16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.

Answer:

Not arithmetic

Step-by-step explanation:

the difference of successive terms in arithmetic sequences should be the same. notice that:

1/3-1/2 =/= 1/3 - 1/4

so it's not arithmetic.

this sequence is known as the harmonic sequence, and its sum diverges.

Answer:

b，c，f

Step-by-step explanation:

a is -8

b 8

c 8

d -8

e 1-

f 8

g -8

h -8

Answer:

Answer x = 9   y = 4

-2x + 8y = 14

-2x - 2y = -26      

0  + 10y = 40

y = 4

-2x + 8(4) = 14

-2x = 14 - 32 = -18

x = 9

Answer:

Step-by-step explanation:

26 pounds because the weight of the first object on the earth is 90 pounds but on the moon it is 15 pounds this gives us a ratio between the relative gravitational field strengths of the earth and the moon

Answer:

26 pounds.

Step-by-step explanation:

By proportion:

15/90 = w /156  where w is the object's weight on the moon.

90w = 15*156

w = (15*156)/90

= 26.

Answer:

A perfect square is an integer that results in another integer when square rooted.

Step-by-step explanation:

For example:

16 is a perfect square because [tex]\sqrt{16}[/tex] = 4.

16 and 4 are both integers

Also, notice that 4 x 4 = 16

Answer:

A perfect square is a number that can be multiplied together by the same numbers/digits/values.

Step-by-step explanation:

Examples:

√25

5 times 5 is 25 thus √25 is a perfect square

√144

12 times 12 is 144 thus √144 is a perfect square

Hope this helps!

Answer:

1) A 1 1/3    2) C  1 5/12

Step-by-step explanation:

1) 2/6+4/8+5/10

Reduce 4/8 with 4 and 5/10 with 5.

2/6+1/2+1/2

Reduce 2/6 with 2.

1/3+1/2+1/2

Add fractions with a common denominator.

1/3+2/2

Reduce 2/2 with 1

1/3+1

Write all numerators above the common denominator.

1+3/3

Calculate.

4/3 = 1 1/3

2) 2 3/4 - 1 1/3

Change to improper fractions.

11/4 - 4/3

Write all numerators above the common denominator.

33-16/12

Calculate.

17/12 = 1 5/12

Hope this helps :)

Answer:

81 x² - 4 y²

Answer C is correct.

Step-by-step explanation:

First, you have to find the area of the larger square.

Area of the larger square = (9x) × (9x)

                                          = 81 x²

Then you have to find the area of the un shaded square,

Area of the unshaded square = (2y) × (2y)

                                                  = 4 y²

Now to find the area of shaded region you have to subtract the area of the unshaded square from the area of the larger square.

Area of the shaded region = Area of the larger square - Area of the unshaded square

                                            = 81 x² - 4 y²

Hope this helps you.

Let me know if you have any other questions :-)

use calcurature

to sold that problem

Step-by-step explanation:

thank you for the points

please follow me and

mark brainlest

hope its help

Answer:

(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation:

Answer:

0.8174

Step-by-step explanation:

You just round up to the 4th to the right

Answer:

3) 4x-2y (less than) -8

Answer:

Option 3: 4x - 2y < -8

Step-by-step explanation:

Given the graph of a linear inequality with a dashed line as its boundary line:

To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.

It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.  

Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:

4x - 3y > -12

4(0) - 3(0) > -12

0 - 0 > -12

0 > -12 (True statement).  Hence, the half-plane region that contains the test point must be shaded.

Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.

x + 4y > 4

(0) + 4(0) > 4

0 + 0 > 4

0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded.  Hence, Option 2 may be a valid solution.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

x + 4y > 4

x - x + 4y > - x + 4

4y > -x + 4

Divide both sides by 4 to isolate y:

[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]

y > -¼x + 1  ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼.  Hence, Option 2 is not a valid answer, as the graph has a positive slope.

4x - 2y < - 8

4(0) - 2(0) < - 8

0 - 0 < - 8

0 < -8  (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.  

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

4x - 2y < - 8

4x - 4x - 2y < -4x - 8

-2y < -4x - 8

Divide both sides by -2 to isolate y:

[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]  

y < 2x + 4  ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.

Therefore, the correct answer is Option 3: 4x - 2y < -8.

Answer:

y=-10x+25

Step-by-step explanation:

Answer:

32%

Step-by-step explanation:

Answer:

y=-2x-2

Step-by-step explanation:

since the line is perpendicular to y=1/2x - 2, the slop is -1/(1/2)=-2. so we have y=-2x+b. now plug in the point given: 2= -2(-2)+b, 2=4+b, b=-2, y=-2x-2

Answer: the length of the major axis

Step-by-step found it on Quizlet and got it right on the quiz

If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.

The major axis of an ellipse is the line segment connecting the two vertices.

Since, the sum of focal distances of a point on ellipse is constant.

And it is equals to the length of major axis.

Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.

Learn more about major axis of an ellipse here:

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The answer is −0.09

It should be simple multiplication.

I hope this helps!

Step-by-step explanation:

not sure the question but I can solve the equations

6x-14<-14

6x<0

×<0

3x+10>13

3x>3

×>1

Answer:12

Step-by-step explanation:

if 4y=12

then y=3

4y=2x

then as 4y=12 then 2x=12

Answer: 2x=12

Step-by-step explanation:

so if 4y=2x we know that 2x is also equal to 12

2x=12

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

Substitute the values in formula:

y-2=5(x+1)        (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

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Answer:

okie

Step-by-step explanation:

but the q is blurry very blurry send again

Answer:

You're answer is B. All answers except -6

Step-by-step explanation:

did the test

Answer:

[tex]11. - 60 = - 49 \\ 12.10 = 12.1 \\ 13. - 9 = 4 \\ 14.14 = \frac{707}{50} \\ 15.37 = \frac{1537}{100} [/tex]

Answer:

11

Step-by-step explanation: 100 cents- $1

85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935

935 or 9.35 dollars

Answer:

(4)(1)6

Step-by-step explanation: It only has all positives and the rest all have one negative so that affects the whole problem and turns them negative.

Answer:

The correct option is;

C. She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the outlier from the analysis, because this is an error in recording

Step-by-step explanation:

In order to minimize error in measurement, some valuable steps includes;

1) Perform a double check on all measurements to ensure that the measurements recorded are accurate

2) Ensure proper training before taking measurements

3) Measurements should only be taken under controlled conditions

4) Separate the entire population into smaller groups for proper recording

5) Have a second observer double check the records

Elena should remove the outlier of 122 centimeters (about 4 feet) from her dataset during data analysis due to its significant deviation from the typical lengths of beetles.

When analyzing her data, Elena should consider removing the outlier of 122 centimeters (about 4 feet) from her dataset. The Outlier is defined as a "data-point" which significantly deviates from the overall-pattern of the data.

In this case, the recorded length of 122 centimeters is likely an error or anomaly, as it is much larger than the typical lengths of beetles. Removing the outlier will help ensure that her analysis and conclusions accurately reflect the majority of the data and the actual behavior of the beetles.

Learn more about Outliners here

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The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504

A math class has 3 girls and 7 boys in the seventh grade and 3 girls and 3 boys in the eight grade. The teacher randomly selects a seventh grader and an eight grader from her class for a competition. What is the probability that the students she selects are both boys?

Answer: 3/5