UVWX~QRST.39WXUV31STQRWhat is the similarity ratio of UVWX to QRST?Simplify your answer and write it as a proper fraction, improper fraction, or whole number.Submit

Answer:The acceleration that an objects gains is given by the mass of the object.

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Reason:

The given parameters are;

The acting force ∝ The acceleration of the object.

The acceleration given by an amount of force, F, of 18 N = 6 m/s²

Required:

The force acting on the object acceleration, a, is 5 m/s².

Solution:

According to Newton's Second Law of motion, we have;

F = m·a

Where;

m = The mass of the object

Therefore, we have;

From the conditions, F = 18 N, when a = 6 m/s², we have, the mass of the

given object is given as follows;

The force acting when the the acceleration, a = 5 m/s², is therefore;

F = 3 kg × 5 m/s² = 15 N

If the acceleration of the object becomes 5 m/s² the force is 15 N.

Step-by-step explanation:

Answer:

B & D

Step-by-step explanation:

If you do 30x10 it would equal 300

So that wouldn't be it. If you do 49x100 that will equal 4,900 which is correct. If you do 40x600 that would equal 24,000 which is also incorrect. The last one is correct because 400x80 is 32,000

(Your welcome!)

Answer:

Conclusion

     We can conclude that the believe of the  mangers of the regional banks is true

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  200

    The  mean for  Regular user is  \(\= x_1 = 143\)

    The mean for Non regular  is  \(\r x_2 = 133\)

   The standard deviation for  Regular is  \(\sigma_1 = 30\)

    The standard deviation for Non regular  is \(\sigma _2 = 34\)

   The level of significance is  \(\alpha = 0.0 5\)

The null hypothesis is

       \(H_0 : \r x_1 = \r x_2\)

The alternative hypothesis is  

      \(Ha: \r x_1 > \r x_2\)

The test statistics is mathematically represented as

        \(Z = \frac{\r x _1 - \r x_2}{\sqrt{\frac{\sima_1^}{n} } + \frac{\sigma_2^2}{n} }\)

substituting values

        \(Z = \frac{143 - 133}{\sqrt{\frac{30^2}{200} } + \frac{34^2}{200} }\)

      \(Z = 3.12\)

Now the critical value of the level of significance obtained from the z-table is

      \(t_{\alpha } = 1.645\)

 So given the fact as seen from the above calculation that  \(Z > t_{\alpha }\)

Then the Null hypothesis would be rejected as there is no sufficient evidence to back up the null hypothesis  [Which stated that the profit from both users are the same ]

The measure of the unknown sides is equivalent to 12.6

The given figure is a circle geometry with the perpendicular lines intersecting both segments of the circle.

We need to determine the measure of x. Since the measure of the perpendicular lines are equal, hence the measure of the line of the segments will also be equal.

Hence:

x = 6.3 + 6.3

x = 12.6

Therefore the measure of x from the given diagram is equivalent to 12.6

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The graph of the function is attached below.

The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.

Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.

We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.

In the given problem;

The graph of the function f(x) = 1 + x / x² - 1 is attached below;

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Answer:

12

Step-by-step explanation:

The division of 36 and 3 is 12. Therefore, option C is the correct answer.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

The given numbers are 36 and 3.

36 divided by 3

Here, 36/3

Where, 36 is dividend and 3 is divisor.

36/3 = 12

So, quotient is 12

Therefore, option C is the correct answer.

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The value of x in the equation 3/5(4x+1)=3(2-4x)+9 is

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3/5(4x+1)=3(2-4x)+9

multiply through by 5

3( 4x+1) = 15(2-4x) + 45

12x +3 = 30-20x +45

collect like terms

12x+20x.= 30+45-3

32x = 72

x = 72/32

x = 2 8/32

x = 2 1/4

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Answer:

It is a known fact that there are rectangular prisms with the same volume but different dimensions.

Luis traveled approximately 31,736.8 inches on his bicycle.

We have,

To find the distance that Luis traveled on his bicycle, we need to calculate the circumference of the tires and then multiply it by the number of complete turns.

Given:

Radius of the tires (r) = 20p (2.54) inches

Number of complete turns (n) = 50

The circumference of a circle can be calculated using the formula:

Circumference = 2πr

Substituting the given radius into the formula, we have:

Circumference = 2π * (20p) inches

Now we can calculate the distance traveled (d):

Distance = Circumference x Number of complete turns

Distance = 2π x (20p) x 50 inches

To simplify the calculation, we can approximate π as 3.14:

Distance ≈ 2 x 3.14 x (20 x 2.54) x 50 inches

Calculating this expression, we find:

Distance ≈ 31736.8 inches

Therefore,

Luis traveled approximately 31,736.8 inches on his bicycle.

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The complete question.

What is the distance that Luis traveled on his bicycle rolled 20p (2.54) after the tires gave 50 complete turns

Answer:

ITS 95

Step-by-step explanation:

TRY CALCULATING IT

sorry i don't know

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Answer:

3375 is the answer.

Step-by-step explanation: 8500- 1025=7475

so 1025 is every to years so we need to subtract 7475-1025-1025-1025-1025 so each 1025 is 2 yrs.

I hope this works :)

Graph is on the picture.

hope ot helps.

Answer:

A. 17.5

B. yes

Step-by-step explanation:

7/10=.7 page a minute

25*.7=17.5 pages in 25 minutes

B

she reads .7 pages a minute

2>.7

Answer:

Part A- 17.5 pages. Part B- Yes as he reads 20 pages as you want to have a the same amount as minutes so 1x10 is 10 and you want to do the same with 2 so 2x

10 is 20.

Step-by-step explanation:

Part A- 10 min-7 pages

5min-3.5 pages

7x2=14+3.5=17.5

Answer:

Part 1: -10, -5, 0, 8 Part 2: -3/2, -15%, 0.80, 143%, 2 1/4

Step-by-step explanation:

Part 1: The lower the number, the lower the temperature
Part 2: Convert the fractions into decimals

2 1/4 = 2.25
-15% = -0.15
143% = 1.43
-3/2 = -1.5
0.80 = 0.80
The order from least to greatest is -3/2, -15%, 0.80, 143%, 2 1/4
Hope this helps :)

\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

The general equation of ellipse is :

\(\qquad \sf  \dashrightarrow \: \cfrac{ {x}^{2} }{ {a}^{2} } + \cfrac{ {y}^{2} }{ {b}^{2} } = 1\)

[ because it's a horizontal ellipse with centre at origin ]

so, let's equate given equation with the standard equation ~

\(\qquad \sf  \dashrightarrow \: \cfrac{ {x}^{2} }{64} + \cfrac{ {y}^{2} }{36} = 1\)

se get :

As we know, length of minor axis is : 2b = 2 × 6 = 12 units

and, the smaller circle has diameter = 2b = 12 units

so, it's radius = 6 units ~

Now, let's write the equation of circle with origin as centre and radius = 6 units

\(\qquad \sf  \dashrightarrow \: {(x - h)}^{2} + (y - k) {}^{2} = {r}^{2} \)

[ h = 0, k = 0, since circle has centre at origin ]

\(\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} = 36\)

Answer:

\(x^2+y^2=36\)

Step-by-step explanation:

Equation of the red eclipse (taken from your previously posted question):

\(\dfrac{x^2}{64}+\dfrac{y^2}{36}=1\)

General equation of an ellipse

\(\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1\)

where:

As the center of the red ellipse is (0, 0) ⇒ h = 0, k = 0.

\(\implies a^2=64 \implies a=\sqrt{64}=\pm8\)

\(\implies b^2=36 \implies a=\sqrt{36}=\pm6\)

The Major Axis is the longest diameter of an ellipse.

Therefore, using the formula for the vertices, the vertices of the major axis of the red ellipse are (8, 0) and (-8, 0).

The Minor Axis is the shortest diameter of an ellipse.

Therefore, using the formula for the vertices, the vertices of the minor axis of the red ellipse  (0, 6) and (0, -6).

Therefore, the radius of the larger circle is 8 units and the radius of the smaller circle is 6 units (half the respective axis, since the radius of a circle is half its diameter).

Equation of a circle

\((x-a)^2+(y-b)^2=r^2\)

(where (a, b) is the center and r is the radius)

Given:

The equation of the smaller circle is:

\(\implies (x-0)^2+(y-0)^2=6^2\)

\(\implies x^2+y^2=36\)

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The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

From the graph, the x coordinate 2, have a y coordinate of 120. Hence:

The meaning of the point with an x-coordinate of 2 is in 2 seconds, the commuter travels 120 feet.

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Using expression 3 x 14, The rate chart will be

Number of Scoops of Coffee Grounds 18 24 30 36 42.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and operations (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical phrase or idea. Expressions can be simple or complex and may involve functions, trigonometric functions, logarithms, and other mathematical operations.

Now,

To find the number of scoops of coffee grounds needed for 14 pots of coffee, we can use proportional reasoning and set up a proportion:

Number of scoops of coffee grounds / Number of pots of coffee = 18 / 6

Simplifying the fraction on the right side of the equation gives us:

Number of scoops of coffee grounds / Number of pots of coffee = 3

To solve for the number of scoops of coffee grounds needed for 14 pots of coffee, we can multiply both sides of the equation by 14:

Number of scoops of coffee grounds / Number of pots of coffee = 3

Number of scoops of coffee grounds / 14 = 3

Number of scoops of coffee grounds = 3 x 14

Number of scoops of coffee grounds = 42

So the completed rate chart is:

Number of Pots of Coffee 6 8 10 12 14

Number of Scoops of Coffee Grounds 18 24 30 36 42.

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Answer:

8  5/648

Step-by-step explanation:

y = 5x ^ -3 + 4x^2

dy /dx = 5 * -3 x^ -4 + 4 * 2x ^ 1

           = -15 x ^ -4 + 8x

Now take the second derivative

dy^2/ dx^2 = -15  * -4 x^-5 +8

                   = 60 x^ -5 +8

                   = 60 /x^5   +8

Evaluate at x = 6

                   = 60 / 6^5  +8

                    60/7776 +8

                   5/648 + 8

                  8  5/648

5 x 3²⁴  bacteria will there be after one day.

What is exponents?

Exponentiation could be a calculation, written as bⁿ, involving 2 numbers, the bottom b and also the exponent or power n, and pronounced as "b to the n".

Consider what is actually happening in the question.

You begin with 5 bacteria, and after 1 hour it has tripled so you now have

5x 3=15.

Next hour, it triples again so you now have 5 x 3 x 3=45

You can see the pattern shows that the number of bacteria is multiplying every hour by a factor of 3. An exponent denotes how many times we are multiplying a number by itself, for example: 3⁴  means we are multiplying the number 3 a total of 4 times (3 x 3 x 3 x 3).

Therefore the question is requiring us to triple the number of bacteria every hour for 24 hours, which means we are multiplying by 3 a total of 24 times. This gives us:

n x 324 where n is the number of bacteria you begin with.

Since you begin with 1 bacteria, the solution is 5 x 3²⁴.

Hence 5 x 3²⁴  bacteria will there be after one day.

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Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Total sold at 4 games: 523 + 604 + 544 + 596 = 2,267

Mean is the average, multiply mean by total games to find total sold:

573 x = 5 = 2,865 total

Now subtract for the amount sold at the 5th game:

2865 - 2267 = 598 hotdogs sold at 5th game.

9514 1404 393

Answer:

  60°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°. The interior angle adjacent to x will have measure 180°-x. So, the equation can be written ...

  100° +50° +90° +(180° -x°) = 360°

  420° -x° = 360° . . . . simplify

  x = 420 -360 . . . . . . divide by °, add x-360

  x = 60

Answer:

Step-by-step explanation:

r² means the length of the radius is multiplied by itself.

It is also a clue that area is expressed in square units.

Answer:

1. 27669.1 g

2. 110 kg

The fraction 31/72 = (1 × 31)/(1 × 72) = 31/72

5/8 = (9 × 5)/(9 × 8) = 45/72

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Answer:

What do you mean please be more specific

Step-by-step explanation:

A rectangle has a width that is 16 feet shorter than its length and an area that is 35 square feet. The rectangle's length and breadth can be calculated using the equation \(3x^2\) - 16x - 35 = 0.

Assume that the rectangle measures "x" feet in length. Then, according to the problem:

The width is 16 feet less than 3 times the length, so the width is 3x - 16 feet.

The area of the rectangle is 35 square feet, so we can write:

Area = Length x Width

35 = x(3x - 16)

To solve for x, we can simplify this quadratic equation by expanding the right-hand side and moving all the terms to one side:

35 = \(3x^2\) - 16x

\(3x^2 - 16x - 35 = 0\)

The rectangle's length and breadth can be calculated using the quadratic equation shown above.

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