m + 1 = 8

But what’s the m=__

Answer:

A

Step-by-step explanation:

You can use the formula change in y divided by change in x, so for this the change in y would be 2 and the change in x would be 4. This means the slope is 1/2.

In a line, the slope never changes so it's A.

Answer:

first one is proportional, second is not. (not sure how to answer the number thing lol)

Step-by-step explanation:

Since, it is observed that z = -2.74 < \(Z_{\alpha} = -2.33\), it is then concluded that the null hypothesis is rejected.

What is a left-tailed test?

When the alternative hypothesis asserts that the true value of the parameter indicated in the null hypothesis is lower than the null hypothesis indicates, a left-tailed test is utilized.

This is a left-tailed test.

Test statistics

\(z = (\hat p - p_{0} ) / \sqrt{} p_{0}*(1-p_{0}) / n\)

=  \(\sqrt{} (0.4*0.6) / 45\)\(= ( 0.2 - 0.4) \div \sqrt{} (0.4*0.6) / 45\)

= -2.74

The critical value of the significance level is α = 0.01, and the critical value for a left-tailed test is:

\(Z_{\alpha} = -2.33\)

Hence, it is observed that z = -2.74 < \(Z_{\alpha} = -2.33\), it is then concluded that the null hypothesis is rejected.

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Answer:

f(-12) = -13

Step-by-step explanation:

f(x) = x - 1

Let x = -12

f(-12) = -12-1

       = -13

Answer:

\(f(x) = x - 1 \\ f( - 12) = - 12 - 1 \\ \boxed{ f( - 12) = - 13}\)

Answer:

D)    < 3, 7)>

Step-by-step explanation:

Explanation:-

Given that the vector < 3 , -7 >

Given the vector reflection across the x-axis

                   (x,y) → (x , -y)

The vector < 3,-7> →< 3, -(-7)>

                  < 3,-7> →< 3, 7)>

D. The set W would be a subspace of set of real numbers R cubed.

For a set to be considered a vector space, it must satisfy the following conditions:

1. It contains the zero vector (the additive identity).

2. It is closed under vector addition.

3. It is closed under scalar multiplication.

Since the set W is a subset of R cubed, it inherits the properties of R cubed, including the zero vector. Therefore, option C is not true.

Options A and B are not necessarily true for all subsets of R cubed. They may hold for some specific subsets, but they are not general properties that apply to all subsets.

Option D is the correct answer because it states that the set W would be a subspace of R cubed. A subspace is a subset of a vector space that is itself a vector space, satisfying all the properties of a vector space. Since W is a subset of R cubed, it would be a subspace if it satisfies the three conditions mentioned above.

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Answer:

if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree

Step-by-step explanation:

for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree

Answer:

\(x=13\text{ and } y=5\)

Step-by-step explanation:

First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:

\(m\angle BCD + m\angle DCE = 180\)

And since we know that ∠BCD measures 130°:

\(m\angle DCE = 180-130=50^\circ\)

And since ∠DCE and ∠BCA are vertical angles:

\(\displaystyle \angle DCE \cong \angle BCA\)

Therefore, by definition:

\(m\angle DCE = m\angle BCA = 50^\circ\)

Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:

\(m\angle A = m\angle B\)

The interior angles of a triangle must total 180°. So:

\(m\angle A + m\angle B +m\angle BCA = 180\)

Substitute in known values:

\(m\angle A + m\angle A+ (50)=180\)

Simplify:

\(2m\angle A=130\)

Divide both sides by two:

\(m\angle A = 65\)

Substitute:

\((5x)=65\)

Therefore:

\(x=13\)

Similarly, for the triangle on the right, we can write that:

\(m\angle D + m\angle E + m\angle DCE = 180\)

Substitute:

\((10y+5)+(6x-3)+(50)=180\)

Combine like terms:

\(10y+6x+52=180\)

Since we determined that x = 13:

\(10y+6(13)+52=180\)

Simplify:

\(10y+130=180\)

Therefore:

\(10y=50\)

And by dividing both sides by 10:

\(y=5\)

Answer:

A. The point represents the turning point of the graph

B. The cost of making 4,000 bicycles is $265,000

The slope of the cost function, F(x) = 1.25 + 0.35·x, is less than the average slope of the graph of the total profit for sales

C. The company should plan on making fewer than 4,000 bicycles, to maximize profit

Step-by-step explanation:

A. The point represents the turning point after which increase in the x-coordinate values leads to a decrease in the y-coordinate values

B. The cost function is presented as follows;

F(x) = 1.25 + 0.35·x

Where;

F(x) = The cost in hundreds of thousands of dollars of making 'x' (in thousands) bicycles

x = The number of bicycles made in thousands

The cost of making 4,000 bicycles is given by plugging in x = 4(thousand) in  F(x) = 1.25 + 0.35·x, as follows;

F(x) = 1.25 + 0.35·x

∴ F(4) = 1.25 + 0.35 × 4 = 2.65

Therefore, the cost of making 4,000 bicycles = 2.65 × $100,000 = $265,000

The slope of the cost function, F(x) = 1.25 + 0.35·x, is given by the coefficient of 'x' which is 0.35

The average slope of the graph of the profit function is ((3.5 - 0)/(4 - 0)) = 0.875

The slope of the cost function is less than the average slope of the graph of the profit function taken from the origin to the maximum point of the graph

C. When the company produces 5,500 bicycles, x = 5.5, we have;

F(5.5) = 1.25 + 0.35 × 5.5 = 3.175

The cost is 3.75 × $100,000 = $375,000 and the profit from te graph is $300,000

Therefore, the cost of making the 5,500 bicycles is more than the profit made in sales

The company should plan on making fewer than 4,000 bicycles, to reduce cost of producing more bicycles and to increase profit per unit of bicycle sold

Answer:

C.

Step-by-step explanation:

-1/4(12x+8)<=-2x+11

Distribute:

-3x-2<=-2x+11

Add 2x on both sides:

-1x-2<=0+11

Additive identity property applied:

-1x-2<=11

Add 2 on both sides:

-1x+0<=13

Additive identity property applied:

-1x<=13

Divide both sides by -1:

x>=-13 (dividing or multiplying both sides of an inequality by a negative means we must flip inequality sign)

Answer x>=-13

So the solution set includes any number greater than or equal to -13. That means we have everything to right of -13 including -13.

oof oof oof oof oof oof

Given: a=3, b=-4

Find:

Explanation:

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

The length of the curve described by the function is approximately 21.14 units.

The length of the curve described by the function y = f (x) can be found using the formula below:$$\int_{a}^{b} \sqrt{1+\left[\frac{d y}{d x}\right]^{2}} d x$$

Where, a and b are the limits of the function.The function is y = 3x² + 4, which is a quadratic function.

Therefore, the derivative of y can be obtained as follows:$$\frac{d y}{d x} = 6x$$

Substitute the derivative of y into the formula to obtain:$$\int_{a}^{b} \sqrt{1+(6 x)^{2}} d x$$Integrating,

we have:$$\int_{a}^{b} \sqrt{1+36 x^{2}} d x$$Let u = 1 + 36x², then du/dx = 72x

which implies dx = 1/72 du/u^(1/2).

Hence, the integral is transformed to:

$$\frac{1}{72} \int_{1}^{37} u^{1 / 2} d u$$

Therefore, the integral is equal to:

$$\frac{1}{72}\left[\frac{2}{3} u^{3 / 2}\right]_{1}^{37}

= \frac{1}{72}\left[\frac{2}{3}\left(37^{3 / 2}-1\right)\right] \approx \boxed{21.14}$$T

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Answer:

1.5 yrs

Step-by-step explanation:

let the present age=x

x+5=2+3x

3x-x=5-2

2x=3

x=3/2=1.5 years

Answer:

3x + 2 = x + 5.

Step-by-step explanation:

Peter is currently x years old. In 5 years, his age will be x + 5. According to the prompt, Peter's age will be 2 + 3 times his current age, x, which can be represented as 2 + 3x. 2 + 3x is the same age as x + 5, so we can represent it as...

2 + 3x = x + 5

3x - x = 5 - 2

2x = 3

x = 1.5

This means that Peter is 1.5 years old.

Hope this helps!

Answer:

7× greater than or equal to 50

Step-by-step explanation:

it won't let me put the sign but I think that the correct answer

Answer:
To find the answer to this question, we have to multiply the number of books by the price, then add the prices together. I did this, but it seemed that none of the answer choices are correct. Make sure you included all important information that we need to answer the question.

Step-by-step explanation:

To find the 4th order Newton's divided-difference interpolating polynomial for f(x)=ln(x) with x=1,4,5,6,8, we first need to calculate the divided differences:

A. (a) The 4th order Newton's divided-difference interpolating polynomial for the function f(x) = ln(x) using the given data points is:

P(x) = ln(1) + (x - 1)[(ln(4) - ln(1))/(4 - 1)] + (x - 1)(x - 4)[(ln(5) - ln(4))/(5 - 4)(5 - 1)] + (x - 1)(x - 4)(x - 5)[(ln(6) - ln(5))/(6 - 5)(6 - 1)] + (x - 1)(x - 4)(x - 5)(x - 6)[(ln(8) - ln(6))/(8 - 6)(8 - 1)]

B. (a) To find f(x) at x = 7 and x = 9 using the interpolating polynomial, substitute the respective values into the polynomial expression P(x) obtained in the previous part.

Explanation:

A. (a) The 4th order Newton's divided-difference interpolating polynomial can be constructed using the divided-difference formula and the given data points. In this case, we have five data points: (1, ln(1)), (4, ln(4)), (5, ln(5)), (6, ln(6)), and (8, ln(8)). We apply the formula to calculate the polynomial.

B. (a) To find the value of f(x) at x = 7 and x = 9, we substitute these values into the polynomial P(x) obtained in the previous part. For x = 7, substitute 7 into P(x) and evaluate the expression. Similarly, for x = 9, substitute 9 into P(x) and evaluate the expression.

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In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Answer:

n = -1

Step-by-step explanation:

We are told the pairs in the table represent a linear function. One way to find the value of 'n' would be to figure out what this function is, and then sub in our value for y when x=n.

Linear functions take the form y=mx+c.

Let's sub in the first ordered pair and isolate 'c' to get:

7=-2m+c

c=7+2m

Subbing in the third pair and isolating 'c' again, we get:

1=m+c

c=1-m

Since c=7+2m and c=1-m, we can say

7+2m=1-m

3m=-6

m=-2

Knowing m=-2, and c=1-m, we can say

c=1-(-2)=1+2=3

So we know the equation is y=-2x+3. When x=n, y=5, so we can write:

5=-2n+3

2=-2n

n=-1

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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Answer:13m=3

Step 1: Divide both sides by 13.

13m = 3  

Answer:

m= (3 /13)

write it as a decimal

hope this helps

:)

By the De Moivre's formula, the complex numbers i⁷¹, i⁴⁷, i¹⁹ are equivalent to - i.

In this question we have eight cases of powers of complex numbers, of which we must determine what cases are equivalent to the complex number - i. This can be checked by means of De Moivre's formula:

zⁿ = rⁿ · (cos nx + i sin nx)

Where:

Please notice that nx must be in radians.

If we know that r = 1, cos nx = 0, sin nx = - 1 and x = π / 2, then we find that:

The complex numbers i⁷¹, i⁴⁷, i¹⁹ are equivalent to - i.

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Step-by-step explanation:

Use one of them to solve for x the plug in to get the number for all of them, subtract from360 then there's your answer

Here, we want to get the cost for one pound of banana

To do this, all we have to do is to divide the cost by the number of pounds

We can infact select any of the pairs

We have the cost as;

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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(8 + m)4 + 3

This is ur answer have a good day

Perimeter of a rectangle is double of sum of its length  and width. The perimeter P of the considered rectangle is: Option B: \(P = 2x + 2y - 8\)

Its the sum of length of the sides used to made the given figure.

For a rectangle, as its two sides are equal to its length and two other sides are equal to its width, thus, its perimeter is:

\(P = 2 \times length + 2 \times width = 2(length + width)\)

For the given case, it is already given that:

The length of the considered rectangle  = x + 5 units

The width of the considered rectangle  =  y - 1 units.

Thus, we get this rectangle's perimeter as:

\(P = 2( x + 5 + y - 1) = 2(x + y + 4) = 2x + 2y - 8\\\\P = 2x + 2y - 8 \: \rm units\)

Thus,  The perimeter P of the considered rectangle is: Option B: \(P = 2x + 2y - 8\)

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Answer:

half of a foot

Step-by-step explanation:

Answer:

(7,11) 20 characters long