Write each decimal as a fraction in simplest terms

Answer:

x = -6

Step-by-step explanation:

Answer:

[tex]4300 + 100x[/tex]

Step-by-step explanation:

The [tex]4300[/tex] represents the base amount of steps she took during work. Even if she jogs 0 minutes, this will not change.

The [tex]100x[/tex] represents how many steps she will take from jogging. The [tex]100[/tex] is how many steps she will take per minute, and the [tex]x[/tex] is the number of minutes she will jog.

Adding these together will give us our function [tex]4300 + 100x[/tex] to see how many steps she will log.

That is the answer

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Answer:

Step-by-step explanation:

39-27=12

51-39=12

63-51=12

It’s clear that ,in this sequence we add 12 each time to a term to get the next term.

This means that this is an arithmetic sequence with a common difference of 12.

Therefore,

Term1 = 27  ; Term2 = 39  ; Term3 = 51  ; Term4 = 63

Term5 = 75

Term6 = 87

Term7 = 99

Term8 = 111

Method 2 :

Un = U1 + (n-1)r

r is the common difference = 12

U1 = 27 is the first term

Then

U8 = 27 + (8-1)×12

     = 27 + 7×12

     = 27 + 84

     = 111

Answer:

sin

Step-by-step explanation:

sin=O opposite/hypotenuse

Answer:

-4+(-9)

Step-by-step explanation:

if you have two negatives in an equation next to each other like -4-9 then it is basically adding the two but will just equal a negative sum

Answer:

251,991 tons of ore are need to obtain 126 tons of gold.

Step-by-step explanation:

Answer:

2.57 or rounded to 1 sig digit just 3

Answer:

[tex]\displaystyle \binom{-8}{6}[/tex]

Step-by-step explanation:

The car's starting position is 2 miles south of the town center.  If it travels 6 miles north, then it will be 4 miles north of the town center.

The car's starting position is 5 miles east of the town center.  If it travels 8 miles west, it will be 3 miles west of the town center.

Therefore, its final position is 4 miles north and 3 miles west of the town center.

If the car travels 6 miles north from it's starting position, the y-value of the vector will be 6, as the car is moving in a positive direction along the y-axis.

If the car travels 8 miles left, the x-value of the vector will be -8, as the car is moving in a negative direction along the x-axis.

Therefore, the single translation vector that moves the car from its starting position to its final position is:

[tex]\displaystyle \binom{x}{y}=\binom{-8}{6}[/tex]

Answer:

[tex](0, 2)[/tex]

Step-by-step explanation:

From the image (or by just looking at the equations and know what each part represents) you can tell the solution is (0;2)

Analitically, you already have them in a [tex]y=\square[/tex] form, so let's compare the two RHSs: [tex]2x+2=-x+2 \rightarrow 3x=0 \rightarrow x=0[/tex]. Let's replace the value in either to find [tex]y=0[/tex]

Answer:

a. power of a point

b. CE = 4.6

Step-by-step explanation:

a. the power of a point theorem states that BE*BC = BA*BD

b. using the equation above, find CE:

BE * 10 = 3 * 18

BE = 5.4

CE = BC - BE = 10-5.4 = 4.6

The parts of the cone can be explained as;

A cone can be regarded as a three-dimensional shape which has a vertex at the top of it.

Considering a cone as described in the question, we could see that the distance from point A to B will gives us the height which is the vertical length.

Therefore, Vertex is at the top of the cone which is point A.

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Answer:

b

c

d

a

Step-by-step explanation:

;)

Answer:

i think it's 37.7

Step-by-step explanation:

Two triangles are said to be similar when; two of their corresponding angles are the same angle measure.

A triangle is a polygon with three sides and three angles.

Types of triangles

Two triangles are said to be similar if two pairs of their corresponding angles are congruent. This is because if two pairs of angle are the equal, then the third pair must also be equal.

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Answer:

2x/z+y

Step-by-step explanation:

Answer:

x = 26, y = 120

Step-by-step explanation:

First we will find x.

We know that 3x-18 = 2x+8 because they are corresponding angles

Now we can solve for x

3x-18 = 2x+8 | subtract 2x from both sides

x-18 = 8 | add 18 to both sides

x = 26

Now we can find y. We know that 3x-18 and y are supplementary (add up to 180) since they are a linear pair (adjacent angles that form a line)

This means we can solve for y using the following :

3x-18 + y = 180 | substitute x for 26

3(26)-18 + y = 180 | simplify

60 + y = 180 | subtract 60 from both sides to isolate y

y = 120

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Answer:

  A (correctly marked)

Step-by-step explanation:

The graph of g(x) = f(2x) will be the graph of f(x) horizontally compressed by a factor of 2. The horizontal compression moves each point on f(x) to a distance half as far from the y-axis.

__

The graph of f(x) shows a vertical asymptote at x=2 so the graph of g(x) will have a vertical asymptote at x=1. Only Graph A shows a vertical asymptote at x=1.

Step-by-step explanation:

if you could solve 3a and 3b, you can also solve 3c. it is the same principle.

x-intercepts means y = 0.

remember, a square root has always 2 results : a positive and a negative one.

3c

0 = -(x - 3)² + 25

(x - 3)² = 25

x - 3 = ±5

x1 = +5 + 3 = 8

x2 = -5 + 3 = -2

3a

0 = (x + 1)² - 4

4 = (x + 1)²

±2 = x + 1

x1 = +2 - 1 = 1

x2 = -2 - 1 = -3

3b

0 = (x + 2)² - 9

9 = (x + 2)²

±3 = x + 2

x1 = +3 - 2 = 1

x2 = -3 - 2 = -5

The goat race is 324.25 meters longer than the ant race .

The goat race is 325 meters long. The ant race is 75 centimetres long.

The goat race is in meters while the ant race is in centimetres.

Let's convert the ant race to meters.

Hence,

1 cm  = 0.01 m

75 = ?

cross multiply

Ant race = 0.75 meters

Therefore, let's find the difference between the goat race and the ant race.

325 - 0.75 = 324.25 meters.

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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.

So=75 cm ÷ 100 = 0.75 m

Step-by-step explanation:

Step 2: Determine how much longer the goat race is than the ant race in meters.  

o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.

Remember to line up the decimal points and add zeros as plac

eholders. The difference of 325 and 0.75 is 324.25.

The goat race is 324.25 meters longer than the ant race.

Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4

An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.

Algebraic expression for Mat A is: 4x + 3

Algebraic expression for Mat B is: 2x + 11

We would have the following algebraic equation:

4x + 3 = 2x = 11

Solve for the value of x

4x - 2x = 11 - 3

2x = 8

x = 8/2

x = 4

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The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

Considering the coefficient a, we have that:

In this problem, the height of the ball is given by:

f(t) = -16t² + 96t + 112.

Hence the coefficients are a = -16 < 0, b = 96, c = 112, and the coordinates of the vertex are:

The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.

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Answer:

4meters

Step-by-step explanation:

friend ,for you to calculate this question you have to know the formula which is 1/2 h (a + b) x height. then use the procedure written in the picture of which you should end up dividing as I have then you will eventually get your answer but the key point is that you should know the formula and the number at the right side is the one dividing the area (37.4) not the area dividing the number at the right side which is 9.35 good day.

A confidence interval is the mean of the estimate plus and minus the variation in that estimate.

From the excel, Confidence.T(0.10,1.45,15)

Margin of error = 0.659414066

Lower limit will be;

= mean-0.659414066

= 5.3 - 0.659414066

= 4.640585934

Upper limit will be:

= mean+0.659414066

= 5.3+0.659414066

= 5.959414066

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Observe that

y = x² - 2kx = x (x - 2k)

has roots at x = 0 and x = 2k. Since the leading coefficient is 1 > 0, the parabola opens upward, and in particular this means the x-axis lies above the curve.

We can compute the area of R by integrating:

[tex]\displaystyle \int_0^{2k} |x^2-2kx| \, dx = - \int_0^{2k} (x^2-2kx) \, dx \\\\ = kx^2 -\frac{x^3}3 \bigg|_{0}^{2k} \\\\ = \frac{4k^3}3[/tex]

Solve for k :

[tex]\dfrac{4k^3}3 = 36 \implies k^3 = 27 \implies \boxed{k=3} ~~~~ (B)[/tex]

Answer:

1 hour and 30 minutes

[tex]t = ch + td = fh[/tex]

where ch is current hour, td is time distance, and fh is final hour.

to find td, we must subtract the number of minutes in ch and fh and then base how many hours passed off of the minutes.

[tex]cm(45) - fm(15) = 30[/tex]

If half an hour passed, we can guess that only another hour passed, therefore we can make a final equation using eh for "estimated hour".

[tex]t = (cm - fm) + eh = 1:30[/tex]

Answer:

The expression becomes 3(x+5) = 3x+15

Answer:

n = ±0.13363

Step-by-step explanation:

2/8 - (14*n*(n))=0                                              • Use this formula for proof

2/8 = 1/4                                                            A^2 - AB + BA - B^2 =

1/4 - 14n^2 = 0                                                   A^2 - AB + AB - B^2 =

14n^2 = 14n^2 ÷ 1 = 14n^2 • 4 ÷ 4                      A^2 - B^2

1 - (14n^2 • 4) ÷ 4 = 1 - 56n^2 ÷ 4

1 - 56n^2 ÷ 4 = 0

1-56n2 ÷ 4 • 4 = 0 • 4

1-56n^2  = 0

56n^2 = 1

n^2 = 1/56 = 0.018

n ≈ ±0.13363

Answer:

2,160 mm³

Step-by-step explanation:

Q5