b.) Mark can run 5 blocks in 25 minutes. How many minutes does it take him to run 22 blocks?

Deductive reasoning is a basic form of valid reasoning. Deductive reasoning, or deduction, starts out with a general statement, or hypothesis, and examines the possibilities to reach a specific, logical conclusion, according to California State University.

HOPE IT HELPS ✨

Step-by-step explanation:

The equation used to determine the amount of radioactive material left is

[tex]A = A_0(2)^{-t/HL}[/tex]

We are have the following given quantities:

t = 30 seconds

[tex]A_0[/tex] = 50 grams

HL = 6 seconds

Plugging these into our equation we get

[tex]A = (50\:\text{grams})(2)^{-(30s/6s)}[/tex]

[tex]\:\:\:\:= (50\:\text{grams})(0.03125)[/tex]

[tex]\:\:\:\:= 1.56\:\text{grams}[/tex]

Answer:

5

Step-by-step explanation:

25 = 5 x 5

45 = 5 x 9

Hey there!

25: 1, 5, & 25

because: 5 * 5 = 25 & 1 * 25 = 25

45: 1, 3, 5, 9, 15, 45

because: 1 * 45 = 45, 3 * 15 = 45, & 5 * 9 = 45

Common factors: 1 & 5

The bigger number of those two is 5

Therefore, your possible answer is: 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

2x² - 4x + 1

By taking out 2x from 2x² - 4x as common, we get

2x² - 4x + 1

2x(x-2)+1

Answer:

[tex]2x^2-4x+1=2(x-1)^2-1[/tex]

Step-by-step explanation:

[tex]2x^2-4x+1\\\\=2(x^2-2x)+1\\\\=2(x^2-2x+1-1)+1\\\\=2(x-1)^2-2+1\\\\=2(x-1)^2-1\\[/tex]

Answer:

Simplifies to:

5.991339a^5b^3

Answer:

15

Step-by-step explanation:

factorise your numbers

1x 30

2x 15

3x10

etc

go through all the numbers up till there isnt any more numbers then find the largest and common one between the two numbers

Answer:

47

Step-by-step explanation:

According to the number system 7 lines and 12 dots, a line is 5 and a dot is 1

you do 5*7+12 which is equal to 47

So the answer is 47,

Hope this helps!

First look at the chart and then convert each symbols to their respective numbers

[tex]\\ \tt\longmapsto 6+14+13+4+0+10[/tex]

[tex]\\ \tt\longmapsto 20+17+10[/tex]

[tex]\\ \tt\longmapsto 37+10[/tex]

[tex]\\ \tt\longmapsto 47[/tex]

Answer:

a = 2 and b = -1.

Step-by-step explanation:

We want to show that the equation:

[tex]\displaystyle \log_{2} \left( y + 1\right) - 1 = 2\log_{2} x[/tex]

Can be rewritten as:

[tex]\displaystyle y = ax^2 + b[/tex]

Where a and b are integers.

Note that:

[tex]\displaystyle 1 = \log _{2} 2[/tex]

Hence:

[tex]\displaystyle \log_{2} \left( y + 1\right) - \log _2 2= 2\log_{2} x[/tex]

From logarithmic properties:

[tex]\displaystyle \log_2 \left(\frac{y+1}{2}\right) = 2\log_2 x[/tex]

Likewise:

[tex]\displaystyle \log_2 \left(\frac{y+1}{2}\right) = \log_2 x^2[/tex]

For the logs to be equivalent, the inner equations must be equivalent. Hence:

[tex]\displaystyle \frac{y+1}{2} = x^2[/tex]

Simplify:

[tex]\displaystyle y = 2x^2 - 1[/tex]

In conclusion, a = 2 and b = -1.

Answer:

Step-by-step explanation:

1) 2x + 246 = 360° (Vertically opposite and angle at a point)

2x = 360 - 246

2x = 114°

x = 114 / 2

x = 57°

3) Since <ABD is a right angle (i.e its sum is 90°)

<CBD = 90° - 75° = 15°

5) <1 = <2 (Vertically opposite angles are equal)

12x + 3 = 10x + 15

12x - 10x = 15 - 3

2x = 12

x = 6

Therefore,

<2 = 10(6) + 15

<2 = 75°

Answer:

92, 184, 276, 368, 460, 552, 644, 736, 828, 920

Step-by-step explanation:

hope this helps :D

brainliest appreciated

Answer:

100%

Step-by-step explanation:

There are no causes :)

Answer:

51.639-38.709

18.63-5.7

Step-by-step explanation:

Hope it helps...

Answer:

Maggie is 13 years old.

Step-by-step explanation:

The explanation is attached.

Answer:

2^3 .3^2

Step-by-step explanation:

if 2×2×2 = 8

and 3×3=9 then 8×9=72

Answer:

2³ × 3²

Step-by-step explanation:

Repeatedly divide by 2 until finish, then divide by 3

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 2 = 9 , then

9 ÷ 3 = 3

3 ÷ 3 = 1 ← finish when 1 is reached

Then

72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²

Answer:

y = 4

Step-by-step explanation:

7y -2 = 26

    +2    +2

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

    7y = 28

    ----   -----

     7       7

      y = 4

Hope this helped.

Lets do

[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]

Lets take an example

[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]

[tex]\\ \sf\longmapsto 5(2)+2[/tex]

[tex]\\ \sf\longmapsto 10+2[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Answer:

B is most likely the answer

Step-by-step explanation:

4 1/2 * 2= 9 so 15-9= 6

Pears weight is 6 Ibs and

4 1/2 *2 would make the most sense

Answer:

5.9

Step-by-step explanation:

Did you mean rounding?

8 is in the tens place, and 9 is in the hundreds place. If the number in the hundreds place is greater than the number in the tens place, the tens place moves up by 1.

So 5.89 becomes 5.9

Answer: The answer is 74

Answer:

4. {2,4,6,8}

5. [(-2, -1), (1, 8)}

9. {0, 2}

Step-by-step explanation:

The intersection of the given sets is the set that contains elements common to all of the given the sets.

[tex]\\ \sf\longmapsto -15-|15-|-15||[/tex]

[tex]\\ \sf\longmapsto -15-|15-15|[/tex]

[tex]\\ \sf\longmapsto -15-|0|[/tex]

[tex]\\ \sf\longmapsto -15-0[/tex]

[tex]\\ \sf\longmapsto -15[/tex]

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: -15- \left| 15- \right| -15 \left| \right|[/tex]

The absolute value of a real number 'a' is 'a' when [tex]\sf\:a\geq 0[/tex], or '-a' when a < 0. The absolute value of -15 is 15.

[tex] \sf \: -15-|15-15| [/tex]

Subtract 15 from 15 to get 0.

[tex] \sf \: -15-|0| [/tex]

The absolute value of a real number 'a' is 'a' when [tex]\sf\:a\geq 0[/tex], or '-a' when a < 0. The absolute value of 0 is 0.

[tex] \sf \: -15-0 [/tex]

Subtract 0 from -15 to get -15.

[tex] \boxed{ \boxed{ \bf \: -15 }}[/tex]

Answer:Complementary angles are two angles whose sum is 90 degrees.

Let x represent one of the angles.

The other angle which is 84.2 degrees less would be x - 84.2.

Using this, we can write an equation.

x + (x-84.2) = 90.

Combine like terms:   2x - 84.2 = 90

Add 84.2 to both sides of the equation.

2x = 174.2

Divide by 2:  x = 87.1  

and x - 84.2 would equal 2.9.       to check: does  87.1 + 2.9 = 90?  yes.

Step-by-step explanation: Thats as close as its gonna it i think

The probability that a student will be picked from a AP statistics class is 0.06

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 is certainty

Probability = sample space / total possible outcome

the total possible outcome is 450 students

the number of students that take AP statistics alone = 39- 12= 27students

therefore probability of choosing from AP statistics= 27/450= 0.06

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

m<P=60°

Refer to the attachments

The yintercept is (0,0)

The reason why is because that is the place that intersects the y axis.

Step-by-step explanation:

Let the number of students be x,

Now,

7% of x = 1400

or, 7/100 X x = 1400

or, x = 1400 x 100

—————

7

or, x = 140000/ 7

or, x = 20000

Thus, there are 20,000 students

Answer:

Step-by-step explanation:

Combination of pairs of paper slips:

A pair of 50 with 130 and 42 with 138 are the two pairs of supplementary angles.

The probability is:

Step-by-step explanation:

Apply combination

P(supplementary)