Jace estimated the product of (34.57)(–0.74) by rounding each number to the nearest tenth. What was Jace’s estimate?
–25.6
–24.22
24.22
25.6

Answer: 12.5

Step-by-step explanation:

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

On solving the provided question we can say that the equation is

\(H^2 + S^2 + L^2 = S^2 + 25 +10S + S^2 = 2S^2 + 10S + 25\) and  5 factor multiple of a common.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

L=5+S

H= 2S -5

so, the equation is

\(H^2 + S^2 + L^2 = S^2 + 25 +10S + S^2 = 2S^2 + 10S + 25\)

\(4s^2 -20S + 25 = 2S^2 + 10S +25\\2S^2 -30S = 0\\S^2 -15S = 0\\S(S-15) = 0\\\)

S = 15 feet = shortest side

L= 15 + 5 = 20 feet

H= 30-5 = 25 feet

15-20-25 is a 5 factor multiple of a common 3-4-5 right triangle.   9+16 = 25

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The acceleration vector can be written as a = (25/9)T + 0N, or simply a = (25)T. (option a).

To find the acceleration, we need to take the second derivative of the position vector r(t) with respect to time, which represents the rate of change of velocity. Let's start by finding the first derivative of r(t):

r'(t) = (d/dt)(9sin(5t/9) + 2)i + (d/dt)(9cos(5t/9) - 7)j + (d/dt)(12t)k

The unit tangent vector T is defined as the normalized version of the velocity vector, which is r'(t)/||r'(t)||. To find T, we calculate the magnitude of r'(t) and normalize it:

||r'(t)|| = √((25/9)²(sin²(5t/9) + cos²(5t/9))) = √((25/9)²) = 25/9

Therefore, the unit tangent vector T is given by:

T = r'(t) / ||r'(t)|| = [(25/9)(-sin(5t/9))i - (25/9)(cos(5t/9))j] / (25/9) = (-sin(5t/9))i - (cos(5t/9))j

The unit normal vector N is perpendicular to the unit tangent vector T and is given by N = (cos(5t/9))i - (-sin(5t/9))j, or simplifying it, N = (cos(5t/9))i + (sin(5t/9))j.

Now, we can express the acceleration vector in the form atT + anN by taking the dot product of r''(t) with T and N:

aT = r''(t) · T = (25/9)(-sin(5t/9))(-sin(5t/9)) + (25/9)(cos(5t/9))(-cos(5t/9)) = 25/9

aN = r''(t) · N = (25/9)(-sin(5t/9))(cos(5t/9)) + (25/9)(cos(5t/9))(sin(5t/9)) = 0

Therefore, the correct answer is: A) a = 25T

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Answer:520+70= 580

Step-by-step explanation: i got 500 because  i add 30 in the 490

Answer:

halabyouuuuuu

yiieeeeeee

23

Explanation

Complementary angles are pair angles with the sum of 90 degrees, so we can say that

are complementary angles, therefore

Step 1

so,we need to equals to 90 and solve for x

so, the answer is

23

I hope this helps you

Answer:

D

Step-by-step explanation:

Answer:

The answer to your question is given below.

Step-by-step explanation:

1. f(x) = 5x + 1

x = – 5

f(x) = 5x + 1

f(–5) = 5(–5) + 1

f(–5) = –25 + 1

f(–5) = –24

2. f(x) = 5x + 1

x = – 1

f(x) = 5x + 1

f(–1) = 5(–1) + 1

f(–1) = –5 + 1

f(–1) = – 4

3. f(x) = 5x + 1

x = 1

f(x) = 5x + 1

f(1) = 5(1) + 1

f(1) = 5 + 1

f(1) = 6

4. f(x) = 5x + 1

x = 2

f(x) = 5x + 1

f(2) = 5(2) + 1

f(2) = 10 + 1

f(2) = 11

5. f(x) = 5x + 1

x = 2

f(x) = 5x + 1

f(3) = 5(3) + 1

f(3) = 15 + 1

f(3) = 16

Summary

x >>>>>>>> f(x)

–5 >>>>>> – 24

–1 >>>>>> – 4

1 >>>>>>>> 6

2 >>>>>>> 11

3 >>>>>>> 16

Answer:

1.43

Step-by-step explanation:

1.43 or  1  43/100 turned into a percent is 143%

Answer:

1.43 because 1 = 100 percent and the 43 is your 43 remaining

Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.

According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.

This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.

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Answer:

Step-by-step explanation:

Hello, as alpha and beta are zeroes of

\(x^2-x-2\)

it means that their sum is alpha+beta=1 and their product alpha*beta=-2.

The polynomial whose zeroes are 2 alpha + 1 and 2 beta + 1, means that the sum of its zeroes is 2(alpha+beta)+2=2+2=4

and the product is (2alpha+1)(2beta+1)=4 alpha*beta + 2(alpha+beta) + 1 = 4 * (-2) + 2*(1) +1 = -8 + 2 + 1 = -5. so one of these polynomials is

\(\Large \boxed{\sf \bf \ \ x^2-4x-5 \ \ }\)

Thank you.

Answer:

B, C.

Step-by-step explanation:

B, because you're multiplying them all, which is what you would do in the normal formula. You would get 255/16, or 15.9375.

C, since you would also get 255/16.

Please tell me if im wrong! im only a student .m.

SOLUTION

(a) All the vertices have 3 lines emanating from them with the exception of C which has 2 lines. That is points A, B, D, and E have 3 lines emanating from them. So their degree is 3.

Therefore, the degree of vertex A is 3

(b) The even vertex is the one that has 2 lines emanating from it. So, the even vertex is C, and the odd vertices are A, B, D, and E. Because they have 3 lines.

(c) All the vertices that are adjacent to E are all the lines drawn to touch all the other vertices. So, A, B, and D are connected to E.

Therefore the vertices adjacent to E are A, B, and D

The polynomial that is prime is given by Option C: \(10x^2 - 4x +3x +6\)

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Rewriting it as:

\(x^3+3x^2+2x+6 = x^2(x+3) + 2(x+3) = (x^2 + 2)(x+3)\)

shows that this polynomial has factors. Thus, it isn't prime polynomial

Rewriting it as:

\(x^3 + 3x^2 -2x -6 = x^2(x+3) -2(x+3) = (x^2-2)(x+3)\)

shows that this polynomial has factors. Thus, it isn't prime polynomial

We can rewrite it as:

\(10x^2 -4x + 3x -6 = 10x^2 -x -6 = f(x) \: \rm (say)\)

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4: \(10x^2 -10x + 6x - 6\)

It can be factored as:

\(10x(x-1) + 6(x-1) = (x-1)(10x-6)\)

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C: \(10x^2 - 4x +3x +6\)

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Answer:

The polynomial that is prime is given by Option C:

What are prime polynomials?

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Case 1:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 2:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 3:

We can rewrite it as:

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4:

It can be factored as:

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C:

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Step-by-step explanation:

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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The cosine of the angle of intersection is approximately 0.965.

The point of intersection between the curves r1(t)=⟨t,3−t,9 t2⟩ and r2(s)=⟨1−s,s 2,s2⟩ can be found by setting their respective components equal to each other and solving for the values of t and s. This gives us the following system of equations:
t = 1 - s
3 - t = s^2
9t^2 = s^2

Solving for t in the first equation and substituting into the second equation gives us:
3 - (1 - s) = s^2
s^2 - s - 2 = 0

Using the quadratic formula, we find that s = 2 or s = -1. Substituting these values back into the first equation gives us t = -1 or t = 2.

The point of intersection is therefore (x,y,z) = (-1,2,9) or (2,1,4).
To find the angle of intersection, we can use the dot product formula:
cos(θ) = (r1(t) · r2(s)) / (|r1(t)| |r2(s)|)

Substituting in the values of t and s from the point of intersection and simplifying gives us:
cos(θ) = (-1)(1-2) + (2)(2) + (9)(4) / (√((-1)^2 + 2^2 + 9^2) √((1-2)^2 + 2^2 + 4^2))
cos(θ) = 41 / (√86 √21)
cos(θ) = 41 / √1806

Therefore, the cosine of the angle of intersection is approximately 0.965.

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The predicted values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350, therefore, the correct option is IC.

Given,

Mean of X = 600

Standard deviation of X = 10

Mean of Y = $5000

Standard deviation of Y = 1000

Correlation r= 0.9

Future value of X = 595

Z score of X = (X- Mean of X) / Standard deviation of X= (595-600) / 10 = -0.5

Using the formula, Predicted y = average of y+ r* (Z score of X)* standard deviation of y

Predicted y = $5000 + 0.9 * (-0.5) * 1000 = $4750

The predicted value of Y for X = 595 is $4750.

Now, to find the values of A, B, C, and D; we need to calculate the Z score of X = 615 and find the corresponding predicted value of Y.

Z score of X = (X- Mean of X) / Standard deviation of X= (615-600) / 10 = 1.5

Predicted y = average of y+ r* (Z score of X)* standard deviation of y

Predicted y = $5000 + 0.9 * (1.5) * 1000 = $6350

The predicted value of Y for X = 615 is $6350.

Hence, the values of A, B, C, and D are: A = 595B = -0.5C = 600D = $6350

Therefore, the correct option is IC.

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Answer:

G

Step-by-step explanation:

Red marble probably currently: 12/32 = 3/8

Guess and check (using the multiple choice answers):

F: 12 + 13 / 32 + 13 = 25/45 = 5/6; does not equal 3/5

G: 12 + 18 / 32 + 18 = 30/50 = 3/5; does equal 3/5

H: 12 + 28 / 32 + 28 = 40/60 = 2/3; does not equal 3/5

J: 12 + 32 / 32 + 32 = 44/64 = 11/16; does not equal 3/5

K: 12 + 40 / 32 + 40 = 52/72 = 13/18; does not equal 3/5

Check the picture below.

\(\tan(52^o )=\cfrac{\stackrel{opposite}{y}}{\underset{adjacent}{120}}\implies 120\tan(52^o )=y \\\\[-0.35em] ~\dotfill\\\\ \sin(67^o )=\cfrac{\stackrel{opposite}{y}}{\underset{hypotenuse}{CB}}\implies CB=\cfrac{y}{\sin(67^o )} \\\\\\ CB=\cfrac{120\tan(52^o )}{\sin(67^o )}\implies CB\approx 166.9 ~~ ft\)

Make sure your calculator is in Degree mode.

Answer:

.

Step-by-step explanation:

There is no existence of a solution to the equation is f(x) =3 - 2x between the interval of (2, 3).

From the question , we have the information available is:

The equation is:

f(x) =3-2x

and, the interval is (2,3)

We have to find the root of the equation in the interval (2, 3) by using the intermediate value theorem.

Let  f(x) =3-2x

f(2) = 3 - 2(2)

f(2) = 3-4

f(2) = -1

f(3) = 3 - 2(3)

f(3) = 3 - 6

f(3) = -3

Intermediate value theorem is defined that:

If a continuous function f(x) on the interval [a,b] , then for every y -value lies between f(a) and f(b) and also has a opposite sign lies in the interval [a, b], then there exists at least one 'c' such that c ∈ (a, b) (or a < c < b) and f(c) = L"

Hence, There is no existence of a solution to the equation is f(x) =3 - 2x between the interval of (2, 3)

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Answer:

1 3/6

Step-by-step explanation:

Answer:

The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).

Step-by-step explanation:

You can see how this factors by looking at the last term, and the coefficient of the second term.  You need to find two numbers that multiply to make seven, and add to make eight.

Because seven is a prime number, this becomes very easy.  If this works at all, the numbers must be seven and one.

And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use.  Let's do it:

x² + 8x + 7

= x² + x + 7x + 7

= x(x + 1) + 7(x + 1)

= (x + 7)(x + 1)

Answer:

90 minutes

Step-by-step explanation:

it will take twice as long therefore 90 minutes

Answer:

Step-by-step explanation:WAT

Answer:

q=12.

Step-by-step explanation:

1/3(q+3)=5 can be translated to (q+3)/3=5.

Multiply each side by 3 to get q+3=15.

Subtract 3 from each side to get q=12.

Can you explain what you mean by "Explain why 1/3 is a fraction?"

Answer:

Assuming Q is q, q = 12.  1/3 is a fraction since it is a ratio of two whole numbers.

Step-by-step explanation:

For this problem, we need to understand two things.  (1)  q is the unknown variable of this equation.  (2) The definition of a fraction is a "numerical quantity that is not a whole number" -Oxford Dictionary which can also be stated mathematically as a ratio of two whole numbers.

First, let's explain why 1/3 is a fraction.  In the numerator, we have the whole number 1, and in the denominator, we have the whole number 3.  Mathematically, 1/3 is a fraction since it is a ratio of two whole numbers.  Alternatively, we can say it's a non-whole numerical quantity.  In this case, 0.33 repeating.

Second, let's solve for our unknown variable q:

1/3 ( q + 3 ) = 5

1/3 ( q + 3 ) * 3 = 5 * 3

q + 3 = 5 * 3

q + 3 = 15

q + 3 - 3 = 15 - 3

q = 15 - 3

q = 12

Hence, the value of q is 12.

Cheers.