what is (-4, -2) reflected across the Y-AXIS

Answer:

x-intercept is [tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

The x-intercept is the Value of x when y = 0

So for our Equation , 8x + 8y = -1

At y = 0 , 8x + 0 = -1

Then 8x = -1

Then x = -1/8

If a straight line has a gradient of 3 and passes through a point (2, 10), then the equation of the line is [y = (3x + 4)].

As per the question statement, a straight line has a gradient of 3 and passes through a point (2, 10),

And we are required to determine the equation of the above mentioned line.

To answer this question, we need to know the formula to determine the equation of a straight line having a known slope, say "m", and passing through a known point, say (x₁, y₁), which goes as,

[(y - y₁) = {m(x - x₁)]

Here, since our concerned line has a gradient of 3, i.e., (m = 3), and passes through a point (2, 10), i.e., [(x₁, y₁) = (2, 10)], using these values in the above mentioned formula to determine the equation of a straight line having a known slope and passing through a known point, we get,

[(y - 10) = {3(x - 2)}]

Or, [(y - 10) = (3x - 6)]

Or, [y = 3x + (10 - 6)]

Or, [y = (3x + 4)]

That is, the equation of a straight line having a gradient of 3 and passing through a point (2, 10) is [y = (3x + 4)].

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A horse trainer records the distance a horse travels during three different trials.

The horse's average speed = 0.3 kilometers per minute.

Given the following data:

Time 1 = 15 minutes

Time 2 = 30 minutes

Time 3 = 45 minutes

Distance 1 = 4.5 kilometers

Distance 2 = 9.0 kilometers

Distance 3 = 13.5 kilometers

To determine the horse's average speed in kilometers per minute:

First of all, we would find the total time and total distance covered:

For total time:

Total Time = 15+30+45

Total time = 90 minutes

For total distance:

Total Time = 4.5+9.0+13.5

Total time = 27 kilometers.

Mathematically, average speed is given by the formula:

[tex]Average speed = \frac{Total Distance}{Total Time}[/tex]

[tex]Average Speed = \frac{27}{90}[/tex]

Hence, the answer is the horse's average speed = 0.3 kilometers per minute.

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To solve 1/2bh, you can put up the values in the formula and find the area of the triangle.

What is the area of the triangle?

In a two-dimensional plane, the area of a triangle is the region enclosed by it. As we all know, a triangle is a closed shape with three sides and three vertices. Thus, the area of a triangle is the total space occupied by the triangle's three sides. The general formula for calculating a triangle's area is half the product of its base and height.

The given formula is 1/2bh

so this is the formula for finding out the area of the triangle where 'B' is the base of the triangle and H is the height of the triangle.

To solve 1/2bh, you can put up the values in the formula and find the area of the triangle.

Hence, to solve 1/2bh, you can put up the values in the formula and find the area of the triangle.  

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By using the concept of Depreciation, it is obtained that

Warrem's body  metabolize half of the 84 mg of caffeine in 4.71 hours

What is Depreciation?

Depreciation is the reduction in the value of a product at a certain rate over a certain period of time.

Here the concept of Depreciation has been used

Let the time taken to metabolize half of the 84 mg of caffeine be t hours

Damien's body metabolizes caffeine at a rate of 13.7% per hour

By the problem,

[tex]84(1 - \frac{13.7}{100})^t = 42\\\\(1 - \frac{13.7}{100})^t = \frac{42}{84}\\\\(1 - \frac{13.7}{100})^t = \frac{1}{2}\\\\(\frac{100 -13.7}{100})^t = \frac{1}{2}\\\\(\frac{86.3}{100})^t = \frac{1}{2}\\\\(\frac{863}{1000})^t = \frac{1}{2}\\\\t(ln(\frac{863}{1000}) = -0.693\\\\-0.147t = -0.693\\\\t = \frac{0.693}{0.147}\\\\t = 4.71 \ hours[/tex]

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By translating the pre-image triangle CRT with this translation rule (x, y) →  (x + 2, y - 4), the coordinates of the image triangle C'R'T' are: C' (-2, -2), R' (-3, -5), and T' (3, -3).

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image or parent function.

Note: Each interval on this graph represents 1 unit.

Next, we would transform triangle CRT by using this translation rule (x, y) →  (x + 2, y - 4) to create the vertices of triangle C'R'T' as follows:

(x, y)                    →        (x + 2, y - 4)

Point C (-4, 2)     →       Point C' = (-4 + 2, 2 - 4) = (-2, -2)

Point R (-5, -1)     →       Point R' = (-5 + 2, -1 - 4) = (-3, -5)

Point T (1, 1)         →       Point T' = (1 + 2, 1 - 4) = (3, -3)

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Answer:

y=-6

Step-by-step explanation:

this is because y equal to 7 is flat so for it to be parallel the other line also has to be flat so the line will be passing through the same y value for the entire time which is -6

Hopes this helps pleae mark brainliest

Non-response bias can occur when subjects who refuse to take part in a study, or who drop out before the study can be completed, are systematically different from those who participate.

Hence,Non-response bias can occur when subjects who refuse to take part in a study, or who drop out before the study can be completed, are systematically different from those who participate.

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Answer:

After taking cubes from each corner,no edge will

Answer:

-8

Step-by-step explanation:

y=mx+c

m=y2-y1/x2-x1

-8-0/-7-+1

-8/-8

m=1. c=-1

y=1x+-1

y=x-1

since f(-7)

y=-7-1

y=-8

Answer:

21 and 167/1000

"/" represents a fraction, so 167 over 1,000

Step-by-step explanation:

Hard to explain.

Answer: 2 1/6

Step-by-step explanation:

34.2 = 13.4 + 9.6x

34.2-13.4=9.6x

20.8=9.6x

20.8 divided by 9.6= 2.166666666

2 1/6

Answer:

1. 0.27 (with bar notation)

2. -7.6

Step-by-step explanation:

The shortest possible distance in miles between Odessa and Lubbock is 114.75 miles

Given information;

The cities of Midland, Lubbock, and Odessa make a triangle on a Texas map. Odessa is 20 miles away from Midland, and Lubbock is 113 miles away.

What is the shortest possible distance in miles between Odessa and Lubbock?

It states that a triangle is formed and the required distance is the farthest one.

So, for a triangle applying the hypotenuse theorem can solve the case,

The theorem states that the sum of the squares of the two sides is equal to the square of the other side.

D² = 20² + 113²

D² = 400 + 12769

D² = 13169

D = √13169

D = 114.75

Therefore, Odessa could be 114.75 miles from Lubbock.

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The trigonometric function tan(cos⁻¹(x/4))  evaluates to √(16 - x²) / x

To evaluate a trigonometric function?

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

Given the trigonometric function tan(cos⁻¹(x/4)) to evaluate:

tan(cos⁻¹(x/4))

Let θ = cos⁻¹(x/4)

Thus,  cos θ = (x/4)       (remember: cos θ = adjacent/hypotenuse)

We can use this information to draw a right-angled triangle as shown (image attached). Considering the triangle:

4² = x² + y²

y² = 16 - x²

y = √(16 - x²)

That means, the opposite is y = √(16 - x²)

tan θ = y/x = √(16 - x²) / x    (Since tan θ = opposite/adjacent)

tan(cos⁻¹(x/4)) = √(16 - x²) / x

Therefore, tan(cos⁻¹(x/4)) evaluates to √(16 - x²) / x

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The algebraic expression, in terms of y , for the number of stickers John has is given by 4(y + 2)

Algebra refers to the system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

The expression for the number of stickers John has = 4(y + 2)

For instance, if y = 3

Number of stickers Latika has = y + 2

= 2 + 2

= 4 stickers

Number of stickers John has = 4(y + 4?2)

= 4(3 + 2)

= 4(5)

= 20 stickers

Therefore, the expression which can be used to represent the number of stickers John has is 4(y + 2)

Complete question:

Albert has y stickers.

Latika has 2 more stickers than Albert.

John has 4 times as many stickers as Latika.

Write down an expression, in terms of y , for the number of stickers John has.

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The equation of a line y = 2 in point-slope form can be written as

(y + 1) = 0(x - 5).

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, An equation of a line y = 2 which is a line parallel to the x-axis at

y = 2.

As it is parallel to the x-axis the slope of the line is zero passing through points (5, - 1).

The equation of a line in point-slope form is (y - y₁) = m(x - x₁).

∴ (y + 1) = 0(x - 5).

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Answer:

Not factorable.

Step-by-step explanation:

4k² + 6k - 1

We can do it by the guess method.

We need two factors of 4 and two factors of -1.

4 factors into 4 and 1, 2 and 2.

-1 factors into -1 and 1.

Now we fit the factors until we find the answer.

Try: (2k - 1)(2k + 1)

Multiply it out: 4k²- 1 This is not it.

Try: (4k + 1)(k - 1)

Multiply it out: 4k² - 3k - 1 This does not work.

Try: (4k - 1)(k + 1)

Multiply it out: 4k² + 3k - 1 This does not work.

All combinations of factorizations of the coefficients were tried and none worked.

Answer: Not factorable.

The number of grains on square 13 will be 4096 grains.

No. of grains on the first square = 1 = 2^0

No. of grains on the second square = 2 = 1*2 = 2¹

No. of grains on the third square = 4 = 2*2 = 2²

No. of grains on the fourth square = 8 = 2*4 = 2³

From the pattern it could be seen that amount of wheat is doubled for every next square

So, the number of grains in the nth square = 2^n-1

Therefore, No. of grains on 13th square

= 2^13 -1

= 4096

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Answer: 47 dollars

Step-by-step explanation: 100 cents makes a dollar 4700/100= 47

Using compound interest formula, the the amount after 5 years is  $15,095.39

The total amount a college student has in a saving account if 13000 dollars was invested and earned 3% compounded quarterly for 5 years can be calculated as follows:

Therefore,

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

where

Therefore,

p = 13000 dollars

t = 5 years

n = 4

r = 3% = 0.03

Therefore,

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

[tex]A = 13000(1+ \frac{0.03}{4} )^{(4)(5)}[/tex]

A = 13,000.00(1 + 0.0075)²⁰

A = $15,095.39

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To calculate the horizontal displacement of a horizontally launched projectile.

The formula for calculating the horizontal displacement of a horizontally launched projectile is [tex]x = v*t[/tex]

A projectile launched horizontally with a velocity v, at a height y ,travels a horizontal distance x, while falling through a distance y.

The horizontal velocity of a projectile remains constant throughout its motion, in the absence of air resistance. The vertical component of the velocity is under the action of the gravitational force and hence it increases in magnitude as it falls through the height.

The horizontal displacement of the projectile is a uniform motion and it occurs at a constant speed v.

Hence, the horizontal displacement of the projectile is given by the expression.[tex]x = v*t[/tex]

It would help to recreate the problem variables in the math equation editor, or define what you mean by "vi(cos )t"  and "[tex]v*t[/tex]".  These are somewhat vague descriptions.

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The domain of the expression [tex]{\frac{1}{4} }^{\frac{2-x}{x} } > 64^{2}[/tex] is

The solution of the equations is

The domain of a function is all possible input values of the function

for a fraction the denominator should not be zero. therefore

In the function given: (2 - x) / x in this case x ≠ 0

The domain is then all numbers excluding 0,  (-∞, 0) U (0, ∞)

The equation is solved as follows

[tex]{\frac{1}{4} }^{\frac{2-x}{x} } > 64^{2}[/tex]

solving to have a common base

[tex]4^{-1\frac{2-x}{x} } > (4^{2}) ^{3}[/tex]

[tex]4^{-\frac{2-x}{x} } > 4^{6}[/tex]

equating the bases

[tex]{-\frac{2-x}{x} } > 6[/tex]

-2 + x > 6x

-2 > 6x - x

-2 > 5x

-2/5 > x

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The degree measure of each angle in the triangle are:

F = 31°

G = 90°

H = 59°

It is important to note the following in the triangle:

Sum of all angle in a triangle = 180°

A right angle = 90°

Therefore, since G is a right angle, it's 90°.

H = 5x - 16

F = 3x - 14

The value of x will be found thus:

F + G + H = 180°

3x - 14 + 90° + 5x - 16 = 180

Collect like terms

3x + 5x = 180 + 14 - 90 + 16

8x = 120

Divide

x = 120 / 8

x = 15°

Therefore,

H = 5x - 16

H = 5(15) - 16

H = 75 - 16

H = 59°

F = 3x - 14

F = 3(15) - 14

F = 45 - 14

F = 31°

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Answer:

The cost of the electric toothbrush is the $34.

Step-by-step explanation:

We have to find that the cost for the store to purchase the electric toothbrush.

cost of the electric toothbrush = $69 - 50% of $69

cost of the electric toothbrush = $69 - 50/100* 69

cost of the electric toothbrush = $69 - 34.5

cost of the electric toothbrush = 34.5.

There are a total of 200 trees in the forest ranges and there are 50 oak trees while there are 80 pine trees.

A frequency table lists a group of values along with how frequently each one occurs. The frequency of a given data value in your dataset is the number of times it appears. These tables assist you in determining which data values are typical and which are uncommon.

It is given that the data in the table,

Oak 50

Beech 40

Walnut 10

Pine 80

Spruce 20

Thus, there are a total of 200 trees in the forest ranges and there are 50 oak trees while there are 80 pine trees.

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Answer:

Step-by-step explanation

Answer:

  220 kW

Step-by-step explanation:

You want the power used by a single lathe when a mill uses 4 times as much, and a mill plus 3 lathes uses 1540 kW.

Let p represent the power used by a single lathe. Then a mill uses 4p, and the given total is ...

  (4p) +3p = 1540

  7p = 1540 . . . . . . collect terms

  p = 220 . . . . . . . divide by 7

A single lathe uses 220 kW.

Answer:

I'm going to assume that YZ is half of VW.

VW = (YZ)2

5x + 5 = (3x)2

5x + 5 = 6x

[subtract 5x from both sides]

5 = x

YZ = 3x, and x = 5, so YZ = 3(5).

YZ = 15.