What is (a+x)-8?
Please help me with this I need this done in 24 hurs

Answer:

its a

Step-by-step explanation:

Answer:

y=50x+25

The x days would multiply by 50 and adding 25 to 50x to get y.

Based on the information provided, we cannot conclusively determine how drivers react to sudden large increases in the price of gasoline. However, we can use the recorded speeds of cars passing the service station before and after the price increase to determine if there is a statistically significant difference in speeds.

A hypothesis test can be conducted to determine if there is a significant difference in means between the two groups. If the p-value is less than the significance level, we can conclude that the speeds differ and suggest that the price increase had an impact on driver behavior. However, if the p-value is greater than the significance level, we cannot conclude that there is a significant difference in speeds and suggest that other factors may have influenced driver behavior.

To determine how drivers react to sudden large increases in the price of gasoline, we can follow these steps:

1. Collect data: The statistician recorded the speeds (mph) of cars passing a large service station before and after the price of gasoline increased by 15 cents.

2. Analyze the data: Compare the recorded speeds before and after the price increase to see if there's a noticeable difference.

3. Conduct a hypothesis test: Perform a statistical test to determine if the observed differences in speeds are significant or due to chance. For example, you can use a paired t-test or another appropriate test based on the data collected.

4. Draw conclusions: If the test shows a significant difference in speeds, we can conclude that drivers' behavior changed in response to the price increase. Otherwise, we cannot confidently say that the speeds differ due to the price increase.

By following these steps, you can determine if drivers' speeds differ as a result of sudden large increases in the price of gasoline.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

a)

b) The slope-intercept definition of the linear function is given as follows:

y = 3x + 3.50.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

Two points on the linear function in this problem are given as follows:

(2, 9.50) and (5, 18.50).

The slope is given by the division of the change in y by the change in x, hence:

m = (18.50 - 9.5)/(5 - 2)

m = 9/3

m = 3.

Representing the hourly charge.

Hence:

y = 3x + b.

When x = 2, y = 9.50, hence the intercept b, representing the rental fee, is given as follows:

9.5 = 3(2) + b

b = 3.50.

Meaning that the function is defined as follows:

y = 3x + 3.5.

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a) Negation of ∼ p∧ ∼ q is (p V q). The original statement "∼ p∧ ∼ q" has a negation of "p V q" using DeMorgan's law of negation that states: The negation of a conjunction is a disjunction in which each negated conjunct is asserted.

b) Negation of (p ∧ q) → r is (p ∧ q) ∧ ∼r. The original statement "(p ∧ q) → r" has a negation of "(p ∧ q) ∧ ∼r" using DeMorgan's law of negation that states: The negation of a conditional is a conjunction of the antecedent and the negation of the consequent.

DeMorgan's law of negation is applied to get the negation of the given statements as shown below:(a) ∼ p∧ ∼ qNegation of the above statement is(p V q)DeMorgan's law of negation is used to get the negation of the statement(b) (p ∧ q) → rNegation of the above statement is(p ∧ q) ∧ ∼r DeMorgan's law of negation is used to get the negation of the statement.

The given statement (a) is ∼ p∧ ∼ q. The negation of the statement is obtained by applying DeMorgan's law of negation. The law states that the negation of a conjunction is a disjunction in which each negated conjunct is asserted. Hence, the negation of ∼ p∧ ∼ q is (p V q).

For the given statement (b) which is (p ∧ q) → r, the negation is obtained using DeMorgan's law of negation. The law states that the negation of a conditional is a conjunction of the antecedent and the negation of the consequent. Hence, the negation of (p ∧ q) → r is (p ∧ q) ∧ ∼r.

DeMorgan's law of negation is a fundamental tool in logic that is used to obtain the negation of a given statement. The law is applied to negate a conjunction, disjunction, or conditional statement. To obtain the negation of a statement, the law is applied as many times as required until the desired negation is obtained.

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Answer:

Yes

Step-by-step explanation:

Plugging in the values in the equation, we have

1=3*(2)-5, 1=1 which is TRUE

The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.

One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:

Price (in dollars) Quantity (in ears of corn)

             2             5

             4             10

This table shows the corresponding values of the price and quantity.

As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.

The relationship is proportional because as the price doubles, the quantity also doubles.

Another representation of this proportional relationship is through a graph.

We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.

By connecting these two points with a straight line, we can visualize the proportional relationship.

The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.

The slope of the line will indicate the rate of change between price and quantity.

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Answer:

71.6 degrees

Step-by-step explanation:

Given the vectors

u= <8,4> v = <9.-9> (5 points)

u*v = (8, 4)*(9, -9)

u*v = 8(9)+(4)(-9)

u*v = 72 - 36

u*v = 36

|u| = √8²+4²

|u| = √64+16

|u| = √80

|v| = √9²+9²

|v|  = √81+81

|v|  = √162

Using the formula

u*v = ||u||v| cos theta

36 = √80(√162)cos theta

36 = √12960 cos theta

cos theta = 36/√12960

cos theta = 36/113.8

cos theta = 0.3162

theta = arccos(0.3162)

theta = 71.56 degrees

Hence the angle between the given vectors to the nearest tenth of a

degree is 71.6 degrees

Answer: Hi!

We already know that we can subtract a dollar from the total, because the bat is a dollar more than the ball. However, there's one more step! We have to divide the cost left, 10 cents, by 2 as well, because the bat is a dollar more than the ball, and if we said that the answer was a dollar, we would be wrong, because there would be 10 cents left as the cost of the ball - and if the bat was a dollar more than the ball, then the bat would be $1.10 and the total cost would be $1.20. 10 divided by 2 is 5, so the ball is 5 cents and the bat is $1.05.

Hope this helps!

5 cents

as the ball costs 5 cents the bat costs $1.05

The divergence and the curl of the function F  [(5x)/(7x² + 7y²), (5y)/(7x² + 7y²), 0] are found to be 0 and  245(x-y)k respectively.

The function that is given to us is, F = [(5x)/(7x² + 7y²), (5y)/(7x² + 7y²), 0]

The components of the field are, F₁ = (5x)/(7x² + 7y²), F₂ = (5y)/(7x² + 7y²) and F₃ = 0.

Now, for the div(F), partially differentiating F₁ with respect to x,  F₂ with respect to y and F₃ with respect to z.

We get,

∂F₁/∂x = 5(x²-y²)/7(x²+y²)²

∂F₂/∂y = -5(x²-y²)/7(x²+y²)²

∂F₃/∂z = 0

Partially differentiating with respect to a variable means that we differentiate the function F by assuming all the other variables as constant.

Now, for div(F), adding, ∂F₁/∂x, ∂F₂/∂y and ∂F₃/∂z. We get,

div(F) = 0.

Now, for curl(F), we do the cross product of the field with the the del operator. The operator is (i∂/∂x+j∂/∂y+k∂/∂z)

Curl(F) = ∇ x F

∇ x F = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k

{∵ ∂F₃/∂y = 0, ∂F₂/∂z = 0, ∂F₁/∂z = 0, ∂F₃/∂x = 0}

∇ x F = (0-0)i + (0-0)j + (245x-245y)k

∇ x F = 245(x-y)k

So, we have curl(F) equal to 245(x-y)k.

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Answer: 12

Step-by-step explanation: 21-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1=12

Answer:

i think it's 42

Step-by-step explanation:

60% of 80 is about 48. 70% of 60 is 42. The number of his classmates who like hip-hop is greater than the number of his relatives who like hip-hop.

Answer:

The square of this expression is written as ( a − b ) 2 in mathematical form and it is expanded as a 2 − 2 a b + b 2 mathematically. In mathematics, this algebraic identity is used as a formula and it is called in the following three ways. The square of difference of the terms formula.

Step-by-step explanation:

Using the slope and y-intercept, the linear function that model this problem is c = 10d + 12

A linear function is a mathematical function that graphs as a straight line. It is a polynomial of degree one and can be written in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

In this problem, we can represent or model the given problem with a set or system of linear equation.

let;

Using y = mx + c and modeling it to suit our given parameter;

m = slope and c = y - intercept

We can take two the two given point and solve for the slope and y - intercept.

m = c₂ - c₁ / d₂ - d₁

m = 122 - 82 / 11 - 7

m = 10

Taking the slope and one point, we can solve for the y - intercept

y = mx + c

82 = 10(7) + c

82 = 70 + c

c = 82 - 70

c = 12

The equation can be written as c = 10d + 12

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a) The series is divergent. The terms in the series do not approach 0, and thus, the series does not converge. b) The series is convergent. To find its sum, we can rewrite the series as follows:

Σ[(3^k/2^3k) - (5*2^k/2^3k)] from k=1 to infinity

This is the sum of two geometric series. The first one has a common ratio of (1/8) and the second one has a common ratio of (1/4). Since both ratios have an absolute value less than 1, the series converges. To find the sum of each geometric series, we use the formula:

S = a / (1 - r)

For the first series, S1 = (1/8) / (1 - 1/8) = (1/8) / (7/8) = 1/7
For the second series, S2 = (5/4) / (1 - 1/4) = (5/4) / (3/4) = 5/3

Thus, the sum of the whole series is S = S1 - S2 = 1/7 - 5/3 = -11/21.

c) The series is convergent. This is a telescoping series, meaning that some terms will cancel out with other terms, leaving a finite sum. We can rewrite the series as follows:

Σ[ln((n+1)/(n+3)) - ln(n/(n+2))] from n=1 to infinity

As we sum the series, we see that many terms cancel out, leaving us with:

-ln(1/3) + ln(2) = ln(2/3)

So, the sum of the series is ln(2/3).

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A 95% confidence interval for μ is (15.5, 18.3). If we were to take many different samples from the same population and calculate a confidence interval for each sample, approximately 95% of those intervals would contain the true population mean.

We first need to understand the concept of a confidence interval. A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. In this case, we are trying to construct a confidence interval for the population mean μ, with a confidence level of 0.95 (or 95%).

To construct the confidence interval, we use the formula:

CI = x ± z*(σ/√n)

where x is the sample mean, σ is the population standard deviation, n is the sample size, and z is the z-score associated with the desired confidence level (0.95 in this case).

Plugging in the given values, we get:

CI = 16.9 ± 1.96*(9/√85)

Simplifying, we get:

CI = (15.5, 18.3)

This means that we can be 95% confident that the true population mean μ falls within the range of 15.5 to 18.3.

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Answer:

15

Step-by-step explanation:

To find the common denominators for 2/3 and 1/5, just look at the denominators for both of the fractions, 3 and 5

Multiply 3 and 5, which is 15. 15 is the common denominator.

If you are filling traffic cones with sand to keep them from blowing over and the cone has a radius of 7 inches and a height of 28 inches, then 1436 cubic inches of sand can fit inside the cone.

The volume of the cone can be described as the measure of a 3-D space occupied by matter.

The volume of sand in cubic inches that can fit inside the traffic cone can be calculated by the formula,

v = πr²h / 3

As the radius of the cone = 7 inches

Height of the cone = 28 inches

v = π(7)²28 / 3

v = (π)(49)(28) / 3

v = (π)(1372) / 3

As π = 3.14

v = (3.14)(1372) / 3

v = 4308.08 / 3

v = 1436.02 ≈ 1436 cubic inches

Hence, 1436 cubic inches of sand is calculated to fit inside the cone.

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Answer:

45 2/3, or 45.666666..., rounded to the nearest tenth is 45.7.

Answer:

the answer to your question is 24

Step-by-step explanation:

hope this helps

B. Square

There are numerous different types of squares in the world. A parallelogram with four congruent sides and four right angles is called a quadrilateral. There are two sets of parallel sides and four right angles in a square, so it is also a rectangle. Because the sides of a square are parallel, it is also a parallelogram.

D. I and IV

\(The\ statement\ is\ always\ true\ is\\ I\ All\ square\ is\ a\ rectanjile\ and\ IV\ Any\ two\ opposite\\ -sides\ of\ a\ perallelogran\ are\ parallel\)

\(So\ Chase\ D\)

{\({A\ souare\ is\ a\ special\ rectangle\)

B. 500 cm²

Calculate area of the rectangle:

\(\curvearrowleft\\ area=500\)

I hope this helps you

:)

Elysa would have to save money for 6 weeks to afford the glove

46.50-15= 31.5/5.25= 6

-1/7, since parallel lines have equal slopes.

Answer:

6%

Step-by-step explanation:

The average rate is approximately 2%

The formula for calculating the average rate of return under continuous compounding is expressed as \(A=Pe^{rt\)

Given the following parameters

\(P = \$50,000\)

A = $175,222.57

t = 20 years

Substitute the given parameters into the formula to get the rat\(175,222.57 = 5000e^{20r}\\e^{20r}=\frac{175,222.57.}{5000}\\e^{20r}= 35.155514\\lne^{2r}=ln 35.155514\\2r = 3.5597\\r = 3.5597/2\\r =1.779 \%\)

Hence the average rate is approximately 2%

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Answer:

y > - 1/3 x + 1

Step-by-step explanation:

?

The value of the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates is h (e²a - 1) π.

To evaluate the integral ∫∫∫ e²(x² + y²) dV in cylindrical coordinates, to express the integral in terms of cylindrical coordinates and determine the appropriate limits of integration.

In cylindrical coordinates, the variables are represented as (ρ, θ, z), where ρ is the radial distance, θ is the angle in the xy-plane, and z is the vertical coordinate.

The region e can be described as the volume inside the cylinder x² + y² ≤ a², where a is the radius of the cylinder.

In cylindrical coordinates, the equation of the cylinder x² + y²= a² becomes ρ² = a².

Therefore, the limits of integration for ρ are 0 to a, the limits for θ are 0 to 2π (covering a complete revolution), and the limits for z depend on the height of the cylinder.

If the height of the cylinder is h, then the limits for z would be -h/2 to h/2.

express the integral in cylindrical coordinates:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) ∫(-h/2 to h/2) e²(ρ²) ρ dz dρ dθ the integrand e²(ρ²)  depend on the angle θ,  factored out of the θ integration.

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ ∫(-h/2 to h/2) dz dρ dθ

The innermost integration with respect to z simply evaluates to h:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²(ρ²) ρ h dρ dθ

The integration with respect to ρ can be done by substitution. Let u = ρ², then du = 2ρ dρ:

∫∫∫ e²(x² + y²) dV = ∫(0 to 2π) ∫(0 to a) e²u/2 h (1/2) du dθ

= (h/2) ∫(0 to 2π) ∫(0 to a) e²u du dθ

= (h/2) ∫(0 to 2π) [e²u] (0 to a) dθ

= (h/2) ∫(0 to 2π) (e²a - 1) dθ

= (h/2) (e²a - 1) ∫(0 to 2π) dθ

= (h/2) (e²a - 1) [θ] (0 to 2π)

= h (e²a - 1) π

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Answer:

120 = 1 x 120, 2 x 60, 3 x 40, 4 x 30, 5 x 24, 6 x 20, 8 x 15, or 10 x 12. Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. Prime factorization: 120 = 2 x 2 x 2 x 3 x 5, which can also be written 120 = 2³ x 3 x 5.

Step-by-step explanation:

A. To transform triangle XYZ to AX'Y'Z', following sequence of transformations is applied: Translation, Rotation, Dilation.

Transformations of a triangle are changes made to the position, size, or orientation of the triangle in a coordinate plane.

There are four types of transformations that can be applied to a triangle.

A. To transform triangle XYZ to AX'Y'Z', the following sequence of transformations can be applied:

Translation: Translate triangle XYZ so that point X coincides with point X'. This can be done by moving the entire triangle 6 units to the left and 8 units up.

Rotation: Rotate the translated triangle around point X' by an angle of 135 degrees in the counterclockwise direction. This can be done by applying a rotation matrix:

[ cos(135)  -sin(135)   0 ]   [ x ]

[ sin(135)   cos(135)   0 ] * [ y ]

[    0          0       1 ]   [ 1 ]

Dilation: Dilate the rotated triangle with center X' by a scale factor of 1/2. This can be done by multiplying the coordinates of each point by 1/2 with respect to point X'.

B. No, a dilation alone is not enough to show similarity of two figures. Similarity of two figures requires that the figures have the same shape but not necessarily the same size. In addition to dilation, the figures could be subject to other transformations such as translation, rotation, and reflection. Therefore, to show similarity between two figures, it is necessary to demonstrate that the corresponding angles of the figures are congruent and that the corresponding sides are proportional.

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