Mrs. Mobley can jog 3 miles in 27 minutes. How many miles can she jog in 81 minutes?

Step-by-step explanation:

Ok, so the surface area is found by adding up all the areas of each individual shape of the entire solid.

I attached a picture of some of the missing values. That should help a little with visualizing.

Since the three rectangles are all the same values, you can substitute adding them by just multiplying lw (their individual areas) by 3.

The three triangles at the top are all the same as well, so you can multiply their areas (\(\frac{1}{2} bh\) ) by 3, too.

Then there's the triangle at the bottom that is by itself, that will just have a 1 in front of it.

Now you can make your surface area equation:

\(SA=3lw+3(\frac{1}{2} b_1h_1)+\frac{1}{2} b_2h_2\)

The b1h1 are the three triangles at the top and the b2h2 is the triangle at the bottom.

\(SA=3(10)(16)+3(\frac{1}{2})( 10)(6)+\frac{1}{2} (10)(8.7)\\SA=480+90+43.5\\SA=613.5\)

If there's anything you need me to explain further, feel free to comment :)

Answer:

\(SA=613.5m^2\)

Answer:

\(\Huge \boxed{\mathrm{613.5 \ m^2 }}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

We can find the total surface area by adding the surface area of the triangular prism with the surface area of the triangular pyramid at the top.

Surface area of the triangular prism:

10 × 8.7 × 1/2 + 16 × 10 × 3

⇒ 523.5

Surface area of the triangular pyramid:

6 × 10 × 1/2 × 3

⇒ 90

Adding the surface areas:

523.5 + 90

⇒ 613.5

\(\rule[225]{225}{2}\)

Answer:

1. Distribute

2. Combine like terms

3. Get all variable on one side and everything else on the other (Inverse operations: Add / subtract)

4. Solve for one of your variables (inverse operation: Multiple / Division

5. Simplify

Answer:

1095

Step-by-step explanation:

There is a common difference between consecutive terms , that is

7 - (- 10) = 24 - 7 = 17

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 10 and d = 17 , thus

\(a_{66}\) = - 10 + (65 × 17) = - 10 + 1105 = 1095

The 66th term of the arithmetic sequence -10, 7, 24, ....  will be 925.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence is given below.

-10, 7, 24, ....

The first term is - 10. And the common difference is given as,

d = 7 - (- 10)

d = 7 + 10

d = 17

The 66th term of the arithmetic sequence will be calculated as,

a₆₆ = - 10 + (66 - 1) × 17

a₆₆ = - 10 + 55 × 17

a₆₆ = - 10 + 935

a₆₆ = 925

The 66th term of the arithmetic sequence -10, 7, 24, ....  will be 925.

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To sketch the region r in the first and second quadrants bounded above by the graph of y = 20/(1 + x^2),

we can follow these steps:

Find the x-intercepts and vertical asymptotes of the graph of y = 20/(1 + x^2):

Setting y = 0, we get:

0 = 20/(1 + x^2)

Solving for x, we get:

x^2 = 20

x = ±√20 = ±2√5

These are the x-intercepts of the graph.

The vertical asymptotes occur where the denominator of the fraction, 1 + x^2, equals zero. Therefore, the vertical asymptotes occur at x = ±√(-1) = ±i. However, these values are not in the first or second quadrant, so we do not need to consider them.

Determine the behavior of the graph as x approaches infinity and negative infinity:

As x approaches infinity or negative infinity, the denominator 1 + x^2 becomes very large, and the fraction 20/(1 + x^2) approaches zero. Therefore, the graph approaches the x-axis as x approaches infinity or negative infinity.

Determine the sign of y for values of x in the first and second quadrants:

Since y = 20/(1 + x^2), and 1 + x^2 is always positive, the sign of y is determined by the sign of 20. Therefore, y is positive for all values of x in the first and second quadrants.

Sketch the region r:

The region r is bounded above by the graph of y = 20/(1 + x^2) in the first and second quadrants. Since y is positive for all values of x in these quadrants, the region is the area between the x-axis and the graph of y = 20/(1 + x^2) in the first and second quadrants.

Here is a rough sketch of the region r:

          |     /    

          |    /    

          |   /      

          |  /      

          | /        

    -----|/--------  

          |        

          |

Note that the region r is symmetric about the y-axis, and its area is infinite.

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Using visual interpretation of the plot trend, the scatter plot shows positive correlation.

A positive correlation is depicted by a positive slope or trend line on a scatter plot. The trend of the scatter plot slopes upward which establishes a positive association.

If the slope is otherwise negative, such that the trend line slopes downward, then we have a negative association or relationship.

Therefore, the scatter plot shows positive relationship.

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The translations are:

First parabola: Translation up of 3 units --> g(x) = x² + 3

Second parabola: Translation down of 3 units.  --> g(x) = x² - 3

Third parabola: Translation left of 3 units.  --> g(x) = (x + 3)²

Fourth parabola: translation right of 3 units  --> g(x) = (x - 3)²

Remember that the vertex of the parent quadratic function:

f(x) = x²

is at the origin, which is the point (0, 0) in the coordinate axis.

Then to find the translations, we need to look at the vertices of each of the parabolas, doing that, we can see that:

First parabola: Translation up of 3 units

Second parabola: Translation down of 3 units.  

Third parabola: Translation left of 3 units.  

Fourth parabola: translation right of 3 units  

Each of the transformations is written as:

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Answer:

11x-9

Step-by-step explanation:

5+2(5x-7)+x=5+10x-14+x

                   = 11x-9

Answer:

-9+11x

Step-by-step explanation:

5+2(5x-7)+x

multiply (5x-7) by 2

5+ 10x-14+x

add like terms

-9+11x

Answer:

16

Step-by-step explanation:

Answer:

√16

because the square root of 16 is 4...

The given equation is 8x - 6(4x) + 11(2x) - 6 = 0.To solve the above equation, we need to simplify it by using the distributive property and combining like terms.

\(8x - 24x + 22x - 6 = 0 6x - 6\)

= 0Now, we will isolate the variable by adding 6 to both sides.

\(6x - 6 + 6 = 0 + 6 6x\)

= 6To find the value of x, we will divide both sides by 6.

x = 1Therefore, the solution of the equation 8x - 6(4x) + 11(2x) - 6

= 0 i

s x = 1.

Note: The solution of an equation is the value(s) of the variable(s) that make the equation true. In this case, when we substitute x = 1 in the given equation, it satisfies the equation and makes it true.

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Answer:

C. y = -1/5x

Step-by-step explanation:

y = -1/5 exhibits direct proportionality.  This means that y varies directly as x (for every change in x, y also experiences change), while the "-1/5" represents the constant of proportionality.  Because -1/5 is negative, every increase in x will result in a decrease in y.

Answer:

S=2t

or

T=1/2 S

Answer:

the cat is 27 inches tall

Step-by-step explanation:

the cat is 27 inches tall because when the flower cast is 8 inches but the flower itself is 3 inches you do 8-3=5 take 32-5 and you get 27inches

Answer:

8+192x5=8+960=968 is your answer

The probability that Sergio's number is larger than the sum of the two numbers chosen by Tina is 3/20.

Let A be the event that the sum of the two numbers chosen by Tina is less than or equal to 10 and B be the event that Sergio's number is larger than the sum of the two numbers chosen by Tina.

P(A) = probability that Tina selects two numbers whose sum is less than or equal to 10.

If the sum is less than or equal to 10, then the only way this can happen is if Tina selects (1,2), (1,3), (1,4), (1,5), (2,3), (2,4), (2,5), (3,4), (3,5), (4,5)

P(A) = 10/10C2= 10/45

P(B) = probability that Sergio's number is larger than the sum of the two numbers chosen by Tina.

In order for Sergio to choose a number larger than the sum of Tina's numbers, Sergio's number must be either 6,7,8,9 or 10.

If Sergio chooses 6, then the Tina must have chosen (1,5), (2,4) or (3,3)

If Sergio chooses 7, then the Tina must have chosen (1,6), (2,5), (3,4) or (4,3)

If Sergio chooses 8, then the Tina must have chosen (1,7), (2,6), (3,5), (4,4)

If Sergio chooses 9, then the Tina must have chosen (1,8), (2,7), (3,6), (4,5) or (5,4)

If Sergio chooses 10, then the Tina must have chosen (1,9), (2,8), (3,7), (4,6) or (5,5)

Therefore, there are 15 possible cases where Tina and Sergio select two distinct numbers from the set {1, 2, 3, 4, 5} and Sergio selects a number from the set {1, 2, ..., 10} such that Sergio's number is larger than the sum of the two numbers chosen by Tina.

P(B) = 15/5C2 * 10C1= 15/100

So, the probability is 3/20.

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14 diagonals  is the probability that they intersect inside the heptagon.

What are examples and probability?

there are 14 diagonals, not 30 diagonals.

This can be found by

            \(\frac{n(n - 3)}{2} = \frac{7 * 4}{2}\)   = 14 diagonals.

    = 28+42/182(5/13),

because we can choose the first diagonal is 14 ways, the second is 13.  

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The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.

What is Triangle inequality theorem?

The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.

We are given three sides of a triangle as 8, 6 and x+20

Using Triangle inequality theorem,

⇒8+6 > x+20

⇒14 > x+20

⇒-6 > x

Also,

⇒x+20+6 > 8

⇒x+26 > 8

⇒x > -18

Also,

⇒x+20+8 > 6

⇒x+28 > 6

⇒x > -22

From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.

This means that x must lie between -18 and -6.

Hence, the value of x must be between -18 and -6.

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Answer:60 inches

Step-by-step explanation: 14+14+16+16=60

The probability that a number chosen randomly from 10 through 99, inclusive, will have zero as at least one digit is 0.18 or 18/100.

To find the probability, we can count the total number of possible numbers from 10 through 99, which is 90. Of these 90 numbers, the numbers with at least one zero are 19: 10, 20, 30, ..., 90 and 01, 02, 03, ..., 09. Therefore, the probability of randomly choosing a number with at least one zero is 19/90, which simplifies to 0.21 or 21/100. However, we need to subtract the probability of choosing the number 10, which has two zeros, to get the probability of choosing a number with at least one zero as a digit. So the final probability is (19-1)/90 = 18/100 or 0.18.

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The g(10)(a) is equal to 256 cos(5).

(a), we first need to understand what the notation means. The double prime notation, such as g(10)(a), represents the second derivative of a function. This means that we need to take the derivative of g(a) twice with respect to a and then evaluate it at a=10.
Starting with the given function,

\(g(a) = -1024 cos (a/2)\),

we can find the first derivative by using the chain rule.
\(g'(a) = -1024 * (-1/2) * sin(a/2) = 512 sin(a/2)\),
Next, we can find the second derivative by differentiating g'(a) with respect to a:
\(g''(a) = 512 * (1/2) * cos(a/2) = 256 cos(a/2)\),
Now, we can evaluate g''(a) at a=10 to find g(10)(a):
\(g(10)(a) = g''(10) = 256 cos(10/2) = 256 cos(5) \),
Therefore, g(10)(a) is equal to 256 cos(5).

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Answer:

631.75

Step-by-step explanation:

the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane

the bottom of the ball as its reference point, the y-axis along a vertical line, and the positive direction as pointing upward can be calculated as follows:The y-coordinate of the ball = (y-coordinate of the center of the ball) - (the radius of the ball)As per the given problem, the center of the ball rests on the table which implies that the y-coordinate of the center of the ball is zero since we have selected the table as the reference plane.Hence, the y-coordinate of the ball = 0 - 2= -2Therefore, the y-coordinate of the ball is -2.

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Answer:

you would have to get a 100 on your fifth test

Step-by-step explanation:

because between your first 4 tests, the average is only 87 something but when you add 100 to that, the average turns to 89.6 which when rounded becomes 90.

Hiya could u screenshot the end of the video where all the working out is ty

Answer:

hI

THE LOWER QUARTILE IS 15 AND THE UPPER QUARTILE IS 30 HOPE THIS WORKSSXX

Step-by-step explanation:

The main criticism of differential opportunity theory is that it overlooks the fact that most delinquents become law-abiding adults (option c).

Differential opportunity theory, developed by Richard Cloward and Lloyd Ohlin, focuses on how individuals in disadvantaged communities may turn to criminal activities as a result of limited legitimate opportunities for success.

However, critics argue that the theory fails to account for the fact that many individuals who engage in delinquency during their youth go on to become law-abiding adults.

This criticism highlights the idea that delinquent behavior is not necessarily a lifelong pattern and that individuals can change their behavior and adopt prosocial lifestyles as they mature.

While differential opportunity theory provides insights into the relationship between limited opportunities and delinquency, it does not fully address the complexities of individual development and the potential for desistance from criminal behavior.

Critics suggest that factors such as personal growth, social support, rehabilitation programs, and the influence of life events play a significant role in individuals transitioning from delinquency to law-abiding adulthood.

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Answer:

Option D.

Step-by-step explanation:

hope it helps...

Answer:

rfcec

Step-by-step explanation:

Answer:

2.6 or 2.7

Step-by-step explanation:

Answer: x=6

Step-by-step explanation:

Just think about how the problem is half

The value of x is 6.

Here,

M is the midpoint of PQ.

PM = 5 x + 6

PQ = 76

What is midpoint of line?

The midpoint is the middle point of a line segment. It is equidistant from both end points.

Now,

M is the midpoint of PQ.

Hence, PM = MQ

And, PQ = PM + MQ

     ⇒  PQ = 2 PM

     ⇒ 76 = 2 (5x + 8)

     ⇒ 38 = 5x + 8

     ⇒ 5x = 30

     ⇒  x  = 6

Hence , The value of x is 6.

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