Simplify the expression shown below:

log(10^6 * x^2), where x > 0

Answer:

68 pounds a month

Step-by-step explanation:

so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.

Answer:

$92.60

Step-by-step explanation:

7($5.99) + 7($6.49)=$41.93

$41.93 + $45.43  = $87.36

$87.36 + ($87.36 × 6%=0.06)

$87.36 + (0.06 × $87.36=5.24)

$87.36 + $5.24= $92.60

Answer:

1/10

Step-by-step explanation:

the no of different probabilities = 6*5 = 30

no of times E can come with an even no = 3

so 3/30=1/10

Answer:

Height between ground and truck = 5.5 feet

Step-by-step explanation:

Given:

Angle of elevation = 30°

Length of the ramp = 11 feet

Find:

Height between ground and truck

Computation:

Length of the ramp = Hypotenuse

Height between ground and truck = Perpendicular

Sin θ = Perpendicular / Hypotenuse

Sin 30 = Height between ground and truck  / Length of the ramp

0.5 = Height between ground and truck  / 11

Height between ground and truck = 0.5 x 11

Height between ground and truck = 5.5 feet

Answer:

7.8km, so if it was rounding, your answer would be 8

Step-by-step explanation:

Answer:

19/18

Step-by-step explanation:

ii put it inna calculator

Answer:

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

rs-st= what is being added or subtracted, divided or mulitplied

This is Right answer.....

I hope you understand.....

Thanks....

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

[tex] \sqrt{3} \div 2[/tex]

Step-by-step explanation:

there are multiple ways to get to the result. and it took me a little while to figure out your symbolic. I am not sure about the context of your problem, so I try to give you 2 ways.

1. similar triangles.

they have the same angles, and therefore the change factor for their side lengths (to change from one similar triangle to the other) must be the same for all sides.

tan of an angle is the length of the outside tangent touching the circle starting at x=1,y=0 and going up perpendicular all the way until it crosses the line from the center of the circle enclosing the angle.

so, we have one triangle of the corners ABC, where A=(0,0), B=(1,0), C=(1,tan of the angle = sqrt(3)).

and we have a similar triangle ADE, where A=(0,0), D=(cos of the angle=1/2,0), E=(1/2,m).

we know because of the described similarity that the sides BC and DE must have the same ratio as e.g. AB and AD.

AB=1, AD=1/2, so the ratio AD/AB = 1/2.

now, BC=sqrt(3). DE=m and must follow the same ratio as AD/AB. DE/BC=1/2.

=> m/sqrt(3)=1/2 => m=sqrt(3)/2

2. circle equation : x^2 + y^2=r^2

x=1/2, y=m, r=1

(1/2)^2 + m^2 = 1^2 (= 1)

1/4 + m^2 = 1

m^2 = 3/4

m = sqrt(3)/sqrt(4) = sqrt(3)/2

No 4 is not a factor of 93 :)

let me know if this helped<3

Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor

Answer:

No.

Step-by-step explanation:

The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.

Answer:

the shape would be a triangle

Step-by-step explanation:

any horizontal slice would create a triangle

Answer:

asasasdcvxcvszs

Step-by-step explanation:dsadsdasz

Answer:

x = 748 inches

Step-by-step explanation:

.0254 meters in 1 inch

set up a proportion:

.0254/1 = 19/x

cross-multiply:

.0254x = 19

x = 19/.0254

x = 748.03

Answer:

3rd option

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 1, - 25 ) , then

f(x) = (x - (- 1) )² - 25 , that is

     = (x + 1)² - 25 ← expand using FOIL

     = x² + 2x + 1 - 25

     = x² + 2x - 24

Answer:

Rectangle area:

Given:

Find w:

Perimeter is the sum of side lengths:

P = 2 1/4 + 5 2/5 + 5 17/20 =

     2 + 5 + 5 + 1/4 + 2/5 + 17/20 =

     12 + 5/20 + 8/20 + 17/20 =

     12 + 30/20 =

     12 + 1.5 =

     13.5 ft

Total cost:

[tex]\sf\implies{x^{2}=7^{2}+7^{2}~~~~~~~~(Pythagoras~theorem)}[/tex]

[tex]\sf\implies{x^{2}=49+49}[/tex]

[tex]\sf\implies{x^{2}=98}[/tex]

[tex]\sf\implies{x={\sqrt{98}}}[/tex]

[tex]\sf\implies{x={\sqrt{49×2}}}[/tex]

[tex]\sf\implies{x={\underline{\boxed{\sf{\pmb{7{\sqrt{2}}}}}}}}[/tex]

using Pythagorean theorem

a²+b²=c² where 'a'&'b' are legs of the right angle triangle and 'c' is the hypotenuse of the right angle triangle

here two legs are given (7,7) and x is the hypotenuse

=>a²+b²=c²

=>7²+7²=x²

=>x²=49+49

=>x²=98

=>√x²=√98

=>x=7√2

I hope it helps have a great day

Answer:

About 1.23 standard deviation above the mean

Step-by-step explanation:

From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation

That would be through calculating the z score as follows;

z-score = (x - mean)/SD

where x is the given value

z-score = (87-71)/13 = 1.23

Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

(5x + 11x + 3x) - (7 + 4 - 1) = 180

19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

                                = 30°

(11x - 4)° = 110 - 4

              = 106°

(5x - 7)° = 43°

Therefore, Option (1) will be the correct option.

Answer:

x-intercept is at (9, 0)

y-intercept is at  (0, 6).

Step-by-step explanation:

The x intercept occurs when y = 0:

2x + 3*0 = 18

2x = 18

x = 9,

y-intercept, when x = 0:

2(0) + 3y = 18

y = 6.

[tex]_____________________________________[/tex]

[tex]_____________________________________[/tex]

Answer:

160 minutes

Step-by-step explanation:

Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120

120 + 40 = 160

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

Answer:

8.60

Step-by-step explanation:

the diagram is optically misleading.

how can the 5 side be longer than the 7 side ?

but ignore that.

the important thing is that this is a triangle with a 90 degree angle.

so, we use Pythagoras' formula : a^2 + b^2 = c^2

we know a and b as 7 and 5.

so, the equation is 7^2 + 5^2 = c^2

=> 49 + 25 = c^2

=> 74 = c^2

=> the missing side length c is

[tex] \sqrt{74} = 8.60[/tex]

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

Answer:

Equation to find the slope

[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]

y=-3x

hope that answers your question

Step-by-step explanation:

Answer: C. y = -3x

Step-by-step explanation:

Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.

Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.

Answer:

Exact form:

[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]

Step-by-step explanation:

Take the root of both sides and solve.

Answer:

No

Step-by-step explanation:

Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides

Answer:

No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.