ABC is a triangle. AC=19cm, BC=17cm and angle BAC=60

Answer:

  you need to show the number is prime

Step-by-step explanation:

To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.

The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...

  2^7 -1 = 128 -1 = 127

The sum of digits is 10, which is not a multiple of 3: not divisible by 3.

The units digit is 7, not 0 or 5: not divisible by 5.

The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.

We know that 11² = 121, so 127 is not divisible by 11.

All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.

_____

Additional comment

It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.

You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.

Answer:

1.5 feet

Step-by-step explanation:

Answer:

1.5 feet or 3/2 feet

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.

Hope this helps!

Answer:

10.75

Step-by-step explanation:

first step is to find how much adam paid for each towel

so, the equation used will be x/y=c

where x is total cost, y is number of products bought, and c equals individual cost (with discount)

we end up with 105/14= 7.5$ per towel.

and to close out, we add the given discount of 3.25 to the discounted price of 7.5

which brings the usual price per towel to 10.25

Answer:

Step-by-step explanation:

Answer:

y = 2x - 4.

Step-by-step explanation:

2x - y = 4

Subtract 2x from both sides

- y = -2x + 4

Multiply both sides by -1:

y = 2x - 4.

Answer:

y=-2x+4

Step-by-step explanation:

2x-y=4  -  move the 2x to the right side by subtracting 2x from both sides

2x - y = 4

-2x       -2x =

-y=-2x+4  -   negative variable turns into y, since the negative isn't relevant

y=-2x+4

Answer:

Yes.

Step-by-step explanation:

According to the given co-ordinate.

(x,y) = (-2,-2)

i.e. x = -2, y = -2

So, We can say that x = y = -2.

Hence, the given co-ordinate makes the equation y = x true.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The nth term of the sequence is given. Find the first 4 terms, a10, and a15 2 What is the first term? a1 = (Type an integer or a simplified fraction.) What is the second term? a2 = (Type an integer or a simplified fraction.) What is the third term? a,-| (Type an integer or a simplified fraction.) What is the fourth term? a4(Type an integer or a simplified fraction.) What is the tenth term❤

Answer:

  g(x) = 24(2^(x-1)) +16

Step-by-step explanation:

A function is stretched vertically by a factor of 'a' by multiplying by 'a'.

  g(x) = 4·f(x) = 4(6(2^(x-1) +4)

  g(x) = 24(2^(x-1)) +16

Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

Therefore, the discount percentage is 20%.

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Answer:

It is the second graph, the one with two filled in dots, but no line.

Step-by-step explanation:

The reason it is not the first one is because it has not filled in dots, AND no line, so it's basically saying there is no answer, which is not true.

The reason the third one (the one with a line) is wrong is because, for example, x cannot be 1, because 1 ≠ 2, and if there is a line, it should be true.

Answer:

its the awnser with the 2 not the -2

Step-by-step explanation:

8 hours is twice as many as 4:

Multiply the number of windows in 4 hours by 2:

32 x 2 = 64 windows in 8 hours

Answer:

64

Step-by-step explanation:

32÷4=8 8 car windows per hour. 8×8=64

Answer: the height of a triangle can be determined in many different ways depending on whether it's a right triangle, isosceles triangle (a triangle with two equal sides), or equilateral triangle.

Step-by-step explanation:

Step-by-step explanation:

The formula for the Area of a triangle is A = (1/2)bh where b is the base an h is the height. Since the triangle is a right triangle, the base and height are the two shorter sides

Answer:

Not too sure, but maybe this is what you need.

(Students = S, Adults = A) So, Ax + Sy = 266?

Or

x10 + y7 = $266

Step-by-step explanation:

I think the second one is the most accurate one, ignore the first equation. T^T

Answer:

it's the graph that touches the y-axis in the point (0, -5), and the x-axis in the point (5, 0)

The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.

To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.

Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.

We also must square the radius. So 30 cm multiplied by itself equals 900 cm.

Radius: 900 / 100 = 9 m

We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).

Now we can plug these values into the formula for the volume of a cylinder.

π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters

Rounded to two decimal places is 48.07 cubic meters.

The volume of the tree trunk is about 48.07 cubic meters.

Answer:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

Step-by-step explanation:

Hope it's help

Answer:

4

Step-by-step explanation:

The graph of the function is attached in the solution.

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given is an equation, y = 2x-4, we need to determine its graph,

So, for the same, finding the coordinates,

y = 2x-4

Put x = 0

y = -4

(0, -4)

Put x = 1

y = -2

(1, -2)

Put the coordinates on the graph and the join them, the line obtained by this will represent the graph of the function given.

Hence. the graph of the function is a straight line.

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the 1st and 2nd ones r correct

Step-by-step explanation:

hope this helps

Answer:

x+y=10 which means that x=10-y

Replace 10-y in the other equation which gives you:

10-y-y=6

10-2y=6

-2y=-4

y=2

Replace 2 in any of the 2 equations same answer for both:

x+y=10

x+2=10

x=8

So,

[tex] {x}^{3} - y^{3} [/tex]

[tex] = {8}^{3} - {2}^{3} [/tex]

=512-8

=504

Hope this helps!

Therefore, k = 49.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

Step-by-step explanation:

In 8 gallons of gas the car can go = 400 miles

In 1 gallon of gas the car can go = 400/8

In 1 gallon of gas the car can go = 50 miles

How far can the car take you with 1 gallon of gas?​ With 1 gallon of gas, the car can go 50 miles.

Step by Step calculations:

We know that

With 8 gallons of gas, the car can go 400 miles

Then,

With 1 gallon of gas, the car can go

= 400 / 8

= 50 miles

Therefore, with 1 gallon of gas, the car can go 50 miles.

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Answer:

bro pls someone hurry i need help

Step-by-step explanation:

Answer:

so if it takes twice all long for amy as nacy that means

Amy takes 2/3 or 0.6(aprox)

Nacy takes 1/3 or 0.3(aprox)

Amy=24

Nacy=12

Hope This Helps!!!

Answer:

Youngest child: $2

oldest child: $6

Second oldest: $2.50

Step-by-step explanation:

Youngest child= x

oldest child= 3x

Second oldest: .50+x

x+3x+.50+x=10.5

5x+.50=10.5

    - .50= - .50

5x=10

divided both numbers by 5 and x is equal to 2. So, the youngest child is $2 and you add .50, which is $2.50, and thats for the second child. Last, you do 2 times 3 equals $6 which is the oldest child.

The youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

Three children each contributing to their mother's birthday present. The eldest gave three times more than the youngest, while the second oldest contributed 50 cents more. If the gift costs $10.50 which is given in the question.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Let the youngest sibling contribute the amount of x dollars

As per the given information,

3x + 0.50 x + x + x = 10.50

Apply the addition operation,

4.50x = 10.50

x = 10.50 / 6.50

Apply the division operation to get

x = 1.90

So the youngest sibling contributed = $1.90

The oldest contributed 1.90 × 3 = $5.27

And the second oldest contributed (1.50)1.90= $2.85

Therefore, the youngest contributed $1.90, the oldest contributed $5.27, and the second oldest contributed $2.85.

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Answer:

the 4th choice

Step-by-step explanation:

hope this helps

MAy I get braineist pls????????

Answer:

5

Step-by-step explanation:

[tex]1\frac{7}{8}\div\frac{3}{8}[/tex]

[tex]=\frac{15}{8}\div \frac{3}{8}[/tex]

[tex]=\frac{15\times \:8}{8\times \:3}[/tex]

[tex]=\frac{15}{3}[/tex]

[tex]=5[/tex]

The quotient is 5.

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\textsf{Given that:}\\[/tex]

[tex] \sf1 \dfrac{7}{8} \div \dfrac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{7 \times 8}{8} \div \frac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{15}{8} \div \dfrac{3}{8} \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} }{ \dfrac{3}{8} } \\ [/tex]

[tex] \sf \longmapsto \: \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{ \dfrac{ \cancel \green3}{ \cancel \red8} \times \frac{ \cancel \red8}{ \cancel \green3} } \\ [/tex]

[tex]\sf \longmapsto \dfrac{ \dfrac{15}{8} \times \frac{8}{3} }{1} \\ [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{ \cancel \red8} \times \dfrac{ \cancel \red8}{3} \\ [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{3} \\ [/tex]

[tex]\sf\longmapsto \:\dfrac{15÷3}{3÷3}\\[/tex]

[tex]\sf\longmapsto \:\dfrac{5}{1}\\[/tex]

[tex]\sf\longmapsto \:\boxed{5} \: Answer.\\[/tex]

also read similar questions: Multiply. Write your answer as a fraction in simplest form...

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1) Move all terms to one side.

[tex]34x+24x^{2} -35-57y=0[/tex]

2) Use Quadratic Formula.

[tex]x=\frac{-34+2\sqrt{1368y+1129} }{48} ,\frac{-34-2\sqrt{1368y+1129} }{48}[/tex]

3) Simplify solutions.

[tex]x=-\frac{17-\sqrt{1368y+1129} }{24} ,-\frac{17+\sqrt{1368y+1129} }{24}[/tex]