18. fine two consecutive odd integers whose sum is 36.

Answer:

Step-by-step explanation:

If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of [tex]y^2-10y+24=0[/tex] is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.

If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:

4|   1    -10     24

____________

The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:

4|   1     -10     24

             4          

     1

Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:

4|    1     -10     24

               4    -24

      1      -6

And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.

Therefore, the 2 factors that multiply together to give us [tex]y^2-10y+24=0[/tex] are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!

Answer:

its ( y-6 )

Step-by-step explanation:

well if you use the FOIL method you will get that answer. also i took the test and got a 100 so there u go.

since its the same you will have to multiple it all to get the answer

Answer:

Step-by-step explanation:

Answer is c

Answer:

S =  {PQ, QP, PR, RP, QR, RQ}

Step-by-step explanation:

We have 3 friends:

Patty (who we can represent with the letter P)

Quinlan (who we can represent with the letter Q)

Rashad (who we can represent with the letter R)

There are two positions, that can be represented as:

First-Second.

Where "first" refers to the student whose name is chosen first, this student will be the president.

"second" refers to the student whose name is chosen second, this student will be the vice president.

For example:

PQ

refers for the case where Patty is the president and Quinlan is the vice-president.

Notice that PQ is different than QP.

The sample space will be the set of all the possible combinations of the elements (P, Q, and R) of the form First-Second, which are just the permutations:

PQ, QP, PR, RP, QR, RQ

Then the sample space is:

S =  {PQ, QP, PR, RP, QR, RQ}

The correct option is the last one.

Answer:

D. S = {PQ, QP, PR, RP, QR, RQ}

Answer: it will

Step-by-step explanation:

your welcome

Answer:    It's "reflexive" because the equation is equal on both sides

Step-by-step explanation:         The reason it isn't symmetric property, is because the variables are mismatched (it's not the same on both sides.)

Hope this helped!!

Answer:

1/6 is less than 1/2

Step-by-step explanation:

1/6 is close to 0

8/9 is close to 1

1/6 is less than 1/2

Answer:

C= 40

D= 75

Alternate interior angle

○●○●○●○●○

Hope it helps...

Have a great day!!!

Answer:

6n>12

Step-by-step explanation:

n represents the number.

So 6 times the number would be 6*n or 6n.

Greater than 12 is >12

I hope this helps!

Answer: A and C

Step-by-step explanation:

Answer:

x+8 =343

Step-by-step explanation:

5 ( x+8) ^ 1/3 = 35

Divide each side by 5

5/5 ( x+8) ^ 1/3 = 35/5

( x+8) ^ 1/3 = 7

Cube each side

( x+8) ^ 1/3  ^3= 7^3

x+8 =343

Answer:

A. log9 3=x

Step-by-step explanation:

The logarithmic form with base 9 is log₉ 3 = x.

The correct option is A.

The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.

The logarithmic form with base 9 is log₉ 3 = x.

Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.

The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).

In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.

Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.

To learn more about the logarithms;

brainly.com/question/28346542

#SPJ6

Answer:

x=49.0

Step-by-step explanation:

Hi there!

In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.

In this situation, we can use the sine ratio:

[tex]sin\theta=\frac{opp}{hyp}[/tex]

Plug in the known information

[tex]sin(28)=\frac{23}{x}\\x=\frac{23}{sin(28)}\\x=49.0[/tex]

Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.

I hope this helps!

Answer:

C

Step-by-step explanation:

99+60=159.

159+60=219

219+60=279

Answer: 88 - 180 =? ÷2

Step-by-step explanation:

[tex] \\ \sf \longmapsto \: 15000 \times 15\% \\ \\ \sf \longmapsto \: 15000 \times \frac{15}{100} \\ \\ \sf \longmapsto \: 150 \times 15 \\ \\ \sf \longmapsto \: 2250[/tex]

Markup amount is 2250Nu

Answer:

x = 32

Step-by-step explanation:

Given

0.5x = 16 ( divide both sides by 0.5 )

x = [tex]\frac{16}{0.5}[/tex] = 32

Answer:

x=32

Step-by-step explanation:

You have to isolate x, so do the opposite operation, which is division (because 0.5 is multiplying by x). So you divide both sides by 0.5, x is isolated because 0.5/0.5 is 1 and 16/0.5 is 32.

=============================================================

Explanation:

10% in decimal form is 0.10

25% in decimal form is 0.25

The jump from 0.10 to 0.25 is "times 2.5" since (0.25)/(0.10) = 2.5

This means that we have 2.5 times as many apples compared to oranges.

If we have 2 oranges, as mentioned in every answer choice, then we must have 2*2.5 = 5 apples.

Based on this, the answer is either A or B.

----------------

65% turns into 0.65

The jump from 0.10 to 0.65 is 6.5 since (0.65)/(0.10) = 6.5

So we have 6.5 times as many pears as oranges.

If we had 2 oranges, then we have 2*6.5 = 13 pears

----------------

To summarize, we have:

2 oranges, 5 apples, 13 pears.

The answer is therefore choice A

Answer:

v = √ar

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION;

The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path. Solve the formula for the velocity. the formula is a= v^2/ r

the given formula is (a= v^2/ r) .....eqn(1)

Where

a=centripetal acceleration

r = object's distance

We were told to find velocity (v)

From eqn(1) we can cross multiply, then we have

a.r=v^2 ...................eqn(2)

Then we can make (v^2) the subject of the formula, we have

(v^2) = ar

We can make "v" subject of the formula, then we have

v = √ a*r

Answer:

r = v^2/a

Step-by-step explanation:

Answer:

2nd Option, 24/7

Step-by-step explanation:

here,

tan T = 7/24

or, cot T = 24/7

Answer:

Step-by-step explanation:

Let the number be 'x'

Quotient of a number and 4  = [tex]\frac{x}{4}[/tex]

Six less than the quotient of a number and 4 : [tex]\frac{x}{4}-6[/tex]

Equation:

[tex]\frac{x}{4} \ - \ 6 = 15[/tex]

Answer:

Below in bold.

Step-by-step explanation:

a. This is the Lowest common multiple of 30 and 40 which is

120 seconds.

b. In 120 seconds Abram had completed 120/40

= 3 laps.

c.  Joshua completed 120/30 = 4 laps.

Answer:

Step-by-step explanation:

A, Lowest common mutiple of 30 and un is 120 seconds

(40x3 = 120, 30x4 = 120)

6.120/40 = 3 laPs Abram did 3 laps.

L. 120/30 = u laPs Jeshya did u laps

Answer:

2

Step-by-step explanation:

because line a d divided the triangle ABC is into equal parts therefore line BD is equal to line DC which is equal to 2

Answer:

Buying price = x = Rs 750

Profit = Rs 120

Step-by-step explanation:

Buying price = x

Selling price = Rs 870

Profit = 16% of x

Profit = selling price - cost price

16% of x = 870 - x

0.16 * x = 870 - x

0.16x = 870 - x

0.16x + x = 870

1.16x = 870

x = 870 / 1.16

x = 750

Buying price = x = Rs 750

Profit = 16% of x

= 0.16 * Rs 750

= Rs 120

Profit = Rs 120

Answer:

80/3

Step-by-step explanation:

try mathw4y it helps alot.

Answer:

x = 80/3

Step-by-step explanation:

(4x+38) + (2x-18)=180

Combine like terms

6x +20 = 180

Subtract 20 from each side

6x+20 -20 = 180-20

6x = 160

Divide by 6

6x/6 = 160/6

x = 80/3

Answer:4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1

Step-by-step explanation:

Factor 4a^2-4a+1. 4a2 − 4a + 1 4 a 2 - 4 a + 1. Rewrite 4a2 4 a 2 as (2a)2 ( 2 a) 2. (2a)2 − 4a+1 ( 2 a) 2 - 4 a + 1. Rewrite 1 1 as 12 1 2. (2a)2 − 4a+12 ( 2 a) 2 - 4 a + 1 2. Check that the middle term is two times the product of the numbers being squared in the first term and third term. 4a = 2⋅(2a)⋅1 4 a = 2 ⋅ ( 2 a) ⋅ 1.

9514 1404 393

Answer:

  k = 56°

Step-by-step explanation:

If b represents a base angle in an isosceles triangle, and 'a' represents the ap.ex angle, then the relation between them is ...

  2b +a = 180°

from which we get ...

  a = 180° -2b

  b = (180° -a)/2

__

The angle at lower right is a base angle of the outside isosceles triangle. Its value is (180° -56°)/2 = 124°/2 = 62°.

The angle marked k is the ap.ex angle of the triangle whose base angle is 62°. We have already seen that the ap.ex angle is 180° -2(62°) = 56°.

  k = 56°

_____

We don't see x anywhere on the diagram. The unmarked angle at lower left will be 62° -56° = 6°.

The obtuse angle on the right will be 180°-56°-6° = 118°. The acute angle of that linear pair is the other base angle of the smaller isosceles triangle, so is 62°.

Answer:

136 units²

Step-by-step explanation:

Because the prism is isosceles triangular then the top rectangle=7 X 5 as well.

The big rectangle's area = 7 X (5+6+5) = 112 units²

The area of the triangles = 2(base*hight/2) = base *height =6 X 4 =24 units²

Surface area = 112 +24 = 136 units ²

Answer:

136 units² give him brainliest he's right

Step-by-step explanation:

Answer:the 2nd row, x=0, f(x)=2

Step-by-step explanation:

When x=0, the line touches the y-axis because the f(x) has a value. therefore when x=0, y=2

you'll understand better if you sketch it out