Here are some facts:

• A cheetah ran 100 meters in 6 seconds.

• A sloth took 15 seconds to move 1 meter.

• A mosquito flew about 5 meters every 9 seconds.

• Usain Bolt ran 6. 5 meters per second when he broke

the 100-meterldash world record.

Complete the table.

Speed

(meters per second)

Pace

(seconds per meter)

Cheetah

sloth

Answer:

combination!!

The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5

The ages are given as:

Adam = 3 years and 6 months

Zara = 2 years and 11 months

Rewrite the ages in months

Adam = 3 * 12 + 6 = 42 months

Zara = 2 * 12 + 11 = 35 months

Adam's age as a fraction of Zara's age is calculated using:

Fraction = Adam/Zara

This gives

Fraction = 42/35

Simplify

Fraction = 7/5

Hence, Adam's age as a fraction of Zara's age is 7/5

Read more about fractions at:

https://brainly.com/question/1622425

Answer:

87.29,,,,,,,,

Step-by-step explanation:

87290 mm =87.29m

Answer:

42

Step-by-step explanation:

-14 1/9 is about -14.

-2 9/10 is about -3.

Multiplying these, we get (-14)(-3)=42.

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

To learn more about probability here:

https://brainly.com/question/11234923

#SPJ4

Answer:

Step-by-step explanation:

reasons

2) vertical angles are congruent

4) SAS

B.vertical angles is the correct answer tot he question

Answer:

answer is 1.1

Step-by-step explanation:

that you can divide and see the answer

Answer:

?

Step-by-step explanation:

Answer:

  (x, y) = (1, 1)

Step-by-step explanation:

A graphing calculator works nicely for solving equations graphically.

__

If you want to plot these by hand, it is convenient to write them in slope-intercept form:

  y = -2x +3 . . . . . subtract 2x from both sides of the first equation

  y = x . . . . . . . . . add y to both sides of the second equation

These tell you the first line goes through (0, 3) with a slope of -2. The second line goes through the origin with a slope of +1.

The solution is ...

  (x, y) = (1, 1)

_____

Additional comment

Slope-intercept form is not the only convenient form for graphing the equation of a line. The first equation, for example, is given in standard form, which makes it easy to see the x-intercept is 3/2, and the y-intercept is 3. Sometimes plotting points with a fractional coordinate can be problematical, so we choose to put that equation into a different form.

The second equation quite clearly tells us y=x, so we know that line goes through points that have the same x- and y-coordinates.

Answer:

4,050 ft^3

Step-by-step explanation:

Separate the figure into a cube and a square pyramid.

Volume of the cube (a^3):

15 x 15 x 15 = 3,375

3,375 ft^3

Volume of the square pyramid (lwh/3):

15 x 15 x 9/3 = 675

675 ft^3

Add the volumes of both figures:

675 ft^3 + 3,375 ft^3 = 4,050

The volume of the whole figure is 4,050 cubic feet.

Hope this helps!

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

     x + y  = 16

     x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

      x + y  = 16  ---- (i)

      x - y = 0   ------(ii)

Add i and ii:

      2x  = 16

         x = 8

Subtract i and ii;

         2y = 16

            y = 8

Answer:

1.1768

Step-by-step explanation:

Using Pythagorean theorem

Base of one triangle be B

\(\\ \sf\longmapsto B^2=15^2-7^2\)

\(\\ \sf\longmapsto B^2=225-49\)

\(\\ \sf\longmapsto B^2=176\)

\(\\ \sf\longmapsto B\approx 13\)

Now

\(\\ \sf\longmapsto Area=\dfrac{1}{2}bh\)

\(\\ \sf\longmapsto Area=\dfrac{1}{2}(7)(26)\)

\(\\ \sf\longmapsto Area=13(7)\)

\(\\ \sf\longmapsto Area=91m^2\)

Total cans

\(\\ \sf\longmapsto 91/20=4.5cans\)

Answer:

76

Step-by-step explanation:

100% = 120

1/5 of 100% = 20%

20% = 120÷100×20

        = 24

100-24= 76

Answer:

I use standard form

Step-by-step explanation:

I use the standard form.

Answer:

f(x)=x + 8

g(x)=x-5

fog=x-5+8

     =x+3

gof=x+8-5

     =x+3

gog=x-5-5

     =x-10

Multiplying the numerator and denominator of a fraction by the same number results in an equivalent fraction. This can be understood by considering the number of parts and the size of the parts in the fraction.

A math drawing can illustrate this concept by visually showing how the numerator and denominator are multiplied by the same number, and how the resulting fractions are equal. When we multiply the numerator and denominator of a fraction by the same number, we are essentially scaling the fraction by that number. The number of parts in the numerator and denominator remains the same, but the size of each part is multiplied by the same factor.

A math drawing can visually represent this concept. We can draw a rectangle divided into three equal parts, representing the original fraction 2/3. Then, we can draw another rectangle divided into four equal parts, representing the fraction (2x4)/(3x4). By shading the same number of parts in both drawings, we can see that the two fractions are equal, even though the size of the parts has changed.

Learn more about equivalent fraction here:

https://brainly.com/question/29796627

#SPJ11

Answer:

0.90 seconds

Step-by-step explanation:

We will see that one complete revolution takes (2π/7) seconds.

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

If you want to learn more about sine functions, you can read:

https://brainly.com/question/9565966

#SPJ2

the data provide convincing evidence of a difference in the proportions of teens and young adults who own an iPod or MP3

To determine if there is convincing evidence of a difference in the proportions of all teens and young adults who own an iPod or MP3 player, we can perform a hypothesis test.

Let's define the following parameters:

- p₁: Proportion of all teens who own an iPod or MP3 player.

- p₂: Proportion of all young adults who own an iPod or MP3 player.

The null hypothesis (H₀) assumes that there is no difference between the proportions:

H₀: p₁ = p₂

The alternative hypothesis (H₁) assumes that there is a difference between the proportions:

H₁: p₁ ≠ p₂

To test this hypothesis, we can use a two-proportion z-test. We calculate the test statistic using the formula:

z = ((p₁ - p₂) - 0) / √((\(\hat{p}_1\) * (1 - \(\hat{p}_1\)) / n₁) + (\(\hat{p}_2\) * (1 - \(\hat{p}_2\)) / n₂))

Where:

- \(\hat{p}_1\): Sample proportion of teens who own an iPod or MP3 player (79% or 0.79)

- \(\hat{p}_2\): Sample proportion of young adults who own an iPod or MP3 player (67% or 0.67)

- n₁: Sample size of teens (800)

- n₂: Sample size of young adults (400)

Using the given values, we can calculate the test statistic:

z = ((0.79 - 0.67) - 0) / √((0.79 * (1 - 0.79) / 800) + (0.67 * (1 - 0.67) / 400))

Calculating this yields the test statistic z = 5.525.

Next, we can determine the critical value or p-value associated with this test statistic using a significance level (α). Assuming a significance level of 0.05, for a two-tailed test, the critical values are approximately -1.96 and 1.96.

Since the calculated test statistic (5.525) is beyond the critical values of -1.96 and 1.96, we can reject the null hypothesis. There is convincing evidence to suggest that there is a difference in the proportions of all teens and young adults who own an iPod or MP3 player.

In conclusion, the data provide convincing evidence of a difference in the proportions of teens and young adults who own an iPod or MP3 player.

Learn more about test statistic here

https://brainly.com/question/31746962

#SPJ4

The appropriate hypotheses for testing the difference in proportions of all teens and young adults who own an iPod or MP3 player are:

Null Hypothesis (H0): The proportion of teens who own an iPod or MP3 player is equal to the proportion of young adults who own an iPod or MP3 player.

Alternative Hypothesis (Ha): The proportion of teens who own an iPod or MP3 player is not equal to the proportion of young adults who own an iPod or MP3 player.

To test if there is a significant difference in the proportions of all teens and young adults who own an iPod or MP3 player, we need to set up appropriate hypotheses. Let's denote the proportion of teens who own an iPod or MP3 player as p1 and the proportion of young adults who own an iPod or MP3 player as p2.

The null hypothesis (H0) assumes that there is no difference between the proportions, so we can state it as:

H0: p1 = p2

The alternative hypothesis (Ha) assumes that there is a difference between the proportions, so we can state it as:

Ha: p1 ≠ p2

Here, p1 represents the true proportion of teens who own an iPod or MP3 player, and p2 represents the true proportion of young adults who own an iPod or MP3 player.

To test these hypotheses, we can use a significance level (α) of 0.05, which is a common choice in hypothesis testing. If the p-value (the probability of observing a test statistic as extreme as the one calculated) is less than 0.05, we reject the null hypothesis and conclude that there is a significant difference in the proportions.

About hypothesis testing here:

https://brainly.com/question/17099835

#SPJ11

Answer:

-6

Step-by-step explanation:

ax+by=c slope is -a/b ∴ the slope is -180/30 or -6

Answer:

The solution of an equation with two variables (x and y) is an ordered pair (x, y).

Step-by-step explanation:

According to the solving the rate at which the area of the circle increases when the radius is 8 m.

= 64π m²/s.

The "space enclosed within the perimeter or the boundary" of the specified shape is what is referred to as the area of a shape. Using mathematical methods, we determine the area of various shapes.

Using the equation of circle formula, we can determine the equation of any circle given its radius and center coordinates. (x−x1)2+(y−y1)2=r2 ( x − x 1 ) 2 + ( y − y 1 ) 2 = r 2 . is the equation for the circle formula.

The area of a circle (A) with radius (r) is given by

A = πr²

According to the dA/dt rule:

\(\frac{dA}{dt} = \frac{d(π r^2)}{dt}\)

= (dr/dt) = 2 πr(dr/dt)

given:

(dr/dt) = 4m/s.

dA/dt = 2 πr(4).

dA/dt = 8πr.

When r = 8m.

Substituting the value we get:

= dA/dt = 8πr.

= dA/dt = 8π8.

=dA/dt = 64π m²/s.

According to the solving the rate (in m2/s) at which the area of the circle increases when the radius is 8 m.

= 64π m²/s.

To know more about area of a shape visit:

https://brainly.com/question/11989469

#SPJ4

Given that a right rectangular pyramid is sliced parallel to the base, and we need to find the area of the resulting two-dimensional cross-section.To solve the problem, we can use the formula to calculate the area of the cross-section of the pyramid which is given by the product of the altitude and the length of the base rectangle.

A right rectangular pyramid has a rectangular base, and the cross-sections made parallel to the base will also be rectangles.The resulting two-dimensional cross-section is shown below:

As we see in the figure, the height of the pyramid is divided into two equal parts, so the altitude of each resulting pyramid is equal to half the altitude of the original pyramid. The length of the rectangle will remain the same as that of the original rectangle.The area of the cross-section of the pyramid is given by:

Area of cross-section = altitude × base area

Now, we have the altitude of each resulting pyramid which is half of the altitude of the original pyramid, and the base area is the same as that of the original rectangle.

Therefore, the area of the resulting cross-section is equal to half of the original base area or one-fourth of the volume of the pyramid whose base is the rectangle.Area of cross-section = 1/4 × base area

Hence, the area of the resulting two-dimensional cross-section is 9 m².

To know more about rectangular pyramid visit:

https://brainly.com/question/32241962

#SPJ11

Answer:

1=1

2=1

3=1

4=0

5=0

6=0

7=0.

Hope It Helps!

Answer:

Step-by-step explanation:

y=10

Answer:

Step-by-step explanation:

Equation for the linear function has been given as,

y = 26 - 4x

For x = 1,

y = 26 - 4(1)

  = 26 - 4

  = 22

For x = 2,

y = 26 - 4(2)

  = 26 - 8

  = 18

For x = 3,

y = 26 - 4(3)

  = 26 - 12

  = 14

For x = 6,

y = 26 - 4(6)

  = 26 - 24

  = 2

Therefore, table for the function will be,

x               y

1              22  

2              18

3              14

6               2

Answer:

0.6%

Step-by-step explanation:

\(x\) is what percentage of \(y\) ? Divide x by y. In this case, divide 1515 by 252525:

\(1515\div252525\approx0.006\)

Now, multiply that number by 100 to get a percentage:

\(0.006\times100=0.6\)

1515 is 0.6% of 252525.

Another example so it's more clear:

50 is what percent of 200?

\(50\div200=0.25\\0.25\times100=25\)

25%

The values of derivatives are:

(5) Dₓ{ln (2x + 1)} = 1/[2(2x + 1)]

(6) (x³ - eˣ)" = 6x - eˣ.

(5) We have to find the value of Dₓ{ln (2x + 1)}

Given the function is,

y = ln (2x + 1)

Let u = 2x + 1.

So, differentiating above with respect to 'x' we get, du/dx = 2.

Now the function becomes, y = ln (u)

Differentiating with respect to 'u' we get, dy/du = 1/u

So, the derivative or the value of Dₓ of the given function with respect to 'x' we get,

Dₓ{ln (2x + 1)} = (dy/du) (du/dx) = (1/u) (2) = 1/[2(2x + 1)]

(6) The given function is,

y = x³ - eˣ

Differentiating the function with respect to 'x' we get,

dy/dx = 3x² - eˣ

d²y/dx² = 6x - eˣ

Hence the value of (x³ - eˣ)" = 6x - eˣ.

To know more about Derivative here

https://brainly.com/question/25324584

#SPJ4