Speedie ran the 200 meter race in 25.5 seconds. How much of an hour did it take Speedie to run
the race? 1.0 hour = 3600.0 seconds

To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

Answer:

the value is 52

Step-by-step explanation:

pls brain list me

The solution of the expression is,

a) 3,724

b) 2,784

We have to given that,

a) Divide 70,756 by 19.

b) Subtract 940 from your answer to part a).​

Now, We can simplify as,

a) Divide 70,756 by 19.

⇒ 70,756 ÷ 19

⇒ 3,724

And, Subtract 940 from your answer to part a).​ that is, 3724

⇒ 3724 - 940

⇒ 2,784

Therefore, The solution of the expression is,

a) 3,724

b) 2,784

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we get the desired result after solving as 4603.8 .

In mathematics, the BODMAS rule is a rule or order that is used to condense arithmetic expressions with several operators. When an equation has multiple operators, we must first determine the correct order in which to solve the expression. The BODMAS rule is always  used to resolve the issue of using algebraic symbols.

For this type of problem,

We generally use BODMAS

Here,

B= Bracket

O= Off

D= Divide

M= Multiply

A= Addition

S= Subtraction

Given expression,

3,000 + 1,600 + 8/10 + 3

By following above steps we get,

First we going to divide,

3,000 + 1,600 + 0.8 + 3

Then we move to addition,

4603.8

Hence we get the desired result as 4603.8

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hello

the question presented asked of what is 45 x + 12 x

to solve this question, let's simply add the two entities totogether

(45 + 12)x = 57 x

Answer:

D

Step-by-step explanation:

RISE/RUN = slope

This slope will be POSITIVE because it rises in quadrant 1.

Rise=2, run=3

Slope= 2/3

Hope that helps

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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Angle b= 50

Angle c= 130

Complementary angles are two angles that add to equal 90

Supplementary angles are two angles that add to equal 180

To find the measurement of angle b, subtract 40 from 90 (50)

To find the measurement of angle c, subtract 50 from 180 (130)

The measures of complementary and supplementary angles are given by m∠B = 50° and m∠C = 130°

Supplementary angles are two angles that add up to 180 degrees. In other words, if angle A and angle B are supplementary, then:

A + B = 180°

Complementary angles are two angles that add up to 90 degrees. In other words, if angle A and angle B are complementary, then:

A + B = 90°

Given data ,

If m∠A = 40°, then its complement ∠B = 90° - m∠A = 90° - 40° = 50°.

Since ∠C is a supplement of ∠B, we know that m∠C + m∠B = 180°.

Therefore, we can solve for m∠C by rearranging this equation to get:

m∠C = 180° - m∠B

Substituting the value we found for m∠B, we get:

m∠C = 180° - 50° = 130°

Hence , the angles are mZB = 50° and mZC = 130°.

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Answer:

y=2/1+7

Step-by-step explanation:

The value οf the expressiοn is \(-cot^2x\).

Trigοnοmetry deals in a right angled triangle by giving the ratiο οf variοus sides οf the right angled triangle.

An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.

\(\frac{sin^2(\frac{\pi }{2}-x) }{cos^2-1} \\= \frac{cos^2x}{cos^2-1} \\=\frac{cos^2x}{cos^2x-sin^2x-cos^2x} \\=\frac{cos^2x}{-sin^2x} =-cot^2x\)

Hence, the value of the expression is \(-cot^2x\).

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Answer:

b

Step-by-step explanation:

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

The quotient of - 3.32 / - 2.2 is 8 ÷5.

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

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The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

We have,

To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.

Let's go through the steps:

First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)

Now, let's differentiate f(w) with respect to w:

\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)

To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.

Using the power rule, the derivative of (w² - 4) with respect to w is 2w.

Applying the chain rule:

\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)

Simplifying further:

\(f'(w) = -40w(w^2 - 4)^{-6}\)

Therefore,

The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)

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A histogram to show the data distribution is shown in the image below.

In this scenario and exercise, you are required to complete the frequency table and create a histogram to show the data distribution. First of all, we would determine the midpoint, absolute frequency, relative frequency, and cumulative frequency;

Class width   Midpoint       Absolute frequency      Rel. frequency

[15, 20]               17.5                          1                        0.066667

[20, 25]              22.5                         2                       0.133333

[25, 30]              27.5                          2                       0.133333

[30, 35]              32.5                          5                       0.333333

[35, 40]              37.5                          5                        0.333333

Mathematically, the relative frequency of a data set can be calculated by using this formula:

Relative frequency = absolute frequency/total frequency × 100

Relative frequency = 1/15 × 100 = 0.066667

Relative frequency = 2/15 × 100 = 0.133333

Relative frequency = 5/15 × 100 = 0.333333

For the cumulative frequency, we have:

0.066667

0.066667 + 0.133333 = 0.2

0.2 + 0.133333 = 0.333333

0.333333 + 0.333333 = 0.066667

0.066667 + 0.333333 = 1.

In conclusion, the y-axis of the histogram would be labeled frequency while the x-axis would be labeled absolute hearing threshold, for 15 participants.

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Answer:

Step-by-step explanation:

Area of the land A - Length * Width

Given

A = 1 3/4 mi²

Length L = 2 1/3 miles

Required

Width of the property

Substitute into the formula;

A = LW

W = A/L

W = 1 3/4/(2 1/3)

W = 7/4 ÷ 7/3

W = 7/4 × 3/7

W = 3/4 miles

Hence the width of the property is 3/4 miles

Answer:

21

Step-by-step explanation:

Midpoint means the middle, so all you have to do is divide 42 by 2 :)

The coordinates of point A are ( 5/4, -3/4)

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

x - coordinate = 5 grid lines to the right of the y-axis

y - coordinate =   3 grid lines below the x-axis.

The point A is in the 4th quadrant

(x,y) = ( + 5 grid lines, -3  grid lines )

There are increments I have one over four for each grid line on each of the two axes

This means,

(x,y) = ( + 5 * 1/4, -3*1/4 ) = ( 5/4, -3/4)

So,  the coordinates of point A are ( 5/4, -3/4)

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Answer:

x=120 and x=110 because adjacent angle

Answer:

D= 60 degrees(corresponding angles) Q = 70 degrees (interior angles)

Step-by-step explanation:

For the first one you can find G right away cause they are corresponding angles you know this cause they form an f shape and then after you find G you can find D cause they are corresponding

For the second one you can find V right away cause V and S are corresponding after you find V which is 110 you do interior angles ( Q and V are in a U shape and angles in that shape add upto 180 and are called interior angles) So Since V is 110 , you have to minus 110 degrees from 180 degrees and so Q is equals to 70 degrees

A) The continuous rate of growth of this bacterium population is 45 percent.

B) The initial population of the culture at t=0 is 930.

C) The bacteria that will culture at time t=5 is 8823.59.

A = Pert, where "A" is the ending amount, "P" is the starting amount (principal in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whichever unit was used on the growth/decay rate).

Given,

n(t)= 930\(e^{0.45t}\)

Also given that t is measured in hours.

We know that the equation for continual growth is ,

A= P\(e^{rt}\)

Where A is the final amount, P is the starting amount, and r is the growth or decay rate.

A) From the above equation,

r=0.45

The continuous rate of growth of this bacterium population is 45 percent.

B) At t=0,

n(0)= 930\(e^{0.45(0)}\)

n(0)=930

The initial population of the culture at t=0 is 930.

C) At t=5,

n(5)= 930\(e^{0.45(5)}\)

n(5)= 8823.59

The bacteria that will culture at time t=5 is 8823.59.

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Answer:

6370.63 is the volume

Step-by-step explanation:

V=4

3πr3=4

3·π·11.53≈6370.6263

Hi!

The coefficient of x is known as the slope, and that can be represented as rise/run, and in this example is it 1/4, therefore your rise is 1.

Hope this helps! :D

Answer:

Step-by-step explanation:

We know that:

Let's compare the slope and its formula.

Work:

Hence, the rise of the slope is 1.

Hoped this helped.

\(BrainiacUser1357\)

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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ANSWER and EXPLANATION

We want to find out what scenario in real life can be represented by the integer -21.

The easiest and most relatable scenarios in real life that involve negative numbers has to do with money.

For money to be represented as a negative integer, it could mean that the person involved is owing another person/organisation.

For example, if I borrow $21 dollars from a friend so as to buy an item, then it means that at that moment in time, I have -$21, because I owe somebody $21.

Another example is temperature.

Temperature are often negative values e.g. -5°C, -40°F

Answer:

Multiply each by 12

Step-by-step explanation:

A common multiple is 12