Two concentric circles form a target. The radii of the two circles measure 8 cm and 2 cm. The inner circle is the bullseye of the target. A
point on the target is randomly selected.

What is the probability that the randomly selected point is in the bullseye?

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Answer:

you plug -6 and get 8x(1-(-6))=8×7=56

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

f(-6) = 8(1 - (-6))

f(-6) = 8(1 + 6)

f(-6) = 8(7)

g(-6) = 56

Best of Luck!

Answer:

30

Step-by-step explanation:

Divide

\(\frac{12}{6}\\\\\bold{Long\:division}\\6 \times 2 = 12\\= 2\)

\(\mathrm{2\:remainder\:0}\)

Simplify the rest of the expression

\(= 30 - 0\\= 30\)

Hope this helps!

Answer:

Because pi=22/7or3.14

while 8*2=16

Answer:

option 1 is correct. that is the answer

Answer:

You need to ask yourself what times 20  gives you 600.  Then ask yourself what times 20 gives you 160.  Then that will give you your answer.

Step-by-step explanation:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

Option B

Step-by-step explanation:

Equation of the function is,

\(g(x)=\sqrt{x-1}+2\)

Parent function of the given function 'g' is,

\(h(x)=\sqrt{x}\)

By translating the parent function 'h' n=by 1 unit horizontally left and 2 units upwards we get the function 'g'.

That means function 'g' starts from a point (1, 2).

Range of the function 'g' will be all the values of y ≥ 2.

Option B is the answer.

Answer:

Range of the function 'g' will be all the values of y ≥ 2.

Step-by-step explanation:

The quotient of the given problem using laws of exponents is; 6 * 10⁰

We want to express the quotient of the quantity 30 times ten raised to the negative twenty fourth power end quantity divided by the quantity 5 times ten raised to the negative twenty fourth power end quantity.

This is;

(30 * 10⁻²⁴)/(5 * 10⁻²⁴)

Now, we can break this down into like terms to get;

(30/5) * (10⁻²⁴/10⁻²⁴)

= 6 * 1

Now, 1 can also be written as;

10⁰ = 1

Thus, the solution of the given problem is; 6 * 10⁰

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Answer:

8

Explanation:

The images that are associated with the trait 'indecisive' are 3 and 5.

• The frequency of the image 3 = 5

• The frequency of the image 5 = 3

Add the two:

Therefore, the number of participants that selected an image that is associated with being indecisive is 8.

Answer:

\(2x^{2} - 11x - 11\)

Step-by-step explanation:

The solution is, the perimeter of the parking lot in terms of x is,

2 ( 2x² -11x -6 ) ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

here, we have,

from the given figure, we get,

the length of one side = (3x +12) ft

the length of one side = 5x ft

the length of one side = ( 6x - 14 ) ft

the length of one side = (4x+1) ft

the length of one side = ( x² -12x +10) ft

the length of one side = (x² +x -16) ft

now, we know that,

the perimeter = the sum of lengths of out side

so, we get,

perimeter = 2 ( x² -12x +10 + x² +x -16 )

                = 2 ( 2x² -11x -6 )

Hence, The solution is, the perimeter of the parking lot in terms of x is,

2 ( 2x² -11x -6 ) ft.

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Answer:

At least 6

Step-by-step explanation:

I did guess and check for the formula. I first started with 5 golf balls

C(x)=5^2-18*5+141

C(x)=76 too high

Then I tried 6

C(x)=6^2-18*6+141

C(x) = 69

It would have to be 6 because you need a whole number of golf balls and 5 made the cost too high

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

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Answer:

x=32

Step-by-step explanation:

Hope this helps. Have a great day and plz give brainliest.

Answer:

cylinder

Step-by-step explanation:

wa can rewrite it as 12/1 which is A

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer:

\( \frac{8x + 7}{(x + 2)(x - 1) }\)

\( \frac{8x + 7}{ {x}^{2} + x - 2 } \)

a) The inequality for the expression 2z + 9 is 2z + 9 > 13.

b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The inequality for the expression 4 + 2z is 4 + 2z > 8.

d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.

a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:

2z > 2 * 2

2z > 4

Adding 9 to both sides:

2z + 9 > 4 + 9

2z + 9 > 13

Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.

b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:

3z - 3 * 4

3z - 12

Since we are given that z > 2, we can substitute z > 2 into the expression:

3z - 12 > 3 * 2 - 12

3z - 12 > 6 - 12

3z - 12 > -6

Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.

c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:

4 + 2z > 4 + 2 * 2

4 + 2z > 4 + 4

4 + 2z > 8

Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.

d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):

5 * 3z - 5 * 2

15z - 10

Considering the given inequality z > 2, we can substitute z > 2 into the expression:

15z - 10 > 15 * 2 - 10

15z - 10 > 30 - 10

15z - 10 > 20

Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.

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Answer:

\(\frac{1}{7}\)

Step-by-step explanation:

6 weeks is 42 days.

6 days/42 days = 1/7

Step-by-step explanation:

Least to greatest

= 0.919, 0.99, 1.09

Answer:.919,099,1.09

Step-by-step explanation:

Total amount of money in the account will be $456.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest.

The formula for simple interest is: Simple Interest = Principal × Rate × Time

Principal (P) is $300

Rate (R) is 6.5%

Time (T) is 8 years.

Simple Interest = $300 × 0.065 × 8

Simple Interest = $156

Total Amount = Principal + Simple Interest

Total Amount = $300 + $156

Total Amount = $456.

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Answer:

1. adjacent

2. vertical

3. adjacent

Step-by-step explanation:

adjacent angles: angles next to each other with one common side

vertical angles: 2 non-adjacent angles formed by the intersection of 2 lines

complementary angles: two angles whose measures add to 90 deg

supplementary angles: two angles whose measures add to 180 deg

linear pair: 2 adjacent angles whose non-common side lie on a single line

Part 1

1  Adjacent

2. Vertical

3. Adjacent

4. Linear pair

5. Adjacent

6.  Linear pair

7. Vertical

8. Complementary angles

9.Supplementary angles

Part 2

10. <BGC and <CGD

11. <AGD and <CGF

12. <BGC and <CGD

13. <AGF and <AGD

14. <AGB and <BGC

15. <FGC

This term refers to angles sitting side by side, like next to each other.

This term refers to angles sitting in the face of the each other or opposite to each other.

This term refers to angles that sum up to 90 degrees.

This term refers to angles that sum up to 180 degrees. When the angles are formed by a single point of intersection in a straight line it is called Linear pair.

This term refers to a form of supplementary angles where the angles are formed from a single point of intersection. The angles formed in linear pair are adjacent to each other

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Answer:

Angles 2, 3 and 6,7 are acute angles

Answer:

∠2≅∠3

∠6≅∠7

∠3≅∠6

∠2≅∠7

Step-by-step explanation:

Hello There!

Acute angles have to have an angle that measures less then 90 degrees. This can simply be determine by looking at the angle and seeing if it makes a smaller angle or a larger angle

∠2 and∠3 are vertical angles which have congruent measures

∠6 and∠7 are also vertical angles

∠3 and∠6 are alternate interior angle which are can be known for being congruent

∠2 and ∠7 are alternate exterior angles which are also congruent

so angles 2, 3, 6 and 7 are all congruent

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Part 1: The first five terms of the sequence are -1, 16, 69, 266, 1039

Part 2: The first five terms of the sequence are 12, 12, 130/9, 69/4, 126

Part 1:

For finding the first five terms we will substitute values in n from 1,2,3,4 and 5

an = 2n^2 + 5n-10

a1 = 2(1)^2 + 5(1)-10

=4+5-10 = -1

So, the first term is -1

a2 = 2(2)^2+5(2)-10

= 16+10-10 =16

The second term is 16

a3 = 2(3)^2+5(3)-10

=64+15-10

=69

The third term is 69

a4 = 2(4)^2+5(4)-10

=256+20-10

=266

The fourth term is 266

a5 = 2(5)^2+5(5)-10

= 1024+25-10

= 1039

The fifth term is 1039

Part 2:

an = 3n+4/n^2+5

a1 = 3(1)+4/1^2+5

= 3+4+5

= 12

The first term is 12

a2 = 3(2)+4/2^2+5

= 6+1+5

= 12

The second term is 12

a3 = 3(3)+4/3^2+5

= 9+4/9+5

= 81+4+45/9

=130/9

The third term is 130/9

a4 = 3(4)+4/4^2+5

= 12+4/16+5

=17+1/4

=69/4

The fourth term is 69/4

a5 = 3(5)+4/5^2+5

= 15+4/25+5

=20+4/25

=504/4

= 126

The fifth term is 126

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\( \frac{ab}{de} = \frac{bc}{ef} = \frac{ac}{df} \)=k

\( \frac{6}{18} = \frac{12}{ef} \)

\(ef = 36\)

\( \frac{12}{36} = \frac{ac}{15} \)

\(ac = 5\)

\( \frac{6}{18} = \frac{12}{36} = \frac{5}{15} = \frac{1}{3} \)

I hope it helps

Answer:

Step-by-step explanation:

If it is parallel with the line 2x-3y=9

Both of them have same slope so

2x-3y=9 turn this into slope intercept form first

-3y=9-2x

Y=9/-3 + -2x/-3

Y=2/3x - 3 the slope of this equation is ⅔

So our new equation will be

Y=⅔x +b

Since (6,7)

On the line

6=⅔(7)+b

b= 6-14/3=4/3

Y=⅔x+4/3 (slope intercept form)

3y-2x=4 ( general equation of line )

The equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19

The equation of a line in point slope form is expressed as

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line.

Given the equation 2x - 3y = 9

Rewrite in standard form y = mx + b

-3y = -2x + 9

y = 2/3 x - 3

Compared with the standard, the slope of the line is 2/3

Substitute the slope and the point into the point slope equation.

y - 7 = 2/3 (x - 6)

3(y-7) = 2(x-6)

3y - 21 = 2x - 2

3y - 2x = 19

Hence the equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19

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