

As given in the diagram,

Base of the triangle = 5ft

height of the triangle = 12ft

Substitute the value in the formula we get,

Area of the triangular base = (1 / 2) × 5 ×12

                                             = 30 ft²

Area of the 2triangular base = 2 × 30

                                               = 60ft²  ____(1)

length of rectangle1 = 6ft

width of rectangle 1 = 5ft

Substitute the value in the formula we get,

Area of the rectangle1 =  6 × 5

                                     = 30 ft²   _____( 2)

length of rectangle2 = 6ft

width of rectangle 2= 12ft

Substitute the value in the formula we get,

Area of the rectangle2 =  6 × 12

                                     = 72 ft²  _____(3)

length of rectangle3= 6ft

width of rectangle 3 = 13ft

Substitute the value in the formula we get,

Area of the rectangle3=  6 × 13

                                     = 78 ft²    _____(4)

Add  (1) , (2), (3) and (4) we get,

Total surface area = 60 + 30 +72 +78

                               = 240 ft²

Hence, surface area of the ramp is 240ft².

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Answer:

98

Step-by-step explanation:

From the statement of similarity, we can write this proportion.

TV/MV = UV/LV

28/x = 16/56

16x = 28 × 56

x = 7 × 14

x = 98

When the car initially goes at 54 ft/sec and comes to a stop in 5 seconds with constant negative acceleration, it travels a distance of 67.5 feet. When the initial velocity is doubled to 108 ft/sec, the car travels a distance of 135 feet before stopping.

To graph the velocity of the car over time, we first need to determine the equation that represents the velocity. Given that the car initially goes at 54 ft/sec and comes to a stop in 5 seconds with constant negative acceleration, we can use the equation of motion:

v = u + at

where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

For the first scenario, with an initial velocity of 54 ft/sec and coming to a stop in 5 seconds, the acceleration can be calculated as:

a = (v - u) / t

a = (0 - 54) / 5

a = -10.8 ft/sec^2

Therefore, the equation for the velocity of the car is:

v = 54 - 10.8t

To graph the velocity, we plot the velocity on the y-axis and time on the x-axis. The graph will be a straight line with a negative slope, starting at 54 ft/sec and reaching zero at t = 5 seconds.

The distance traveled by the car before stopping can be determined by calculating the area under the velocity-time graph. Since the graph represents a triangle, the area can be found using the formula for the area of a triangle:

Area = (base × height) / 2

Area = (5 seconds × 27 ft/sec) / 2

Area = 67.5 ft

Therefore, the car travels a distance of 67.5 feet before coming to a stop.

In the second scenario, where the initial velocity is doubled, the new initial velocity would be 2 × 54 = 108 ft/sec. The acceleration remains the same at -10.8 ft/sec^2. Using the same equation for velocity:

v = 108 - 10.8t

Again, we can calculate the area under the velocity-time graph to determine the distance traveled. The graph will have the same shape but a different scale due to the doubled initial velocity. Thus, the distance traveled in this scenario will be:

Area = (5 seconds × 54 ft/sec) / 2

Area = 135 ft

Therefore, when the initial velocity is doubled, the car travels a distance of 135 feet before coming to a stop.

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The given Hoare partition algorithm is a method used to partition the given array A[p..r] into two parts based on a pivot element x in O(n) time complexity and O(1) space complexity.Algorithm: Hoare-Partition (A, p, r)1. x = A[p]2. i = p-1, j = r+13. while True do4. repeat j = j-1 until A[j] <= x5. repeat i = i+1 until A[i] >= x6. if i < j then exchange A[i] with A[j]7. else return jThe above algorithm is a recursive approach to quicksort, which is a widely used sorting algorithm.

The algorithm partitions the given array A[p..r] into two sections, each of which contains elements smaller than or equal to the pivot element x in the left section and elements larger than or equal to the pivot element x in the right section. The index j returned by the algorithm is used to partition the array further into subarrays, each of which is sorted recursively using the Hoare partition algorithm.

Here, the partitioning takes place using two indices, i and j, which move in opposite directions, eventually ending at the partition element. The algorithm runs an outer loop that runs indefinitely until the inner loops stop swapping the elements. The inner loops run until they find elements to swap to the other side of the partition.Here, i is incremented until it points to an element that is greater than or equal to the partition element. Similarly, j is decremented until it points to an element that is less than or equal to the partition element. If i is less than j, then the elements are swapped, and the loop continues until it stops swapping elements.Finally, the partition index j is returned, and the partitioned array is recursively sorted.

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The solution to the initial value problem can be written in the form:

y(x) = (1/K)∫|sin(5x)|⁵ (3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

To solve the initial value problem and find the solution y(x), we can use the method of integrating factors.

Given: dy/dx + 5cot(5x)y = 3x³ - csc(5x), y = 0

Step 1: Recognize the linear first-order differential equation form

The given equation is in the form dy/dx + P(x)y = Q(x), where P(x) = 5cot(5x) and Q(x) = 3x³ - csc(5x).

Step 2: Determine the integrating factor

To find the integrating factor, we multiply the entire equation by the integrating factor, which is the exponential of the integral of P(x):

Integrating factor (IF) = e^{(∫ P(x) dx)}

In this case, P(x) = 5cot(5x), so we have:

IF = e^{(∫ 5cot(5x) dx)}

Step 3: Evaluate the integral in the integrating factor

∫ 5cot(5x) dx = 5∫cot(5x) dx = 5ln|sin(5x)| + C

Therefore, the integrating factor becomes:

IF = \(e^{(5ln|sin(5x)| + C)}\)

= \(e^C * e^{(5ln|sin(5x)|)}\)

= K|sin(5x)|⁵

where K =\(e^C\) is a constant.

Step 4: Multiply the original equation by the integrating factor

Multiplying the original equation by the integrating factor (K|sin(5x)|⁵), we have:

K|sin(5x)|⁵(dy/dx) + 5K|sin(5x)|⁵cot(5x)y = K|sin(5x)|⁵(3x³ - csc(5x))

Step 5: Simplify and integrate both sides

Using the product rule, the left side simplifies to:

(d/dx)(K|sin(5x)|⁵y) = K|sin(5x)|⁵(3x³ - csc(5x))

Integrating both sides with respect to x, we get:

∫(d/dx)(K|sin(5x)|⁵y) dx = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

Integrating the left side:

K|sin(5x)|⁵y = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

y = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

Step 6: Evaluate the integral

Evaluating the integral on the right side is a challenging task as it involves the integration of absolute values. The result will involve piecewise functions depending on the range of x. It is not possible to provide a simple explicit formula for y(x) in this case.

Therefore, the solution to the initial value problem can be written in the form: y(x) = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

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The total number of individuals in the development area is 2240 kg/day.

The volume of waste produced by a single family per week is 0.91 containers/family

i) The total number of individuals in the development area is calculated as:
350 x 8 = <<350*8=2800>>2800

individuals' total waste produced by the development area is calculated as:

0.8 kg/capita/day x 2800 individuals = <<0.8*2800=2240>>2240 kg/day

Answer: 2240 kg/day

ii) Volume of waste produced by a single family per week is calculated as:

0.4 kg/person/day x 8 persons x 7 days = <<0.4*8*7=22.4>>22.

4 kg/week

The density of waste in each container is 210 kg/m3.

The volume of waste generated by each family each week is calculated as:22.4 kg/week ÷ 210 kg/m3 = 0.107 m3/family

The number of 118 L containers required for each family is calculated as:

0.107 m3/family ÷ 0.118 m3/container = <<0.107/0.118

=0.91>>0.91 containers/family (rounded to two decimal places)

Answer: 0.91 containers/family

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Answer:

164 Cm^3

Step-by-step explanation:

Solution

V=

3

3

2

a

2

h

=

3

3

2

3

2

7

≈

163.6788

Answer:

\(x=65\)

Step-by-step explanation:

Area of a triangle is always 180 degrees...

In this triangle we have two values given, lets make an equation & solve it:

\(x+68+47=180\)

\(x+115=180\)

\(x=180-115\)

\(x=65\)

To check if you have the right answer, add all the angles to get 180:

\(68+47+65=180\)

Therefore, x = 65

I hope this help :)

\(\huge\bold{Given :}\)

Angle ABC = \(x\)

Angle BAC = 68°

Angle BCA = 47°

\(\huge\bold{To\:find :}\)

The measure of angle ABC \(''x"\).

\(\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}\)

\(\longrightarrow{\green{x\:=\:65°}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

We know that,

\(\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}\)

➪ ∠ ABC + ∠ BAC + ∠ BCA = 180°

➪ \(x\) + 68° + 47° = 180°

➪ \(x\) + 115° = 180°

➪ \(x\) = 180° - 115°

➪ \(x\) = 65°

Therefore, the measure of ∠ ABC is 65°.

Hence, the three angles of the triangle are 65°, 68° and 47° respectively.

\(\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}\)

∠ ABC + ∠ BAC + ∠ BCA = 180°

✒ 65° + 68° + 47° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

\(\boxed{Hence\:verified.}\)

(Note:- Kindly refer to the attached file.)

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}\)

Answer:

1/6

Step-by-step explanation: