A runner burns 100 Calories for every 15 minutes spent running. How many hours of running would it take for a runner to burn 600 Calories?

Answer:

Proof below

Step-by-step explanation:

Irrational and Rational Numbers

We need to use the basic property of logarithms:

[tex]log_b\ a=x\ \ \Rightarrow b^x=a[/tex]

We are given:

[tex]log_3\ 7[/tex]

And we will prove it's an irrational number, i.e., it's not a rational number.

Recall a rational number can always be expressed as a fraction a/b, where a and b are integer numbers. Thus, if the expression was a rational number, then:

[tex]\displaystyle log_3\ 7=\frac{a}{b}[/tex]

Applying the property:

[tex]\displaystyle 3^{\frac{a}{b}}=7[/tex]

Raising to the power of b:

[tex]3^a=7^b[/tex]

It's not possible to find two integers a and b that satisfy the condition above. That contradiction comes from the assumption that [tex]log_3\ 7[/tex] is rational, thus, it's proven [tex]log_3\ 7[/tex] is irrational.

Answer:

(a) Only A and B

Answer:

x = 75

Step-by-step explanation:

1. Find the inner angle (opposite from where x is), using the outer angle of 150.

Note: these two angles are supplementary, meaning that they add up to 180 degrees.

Since the outer angle is 150, the inner angle is 30 degrees because 150+30 = 180.

2. Find the other two angles to get x.

The red markings on the two sides of the triangle indicate that this is an isocoleses triangle. Isocoleses triangles have two congruent angles. This means that the remaining two angles will be the same.

With that in mind, recall what I said about the angles being supplementary. All angles in a triangle add up to 180. So, use the following equation and solve for x.

2x + 30 = 180 (Subtract 30 from both sides)

2x = 150 (divide by 2)

x = 75

3. x = 75

Answer:

X = 65 degrees

Step-by-step explanation:

180 - 150 = 30 the angle beside the 150 degrees

180 - 30 = 130    180 degrees is the sum of all three angles in a triangle

130/2 = 65    since both sides are equal the other 2 angles are the same

Answer:

the answer is 18.

Step-by-step explanation:

The total percentage increase in the investor's stock account is 14.5%.

The percentage refers to the portion or ratio of a variable concerning another.

Like ratios, percentages are stated with the percentage sign (%).  We also use percentages to show proportions.

For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.

Whereas the dollar increase is $772, in percentage terms, it is 14.5%.

                               Company A       Company B       Total

Investments                $2,220             $3,100           $5,320

Increase in value          25%                   7%

Dollar increase             $555                $217               $772

Total percentage increase = 14.51 % ($772/$5,320 x 100)

Thus, the total percentage increase in the investor's stock account is 14.5%.

Learn more about percentages at brainly.com/answer expert verified

#SPJ1

Not exactly correct.

y=mx+b Slope is m and y intercept is b.

So, here count the units for the slope. it goes barley to the 7th box. Now, count the units for the y intercept. It goes to the fourth box.

Thus, your equation is y=7x+4

[tex]\underline{Hope\;it\;helps\;out!}[/tex]

Answer:

hi im zachary Grace im a male please wait while i type your awsner ;) So, m = 180 - 110 or 70°. interior angles, so they have the same measure so i think its A or B i tried hope this helps

Answer:

choice b

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

i just divided 448 and 16 and got that, om on that same question

here is how to divide that so you know on  your own

Step 1:

Start by setting it up with the divisor 16 on the left side and the dividend 448 on the right side like this:

 1 6 ⟌ 4 4 8

Step 2:

The divisor (16) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

 1 6 ⟌ 4 4 8

Step 3:

Multiply the divisor by the result in the previous step (16 x 0 = 0) and write that answer below the dividend.

       0    

 1 6 ⟌ 4 4 8

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

 1 6 ⟌ 4 4 8

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (4) like this:

       0    

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

Step 6:

The divisor (16) goes into the bottom number (44), 2 time(s). Therefore, put 2 on top:

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

Step 7:

Multiply the divisor by the result in the previous step (16 x 2 = 32) and write that answer at the bottom:

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

       3 2  

Step 8:

Subtract the result in the previous step from the number written above it. (44 - 32 = 12) and write the answer at the bottom.

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2  

Step 9:

Move down the last digit of the dividend (8) like this:

       0 2  

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

Step 10:

The divisor (16) goes into the bottom number (128), 8 time(s). Therefore put 8 on top:

       0 2 8

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

Step 11:

Multiply the divisor by the result in the previous step (16 x 8 = 128) and write the answer at the bottom:

       0 2 8

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

       1 2 8

Step 12:

Subtract the result in the previous step from the number written above it. (128 - 128 = 0) and write the answer at the bottom.

       0 2 8

 1 6 ⟌ 4 4 8

     - 0    

       4 4  

     - 3 2  

       1 2 8

     - 1 2 8

           0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 448 divided by 16 calculated using Long Division is:

28

0 Remaind

Answer:

(f - g)(x) = 2x - 3

Step-by-step explanation:

(f - g)(x) is defined as subtracting the whole g(x) function from the f(x) function.

Hence, we can define it as:

(3x - 1) - (x + 2)

= 3x - x - 1 - 2

= 2x - 3

Therefore, (f - g)(x) = 2x - 3.

Hope this helped!

Answer:

CI  = ( 36,6  ;  41,4 )

Step-by-step explanation:

CI = 99,9  %       α = 0,1 %      α = 0,001

We find z scre for α = 0,001 in z -table

z(s) = - 3,08

CI =  μ₀  ±  MOE          where    μ₀  = 39 min  and   MOE = z(s) * σ/√n

CI = 39  ±   3,08 * 4,8 / √37

CI = 39  ±   2,4315

CI  = ( 36,6  ;  41,4 )

Step-by-step explanation:

Since y = (x + 3)(x + 3), the root is x = -3.

Only Graph A touches the x-axis once.

Given:

The number is -6.

To find:

The inverse with respect to addition of the given number.

Solution:

We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.

We know that, the sum of a number and its additive inverse is 0.

Let the additive inverse of -6 be x. Then,

[tex]-6+x=0[/tex]

Adding 6 on both sides, we get

[tex]-6+x+6=0+6[/tex]

[tex]x=6[/tex]

Therefore, the inverse with respect to addition of -6 is 6.

Answer:hehdjjdjfhrjrg

Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr

Answer:

SSS (Side Side Side)

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

SAS (Side-Angle-Side)

A second way to prove the congruence of triangles is to show that two sides and their included angle are congruent. This method is called side-angle-side. It is important to remember that the angle must be the included angle--otherwise you can't be sure of congruence. When two sides of a triangle and the angle between them are the same as the corresponding parts of another triangle there is no way that the triangles aren't congruent. When two sides and their included angle are fixed, all three vertices of the triangle are fixed. Therefore, two sides and their included angle is all it takes to define a triangle; by showing the congruence of these corresponding parts, the congruence of each whole triangle follows.

Answer:

7:45 AM I believe:)

Step-by-step explanation:

Answer: 47?

Step-by-step explanation:

Answer:

Step-by-step explanation:

She has 80% of the total amount she had before she sold any. Can't solve any further for you, unless you provide me the number sold or the amount she had before she sold them.

Answer:

no

Step-by-step explanation:

Answer:

2.16

Step-by-step explanation:

8 2/3 / 4 or 8.166/4

= 2.16 (don't round up because they all have to be equal)

Answer:

I'm in the 8th grade and I could probably help you out

Step-by-step explanation:

Answer:

x= 1/25

Step-by-step explanation:

Answer:

[tex]\boxed{f(n) = 4n + 16 }[/tex]

.

Step-by-step explanation:

We know that it is arithmatic squence

with a = 20 and b = 4

.

So

[tex]Un = a + (n - 1)b[/tex]

[tex]Un = 20 + (n - 1)4[/tex]

[tex]Un = 20 + 4n - 4[/tex]

[tex]Un = 4n + 16[/tex]

.

Happy to help :)

Answer:

it is the repition image of something, how its made, i dont know the last one.

Step-by-step explanation:

Answer:

We conclude that after 6 drops how much liquid the scientist has added 0.84 mL.

Step-by-step explanation:

Given that the scientist adds drops of liquid to a test tube.

In order to determine the amount of liquid after 6 drops, all we need is to multiply 0.14 mL by 6.

i.e.

The amount of liquid in 6 drops = 0.14 × 6

                                                     = 0.84 mL

Therefore, we conclude that after 6 drops how much liquid the scientist has added 0.84 mL.

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

Answer:

Step-by-step explanation:

1. is 10

4. is 6

6. is $3.19

7. is $6

Answer:

B

Step-by-step explanation:

Answer:

The number is 6.

Step-by-step explanation:

Let the number be x then,

By the question,

2/3 * x + 10 = 14

2x / 3 = 14 - 10

2x / 3 = 4

Cross multiply ✖

2x = 12

x = 12/2

x = 6

Hope it helps. :)

Answer:

Double root / x = -3

Step-by-step explanation: