log 55 is the power to which ---- must be raised in order to produce a value of 55

Step-by-step explanation:

Use phytogoras theorem

[tex] \sqrt{ {29}^{2} } - \sqrt{ {21}^{2} } \\ \\ \\ square \: root \: the \: whole \: eq \\ \\ \\ = 20cm[/tex]

Hope this is correct and helpful

HAVE A GOOD DAY!

Answer:

r=7, Center:(4,8)

Step-by-step explanation:

( x - h )^2 + ( y - k )^2 = r^2 is the general formula for circle where radius is square root of r^2 and the center is (h,k).

Answer:

-0.5

Step-by-step explanation:

Answer:

A' (8,16)

B' (8,-4)

C' (-16,4)

Answered by GAUTHMATH

The complete table of the function is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

The equation missing from the question is:

[tex]y = 72 - 12x[/tex]

To complete the table, we simply calculate the y value for each x value;

When [tex]x = 0[/tex],     [tex]y = 72 - 12 * 0 = 72[/tex]

When [tex]x = 1[/tex],     [tex]y = 72 - 12 * 1 = 60[/tex]

When [tex]x = 2[/tex],     [tex]y = 72 - 12 * 2 = 48[/tex]

When [tex]x = 3[/tex],     [tex]y = 72 - 12 * 3 = 36[/tex]

When [tex]x = 4[/tex],     [tex]y = 72 - 12 * 4 = 24[/tex]

When [tex]x = 5[/tex],     [tex]y = 72 - 12 * 5 = 12[/tex]

When [tex]x = 6[/tex],     [tex]y = 72 - 12 * 6 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.

See attachment for graph

Learn more about graphs at:

https://brainly.com/question/20106471

Answer:

Step-by-step explanation:

Answer:

325 minutes

Step-by-step explanation:

We can use a ratio to solve

25 minutes         x  minutes

------------------  = ---------------

1 burger                   13 burgers

Using cross products

25*13 = 1x

325 = x

325 minutes

Answer:

325 minutes or 5 hours and 25 minutes

Step-by-step explanation:

If it takes 25 minutes to fry a single burger, assuming only one burger can be made at a time, you must multiply the time per burger by how many burgers are made. So. 25(13) = 325 minutes or 5 hours and 25 minutes.

Answer:

The answer to this question is 80 times.

Answer:

80

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

A -1,7

B 1,5

C -2,4

Step-by-step explanation:

Answer:

Step-by-step explanation:

quadratic equation is 4(x+2)(x+5)=0

4(x²+5x+2x+10)=0

4x²+28x+40=0

Answer:

f(x) = 4(x+2)(x+5)

Step-by-step explanation:

The quadratic function is

f(x) = a(x-b1)(x-b2)  where a is a coefficient and b1 and b2 are the zeros

f(x) = a(x --2)(x--5)

f(x) = a(x+2)(x+5)

The leading coefficient is a and we know a =4

f(x) = 4(x+2)(x+5)

Answer:

b) y

Step-by-step explanation:

joannes speed = 250/2.5 =100km/h

francois speed = 100-10 = 90km/h

after 5h, francois would have travelled 450

Answer:

4/3

Step-by-step explanation:

To find the slope, we can use the slope formula

m= (y2-y1)/(x2-x1)

   = ( -1 - -13)/( 3 - -6)

    = (-1+13)/( 3+6)

   = 12/9

   = 4/3

Answer:

G. [tex]\displaystyle \frac{4}{3}[/tex]

Step-by-step explanation:

Hi there!

[tex]slope=\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex]  where two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-6,-13) and (3,-1)

[tex]slope=\displaystyle \frac{-1-(-13)}{3-(-6)}\\\\slope=\displaystyle \frac{-1+13}{3+6}\\\\slope=\displaystyle \frac{12}{9}\\\\slope=\displaystyle \frac{4}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle \frac{4}{3}[/tex].

I hope this helps!

Answer:

8.6023

Step-by-step explanation:

length = √[(x2-x1)^2+(y2-y1)^2]

=√[(1-6)^2+(-1--8)^2] =√74 =8.6023

Answer:

3rd option

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1  ( subtract sin²x from both sides )

cos²x = 1 - sin²x ( take the square root of both sides )

cosx = ± [tex]\sqrt{1-sin^2x}[/tex]

Given

sinθ = [tex]\frac{21}{29}[/tex] and 0 < θ < 90 , then

cosθ

= [tex]\sqrt{1-(\frac{21}{29})^2 }[/tex]

= [tex]\sqrt{1-\frac{441}{841} }[/tex]

= [tex]\sqrt{\frac{400}{841} }[/tex] = [tex]\frac{\sqrt{400} }{841}[/tex] = [tex]\frac{20}{29}[/tex]

Answer:

1 1/4 cups I think..

Step-by-step explanation:

1/4 times 4 is 1, plus another 1/4 for the 5th friend is 1 1/4 cups.

Answer:

[tex]\frac{5}{4}[/tex] or [tex]1\frac{1}{4}[/tex] cups

Step-by-step explanation:

This question asks how much total sugar will be needed for 5 servings of 1/4 cup. In other words, this is asking for 1/4 cup to be added together 5 times. However, repeated addition is just multiplication, so this can become a multiplication problem. To do this make both terms a fraction by putting 5 over 1. This looks like: [tex]\frac{5}{1} *\frac{1}{4}[/tex]. Then, simply multiply the numerators together and the denominators together. This equals [tex]\frac{5}{4}[/tex]. If needed this can be put into the mixed fraction of [tex]1\frac{1}{4}[/tex] cups.

Answer:

1:1:√ 2

Step-by-step explanation:

Answer:

u = 14

v = 14

Step-by-step explanation:

since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u

so, we can use Pythagoras

(14×sqrt(2))² = u² + u² = 2u²

196×2 = 2u²

196 = u²

u = 14 = v

Answer:

83,55,41

Step-by-step explanation:

1/10 : 1/15 : 1/20

180/10 : 180/15 : 180/20

18 : 12 : 9

=> 6 : 4 : 3

Sum of the ratios = 6 + 4 + 3 = 13

1st ratio: (6/13) * 180 = 83       (approximately)

2nd ratio: (4/13) * 180 = 55     (approximately)

3rd ratio: (3/13) * 180 = 41       (approximately)

∴ Three parts of 180 in the ratio 6 : 4 : 3 is 83, 55 and 41

Answer:

cos203° = - p

Step-by-step explanation:

Using the addition formula for cosine

cos(a + b) = cosacosb - sinasinb

cos203°

= cos(180 + 23)

= cos180°cos23° - sin180°sin23°

= cos180°. p - 0

= - 1 . p

= - p

Answer:

22.2 m.

Step-by-step explanation:

They walk in a right triangle.

First they walk 7 then 6 m = 13 m.

We calculate the distance of the diagonal using Pythagoras:

x^2 = 6^2 + 7^2 = 85

x = √85

= 9.2 m. yo nearest 1/10.

Answer is 13 + 9.2

= 22.2 m.

Answer:

(-2, 21) and (2, -11)  let me know if anything didn't make sense

Step-by-step explanation:

Try and put the symbols in, so for x to the third power write x^3  just makes it all much easier.

The turning point is when a graph changes from increasing to decreasing, or the other way around.  What this means is that its slope is changing from positive to negative, or the other way around.  

The derivative allows you to find the slope at any point of a graph.  If you are unfamiliar witht his concept let me know and I can go more into it.  

Since the derrivative tells you the slope, if you find a spot where it equals 0 then you know before that point it was positive or negative, and then after that point it was the opposite.  In other words it changes, so it's exactly what we are looking for.  Also if a derrivative is ever non existant, like in the square root function the numbers under the square root cannot be negative, so any x value that makes them negative doesn't exist, this means you would want to check these point too because they can be turning points as well.

There are certain special cases where a derivative does not coss 0, and if that happens then the original function does not have a turning point.  So keep that in mind.

The derivative is 3x^2 - 12.  So we want to find when this equals 0.   We also know it always exists so only need to worry about the 0s. Hopefully you are familiar with quadratics having two zeroes, if not let me know.

3x^2 - 12 = 0

3x^2 = 12

x^2 = 4

x = 2 and-2

So these are the turning points.  You should double check though and choose an x value below -2, then between -2 and 2, then larger than 2 and make sure the signs swap.

These are the x values of the turning points.  Solve f(x) at these points to find the y values.  so f(-2) = (-2)^3 - 12(-2) + 5 = 21 and f(2) = -11  so now we know the turning points are (-2, 21) and (2, -11)

The coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

An equation containing derivatives of a variable with respect to some other variable quantity is called differential equations. The derivatives might be of any order, some terms might contain product of derivatives and the variable itself, or with derivatives themselves.

The turning point is when a graph changes from increasing to decreasing, or the other way around that means, its slope is changing from positive to negative.

Given that the derivative of f(x) = x³ – 12x + 5 is 3x² - 12.

Since the derrivative tells the slope, if you find a spot where it equals 0 then before that point it was positive or negative, and then after that point it was the opposite.

The derivative is 3x² - 12.

3x² - 12 = 0

3x²  = 12

x²  = 4

Thus, x = 2 and-2

So, these are the turning points.  

Now Solve f(x) at these points to find the y values.  

so f(x) = x³ – 12x + 5

f(-2) = (-2)³ - 12(-2) + 5 = 21

f(2) = -11  

Hence, the coordinates of the turning points of f(x) are (-2, 21) and (2, -11).

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Step-by-step explanation:

+ Both equations

You will get : 5x=13 ; x=13/5

and put x to the first equation

2*13/5-y=4

y=6/5

(13/5;6/5)

Answer is C

Step-by-step explanation:

Given

x = 3/4

y = -2/5

Now

X + y = 3/4 - 2/5

[tex] \frac{3 \times 5 - 2 \times 4}{20} [/tex]

[tex] = \frac{15 - 8}{20} [/tex]

[tex] = \frac{7}{20} [/tex]

Answer:

7/20

Step-by-step explanation:

x=3/4

y= -2/5

x+y=?

to get the sum, plug in x=3/4 into the x and y= -2/5 into the y

1. x + y = ?

2. 3/4 + (- 2/5) = ?

3. 3/4 - 2/5 =?

4. find the lcm of 4 and 5 to get the common denominator (in this case, the lcm of 4 and 5 is 20)

5. multiply 3/4 by 5 (numerator and denominator) and 2/5 by 4 (numerator and denominator)

6. 15/20 - 8/20 = 7/20

the answer is 7/20

Answer:

58.3333

Step-by-step explanation:

make 14/24 into a fraction with a denominator of 100, and you get 58.333333 over 100

Lucy's dog sleeps for 58.3% of the whole day.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.

Given that, Lucy's dog sleeps 14 hours a day, we need to find that how much percent of the total day, her dog sleeps.

We know, there are 24 hours in a day,

Percentage = 14% of 24

= 24x14/100

= 58.3333333333 ≈ 58.3%

Hence, Lucy's dog sleeps for 58.3% of the whole day.

Learn more about percentage,

https://brainly.com/question/29306119

#SPJ6

Answer:

Hours of labor needed  = 8 hour

Step-by-step explanation:

Given:

Amount total charged = $715

Listed amount = $315

Hourly rate for labor = $50

Find:

Hours of labor needed

Computation:

Total amount of labour = Amount total charged - Listed amount

Total amount of labour = 715 - 315

Total amount of labour = $400

Hours of labor needed  = Total amount of labour / Hourly rate for labor

Hours of labor needed  = 400 / 50

Hours of labor needed  = 8 hour

Answer:

x = 240

Step-by-step explanation:

Apply the leg rule to find the value of x.

Leg rule is given as:

Hypotenuse/leg 1 = leg 1/part 1

Hypotenuse = 400

Leg 1 = x

Part 1 = 144

Plug in the known values into the formula

400/x = x/144

Cross multiply

x*x = 144*400

x² = 57,600

Take the square root of both sides

√x² = √57,600

x = 240

Answer:

the log function is the "inverse" function of an exponential function

by definition  [tex]log_{a} b = c[/tex]  then [tex]a^{c} = b[/tex]

in this problem you have [tex]log_{10} 100[/tex]

thus what x solves this ?  [tex]10^{x} = 100[/tex]  the answer is [tex]10^{2}[/tex]

thus (100,2)

B) the x intercept is when y = 0

   [tex]10^{0} = 1[/tex]

   x intercept at (1,0)

C) at 100, the curve will hit y = 5000

Step-by-step explanation:

Answer:

75.7

Step-by-step explanation:

Area of the sector,

17²×π×30/360

= 289π/12

= 75.7 (rounded to the nearest tenth)

Answered by GAUTHMATH