What are the coordinates of the point on the directed line segment from (-4, 7) to (7, -4) that partitions the segment into a ratio of 6 to 5?

Answer:

0.6 or \(\frac{3}{5}\)

Step-by-step explanation:

Using the Pythagorean theorem (\(a^{2} +b^{2} =c^{2}\)) we get that the hypotenuse is 5.

so the cos V is adjacent over the hypotenuse. so if adjacent is 3 and hypotenuse is 5, the answer is \(\frac{3}{5}\) which equals 0.6 in decimal form.

Answer:

2334

Step-by-step explanation:

hi

the total dough need to prepare is 21

the dough already prepared is 5

so the remaining dough is 21 - 5 = 16 kg

the rate of dough is 8 dough per hour

so 16/8 = 2

means 16 dough will prepare in 2 hrs

so the time is 2 hrs

In summary, the researchers concluded that Red Bull has little to no effect on GRE scores because there was no statistically significant difference between the scores of the two groups. This indicates that Red Bull does not have a significant impact on test scores.

The result that most closely matches the conclusion that drinking two cans of Red Bull has little to no effect on GRE scores is that there was no statistically significant difference in the scores between the students who drank the Red Bull and those who drank the water. This means that the scores for both groups were about the same and there was no correlation between the two variables.

This conclusion is supported by the fact that no differences were found between the two groups. Additionally, this finding could be further supported by statistical tests such as a two-tailed t-test which would determine whether or not the difference between the two groups is statistically significant.

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Answer:

(a)  34 m/s

(b)  k = 42.5

Step-by-step explanation:

\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)

Given:

Substitute the values into the formula to find the average speed :

\(\implies \sf Speed = \dfrac{1700}{50}=34\;m/s\)

The area under a speed-time graph represents the distance traveled.

Separate the area under the graph into a rectangle and a triangle, where:

\(\boxed{\textsf{Area of a rectangle $=$ width $\times$ length}}\)

Therefore, the distance traveled in the first 30 seconds of the journey is:

\(\implies \sf 30k\)

\(\boxed{\textsf{Area of a triangle $=\dfrac{1}{2} \times$ base $\times$ height}}\)

Therefore, the distance traveled in the last 20 seconds of the journey is:

\(\implies \sf \dfrac{1}{2}(20)k\)

Therefore:

\(\implies \sf 30k+\dfrac{1}{2}(20)k=1700\)

\(\implies \sf 30k+10k=1700\)

\(\implies \sf 40k=1700\)

\(\implies \sf \dfrac{40k}{40}=\dfrac{1700}{40}\)

\(\implies \sf k=42.5\)

Answer:

k is 42.5 m/s

Step-by-step explanation:

we need to calculate the distance that was covered when the speed was k m/s

from the graph k m/s was travelled for 30 seconds

the entire time for the journey was 50 seconds

the entire journey was 1700 m

Alternatively the area under the graph represents the total distance covered.

Area of a trapezium = 1/2(a+b)h

= 1/2( 30+50)k

= 40k

we equate it to the total distance covered

1700 = 40k.

k = 42.5

Thus k is 42.5 m/s

Complete question :

Joanna had four candy bars. She wanted to find out how many people could share the bars if each person received 2/3 of a bar. Use the candy bar picture below to help you.

What is the answer to Joanna's question?

Kindly find attached candy bar picture below

Answer:

6 people

Step-by-step explanation:

From the picture, each candy bar has already been divided equally into 3. Since we have 4 candy bars. The total number of divisions we have is ; (3 * 4 = 12 candy units).

Since each person is taking 2/3 of a bar, this is equal to 2 units of candy

Hence, number of people who could share the bar :

Total units or division / units person

12 / 2

= 6 people

Answer: a = 1, b = -11, and c = -42.

Step-by-step explanation:

The solutions to the equation x² - 11x - 42 = 0 are x = -6 and x = 7.

You can find the solutions by factoring the equation, or by using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.

In this case, a = 1, b = -11, and c = -42.

The coordinates of point B on line segment AC are (8/13, 17/26).

To find the coordinates of point B on line segment AC, we need to use the given ratio of 2:12:12.

Calculate the difference in x-coordinates and y-coordinates between points A and C.
  - Difference in x-coordinates: -4 - 2 = -6
  - Difference in y-coordinates: 7 - (-8) = 15

Divide the difference in x-coordinates and y-coordinates by the sum of the ratios (2 + 12 + 12 = 26) to find the individual ratios.
  - x-ratio: -6 / 26 = -3 / 13
  - y-ratio: 15 / 26

Multiply the individual ratios by the corresponding ratio values to find the coordinates of point B.
  - x-coordinate of B: (2 - 3/13 * 6) = (2 - 18/13) = (26/13 - 18/13) = 8/13
  - y-coordinate of B: (-8 + 15/26 * 15) = (-8 + 225/26) = (-208/26 + 225/26) = 17/26

Therefore, the coordinates of point B on line segment AC are (8/13, 17/26).

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The angle RSQ = 105° and angle PQS = 78°

Given,

In the question:

In the figure,

PSR is a straight line .

To find the angle RSQ and angle PQS.

Now, According to the question;

In ΔQRS,

we know that :

Sum of angle of triangle is 180 degree.

Angle (SQR + QRS + RSQ) = 180°

In the figure,

Angle (23° + 52° + RSQ) = 180°

75° + ∠RSQ = 180°

∠RSQ = 180 - 75

∠RSQ = 105°

We have to find the ∠PQS

Now, PSR is a straight line

In Triangle PSQ

Find the ∠S

105 + ∠S = 180° (Linear Pair)

∠S = 75°

In ΔPQS

Angle(SPQ + PQS + QSP) = 180°

Angle(27° + PQS + 75° ) = 180°

∠PQS = 180 - 102

∠PQS = ∠78°

Hence, The angle RSQ = 105° and angle PQS = 78°

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Answer:

Step-by-step explanation:

step one:

let us calculate the percentage increase

(225/2)*100

=0.06428*100

=6.42%

We know that the expression for exponential formula is

\(y = ab^x.\)

where

a = the amount before measuring growth or decay

= $3500

r = decay rate = 6.42%= 0.0642

x = number of time intervals that have passed that is between 1995 and 2007= 12years

since this problem is on groth we are going to replace "b" with (1+r),

hence the formula to model the cost is  

\(y = a(1+r)^x.\)

\(y=3500(1+0.0642)^1^2 \\\\y=3500(1.0642)^1^2 \\\\y=3500*2.109983 \\\\y=7384.94\)

The cost of tuition in the year 2007 (12 years later)  would be

$7384.94

The probability that between 13 and 14.4 ounces are dispensed in a cup is approximately 0.3815 or 38.15%.

To find the probability that between 13 and 14.4 ounces are dispensed in a cup, we need to first standardize the values using the formula:

z = (x - μ) / σ Where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

For x = 13, we get: z = (13 - 13.5) / 3.5 = -0.14 For x = 14.4, we get: z = (14.4 - 13.5) / 3.5 = 0.26

We can then use a standard normal distribution table or a calculator to find the probability of the values falling between these two z-scores. Using a calculator, we can find: P(-0.14 < z < 0.26) = 0.3815

Therefore, the probability that between 13 and 14.4 ounces are dispensed in a cup is approximately 0.3815 or 38.15%.

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this equation is only valid at the point (a, b) where we found the slope of the normal line. To find the equation of the normal line at a different point, we would need to repeat this process with new values of a and b.

To find the equation of the line normal (perpendicular) to the graph of y = x^3 + 3x^2 + 7x - 1 at a point (a, b), we need to determine the slope of the normal line at that point.

The slope of the tangent line to the curve at (a, b) is given by the derivative:

f'(x) = 3x^2 + 6x + 7

So the slope of the tangent line at x = a is:

m = f'(a) = 3a^2 + 6a + 7

The slope of the normal line is the negative reciprocal of the slope of the tangent line, so:

m_n = -1/m = -1/(3a^2 + 6a + 7)

Now we have the slope of the normal line at (a, b), and we just need to find the equation of the line in point-slope form, using the point (a, b):

y - b = m_n(x - a)

Substituting the expression for m_n, we get:

y - b = (-1)/(3a^2 + 6a + 7)(x - a)

Multiplying both sides by 3a^2 + 6a + 7 to eliminate the fraction, we get:

(3a^2 + 6a + 7)(y - b) = -(x - a)

Expanding and rearranging, we get the equation of the line normal to the graph of y = x^3 + 3x^2 + 7x - 1 at (a, b):

(3a^2 + 6a + 7)y = -x + (3a^2 + 6a + 7)b + a

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(7z⁴ -5)(y³ + 5)is factor in this expression. They are all individual values or variables that contribute to the expression's overall calculation.

Factors are numbers that can be multiplied together to create a product. Factors are two or more numbers that are multiplied to produce a product. The product of two factors is called a multiple. Examples of common factors are: 2, 3, 5, 10, and 20. A factor is any number, positive or negative, that can be divided into another number without a remainder.

Factors are used to solve equations and simplify fractions. Factors can be used to help solve problems in algebra, calculus, and other areas of mathematics. Factors are also important in understanding prime numbers and composite numbers. Knowing the factors of a number can help you identify prime and composite numbers.

⇒ 7z^4-5+10(y^3+5)

⇒ 7z⁴ -5 + 10 (y³ + 5)

⇒ 7z⁴ -5 (y³ + 5)

⇒ (7z⁴ -5)(y³ + 5)

Thus, (7z⁴ -5)(y³ + 5)is factor in this expression. They are all individual values or variables that contribute to the expression's overall calculation.

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Full question:

Which of these is a factor in this expression- 7z^4-5+10(y^3+2).

Choices-

A- 7z^4-5,

B- 10(y^3+2)

C = -5+10(y^3+2)

D= (y^3+2)

If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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Answer:

35,408  miles in 8 days.

Step-by-step explanation:

4,426 x 8 = 35,408

Since all three principles of experimental design are likely to have been used in the study described, Therefore option D is correct.

All of the above are principles of experimental design. Randomization helps to ensure that groups are similar in all aspects except for the treatment received, reducing the effects of confounding variables. Replication allows for assessing the variability and consistency of results. Blinding reduces the risk of bias by preventing participants or researchers from knowing which treatment was received. The study described in the question uses all of these principles of experimental design.

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The molecular geometry of IF₄+ and IO₂F₂- are both see-saw.

However, SOF₄, SF₄, and XeO₂F₂ have different geometries - trigonal bipyramidal, square planar, and square pyramidal respectively. Therefore, the correct answer is "All of the following are see-saw except molecular geometry."

This question is testing the understanding of molecular geometry and its relationship to the number of lone pairs and bonding pairs around the central atom.

See-saw geometry has four bonding pairs and one lone pair around the central atom, while the other three compounds have different arrangements.

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complete question:

The molecular geometry of which of the  following are see-saw.(molecular  Geometry)

IF4+1

IO2F2−1

SOF4

SF4

XeO2F2

The area of the garden which is same as the shape of an octagon would be = 101.2in².

To calculate the area of an octagon the formula that can be used is given below;

Area of an octagon = (number of sides × length of one side × apothem)/2

For an octagon = 8 sides

apothem = 5.5in

Length of one side = 4.6in

Area = 8×4.6×5.5/2

= 202.4/2

= 101.2in²

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The rule for the geometric sequence is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

A geometric sequence is a sequence in which consecutive terms are in a common ratio.

Since we have the geometric sequence 64,-32,16,-8, the nth term of a geometric sequence is given by Uₙ = arⁿ⁻¹ where

Since in the geometric sequence, the first term U₁ = a = 64 and the second term U₂ = ar²⁻¹ = ar = -32, then the common ratio r is

r = U₂/U₁

= ar/a

= -32/64

= -1/2

Since a = 64 and r = -1/2

substituting these into Uₙ, we have

Uₙ = arⁿ⁻¹

Uₙ = 64(-1/2)ⁿ⁻¹

Uₙ = 64(-1/2)ⁿ/(-1/2)⁻¹

Uₙ = 64(-1/2)ⁿ/(-2)

Uₙ = -128(-1/2)ⁿ

Uₙ = (-1)(-1)ⁿ128(1/2)ⁿ

Uₙ = (-1)(-1)ⁿ2⁷(1/2)ⁿ

Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

So, the rule is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

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Answer:11

Step-by-step explanation:

A skewed distribution typically has one tail, while a normal distribution has two tails. Therefore, the correct answer is option c) 2; 1.

A skewed distribution is asymmetrical, with one tail extending further in one direction than the other. This indicates that the data is not evenly distributed. On the other hand, a normal distribution is symmetrical, with both tails extending equally in opposite directions. This bell-shaped distribution is characterized by a central peak, indicating that the data is evenly spread around the mean.

It is important to note that the tails in a normal distribution represent the extreme values of the dataset, which occur with decreasing probability as they move away from the mean.

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The direction of the difference between the 2 measurements.

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The answer is: C. 1.5%

Answer:

put the values

Step-by-step explanation:

D= (6) Square -4(3) (2)

D=36-4(6)

D= 36-24

D= 12

Answer:

C: The rockets were in the air for the same amount of time, but the rocket for group B went higher in the air.

Step-by-step explanation:

I took the test on Edge

Answer:

C

Step-by-step explanation:

Area of prism = base area × altitude

1. (2x²-10)(x+4)

= 3x³-2x - 40

2. Base area = 2πr

Volume = (2πr)(r²+ 5r)

=2πr³ + 10πr²

3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)

Volume= 3(x-4)(x+3)(⅓)

=(x-4)(x+3)= x² - x -12

4. Base circumference= 10π

Base radius = 10π/(2π) = 5

Base area = πr² = 25π

Volume = 25π(3x²-2x)

=125πx²-50πx

5. Volume = 3π√50

=15π√2

6. Base diameter = 16

Base radius = 16/2 = 8

Base area = 2πr = 16π

Volume = 16π(23a²)

=368πa²

The correct classification for the angle JML is an acute angle.

What is an acute angle?

An acute angle has a measure, or it's smaller, than a right angle.

Therefore, the acute angle is the small angle which is less than 90°

let's find the measure of ∠JML

Hence,

∠JML = ∠JMK + ∠KML

∠KML = 180 - 132 = 48 degrees.

Therefore,

∠JML = 41 + 48 = 89 degrees.

Therefore, the correct classification for the angle JML is an acute angle.

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