Evaluate the expression if : a = 5, b = 3
6a – 4b

The value of k in the equation kx + 3y - 57 = 0 is 5.25.

To determine k in the equation kx + 3y - 57 = 0, you need to use the point (−8, 5) that lies on the line.

To find the value of k, substitute the coordinates of point p into the equation, then solve for k by combining like terms. So,

we have

kx + 3y - 57 = 0

Rewriting the equation as; k(-8) + 3(5) - 57 = 0

Simplifying; -8k + 15 - 57 = 0

Add the constants on the left side; -8k - 42 = 0

Solve for k by adding 42 to both sides; -8k = 42k = -42/(-8)

Therefore, k = 5.25

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Answer: 9 5/9

Step-by-step explanation:

86/9 = 9 5/9

9x9=81
86-81=5

Answer:9

Step-by-step explanation:

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

86/9= 9.5555555555556 = 9

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (9) and multiply it by the original denominator (9). The result of that multiplication is then subtracted from the original numerator:

86 - (9 x 9) = 5

Step 3: Our mixed fraction

We've now simplified 86/9 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

9

5

9

Step 4: Simplifying our fraction

In this case, our fraction (5/9) can be simplified down further. In order to do that, we need to calculate the GCF (greatest common factor) of those two numbers. You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 5 and 9 is 1.

We can now divide both the new numerator and the denominator by 1 to simplify this fraction down to its lowest terms.

5/1 = 5

9/1 = 9

When we put that together, we can see that our complete answer is:

9

5

9

i hope that helped you

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Answer:

Y=-2

Step-by-step explanation:

Hope that helps you

Answer:

y=-2

Step-by-step explanation:

first, you have to leave y alone so you have to add 2 on both sides to delete -2

y-2+2=-4+2

now -2+2=0 so that's gone and -4+2 is -2

Now you have the answer UvU

y=-2

Answer:

2x^2 +5x-3

Step-by-step explanation:

(x+3)(2x-1)

FOIL

first :(x*2x) = 2x^2

outer: x*-1 = -x

inner: 3*2x = 6x

last: -1 *3 = -3

Add together

2x^2 -x+6x-3

Combine like terms

2x^2 +5x-3

Answer:

The third option. 2x^2+5x-3.

Step-by-step explanation:

The product means to multiply them.

(x+3)(2x-1)

You don't multiply x to 2x and 3 and -1.

That is not the product and say it is 2x^2-3.

You have to multiply x to both 2x and -1.

You don't only multiply the terms that correspond with each other.

You have to do x times 2x and x times -1.

2x times x is 2x squared or 2x^2.

x times -1 is -x.

So you have 2x^2-x.

Leave that there for now.

Now, you have to multiply 3 with 2x and -1.

3 times 2x is 6x and 3 times -1 is -3.

Then you have 6x-3.

Bring back the 2x^2-x with the 6x-3.

Now you have 2x^2-x+6x-3.

You always have to simplify.

Combine like terms. -x plus 6x is 5x.

Therefore, you are left with 2x^2+5x-3.

That is the product of (x+3)(2x-1).

you can check by dividing the polynomials as well.

I hope this clarifies things!

 Linear functions are used to depict and model situations in which one variable changes at a consistent pace with respect to another variable.

Constant rates are frequently employed in the representation of proportional circumstances.

When one variable changes and the second variable varies proportionally while the ratio of the second variable to the first variable stays constant, the relationship is said to have direct variation. For instance, there is a constant, k, which is the ratio of y:x when y varies directly as x.

A straightforward link between two variables is described by direct variation. If y varies directly with x, we say:

y=kx,

for any constant k, known as the constant of variation or the constant of proportionality.

This indicates that as x grows, y increases, and as x lowers, y decreases, with the ratio remaining constant.

The direct variation equation's graph is a straight line across the origin.

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Answer:

166cm^2

Step-by-step explanation:

To calculate the area of the composite shape, find the area of rectangle and subtract the area of the triangle from it:

Area of rectangle =  16 x 11 = 176cm^2

Area of triangle = 1/2 x 4 x 5 = 10cm^2.

Since the shape is a rectangle, which the supposed shape of a triangle removed, subtract the area of triangle from that of rectangle:

176-10 = 166cm^2

Hope this helps

Good Luck

Please mark brainiest

Answer:

x= 5t - a

Step-by-step explanation:

6x + a = 5(x+t)

If you expand 5(x+t), you will get 5x + 5t

i.e. 6x + a = 5x + 5t

Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)

i.e. 6x + a - 5x = 5x + 5t - 5x

     x + a = 5t

Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)

i.e. x + a - a = 5t - a

x = 5t - a

Hope this helps!!!

Answer:

150 Square feet

Step-by-step explanation:

15 feet long

10 feet wide

Area = length x width

15 x 10 = 150

150 Square feet

Hope this helped!

Answer:

Options 2, 4, 6

Step-by-step explanation:

Answer:

they take 5 dollars and 40 cents off of it so it would be $48.60

Answer:

308 cubic feet

Step-by-step explanation:

The box on the truck has dimensions 11 ft by 7 ft by 4 ft.

The volume of the box is:

V = L * W * H

V = 11 * 7 * 4

V = 308 cubic feet

The truck can transport 308 cubic feet of gravel.

Answer:

<4

Step-by-step explanation:

To solve this problem, we first need to understand that a rhombus is a quadrilateral with all sides equal in length. Also, the diagonals of a rhombus bisect each other at right angles. Let's assume that the angle between one of the sides and a diagonal is x degrees. Then, the angle between the other diagonal and the same side is 180-x degrees. Since the difference between these two angles is given as 32 degrees, we can set up an equation:
(180-x) - x = 32
Solving this equation, we get:
2x = 148
x = 74
Therefore, the angles of the rhombus are 74 degrees and 106 degrees.

A rhombus is a special type of quadrilateral where all sides are equal in length. Also, the diagonals of a rhombus bisect each other at right angles. In this problem, we are given that the difference of the measures of 2 angles between a side and the diagonals is 32 degrees. To solve for the angles of the rhombus, we need to use the fact that the sum of the interior angles of a quadrilateral is 360 degrees. We assume that one of the angles between a side and a diagonal is x degrees, and set up an equation using the difference given in the problem. Solving this equation gives us the value of x, which allows us to find the other angle.

In a rhombus, the angles between a side and the diagonals are equal. If we are given the difference between these angles, we can use an equation to solve for the measures of these angles. In this problem, we found that the angles of the rhombus are 74 degrees and 106 degrees.

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a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

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The probability P(x < 80) for a normally distributed random variable x with a mean μ = 82 and a standard deviation σ = 5 is approximately 0.3446 when rounded to four decimal places.

Standard deviation is: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

To find the probability P(x < 80) for a normally distributed random variable x with a mean μ = 82 and a standard deviation σ = 5,

To find this probability, follow these steps:

1. Calculate the z-score for x = 80. The z-score is given by the formula: z = (x - μ) / σ
2. Look up the z-score in a standard normal distribution table (also known as a z-table) to find the corresponding probability.

Step 1: Calculate the z-score
z = (80 - 82) / 5 = -2 / 5 = -0.4

Step 2: Look up the z-score in the z-table
Looking up a z-score of -0.4 in a z-table, we find a corresponding probability of approximately 0.3446.

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The probability P(x < 80) for a normally distributed random variable x with a mean μ = 82 and a standard deviation σ = 5 is approximately 0.3446 when rounded to four decimal places.

Standard deviation is: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

To find the probability P(x < 80) for a normally distributed random variable x with a mean μ = 82 and a standard deviation σ = 5,

To find this probability, follow these steps:

1. Calculate the z-score for x = 80. The z-score is given by the formula: z = (x - μ) / σ
2. Look up the z-score in a standard normal distribution table (also known as a z-table) to find the corresponding probability.

Step 1: Calculate the z-score
z = (80 - 82) / 5 = -2 / 5 = -0.4

Step 2: Look up the z-score in the z-table
Looking up a z-score of -0.4 in a z-table, we find a corresponding probability of approximately 0.3446.

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Answer:

Step-by-step explanation:

15.5

Answer:

15.5 is your answer. can I solve. for these u say yes or no

Answer:

Using Sine Rule

w= 19.8

(a) Span (s) = {a₁v₁+a₂v₂+.........aₙvₙ} \(a_i\) ∈ field.

(b)  A basic for V is linearly independent spanning set of V.

(c) A subset of V which its self is a vector space is called subspace of V.

Let V be a vector space and S be a set of vectors on i. e.

s{V₁,V₂,V₃..........Vₙ} then,

(a) Span (S) is set of all possible linear combinations of vector in S i.e.

Span (s) = {a₁v₁+a₂v₂+.........aₙvₙ} \(a_i\) ∈ field

i. e. \(a_i\) are scalars from field on which vector space V is defined.

(b) A basic for V is linearly independent spanning set of V i.e.

Let B  be set of vectors in V. then B is a Basic of V if

(i) B is linearly independent set

(ii) Span (B) = V

(C) A subset of V which its self is a vector space is called subspace of V.

Therefore, Span (s) = {a₁v₁+a₂v₂+.........aₙvₙ} \(a_i\) ∈ field.

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Incomplete Question:

for a vector space v and a finite set of vectors s = {v1, · · · , vn} in v , copy down the definitions for

a) span(S).

b) a basis of b.

c) a subspace of V.

Answer:

I'd say the first and third options would be correct.

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

If it is a fair spinner then

First option is true

second option is true

third option cannot be determined from info given  

4th option is true

a) The relation XRy is an equivalence relation.

b) The relation XRy is not an equivalence relation.

(a) Let's first check if the relation XRy is reflexive. For any integer x, we have x - x = 3(0), which means xRx. So the relation is reflexive.

Next, we check if it's symmetric. If x - y = 3m, then y - x = -3m, which is also of the form 3n (where n = -m). So the relation is symmetric.

Finally, we check if it's transitive. If x - y = 3m and y - z = 3n, then x - z = (x - y) + (y - z) = 3m + 3n = 3(m + n). So the relation is transitive.

(b) Again, let's check if XRy is reflexive. For any integer x, we have x + x = 3(2x/3), which means xRx. So the relation is reflexive.

Next, we check if it's symmetric. If x + y = 3m, then y + x = 3m, so the relation is symmetric.

Finally, we check if it's transitive. If x + y = 3m and y + z = 3n, then x + z = (x + y) + (y + z) - 2y = 3(m + n) - 2y. This expression is not necessarily of the form 3p for some integer p, so the relation is not transitive.

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(a) XRy if x - y = 3m for some integer m:

This relation is not an equivalence relation. To be an equivalence relation, it must satisfy the following three conditions: reflexivity, symmetry, and transitivity.

Reflexivity: For any integer x, x + x = 2x, which is a multiple of 3 when x is a multiple of 3. Therefore, xRx for all integers x.

Symmetry: If xRy, then x + y = 3m for some integer m. This implies that y + x = 3m, which is also a multiple of 3. Hence, yRx.

Transitivity: If xRy and yRz, then x + y = 3m and y + z = 3n for some integers m and n. Adding these two equations gives x + y + y + z = 3(m + n), which simplifies to x + z + 2y = 3(m + n). Since 2y is a multiple of 3, x + z must also be a multiple of 3. Therefore, xRz.

Since this relation satisfies all three properties of an equivalence relation, it is indeed an equivalence relation.

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Answer:

it vertical so it an undefinded slope.

Step-by-step explanation:

hope that helps

Answer:

\(slop = \frac{y2 - y1}{x2 - x1} = \frac{y2 - y1}{0} = indefinded \: \: \: or \: \: \infty \)

The following are crucial factors in hypothesis testing:

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.

Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.

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Answer:

I think it's A and D

Step-by-step explanation:

For option A, y would be the height or total growth, and x would be time or months and total height = 0.23 feet × 7.5 months

for option D, y would be the total amount of money spent and x would be the number of granola bars bought.  total money spent = $0.23 × number of granola bars bought

Options B and C don't work because we don't know the initial values and an initial value would be represented in the equation.

In option E, 0.23 represents the total growth in 7 days, so it would be the total instead of the rate of change

Answer:

DP=9

Step-by-step explanation:

DS=4

DP=5

DP=DS+DP=4+5=9  

DP=9

system of equations means that we have a given number of equations with the same solutions.

If you only have tables, this means that you need to have one table for each equation:

For example, if you are working only with two variables, x and y, in those tables you can see the pints (x, y) that belong to each equation.

Now, a point (x, y) will be a solution of the system of equations only if it belongs to the data table for each equation

This would mean that if you graph those data sets, the graphs will intersect at the point (x, y) that belongs to all the tables of data.

another way may be using the data in the tables to construct the equations, but you said that you only want to use the tables, so this method can be discarded.

The polar coordinates for the rectangular coordinates (0, 5) are (r, θ) = (5, π/2).

To convert rectangular coordinates (x, y) to polar coordinates (r, θ), we use the formulas r = √(x² + y²) and θ = arctan(y/x). In this case, x = 0 and y = 5. We can apply the formulas as follows:

STEP 1. Calculate r: r = √(0² + 5²) = √(25) = 5
STEP 2. Calculate θ: Since x = 0, we cannot use the arctan(y/x) formula directly. Instead, we determine the angle based on the quadrant in which the point lies. The point (0, 5) lies on the positive y-axis, which corresponds to an angle of π/2 radians.

So, the polar coordinates for the rectangular coordinates (0, 5) are (r, θ) = (5, π/2).

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