Can someone help me solve question 2 and 3?

Answer:

the value of x is 2^9/4 then 2^3x-4=2^11/4

Answer:

Smaller #: 19

Larger #: 70

Step-by-step explanation:

Step 1:

We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.

Step 2:

We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:

[tex]4x=51+x+6\\3x=57\\x=19[/tex]

If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .

I hope this helps! Let me know if you have any questions :)

The radius of the given circle is 13 unit.

The chord of a circle can be defined as the line segment joining any two points on the circumference of the circle.

A radius is a measure of distance from the center of any circular object to its outermost edge or boundary.

Pythagoras theorem states that "the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides".

According to the given question

We have a circle with center Q and two chords AD and BC.

And, AD = 4x + 4 and BC = 6x -6

Since, both the chords are at the same distance from the center of the circle, so their lengths will same.

⇒ AD = BC

⇒ 4x + 4 = 6x -6

⇒ 4 + 6 = 6x -4x

⇒ 10 = 2x

⇒ x = 5

Therefore,

AD = 4x + 4 = 4(5) + 4 = 20 +4 =24

and, BC = 6x - 6 = 6(5) - 6 = 30 -6 = 24

Also, AP = AD/2 = 24/2 = 12

Now, in right angle triangle QPA we have

[tex]AQ^{2} =QP^{2} +AP^{2}[/tex]     ( By Pythagoras theorem)

⇒ [tex]AQ^{2} = 5^{2} +12^{2}[/tex]

⇒[tex]AQ^{2} = 25 + 144[/tex]

⇒[tex]AQ^{2} = 169[/tex]

⇒[tex]AQ =\sqrt{169}[/tex]

⇒ AQ = 13

Hence, the radius of the given circle is 13 unit.

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Answer:

$357

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

The x-values in each table are evenly-spaced (increasing by 2). So, the quadratic function can be identified by its second differences: they will be a non-zero constant.

Table 1 has first differences that are constant at 3. -2-(-5) = 3, for example. It represents a linear function.

Table 2 has first differences of 4, 8, 4, 4, neither constant, nor linearly increasing. The function does not have a name.

Table 3 has first differences of -9, -3, +3, +9, and these have differences of +6. This represents a quadratic function.

Table 4 has first differences of 0.5, 1, 2, 4. These have a constant ratio, as do the values in the table. It represents an exponential function.

The table that represents a quadratic function is C. Table 3.

A quadratic function simply means a function that's in the form of f(x) = ax² + bx + c.

In this case, the table that represents a quadratic function is table 3. It has first differences of -9, -3, +3, +9, and these have differences of +6. It can be deduced that in the quadratic function, b and x are numbers.

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Answer:

the triangle is not a right angle

Step-by-step explanation:

5²+12²=169

15²=225

v = u + 5t

v = -15 + 5(4)

v = -15 + 20

v = 5

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]v = u + 5t[/tex]

Given,

[tex]u = - 15 \\ t = 4 \\ v = \: ?[/tex]

To find the value of v, we must substitute the values of u & t in the equation ⇻ v = u + 5t.

[tex]v = u + 5t \\ v = ( - 15) + 5(4) \\ v = - 15 + 20 \\ v = 5[/tex]

✐ The value of v is 5.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

n < -2

Step-by-step explanation:

-2n – 2 > 2

-2n (– 2 + 2) > 2 + 2

-2n > 4

-2n/-2 > 4/-2

n < -2

Answer:

Step-by-step explanation:

a+(-a)

=a-a

=0

Answer:

31 questions, but it's impossible to score 75%.

Step-by-step explanation:

It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.

This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.

You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.

Answer:

1 / 3

Step-by-step explanation:

Number of balls :

Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1

Total = 6

From two draws without replacement, probability that 2nd draw is blue :

Possibilities :

P(RB) or P(YB) or P(BB)

P(RB) = 3/6 * 2/5 = 6/30

P(YB) = 1/6 * 2/5 = 2 /30

P(BB) = 2/6 * 1/5 = 2 / 30

HENCE,

P(RB) + P(YB) + P(BB)

6/30 + 2/30 + 2/30 = 10/30 = 1/3

Answer:

The rate of simple interest is 0.125, or 12.5%.

Step-by-step explanation:

If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.

The simple interest formula is i = p*r*t.  Solving this for the interest rate, r, yields

        i

r = ----------

       p*t

and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:

         $250

r = ----------------- = 0.125

         $500*4

The rate of simple interest is 0.125, or 12.5%.

Answer:

Length: 12 meters

Step-by-step explanation:

Step 1:

Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.

We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.

Step 2:

We can now write our equation and solve for x :

[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]

We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.

I hope this helps! Let me know if you have any questions :)

Answer:

From the given information, there are two equations in terms of x and y:

2x + 2y = 24 (perimeter of the rectangular plot)

         x = 3y (relationship between length and width)

The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:

2(3y) + 2y = 24

              y = 3

Substitute y in the second equation to find x:

x = 3(3)

x = 9

The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.

Step-by-step explanation:

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Answer: I think so since it’s a decimal

Step-by-step explanation:

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]

Solve for x. Combine like terms:

[tex]5x+10=700[/tex]

Subtract 10 from both sides:

[tex]5x=690[/tex]

Divide both sides by five. Therefore:

[tex]x=138[/tex]

The first number is 138.

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138

Step-by-step explanation:

When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.

However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.

We'll use the binomial distribution formula where n=4, k=4, and P=.6.

nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296

So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704.  You could double check this by calculating the prob of the other 4 outcomes and then adding them together.

The probability that at least 2 people have a cat is 0.522 or 52.2%.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.

The formula is:

P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]

where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).

For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).

P(2) = (5 choose 2) × 0.3² × 0.7³

P(2) = 0.252

To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.

P(≥2) = P(2) + P(3) + P(4) + P(5)

Substituting the values we get:

P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522

So, the probability that at least 2 people have a cat is 0.522 or 52.2%.

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Answer:

8?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Student who did not play Volleyball  = Students who play only hockey + students who don't play any game

= 5 + 3 = 8

Students who play hockey only = 5

Answer:

46,213,300 km

Step-by-step explanation:

46,213,267

in the above number ;

7 = units

6 = tens

2 = hundred

3 = thousand

1 = ten thousand

2 = hundred thousand

6 = million

4 = 10 million

to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero

because  6 is greater than 5, add one to the hundred value

= 46,213,300 km

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

101/12

Step-by-step explanation:

3/4r-3 1/4=49/16

3 1/4=13/4

3/4r-13/4=49/16

3/4r=49/16+13/4

3/4r=49/16+52/16

3/4r=101/16

r=(101/16)/(3/4)

r=(101/16)(4/3)

r=101/12

Answer:

jaja

yo buscando y vos preguntando

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Any feature increases when y-value should likewise be increased for the growth of x-values

Each table will be checked

table-1:

That we can see

-3, -2,-1 , 0, 1,2 x increase

And also -6,-3,-1,1,3,6 y increase 

It increases, thus,

table-2:

That we can see

-3, -2,-1 , 0, 1,2 x increase

But between -2 and 1, it's asking

The y-values of -4,-1,1,4..... are increasing

This increases, thus,

table-3:

Which we can see

-3, -2,-1 , 0, 1,2 x increase

But y changes between -3 and -5 .....this decreases

This does not increase, thus,

table-4:

we can find that the x increase to -3, -2, -1, 0, 1,2 however y rises from 7 to 1.....

This does not increase, thus,

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first one is the first picture

Answer:

well it would reflect over the y axis and make the x cords all negative making D(-2,-3) so A is the answer

Answer:

An algebraic expression is a type of expression that contains a variable or variables.