Using inductive reasoning, what is the most reasonable conjecture for the number of triangles in the eighth figure in the pattern? Enter your answer as a number.

Answer:

Here both a & b are positive integers that are obtained from the expression (-a)(-b).

Step-by-step explanation:

It is given that a and b are both positive integers, therefore -a and- b are negative integers.

Now, using this we need to simplify the expression (-a)(-b);

Firstly, let us understand what are integers and types of integers;

The collection of whole numbers and negative numbers is known as an integer in mathematics.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers.

The inverse additives of the equivalent positive numbers are the negative numbers.

Now, let us understand what are positive and negative integers;

In fact, positive integers are a subset of the wider class of numbers known as integers.

Integers with a negative value are those that are less than zero. They exclude decimals and fractions.

Furthermore, the expression given is (-a)(-b) which is the product of two negative integers.

=> (-a)(-b)

=> ab

Therefore, here both a & b are positive integers that are obtained from the expression (-a)(-b).

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Answer:

RDASFD

Step-by-step explanation:

The amount that each cup of coffee cost you will be $0.5 per cup.

It should be noted that the information illustrated that Jane decides that he is spending too much money at his favorite coffee place and she finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home.

It should be noted that since 2 tablespoons equals 1 ounce, the number of teaspoons will be:

= 24 × 2

= 48 teaspoons

Therefore, the amount that each cup of coffee cost you will be:

= Cost / Number of cups

= $12 / (48 / 2)

= $12 / 24.

= $0.5

Therefore, the amount that each cup of coffee cost you will be $0.5 per cup.

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Answer:

1) 1/8

Step-by-step explanation:

2[tex]2^{-2}[/tex]= 1/2^2 = 1/4

2^-1 = 1/2^1 = 1/2

1/4x1/2=1/8

hope this helps

Answer:

x = 4

Step-by-step explanation:

The two angles labeled on the diagram are alternate exterior angles and by the Alternate Exterior Angles Theorem, they are congruent. So we can set up an equation like this to solve for x.

2x + 19 = x + 23

x = 4

The y-coordinate of the point on the line when x = 8 is -1

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 1/2

Point, (x1, y1) = (2, -4)

The linear equation is calculated as

y = m(x - x1) + y1

So, we have

y = 1/2(x - 2) - 4

When x = 8, we have

y = 1/2(8 - 2) - 4

Evaluate

y = -1

Hence, the y-coordinate of the point on the line when x = 8 is -1

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Answer:

5 + 6*10^-1 +

Step-by-step explanation:

I got you started... If you still need extra help, let me know.

when you add 102+112 you know that shae drove the fastest

The number of honeybees which it will take to make the required 2 tablespoons of honey as required in the task content is; 72.

It follows from the conversion factor given in the task content that;

3 teaspoons is equivalent to 1 tablespoon.

Hence, 1/12 teaspoons is equivalent to;

= (1/12 ×1) ÷ 3

= 1/36 tablespoons.

On this note, one honeybee can make 1/36 tablespoons of honey in its lifetime.

Hence, if 2 tablespoons of honey is needed, the number of honeybees required is; 2/(1/36)

= 2 ÷ 1/36

= 2 × 36

= 72 honeybees.

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Step-by-step explanation:

so 2 • 2 = 4x then 3•3=9y since they aren't like terms so u have to leave it like that hope this helps

The number with the larger value of 8 is 184.36 and it is 100 times larger.

Place value of a digit can be defined as the position of the particular digit in a given number.

Example;

The place value of 5 in 2850 is  50

Given the digits;

184.36

9027.83

Place value of 8 in 184.36 is 80

Place value of 8 in 9027.83  is 0. 8

Let's find the ratio;

= 80/ 0. 8

= 100 times

Thus, the number with the larger value of 8 is 184.36 and it is 100 times larger.

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Answer:

2 - √3

Step-by-step explanation:

Find other root. Use x as a substitute.

[tex]x = 2 + \sqrt{3}\\x - 2 = \sqrt{3}\\\left(x - 2\right)^2 = 3\\x^2 = 4 - 2 \times x \times 2 = 3\\x^2 - 4x + 1 = 0[/tex]

Now, we must use the quadratic formula to find the rest of the solution.

[tex]x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}\\x = \frac{4\pm \sqrt{\left(-4\right)^2-4 \times 1 \times 1} }{2}\\\frac{4 \pm \sqrt{12} }{2} = 2 \pm 3[/tex]

If one root of this polynomial [root] is 2 - √3, the other will be 2 + √3. Inversing that rule, the answer is 2 - √3.

Answer:

11.02

Step-by-step explanation:

The correct statements regarding the mean and the median of the distribution are given as follows:

b. Median = 3 and Mean = 3.5.

From the frequency table, we have that:

The number of values in the data-set is:

5 + 7 + 8 + 6 + 5 + 3 + 1 + 1 = 36.

Hence the mean is given by:

M = (5 x 1 + 7 x 2 + 8 x 3 + 6 x 4 + 5 x 5 + 3 x 6 + 1 x 7 + 1 x 10)/36 = 3.5.

The median will be the 36/2 = 18th value, which is of 3.

Hence the correct statement is:

b. Median = 3 and Mean = 3.5.

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Answer:

Hmmm, the x in the first one is 4.8

The x in the second x is 18.5

Which means that the length for 48x m is 230.4 and the length for 12x m is 33.6

The length for the second image is 4x cm is 74 and 12x cm is 222

Step-by-step explanation:

Answer:

[tex]50ft[/tex]

Step-by-step explanation:

you have to find the missing side by subtract

[tex]14.8 - 7 = 7.8[/tex]

and

[tex]10.2 - 4.5 = 5.7[/tex]

then you add all these to find the perimeter

[tex]p = 14.8 + 4.5 + 7.8 + 5.7 + 7 + 10.2 [/tex]

[tex]p = 50ft[/tex]

do not leave out your signs

Answer: 5

Step-by-step explanation:

(9 × 3 + 1)× 6 over 3d (Cancel out 3 in both numerator and denominator)

2(1 + 3 × 9 ) over d (Multiply 3 and 9 to get 27)

2(1 + 27) over d (Add 1 and 27 to get 28)

2×28 over d (Multiply 2 and 28 to get 56)  

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Answer:

Commutative Property of Multiplication

Step-by-step explanation:

The Commutative Property of Multiplication essentially states that constants and variables can be multiplied in any order and the product will not change.

For example, the multiplication of 5 x 4 = 20 and 4 x 5 = 20 are equivalent. No matter what, you will get the same product.

Both equations utilize the distributive property, which states that an expression a(b ± c) can be multiplied to create ab ± ac. As such, we can rearrange the a to either the front or end of the expression and retrieve the same results.

Your answer is the Commutative Property of Multiplication.

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Answer:

40€

Step-by-step explanation:

the amount discounted is200€

the 200€ is the amount

hence 100%=200€

what about. 20%

20×200€ ÷100%

= 40€

The discount is applied on 1000 euros.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100. The percent value of one quantity to the other can be calculated by multiplying their ratio by 100.

The discount percent and the discounted price is 20% and €200 respectively.

Suppose the original price be  x.

Then, the following equation can be written as,

20% × x = 200

⇒ 20x/100 = 200

⇒ x = 1000

Hence, the original price is obtained as €1000.

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Answer:

-3/50

Step-by-step explanation:

The coefficient is the dependent or standalone integer(s) that are either multiplied by the variable or go along with the variable in the expression. Thus, this(the answer) is the coefficient.

Hope this helps!

Answer: Hello: )✨-3/50

Step-by-step explanation:

The coefficient is the dependent or standalone integer(s) that are either multiplied by the variable or go along with the variable in the expression. Thus, this(the answer) is the coefficient.

: Have an amazing Day/Night<3

Answer: D

Step-by-step explanation:

Range affects y-coordinates

Range starts from -8 and ends at 7. -8 is included in the range, but 7 isn't.

Hence, the answer is -8<=y<7, but the best matching answer is -8<=y<8 since these two inequalities share the most number of solutions.

Hence, the answer is D

Based on the scale factor of 1:6, if the area of the activity field is 21,600 square feet, the area of the playground is equal to 3,600 square feet.

Given the following data:

Scale factor = 1:6

Area of the activity field = 21,600 square feet.

A scale factor can be defined as the ratio of two (2) corresponding length of sides, area, or diameter in two similar geometric figures such as equilateral triangles, river, planets in our solar system, etc.

Let E represent the area of the elementary playground.

Let H represent the area of the high school activity field.

Therefore, a mathematical expression which relates the area of the elementary playground to the area of the high school activity field is given by:

E : H 1:6 = x : 21,600

Evaluating, we have:

1/6 = x/21,600

Cross-multiplying, we have:

6x = 21,600

x = 21,600/6

x = 3,600 square feet.

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The least amount of each hot dogs and hot dog buns Beverly needs to buy is 24

Find the least common multiple (LCM) of 12 and 8

The least common multiple (LCM) of 12 and 8 is 24

Number packages of each item would Beverly have to buy?

Hot dog = 12 in a package

= 24 /12

= 2 packages

Hot dog buns = 8 in a package

= 24/8

= 3 packages

Therefore, the number of packages of each hot dogs and hot dog buns would Beverly have to buy us 2 packages and 3 packages respectively.

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The measure of angle FGE from the given figure is 28°.

Given that, the measure of arc CDE = 118° and the measure of arc EF = 62°.

The measure of an arc is equal to the measure of its corresponding central angle.

From the given figure, the measure of arc CDE = 118° = corresponding central angle (∠CAE)

So, ∠CAE = 118°

From the given figure, the measure of arc FE = 62° = corresponding central angle (∠FAE)

So, ∠FAE = 62°

As we know the radius of a circle is perpendicular to the tangent.

That is, AE ⊥ EG

So, ∠AEG = 90°

Now, ∠AGE+∠AEG+∠GAE = 180° (The sum of interior angles of a triangle is equal to 180°)

∠AGE + 90° + 62° = 180°

⇒ ∠AGE + 152° = 180°

⇒ ∠AGE = 28°

So, ∠AGE = ∠FGE = 28°

Therefore, the measure of angle FGE from the given figure is 28°.

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The angle FGE will be equal to 28 degrees.

The phrase "the intersecting chords theorem" refers to a relationship between the four-line segments formed by two intersecting chords inside of a circle. The products of the line segment lengths on each chord, according to this statement, are equal.

Given that if the measure of arc CDE=118 degrees and the measure of arc EF=62 degrees. The angle FGE will be calculated as:-

Angle CDE=118 then the angle AFE will be:-

AFE = 180 - 118 = 62

From the angle of chord theorem angle EBF = 31. Now the angle AFE and AEF will be 59 degrees. Angle GEF will be 31 degrees and angle EFG will be 121 degrees by supplementary property.

Angle EGF = 180 - 121 - 31 = 28

Therefore, the angle FGE will be equal to 28 degrees.

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Answer:

B

Step-by-step explanation:

[tex]6\%=0.06 \\ \\ 7/100=0.07[/tex]

Answer: Stefan can feed Coco for 5 days.

Explanation: After making the granola bars for the camping trip, he has [tex]1\frac{1}{4}[/tex] cups of oats left over.

Coco, the parrot, needs [tex]\frac{1}{4}th[/tex] of a cup of oats for eating each day.

After figuring out the math, Stefan can feed Coco for 5 days.

To double check that 5 days is correct, take 5 times [tex]\frac{1}{4}[/tex] and you will get [tex]1\frac{1}{4}[/tex].

[tex]1\frac{1}{4}[/tex] is what Stefan had left after making the bars, meaning the answer is correct.

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Hope this helps!

Have a great day and God bless! :)

Answer:

A submarine submerged at a depth of 40.21 feet dives 57.35 more feet down. What is the new depth of the submarine?

Step-by-step explanation:

Solving:

Rewrite the equation:

It first dived 40.21 feet so our equation is -40.21 + ? so far.

Next it dives another 57.35 feet so the final equation becomes -40.21 + (57.35)

To answer:

-40.21 + (57.35)= -97.56

Hence, the answer would be -97.56

$0.48   or   48₵

Divide $5.75 by 12 cans

[tex]5.75/12[/tex]

Equaling =  0.479...

                         ⬆️

Round to the nearest cent

[tex]0.48[/tex] ✅

Hope this was helpful! (✿◠‿◠)