Circle F is congruent to circle j, and < EFD ≈

Answer:

[tex]1.345 * 10^{10[/tex]

Step-by-step explanation:

= 13450000000

Putting the decimal point after first non-zero digit

=> [tex]1.345 * 10^{10[/tex]

Answer:

1.345 × 10^10

Step-by-step explanation:

Put the decimal point after 1.

1.345

Multiply by a number that makes the decimal to 13450000000.

That number is 10^10.

Answer:  [tex]\bold{b)\quad \dfrac{\pi}{2}+n\pi,\ \dfrac{\pi}{4}+2n\pi}[/tex]

Step-by-step explanation:

cos x tan x - cos x = 0

cos x (tan x - 1) = 0

cos x = 0          tan x - 1 = 0

[tex]x=\dfrac{\pi}{2},\ \dfrac{3\pi}{2}[/tex]         tan x = 1

                         [tex]x=\dfrac{\pi}{4},\ \dfrac{5\pi}{4}[/tex]

Thanks! I hope my answer would be easy to understand.

Answer:

c. x - 2/3

Step-by-step explanation:

The given equation is f(x) = [tex]3x^4 - 5x^3 - 71 x^2 + 157x + 60[/tex]

To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.

For x - 3, x = 3

Substituting x = 3 into the given polynomial:

[tex]f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0[/tex]

x - 3 is a factor

For x - 4, x = 4

Substituting x = 4 into the given polynomial:

[tex]f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0[/tex]

x - 4 is a factor

For x - 2/3, x = 2/3

Substituting x = 2/3 into the given polynomial:

[tex]f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22[/tex]

x - 2/3 is  not a factor

For x + 1/3, x = -1/3

Substituting x = -1/3 into the given polynomial:

[tex]f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0[/tex]

x + 1/3 is  a factor

Answer:

1,800,000

Step-by-step explanation:

6x300=1800 kilograms

1800x1000=1,800,000

Answer:

-200, 0 and -5

Step-by-step explanation:

Area can never be zero or negative.

Answer:

An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal

Step-by-step explanation:

Inequality- is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Answer:

4. -1/2 and 2

5. N and R

Step-by-step explanation:

Well if you want me too do 5 I’ll do 4 too.

So for #4 it’s actually pretty simple we just have to seperate y that’s it.

So first we have to get y by itself by subtracting 3x to the other side so the equation looks like this now [tex]6y=-3x+12[/tex].

Now we have to take away the 6 and to do that we divide it to all the numbers and variables. Which gets us [tex]y=-1/2x+2[/tex].

So m and b are -1/2 and 2.

So we have to graph y = -1/2x + 2 so look at the image below.

So looking at the image we can see it passes through the points N and R.

Answer:

The line passes through points N and R.

Step-by-step explanation:

I graphed the equation on the graph below.

Answer:

k=(5x+6)/(3x+6) and k<3/5

Step-by-step explanation:

it is solved for k

and considering the condition for x<3:

So,

k=(5x+6)/(3x+6) and k<3/5

Answer:

the solution to the system of nonlinear equations is C. (0,3)

Answer:

6

Step-by-step explanation:

From the blue graph of f(x) we can see that the function value is -6 when x = 6.  Similarly, g(5) = -5.

Then:  4*f(6) - 6*g(5) becomes:

           4*(-6) - 6*(-5), or

              -24 +  30  = 6

The value of ⋅f(6)−6⋅g(5)= 6

An operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

Given:

From the blue graph we can see that

f(x)= -6 when x = 6.

Similarly, g(5) = -5.

thus,

4*f(6) - 6*g(5)

=3 4*(-6) - 6*(-5)

=-24 +  30

= 6

Learn more about this concept here:

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Answer:

The square root of 22 is around 4.69, so whatever point is closest to that will be your answer. :)

Answer:

b. 4.7

Step-by-step explanation:

Answer:

f(x + 1) = Five-halves f(x) (A)

Question:

The complete question as found in brainly( ID:13525864) is stated below.

Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.

Which is an equivalent representation?

f(x + 1) = Five-halvesf(x)

f(x) = Five-halvesf(x + 1)

f(x + 1) = Three-halvesf(x)

f(x) = Three-halvesf(x + 1)

Step-by-step explanation:

f(x) = (3/2)(5/2)^(x-1)

Where 3/2 = three-halves and 5/2 = (five-halves)

To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.

f(x) = (3/2)(5/2)^(x-1)

For x = 1

f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)

f(x) =(3/2)(1) = 3/2

For x = 2

f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)

f(x) =(3/2)(5/2)

So from the above assigned values

f(x=1) = 3/2

f(x=2) = f(x + 1) = f(1 + 1)

f(x + 1) = (3/2)(5/2)

Since f(x) = 3/2

f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)

From the options, an equivalent representation: f(x + 1) = Five-halves f(x)

(A)

Answer:

f(x + 1) = [tex]\frac{5}{2}[/tex]f(x)

Step-by-step explanation:

Answer:

Jo started decelerating at the 10th minute

His average speed for the last 30 minutes of the journey is 4/30 km/minute

Step-by-step explanation:

To get what Jo did at 10 minute, we look at the graph.

At the 10th minute, we can see that we have a sharp turn from the top to the zero position at the 20th minute

so we can say that Jo started deceleration at the 10th minute

For the last 30 minutes of the journey, he travelled a distance of 4km

So, mathematically, his average speed will be;

Distance/ time = 4km/30 minutes = 4/30 km/minute

The slope of a straight portion of the given distance time graph gives Jo's

speed in the region where the slope is calculated.

Reasons:

(a) From the distance time graph which gives the distance from the starting point, we have;

At minute 5, Jo's distance from the starting point is 0.5 km.

At minute 10, Jo's distance from the starting point is 1 km.

At minute 15, Jo's distance from the starting point is 0.5 km.

Therefore;

Jo turned round and started a journey back to his starting point at minute 10

(b) Jo's speed in the last 30 minutes of the journey is given by the ratio of

the rise and run of the graph as follows;

60 minutes = 1 hour

30 minutes = 0.5 hour

[tex]Speed = \dfrac{4 \, km - 0 \, km}{60 \, min - 30 \, min} = \dfrac{4 \, km - 0 \, km}{1 \, hr - 0.5 \, hr} = \dfrac{4 \, km}{0.5 \, hr} = 8 \, km/hr[/tex]

Jo's speed the last 30 minutes of the journey = 8 km/hr.

Learn more here:

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Answer:

Step-by-step explanation:

The formula for the area of a sector is

[tex]A=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle and r is the radius.

Our central angle is a right angle and the radius is 4, so filling in the formula looks like this:

[tex]A=\frac{90}{360}*\pi (4)^2[/tex] and

[tex]A=\frac{1}{4}*\pi (16)[/tex]

16 divides by 4 evenly, so

A = 4π.in²

If we multiply 4 by the value of π and then round, that number, to the nearest hundredth, is

A = 12.57 in²

Hey there! I'm happy to help!

To find our answer, we simply multiply the amount of water per mile by the number of miles to find the total amount Phillip drank!

2/3×4 1/2=3

Therefore. Phillip will drink 3 pints of water if he runs 4 1/2 miles.

Have a wonderful day! :D

Answer:

360 texts

Step-by-step explanation:

You get 15 points for each 3 texts.

That means you get 5 points per text.

1800/5 = 360

Answer: You need to send 360 texts.

Answer:

85.33333

Step-by-step explanation:

You would simply substitute 4 whenever there is an x.

f(4) = (1/3) * 4^4

= (1/3) * 16 * 16

= (1/3) * 256

= 256/3

= 85.3333333333333333333333333333333333333

which is about 85.3333, or 85 and 1/3, or 256/3.

Hope this helps!

Answer:

h=3V/πr²

Step-by-step explanation:

Answer:

3V / (pi r^2) =  h

Step-by-step explanation:

V= pi r squared h/3

Multiply each side by 3

3V = pi r^2 h /3  * 3

3V = pi r^2 h

Divide each side by pi r^2

3V / (pi r^2) = pi r^2 h /( pi r^2)

3V / (pi r^2) =  h

Answer:

[tex]\boxed{211.34 pints}[/tex]

Step-by-step explanation:

The best path for converting liters to pints is:

=> Multiply the liters by 2.1134

So,

100 liters = 100*2.1134 pints

=> 211.34 pints

Answer:

100L=211.338 Pints

Step-by-step explanation:

1L=2.11338 Pints

2.11338✖️100=move two decimal places to the right because of 2 zeros.

=211.338.

Hope this helped!

Explanation:

The V shape implies we are dealing with absolute value. So the answer must be choice A as its the only function that has absolute value. The negative out front flips the parent function f(x) = |x| over the x axis. Normally |x| is always positive (assuming x is not zero), so -|x| is always negative for nonzero x values.

Extra info: an absolute value graph is a piecewise function of two separate linear functions. In this case, the left branch is y = x and the right branch is y = -x.

Answer:

P(XX) = 69/190

Step-by-step explanation:

Given:

20 balls, 10R, 3B, 7W.

Two taken without replacement.

Find probability of two identical colours.

P(XX)

Solution:

We use the multiplication rule for the probability of each of the 2 draws

P(RR) = 10/20*9/19 = 90/380

P(BB) = 3/20*2/19 = 6/380

P(WW) = 7/20*6/19 = 42/380

Probability of drawing two identical coloured balls

P(XX) = (90+6+42)/380 = 138/380 = 69/190

Answer:

I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.

We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.

We have two different approaches to this:

First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.

Then, for the first digit, we have 4 options.

for the second digit, we have 3 options (because we already used one)

for the third digit, we have 2 options (because we already used 2)

then the number of combinations is equal to the product of the number of options for each selection:

C = 4*3*2 = 24 combinations.

The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)

we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:

C = 5*5*5 = 25*5 = 125 combinations.

Answer:

40m³

Step-by-step explanation:

[tex]\sqrt[3]{5}[/tex] = 1.709975947

1.709975947 × 2 = 3.419951893

3.419951893³ = 40

Answer:

volume of the box multiply scale factor

=5 × 2

=10m

Answer:

81 in²

Step-by-step explanation:

The 3-dimensional shape given is a square pyramid having a square base, and 4 right triangular side faces that are the same.

The surface area can be calculated by finding the area of the square base and the area of the 4 triangular side faces. Then sum all the areas together.

Or, we can use the following formula below: Base Area + ½(Perimeter of base) × Slant Length

Where,

Base area = s² = 5² = 25 in²

Perimeter of base = 4(s) = 4(5) = 20 in

Slant height = 5.6 in

Surface area = 25 + ½(20) × 5.6

= 25 + 10 × 5.6

= 25 + 56

Surface area = 81 in²

Answer: the value of the integral is in the range:

0.006  ≤  int ≤  0.008

Step-by-step explanation:

First, we have the function

5*tan(3x), and the range in this case is: pi/12 ≤ x ≤ pi/9

Then, the first step is find the maximum and minimum of f(x) in this range.

We know that between 0 and pi/2, tan(x) is a growing function, then

then the limits are

5*tan(3*pi/9) = 5*tan(pi/3) = M=  0.091

5*tan(3*pi/12) = 5*tan(pi/4) =m = 0.069

Then the value of the integral is between:

0.069*(3.14/9 - 3.14/12) ≤  int ≤  0.091*(3.14/9 - 3.14/12)

0.006  ≤  int ≤  0.008

Answer:

The answer is -p^3 r^5

Hope this helps :)

Answer:

[tex]=-p^3r^5[/tex]

Step-by-step explanation:

[tex]\left(-p\right)^3r^5\\\\\left(-p\right)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\mathrm{if\:}n\mathrm{\:is\:odd}\\\\\left(-p\right)^3=-p^3\\\\=-p^3\\\\=-p^3r^5[/tex]

Hey there! :)

Answer:

x = -6.

Step-by-step explanation:

Given:

[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]

Cube both sides:

5x - 4 = 7x + 8

Subtract 5x from both sides:

-4 = 2x + 8

Subtract 8 from both sides:

-12 = 2x

x = -6.

Answers:

a) 6h + 2k

c) 2k + 6h

Step-by-step explanation:

2(3h + k)

Distribute 2 to all the terms in the bracket.

2(3h) + 2(k)

6h + 2k or 2k + 6h

Answer:

The answers are a and c

Step-by-step explanation:

Expand the expression

2(3h + k)

6h + 2k

Since addition is commutative it can also be written as

2k + 6h

Hope this helps

Answer:

D

Step-by-step explanation:

10 dimes = 1.00

3 nickels =15 cent

Answer:

B. 5 nickles and 9 dimes

Step-by-step explanation:

For this problem, the answer needs to both be equivalent to $1.15 and have a total of 14 nickels and dimes.

B is the only answer choice that has a total of 14 nickels and dimes and is equivalent to $1.15:

9 nickels+5 dimes=total of 14 coins while 5 nickels (25 cents) and 9 dimes (90 cents) is equivalent to $1.15.