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Answer:

[tex] \boxed{\sf Perimeter \ of \ semicircle = 3 \pi \ cm} [/tex]

Given:

Radius of semicircle (r) = 3 cm

Step-by-step explanation:

[tex]\sf Perimeter \ of \ semicircle = \pi r [/tex]

[tex] \sf = 3 \pi \: cm[/tex]

Answer:

B. [tex](3x-4)(x+1)[/tex]

Step-by-step explanation:

Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you

Step-by-step explanation:

There are 156 natural numbers between 97 and 256.

Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.

Given data as :

The natural numbers are 97 and 256

To determine the numbers between the following, firstly subtract them and then subtract 2 to it.

97 and 256

⇒ 256 - 97

⇒ 158

Substract 2 from it.

= 158 -2

= 156

Thus, there are 156 natural numbers between 97 and 256.

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Answer:

a = – 8

Step-by-step explanation:

From the question:

When P(x) = 2x³ – ax² + 4x – 4 is divided by x – 1, it gives a reminder of 10.

To obtain the value of a, we shall equate x – 1 to 0 as illustrated below:

x – 1 = 0

x = 0 + 1

x = 1

Next, we shall substitute the value of x into 2x³ – ax² + 4x – 4 and equating it to 10 as illustrated below:

2x³ – ax² + 4x – 4 = 10

x = 1

2(1)³ – a(1)² + 4(1) – 4 = 10

2 – a + 4 – 4 = 10

2 – a = 10

Collect like terms

– a = 10 – 2

– a = 8

Divide through by –1

a = – 8

Therefore, the value of a is –8.

Step-by-step explanation:

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Answer:

3/4

Step-by-step explanation:

Given the following :

Number of boxes = 2

First box :

White balls = 3

Blue balls = 2

Second box:

White balls = 4

Blue balls = 1

What is the probability that Frida picked a ball from the first box if she has selected a blue ball?

Probability (P) = (required outcome / Total possible outcomes)

Probability of picking first box : P(F) = 1/2

Probability of not picking second box :P(S) 1/2

Probability of picking blue from first box : P(B | F) = 3/5

Probability of picking blue, but not from first box : P(Blue not from second box) P(B|S) = 1/5

probability that Frida picked a ball from the first box if she has selected a blue ball?

P(F) * P(B|F) ÷ (P(F) * P(B|F)) + (P(S) * P(B|S))

(1/2 * 3/5) ÷ ((1/2 *3/5) + (1/2 * 1/5)

3/10 ÷ (3/10 + 1/10)

3/10 ÷ 4/10

3/10 * 10/4

= 3/4

Answer:

1/32 and 1/64

p and v

Step-by-step explanation:

Answer:

a. 1/32 then 1/64

b. P then V

Step-by-step explanation:

A is multiplied by 2 every time.

While b is doubled every time as well.

Part (a)

Since we want segment AT to be an altitude, this means that point A is somewhere on segment RI such that angle TAI is 90 degrees. In other words, segments AT and RI are perpendicular. Check out the diagram below.

We'll need to find the slope of line RI, so we'll need the slope formula

R = (x1,y1) = (-2,-2)

I = (x2,y2) = (4,1)

m = slope of line RI

m = (y2-y1)/(x2-x1)

m = (1-(-2))/(4-(-2))

m = (1+2)/(4+2)

m = 3/6

m = 1/2

m = 0.5

The slope of line RI is 1/2 or 0.5

Now let's use point R(-2,-2) along with that slope we just found to find the equation of line RI.

Turn to point slope form

y - y1 = m(x - x1)

y - (-2) = 0.5(x -(-2))

y + 2 = 0.5(x + 2)

y + 2 = 0.5x + 1

y = 0.5x + 1 - 2

y = 0.5x - 1

This is the equation of line RI. We'll use it later.

----------

We found that the slope of line RI was 1/2.

The negative reciprocal involves us flipping the fraction and flipping the sign to get -2/1 or simply -2.

The perpendicular slope is -2. This is the slope of altitude AT.

We want line AT to go through T(-2,4), so we'll use this point along with the perpendicular slope we just found to calculate the equation of line AT.

We'll turn to the point slope form

y - y1 = m(x - x1)

y - 4 = -2(x - (-2))

y - 4 = -2(x + 2)

y - 4 = -2x - 4

y = -2x - 4 + 4

y = -2x

The equation of the line that goes through points A and T is y = -2x.

----------

To summarize so far, we have these two equations

Apply substitution to solve for (x,y) to find the intersection point. This will determine where point A is located.

y = 0.5x - 1

-2x = 0.5x - 1

-2x-0.5x = -1

-2.5x = -1

x = -1/(-2.5)

x = 0.4

Then we can determine y like so

y = -2x

y = -2(0.4)

y = -0.8

Therefore, point A is located at (0.4, -0.8). Both coordinate values are exact. In fraction form, we can say that the point is (2/5, -4/5), but I find decimals easier to work with in this instance.

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

Part (b)

To find the length of segment AT, we can find the distance from A to T. As you can probably guess, we'll use the distance formula.

A = (x1,y1) = (0.4, -0.8) ... found back in part (a)

T = (x2,y2) = (-2, 4) ... given

[tex]d = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 - (-0.8))^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 + 0.8)^2 }\\\\d = \sqrt{ (-2.4)^2+(4.8)^2 }\\\\d = \sqrt{ 5.76+23.04 }\\\\d = \sqrt{ 28.8 }\\\\d \approx 5.36656\\\\d \approx 5.37\\\\[/tex]

The distance from point A to point T is approximately 5.37 units. This means that segment AT is roughly 5.37 units long.

Answer:

  swap the middle two steps to put them in order

Step-by-step explanation:

The steps in order would be ...

Answer:

Jada's book was overdue by 1 more day than Juan's book.

...................

Answer:its A

Step-by-step explanation:

i took the quiz

Answer:

Option C.

Step-by-step explanation:

It is given that,

[tex]P(A)=\dfrac{1}{4}[/tex]

[tex]P(B)=\dfrac{13}{20}[/tex]

It is given that events A and B are mutually exclusive. It means they have no common elements.

[tex]P(A\cap B)=0[/tex]

We know that,

[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

On substituting the values, we get

[tex]P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0[/tex]

[tex]P(A\cup B)=\dfrac{5+13}{20}[/tex]

[tex]P(A\cup B)=\dfrac{18}{20}[/tex]

[tex]P(A\cup B)=\dfrac{9}{10}[/tex]

Therefore, the correct option is C.

The P (A or B) should be [tex]\frac{9}{10}[/tex]

Given that,

Based on the above information, the calculation is as follows:

[tex]= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}[/tex]

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56

a = 18

18 and 43 is 124

180 minus 124 is 56

Answer:

3 24/25 MPH

Step-by-step explanation:

We know Rami runs 6 3/5 miles in 1 2/3 hrs --> Convert into an improper fraction

--> 6 3/5 = 33/5

--> 1 2/3 = 5/3

Speed = Distance divided by Time

Distance = 33/5

Time = 5/3

33/5 / 5/3 = 33/5 x 3/5

33/5 x 3/5 = 99/25

1/25 less than 4 = 3 24/25

Thus, our answer is 3 24/25 MPH

Hope this helps!

Explanation:

Assuming you meant to say

P(A) = 11/20

P(B|A) = 13/20

then,

P(A∩B) = P(A)*P(B|A)

P(A∩B) = (11/20)*(13/20)

P(A∩B) = (11*13)/(20*20)

P(A∩B) = 143/400

Answer:

-2> -3

Step-by-step explanation:

when in the minuses, the lower the number, the bigger it really is!

Answer:

-2> -3

Step-by-step explanation:

Answer:

110° and 70°

Step-by-step explanation:

The angles are supplementary, thus sum to 180°

sum the parts of the ratio, 11 + 7 = 18

divide 180° by 18 to find the value of one part of the ratio

180° ÷ 18 = 10° ← value of 1 part of the ratio

Thus

11 parts = 11× 10° = 110°

7 parts = 7 × 10° = 70°

The angles are 110° and 70°

Answer:

23 and 25

Step-by-step explanation:

Integers are whole numbers that are either positive, negative, or zero. Fractions and decimals are not integers. Therefore, 24 is between 23 and 25.

Answer:

Positive 23 and positive 25

Step-by-step explanation:

Equation representing the relation between the cost and the weight of the chicken has been given as,

Here, y = cost of the chicken

x = weight of the chicken

By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).

For x = 1,

y = 7×1

y = 7

For x = 2,

y = 7×2

y = 14

For x = 3,

y = 7×3

y = 21

For x = 8,

y = 7×8

y = 56

       Therefore, the complete table will be,

Weight (lb),x      1            2             3              8

Cost ($),y          7           14            21            56

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(x-p)(x-q)

y(x-q) .... let y = x-p

yx - yq ... distribute

x(y) - q(y)

x(x-p) - q(x-p) ... replace y with x-p

x^2 - px - qx + pq .... distribute

x^2 + (-p-q)x + pq

The last expression is in the form ax^2+bx+c with a = 1, b = -p-q and c = pq

The constant term is the term without any variable x attached to it (either x or x^2), so the constant term is pq

Answer:

126

Step-by-step explanation:

∠S : ∠T = 7:3

∠S = 7x  

∠T = 3x

∠S + ∠T = 180               {Supplementary angles}

7x + 3x = 180

10x = 180

Divide both sides by 10

x = 180/10

x = 18

∠S = 7x = 7*18 = 126°

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B)  = (A ∩ B) (Addition to zero identity property)

∴  A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

Answer:

[tex]\boxed{3^5}[/tex]

Step-by-step explanation:

Hey there!

Look at the image below↓

By looking at the image we can tell the PR expression is [tex]3^5[/tex].

Hope this helps :)

Answer:

Below in bold.

Step-by-step explanation:

Dividing  by primes:

3 ) 243

3 )  81

3 )  27

3)     9

        3.

So the prime factors of 243 are 3 * 3 * 3 * 3 * 3  or  3^5.

Answer:

y = 7 when x = -5

Step-by-step explanation:

First go to x = -5

Then go up to where you meet the green line

The y value is 7

y = 7 when x = -5

Answer:

L=7 units and B=3 units

Step-by-step explanation:

L=B+4 ... Equation 1

P = 20

P=2(B+L)... Equation 2

20=2(B+B+4)... Substituting equation 1 to equation 2

20=2(2B+4)

20=4B+8

20-8=4B

12=4B

12/4=4B/4

B=3... Solve for B

L=B+4

L=3+4

L=7... Solve for L

Step-by-step explanation:

First draw a lign segment like DF

Next keep the point on D make an arc by increasing the length of compass

As same keep the point on F make an arc lile same as before

Next there is apoint name it as any meeting on drew arc

connect it to the point with P

Answer:

5/6 pounds

Step-by-step explanation:

A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.

Given the following :

Amount of corn meal purchased = 5 pounds

Number of people to share = 6 families

Assume, it is divided equally among them;

Then; each family gets ;

(Pounds of corn meal purchased/number of families) ;

5 / 6 pounds of corn meal will be distributed to each family.

Answer:

$8

Step-by-step explanation:

$96 divided by 12

The sequence or object patterns can be used to find exact values when the level of the pattern increases or decrease

The mathematical expression that connects the number of tiles and the grouping method is presented as follows;

tₙ = 9 + (n - 1)× 3

Reason:

Known parameter:

From the given diagram, we have that the number of green tiles = 18

Question: The missing parts of the question are;

Grouping method 1 having 15 green colored tiles with Figure size 3

We have;

Grouping method 1

The figure size number of the shape with 15 green colored tiles = 3

Grouping method 2, figure size 4

The figure size number of the shape with 18 green colored tiles = 4

By examination, we get;

The size number of the shape with 12 green colored tiles = 2

The size number of the shape with 9 green colored tiles = 1

Therefore the sequence is an arithmetic progression having the following characteristics;

nth term, tₙ = a + (n - 1)·d

The first term, a = 9

The common difference, d = 3

The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3

Where;

n = The grouping method number

For easy calculation;

The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3

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