The price of gas was $2.49 last month. This month, gas costs $2.79. What is
the percent increase?

Step-by-step explanation:

it is 5/6 ..............

Answer:

p < -32

Step-by-step explanation:

Given: p/-8 + 9 > 13

Rewrite: \(\frac{p}{-8}\) + 9 > 13

Subtract 9 from both sides: \(\frac{p}{-8}\)  > 4

Move the negative (it is a fraction): \(\frac{-p}{8}\) > 4

Multiply both sides by 8: -p > 32

Times by -1 (-p -> -1p): p > -32

Flip the sign (multiplied by a negative): p < -32

Hope this helps, have a nice day :D

Answer:

You can make 1200000000000 burgers with a billion cows

Step-by-step explanation:

1200X1000000000=1200000000000

Answer:

all positive real numbers and 0

Step-by-step explanation:

The function has a square root in the x value, so this function can't have negative values, because a negative value of x would give a complex number for f(x), and positive values of x gives positive values of f(x).

The function f(x) can be zero, if the value of x is zero:

\(f(0) = \sqrt{0} /2 = 0/2 = 0\)

So the function f(x) can only have positive values and the value 0.

Correct option: "all positive real numbers and 0"

x=-1, y =2 S { -1,2}

1) Solving that linear system

x + 2y = 3 x -5 To eliminate x

5× +5y = 5​

-5x -10y = -15

5x +5y = 5​

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

-5y = -10

y =2

1.2 Plugging into the I equation:

x +2(2)= 3

x +4=3

x=-1

To dilate a point S by a scale factor of 1/2, we need to multiply the coordinates of the point by the scale factor.So the dilated point S' will have coordinates (2, 3).

A scale factor is a number that scales or multiplies another quantity by a certain amount, either making it larger or smaller. In geometry, scale factor is used to describe the ratio of the corresponding side lengths of two similar figures.

If the coordinates of point S are (x,y), then the coordinates of the dilated point S' will be:

(x', y') = (1/2 * x, 1/2 * y)

In other words, the x-coordinate of the dilated point is half of the x-coordinate of the original point, and the y-coordinate of the dilated point is half of the y-coordinate of the original point.

For example, if point S has coordinates (4, 6), then the coordinates of the dilated point S' will be:

(x', y') = (1/2 * 4, 1/2 * 6) = (2, 3)

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9514 1404 393

Answer:

  3

Step-by-step explanation:

Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).

The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.

This is the alternative hypothesis. It is expressed as

H0 : μ < 250

A restaurant advertises that its burritos weigh 250 g. A consumer advocacy group doubts this claim, and they obtain a random sample of these burritos to test if the mean weight is significantly lower than 250 g. Let u be the mean weight of the burritos at this restaurant and ĉ be the mean weight of the burritos in the sample. Which of the following is an appropriate set of hypotheses for their significance test? Choose 1 answer:

A) H0 : x = 250 , Ha : x < 250

B) H0 : x = 250 , Ha : x > 250

C) H0 : μ = 250 , Ha: μ < 250

C) H0 : μ = 250 , Ha: μ > 250

Solution:

The null hypothesis is the hypothesis that is assumed to be true. The restaurant advertises that its burritos weigh 250. This is the null hypothesis. 250 is the population mean,μ . Thus, the null hypothesis is

H0 : μ = 250

The alternative hypothesis is what the researcher expects or predicts. The consumer advocacy group tests if the mean weight is significantly lower than 250g.

This is the alternative hypothesis. It is expressed as

H0 : μ < 250

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Answer: Yes, 59 is a prime number

Step-by-step explanation: 59 is a prime number, it has only two factors, such as one and the number itself. Hence, the factors of 59 are 1 and 59.

Yes, 59 is a prime number.

What is a prime number?

Any natural number greater than 1 that is not the sum of two smaller natural numbers is referred to as a prime number. A composite number is a natural number greater than one that is not prime.

In other terms, prime numbers are positive integers greater than one that only has the number itself and 1 as factors. 2, 3, 5, 7, 11, 13, and other prime numbers are just a few examples. Never forget that 1 is neither a prime number nor a composite. Apart from 1, the other numbers can all be categorised as prime and composite numbers. Except for 2, which is the smallest prime number and the only even prime number, all prime numbers are odd.

The number in question, which is 59,  has only two factors: 1 and 59.

Therefore 59 is a prime number.

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Answer:

Brooke runs the fastest.

Step-by-step explanation:

Brooke runs 13 feet per second.

Therefore, speed of Broke = 13 feet per sec.

Will runs 308 feet in 26 seconds.

Speed of Will = \(\frac{\text{Distance}}{\text{Time taken}}\)

                       = \(\frac{308}{26}\)

                       = 11.85 feet per second

Ron runs 1 mile in 551 seconds.

1 mile = 5280 feet

Speed of Ron = \(\frac{5280}{551}\)

                       = 9.58 feet per second

Debbie runs 658 feet in 1 minute.

1 minute = 60 seconds

Speed of Debbie = \(\frac{658}{60}\)

                             = 10.97 feet per seconds

Here, speed of Brooke is the maximum.

Therefore, Brooke runs the fastest.

Answer:

C. -5

Step-by-step explanation:

20 x 3 = 60

5 x 1 = 5

60 - 5 = 55

The time it will land if the a toy rocket off a platform that is 9 feet high and it travels at a velocity of 95 mph is 100.95seconds

Quadratic equation is an equation that has a leading degree of 2

Given the function that represents the height of a projectile expressed as:

h(t) = -16t^2 + vt + h

If v = 95mph and h = 9feet, hence the equation will become;

h(t) = -16t^2 + 95t + 9

The rocket will land on the ground at the point where h(t) = 0. ubstitute to have:

-16t^2 + 95t + 9 = 0

16t^2 - 95t - 9 =0

Factorize

On factorizing, the time it will land if the a toy rocket off a platform that is 9 feet high and it travels at a velocity of 95 mph is 100.95seconds

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Answer:

\({:}\longrightarrow\)\(\sf 3x+y=-7 \)

\({:}\longrightarrow\)\(\sf y=-7-3x \)

\(\boxed{\begin{array}{|c|c|c|c|} x & 1 & (-1) & 0 \\ y & -10 & (-4) & -7 \end{array}}\)

Hence the intercepts are

\(\therefore\)\(\sf A (1,-10),B(-1,-4),C(0,-7)\)

The equation of the circle is (x + 9)² + (y + 8)² = 36 with a center (-9, -8) and a point (-9, -2).

The standard form of the equation of a circle:

(x - h)² + (y - k)² = r²

Here (h, k) is the center of the circle and r is the radius.

Given that the center of the circle is (-9, -8), so h = -9 and k = -8.

The distance between the center and the point on the circle:

r  = √[(-9 - (-9))² + (-2 - (-8))²]

r  = √[0² + 6²]

r  = 6

So, the equation of the circle is:

(x - (-9))² + (y - (-8))² = 6²

(x + 9)² + (y + 8)² = 36

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The complete question is follows as:

Center: (−9, −8)

Point on Circle: (−9, −2)

Find the equation of the circle.

Answer:

4 : 2 = 10 : 5.

Step-by-step explanation:

Let's put this in a fraction way. 4/2 = 2, and 10/5 = 2. Likewise, we can keep going and putting things that equal to 2. (e.g. 42 : 21)

5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).

5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.

In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

\(P(t) = I(1 + r)^t\\\\\)

Where:

Part a.

By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;

\(P(t) = I(1 + r)^t\\\\\)

4418= 515(1 + r)⁵

(1 + r)⁵ = 4418/515

(1 + r)⁵ = 8.5786407766990

1 + r = 1.54

Therefore, the required exponential function to show p is given by;

\(P(t) = 515(1.54)^t\\\\\)

Part b.

When t = 6 years, the number of parrots can be calculated as follows;

\(P(6) = 515(1.54)^6\)

P(6) = 6,869.60 ≈ 6,870 parrots.

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Answer:

Its B: -18

Step-by-step explanation:

- - makes a +

-57+37=-18

Answer: it’s B

hope this helps

(17) The value of x would be 20 degrees.

(18) The value of x would be 21.25 degrees.

(20) The value of x would be 6 degrees.

What is the sum of the angles of a triangle?

The sum of the angles of a triangle is 180 degrees. This is a fundamental property of triangles and is known as the triangle sum theorem.

(17)

By using the property of the sum of angles of a triangle, we get

(x+6) + (3x+9) + (4x+5) = 180

Simplifying the left side of the equation gives:

8x + 20 = 180

Subtracting 20 from both sides of the equation gives:

8x = 160

Dividing both sides of the equation by 8 gives:

x = 20°

(18) In a right triangle, one angle is a right angle, which measures 90 degrees. If we know the measures of the other two angles in the triangle, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to find the value of x.

(2x-4) + (6x+14) + 90 = 180

Simplifying the left side of the equation gives:

8x + 10 = 180

Subtracting 10 from both sides of the equation gives:

8x = 170

Dividing both sides of the equation by 8 gives:

x = 21.25

(20) To find the value of x, we can use the fact that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. We can write an equation using this fact and the measures of the three angles given in the problem:

(2x+13) + (15x+19) = (7x+92)

Simplifying the left side of the equation gives:

17x + 32 = 7x + 92

Subtracting 7x from both sides of the equation gives:

10x + 32 = 92

Subtracting 32 from both sides of the equation gives:

10x = 60

Dividing both sides of the equation by 10 gives:

x = 6

Hence,

(17) The value of x would be 20 degrees.

(18) The value of x would be 21.25 degrees.

(20) The value of x would be 6 degrees.

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Let's take the subspace (X,T) of (Y,T*), where (Y,T*) is a subspace of (Z,T**). Here, we are required to show that (X,T) is also a subspace of (Z,T**). Let's start our proof.

To show that (X,T) is a subspace of (Z,T**), we must show that (X,T) satisfies the subspace axioms. The subspace axioms that must be satisfied are:

1. The zero vector, 0, is in (X,T).

2. If u and v are in (X,T), then u + v is also in (X,T).

3. If u is in (X,T) and a is a scalar, then au is also in (X,T).

So, let's prove each axiom for (X,T) to be a subspace of (Z,T**):

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Answer:

y= -3/4 x + 8

Step-by-step explanation:

y-2 = -3/4 (x-8)

y-2 = -3/4 x + 6

y = -3/4 x + 6 + 2

y = -3/4 x + 8

Answer:

Step-by-step explanation:

13 + h = 21 for h = 9

1. Substitute 9 for the variable h.

Correct, because the question already giving the value that h = 9.

2. Substitute 21 for the variable h.

False, because in the question it states that h is 9, not 21.

3. Simplify by adding 13 and 21.

False, because they are in different sides.

4. Simplify by adding 13 and 9.

True, the question giving that h is 9. In the left sides, it's 13 + h, by adding 13 and 9, we will get the answer for the left side.

5. 21 = 21, so 9 is a solution to the equation.

False, because in the left side is 13 + h = 13 + 9 = 22.

6. 22 Not-equals 21, so 9 is not a solution to the equation.

True, see the explanation in 5.

Answer:

Substitute 9 for the variable h.

Simplify by adding 13 and 9.

22 Not-equals 21, so 9 is not a solution to the equation.

Step-by-step explanation:

the guy above me ∧ is correct!

Answer:

3(6x + 1)

Step-by-step explanation:

3(6x + 1) =

18x + 3

Answer:

36.166

Step-by-step explanation:

Answer:

The correct option is;

LeftAngleBracket negative 16, 14 RightAngleBracket which is \(\left \langle -16, 14 \right \rangle\)

Step-by-step explanation:

The given coordinates of the points are;

The starting point, Q(23, 48) and the final point, R(7, 62)

Therefore, we have;

The x component = The x-value of R - The x-value of R = 7 - 23 = -16

The y component = The y-value of R - The y-value of R = 62 - 48 = 14

Therefore, the component form of the vector QR = \(\left \langle -16, 14 \right \rangle\)

Answer:

B on Edg.

Step-by-step explanation:

Yay

Answer: 9

Step-by-step explanation:

Answer:To find the average rate of change for the interval from x = 5 to x = 6, we need to calculate the change in the function values over that interval and divide it by the change in x.

Given the points (5, 0) and (6, 4), we can calculate the change in the function values:

Change in y = 4 - 0 = 4

Change in x = 6 - 5 = 1

Average rate of change = Change in y / Change in x = 4 / 1 = 4

Therefore, the correct answer is 4. None of the given options (A, B, C, or D) match the correct answer.

Step-by-step explanation:

Using an arithmetic progression if Model 1 is used, the total amount donated to charity after 40 days is RM 80,000, and if Model 2 is used, the total amount donated is RM 35,092.99

Given an arithmetic progression with the first term a and the common difference d, we can use the following information:

The sum of the third term and the sixth term is equal to the tenth term:

a + 2d + a + 5d = a + 9d

3a + 7d = 10a

7d = 7a

d = a

Now we know that the common difference (d) is equal to the first term (a).

The sum of the first 12 terms is -180:

\(S_{12\) = 12/2 * (2a + (12 - 1) * d) = -180

6(2a + 11d) = -180

12a + 66d = -180

12a + 66a = -180

78a = -180

a = -180 / 78

a = -2.31 (rounded to two decimal places)

Now, we can find the sum of the first 10 terms using the formula for the sum of an arithmetic progression:

\(S_{10\) = 10/2 * (2a + (10 - 1) * d)

= 5 * (2(-2.31) + 9(-2.31))

= 5 * (-4.62 - 20.79)

= 5 * (-25.41)

= -127.05

Therefore, the sum of the first 10 terms is approximately -127.05.

For the second part of the question:

(i) Model 1: Increase the prize money by RM1000 each day.

The amount donated to charity each day is 5% of the prize money.

After 40 days, the prize money has not been won, so the total amount donated is:

Total amount donated = 40 * 0.05 * (1000 + 1000 + ... + 1000) = 40 * 0.05 * (40 * 1000) = RM 80,000

(ii) Model 2: Increase the prize money by 10% each day.

The amount donated to charity each day is 5% of the prize money.

After 40 days, the prize money has not been won, so the total amount donated is:

Total amount donated = 40 * 0.05 * (1000 + 1100 + 1210 + ... + 1000 * \((1.1)^{39})\)

To calculate this sum, we can use the formula for the sum of a geometric progression:

Total amount donated = \(40 * 0.05 * (1000 * ((1.1^{40}) - 1) / (1.1 - 1))\)= RM 35,092.99 (rounded to two decimal places)

Therefore, if Model 1 is used, the total amount donated to charity after 40 days is RM 80,000, and if Model 2 is used, the total amount donated is RM 35,092.99.

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The standardized regression weight "b'" of 0.35 shows the largest positive value among the options given.

In regression analysis, standardized regression weights (also known as beta coefficients or standardized coefficients) represent the magnitude and direction of the relationship between a predictor variable and the outcome variable, while taking into account the scales and variances of the variables involved.

Among the options provided, the standardized regression weight of 0.35 is the largest positive value. This indicates that for a one-unit increase in the corresponding predictor variable, the outcome variable is expected to increase by 0.35 standard deviations.

The other options, b* = -0.30, b = -0.38, and b' = 0.15, either have negative values or smaller positive values compared to 0.35. Negative values indicate a negative relationship between the predictor variable and the outcome variable, while smaller positive values indicate weaker or smaller relationships.

Therefore, the largest positive standardized regression weight among the options given is b' = 0.35, suggesting a relatively stronger positive relationship between the predictor variable and the outcome variable.

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Answer:

volume is 320

area of base is 96

Step-by-step explanation:

tell me in the comment if u need an explanation