(-1)7 + (-1)8 + 1" + (-1)² + (-1)2n+1

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-6 = n/2 - 10

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -6 does indeed equal -6.

∴ n = 8 is the solution to the equation.

Step-by-step explanation:

if the green marble is probably rare the red marble should have a probability of 1/45

i hope you like it.

In summary, the relationships between the corresponding sides and angles of similar triangles are: Corresponding sides are proportional and congruent.

When two triangles are similar, the corresponding sides of the triangles are proportional. This means that the ratio of the lengths of corresponding sides in the two triangles is equal. Similarly, the corresponding angles of similar triangles are congruent. This means that the angles in the two triangles that correspond to each other are equal in measure.

When two triangles are similar, it means that they have the same shape but possibly different sizes. The concept of similarity implies that the corresponding sides of the triangles have the same proportional relationship.

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Answer:

the one that looks like a v

Step-by-step explanation:

bc for every y-input, there is only one output-x

Answer:

2

Explanation:

You have to calculate the rise over run. See how many times it rises from the bottom. Then see how many times it takes horizontally to get to the next corner. Not sure if this helped but I tried sorry lol (but dw the answer is correct)

Answer:

r = .03 or 3%

Step-by-step explanation:

Interest = Principal x Rate x Time

15000 = 50000(10)r

15000 = 500000r

r = 15/500

r = .03 or 3%

Answer:

2) D

because:

\( \frac{9}{1} \times 4 \\ 9 \times 4 \\ 36 \: is \: not \: equal \: to \: 4\)

4) B

because:

\( \frac{5}{5} \times 8 \\ 1 \times 8 \\ 8 \: is \: equal \: to \: 8\)

Answer: (from the top) 11, 13, 15, 21

Step-by-step explanation:

2(3)+5 =11

2(4)+5 =13

2(5)+5 =15

2(8)+5 =21

Explanation:

line ⇒ a straight arrangement of points extending without end in opposite directions.

line segment ⇒ part of a line that consists of two points called endpoints and all of the points between those endpoints.

ray ⇒ part of a line that consists of an endpoint and all points on the line that extends in one direction.

point ⇒ has no dimension; is one of the undefined terms of geometry. Some may also refer to a point as a dot or dots on a line.

Answer: question#7 is 7/12

question#8 is 1  3/8

question#5 is 1/2

question#6 is 12

question#9 is 1  1/6

question#10 is 31/40

question#11 is 3/4

Step-by-step explanation: give brainliest

Question #5: Option A, \(\frac{1}{2}\)

Question #6: Option A, 12

Question #7: Option A, \(\frac{7}{12}\)

Question #8: Option D, \(1\frac{3}{8}\)

Question #9: Option D, \(1\frac{1}{6}\)

Question #10: \(\frac{31}{40}\)

Question #11: \(\frac{3}{4}\)

Pls mark brainliest

BCA

First box is 8 and 6

second is 5 and 10

3rd is 8 and 8

To solve this problem, we can use the binomial probability distribution. Let's define a "success" as scoring a goal and a "failure" as missing a goal.

Then, each attempt by Sky can be considered a Bernoulli trial with probability of success p = 1/2.

Let X be the number of goals that Sky scores in five attempts. Then, X follows a binomial distribution with parameters n = 5 and p = 1/2.

To find the probability that Sky scores at least two goals, we need to calculate the probability of the following events:

P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

We can use the binomial probability formula to calculate these probabilities:

P(X = k) = (n choose k) * \(p^k\) *\((1-p)^(n-k)\)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n distinct items.

Using this formula, we get:

P(X = 2) = (5 choose 2) * \((1/2)^2\) * \((1/2)^3\) = 10/32

P(X = 3) = (5 choose 3) * \((1/2)^3\) * \((1/2)^2\) = 10/32

P(X = 4) = (5 choose 4) * \((1/2)^4\) *\((1/2)^1\) = 5/32

P(X = 5) = (5 choose 5) * \((1/2)^5\) * \((1/2)^0\) = 1/32

Therefore, the probability that Sky scores at least two goals is:

P(X ≥ 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = (10 + 10 + 5 + 1)/32 = 26/32 = 13/16

So the probability that Sky scored at least two goals is 13/16.

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The total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.

Sky attempted to score a goal five times. For each attempt, she was equally likely to make a goal or miss. So the probability that Sky scored at least two goals is 13/16.

To find the probability that Sky scored at least two goals, we can use complementary probability, which means finding the probability that she scored fewer than two goals (either 0 or 1 goal) and subtracting that from 1.1.

Probability of scoring 0 goals: Since there are 5 attempts and she is equally likely to make a goal or miss (1/2 chance for each), the probability of missing all 5 is (1/2)^5 = 1/32.2.

Probability of scoring 1 goal: Sky could score in any of the 5 attempts, so we need to consider all possible ways of scoring one goal.

There are 5 ways (score in the 1st, 2nd, 3rd, 4th, or 5th attempt). The probability for each of these scenarios is (1/2)^5 = 1/32.

Therefore, the total probability of scoring 1 goal is 5 * (1/32) = 5/32.Now we find the complementary probability:1 - (Probability of 0 goals + Probability of 1 goal) = 1 - (1/32 + 5/32) = 1 - 6/32 = 26/32.

To express this as a common fraction, we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:26/32 = (26/2) / (32/2) = 13/16So the probability that Sky scored at least two goals is 13/16.

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Solution:

Given that a committee of 4 teachers and 3 students is to be formed from 12 teachers and 35 students, we have

Recall that:

This gives:

Hence, the number of committees that can be formed is

Answer:

Corresponding parts are congruent

Congruent parts:

Sides

Angles in simple form

Angles in full format

----------------------------------------------------------------------------------

Congruent parts:

Sides

Angles in simple form

Angles in full format

----------------------------------------------------------------------------------

Congruent parts:

Sides

Angles in simple form

Angles in full format

9514 1404 393

Answer:

Step-by-step explanation:

The key with naming corresponding parts is to use the congruence (or similarity) statement. Corresponding vertices are those that are in the same position in the congruence statement, regardless of what the figure may look like.*

Angles can be named using the letter at its vertex--if there is only one angle with that vertex--or using three letters. The three letters name a point on one ray, the vertex, and a point on the other ray. When naming corresponding angles from a congruence statement, it is nice (but not absolutely essential) to name the corresponding rays in the same order. In any event, the named vertices must be corresponding.

Sides are named using two letters--the points at the end of the side. The points used to name corresponding sides must come from the same positions in the congruence statement. Technically, side named AB is the same as side BA, but it is nice to use corresponding points in the same order when naming corresponding sides. Example: in the first figure, CB≅JK, but it is also true that BC≅JK because CB can be named either as CB or BC. In both cases, the points named are the 1st and 2nd in the congruence statements.

In the answer section above, we have used 3-letter angles where a vertex is shared by two or more angles. We have used single-letter names for angles where there is no ambiguity. When asked to name all the names, as here, it is best to make use of a pattern you understand. For angles, we worked left-to-right down the congruence statement; for sides we used the pattern 12, 13, 23 for the positions of the letters in the congruence statement.

_____

* Sometimes, poorly-edited curriculum materials will misstate the congruence statement. It is best to report the problem to your teacher in those cases. Sometimes, the figure is intentionally misleading (as in the second problem here). For those, you must pay careful attention to the congruence statement.

Answer:

4.25(x)=38.25

Step-by-step explanation:

Thus, the distribution will be approximately normal when the sample size is large.

According to the central limit theorem, even if a population isn't normally distributed, if you take sufficiently big samples from it, the sample means will be.

Here,

the central limit theorem say about the shape of the distribution of the sample means because

If the sample size is big, the solution will be when the distribution is roughly normal.

thus, the distribution will be approximately normal when the sample size is large.

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In economics, a utility function is a mathematical function that assigns a numerical value to the satisfaction or utility that a consumer derives from consuming a particular combination of goods and services.

First, let's correct the utility function you provided. I believe it should be:
u(x1, x2) = x1^2 + x2^2

Now, let's find the marginal utility functions with respect to x1 and x2. The marginal utility is the derivative of the utility function with respect to the corresponding variable.

(a) Marginal utility function with respect to x1:
MU_x1 = d(u(x1, x2))/dx1 = 2x1

Marginal utility function with respect to x2:
MU_x2 = d(u(x1, x2))/dx2 = 2x2

(b) The significance of this utility function is that it exhibits diminishing marginal utility for both x1 and x2. As the consumption of x1 or x2 increases, the additional utility gained from consuming more units of x1 or x2 decreases.

This is evident in the marginal utility functions MU_x1 and MU_x2, where the derivatives are constant values (2x1 and 2x2), indicating a linear relationship.

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The dimensions of the rectangle are 59 by 50 inches

The given parameters are

Length (l) = 1/2 width (w) + 9

Perimeter (P) = 318

Perimeter is calculated as

P = 2 (l + w)

Substitute l = 1/2w + 9 in P = 2(l + w)

So, we have

2 * (1/2w + w + 9) = 318

Evaluate the like terms

2 * (1.5w + 9) = 318

Divide by 2

1.5w + 9 = 159

So, we have

1.5w = 150

Divide by 15

w = 100

Substitute w = 100 in l = 1/2w + 9

l = 1/2 * 100 + 9

Evaluate

l = 59

Hence. the dimensions of the rectangle are 59 by 50 inches

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The factorized form of cos(7x) - cos(x) is -2sin(4x)sin(3x). We have proven that cos(A + B) cos(A - B) = -2sin(A)sin(B).

To prove the equation cos(A + B) cos(A - B) = -2sin(A)sin(B), we'll start with the left-hand side (LHS) and manipulate it to show that it is equal to the right-hand side (RHS). LHS: cos(A + B) cos(A - B). Using the trigonometric identity cos(A + B) = cos(A)cos(B) - sin(A)sin(B), we can rewrite the LHS as: LHS = (cos(A)cos(B) - sin(A)sin(B)) cos(A - B)

Now let's use the trigonometric identity cos(A - B) = cos(A)cos(B) + sin(A)sin(B) to substitute the value of cos(A - B) in the above equation: LHS = (cos(A)cos(B) - sin(A)sin(B)) (cos(A)cos(B) + sin(A)sin(B)). Expanding the above equation using the distributive property: LHS = cos^2(A)cos^2(B) - sin^2(A)sin^2(B). Using the trigonometric identity sin^2(x) = 1 - cos^2(x), we can rewrite the LHS further: LHS = cos^2(A)cos^2(B) - (1 - cos^2(A))(1 - cos^2(B))

Expanding the equation: LHS = cos^2(A)cos^2(B) - (1 - cos^2(A) - cos^2(B) + cos^2(A)cos^2(B)). Combining like terms: LHS = 2cos^2(A)cos^2(B) - 1. Now let's simplify the RHS: RHS = -2sin(A)sin(B). Finally, we can see that the LHS is equal to the RHS: LHS = 2cos^2(A)cos^2(B) - 1 = -2sin(A)sin(B) = RHS. Therefore, we have proven that cos(A + B) cos(A - B)= -2sin(A)sin(B). Now, moving on to the second part of the question, which is to factorize cos(7x) - cos(x): cos(7x) - cos(x)

Using the trigonometric identity cos(A) - cos(B) = -2sin((A + B)/2)sin((A - B)/2), we can rewrite the expression as: cos(7x) - cos(x) = -2sin((7x + x)/2)sin((7x - x)/2). Simplifying the equation: cos(7x) - cos(x) = -2sin(8x/2)sin(6x/2). cos(7x) - cos(x) = -2sin(4x)sin(3x). Therefore, the factorized form of cos(7x) - cos(x) is -2sin(4x)sin(3x).

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Step-by-step explanation:

5 lines of symmetry

pentagon:5 lines of symmetry

Answer:

I don't know what the options are, but my equation is (1/4) * n = 9

Step-by-step explanation:

n yards

Each strip = 1/4 yard

9 bracelets made

9 = (1/4) * n

ANSWER:

(x - 2) • (x - 3)

Step by Step Solution:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP

1

:

Trying to factor by splitting the middle term

1.1 Factoring x2-5x+6

The first term is, x2 its coefficient is 1 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is +6

Step-1 : Multiply the coefficient of the first term by the constant 1 • 6 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + -1 = -7

-3 + -2 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -2

x2 - 3x - 2x - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-3)

Add up the last 2 terms, pulling out common factors :

2 • (x-3)

Step-5 : Add up the four terms of step 4 :

(x-2) • (x-3)

Which is the desired factorization

Final result :

(x - 2) • (x - 3)

The probability of selecting a jack, replacing the card, and then selecting a king is 1/169

In a standard deck of cards, we have:

Total = 52

Jack = 4

King = 4

The probability of each is:

P(Jack) = 4/52

P(King) = 4/52

So, we have:

P = 4/52 * 4/52

Simplify

P = 1/13 * 1/13

Evaluate

P = 1/169

Hence, the probability is 1/169

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Answer:

is rational number.......

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

Here, we need to find the single equation of the lines passing through origin and perpendicular to the lines represented by the equation

3x2 + xy – 10y2 = 0.

By factorisation; the lines represented by the equation 3x² + xy – 10y² = 0 can be gotten as;

The product of the slope of 2 perpendicular lines is -1.

Therefore: the slope of the lines required are given by;

m1 = -1/(3/5) and m2 = -1/(-1/2)

Therefore, the slopes of the two lines are;

m1 and m2 are -5/3 and 2 respectively.

The equations of the lines since they pass through the origin, (0,0) is therefore;

y = (-5/3)x OR 3y + 5x = 0

y = 2x. OR y - 2x = 0

The equations of the two lines are 3y + 5x = 0. and y - 2x = 0.

Therefore; the single line is given as the product of both expressions; which yields;

3y² - xy - 10x² = 0.

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Answer:  3x2 + xy + -10y2 = 0

Reorder the terms:

xy + 3x2 + -10y2 = 0

Solving

xy + 3x2 + -10y2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3x + -5y)(x + 2y) = 0

Step-by-step explanation:  please help!! go into my account and solve my question plz

Answer:

Step-by-step explanation:

Pretty obvious this is an exponential decay graph, so it's either 'divide' or 'multiply'.

Answer:

180

Step-by-step explanation: