What's 1 + 1 nothing more nothing less

Answer:

Step-by-step explanation:

45

Answer:

-1,0

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

5^4 is just saying 5x5x5x5

y = feet in the air

x = seconds it takes

well, what's "y" when x = 3?

\(y=-2.7(3)^2 + 30(3) + 6.5\implies y=-2.7(9)+96.5\implies \boxed{y=72.2~feet}\)

now, what's "x" when y = 75?

\(75=-2.7x^2+30x+6.5\implies 0=-2.7x^2+30x-68.5 \\\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{-2.7}x^2\stackrel{\stackrel{b}{\downarrow }}{+30}x\stackrel{\stackrel{c}{\downarrow }}{-68.5} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}\)

\(x=\cfrac{-30\pm\sqrt{(30)^2 - 4(-2.7)(-68.5)}}{2(-2.7)}\implies x=\cfrac{-30\pm\sqrt{900-739.8}}{-5.4} \\\\\\ x=\cfrac{30\mp\sqrt{160.2}}{5.4}\implies x\approx \begin{cases} 3.2&\textit{on the way up}\\\\ 7.9&\textit{on the way down} \end{cases}\)

Answer:

32 red cars.

Step-by-step explanation:

Let the red cars be denoted by R

Let the green cars be denoted by G

Translating the word expression into an algebraic equation;

\( R + G = 36\) ...........equation 1

\( R = 8G\) ...........equation 2

Substituting equation 2 into equation 1;

\( 8G + G = 36\)

\( 9G = 36\)

\( G = \frac{36}{9}\)

G = 4

The number of green cars are 4.

From, \( R = 8G\)

\( R = 8*4\)

R = 32

Therefore, the number of red cars that Susan counted are 32.

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

Answer:

The function \(f:\mathbb Z\to\mathbb Z,~f(x)=3x+4\) is injective (one-to-one).

Step-by-step explanation:

The definition of an injective function follows.

Let \(X,Y\) be sets. Let \(f:X\to Y\) be a function. We say \(f\) is injective if, for all \(x,y\in X\), \(f(x)=f(y)\) implies \(x=y\).

This is the proof that  \(f:\mathbb Z\to\mathbb Z,~f(x)=3x+4\) is injective.

Let \(x,y\in\mathbb Z\) and assume \(f(x)=f(y)\). This means \(3x+4=3y+4\). Subtracting \(4\) gives \(3x=3y\), then dividing by \(3\) gives \(x=y\). Thus \(f\) is injective.

One way to check for a mistake in your work without redoing the cross product is to use the anti- commutative property of the cross product

One property of the cross product is that it is anti-commutative, which means that the order of the vectors matters:

v × w = - (w × v)

Using this property, we can compute w × v and compare it to the result that we got:

w × v = -(2i-j+2k)×(i+2j−3k)

= -2i×i -(-j)×2j + 2k×(-3k)

= -\(2i^2\) -\(2j^2\) -\(6k^2\)

= -2(-1) -2(-1) -6(1)

= 2

Therefore, w × v = 2(-i+2j+3k)

If the result we got, v × w=i+8j−5k, is correct, then we should have:

v × w = - (w × v)

i+8j−5k = -(-i+2j+3k)

i+8j−5k = i-2j-3k

Simplifying this equation, we get:

10j - 8k = 0

This equation is not satisfied by the vector i+8j-5k, so we can say,  that there must be a mistake in our work.

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-16p was my answer after simplifying it

Answer:

120p - 16p = 104p

Step-by-step explanation:

-3p x -3p = 9p + 6p = 15p x 8p = 120p

8p x -2 = -16p

120p - 16p = 104p

Please wait for more responses if needed thank you.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

0.5 meter

Step-by-step explanation:

Calculate the height of the vessel. = 0.77 m³ So, Volume of the cylinder, V = 0.77 m³. Hence, the height of the cylinder is 0.5 meter

The equation of each line that satisfies the given conditions are:

1. y - 2 = 5/2(x - 3)

2. y - 4 = m(x + 3)

3. y = -3x + 5

1. Given the points, (3, 2) and (5, 7), find the slope (m):

Slope (m) = change in y / change in x = (7 - 2)/(5 - 3)

m = 5/2

Write the equation in point-slope form by substituting m = 5/2 and (a, b) = (3, 2) into y - b = m(x - a):

y - 2 = 5/2(x - 3)

2. Given:

A point = (-3, 4)

Slope (m) = 2

Substitute (a, b) (-3, 4), and m = 2 into y - b = m(x - a):

y - 4 = m(x + 3) [equation of the line]

3. Given:

Slope (m) = -3

Y-intercept (b) = 5

Substitute m = -3 and b = 5 into the equation y = mx + b:

y = -3x + 5

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Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer: B

Step-by-step explanation:

\((5x^2 -x-3)(2x+6)\\\\=2x(5x^2 - x-3)+6(5x^2 - x-3)\\\\=10x^3 - 2x^2 - 6x+30x^2 - 6x-18\\\\=\boxed{10x^3 +28x^2 - 12x-18}\)

Answer:

\(2d - 3 \: \)

hope it helps⁽⁽ଘ( ˊᵕˋ )ଓ⁾⁾

Answer:

the answer is -2d -3

Step-by-step explanation:

I hope my answer is correct

Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

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3x=71-2

3x=69

x=69/3

x=23

Answer:

C. 18.3 in

Explanation:

Forget the trouts, since we are only asked about the length of the catfish.

Now bill caught three catsfish. Let us see their lengths.

Length of catfish 1 = 19 in

Length of catfish 2 = 19 in

Length of catfish 3 = 16.9 in

Therefore, the average length of the three catfish is

Hence, the average length of the catfish is 18.3 in. Therefore, choice C is the correct answer!

The volume of the cone is 12π or 37.70 cm²

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.

The volume of a cone is given by the equation

Volume of Cone = ( 1/3 ) πr²h

where r is the radius of the cone

h is the height of the cone

Given data ,

Let the volume of the cone be represented as V

Now , the equation will be

Let the length of the cone be S = 5 cm

Let the height of the cone be = H

Let the radius of the cone be R = 3 cm

From the Pythagoras theorem , S² = H² + R²

So, substituting the values in the equation , we get

Height of the cone H = √5² - 3²

Height of the cone H = √25 - 9

Height of the cone H = √16

Height of the cone H = 4 cm

Now , the volume of the cone = ( 1/3 ) πR²H

Substituting the values in the equation , we get

Volume of the cone V = ( 1/3 ) x π x ( 3 )² x 4

On simplifying the equation , we get

Volume of the cone V = 3 x 4 x π

Volume of the cone V = 12 π

Volume of the cone V = 37.70 cm²

Therefore , the value of V is 37.70 cm²

Hence , the volume of cone is 12π or 37.70 cm²

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Answer: The shape cannot be determined since we don’t know the shape of either population distribution.

Step-by-step explanation:

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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A probability mass function (pmf) for a random variable X must satisfy the following two conditions:
1. f(x) ≥ 0 for all x
2. Σf(x) = 1

(a) f(x) = x/c
To find the constant c, we can use the second condition and sum over all possible values of x:
Σf(x) = Σ(x/c) = 1/c Σx = 1
Since we don't have a specified range for x, we cannot solve for c.

(b) f(x) = cx
Again, we can use the second condition to find the constant c:
Σf(x) = Σ(cx) = cΣx = 1
Without a specified range for x, we cannot solve for c.

(c) f(x) = c(1/4)^x
Using the second condition:
Σf(x) = Σ(c(1/4)^x) = cΣ(1/4)^x = 1
We can use the formula for an infinite geometric series to find the sum:
Σ(1/4)^x = 1/(1 - 1/4) = 4/3
So, c = 3/4

(d) f(x) = c(x + 1)^2
Using the second condition:
Σf(x) = Σ(c(x + 1)^2) = cΣ(x + 1)^2 = 1
Without a specified range for x, we cannot solve for c.

(e) f(x) = x/c
This is the same as part (a), so we cannot solve for c without a specified range for x.

(f) f(x) = c/(x+1)(x+2)
Using the hint, we can rewrite f(x) as:
f(x) = c(1/(x+1) - 1/(x+2))
Using the second condition:
Σf(x) = Σ(c(1/(x+1) - 1/(x+2))) = cΣ(1/(x+1) - 1/(x+2)) = 1
We can use the formula for a telescoping series to find the sum:
Σ(1/(x+1) - 1/(x+2)) = 1 - 1/(x+2)
As x approaches infinity, the sum approaches 1.
So, c = 1

To depict each pmf as a line graph, we would plot the values of f(x) on the y-axis and the values of x on the x-axis. However, without a specified range for x, we cannot create accurate graphs for parts (a), (b), (d), and (e). For part (c), the graph would be a decreasing exponential curve, with f(x) approaching 0 as x increases. For part (f), the graph would be a decreasing curve, with f(x) approaching 0 as x increases.

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Answer:

4, 2, 9, 3, 6

Step-by-step explanation:

756/4= 189

756/2= 378

756/9= 84

756/25= 30.24

756/5= 151.2

756/8= 94.5

756/10= 75.6

756/3= 252

756/6= 126

Step-by-step explanation:

16=-2x-1

17=-2x

x=-17/2

x=-8.5

(this one isn't in the correct order but it's one of the answers ¯\_(ツ)_/¯

16 = -2x - 1

-8=x-1

-7=x

x=-7

Answer:

3.94

Step-by-step explanation:

3.944     rounded to nearest hundredth  = 3.94    becuase the thousandth digit is <5  you do not change the hundredth