An object is moving east, and it’s velocity changes from 65 m/s to 25 m/s in 10 seconds.which describes acceleration

1. The value of the unit rate is (4/3) gallons per minute.

2. The equivalent rate for 4 minutes is 16/3 gallons.

3. There will be 64/3 gallons of liquid in the container after 4 minutes.

Given that;

A liquid storage container is being filled at a constant rate.

The container is being filled at a rate of 1/3 gallon per 1/4 minute.

The unit rate is given as one-third gallon over one-fourth minute.

To convert this to the rate per minute, use the concept of dividing fractions.

Unit rate = (1/3 gallon) × (1/4 minutes)

               = (4/3) gallons per minute

To find the equivalent rate for 4 minutes, multiply the unit rate by 4:

Equivalent rate = (4/3 gallons per minute) × 4 minutes

                         = (16/3) gallons

So, the equivalent rate for 4 minutes is 16/3 gallons.

To find the amount of liquid in the container in 4 minutes, multiply the equivalent rate by 4:

Liquid in the container = (16/3 gallons) × 4 minutes

                                      = 64/3 gallons

Therefore, there will be 64/3 gallons of liquid in the container after 4 minutes.

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By using the concept of rate of change, we determine that in 4 minutes the container will hold approximately 3.71 gallons of liquid.

The student's question is a problem related to rate of change, specifically dealing with how units of volume (in this case, gallons) change over time (in this case, minutes). The given rate of change in the problem is 13 gallons per 14 minutes. To find the equivalent rate for 4 minutes, we use the principle of equivalency in ratios. Since 14 minutes equals 13 gallons, let's see how much will 1 minute equals in gallons, for that we divide 13 gallons by 14 minutes which gives approximately 0.929 gallons per minute. To find the liquid in the container in 4 minutes, we multiply the rate per minute by 4 which gives us approximately 3.71 gallons.

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When an algorithm necessitates extensive sharing of instantaneous results, parallelism slows it down. Because there are multiple independent parallel processes and the right number of threads, parallelism will speed up an algorithm.

The ones with data dependencies are the most challenging. It will be exceedingly challenging, for instance, if you are dealing with a vector and the input for the computation at point n depends on the output at position n-1.

When this occurs, you must comprehend what the original algorithm is doing and take an alternative approach. For the aforementioned case, it might be a difficulty with digital signal processing including a feedback-containing digital filter. These are challenging to parallelize, but that is not the sole solution. Instead, you might use the filter and signal's fast Fourier transforms, multiply them, and then perform the inverse transform. All of these operations can be partially parallelized.

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The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

Answer:

Step-by-step explanation:

outer area=

first need to find the circumference of outer diameter

= π×4.8

= 15.079644.... cm

to find the outer curved area you would then do

= 77×15.079644

(ii) =1161.13264 cm²

inner curve area

circumference= π×4

=12.5663706.... cm

77×12.5663706

(i) =967.610537 cm²

total surface area=

as the outer and inner curved areas are already found only the top and bottom surfaces need to be

= area of larger circle

=π×4.8²

=72.382294.... cm²

smaller circle

=π×4²

=50.2654824.... cm²

72.382...-50.265

=22.1168116 x 2

=44.2336232 cm²

total surface area

(iii)= 2172.9768 cm²

(round this to however many decimals you need)

I hope this is understandable and useful!

also how many marks is this for?

We can make 5 pies with one pack of apples as the number of pies should be an integer.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A bushel of apples weighs about 42 pounds and there are four packs in a bushel.

So, The weight of one pack of apples is (42/4) = 10.5 pounds.

Now, It takes 2 pounds of apples to make one pie,

Therefore, We can make (10.5/2) = 5.25 pies but we can only make 5 pie from one pack of apples.

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When researching, here is where each aspect of an index card should be placed: Match the letter that corresponds to one of the items below to the correct location (1,2,3,4,5) on an index card.A.

Title of card (aspect of subject) - (2) This should be the center or topmost part of the index card. It should be clear and concise enough to reflect what is contained in the index card.B.

Source Number - (4) This is the number allocated to each source in your reference list.C. Page Number - (3) This refers to the page number(s) where the information was sourced from. It is usually written on the top right or left corner of the index card.D.

Quotation - (1) This refers to the exact words that were used in the source materials and is written verbatim. This is usually written in quotation marks.E.

Paraphrase - (5) This refers to rewording a particular section of information in your own words without changing its meaning. The paraphrase should be accurate, concise, and written in a sentence format.

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Answer:

6.16

Step-by-step explanation:

Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

Slope:- -1/3

y-intercept:-  2

Hope it helps.

Do comment if you have any query.

Answer:

Slope: -1/3

Y-intercept: 2

Explanation:

The equation y = 2 - 1/3x is in slope-intercept form.

The format of slope intercept is y = mx + b, where m = slope and b = y-intercept.

The slope is the coefficient of x.

Hence, the slope of y = 2 - 1/3x is -1/3.

As for the y-intercept, that is the constant.

The constant in y = 2 - 1/3x is 2. Hence, the y-intercept is 2.

Answer:

4x

Step-by-step explanation:

2 X 2x = 2x+2x= 4x

Answer:

4x

Step-by-step explanation:

So when you multiply 2×2=4

And since it's multiplication you can add the x to it giving you 4x(if it's addition you can't add them because they aren't like terms)

Answer:

28.21

Step-by-step explanation:

23.21 + (5)

28.21

the location of the g point is 3.

Two ratios are set to be equal in an equation called a proportion. You might express the ratio as 1: 3 for instance, if there is 1 boy and 3 girls.

Point G Partition the directed line segment form d to f into a

5:4 ratio

so,

g - d = (5/9) x (f - d)

We have that d = -2 and f = 7, Therefore

g - d = (5/9) x (f - d)

g + 2 = (5/9) x (7 + 2)

g + 2 = 5

g = 3

Therefore the location of the g point is 3.

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Answer: OPTION D

Step-by-step explanation:

The space inside the cylinder but outside the inscribed cone has a volume of 36π cubic centimeters.

Let's assume the radius of the cone is r and the height is h. Since the cone is inscribed in the cylinder, the base radius of the cone is equal to the radius of the cylinder, and the height of the cone is equal to the height of the cylinder.

The volume of a cylinder is given by V_cylinder = π\(r^2\)h, and in this case, we are given that the volume of the cylinder is 72π cubic centimeters.

72π = π\(r^2\)h

Simplifying the equation, we have:

\(r^2\)h = 72

Now, the volume of a cone is given by V_cone = (1/3)π\(r^2\)h. Since the cone is inscribed in the cylinder, its base radius and height are the same as that of the cylinder.

The volume of the space inside the cylinder but outside the cone is the difference between the volume of the cylinder and the volume of the cone:

V_space = V_cylinder - V_cone

Substituting the values, we have:

V_space = π\(r^2\)h - (1/3)π\(r^2\)h

Simplifying further, we get:

V_space = (2/3)π\(r^2\)h

Since \(r^2\)h = 72 from the earlier equation, we can substitute this value:

V_space = (2/3)π(72)

V_space = 48π

Therefore, the space inside the cylinder but outside the cone has a volume of 48π cubic centimeters, or 36π cubic centimeters after simplification.

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Answer:

y = -2x -3

Step-by-step explanation:

If a line is perpendicular to another line, it means that the gradient of the new line (one that is perpendicular) is going to be the negative reciprocal of the old one.

Reciprocal means that it is flipped. So 1/2 would be 2 and 5 would be 1/5

Answer:

3

Step-by-step explanation:

Volume of sphere:

4/3 * pi * r^3

Surface Area of Sphere:

4 * pi * r^2

So if V = SA

4/3 * pi * r^3 = 4 * pi * r^2

4/3 * pi * r^3 = 4 * pi * r^2

1/3 * r^3 = r^2

1/3 * r = 1

r = 3

Volume is a three-dimensional scalar quantity. The radius of the ball is equal to 3 units.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the sphere is given by the formula,

V = (4/3)πR³

The surface area of the sphere is given by the formula,

Surface area = 4πR²

Also, it is mentioned that the numerical value of the volume in cubic inches was the same as the numerical value of the surface area in square inches. Therefore,

(4/3)πR³ = 4πR²

R³/3 = R²

R = 3

Hence, the radius of the ball is equal to 3 units.

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Maryam received a 71% overall exam percentage score due to her performance on Paper 1, which is worth more points than Paper 2.

We must determine the weighted average of Maryam's results on each paper in order to determine her overall exam % score. We may weight Maryam's results appropriately since Paper 1 accounts for 60% of the total marks and Paper 2 for 40% of the total marks:

Overall percentage score: (65%) = 0.6; (80%) = 0.4.

= 0.6 × 0.65 + 0.4 × 0.80 (converting percentages to decimals) (converting percentages to decimals)

= 0.39 + 0.32

= 0.71

Maryam received a 71% overall exam percentage score as a result. Thus, she performed 71 out of 100 in the test. Given that Paper 1 is worth more points than Paper 2, Maryam's performance on Paper 1 will have a bigger impact on her final score because of the weightings utilized in this computation.

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Complete question is:

An exam is made of two papers that score differently.

Paper 1 has 120 marks.

Paper 2 has 80 marks.

Maryam scores:

65% on Paper 1

80% on Paper 2

Work out Maryam TOTAL percentage score for the exam. You must show your working

The weight of all 40 apples in the second box is : 144 x 40 = 5760 (g)

The total weight of all 90 apples in both boxes : 5760 + 6300 = 12060 (g)

To find the mean weight of an apple in the big container, we take the total weight of both boxes (12060) divided by the total amount of quantities (apples in both boxes)

So, the mean weight of an apple in the big container is 12060 : 90 = 134(g)

Answer:

=5r+12

Step-by-step explanation:

Hope this helps :)

177+3-5y+19+10z

Coefficients are numbers being multiplied by a variable.(example:4 in 4a)

Find terms with variables.

-5y and 10z

So the coefficients are -5 and 10.

hope it helps!

Answer:

its B!!

Step-by-step explanation:

I took the test and got it wrong but the review said it was B

Step-by-step explanation:

2x-6: 6x-4

Use any value to represent x

Let's use 1

2(1)-6: 6(1)-4

2-6 : 6-4

-4 : 2

Write in simplest form by dividing by 2

-2:1

Now do the same in all the answers above, use 1 for the value of x

1. - 2:1 is equivalent

2. 1-3 : 3(1)-2 = - 2:1 Equivalent

3. 3(1) : 1 = 3 :1 not equivalent

4. 4(1) - 12 : 12(1) - 8 = - 8 : 4 (

Simplify by dividing by 4, you get - 2 :1 equivalent

5. 1-1 : 1 - 2 = 0 : - 1 not equivalent

Answer

-8x^2+14x+14

Step-by-step explanation:

instructions included above :)

Answer:

-2(4x-3)(x-1)

or -8x²+14x-6

Step-by-step explanation:

(-8x²+10x+4)-(-4x+10)

-8x²+10x+4+4x-10

Combine like terms:

-8x²+14x-6

Answer:

23

Step-by-step explanation:

Women total age = 5 x 23 = 115

Men total age = 3 x 24 = 72

The mean age of all the people

= (115+72)÷(8)

= 23.375

= 23 (nearest year)

The mean age (nearest year) of all the people in the office is 23

The given parameters are:

5 women = 23 years

3 men = 24 years

Mean is calculated using:

\(\bar x = \frac{\sum fx}{\sum f}\)

So, we have:

\(\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}\)

Evaluate the quotient

\(\bar x = 23\)

Hence, the mean age (nearest year) of all the people in the office is 23

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A solution of NaOH is a really strong base, so, when it's dissolved in water to form a solution, it dissociates completely in it's ions: and its

pH = 14.8344 and rounded it will be 14.8

it dissociates completely in it's ions:

NaOH -------> Na⁺ + OH⁻

So, to calculate the pH, we first need to calculate the OH concentration. As it was stated before, a strong base like this, it will dissociate completely so the concentration of OH will be the same concentration of NaOH:

[OH⁻] = 6.83 M

The pH is calculated with the following expression:

14 = pH + pOH

So, with the OH we can calculate the pOH, and then, the pH:

pOH = -log[OH⁻]

pOH = -log(6.83) = -0.8344

So the pH:

pH = 14 - pOH

pH = 14 - (-0.8344)

pH = 14.8344 and rounded it will be 14.8

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Answer:

20%

Step-by-step explanation:

10 of 50 can be written as:1050To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1001050 × 100100= (10 × 10050) × 1100 = 20100 Therefore, the answer is 20%

Answer:

Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes

Step-by-step explanation:

To find the equal number of cupcakes and juice boxes, you have to find the LCM(least common multiple)

12×1 = 12 ≠ 10 ×1 = 12

12×2 = 24 ≠ 10×2 = 20

12×3 = 36 ≠ 10×3 = 30

12×4 = 48 ≠ 10×4 = 40

12× 5 = 60 ≠ 10×5 = 50

12 × 5 = 60 = 10×6 = 60

Therefore, Rebecca would need to buy 5 packages of cupcakes and 6 packages of juice boxes

Hope this made sense!!!

Answer:

Step-by-step explanation:

(x−2)2+(y−1)2=9

This is the form of a circle. Use this form to determine the center and radius of the circle.

(x−h)2+(y−k)2=r2

Match the values in this circle to those of the standard form. The variable r

represents the radius of the circle, h represents the x-offset from the origin, and k

represents the y-offset from origin.

r=3

h=2

k=1

The center of the circle is found at (h,k)

.

Center: (2,1)

These values represent the important values for graphing and analyzing a circle.

Center: (2,1)

Radius: 3

There are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.

To find the values of k that allow us to factor the quadratic expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients, let's analyze the expression.

The quadratic expression is of the form \(ax^2 + bx + c\)  where a = 13, b = 13k, and c = -8

For factoring it as a product of linear binomials, we need to find two integers m and n such that (mx + n)(px + q) is equal to the given expression.

Expanding the product (mx + n)(px + q), we have:

\((mx + n)(px + q) = mpx^2 + (mq + np)x + nq\)

Comparing this with the given expression \(13x^2 kx - 8,\) we can deduce that mp = 13, mq + np = 13k, and nq = -8.

To find the values of k, we need to determine which values satisfy these conditions and allow us to find integer values for m, n, p, and q.

Considering the prime factorization of 13 and -8, we have \(13 = 13 \cdot 1\) and \(-8 = -1 \cdot 2^3\)

Case 1: m = 13 and p = 1

In this case, the condition nq = -8 becomes 13q = -8.

Since 13 is a prime number, there are no integer solutions for q.  

Thus, this case does not allow us to factor the expression with integer coefficients.

Case 2: m = 1 and p = 13

In this case, the condition nq = -8 becomes q = -8 and n = 1.

Therefore, we have mq + np = 13k, which simplifies to -8 + 13n = 13k. Solving for n, we get \(n = \frac{8 + 13k}{13}.\)

For the expression to be factored with integer coefficients, n must be an integer.

Hence, 8 + 13k must be divisible by 13.

It means 8 must be divisible by 13, which is not possible.

Therefore, there are no values of k that allow us to factor the expression \($13x^2 kx - 8$\) as a product of linear binomials with integer coefficients.

In summary, no values of k satisfy the conditions for factoring the expression \(13x^2 kx - 8\) as a product of linear binomials with integer coefficients.

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The complete question may be like: Consider the quadratic expression \($13x^2 kx -8.\)

We want to find values of k that allow us to factor it as a product of linear binomials with integer coefficients.

Determine all such values of k.

Answer:

i think its option b but im not sure