El 91 no es un número primo porque tiene más divisores que el 1 y el 91 verdadero o falso

Answer:

4^-10

Step-by-step explanation:

(4^-2)^5

4^-2 x 5

= 4^-10

hope this helped have fun doing school haha

Answer:

\(\frac{1}{32768}\)

Step-by-step explanation:

\((4^{-2})^{5}\)

\((\frac{1}{4^{2} }) ^{5}\)

\((\frac{1}{8})^{5}\)

\(\frac{1}{32768}\)

Answer: Yes, yes it does

Step-by-step explanation:

Answer:

increasing

Step-by-step explanation:

Answer:

16red 24yellow in total  40

Step-by-step explanation:

8 x 2 =16

12 x 2 = 24

Based on the given conditions, Jane has $31, Kevin has $25, and Hans has $50 in their wallets.

Let's solve the problem step by step.

First, let's assume that Jane has X dollars in her wallet. Since Kevin has $6 less than Jane, Kevin would have X - $6 dollars in his wallet.

Next, we're given that Hans has 2 times what Kevin has. So, Hans would have 2 * (X - $6) dollars in his wallet.

According to the information given, the total amount of money they have in their wallets is $106. We can write this as an equation:

X + (X - $6) + 2 * (X - $6) = $106

Simplifying the equation:

4X - $18 = $106

4X = $124

X = $31

Now we know that Jane has $31 in her wallet.

Substituting this value into the previous calculations, we find that Kevin has $31 - $6 = $25 and Hans has 2 * ($25) = $50.

To find the total amount they have, we sum up their individual amounts:

Jane: $31

Kevin: $25

Hans: $50

Adding these amounts together, we get $31 + $25 + $50 = $106, which matches the total amount stated in the problem.

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The complete question is:

Jane, kevin and hans have a total of $106 in their wallets. kevin has $6 less than Jane. hans has 2 times what kevin has. how much do they have in their wallets?

Central tendency, is the term that relates to the way data tend to cluster around some middle or central value.

Measures of central tendency are summary statistics that represent the center point or typical value of a dataset. Examples of these measures include the mean, median, and mode. These statistics indicate where most values in a distribution. Mode in statistics is the number of times a number is repeated. The number which is repeated maximum times in a series of data is known as the modular number. The mode is used to compare data that has extreme figures. Central tendency simply means most scores in a normally distributed set of data tend to cluster near the center of a distribution.

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Answer:

52.6?

Step-by-step explanation:

Step-by-step explanation:

\( \\ 994.14 \div 18.9\)

\( \\ = \frac{99414}{100} \div \frac{189}{10} \)

\( \\ = \frac{49707}{50} \div \frac{189}{10} \)

\( \\ = \frac{49707}{50} \times \frac{10}{189} \)

\( \\ = \frac{263}{5} \)

\( \\ = 52.6\)

Box C contains something different from the other boxes, if you could guess randomly, but if you are not sure about an answer it is best to view available hint.

You must manage the information at the Centre of it all while securely collaborating with partners and customers, delivering innovation faster than the competition. You can use Box to streamline corporate operations, boost staff output, and safeguard your most sensitive data on a single platform.

In order to improve the future, BOX-C wants to build a community of conscious consumers. People must learn how to support the businesses that share their beliefs and cast their financial votes accordingly.

Box-C Logistics, Inc. was a member of Mountain View, California's Batch 6 of 500 Startups. Box-C gives shippers and logistics service providers access to a global open shipping network that is more dependable than postal services and less expensive than express services.

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If the arrival times of Caryl's school bus are distributed on a normal curve, the standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

The standard deviation is a statistic that measures the amount of variation or dispersion from the central tendency of a set of data values. A low standard deviation indicates that the data is tightly clustered around the mean or average, while a high standard deviation indicates that the data is more spread out.

The standard deviation is particularly useful when dealing with normally distributed data, as it allows us to estimate the probability of a certain range of values occurring. In this case, Caryl can use the standard deviation to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

Hence, option c. standard deviation would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day.

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The given statement "A and B are n x n matrices. The determinant of A is the product of the diagonal entries in A" is False because the product of the diagonal entries in A for n x n matrix will not be equal to determinant of A.

The determinant of a matrix is a scalar value that can be calculated using a specific formula. The formula for finding the determinant of an n x n matrix involves finding the sum of products of the elements in certain combinations of rows and columns.

The product of the diagonal entries is only one element in the calculation of the determinant of a matrix, and it is not equal to the determinant unless the matrix has all zeros except on the diagonal.

For example, consider the following 2x2 matrices:

A = [2 3; 4 5]

B = [1 0; 0 1]

The determinant of A is (25) - (34) = -2

The product of the diagonal entries in A is 2*5 = 10, which is not equal to the determinant.

The determinant of B is (11) - (00) = 1

The product of the diagonal entries in B is 1*1 = 1, which is equal to the determinant.

Therefore, the statement "The determinant of A is the product of the diagonal entries in A" is false in general, and the determinant of a matrix is typically calculated using a more involved formula that takes into account all the elements in the matrix.

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Answer:

To solve the equation |x+3|=9, we need to split it into two separate equations, one for the positive value and one for the negative value of the absolute value:

For the positive value:

x+3=9

Solving for x, we get x=6

For the negative value:

-(x+3)=9

Multiplying both sides by -1, we get:

x+3=-9

Solving for x, we get x=-12

Therefore, the solutions to the equation |x+3|=9 are x=6 and x=-12.

Hope This Helps!

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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The function g(x) is the inverse function of the function g(x).

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The functions are given below.

\(\rm \\f(x ) = \dfrac{3^{(1/2)x + 4} - 1}{5}\)

g(x) = 2 log₃ (5x + 1) - 8

Replace 'x' with 'y' and f(x) with 'x' in first function, then we have

\(\rm x = \dfrac{3^{(1/2)x + 4} - 1}{5}\)

Simplify the function, then we have

\(\rm x = \dfrac{3^{(1/2)y + 4} - 1}{5}\\\\5x = 3^{(1/2)y + 4} - 1\\\\5x + 1 = 3^{(1/2)y + 4}\)

Take log with base 3 on both sides, then the equation is rewritten as,

(1/2)y + 4 = log₃ (5x + 1)

(1/2)y = log₃ (5x + 1) - 4

y = 2log₃ (5x + 1) - 8

Replace 'y' with g(x),

g(x) = 2log₃ (5x + 1) - 8

The function g(x) is the inverse function of the function g(x).

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Answer:

  (g∘f)(x) = x

Step-by-step explanation:

You want to show that f(x) = (3^(x/2+4) -1)/5 and g(x)=2log₃(5x+1)-8 are inverses using composition.

Functions f(x) and g(x) will be inverses of each other if and only if ...

  (f∘g)(x) ≡ x

The composition in the other order will also be true:

  (g∘f)(x) ≡ x

Here, we judge it easier to evaluate (g∘f)(x) = g(f(x)), so we'll do that.

  \((g\circ f)(x)=2\log_3(5\dfrac{3^{\frac{1}{2}x+4}-1}{5}+1)-8=2\log_3(3^{\frac{1}{2}x+4}-1}+1)-8\\\\=2\log_3(3^{\frac{1}{2}x+4})-8=2(\frac{1}{2}x+4)-8=x+8-8\\\\\boxed{(g\circ f)(x)=x}\)

__

Additional comment

The attached graph shows the functions are reflections of each other in the line y=x, as inverse functions will be. The green lines and the intersection coordinates are shown because the graph resolution is not sufficient to show the functions are mirrors of each other near the axes for negative input values.

Answer:

True- She needs $3 more. She will not have enough money to buy everything. The cost is $28.

False- She has $3 left over.

Step-by-step explanation:

2 pounds of burgers for $3 each is $6

1 bag o bun equals $2

5 bags of chips for $4 each is $20

$20 + $6 +$2 = $28

She only had $25 to spent, so she doesn't have enough money and needs to 3 more dollars.

Answer:

c

Step-by-step explanation:

edge 20220020

Answer:

D

Step-by-step explanation:

treust mememe

Step-by-step explanation:

the answer is 36000 cm2

please mark the brainliest

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68% of the population will have a height within the range of 69 inches to 75 inches. None of the provided options match this range.

In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean.

Given:

mean height = 72 inches  

standard deviation = 3 inches,

We can determine the range within which 68% of the population's heights will fall.

To calculate this range, we subtract and add one standard deviation from the mean:

Lower bound: Mean - Standard Deviation

= 72 - 3

= 69 inches

Upper bound: Mean + Standard Deviation

= 72 + 3

= 75 inches

Therefore, 68% of the population will have a height within the range of 69 inches to 75 inches.

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On solving the provided question, we can say that here in this rhombus,

angle 1 is 106 and  angle 2 and 3 are 37 each

A rhombus is an equal-sided quadrilateral in Euclidean plane geometry. The term "equilateral triangle" also refers to a quadrilateral whose sides are of the same length. A parallelogram has a unique variation known as a rhombus. In a rhombus, the opposite sides and angles are parallel and equal. A rhombus's diagonal is split in half by a right angle, and each of its sides is the same length. Rhombic diamonds and diamonds are other names for rhombuses. The length of every side is the same. Diagonals are equal in a rhombus. At a 90° angle, parallel lines split in half. 180 degrees is the sum of adjacent angles.

here in this rhombus,

angle 1 is 106

other two side are 360-106-106 = 148

148/2 = 74

so angle 2 and 3 are 37 each

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Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

Given:

At the local dairy farm, kareem buys a 32-oz container of yogurt for $2. 56. Jonah buys a 6-oz container of yogurt for $0. 48.

y varies directly as x :

y = kx

k = constant of proportionality

y = 2.56 and x = 32

y = kx

k = y/x

= 2.56/32

k = 0.08

substitute k we get

y = 0.08x.

so x and y are directly proportional.

Therefore Yes, the cost y in dollars and the amount of yogurt x are proportional the equation is y = 0.08x.

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Answer:

te podria ayudar

Step-by-step explanation:

hablas esñol

Answer:

-1/2 or -0.5

Step-by-step explanation:

there exists an integer solution to the congruence x 2 x ≡ 4 (mod 2027) when 2027 is prime.

we first note that if there is a solution to this congruence, then x must be relatively prime to 2027. This is because if x and 2027 have a common factor, then we can divide both sides of the congruence by that common factor and obtain a new congruence that is equivalent to the original one but with a smaller modulus. Since 2027 is prime, the only divisors of 2027 are 1 and 2027, so any non-zero residue modulo 2027 that is not equal to 1 or 2026 must be relatively prime to 2027.

Now, let's consider the hint given in the question: "what do you have to take the square root of?" The answer is that we need to take the square root of 4 to obtain possible values for x. Since 4 is a perfect square, it has two square roots modulo 2027, namely 2 and 2025. Thus, we have two possible values for x, namely x ≡ 2 (mod 2027) and x ≡ 2025 (mod 2027).

To see that these are indeed solutions to the congruence x 2 x ≡ 4 (mod 2027), we can simply plug them in and check. For example, if we take x ≡ 2 (mod 2027), then we have:

(2 2) 2 ≡ 4 (mod 2027)

which is true since 2 2 = 4. Similarly, if we take x ≡ 2025 (mod 2027), then we have:

(2025 2) 2025 ≡ 4 (mod 2027)

which is also true since 2025 2 ≡ 4 (mod 2027).

Therefore, we have shown that there exist integer solutions to the congruence x 2 x ≡ 4 (mod 2027) when 2027 is prime. In conclusion, the possible solutions are x ≡ 2 (mod 2027) and x ≡ 2025 (mod 2027).

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Since 2027 is a prime number, it follows from the Chinese Remainder Theorem that these two solutions are distinct . Thus, there exists an integer solution to the congruence x^2 ≡ 4 (mod 2027).

To show that there exists an integer solution to the congruence x^2 ≡ 4 (mod 2027), we need to find an integer x that satisfies this congruence.

First, note that 2027 is a prime number. Since 4 is a quadratic residue mod 2027 (i.e., there exists an integer y such that y^2 ≡ 4 (mod 2027)), we can use the fact that 2027 is prime and apply the following theorem:

If p is an odd prime and a is a quadratic residue mod p, then the congruence x^2 ≡ a (mod p) has either 2 solutions or no solutions.

Using this theorem, we know that the congruence x^2 ≡ 4 (mod 2027) has either 2 solutions or no solutions.

To find a solution, we can take the square root of both sides of the congruence:
x^2 ≡ 4 (mod 2027)
x ≡ ±2 (mod 2027)

So x ≡ 2 (mod 2027) or x ≡ -2 (mod 2027).

Since 2027 is a prime number, it follows from the Chinese Remainder Theorem that these two solutions are distinct (i.e., they are not equivalent mod 2027). Therefore, there exists an integer solution to the congruence x^2 ≡ 4 (mod 2027).

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Answer: pretty sure it’s B and C hope it helps ✨

Step-by-step explanation: ax2+bx+c=0 a[(x+b/2a)2-b2/4a2+c/a]=0 (x+b/2a)2=(b2-4ac)/4a2 x=[-b±√(b2-4ac)]/2a

Answer:

1 cm : 2m

1 cm = 2m

118m

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

18 / 9 = 2 : 1

59 x 2 = 118

Answer:

1:23

Step-by-step explanation:

20 / 460

= 1 / 23

= 1:23

Answer:

14. 6 x \(10^{17}\)

15. 28.615 x \(10^{10}\)

16. I'm so sorry, I'm not sure!

17. 1.26 x \(10^{10}\)

18. 1.639 x \(10^{-8}\)

19. 2.025 x \(10^{17}\)

Hope that helps! I'm sorry if it's wrong, and sorry about all the trouble that has been brought upon you!

-Aphrodite

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

A. f(x) = x² - 8x + 12

E. f(x) = (x - 4)² - 4

F. f(x) = (x - 2)(x - 6)

The area of the square t inscribed in square s of perimeter 40 cm is 50 sq cm.

If a square is inscribed in a square then the square is formed by joining the midpoints of the square of edges. This is the only square thus the square with the minimum possible area that can be inscribed in a square. Thus we can calculate the side of the inscribed square t as we following:

In right-angled triangle APS, right-angled at A,

By Pythagoras' theorem,

\(a^2=b^2+c^2\)

where a is the hypotenuse

b is the base

c is the height

\(PS^2=AP^2+AS^2\)

Since P is the midpoint, the length of AP and AS is 5 cm.

\(PS^2\) = 25 + 25

PS = \(5\sqrt{2}\) cm

Thus, the side of the square t is \(5\sqrt{2}\) cm

The area of square t is \(side^2\)

= \((5\sqrt{2})^2\)

= 50 sq cm.

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If you continue on this pattern, you would have biked 14.6 miles on the seventh day.

The noticeable pattern is that the increments were multiplied by 2. 0.2 × 2 = 0.4 and so on.

This question requires that we carefully watch the pattern by which the mileage increased over time.  Now we will express the increment as follows:

Day 1 = 2 mile

Day 2 = 2.2 miles (0.2 miles added from Day 1)

Day 3 = 2.6 miles  (0.4 miles added)

Day 4 = 3.4 miles (0.8 miles added)

Day 5 = 5.0 (1.6 miles added)

Day 6 = 8.2 miles (3.2 miles added)

Day 7 = 14.6 miles (6.4 miles added)

So, the mileage on the seventh day will be 14.6 miles.

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