Which number line and expression show how to find the distance from 4 to 1

Answer:

[tex]n = \frac{1}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

85,524 bacteria

Step-by-step explanation:

Given the population of bacteria modelled by the equation where;

[tex]P_t = P_0\cdot 2^{\frac{t}{d}[/tex]

P0 is the initial population

t is the time in hours

d is the doubling time

If the culture of bacteria has an initial population of 12000 bacteria, this means that;

at t = 0, P0 = 12000

substitute into the modelled function

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{0}{d}\\\\\\P_t =12000\cdot 2^{0}\\\\P_t = 12000[/tex]

If the population doubles every 6 hours

at t = 6, Pt = 24000

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\\\24000 = 12000\cdot 2^{\frac{6}{d}\\\\\\\\24000/12000 = 2^{\frac{6}{d}\\\\\\\\[/tex]

[tex]2 = 2^{\frac{6}{d} }\\1 = 6/d\\d = 6\\[/tex]

Next is to get the population of bacteria in the culture after 17 hours

at t = 17, Pt = ?

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{17}{6}\\\\\\\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000 * 7.127\\P_t = 85,524.3[/tex]

Hence the population of bacteria in the culture after 17 hours, to the nearest whole number is 85,524 bacteria

Answer:Pt 85526.2769 = 85526

Step-by-step explanation:

Answer:

X =1/(b2x+2b)

Step-by-step explanation:

bx2 +2x +1/b = 0

bx2+2x=1/b

bx2(b) +2bx = 1

x(b2x+2b)=1

x=1/(b2x+2b)

here I am! dunno if this is the question you meant but you haven't gotten an answer here yet.

Answer:

B) Exactly one solution. (-3.5)

Step-by-step explanation:

5x + 8 - 7x = -4x + 1

combine like terms

5x - 7x + 8 = -4x + 1

-2x + 8 = -4x + 1

add 4x to both sides

-2x + 4x + 8 = -4x + 1 + 4x

2x + 8 = 1

subtract 8 from both sides

2x + 8 - 8 = 1 - 8

2x = -7

divide both sides by 2.

x = -3.5

3.5, clearly, is only one number.

Answer:

28$ more

Step-by-step explanation:

To answer this you'll need to subtract $354 out of $381.

You should get 27 (or $27).

That means that the canoe costs $27 more then the rowboat.

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Sorry if this is unhelpful.

Answer:

The answer is D: Yes, BD = 7 and CE = 7

Step-by-step explanation:

B--> -5

D --> 2

-5 + BD = 2

BD = 7

C--> 0

E --> 7

0+CE=7

CE = 7

The answer is D

Answer:

-7°F/hour.

Step-by-step explanation:

If the total change is -28°F, and we know it took 4 hours, we just have to divide the total change by hours taken to get the change per hour.

So we do the following: [tex]\frac{-28F}{4} = -7F/h[/tex]

So the temperature changes (drops) by -7°F/hour.

===================================================

Explanation:

Find the prime factorization of each value. A factor tree may help.

10 = 2*5

30 = 2*3*5

45 = 3*3*5

We see that '5' is found in each of the factorizations. This is the only factor that shows up in all three values, and it only shows up one time. So that's why 5 is the GCF.

Answer:

2, 4, 6, 8, 10

Step-by-step explanation:

This is a sequence that answers the question. Hope it helped

Answer:

6 miles

Step-by-step explanation:

15.50-5 is 10.50 and 10.50/1.75 is 6

hope this helped also could i get brainliest?

Answer:

31

Step-by-step explanation:

Depth Changes:

1. down 25 feet

2. down 10 feet

3. up 7 feet

4. down 3 feet

If we form this into an equation, we get:

25+10-7+3 = 31

Answer:

(- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus

midpoint = [tex]\frac{-6-4}{2}[/tex], [tex]\frac{1+3}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

Answer:

There are 20 boys

Step-by-step explanation:

Answer:

1/3  of all the students called in to inform the school about missing school this day

Step-by-step explanation:

4/5 = students that call the school to inform the school office

only 7/12 attended Calvin Middle School

To get the number of students that missed Calvin Middle School = 1 -  number of students that attended Calvin Middle School

= 1 - 7/12 = (12-7) / 12

= 5 /12

The fraction of all students that called in to inform the school about missing school this day is:

5/12 x 4/5 = 1/3

Answer:

1.837 X 10^9 is 5103 times greater than 3.6x10^5

Step-by-step explanation:

1.837 X 10^9 =

Calculate the value

Solution

1,837,000,000

3.6x10^5

Evaluate the power

3.6 x 100,000

Multiply the numbers

360,000

Solution

360,000

Divide

1,837,000,000 / 360,000

Solution  

5102.77778

Round

5103

1,837,000,000 > 360,000

Answer:

This expression reminds me a lot of Fermat's last theorem x^n+y^n=z^n where n is three(odd). Which is one of many famous diophantine equations such as the well known pythagorean theorem a^2+b^2 = c^2. Where one of the variables should be even, and all are coprime. The parity is odd since it has a remainder and is not evenly divisible. It has been proven that Fermat's last theorem does not have any real solutions because you would need a complex number to cancel out the cubes. You will also see that x^n+y^n=z^n does not have any solutions if n>=3. This cannot be factored either since the numbers are rational.

Answer:

x=14

Step-by-step explanation:

-2x/7=3x-46

7(-2x/7)=7(3x-46)

-2x=21x-322

-23x=-322

x=14

Answer:

7/12 is the answer

Rearrange the polynomial:

a^2–2ab+b^2 - c^2

((a-b)(a-b))-c^2

(a-b)^2-c^2

Set x =a-b and y=c. The formula becomes

x^2-y^2

factoring this polynomial, we get

(x+y)(x-y)

Substituting back, we get:

(a+b+c)(a+b-c)

Let’s multiply it out to check:

A^2 -ab ac

- ab B^2 -bc

-ac bc -c^2

Answer:

Step-by-step explanation:

Use of formula:

Factoring the expression

Step-by-step explanation:

Do you mean?

[tex] \frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} } [/tex]

If so:

[tex]3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3} [/tex]

Did the question specify which quadrant? I'm just going to assume that it's the first

(as tangent = opp/adj)

hence

Hypotenuse:

[tex] \sqrt{{3}^{2} + {4}^{2} } = 5[/tex]

[tex] \sin(x) = \frac{4}{5} [/tex]

Finally,

[tex] \frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9} [/tex]

Answer:

the better one to buy is a box of 36 pens for $5.76. because it is cheaper per pen.

Step-by-step explanation:

4.32 / 24 = 0.18 cents a pen

5.76 / 36 = 0.16 cents a pen

Answer:

The object hits the ground 8 seconds after launch.

Step-by-step explanation:

Let [tex]h(t) =-16\cdot t^{2}+96\cdot t + 256[/tex], where [tex]h[/tex] is the height of the object above the ground, measured in feet, and [tex]t[/tex] is time, measured in seconds. We notice that given expression is a second-order polynomial and hence, there are two roots, one of them corresponding to the instant when the object hits the ground. If [tex]h(t) = 0[/tex], we get the following expression:

[tex]-16\cdot t^{2}+96\cdot t +256 = 0[/tex] (Eq. 1)

Roots are found by applying the Quadratic Formula:

[tex]t_{1,2} = \frac{-96\pm\sqrt{96^{2}-4\cdot (-16)\cdot (256)}}{2\cdot (-16)}[/tex]

[tex]t_1 = 8\,s[/tex] or [tex]t_{2} = -2[/tex]

Only the first root offer a solution that is physically reasonable. Thus, the object hits the ground 8 seconds after launch.

Answer: C. Rickys rate was 0.25 more per hour" .

Step-by-step explanation:

Susan received $27 for 6 hours of work. Susan's rate we hour will be:

= $27/6

= $4.5

Ricky received $14.25 for 3 hours of work. Ricky's rate will be:

= $14.25/3

= $4.75

From the option given, the correct option is C "Rickys rate was 0.25 more per hour" .

This is because $4.75 - $4.5 = $0.25

Answer:

That will be 0.00512

Answer: C. The digit in the hundredths place moves to the tens place.

Step-by-step explanation:

In 21.63,

place value of 2 = tens

Place value of 1 = ones

Place value of 6 = tenths

Place value of 3 = hundredths

21.63 × 10^3 = 21.63 × 1000 = 21630

From here , we can see that the digit in the hundredths place which is 3 has moved to the tens place.

Therefore, C is the answer.

Answer:

I think it’s C

Step-by-step explanation:

Answer:

y = 7 - 2x

Step-by-step explanation:

Step 1:

2x + y = 7               Equation

Step 2:

y = 7 - 2x          Subtract 2x on both sides

Answer:

y = 7 - 2x

Hope This Helps :)