In need of some major help!!

Step-by-step explanation:

A good example that comes to find is the fuel gauge found on a car, this gauge allows the driver to monitor the percentage of fuel left in the car.

Let's assume the car fuel tank has a capacity of 100 liters. if the indicator is showing half-filled, to illustrate this in percentage it is written as 50% while decimal it will be 0.5.

Answer:

You spent $1349

Step-by-step explanation:

sweaters s = $29

t-shirts t = $16

pants p = $25

Cost = C

28s + 7t + 17p = C

28 ($29) + 7 ($16) + 17 ($25) = C

$812 + $112 + $425 = C

$1349 = C

Answer:

-3.4 = (-17 /5) = -3 2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.

To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.

Given x² + (y² +6y) + 2 = 0

First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e [tex](\frac{1}{2}*6) ^2[/tex] to the equation and adding the constant to the other side of the equation as well.

x² + (y² +6y) + 2 = 0

[tex]x^2+(y^2+6y+(\frac{1}{2}*6) ^2)+2 = 0+(\frac{1}{2}*6) ^2\\x^2+(y^2+6y+(3) ^2)+2 = 0+3 ^2\\x^2+(y^2+6y+9)+2 = 0+9\\x^2+(y+3)^2+2 = 9\\x^2+(y+3)^2+2-2 = 9-2\\x^2+(y+3)^2 = 7\\(x-0)^2+(y+3)^2 = 7\\[/tex]

Hence the equation represents a circle with centre C at (0, -3) and radius of √7

Answer:

x=1 or x=5

Step-by-step explanation:

x2−6x+5=0

Step 1: Factor left side of equation.

(x−1)(x−5)=0

Step 2: Set factors equal to 0.

x=1 or x=5

Answer:

25%

Step-by-step explanation:

Answer:

1.00-.35=.65

.65×140.00=$91.00

Answer:

P prime would be (-12, -7)

Answer:

x=23

Step-by-step explanation:

Answer:

0.00000014 x

Step-by-step explanation:

Answer:

X * 12 = 9

Step-by-step explanation:

The required model of the given situation is given as y = 9 (x + 12).

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
the product of 9 and the sum of the number x and 12 is given as
Let the product is equal to y
y = 9 (x + 12)

Thus, the required model of the given situation is given as y = 9 (x + 12).

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Answer:

3550

Step-by-step explanation:

I hope this helps!

Answer:

3550

Step-by-step explanation:

Round each number: 709 ⇒ 700, 645 ⇒ 650, 798 ⇒ 800, 704 ⇒ 700, 658 ⇒ 700

Add the rounded numbers: 700 + 650 + 800 + 700 + 700

Start slow: 700 + 650 = 1350

1350 + 800 = 2150

2150 + 700 = 2850

2850 + 700 = 3550

Answer:

1,49 10^8 Km²

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

9-3=6

Since -3 is in (), you can just do 9-3 easily

Answer:

My answer to the question is 6.

9+(-3)=9-3=6.

Answer:

there are 4 quarts in a gallon so therefore the glasses are half a quart

Step-by-step explanation:

yes

Answer:34

Step-by-step explanation:

i just did it

Answer: the number of feet needed after the change is 493 Feet

Step-by-step explanation:

you’re welcome

=====================================================

Explanation:

The number of points goes down by 1 each time.

The first figure has 4 points on the circle. The second figure has 3 points, and after that is 2 points. So the fourth figure is mostly likely to have 1 point on the circle.

The next step in the circular series is Option C with a point on the circle

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the first figure be represented as A

A = figure with a rectangle with 4 points on the circle

Let the second figure be represented as B

B = figure with a triangle with 3 points on the circle

Let the third figure be represented as C

C = figure with a line with 2 points on the circle

Let the next series be represented as D

where D should have only 1 point on the circle

Hence , the figure is Option C with a point on circle

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Answer:

Step-by-step explanation:

y -6 = -3(x + 1)

y - 6 = -3x - 3

y = -3x + 3

Answer:

false or not true

Step-by-step explanation:

5x + 8x < 4x + -7

combine like terms

13x<4x+-7

4x divided by 4  -7 divided by 4

x= -7/4

13x<-7/4

Answer:

[tex]n=26[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-413.4=-15.9n[/tex]

To figure out the value of n, divide both sides by -15.9. The right will cancel. Thus:

[tex]n=(-413.4)/(-15.9)[/tex]

Use a calculator:

[tex]n=26[/tex]

So, the answer is 26.

So, yes, you are very correct!

Answer:

n=26

Step-by-step explanation:

We are given the equation:

[tex]-413.4=-15.9n[/tex]

We want to solve for the unknown variable, which is n. Therefore, we must isolate n on one side of the equation.

n is being multiplied by -15.9. The inverse of multiplication is division. Divide both sides of the equation by -15.9

[tex]\frac{-413.4}{-15.9} =\frac{-15.9n}{-15.9}[/tex]

[tex]\frac{-413.4}{-15.9}=n[/tex]

[tex]26=n[/tex]

Let's check our solution. Plug 26 in for n and solve.

[tex]-413.4=-15.9n[/tex]

[tex]-413.4=-15.9(26)[/tex]

Multiply -15.9 and 26.

[tex]-413.4=-413.4[/tex]

This checks out, so we know our solution is correct.

The solution to this equation is n=26 and you are correct!

Answer:

The numbers are 25 and 26.

Step-by-step explanation:

When you multiply 25 with 26 you get their product, 650. And when you add them you get the answer 51.

Answer:

127.88

Step-by-step explanation:

=>23/100*556

=>127.88

Answer:

127.88

Step-by-step explanation:

23 x 556   = 127.88

100

Answer:

C. -5

Step-by-step explanation:

Imagine a number line from -15 to 15.

Start at 15, and go left for 30 hops, since we are subtracting. This gives us -15.

Now, start at -15. We go right for 10 hops since we are adding. Where do we land? -5. Thus giving us our answer.

Or you can do it this way:

15-30= -15

-15+10= -5

-5

I hope this helped!

Answer:

[tex]\displaystyle \int \sec\left(\frac{x}{2}\right)\tan^5\left(\frac{x}{2}\right)dx=\frac{2\sec^5\left(\dfrac{x}{2}\right)}{5}-\frac{4\sec^3\left(\dfrac{x}{2}\right)}{3}+2\sec\left(\frac{x}{2}\right)+C[/tex]

Step-by-step explanation:

We want to find the integral:

[tex]\displaystyle \int \sec\left(\frac{x}{2}\right)\tan^5\left({\frac{x}{2}\right)dx[/tex]

First, perform the substitution y = x / 2. This yields:

[tex]\displaystyle dy = \frac{1}{2} \, dx \Rightarrow dx = 2\, dy[/tex]

Hence, the integral becomes;

[tex]\displaystyle =2\int \sec y\tan^5 y \, dy[/tex]

Next, as you had done, let's expand the tangent term but to the fourth:

[tex]\displaystyle =2\int \sec y\tan^4 y\tan y\, dy[/tex]

Recall that:

[tex]\tan^2(y)=\sec^2(y)-1[/tex]

Hence:

[tex]\displaystyle =2\int \sec y(\sec^2 y-1)^2\tan y\, dy[/tex]

We can use substitution once more. This time, let u = sec(y). Hence:

[tex]\displaystyle du = \sec y \tan y \, dy[/tex]

Rewrite:

[tex]\displaystyle =2\int \left((\sec^2y-1)^2\right)\left(\sec y \tan y\right)dy[/tex]

Therefore:

[tex]\displaystyle = 2\int (u^2 - 1)^2\, du[/tex]

Expand:

[tex]\displaystyle =2\int u^4-2u^2+1\, du[/tex]

Reverse Power Rule:

[tex]\displaystyle = 2\left(\frac{u^5}{5} - \frac{2u^3}{3} + u\right) + C[/tex]

Simplify:

[tex]\displaystyle = \frac{2u^5}{5} - \frac{4u^3}{3} + 2u + C[/tex]

Back-substitute:

[tex]\displaystyle = \frac{2\sec^5 y }{5}-\frac{4\sec^3 y}{3}+2\sec y+C[/tex]

Back-substitute:

[tex]\displaystyle =\frac{2\sec^5\left(\dfrac{x}{2}\right)}{5}-\frac{4\sec^3\left(\dfrac{x}{2}\right)}{3}+2\sec \left(\frac{x}{2}\right)+C[/tex]

Therefore:

[tex]\displaystyle \int \sec\left(\frac{x}{2}\right)\tan^5\left(\frac{x}{2}\right)dx=\frac{2\sec^5\left(\dfrac{x}{2}\right)}{5}-\frac{4\sec^3\left(\dfrac{x}{2}\right)}{3}+2\sec\left(\frac{x}{2}\right)+C[/tex]

Answer:

= 2 (sec (x/2) - 2sec³(x/2) +  sec⁵(x/2) ) + C

                              3                     5

Step-by-step explanation:

∫sec(x/2) tan⁵(x/2) dx

apply u substitute u = x/2

= ∫sec(u) tan⁵(u) * 2du

= 2 *  ∫sec(u) tan⁴(u) tan(u) du

= 2 *  ∫sec(u) (tan²(u))² tan(u) du

= 2 *  ∫sec(u) (-1 + sec²(u))² tan(u) du

apply u substitute v = sec(u)

= 2 * ∫(-1 + v²)² dv

expand

= 2 * ∫1 - 2v² + v⁴ dv

sum

= 2 (v - 2v³ + v⁵ )

             3      5

substitute it back

= 2 (sec (x/2) - 2sec³(x/2) +  sec⁵(x/2) )

                              3                     5

add constant to the solution.

= 2 (sec (x/2) - 2sec³(x/2) +  sec⁵(x/2) ) + C

                              3                     5

Answer:

21

Step-by-step explanation:

The answer is negitive 21 becuase it you sub and

After conducting some mathematical operations, we can conclude that Florida is warmer than Texas by 21°F.

So, Florida is warmer than Texas by:

Now, calculate as follows:

Therefore, after conducting some mathematical operations, we can conclude that Florida is warmer than Texas by 21°F.

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Answer:

31xy

Step-by-step explanation:

28xy + 3xy = 31xy

Answer:

(a) Shown below

(b) Positively Skewed

(c) No Outlier

(d) 15%

Step-by-step explanation:

Arrange the data set in ascending order as follows:

S = {5.7 , 6.2 , 6.3 , 6.5 , 6.8 , 6.8 , 7 .0, 7 .0, 7.2 , 7.3 , 7.4 , 7.6 , 7.7 , 7.7 , 7.8 , 7.8 , 7.9 , 8.1 , 8.2 , 8.7 , 9 .0, 9.7 , 9.7 , 10.6 , 11.5 , 11.6 , 11.8}

(a)

Construct a stem-and-leaf display of the data as follows:

5 | 7

6 | 2  3  5  8  8

7 | 0  0  2  3  4  6  7  7  8  8  9

8 | 1  2  7

9 | 0  7  7

10 | 6

11 | 5  6  8

The representative strength value is the mid-value.

The mid-value is: 7.7

Thus, the representative strength value is 7.7.

(b)

No, the data does not appear to be highly concentrated about the representative value or rather spread out.

As we take the stem-and-leaf plot into consideration we observe that most of the observations are concentrated towards the right of the graph.

So, the data is right or positively skewed.

(c)

No, there doesn't appear to be any outlying strength values.

This is because all the values are closer to each other and none of the observations are too extreme.

(d)

The number of observations more than 10 MPa is, 4.

Total number of observations, 27.

Compute the proportion of strength observations that exceed 10 MPa as follows:

[tex]P(>10\ \text{MPa})=\frac{4}{27}=0.14815\approx 0.15[/tex]

Thus, the proportion of strength observations that exceed 10 MPa is 15%.