What are the x-intercepts
1. (x - 12) (x + 6) = 0​

Answer:

\(The~expression=7(\frac{5}{3})^{(1-1)}+ 7(\frac{5}{3})^{(2-1)}+7(\frac{5}{3})^{(3-1)}+7(\frac{5}{3})^{(4-1)}+7(\frac{5}{3})^{(5-1)}\\~~~~~~~~~~~~~~~~~~~~~~=7(\frac{5}{3})^0+7(\frac{5}{3})^1+7(\frac{5}{3})^2+7(\frac{5}{3})^3+7(\frac{5}{3})^4\\~~~~~~~~~~~~~~~~~~~~~~=7(1)+\frac{35}{3}+7(\frac{25}{9})+7(\frac{125}{27}) +7(\frac{625}{81})\\~~~~~~~~~~~~~~~~~~~~~~=7+\frac{35}{3}+\frac{175}{9}+\frac{875}{27} +\frac{4375}{81} \\\)

\(=\frac{7(81)}{81}+\frac{35(27)}{3(27)} +\frac{175(9)}{9(9)} +\frac{875(3)}{27(3)}+\frac{4375}{81}\\=\frac{7(81)+35(27)+175(9)+875(3)+4375}{81}\\=\frac{10087}{81}\\=124.53086~(approximate)\)    

Answer:

Step-by-step explanation:

v-lxbxh

4x5x65

=20x65

=1300m∧3

Answer:

Slope- 5  y-int- (0,0)

Step-by-step explanation:

y=mx+b, where m=slope and b=y-int. m=5, and we don't see a b, so it must be 0.

Answer:

A

Step-by-step explanation:

So, we are given a right triangle and we know that 2x+4 is the length of the hypotenuse and 8 is the length of one of the sides.

Remember that the hypotenuse in a right triangle will always always be the longest side. Therefore, we can write the following inequality:

\(2x+4>8\\2x>4\\x>2\)

The answer is A.

Answer:x>2

Step-by-step explanation:

2x+4>8

2x>8-4

2x>4

x>4/2

x>2

Answer:

your answer should be a

Step-by-step explanation:

The number of ways that 6 people can all be arranged in a line is 720. To find the number of ways that 6 people can be arranged in a line ,We can use the formula for permutations.

Which is n!/(n-r)!, where n is the total number of items and r is the number of items selected at a time. In this case, n = 6 (the total number of people) and r = 6 (they all need to be arranged in a line), so we get 6!/0!, which simplifies to 6 x 5 x 4 x 3 x 2 x 1 = 720. Therefore, there are 720 ways to arrange 6 people in a line.
In summary, the main answer to the question of how many ways 6 people can be arranged in a line is 720. The detail answer explains the formula used to arrive at this answer, which is n!/(n-r)!, where n is the total number of items and r is the number of items selected at a time.

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The area of the triangle is mathematically given as

A=20.8cm

This is further explained below.

The region that is surrounded by the perimeter of the triangle, also known as the three sides of the triangle, is referred to as the area of the triangle.

The space that is encompassed by all three of a triangle's sides is referred to as the triangle's area.

It is computed with the assistance of a variety of formulae that differ according to the kind of triangle, and the results are represented in square units such as centimeters squared, inches squared, and so on.

Generally, the equation for Area the is mathematically given as

A = 1/2 * base * height

Therefore

A= 1/2 * 8 * 5.2

A=20.8cm

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Answer:

5.20 I think bababsbbsbabbabav

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

4 -.-

Step-by-step explanation:

The correct answer is (E) The possible p-values are 0.22 and 0.88.

If the experimenter conducted a one-tailed hypothesis test on the same set of data, the possible p-value(s) that they could have obtained would depend on the direction of the test.

In a one-tailed test, the hypothesis is directional and the experimenter is only interested in one side of the distribution (either the upper or lower tail). Therefore, the p-value would only be calculated for that one side.

If the original two-tailed test had a p-value of 0.44, it means that the null hypothesis was not rejected at the significance level of 0.05 (assuming a common level of significance).

If the experimenter conducted a one-tailed test with a directional hypothesis that was consistent with the direction of the higher tail of the original two-tailed test, then the possible p-value would be 0.22 (half of the original p-value). If the directional hypothesis was consistent with the lower tail of the original two-tailed test, then the possible p-value would be 0.88 (one minus half of the original p-value).

Therefore, the correct answer is (E) The possible p-values are 0.22 and 0.88.

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Answer:

1.0 x \(10^{6}\)

Step-by-step explanation:

Answer:

1.0*10^-6!!!

Step-by-step explanation:

9514 1404 393

Answer:

  9⁸

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

__

  \(\dfrac{9^3\cdot9^4}{9^2}\cdot9^3=9^{3+4-2+3}=\boxed{9^8}\)

Answer:

9

Step-by-step explanation:

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

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Answer:

3/8

Step-by-step explanation:

hope this helps

pls mark as brainliest

The words are on each page is 73.

Given:

A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.

The number of words in the book is congruent to 184, modulo 203.

136n mod 203 =184,

solve for n

Using CRT + MMI

n =203m  +  73,  where m =0, 1, 2, 3....

Therefore the words are on each page is 73.

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Answer:

8

Step-by-step explanation:

6+8+2= 16

6/16, 8/16, 2/16

P= 8/16= 1/2

Given:

i) 3, -5, -2, 1

ii) -1, -8, -7, -2

iii) -2, -4, 0, 2

To find:

increasing order of the given numbers.

Solution:

Increasing order: We need to start from the smallest number, then write larger number and end with the largest number.

We know that all negative numbers are less than the positive numbers and larger negative value is always the smaller one.

For example: -3 is less than -1.

i) We have,

3, -5, -2, 1

So, the increasing order of these number is -5, -3, -2, 1.

ii) We have,

-1, -8, -7, -2

So, the increasing order of these number is -8, -7, -2, -1.

iii) We have,

-2, -4, 0, 2

So, the increasing order of these number is -4, -2, 0, 2.

Answer:

its A: commutative and distributive properties

Step-by-step explanation:

i got it right

The proof used the distributive property and the associative property of multiplication.

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To be specific, the distributive property was used to break down the expression 4t + t as:

4t + t = (4 + 1)t ________(1)

And then the associative property was used to rearrange the terms as:

(4 + 1)t = 5t ________(2)

From (1) and (2)

We have shown that 4t + t is equivalent to 5t.

Thus,

The proof used the distributive property and the associative property of multiplication.

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The simplified expression is \(\frac{2^{1/3}}{(6)*y^{2/3} }\)

What is fraction?

A fraction is a mathematical expression that represents a part of a whole or a division of one quantity by another. It consists of two numbers separated by a horizontal line called a fraction bar or a vinculum. The number above the fraction bar is called the numerator, and the number below the fraction bar is called the denominator. Fractions can be proper, improper, or mixed. A proper fraction has a numerator that is smaller than the denominator. An improper fraction has a numerator that is greater than or equal to the denominator. A mixed fraction consists of a whole number and a proper fraction.

\(\frac{ \sqrt[3]{1} }{\sqrt[3]{108} \sqrt[3]{y^{2} } }\)

= \(\frac{1^{1/3} }{108^{1/3}*y^{2/3} }\)

= \(\frac{1}{(2^{2/3}*3)*y^{2/3} }\)

= \(\frac{2^{1/3}}{(2^{2/3}*2^{1/3}*3)*y^{2/3} }\)

= \(\frac{2^{1/3}}{(2*3)*y^{2/3} }\)

= \(\frac{2^{1/3}}{(6)*y^{2/3} }\)

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Answer:

6.4008

Step-by-step explanation:

Using equivalent decimals, the correct option regarding which lake lost the least amount of water is:

Hence, for the three lakes, the equivalent amounts are given by:

The smallest equivalent decimal is of 0.33, hence Lake Jensen lost the least amount of water and option A is correct.

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Answer:

16

Step-by-step explanation:

When the hypotenuse is given, you can use this formula to solve for the leg

b = root c^2 - a^2

b = root 20^2 - 12^2

b = 16 in

Hope this helps!

Answer:

22

Step-by-step explanation:

F(5)= 5(5) -3 (Replace x by 5)

F(5)= 25-3 (Solve for 5 and 5)

F(5)= 22 (Simplify)

22 (Answer)

Answer:

-1

Step-by-step explanation:

6x + 6=0

=> 6(x + 1) = 0

=> x + 1 = 0 => x = -1

8/36 = 2/9 represents the likelihood that the sum of the two rolled numbers is a perfect square.

 A fraction is a piece of the entire. The quantity is represented as a quotient by dividing the numerator by the denominator. Both are integers in a straightforward fraction. A fraction appears in a complex fraction's numerator or denominator. The numerator of a valid fraction is smaller than the denominator. Six times six is equal to 36 possible outcomes when two dice are rolled. Only 8 of these 36 possible outcomes—the result of two diced integers producing a perfect square—are beneficial for the occurrence of the essential occurrences. The six diagonal elements (a, a) from the sample space are shown here, along with two additional elements (1, 4) and (4, 1). probabilities are 8/36, or 2/9.

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