The sum of three times the opposite of a number and -7?
What is the algebraic phrase?

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Answer:

126720x⁸

Step-by-step explanation:

explanations are in the images above .. you can reach me personally for expanded help

Answer:

a

Step-by-step explanation:

x² - 3 = 2x ( subtract 2x from both sides )

x² - 2x - 3 = 0 ← in standard form

consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (- 2)

the factors are - 3 and + 1 , since

- 3 × + 1 = - 3 and - 3 + 1 = - 2 , then

x² - 2x - 3 = (x - 3)(x + 1) = 0 ← in factored form

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x - 3 = 0 ⇒ x = 3

Answer:

(3r+2)(2r−5)

Step-by-step explanation:

You have to factor out the equation.

Hope this helped! :)

Answer:

24/5 or 4 and 4/5

Step-by-step explanation:

3 and 3/4=15/4

18 divided by 15/4=4 and 4/5

4 and 4/5=24/5

24/5 times 15/4=18

Answer:

I agree with the person above but I'm not so sure.

Answer:

1-3c/4d+5

Step-by-step explanation:

Please like

Answer:

option c

Step-by-step explanation:

on edge

Answer:

y=1/5x+7

Step-by-step explanation:

We can plot the vector r(t) and the vector N(T) at the given value of t = T.

To find the principal unit normal for the vector-valued function r(t) = sin(t)i + tcos(t)j + tk, we need to compute the derivative of r(t) with respect to t and then normalize it to obtain a unit vector.

First, let's find the derivative of r(t):

r'(t) = cos(t)i + (cos(t) - tsin(t))j + k

Next, we'll normalize the vector r'(t) to obtain the unit vector:

||r'(t)|| = sqrt((cos(t))^2 + (cos(t) - tsin(t))^2 + 1^2)

Now, we can find the principal unit normal vector by dividing r'(t) by its magnitude:

N(t) = r'(t) / ||r'(t)||

Let's evaluate the principal unit normal at t = T:

N(T) = (cos(T)i + (cos(T) - Tsin(T))j + k) / ||r'(T)||

To sketch the situation, we can plot the vector r(t) and the vector N(T) at the given value of t = T.

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Answer:

C

Step-by-step explanation:

Hope it helps

Answer:

D

Step-by-step explanation:

Answer:

Your answer is (6x−1)(3x−2)

Step-by-step explanation:

Using trigonometric functions, we can find the value of w to be = 9.688cm.

The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.

Here in the question,

We have a right-angled triangle.

Basse of the triangle = 8√3cm.

It's an isosceles triangle.

So, cos45° = w/8√3

⇒ 0.70 = w/8√3

Cross multiplying:

⇒ w = 0.70 × 8√3

⇒ w = 9.688 cm.

Therefore, the measure of the length of the side w = 9.688cm.

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The solution to the system of linear equations using an inverse matrix is x1 = 161/9 and x2 = -112/9.

To solve the system of linear equations using an inverse matrix, we can represent the system in matrix form as follows:

```

[ 5   4 ] [ x1 ]   [  7  ]

[-1   1 ] [ x2 ] = [ -23 ]

```

Let's denote the coefficient matrix as A, the variable matrix as X, and the constant matrix as B. We can rewrite the equation as AX = B.

```

A = [ 5   4 ]

   [-1   1 ]

X = [ x1 ]

   [ x2 ]

B = [  7  ]

   [ -23 ]

```

To solve for X, we can use the formula X = A^(-1) * B, where A^(-1) represents the inverse of matrix A.

First, let's calculate the inverse of matrix A:

```

A^(-1) = (1 / determinant(A)) * adjoint(A)

```

The determinant of A is: (5 * 1) - (4 * -1) = 9

The adjoint of A is:

```

[  1   -4 ]

[ -1    5 ]

```

Therefore, the inverse of A is:

```

A^(-1) = (1/9) * [  1   -4 ]

               [ -1    5 ]

```

Now, we can calculate X:

```

X = A^(-1) * B

```

Substituting the values:

```

X = (1/9) * [  1   -4 ] * [  7  ]

           [ -1    5 ]   [ -23 ]

```

Calculating the matrix multiplication:

```

X = (1/9) * [ (1*7 + -4*-23) ]

           [ (-1*7 + 5*-23) ]

```

Simplifying the calculations:

```

X = (1/9) * [ 161 ]

           [ -112 ]

```

Therefore, the solution to the system of linear equations is:

```

x1 = 161/9

x2 = -112/9

```

Hence, the solution to the system of linear equations using an inverse matrix is x1 = 161/9 and x2 = -112/9.

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7800 voters voted for Addair.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

If 39% of the sample population voted for Addair.

total people= 20, 000

So, the people who voted for Addair

= 20000 x 39%

= 20000 x 39/100

= 200 x 39

= 7800

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To be certain to get one sock of each color, we need to pull at least the maximum number of socks of any single color.

In this case, there are 10 black socks, so we need to pull at least 10 socks to be certain to get one of each color.

Therefore, the minimum number of socks that must be pulled at random to be certain to get one of each color is 10.

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19 socks must be pulled at random to guarantee obtaining one sock of each color. To be certain to get one of each color, we need to consider the worst-case scenario. Let's assume we first pull out all the red socks. In this case, we would still need to pull out the remaining blue and black socks.

Since there are 8 blue socks and 10 black socks, the maximum number of socks we would need to pull out to guarantee having one of each color is 8 + 10 + 1 = 19.

To understand why we add 1 at the end, let's break it down:
- We pull out 8 blue socks, and at this point, we have 6 red and 2 black socks left.
- Next, we pull out the remaining 6 red socks, and we have 2 black socks remaining.
- Finally, we pull out the remaining 2 black socks, and now we have one of each color.

Therefore, we can conclude that we need to pull out a total of 19 socks to be certain of getting one sock of each color.

In conclusion, 19 socks must be pulled at random to guarantee obtaining one sock of each color.

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Answer:the coefficient of the 2nd term is : 24

Step-by-step explanation:(6p + 2)^2 =

(6p + 2)(6p + 2) =

36p^2 + 12p + 12p + 4 =

36p^2 + 24p + 4

Answer:

it should be all real number

Step-by-step explanation:

Answer:

A. x ≤ 5

Step-by-step explanation:

We know that finding the domain consists of finding where the function has an x value, so that rules out answer choice B which uses y, that gives the range.

Since the graph cuts off at a point (x = 5), We can confer that the domain is not all real numbers, so that eliminates D.

Now when you look at the graph, you can see that at x = 5, the x values start becoming smaller, so that rules out answer choice C which states that the x values at 5 start to get larger.

The answer is A because it includes x = 5, and the x values of the graph progressively get smaller.

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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PLUG IN THE VALUES IN THE RIGHT POSITIONS AND SIMPLIFY.

\( = 2( \frac{1}{2} + \frac{3}{4} ) + 6 \\ = 2( \frac{5}{4} ) + 6 \\ = \frac{10}{4} + 6 \\ = \frac{5}{2} + 6 \\ = \frac{17}{2} \)

THE ANSWER IS OPTION C.

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

Answer:

1 in 5

Step-by-step explanation:

Answer:

\(x > \frac{5}{2} > 2\frac{1}{2}\)

Step-by-step explanation:

group

\(4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10\)

isolate "x"

\(4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}\)

Answer:

x > 2.5 or in fraction form x > 2 1/2

Step-by-step explanation:

4x - 7 > 3

     +7  +7         Add seven to both sides.

4x > 10

÷4     ÷4            Divide both sides by 4.

x > 2.5

Hope this helps!

Answer:

113 moteis

Step-by-step explanation:

A = 7 x 4 = 28 yards^2

1 yard - 0,9 m

1 yard^2 - 0,81 m^2

28 yards^2 - A

A = 28 x 0,81 = 22,68m^2

22,68 x 5 = 113,4

113 moteis

Answer:

140

Step-by-step explanation:

because it is

The constant of proportionality in table four is -1/3

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

In each of the table, we can check if proportionality exists.

In the first table, there's no proportionality.

In the second table, there's no proportionality

In the third table, there's no proportionality

In the fourth table, proportionality exist here which we can find the constant of proportionality.

When x = 6, y = -2

y = ax

a = constant of proportionality

-2 = a(6)

a = -1/3

The constant of proportionality is -1/3

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The function H(x) = (x - 2)^3 can be expressed as a composite function using F(x) = x^3 and G(x) = x - 2.

To express the function H(x) = (x - 2)^3 as a composite function using F(x) = x^3 and G(x) = x - 2, we substitute G(x) into F(x) to obtain the composite function.

The function F(x) = x^3 represents the cube of x, and the function G(x) = x - 2 represents the difference between x and 2.

Substituting G(x) into F(x), we replace each occurrence of x in F(x) with G(x):

F(G(x)) = (G(x))^3

Since G(x) = x - 2, we have:

F(G(x)) = ((x - 2))^3

Simplifying further, we have:

F(G(x)) = (x - 2)^3

Therefore, the function H(x) = (x - 2)^3 can be expressed as a composite function using F(x) = x^3 and G(x) = x - 2.

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Answer:

The answer will be -5a-4

Step-by-step explanation:

Subtract 7a-12a=-5a

Add -8+4=-4

which makes the answer -5a-4

Hope this helps:)

Answer:

a = -4/5

Step-by-step explanation:

7a - 8 - 12a + 4

First, you want to put like terms together. You can rearrange the terms because of the Commutative Property.

7a - 12a - 8 + 4

I will put parentheses around the negative numbers, so it is easier to see the negative numbers.

7a (- 12a)( - 8) + 4

Now you combine the Like Terms

7a-12a     and     -8+4

- 5a - 4

Now you need to get the term with a all by itself on the other side of the equals sign. You can do this by adding the term over to the other side.

-5a - 4

+5a       +5a

Now you have

- 4 = 5a

To get the final answer you need to get a all by itself. You can do this by dividing 5 on both sides.

-4/5=5a/5

So you get

-4/5 = a

as your final answer.

Answer:

$198.75

Step-by-step explanation:

total amount spent = cost of groceries + cost of flowers

total cost of groceries = initial cost - coupon value

coupon value = 0.10 x 150 = $15

Total cost = $135

total cost of flowers = cost of flowers + tax value

tax value = 0.0625 x $60 = $3.75

total cost of flowers = $3.75 + $60 = $63.75

total amount spent = $135 + $63.75 = $198.75

Using the graph given:

1. 1. Initial height of plane A: 4 miles.

2. Plane B was 1 mile.

3. The time both planes fly at exactly the same height is: 20 seconds.

A graph illustrates the relationship between two variables, one plotted on the x-axis upon which the one plotted on the y-axis depends on.

Like in the graph shown above, the time in seconds is plotted on the x-axis as against the height in miles on the y-axis.

Each point on the graph, (x, y) shows the height (y) of the plane after some seconds (x).

Therefore:

1. The initial height of plane A is at 4 miles.

2. After 40 secs, the height of plane B was 1 mile.

3. The point where the two lines intersect shows when the time and height of both planes are the same. Therefore, at 20 seconds, both planes were flying at the same height of 3 miles.

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