Points-

Pls answer this correctly!

The regression equation that represents the relationship between velocity and time is:

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (t,v), that is, time and velocity, are given as follows:

(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).

Hence, inserting these points into a calculator, the equation is given by:

v = 2.19t + 6.7.

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Answer:

83/804

Explanation:

To evaluate:

First, we convert both fractions to improper fractions.

Next, we change the division to multiplication as follows:

Answer: The answer is c log4(x+6)=log4 16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

2.54 x 10 = 25.4

please give e brainliest please

Answer:

13 degrees

Step-by-step explanation:

5--8=5+8=13

Answer:

13

Step-by-step explanation:

To find the distance, d, between two points on the Cartesian plane use the distance formula.

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

The points are (3, -4) and (8, 8), so you can use:

x1 = 3

y1 = -4

x2 = 8

y2 = 8

Now plug in all values above in the formula and evaluate it.

\( d = \sqrt{(8 - 3)^2 + [8 - (-4)]^2} \)

\( d = \sqrt{(5)^2 + (8 + 4)^2} \)

\( d = \sqrt{25 + (12)^2} \)

\( d = \sqrt{25 + 144} \)

\( d = \sqrt{169} \)

\( d = \sqrt{13} \)

The new drug appears to reduce the number of migraines since the rerandomized mean differences are close to the mean difference found between the two groups studied. Option D is correct.

The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.

The data set is;

1.2, 3.4, 1.8, 1.3, 1.1, 0.9, 2.5, 0.7, 1.1, and 0.9.

The group that took the new medication reported having 1.3 migraines on average per week.

The group that received the placebo reported having 2.5 migraines on average per week. The difference in both the case;

⇒2.5-1.3 = 1.2

The sum of the difference of the means from rerandomization is;

⇒1.2+ 3.4 +1.8 +1.3 +11+ 0.9 +2.5 +0.7 +11+0.9

⇒14.9

The average of the data is;

⇒14.9/10

⇒1.49

The average of the data obtained is 1.49 is close to 1.2.

The rerandomized mean differences, therefore, approximate the mean difference between the two groups under study.

As a result, the new drug appears to reduce the number of migraines since the rerandomized mean differences are close to the mean difference found between the two groups studied.

Hence, option D is correct.

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Answer:

Step-by-step explanation:

The bones were about 7921 years old at the time they were discovered.

Given that:

The half-life of the radioactive element carbon-14 is 5750 years.

It is determined by scientists that mastodons had lost 61.5% of their carbon-14.

It is required to find the age of bones.

The decay rate is:

k = 0.693/5750

  = 1.2052 × 10⁻⁴

Now, the initial count of carbon-14 in the bone, N₀ = 100

Now, the count is, N = 100 - 61.5 = 38.5

The age of the bone is:

t = [2.303/k] × log(N₀/N)

 = [2.303/(1.2052 × 10⁻⁴)] × log(100/38.5)

Use the calculator to find the value of t.

t = 7921.259

 ≈ 7921 years

Hence the bones were 7921 years old.

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The complete question is given below:

The vector function that represents the curve of intersection of the cone and the plane is:

r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]

For a vector function that represents the curve of intersection between the cone and the plane, we need to set the equations of the cone and the plane equal to each other and solve for x, y, and z.

The cone equation is given as: z = √(x^2 + y^2)

The plane equation is given as: z = 3 + y

Setting these two equations equal to each other, we have:

√(x^2 + y^2) = 3 + y

To eliminate the square root, we can square both sides of the equation:

x^2 + y^2 = (3 + y)^2

x^2 + y^2 = 9 + 6y + y^2

Simplifying the equation, we have:

x^2 - 6y = 9

Now we can express x and y in terms of a parameter t to create the vector function r(t):

x = t

y = (t^2 - 9) / 6

Substituting these values back into the cone equation to find z:

z = √(x^2 + y^2) = √(t^2 + ((t^2 - 9)/6)^2)

Therefore, the vector function that represents the curve of intersection of the cone and the plane is:

r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]

Note that this is a parametric representation of the curve, where t is the parameter that determines points on the curve.

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Batters struck out more, and their batting averages got worse. The correct option is B

Strike zone is the area over home plate between the batter's knees and mid-chest where a pitched ball is considered a "strike" if it crosses the plate within this area and the batter does not swing.

The location and size of the strike zone is specified in the official rules of Major League Baseball and other baseball organizations and it is used to determine the outcome of each pitch in a game.

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Answer:

Step-by-step explanation:

The numbers lies between 80 and 140

80 < x <140

Hollow dot at point 80 and 140 indicates that 80 and 140 are not included

Answer:

19/20

Step-by-step explanation:

A "simplified fraction" in this case is the ratio of two integers.

0.95 = 95/100 (the ratio of two integers), which in turn can be simplified:

95/100 = 19/20

Answer:

a could equal anything.

Step-by-step explanation:

Subtract a from both sides:

8+a-a+6=4a-a+14-3a

8+6=3a+14-3a

Simplify:

14=3a-3a+14

14=14

It doesn't matter what a is, the answer is still the same. Try it with 5, -5, 0, 327, you will get the same thing each time.

Answer:

ok but with what

Step-by-step explanation:

Answer:

i go to k12 we got the same sience class want to be pen pals? we help eachother

Step-by-step explanation:

Answer: the ANSWER IS 11 sqt

Step-by-step explanation:

Factor 1331 into its prime factors

          1331 = 113

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          121 = 112

Factors which will remain inside the root are :

          11 = 11

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          11 = 11

The simplified SQRT looks like this:

        11 • sqrt (11)  

Simplified Root :

11 • sqrt(11)

Answer:

1 1/2 gallons

Step-by-step explanation:

3/4 + 3/4 = 6/4 or 1 1/2 gallons

Step-by-step explanation:

Divide 130 by 2 to represent the number of miles they've driven per hour.

\(130 \div 2 = 65\)

Divide 650 by 65 to represent the number of hours for 650 miles.

\(650 \div 65 = 10\)

The total amount of time is 10 hours.

Answer:

A 0

Step-by-step explanation:

A 0

If C = 15 , then the values of A and B will be A = 3, B = 5  and equation in standard form is 3x + 5y = 15  .

In the question ,

the equation is given

the equation is Ax + By = C

also given that C = 15 ,

so , Ax + By = 15

From the graph we see that when x = 5 , y = 0

substituting , in Ax + By = 15  , we get

A(5) + B(0) = 15

5A = 15

A = 3 .

also when x = 0 , y = 3

Substituting in Ax + By = 15  , we get

A(0) + B(3) = 15

3B = 15

B = 5

so , the equation in standard form is 3x + 5y = 15   .

Therefore , If C = 15 , then the values of A and B will be A = 3, B = 5     .

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The points that lie on the graph of Q(x) are (0,0) and (-5,-5).

The points that lie on the graph of the absolute value function Q(x) = |x| are:

a. (-3,3): No, because Q(-3) = |-3| = 3, which is not equal to the y-coordinate 3.

b. (0,0): Yes, because Q(0) = |0| = 0, which is equal to the y-coordinate 0.

c. (-5,-5): Yes, because Q(-5) = |-5| = 5 and Q(-5) = -|-5| = -5, which is equal to the y-coordinate -5.

d. (-72,72): No, because Q(-72) = |-72| = 72, which is not equal to the y-coordinate 72.

e. (4/5,-4/5): No, because Q(4/5) = |4/5| = 4/5, which is not equal to the y-coordinate -4/5.

Therefore, the points that lie on the graph of Q(x) are (0,0) and (-5,-5).

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The projection of → b onto → a is ⟨-6/13, 30/13⟩.

To find the projection of → b onto → a, we need to use the formula:
proj⟨a⟩(b) = ((b · a) / ||a||^2) * a

First, we need to find the dot product of → a and → b:
→ a · → b = (-1)(-3) + (5)(3) = 12

Next, we need to find the magnitude of → a:
||→ a|| = √((-1)^2 + 5^2) = √26

Now, we can plug in these values into the formula:
proj⟨a⟩(b) = ((b · a) / ||a||^2) * a
proj⟨a⟩(b) = ((12) / (26)) * ⟨-1, 5⟩
proj⟨a⟩(b) = (12/26) * ⟨-1, 5⟩
proj⟨a⟩(b) = ⟨-12/26, 60/26⟩
proj⟨a⟩(b) = ⟨-6/13, 30/13⟩

Therefore, the projection of → b onto → a is ⟨-6/13, 30/13⟩.

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Answer:

yes he is

Step-by-step explanation:

Her mental age would be 8 yrs old.

IQ [ Intelligent Quotient ]  is a type of standard score that indicates how far above, or how far below, his/her peer group an individual stands in mental ability.

IQ of a person is given by the formula -

IQ = MA/CA * 100

IQ = Mental Age / Chronological Age * 100

According to the question, IQ = 100, CA = 8

⇒ 100 = MA / 8 *100

⇒1 = MA / 8

⇒ MA = 8 Yrs

Hence, the estimated mental age of susan is 8 yrs old.

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The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

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Answer: ten times 3 x ^2

Step-by-step explanation:

Answer:

Substitute 10 for x in the equation. \(3(10)^2\). If that is not a choice for the answer then you would multiply 10 by the second power.

\(3(10)^2\\3(100)\)

Step-by-step explanation:

I hope this helps! May i please have brainliest? :)

Step-by-step explanation:

\( \large\underline{\sf{Solution-}}\)

Given function is

\(\rm \longmapsto\:f = \bigg(x, \: \dfrac{ {x}^{2} }{ {x}^{2} + 1} \bigg) : x \: \in \: R\)

To find the range of the function f, Let assume that

\(\rm \longmapsto\:y = \dfrac{ {x}^{2} }{ {x}^{2} + 1} \)

\(\rm \longmapsto\: {yx}^{2} + y = {x}^{2} \)

\(\rm \longmapsto\: {yx}^{2} - {x}^{2} = - y\)

\(\rm \longmapsto\: - {x}^{2} (1 - y) = - y\)

\(\rm \longmapsto\: {x}^{2} (1 - y) = y\)

\(\rm \longmapsto\: {x}^{2} = \dfrac{y}{1 - y} \)

\(\rm\implies \:x = \sqrt{\dfrac{y}{1 - y} } \)

For x to be defined,

\(\rm \longmapsto\:y \geqslant 0 \: \: and \: \: 1 - y > 0\)

\(\rm \longmapsto\:y \geqslant 0 \: \: and \: \: - y > - 1\)

\(\rm \longmapsto\:y \geqslant 0 \: \: and \: \: y < 1\)

\(\bf\implies \:y \: \in \: [0, \: 1)\)

Hence,

\(\bf\implies \:Range \: of \: f \: \in \: [0, \: 1)\)

Answer:

x=51

Step-by-step explanation:

166=13+3x

153=3x

51=x

I hope this is correct and helps you!

Answer:

y + 6 = \(\frac{1}{3}\)(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \(\frac{1}{3}\) and (a, b) = (- 2, - 6 ) , thus

y - (- 6) = \(\frac{1}{3}\)(x - (- 2) ) , that is

y + 6 = \(\frac{1}{3}\)(x + 2)

Answer:

x = 5

Step-by-step explanation:

Given

4x - 14 + 6 = 12 , that is

4x - 8 = 12 ( add 8 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5