a =4
5

b =3
2
Work out a - 2b as a column vector.

Answer:

80

Step-by-step explanation:

I just did this and its right!

Answer:

80

Step-by-step explanation:

step-by-step explanation is xy xyz wyz xyz 80

Answer:

Correct answer is: Alternate Exterior Angles Theorem

Step-by-step explanation:

See attached picture.

The angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the alternate outside angle theorem, alternate exterior angles are regarded as congruent angles or angles of equal measure when two parallel lines are intersected by a transversal.

In the given image there are two parallel lines and one line is intersecting the two parallel lines at some angle.

Angle 1 and angle 11 will be equal to each other because of the two properties of angles that are alternate exterior angles theorem and corresponding angles postulate.

Therefore, the angles ∠1≅∠11 are equal by alternate exterior angles theorem and corresponding angles postulate. The correct options are A and D.

The image of the complete question is attached with the answer below.

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99,000 / 6,700,000 = 99 / 6700

1.4776% of the shares are owned by the mutual fund

so 1.5% if I round

please give brainliest

Answer:

6 yard    (*3)    18 feet

6 feet     (/3)      2 yard

4 feet.    (*12)    48 inch

7 yard.    (*3)      21 feet

7 feet      (*12)    84 inch

2 yards   (*36)   72 inch

2 miles     (*5280)     10,560 feet

5 yards    (*36)     180 inch

Answer:

C≈43.98cm

Step-by-step explanation:

Hhhhhhhhhhhhhhhhhhh

Answer:

Step-by-step explanation:

hello :

the circumference ix : P= 2 pi ×r r : ridus r = diameter/2 = 7 cm

P= 2×3.14×7=43.96 cm

The number of gallons is 4.1

From the information given, we have that;

1 gallon of paint is equivalent to 150 square feet

Since we have 2 doors, the area of a rectangular prism is

Area = lw

Area =20(15)

Area = 300 (2) = 600 ft²

For the window, we have;

Area = 3(5) = 15

The total area of the wall is;

Total area = 615 ft²

Then, if;

1 gallon = 150 square feet

x = 615  square feet

cross multiply

x = 4. 1 gallons

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Answer:

<

Step-by-step explanation:

The bigger the numerator,the smaller it is.

Answer:

i agree <

Step-by-step explanation:

The graph of the linear inequality is given by the image presented at the end of the answer.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The function for this problem is given as follows:

y = -3x/4 + 2.

Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.

The inequality is given as follows:

y < -3x/4 + 2.

Meaning that points below the dashed line are the solution to the inequality.

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Answer:

i believe the answer would be option D

Step-by-step explanation:

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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Answer:

Expression is; 29 - x = 16

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

Based on inductive reasoning, if 1 = 3, 2 = 3, 3 = 5, 4 = 4, 5 = 4, then 6 is equal to 3.

Inductive reasoning can be defined as a process that involves drawing and arriving at a general conclusion (conjecture), especially by critically observing a pattern that's based on a sequence or specific instances.

By critically observing the given sequence of numbers, we can reasonably and logically deduce that each of the number on the right hand side of the expression is a translation of the number of letters in each of the number on the left.

Therefore, the pattern can be represented as follows:

1 = One = 3.

2 = Two = 3.

3 = Three = 5.

4 = Four = 4.

5 = Five = 4.

6 = Six = 3.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Step-by-step explanation:

\(b = k + \frac{l}{m} \\ b - k = \frac{l}{m} \\ m = \frac{l}{b - k} \\ thank \: you\)

Answer:

270 minutes

Step-by-step explanation:

There are 60 minutes in an hour, so times that by 4 (60 x 4) and you would get 240 minutes. Half of an hour is 30 minutes, so go ahead and add that to the time we already have (240 + 30), which would give us 270 minutes!

Hope this helps!

The quadratic equation in vertex form has the following features:

Concavity: Upward

Vertex: (h, k) = (- 5, - 6)

y-Intercept: f(0) = 19

Axis of symmetry: x = 5

Zeros: x = - 5 ± √6

Domain: All real numbers.

Range: y ≥ 6

The quadratic equation is an even function.

In this problem we find the case of a quadratic equation in vertex form, whose definition is shown below:

y - k = C · (x - h)²

Where:

Please notice that graphic representation of a quadratic equation is a parabola and there is an upward concavity and a minimum when vertex constant is positive, otherwise there are a downward concavity and a maximum when vertex constant is negative.

Now we proceed to determine all required information:

Concavity: Upward (Positive vertex constant)

Vertex: (h, k) = (- 5, - 6)

y-Intercept:

f(0) = (0 + 5)² - 6

f(0) = 25 - 6

f(0) = 19

Axis of symmetry: x = 5

Zeros:

0 = (x + 5)² - 6

6 = (x + 5)²

± √6 = x + 5

x = - 5 ± √6

Domain: All real numbers.

Range: y ≥ 6

Even or Odd: All quadratic equation are even functions.

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Answer:

4 1/2

Step-by-step explanation:

41−172=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(4/1, 17/2) = 2

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(41×22)−(172×11)=?

Complete the multiplication and the equation becomes

82−172=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

8−172=−92

This fraction cannot be reduced.

The fraction

−92

is the same as

−9÷2

Convert to a mixed number using

long division for -9 ÷ 2 = -4R1, so

−92=−412

Therefore:

41−172=−412

Solution by Formulas

Apply the fractions formula for subtraction, to

41−172

and solve

(4×2)−(17×1)1×2

=8−172

=−92

Convert to a mixed number using

long division for -9 ÷ 2 = -4R1, so

−92=−412

Therefore:

41−172=−412

Answer:

B

Step-by-step explanation:

a function happens when there is exactly one output given for every input

Answer

68

Step-by-step explanation:

I think

Answer:

Step-by-step explanation:

Given

w is the classmate's weight in pounds

h is the height

The general formula for the expression is y = MX+c where

m is the slope

c is the intercept

M is the change in y to change in x

Comparing with the given equation

w = 6.5h - 275, we will see that the slope of the equation is 6.5 and can be expressed as the change in the classmate's height to the classmate's weight

slope = dh/dw = 6.5

Answer: Yes

Step-by-step explanation:

Answer:

Yes

because it is positive

Along with proof of (a.) and (d.), (b.) Power tower: one level is a, (k + 1) levels is a raised to the power of a power tower with k levels, (c.) A(2, n) <= 2 ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.

The idea of a fully computable function that is not primitive recursive is illustrated by the recursively constructed mathematical function known as the Ackermann function. Since m and n are non-negative integers, it is commonly written as A(m, n).

a.) Prove using regular induction that \(A(1, n) \leq 2^n\) for all positive integers n:

Base Case: For n = 1, A(1, 1) = 2, which is equal to \(2^1\).

Inductive Hypothesis: Assume that \(A(1, k) \leq 2^k\) for some positive integer k.

Inductive Step: We need to show that \(A(1, k + 1) \leq 2^{(k + 1)}\). Using the recursive definition of A(m, n), we have \(A(1, k + 1) = A(0, A(1, k)) = 2^{(A(1, k))}\leq 2^{(2^k)}\) (by inductive hypothesis)\(< = 2^{(2^{(k + 1)})}\).

Therefore, by regular induction, we have proved that \(A(1, n) \leq 2^n\) for all positive integers n.

b.) A power tower with one level is defined as a, and a power tower with (k + 1) levels is defined as a raised to the power of a power tower with k levels.

c.) \(A(2, n) \leq 2\) ↑↑ n for all positive integers n, where ↑↑ denotes power tower notation.

d.) The recursive definition of a triple arrow-up notation for power towers is:

a ↑↑↑ 1 = a (base case)

a ↑↑↑ (k + 1) = a ↑↑ (a ↑↑↑ k) (recursive step)

This definition states that a triple arrow-up notation with one level is equal to the base value "a", and a triple arrow-up notation with (k + 1) levels is equal to "a" raised to the power of a triple arrow-up notation with "k" levels.

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Complete Question: ( Refer to image)

Answer:

a: 2

b:93

Step-by-step explanation:

x=3  

y-5

a)

4x-2y    given

4(3)-2(5)  substitution

12-10        multiply

2               subtract

b)

2x^2+3y^2       given

2(3^2)+3(5^2)  substitution

2(9)+3(25)       solve exponent

18+75               multiply

93

Answer:

A would be 2 assuming x=3 and y=5

B would be 36 + 225 . So I believe the answer is 261

Step-by-step explanation:

I hope you ace your test

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

22

Answer:

14:46= 0.3

Step-by-step explanation:

Ratios can be expressed as a decimal, fraction or a math expression as above. (2 weeks is 14 days.)