Solve by completing the square:
x^2 + 4x - 5 = 0

Answer:

c

Step-by-step explanation:

The deviation from the mean for the data point 27 in a data set with mean 30 is -3.

In mathematics, the deviation from the mean of a data set is a measure of the distance between each data point and the mean. It is obtained by subtracting the mean from the data point. In this case, the mean of the data set is given as 30. To find the deviation from the mean for the data point 27, you simply subtract 30 (the mean) from 27 (the data point).

So 27 - 30 = -3

This means the deviation from the mean for the data point 27 is -3 which corresponds to option b.

https://brainly.com/question/7581115

#SPJ2

Transformation involve moving a point away from its original location.

The vertices of the pre-image are (–1, 0) and (–1, –5).

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

The rule is given;

[tex]r_{y = x} T_{4,0(x,y)}[/tex]

The rule means that

ABCD was translated by 4 units to the right, then reflected over line y = x,

The rule of right translation by 4 units,

(x, y) --- (x+4, y)

The rule of reflection over,

(x, y) --- ( y, x+ 4)

The coordinates of A"B"C"D" are: (-4, 5), (-1, 5), (0, 3), (-5, 3).

Hence, the vertices of the pre-image are (–1, 0) and (–1, –5).

Read more about transformation at:

brainly.com/question/13801312

#SPJ2

Final Answer:

After 5 years, the account balance would be approximately $11,541.20.

Explanation:

To calculate the account balance for a certificate of deposit that has an initial amount of $10,000.00, with an annual interest rate of 2.89% compounded monthly over 5 years, we must use the compound interest formula:

[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]

where:
- A is the amount of money accumulated after t years, including interest.
- P is the principal amount, which is the initial amount of money ($10,000.00 in this case).
- r is the annual interest rate in decimal form (2.89% or 0.0289 in this case).
- n is the number of times that interest is compounded per year (12 times per year for monthly compounding).
- t is the time the money is invested for, in years (5 years in this case).

Firstly, we convert the annual interest rate from a percentage to a decimal by dividing by 100:

r = 2.89% = 0.0289

Now we substitute the given values into the formula:

[tex]\[ A = \$10,000.00 \left(1 + \frac{0.0289}{12}\right)^{12 \cdot 5} \][/tex]

We calculate the rate per period by dividing the annual interest rate by the number of compounding periods per year:

[tex]\[ \frac{0.0289}{12} = 0.00240833 \][/tex] (rounded to 8 decimal places for precision)

Now calculate the growth factor:

[tex]\[ \left(1 + \frac{0.0289}{12}\right) = 1 + 0.00240833 = 1.00240833 \][/tex]

This growth factor is raised to the power of 60 (since there are 12 months in a year and we are compounding for 5 years):

[tex]\[ (1.00240833)^{60} \][/tex]

Using a calculator, raise 1.00240833 to the power of 60 to get approximately:

[tex]\[ 1.00240833^{60} \approx 1.15412 \][/tex](rounded to 5 decimal places for simplicity)

Finally, multiply this result by the principal amount to find the accumulated amount:

[tex]\[ A = \$10,000.00 \times 1.15412 \approx \$11,541.20 \][/tex]

Therefore, after 5 years, the account balance would be approximately $11,541.20.

Answer:

see explanation

Step-by-step explanation:

The inscribed angle ABD is on half the central angle ACD, that is

∠ ABD = 0. × 50° = 25°

The measure of arc AD is equal to the central angle it subtends, thus

arc AD = 50°

1. The measure of inscribed angle [tex]\( \angle ABD \)[/tex] is 25 degrees. 2. The measure of arc [tex]\( AD \)[/tex] is 50 degrees.

To solve this problem, we need to understand the relationship between central angles, arcs, and inscribed angles in a circle.

1. Measure of Arc AD:

The measure of an arc created by a central angle in a circle is equal to the measure of the central angle itself. Given that the central angle [tex]\( \angle ACD \)[/tex] is 50 degrees, the measure of arc [tex]\( AD \)[/tex] is also 50 degrees.

[tex]\[ \text{Measure of arc } AD = 50^\circ \][/tex]

2. Measure of Inscribed Angle ABD:

An inscribed angle that intercepts the same arc as a central angle will have a measure that is half the measure of the central angle. In this case, the inscribed angle [tex]\( \angle ABD \)[/tex] intercepts arc [tex]\( AD \)[/tex], which has a measure of 50 degrees.

[tex]\[ \text{Measure of } \angle ABD = \frac{1}{2} \times \text{Measure of arc } AD = \frac{1}{2} \times 50^\circ = 25^\circ \][/tex]

The complete question is:

Central angle ACD of circle C has a measure of 50 degrees. What is the measure of arc AD? What is the measure of inscribed angle ABD?

1. [tex]\( \angle ABD \)[/tex] = ______.

2. arc [tex]\( AD \)[/tex] = ______.

Answer:

66

Step-by-step explanation: What i did was take and figure out the pattern which is -7 every number. Then i went and multiplied 7 x 37 and got 259. Then I took 259 and subtracted that from 339 and got 66 which should be your answer.

Answer:

0.1m/s²

Step-by-step explanation:

the explanation is in the picture

please rate and mark as brainliest

Answer:

= -18/2.25

Step-by-step explanation:

We can find the slope by using the following

m = (y2-y1)/(x2-x1)

   = (-12-6)/(3.75 - 1.5)

   = -18/2.25

Answer:

The answer to your question is the letter D.

Step-by-step explanation:

Data

Point A = (1.5, 6)

Point B = (3.75, -12)

Slope measures the steepnees of a line.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Asign values to x1, y1, x2 and y2

    x1 = 1.5  y1  = 6  x2 = 3.75  y2 = -12

-Substitution

          m = (-12 - 6) / (3.75 - 1.5)

-Simplification

          m = -18 / 2.25

-Result

         m = 8

It is possible to simplify more the result so slope = 8.

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

The easiest way to find the inverse is to switch x and y and solve for y.

y = 2x + 3

x = 2y + 3 (Switch)

x-3 = 2y (Subtract y from both sides)

x/2 - 3/2 = y (Divide both sides by 2)

Answer:

The inverse is 1/2x -3/2

Step-by-step explanation:

y = 2x+3

To find the inverse, exchange x and y

x = 2y+3

Solve for y

Subtract 3 from each side

x-3 = 2y+3-3

x-3 =2y

Divide each side by 2

x/2 -3/2 = 2y/2

1/2x -3/2 =y

The inverse is 1/2x -3/2

Answer: 978 in. squared

Step-by-step explanation:

area of the rectangle : 24 x 30 = 720

area of the two triangles combined : (9 x 12) ÷ 2 = 54 x 2 = 108

area of the triangle on top of the other triangle : (20 x 15) ÷ 2 = 150

720 + 108 +150 = 978

Answer:

Step-by-step explanation:

so you take the eight and round it so then it makes a zero and the 4 becomes a 5

Answer:

320

Step-by-step explanation:

320

As your rounding to the ten place if your number is above five you round up if its below you round down.

Answer:

84

Step-by-step explanation:

Answer:

c)   (-∞, -4] or [7,∞)

Step-by-step explanation:

x² - 3x - 28 ≥ 0

x² - 7x + 4x -28 ≥ 0

x (x - 7) + 4(x - 7) ≥ 0

(x-7) (x + 4) ≥ 0

When x value lies in (-∞, -4],  (x-7)  value will be negative and (x+ 4) will be negative. So, result will be positive

When x value lies in [7,∞),  both (x-7)  and (x+ 4) will be positive. So, result will be positive

Answer:

The answer is C) 14in.

Step-by-step explanation:

this is very easy, you just gotta do this, then that, then this, blablablabla you will get 100%

The radius of the hexagon with an apothem of 12 in is 14 inches.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

The angles of a hexagon measure 60 degrees each, since it is bisected, the angle becomes 30 degrees.

Let c represent the radius of the hexagon, hence:

cos(30) = 12/c

c = 14 in

The radius of the hexagon with an apothem of 12 in is 14 inches.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

19.6 gallons

Step-by-step explanation:

If 10 gallons of gas were used to drive 225 miles then If kareem drove on 1 gallon of gas would take 22.5 miles.

so 1 gallon=22.5 miles,441 miles=19.6 gallons because,441/22.5=19.6 gallons.

The Kareem 19.56 gallons of gas to drive 441 miles at the same rate.

To find the number of gallons Kareem to drive 441 miles at the same rate, set up a proportion based on the given information:

Miles driven / Gallons of gas = Miles to be driven / Gallons of gas

Using the values provided:

225 miles / 10 gallons = 441 miles / x gallons

cross-multiply to solve for x:

225x = 10 ×441

Dividing both sides of the equation by 225:

x = (10 ×441) / 225

Calculating the value:

x ≈ 19.56

To know more about rate here

https://brainly.com/question/25565101

#SPJ2

Answer:

B

Step-by-step explanation:

Count from the y-intercept to the next natural point. 2 up and then 3 across

Answer:

Step-by-step explanation:

Yes. n represents the number of week

Answer:

1: number of weeks

2. the payment amount for the end of week n

3: A

Answer:The correct answer is The spread is from 1966 to 1987

Step-by-step explanation:

Sam makes an error when recording by imputing the spread as being from 1966 to 1987 .If this happens ,then it will affect all other results such as the gap ,center and peak which will change

Answer:

A is the right answer

Step-by-step explanation:

I know this because i got it right on my test.

Answer:

C) translate horizontally 5 units left

Step-by-step explanation:

f(x + 5)

Is a change in domain

The graph of f(x) is shifted 5 units towards the left to obtain the graph of f(x+5)

Answer:

C

Step-by-step explanation:

When we only change the x part of the function (that is, we add, subtract, multiply, or divide something in relation to the x part of f(x)), that is called a horizontal transformation. When we change the entire function, that's a vertical transformation.

In this case, because we are only changing the x (we turn f(x) into f(x + 5)), this is a horizontal transformation. One thing to note about horizontal transformations is that they are "backwards", which means that if we add to the x, we actually move the graph in the negative direction (which is to the left), whereas if we subtract from x, we move the graph in the positive direction (which is to the right).

Here, we're adding 5 to x, which we know means that we are translating the graph of f(x) horizontally to the left 5 units.

Thus, the answer is C.

Hope this helps!

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

Answer:

look it up on google if you havent tried already. also it doesn't hurt to ask for help from someone you know.

Step-by-step explanation:

Answer:

x+5=12

x=7 aka D

Step-by-step explanation:

Hope it helps !

Final answer:

To solve the equation (x + 5) / 3 = 4 for x, multiply both sides by 3 and then subtract 5 from both sides, which yields the solution x = 7.

Explanation:

To solve the equation (x + 5) \/ 3 = 4 for x, we start by performing the inverse operation of the division by 3 to isolate x. We multiply both sides of the equation by 3:

3 * ((x + 5) \/ 3) = 3 * 4

Now, the equation simplifies to:

x + 5 = 12

Next, we subtract 5 from both sides of the equation to solve for x:

x + 5 - 5 = 12 - 5

Which gives us:

x = 7

So the answer to the equation is D) 7.

Step-by-step explanation:

The sum of the square of a number and 7 times a number

The phrase a number means an arbitrary variable, let's call it x.

x

Square the number:

x^2

7 times the number means we multiply x by 7:

7x

The sum means we add x^2 and 7x

x^2 + 7x

Answer:

The answer is x² + 7x + 10 = 0.

Step-by-step explanation:

First, you have to make an expression. By reading the question, we can make it :

Let number = x,

Square of a no,

x²

7 times a no,

7 × x

= 7x

And means ADD equals to -10,

x² + 7x = -10

x² + 7x + 10 = 0

(By forming an equation, you have to let expressions equals to 0, so I add 10 to both sides in order to get rid of -10)

In a coordinate plane, the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

A line has a slope of Negative one-half and a y-intercept of –2.

m = – 1/2

c = – 2

The equation of line will be

                y = –(1/2)x – 2

1/2x + y + 2 = 0

  x + 2y + 4 = 0

For the x-intercept, the value of y will be zero.

x + 2y + 4 = 0

Put x = 0, then the value of y will be

x + 2(0) + 4 = 0

         x + 4 = 0

               x = –4

Then the x-intercept of the line x + 2y + 4 = 0 will be (–4, 0).

The equation of the line is drawn in the graph.

It can be clearly observed the line intersect at (-4, 0) and (0, -2).

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ2

Answer:

-4 is the answer

Step-by-step explanation:

Answer:

9x(2x + 1)

Step-by-step explanation:

Looking at the two terms, notice that you can write the first term as:

18x² = 9x * 2x

Then, we can see that the first term and second term both have 9x in them. That means 9x is a common factor, so we can take it out from both of them ("take it out" basically means "divide"):

18x² + 9x = 9x * 2x + 9x = 9x * (2x + 1)

Thus, the factored form is 9x(2x + 1).

Hope this helps!

Answer:

C(3,3)

Step-by-step explanation:

Answer:

(1,80)

Step-by-step explanation:

hope i am being a good help