Write 65 as a product of primes

Answer:

3. 15 outcomes

5. 72 outcomes

Step-by-step explanation:

5 x 3 = 15

(2 x 3) x 12 = 72

2 x 3 = 6

6 x 12 = 72

Answer:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle

Step-by-step explanation:

show that the foflleing statement and soln

There are tables (4) and (5) represent quadratic relationships.

A quadratic relationship is equivalent to a quadratic formula. These relations are frequently used to determine the height of falling objects, kicked balls, or an arched bridge.

As per table (4), we have

x             y        

0            4          

1            -4  

2           -4  

3            4    

Substitute these points in the graph, we get it represents quadratic relationships.

When plotting the graph of a quadratic relation, always display the significant points, the vertex, and the crossings with the axes.

As per table (5), we have

x             y        

0           -4          

1            -8  

2           -10  

3           -10    

When we substitute these points in the graph, we see that it also shows quadratic relations.

Thus, tables (4) and (5) represent quadratic relationships.

Learn more about the quadratic relationship here:

https://brainly.com/question/2818435

#SPJ7

The complete question has been attached below.

Answer:

can't solve this

Step-by-step explanation:

Answer:

9 /89

Step-by-step explanation:

Step-by-step explanation:

1. ∠EBC = x (Theorem One: The angle at the centre of the circle is twice the angle at the circumference subtended on the same arc. You already have this one labelled)

2. ∠FCD = x (F rule / corresponding angles are equal)

3. ∠CAE = x (Theorem Two: Angles at the circumference subtended by the same arc are congruent)

4. ∠BED = ∠DCF = ∠FCD = x (Theorem Fifteen: The exterior angle of a cyclic quadrilateral is congruent to the interior opposite angle)

5. ∠CDF = ∠BED = x (F rule / corresponding angles are equal)

6. ∠CAE = ∠OAE = ∠OEA = x  (CAE and OAE are the same angles, OF and OA are radii, thus they must both be equivalent in magnitude, therefore making the triangle ΔAOE isosceles. Base angles of an isosceles triangle are always equal, since we knew ∠OAE from '3.' was x, we found that ∠OEA was also x)

Answer:

4. F

5.C

6.G

7.D

8.A

9.E

10.B

Step-by-step explanation:

Answer:

I got you :)

Step-by-step explanation:

F(x)=2x-10

Ok, so when you need to know f(4) you plug in 4 for x

f(4)=2(4)-10

2x4 = 8

8-10= -2

f(4)= -2

Hope this helps!

Hi! Hope you're enjoying your day!

In order to solve this, all we have to do is plug in the value of x.

So we're given that

f(x)=2x-10

So f of x is equal to 2 times x minus 10.

Thus

f of 4 is equal to 2 times 4 minus 10 (it can be simplified, right?) :)

f(4)=8-10

f(4)=-2

Hence, the answer is

[tex]\boxed{\boxed{\bold{f(4)=-2}}}[/tex]

Hope everything is clear.

If you have any questions, please ask.

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Answer: C) Draw segment TU and point R on segment TU.

The construction he set up so far is pretty much almost done. If he draws a ray through points T and U (with T as the endpoint), then ray TU combines with ray TS to get angle STU. This angle is congruent to angle BCD.

The point R is introduced so that we call this angle STR instead of angle STU, but it's the same basic idea. You could also replace "ray" with "line" or "line segment" to get the same basic construction of copying an angle.

Answer:

2m-8+1=2m-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

let us first model the amount that Jaime and Jon will charge

let the total amount be y and let the number of hours be x

Jaime will charge

y=30+4x------1

Jone will charge

y=50x-----2

equating 1 and 2 we can solve for x which is the number of months Jaime and Jon will charge the same price

50x=30+40x

50x-40x=30

10x=30

divide both sides by 10 we have

x=30/10

x=3

we can see that the triangle is isosceles since it has 2 equal sides

so that means 2 equal angles then :

x + 17 = 4x - 34

3x = 51

x = 17

or

the sum of 3 triangles angles = 180

6x + 10 + x + 17 + 4x - 34 = 180

11x = 187

x = 17

Answer:

Step-by-step explanation:

(6x+10)+(x+17)+(4x+34)=180

11x+61=180

11x+61-161=180-61

11x=119

11x/11=119/11

x=10 9/119

Answer:

100

Step-by-step explanation:

Lets solve this the easiest way possible :)

120/6 = 20

Now since they sold 5/6 of these copies, lets multiply the 20 by 5 to figure out how much they sold.

20 x 5 = 100

They sold 100 copies :)

Hope this helps!!!

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

100

Step-by-step explanation:

5     120

-----   ------

6          1

=

600

-------   =  100

6

Answer:

9z - 10y

Step-by-step explanation:

I hope this helps!

Answer:

Dear Friend here is your answer.

Answer:it’s the third answer choice

Step-by-step explanation:

Answer:

It is c

Step-by-step explanation:

When you fold it up, it makes a box just like the solid figure.

Have an amazing day!

PLEASE RATE!!

Answer:

140 squirrels

Step-by-step explanation:

first week, there are 5 squirrels.

second week, there are 8 squirrels.

third week, there are 11 squirrels.

let's calculate the amount of squirrels at the end of 28 weeks. from the statement given, an addition of 3 squirrels for every week.

by cross multiply method:

5 squirrels = 1 week

x squirrels = 28 weeks

x = 28 x 5

x = 140 squirrels.

so you will have an amount of 140 squirrels after 28 weeks.

Step-by-step explanation:

-2 (4a + 4b) + 5a > -35

-8a -8b + 5a > -35

-3a -8b > -35

for a

-3a > -35 + 8b

a < -35 + 8b ÷ -3

a < 35 - 8b ÷ 3

for b

-3a - 8b > -35

-8b > -35 + 3a

b < -35 + 3a ÷ -8

b < 35 - 3a ÷ 8

Answer:

  65.8 ft

Step-by-step explanation:

The number of strings required to tie each vertex to the other three will be ...

  (4)(3)/2 = 6

Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.

  d² = 12² +7² = 144 +49 = 193

  d = √193 ≈ 13.892

Then the total length of all strings is ...

  L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet

The artist will need 65.8 feet of string.

Answer:

2.2360679775

Step-by-step explanation:

Answer:

2.2360679775

Step-by-step explanation:

Check the picture below.

[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{600\times 600}{360000}\\ h=300 \end{cases}\implies V=\cfrac{(360000)(300)}{3}\implies V=36000000~ft^3[/tex]

Answer: The coefficients are: 16ab, 5c, and 2w. The terms are: 16ab, 5c, 8, 21, 2w, H, W, and L. The constants are: 8 and 21. And the variables are: H, W, and L.

Answer:

Ok, suppose that there are M Petri dishes, where M is an integer number.

If there are N students in the class, then the number of Petri dishes that each student gets is:

# = M/N.

(always that N divides M)

If not, we will have a remainder, R,  of Petri dishes such that:

M ≥ N

R < N

This means that:

The total number of Petri dishes must be equal or larger than the number of students.

If M is larger than N, and N does not divide M, then the remainder of the quotient will be smaller than N.

Now with this, you can replace the numbers and do the math.

"The more students that decide to do the bacteria experiment, the fewer the number of Petri dishes each student gets."

You can easily see this because the equation for the number of Petri dishes that each student gets is:

# = M/N.

Here, N is in the denominator, then if the number of students in the class increases, the denominator in the operation increases, which means that the quotient will be smaller.

Answer:

(a) [tex]A=1600(1+\frac{0.0375}{12})^{12t}[/tex]

     (where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)

(b) $1,929.40

Step-by-step explanation:

Compound interest formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substituting these values into the formula:

[tex]\implies A=1600(1+\frac{0.0375}{12})^{12t}[/tex]

(where [tex]A[/tex] is the account balance and [tex]t[/tex] is the time in years)

Part (b)

Substitute [tex]t=5[/tex] into the equation created in part (a):

[tex]\implies A=1600(1+\frac{0.0375}{12})^{12\cdot 5}[/tex]

[tex]\implies A=1600(1.003125)^{60}[/tex]

[tex]\implies A=1929.404236...[/tex]

[tex]\implies A=1929.40[/tex]

Therefore, her account balance after 5 years will be $1,929.40

Answer:

0.00000049

I believe this is right if not I apologize

Answer:

0.00000001

Step-by-step explanation:

Answer:

0.000000001

Step-by-step explanation:

Answer:

(f+g)(x) > 3 for all values of x