The sum of four consecutive even numbers is 60. Find the smallest of the four number.

Answer:

m = 2

Step-by-step explanation:

Write the slope formula

Substitute: m = - 13 - 11/ - 9 - 3

Calculate the sum or difference: m = -24 / - 9 - 3

Calculate the sum or difference: m = -24 /-12

Reduce the fraction: m = 2

Answer: m = 2

Answer: m = 2

Step-by-step explanation:

Slope formula = [tex]\frac{y2-y1}{x2-x1}[/tex]

plug in values

[tex]\frac{-13-11}{-9-3}[/tex]

simplify

[tex]\frac{-24}{-12}[/tex]=2

⇒M = 2

Answer:

+ 1.

Step-by-step explanation:

That would be (-2/2)^2

= + 1.

x2 - 2x + 1 = (x - 1)(x - 1)

[tex]\text{If a quadratic expression is a perfect square, then}\\\\~~~~~~~\text{Discriminant = 0}\\\\\implies b^2 -4ac = 0\\\\\implies (-2)^2 -4 c = 0\\\\\implies 4-4c = 0\\\\\implies 4c = 4\\\\\implies c = 1 \\\\\text{Hence, the last term should be 1.}\\\\x^2 -2x +1 = (x-1)^2[/tex]

The speed of the raft if the speed of the motorboat in still water is 3 km/h

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Let the speed of the raft (current) - r

Speed of motorboat - 12 km/h

The distance between villages - is 44 km

Let the time spent by Aniskin  - t

The time the thief was in travel = 2 hr 40 min + t = 2 40/60 + t = 3/8 + t

The distance the thief traveled = 44 - 27 = 17 km

We have the following equations:

r(8/3 + t) = 17

(12 - r)t = 27

Simplify the equations:

r(8/3 + t) = 17 ⇒ rt + 8/3r = 17

(12 - r)t = 27 ⇒ 12t - rt = 27

Add up the equations and solve for r:

rt + 8/3r + 12t - rt = 44

8/3r + 12t = 44

r = 16.5 - 4.5t

Substitute r into the second equation:

(12 - 16.5 + 4.5t)t = 27

4.5t² - 4.5t = 27

9t² - 9t - 54 = 0

Solving we get

t = 3 h

Find r:

r = 16.5 - 4.5*3 = 3 km/h

Therefore the speed of the raft if the speed of the motorboat in still water is 3 km/h

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Answer:

you would need 11 containers but you would have some left over.

Step-by-step explanation:

Step-by-step explanation:

answer is in the picture above

Answer:

y = -3x - 1

Step-by-step explanation:

The slope intercepts the y-axis at -1, and moves down 3 on the y for every one space right on the x-axis

Answer:

“How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages.

a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.

This means that the GCF of 6 and 8 is 2.

b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:

6 + 8 = 2 × (3 + 4).

14 = 14

Answer:

-1

Step-by-step explanation:

The answer of this question is -1

Answer:

611

Step-by-step explanation:

[tex]\frac{24 customers}{64 staff} = \frac{229 customers}{? staff}[/tex]

Solve for ? by cross multiplying and isolating ?staff.

You will get (64 x 229) / 24

Your answer will be ~ 611.

Answer: -1/3

Step-by-step explanation:

The formula is y2 - y1/ x2 - x1 . So the answer would be -1/3 bc 3 - 2 = 1 and -11 - (-8) = -3.

A radius extends from the center of the circle to the edge.

If J is the center of the circle, then possible radii are JK, JL, JM, and JN.

Of those options, JN is the only one listed as an answer choice.

Answer: Third option, JN

Hope this helps!

Answer:  

Area: 153.86

Circumference: 43.96

The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcomes = 9×8  = 72

(because the total number of digits excluding 0)

Event A: choosing 8 as the first digit

Event B: choosing a number less than 6 as the second digit

Total favourable outcomes = 1×5 = 5

Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}

Probability = 5/72

Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.

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Answer:

The answer is B I'm pretty sure.

Step-by-step explanation:

Time4Learning 2022 quiz

The true statement is there is no correlation between age and length of stay.

Correlation is a statistical measure used to measure the relationship that exists between two variables. For example, if the older a child is, the longer he would stay at the pool. it can be said that there is a positive correlation.

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Step-by-step explanation:

Let's simplify step-by-step.

(6)(6)x−60x+900

=36x+−60x+900

Combine Like Terms:

=36x+−60x+900

=(36x+−60x)+(900)

=−24x+900

Answer:

=−24x+900

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume

V = w h l

V = 2*15*13

V = 390 ft^3

-------------------------

Surface area

SA = b*h

SA = 15*13

SA = 195

-------------------------

b) Surface area

C) Volume

Answer:

Hey!

Your Answer Would Be Option E!

Infinitely Many.

This Is Because:

Each and every one of the four angles/rectangles measures is 90°. Therefore, the number of rectangles that can be constructed using this condition is infinite!

Step-by-step explanation:

Answer:

every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false every public company is listed company true or false

Answer:

Hypatia was the first female mathmatican

Answer:

Hypatia, (born c. 355 ce—died March 415, Alexandria), mathematician, astronomer, and philosopher who lived in a very turbulent era in Alexandria's history. She is the earliest female mathematician of whose life and work reasonably detailed knowledge exists.

Step-by-step explanation:

The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

The points are given as:

(-5, 2) and (-3, 6)

The equation of  a circle is represented as:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

Substitute both points in the above equation

[tex](-5 + a)^2 + (2 - b)^2 = r^2[/tex]

[tex](- 3+ a)^2 + (6 - b)^2 = r^2[/tex]

The radii are equal.

So, we have:

[tex](-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2[/tex]

Expand the equations

[tex]25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2[/tex]

Evaluate the like terms

[tex]25 -10a + 4 - 4b = 9 - 6a + 36 - 12b[/tex]

Collect like terms

6a -10a - 4b + 12b = 9  + 36  - 25 - 4

Evaluate

-4a + 8b = 16

Divide through by - 4

a - 2b = -4

Next, we test the options:

Option (a) (a,b) = (0,2)

Substitute these values in the equation

0 - 2*2 = -4

Evaluate

-4 = -4

Both sides of the equation are the same

Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

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Answer:

3:2

Step-by-step explanation:

Answer:

78 ft^2

Step-by-step explanation:

14x8 - (3x6) + (4×4)

112 - (18+16)

= 78ft^2

Answer:

Step-by-step explanation:

The formula to calculate the area of a circle is

[tex]A =\pi r^2[/tex]

This means that if [tex]r = 5 "cm"[/tex], the area is

[tex]A = 5^2\pi " cm"^2 = 25 \pi " cm"^2 =(estimation) 78.539816 " cm"^2[/tex]

Answer:

See below

Step-by-step explanation:

We are given that a circle has a radius of 5 cm

We want to find the area of this circle

The area of a circle is given as [tex]\pi r^{2}[/tex], where r is the radius

As stated above, the radius of this circle is 5; ergo, r =5

We can substitute 5 as r in the formula

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi (5)^{2}[/tex]

Raise 5 to the 2nd power

A = π * 25

A = 25π cm²

If you need your answer in terms of pi (or as an exact answer), the answer would be 25π cm² (don't forget your units!)

However, if your system wants pi approximated, see below:

If your system wants pi to be used as 3.14, then multiply 25 by 3.14; 25 * 3.14 = 78.5 cm²

If your system wants pi to be used as 22/7, then multiply 25 by 22/7; 25 * 22/7 ≈ 78.57 cm²

The room, the tables and the guests are illustrations of rectangles and areas.

This is calculated using:

Tables = Guest ÷ Guest per top table

So, we have:

Tables = 120 ÷ 12

Evaluate

Tables = 10

Hence, 10 tables are required for the top table

This is calculated using:

Covers = Number of spring ÷ Cover space

So, we have:

Covers = 3 ÷ 0.6

Evaluate

Covers = 5

Hence, 5 covers are required for each spring

This is calculated using:

Tables = Tables for top table ÷ Spring

So, we have:

Tables = 10 ÷ 3

Evaluate

Tables = 3.33

Remove decimal

Tables = 3

Hence, 3 tables are required for each spring

This is done to allow passage for walkway

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a. The area of the rectangle: 16 units²

b. The area of the triangle on the left: 6 units²

c. Area of the triangle on the right: 10 units²

d. Area of the figure: 32 units²

a. l = 4 units

w = 4 units

Area of the rectangle = (4)(4) = 16 units²

b. b = 3 units

h = 4 units

Area of the triangle on the left = 1/2(3)(4) = 6 units²

c. b = 5 units

h = 4 units

Area of the triangle on the right = 1/2(5)(4) = 10 units²

d. Area of the figure = 16 + 6 + 10 = 32 units²

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Answer:

a: 16

b: 6

c:10

d: 32

Step-by-step explanation:

explained already <3