a ramp measures 6 feet long. if the ramp is 12 inches tall, what is the horizontal distance it covers? i'll give brainliest to whoever answers first/correctly!

Answer:

The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.

Step-by-step explanation:

We are given the function:

[tex]f(x)=x^2-6x+4[/tex]

And we want to determine its average rate of change over the interval:

[tex]1\leq x\leq 4[/tex]

The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.

Evaluate each endpoint:

[tex]f(1)=(1)^2-6(1)+4=-1[/tex]

[tex]f(4)=(4)^2-6(4)+4=-4[/tex]

So, our endpoints are (1, -1) and (4, -4).

The slope between them is:

[tex]\displaystyle m=\frac{(-4)-(-1)}{(4)-(1)}=\frac{-3}{3}=-1[/tex]

So, the average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.

Answer:

200.96

Step-by-step explanation:

have a good day:D

Answer:

x = −y −2

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

Answer:

B is the correct answer

since

a1/a2=b1/b2≠c1/c2

Answer:

20.096 units

Step-by-step explanation:

Given that,

The radius of circle, r = 4

The measure of central angle = 288°

We need to find the arc length. The formula to find the arc length is given by :

[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\l=\dfrac{288}{360}\times 2\times 3.14\times 4\\\\l=20.096\ m[/tex]

So, the arc length is equal to 20.096 units.

Answer:

soi de perú         NO INGLISH IS SPANISH

Step-by-step explanation:

JAJAJAJ

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

Answer: {5, -15, 45, -135, 405}

Step-by-step explanation: In a finite sequence, there's a number of limited terms. And those terms have a common ratio, in this case, the common ration is -3. Notice how 5*-3 is -15, and -15*-3 is 45, and so on until 405.

The finite geometric sequence is {5, -15, 45, -135, 405}.

Thus, option (B) is correct.

A geometric sequence is a sequence in which each term is obtained by multiplying the preceding term by a constant factor called the common ratio.

In the finite geometric sequence {5, -15, 45, -135, 405}

In this sequence, each term is obtained by multiplying (-3) to the previous term.

So, the common ratio

= (-15)/ 5

= -3

Therefore, the sequence is {5, -15, 45, -135, 405}.

Thus, option (B) is correct.

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Answer:

9005.90 m

Step-by-step explanation:

The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by

S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:

240° × (2pi/360°) = 4.19 radians

Therefore, the distance traveled by the atoms is so equal to the arc length S so

S = (2150 m)×(4.19 rad) = 9005.90 m

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

Answer:

The total weight is 5kg

Step-by-step explanation:

Given

See attachment for box plot

Required

Determine the total weight of the kitten

First, we represent the plot in the following table where the number of dots represent the frequency.

So, we have:

[tex]Weight \to Frequency[/tex]

[tex]\frac{1}{2} \to 3[/tex]

[tex]1 \to 2[/tex]

[tex]1\frac{1}{2} \to 1[/tex]

[tex]2 \to 0[/tex]

[tex]2\frac{1}{2} \to 0[/tex]

Multiply the weight by the frequency, then add up the result

So, we have:

[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]

Express as improper fraction

[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]

Take LCM

[tex]Total = \frac{3+4+3}{2}[/tex]

[tex]Total = \frac{10}{2}[/tex]

[tex]Total = 5kg[/tex]

Answer:

98 ° is measures angle x.Hope this helps you.

The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Similar figures are those figures whose ratio of the length of sides are proportional.

Similar figures only differ in size, their shape is equal.

The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.

So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.

Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is  [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] ,  [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] ,  [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].

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Answer:The first one is 16 and the second one is 18

Step-by-step explanation:

Answer:

I, J

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x² - 4x - 7 = 0

(x - 2)² = 11

Answer:

56

Step-by-step explanation:

56

hope this helps

¬_¬ :)

Answer:

Yes

Step-by-step explanation:

2 sides are equal as well as one angle being equal, so we know that the other angles must be equal, along with the other side.

Answer:

c is correct have a nice day

Step-by-step explanation:

The best description of a random sample for Kiera's middle school survey to determine the winter dance theme is option D: Fifty randomly selected 7th graders are surveyed.

Random sampling is a technique for picking a sample from a population in such a manner that each possible sample has a preset probability of being chosen.

As per the question, the sample should be representative of the entire student population, so selecting fifty students from each grade (option B) or all the students in Mrs. Jackson's class (option A) may not be representative of the entire student population.

Similarly, selecting fifty randomly selected staff members (option C) may not be representative of the student population.

Therefore, option D is the best choice as it randomly selects students from the population of interest.

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Answer:

13

Step-by-step explanation:

f0llow me if you have time thanks

hope it helps

#carryonlearning

#ownanswer

Answer:

13 pints

Step-by-step explanation:

2 pints per quart

6.5 x 2 = 12 + 1 = 13 pints

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

24

Step-by-step explanation:

Answer:

4.125 hours

Step-by-step explanation:

Trapezoid shaped lawn :

Bases : 90 ; 126 ; height = 90

Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height

Area of trapezium = 1/2(90 + 126) * 75

Area = 108 * 90 = 8100 feets

Triangular lawn :

Height = 80 feets ; Base = 105 feets

Area of triangle = 1/2 base * height

Area = 1/2 * 80 * 105 = 4200 feets

Rectangular lawn :

Length = 120 feets ; width = 90 feets

Area of rectangle = Length * width

Area = 120 * 90 = 10800 feet²

Area of all 3 lawns = (8100 + 4200 + 10800) = 23100

In 2 hours ; Herbert can now (160 * 70) = 11200 feets

23100 / 11200 = 2.0625

Tine required to mow all three lawns :

2 hours * 2.0625 = 4.125 hours

= 4 hours, 7 minutes, 30 seconds

Answer:

Step-by-step explanation:

8√42 ÷ 2√7 is 8√42/2√7 in a fraction form

you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.

8√42/2√7 * 2√7/2√7 = 4√6

The solution is, 83.6 kilograms does Miguel weigh.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

here, we have,

given that,

Miguel weighs himself and discovers he weighs 83,600 grams.

now.,, we have to find that how many kilograms does Miguel weigh.

we know that,

1000 grams = 1 kg

so, we have,

he weighs 83,600 grams

so,

as, 1000 grams = 1 kg

so, 1 gram = 1/1000 kg

we get,

83,600 grams =  1/1000 * 83,600 kg

i.e. 83,600 grams = 83.6 kg

Hence, 83.6 kilograms does Miguel weigh.

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Answer:

74%

Step-by-step explanation:

0.74 × 100 = 74%

Answer:

74% (answer).

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%