PLEASE HELP WITH NUMBER ONE or all of them will mark Brainly-est

Makovka662 [10]

A ray is a line with one end. It starts at a given point and goes off in a certain direction forever to infinity. The point where the ray starts is called the endpoint.

3 0

3 years ago

Read 2 more answers

Find a number in the closed interval [1/2,3/2] such that the sum of the number and its reciprocal is

sattari [20]

Let's assume that number as x

so,

the sum of the number and its reciprocal is

$S(x)=x+\frac{1}{x}$

Firstly, we will find derivative

$S'(x)=1-\frac{1}{x^2}$

now, we can set it to 0

and then we can solve for x

$S'(x)=1-\frac{1}{x^2}=0$

$x=-1,x=1$

Since, only x=1 lies on [1/2,3/2]

so, we will consider only x=1

now, we can plug end values and x=1 into S

At x=1/2:

we can plug x=1/2

$S(\frac{1}{2})=\frac{1}{2} +\frac{1}{\frac{1}{2}}$

$S(\frac{1}{2})=\frac{1}{2} +2$

$S(\frac{1}{2})=\frac{5}{2}$

At x=1:

we can plug x=1

$S(1)=1 +\frac{1}{1}$

$S(1)=1 +1$

$S(1)=2$

At x=3/2:

we can plug x=3/2

$S(\frac{3}{2})=\frac{3}{2} +\frac{1}{\frac{3}{2}}$

$S(\frac{3}{2})=\frac{3}{2} +\frac{2}{3}$

$S(\frac{3}{2})=\frac{13}{6}$

(a)

Smallest value:

The smallest value among them

$S(1)=2$

So, a number is 1..........Answer

(b)

Largest value:

The largest value among them

$S(\frac{1}{2})=\frac{5}{2}$

So, a number is $\frac{1}{2}$ ........Answer

6 0

4 years ago

The bisector of an angle of a triangle divides the opposite side of the triangle into segments that are 18 in. and 24 in. long.

horsena [70]

Answer:

45 is the answer

Step-by-step explanation: 45 it is

5 0

3 years ago

Choose the correct translation of the following statement into symbolic form using the uppercase letters available. If neither w

Over [174]

Answer:

¬(W∨S)→¬(J∨E)

D→(B∨C)

X is true

No

Step-by-step explanation:

The hypotheses "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.

The hypothesis here is "the dyer breaks" hence D is the hypothesis. The conclusion is "we will hang the clothes to dry, or take the clothes to a coin-operated laundry" which is the same as (B∨C).

The proposition p→p is always true (according to truth tables). In this case, p:=X is true, then p is true and X is true.

X∨Y is false if and only if X is false and Y is false, so both statements X,Y must be false.

5 0

3 years ago

A group of Construction students must choose their specialist options from the following list: Bricklaying, Damp-proofing, Drain

serious [3.7K]

Answer:

9

Step-by-step explanation:

Since drainage is to be included in the possible combinations, we can therefore determined the number from the remaining 6 options which can be in combination with drainage

(6 2) = 15 pairs.

Now there are restrictions placed, where we have no pairing of damp roofing with bricklaying or plastering. This removes two pairs, so we are left with 13pairs.

Another restrictions is that students choosing Joinery must also choose Flooring. This gives the three options: joinery, flooring and drained with no pairing with the remaining four pairs this removing another four pair.

So we are left with 9 pairs in total.

7 0

3 years ago