The expression a ÷ 4 is equal to __ for a = 1.4

Answer:

14a

Step-by-step explanation:

The height of the triangle ABE using similar triangles is 24cm

It states that f the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar. Thus, if ∠A = ∠B and AE/DC = AB/BD then ΔABE~ΔBCD

if two triangles are similar, then their corresponding angles are congruent.

if the height of ∆ABE is h , then the height of ∆BCD = 36-h

36-h/h= 10/20

multiply both side by 20h

720-20h= 10h

collect like terms

720= 30h

h= 720/30

therefore h= 24cm

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Answer: x = 1

x =(-3-√-15)/4=(-3-i√ 15 )/4= -0.7500-0.9682i

x =(-3+√-15)/4=(-3+i√ 15 )/4= -0.7500+0.9682i

x2 = 0

Step-by-step explanation:

There are 45 possible choices for the five members.

There are ten people on the debate team, but only two of them can be in position 5. Positions 1 through 4 can be filled by any 10 members. Using the combination formula nCr, where n is the total number of items and r is the number of items chosen from that set, we can determine the number of ways to select these five members.

In this instance, we have 10C2, which simplifies to 10!/(2!(10-2)!)) or 10 items chosen from a set of 10. This can be reduced to 45, or 109/2. As a result, there are 45 ways to select the five debate team members.

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Answer:

Z=pd+59/2-p

Step-by-step explanation:

2z-pd-pz-59=0

2z-pz=pd+59

z(2-p)=pd+59

z=pd+59/2-p

Answer:

1.) 2 3 4 6 8 9 12

Step-by-step explanation:

my answer was deleted cause it somehow violated Brainly's guidelines

Answer: A = 55* or 55 degrees

Step-by-step explanation:

The interior angles of a triangle always have a sum of 180 degrees.

75 + 50 + x = 180

Solve for x

FInal answer: 55 degrees

hope i explained it :)

The rate of increase in the volume of sphere when  diameter is 100 mm is 94285.71 mm³/s.

Let the radius of the sphere be 'r'.

The radius of a sphere is increasing at a rate of 3 mm/s .

Then,

dr / dt = 3 mm/s

Volume of sphere is given as;

v = 4/3 π r³

Then, the change is volume is;

dv / dt = (4/3)  π 3r² .dr/dt

         = 4πr² x 3

         = 12πr²

For radius = 100/2 mm = 50 mm

dv / dt  = 12 x 22/7 x 50²

dv / dt  = 94285.71 mm³/s

Thus, the rate of increase in the volume of the sphere when diameter is 100 mm is 94285.71 mm³/s.

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c) It would be larger, because higher confidence requires a larger margin of error.

When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.

To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.

Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.

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The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4

The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.

However, they are different in that they have different constants and coefficients.

How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.

To do this, you need to isolate x on one side of the equation. 2x + 1 = 9

Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.

Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.

We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.

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The false statement about Sara and Ashley can be derived by examining the opportunity cost of producing a milkshake. Opportunity cost is the loss of other alternatives when one alternative is chosen.In an hour, Ashley can produce 10 milkshakes or 30 ice cream sundaes,

while Sara can produce 16 milkshakes or 80 ice cream sundaes. Since Sara can produce milkshakes more efficiently, she has a comparative advantage in producing milkshakes. So, the false statement is the first statement which is Ashley's opportunity cost of producing 1 milkshake is 3 sundaes.To maximize their total output of beef and corn, Charlie and Don should specialize in the product for which they have a comparative advantage.

They should allocate their resources to maximize the production of beef and corn by specializing in the product for which they have a comparative advantage. Therefore, Charlie produces beef and Don produces corn.The correct option is:O Sara's opportunity cost of producing 1 milkshake is 5 sundaes.O Charlie produces beef and Don produces corn.

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Answer:

\(\boxed{235}\)

Step-by-step explanation:

Hey there!

Well given that,

a = 25

b = 3

10(25) - 5(3)

250 - 15

= 235

Hope this helps :)

Hi there! Hopefully this helps!

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First we need to substitute the value of the variable into the expression:

10a - 5b = 10(25) - 5(3).

Now we Multiply 10 and 25 to get 250.

250 − 5 × 3 = 235

Multiply 5 and 3 to get 15.

250 − 15 = 235

The measures of angles in the pentagon are 108 degrees, 108 degrees, 72 degrees, 36 degrees, and 36 degrees, respectively.

Let the angles of the pentagon be represented by 3x, 3x, 2x, x, and x, respectively. The sum of the angles of a pentagon is given by:

Simplifying the equation, we get:

Therefore, the angles of the pentagon are:

Hence, the measures of the angles in the pentagon are 108 degrees, 108 degrees, 72 degrees, 36 degrees, and 36 degrees, respectively.

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It will take them 2 hours to do the whole task if they work together.

If one person can do a task in 3 hours and another person can do the same task in 6 hours, then we can calculate their individual rates of work as follows:

The first person can do 1/3 of the task per hour (since it takes them 3 hours to do the whole task).

The second person can do 1/6 of the task per hour (since it takes them 6 hours to do the whole task).

When they work together, their rates of work will add up, so their combined rate of work is:

1/3 + 1/6 = 1/2

This means that working together, they can do 1/2 of the task per hour. To find out how long it will take them to do the whole task, we can use the formula:

time = work ÷ rate of work

Since the whole task is 1 unit of work, and their combined rate of work is 1/2 units per hour, we can plug in these values to get:

time = 1 ÷ (1/2) = 2 hours

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Answer :x^15

Step-by-step explanation:

You would combine components so it would be x^10x^5 you would add 5+10 and then you would get your answer

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Answer:i think its 115 degres

Step-by-step explanation:

Yes, given the conditions provided, a, b, and c are conditionally independent given d. Conditional independence means that the probability distribution of any one of the variables is independent of the others when the conditioning variable is known.

In this case, you have the following conditional independence relationships:

1. a and b are conditionally independent given d.
2. a and c are conditionally independent given d.
3. b and c are conditionally independent given d.

To show that a, b, and c are conditionally independent given d, we need to demonstrate that the joint probability distribution of a, b, and c given d can be factored into the product of their individual conditional probability distributions.

P(a, b, c | d) = P(a | d) * P(b | d) * P(c | d)

From the given relationships, we can infer the following:

P(a, b | d) = P(a | d) * P(b | d)
P(a, c | d) = P(a | d) * P(c | d)
P(b, c | d) = P(b | d) * P(c | d)

Now, we can substitute the individual conditional probabilities from the given relationships into the expression for the joint probability distribution:

P(a, b, c | d) = P(a | d) * P(b | d) * P(c | d)

Since the joint probability distribution of a, b, and c given d can be factored into the product of their individual conditional probability distributions, a, b, and c are conditionally independent given d.

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Answer:

x = -7 or -3

Step-by-step explanation:

The given quadratic equation is y=x2 −2x. When we substitute different values of x in the equation y=x2−2x then value of y changes accordingly and we obtain table from table we can draw a graph.

When x=0 then

y=(0)2−(2×0)=0−0=0

The point is (0,0)

When x=1 then

y=(1) 2−(2×1)=1−2=−1

The point is (1,−1)

When x=−1 then

y=(−1)2−(2×−1)=1+2=3

The point is (−1,3)

Hence, the coordinates are (0,0), (1,−1) and (−1,3) and the graph of the quadratic equation y=x2−2x is shown in the image.

Table:

x       0      1      -1

y       0     -1       3

Graph:

Graph is in the image uploaded.

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The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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8.987 ft/s rate of people moving apart 15 minutes after the woman starts walking.

The chain rule is a formula used in differential calculus to determine the derivative of a composite function.

If y = f(g(x)), then as per chain rule the instantaneous rate of change of function 'f' relative to 'g' and 'g' relative to x results in an instantaneous rate of change of 'f' with respect to 'x'.

Given:

dx/ dt = 4 ft/s, dy/dt = 5 ft/s

So, z²= ( x + y)² + 500²

Using Chain Rule

2z dz/dx = 2(x+ y) ( dx/dt + dy/dt) + 500

Now, 15 minutes after women starts

= 4 x 20 x 405

= 4800 ft

and, y = 5 x 15 x 605

         = 4500 ft

and, z= 4500+ 4800 /√(4500+ 4800)² + 500²  (4+ 5)

z=9300/ 9,313.43 x 9

z= 8.987

Hence, 8.987 ft/s  rate of people moving apart 15 minutes after the woman starts walking.

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Answer: 3 Pencils

Step-by-step explanation:

In order to know how many packages Zayed can make, we need a number that is a factor of 72 and 24, so that the 72 pencils and the 24 calculators can be divided evenly.

So, if there wre 2 packages, there would be 72 / 2 = 36 pencils 24/ 2= 12 calculators in each package. This creates packages, but isn't the gratest number of packages!

To find the greatest number of identical packeges, we want to found the greatest common factor of 72 and 24

To do so, lets find the factors of 72 and 24

72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

24: 1, 2, 3, 4, 6, 8, 12, 24

the gratest common number factor of 72 and 24 is 24. in math notation this looks like:

gcf (72, 24)=24

the gratest number of identical packages can make is 24

To find the umber of pencils in each pacage, we need to dovide the total number of pencils by the number of pakages:

72 / 24 = 3.

there will be 3 pencils each package

There is a 0.25 probability that at least 3 of these 5 kids have blue eyes.

We know that the probability is independent on the number of children, we know that there are 5 of them and one has blue eyes.

We want to find the probability that at least 3 have blue eyes, and we know that one certainly has blue eyes, so we want to find the probability that at least 2 of the other 4 have blue eyes.

The probability that 2 of the other 4 have blue eyes is:

p = (1/4)²*(3/4)²*6

(the factor 6 comes by the permutations of the possible kids with blue eyes)

p = 0.211

The probability that 3 of the other 4 have blue eyes is:

q = (1/4)³*(3/4)*4

This time we have 4 permutations (the permutations are the possible kids with no blue eyes, there are 4 options there)

q = 0.035

And the probability that the 4 kids have blue eyes is:

k = (1/4)⁴

There are no permutations here:

k = 0.004

The total probability is then:

P = 0.211 + 0.035 +  0.004 = 0.25

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t1 = 8m+1, (first term)

t2 = 6m-2 (second term)

t3 = 3m-2 (Third term)

t2-t1= t3-t2

(6m-2)-(8m+1) = (3m-2)-(6m-2)

6m-2-8m+1 = 3m-2–6m-2

6m-8m-2+1 = 3m-6m-2-2

-2m-1 = -6m-4

-2m+6m= -4+1

4m=3

m= 3/4