3/4 + 1 as a fraction

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       \(\sqrt{3^{2} } + (-1)^{2}\)

d = | 20 | / \(\sqrt{10}\)

d = 20 / \(\sqrt{10}\)

d = 2\(\sqrt{10}\)

The decay factor of the exponential decay function describing the value of construction equipment is 0.25.

A percentage is used to represent the degradation rate.

Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.

The decay factor b = 1-r can therefore be calculated.

For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.

A percentage is used to represent the degradation rate.

Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.

The decay factor b = 1-r can therefore be calculated.

For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.

So, we know that the depreciation rate is 25%.

Then, the decay rate:

.025

Therefore, the decay factor of the exponential decay function describing the value of construction equipment is 0.25.

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Using u-substitution, the antiderivative of 4x3(x+4x3(x4+10)7 dx can be transformed into the antiderivative of (x2+10)2(4x3dx) = 1 with respect to the variable u. Substitution transforms this. After that, the antiderivative can be assessed and translated back to x.

To begin the u-substitution, we will first let u = x4+10 and then calculate the differential of u, which is du = (4x3)dx. This will allow us to proceed with the u-substitution. Next, we replace (4x3dx) with du and substitute x4+10 with u. This gives us the converted antiderivative problem, which reads as follows: (x2+10)2(du) = 1.

After that, we will compute the converted antiderivative by integrating (x2+10)2 with respect to u. This will allow us to determine the transformed antiderivative. The expression 1/3 (x2+10)3 is the antiderivative of the expression (x2+10)2. As a result, the transformed antiderivative issue is rewritten as (1/3)(x2+10)3 = u + C, where C is the integration constant.

In the end, in order to convert back to the initial variable x, we substitute the value u with x4+10. Therefore, the initial antiderivative of 4x3(x+4x3(x4+10)7 dx is (1/3)(x2+10)3, which equals x4+10 + C, where C is the integration constant.

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(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.

A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.

a). Positivplate should be on the right and negativeplate should be on the left.

Potential equals zero at the center of the plates.

Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0

Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.

Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.

Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.

The potential is -8475 V on the contrary side of the negative plate.

Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.

b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J

Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.

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Answer:

16 cup servings

Step-by-step explanation:

1 pint = 2 cups

8 pints = 2 x 8 cups

8 pints = 16 cups

The volume of the cheese is approximately 135 cubic centimeters.

To calculate the volume of the cheese, we can use the formula:

Volume = Mass / Density

Given that the mass of the cheese is 216 grams and the density is 1.6 g/cm³, we can plug these values into the formula:

Volume = 216 g / 1.6 g/cm³

Now, we need to convert the units so that they are consistent. Since density is given in grams per cubic centimeter (g/cm³), we need to convert the mass from grams to cubic centimeters.

1 gram is equal to 1 cubic centimeter, so:

Volume = 216 cm³ / 1.6 cm³

Now, divide:

Volume ≈ 135 cm³

The volume of the cheese is approximately 135 cubic centimeters.

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Given:

The point is (-5,7).

To find:

The image of the given point after 90 degrees counter clockwise rotation.

Solution:

If a point rotated 90 degrees counter clockwise, then

\((x,y)\to (-y,x)\)

Let the given point is P(-5,7). Using the above rule, we get

\(P(-5,7)\to P'(-7,-5)\)

Therefore, the image of the given point after 90 degrees counter clockwise rotation is (-7,-5).

(A - B) u (A ∩ B) = A is proved using the properties from Theorem 6.2.2.

To construct an algebraic proof for the given statement (A - B) u (A ∩ B) = A, we can use the properties from Theorem 6.2.2. Here is the step-by-step proof:

1. (A - B) u (A ∩ B) = (A ∩ B') u (A ∩ B) [Using Set Difference Law, 12: A - B = A ∩ B']
2. (A - B) u (A ∩ B) = A ∩ (B' u B) [Using Distributive Law, 3(a): A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)]
3. (A - B) u (A ∩ B) = A ∩ U [Using Complement Laws, 5(a): A ∪ A' = U]
4. (A - B) u (A ∩ B) = A [Using Identity Law, 4(b): A ∩ U = A]

Thus, we have proven that (A - B) u (A ∩ B) = A using the properties from Theorem 6.2.2.

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In a 4 x 4 x 4 design, there are three main effects, three 2-way interactions, and one 3-way interaction.

In a factorial design, the number of main effects and interactions can be determined by examining the number of factors and their levels. In a 4 x 4 x 4 design, there are three factors, each with four levels.

For each factor, there is one main effect. Since there are three factors in the design, there are three main effects.

To determine the number of possible interactions, we consider the possible combinations of factors. In a 4 x 4 x 4 design, we can have 2-way interactions, 3-way interactions, and a 4-way interaction.

2-way interactions: There are three pairs of factors (A-B, A-C, B-C), resulting in three 2-way interactions.

3-way interactions: There is only one combination of three factors (A-B-C), resulting in one 3-way interaction.

4-way interaction: Since there are no additional factors beyond the three factors, there is no 4-way interaction.

Therefore, in a 4 x 4 x 4 design, there are three main effects, three 2-way interactions, and one 3-way interaction.

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1) It is a conservative force, yes.

2) At (5m, 5m), the potential energy is 20 J.

1) If the work that a force performs when moving an item depends only on the object's initial and final positions and not on the path travelled, the force is said to be conservative.

Let's verify if this condition is met for the force in this problem:

- For moving from (0 m, 0 m) to (5 m, 5 m), the work done is 20 J (A)

Then we can go from (0 m, 0 m) to (5 m, 5 m) through a different path:

- from (0 m, 0 m) to (5 m, 0 m) (work done: 25 J)

- from (5 m, 0 m) to (5 m, 5 m) (work done: -5 J)

Total work done in the second path: 25 J + (-5 J) = 20 J --> same as (A)

We can also go from (0 m, 0 m) to (5 m, 5 m) through a different path:

- from (0 m, 0 m) to (0 m, 5 m) (work done: 35 J)

- from (0 m, 5 m) to (5 m, 5 m) (work done: -15 J)

Total work done in the third path: 35 J + (-15 J) = 20 J --> same as (A)

So, the force is conservative, since the work done does not depend on the path taken.

2) For a conservative force, the change in potential energy of the object moved by the force is equal to the work done by the force in moving the object from A to B.

Here have:

Point A: (0m, 0m)

Point B: (5m, 5m)

In this problem, the potential energy at the origin (point A) is zero, so,

\(W = U_{b} - U_{a}\)

Also we know that the work done is W = 20 J

So, we find

\(U_{b} = W + U_{a}\\=20 + 0\\= 20J\)

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Correct Question:

A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 J from (0 m, 0 m) to (5 m, 0 m); 35 J from (0 m, 0 m) to (0 m, 5 m); -5 J from (5 m, 0 m) to (5 m, 5 m); -15 J from (0 m, 5 m) to (5 m, 5 m); and 20 J from (0 m, 0 m) to (5 m, 5 m).

Is this a conservative force?

If the zero of potential energy is at the origin, what is the potential energy at (5m, 5m)?

Answer:

First off it moves differently on the graph when adding c to the first eqaution the line moves c spaces up. When c is added before the exponent it moves c spaces to the left on the graph.

Step-by-step explanation:

Answer: She needs about 50.27 square centimeters of a cheese layer... closest multiple choice answer is C.

Step-by-step explanation: A = pi*r^2. Diameter is 2r.

A = pi*(4)^2

A = 16*pi

A = 50.2654

Answer: k = 84

Step-by-step explanation:

0.12k = 10.08

k = 84                       Divide 0.12 to both sides

Answer:

k=84

Step-by-step explanation:

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Given:

solving for a:

ANSWER

a = (y - g)/x

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

The probability of not choosing any women to be on the committee is 1/15. There is only 1 way to choose 2 men out of 2.

The probability of not choosing any women to be on the committee can be calculated by dividing the number of ways to choose 2 men out of 2 from the total number of ways to choose 2 members out of 6.
To calculate the number of ways to choose 2 men out of 2, we use the combination formula, which is given by:
nCr = n! / (r!(n-r)!)

In this case, n represents the total number of men (2) and r represents the number of men to be chosen (2).
So, using the combination formula, we have:
2C2 = 2! / (2!(2-2)!) = 2! / (2! * 0!) = 2! / (2! * 1) = 2 / 2 = 1

Therefore, there is only 1 way to choose 2 men out of 2.
To calculate the total number of ways to choose 2 members out of 6, we use the same combination formula:
6C2 = 6! / (2!(6-2)!) = 6! / (2! * 4!) = (6 * 5 * 4!) / (2! * 4!) = (6 * 5) / 2 = 15
Therefore, there are 15 ways to choose 2 members out of 6.
Now, to calculate the probability of not choosing any women, we divide the number of ways to choose 2 men by the total number of ways to choose 2 members: P(no women) = 1 / 15

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Step-by-step explanation:

Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line. There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.

Answer: $28.89

Step-by-step explanation: 2% of 1,444.50 is $28.89

Answer: +12

Step-by-step explanation:

- and - makes positive

Answer:

A

Step-by-step explanation:

you go to divide 15 by 3.5 and then you'll get your answer 4 hrs

Answer:

A.

M = 3.5h; about 4 hours

Step-by-step explanation:

M(earned money)=h(worked hours)*$3.50

M = money earned

H = hours spent baby sitting

Basically, M = $3.50 x H, or M=$3.50H

So, if H = 6 then, 6 x $3.50 = $21 so M = $21

M= 3.50H

you would multiply the number of hours by 3.50 and that would be the total about of money earned.

Juan charges $3.50 per hours for baby-sitting.

a.write a rule to describe how the amount of money M earned is a function of the number of hours baby-sitting.

b. make a table of values

c. graph the values and join the point with a line.

d. use the graph to estimate how long it wii take Juan to earn $15.

M = money earned H = hours spent baby sitting a) Rule is: M = $3.50 x H, or M=$3.50H b) Table of values H(in hr) M = 3.5H

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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25 is your answer if i am sure, the question was confusing tho.

Answer: 90 degrees

Step-by-step explanation:

The hypotenuse is opposite the right angle, which is created by the two shortest sides.

The proof by mathematical induction that all horses are the same color is flawed because the basis step does not make any sense. Because the basis step is invalid, the proof is incorrect overall.

Specifically, for the basis step, we cannot start with a set of 1 horse, as there is no other horse to compare it to. Hence, we cannot make any definitive claims about a single horse, and the basis step cannot be completed. The inductive step, on the other hand, is correct, assuming that the basis step was valid. By assuming that all horses in a set of n horses are the same color, we can show that horses 1 through n + 1 must be the same color. This is because the sets of horses from 1 to n and from 2 to n + 1 overlap, and therefore, by the transitive property of equality, all horses in the set from 1 to n + 1 must be the same color. However, because the basis step is invalid, the proof is incorrect overall.

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Answer:

remember when you use ":" that means / aka division!

14/6 = 7/3

14/2 = 7 and 6/2 = 3!

so, that makes 7/3,

21/4 does not equal 7/3.

35/15

35/5 = 7 and 15/5 = 3!

Hi there,

I hope you and your family are staying safe and healthy!

In order to know if they are equivalent to 7:3, we need to divide them so that we can get their decimal number to make it easier to compare them.

so 7 divided by 3 = 2.3

In order for them to be equivalent to 7:3, they must equal the same thing

So let's divide the rest:

So 14 divided by 6 = 2.3 (equivalent)

21 divided by 4 = 5.25 (this is NOT equivalent)

35 divided by 15 = 2.3 (equivalent)

Thus, we can say:

14:6 and 35:15 are equivalent to 7:3 because when we divide them all, they all equal to 2.3

However, 35:15 is NOT equivalent to 7:3 because when we divide it, it didn't give us 2.3

Happy to help!

~Garebear

Answer:

x=\(\sqrt{2}\)/4 and x=-\(\sqrt{2}\)/4

Step-by-step explanation:

One method of solving is using the Quadratic Formula: -b ±\(\sqrt{b^{2}-4ac }\)/2a, with a=8, b=0, and c=-1.

After plugging these values in you get -0±\(\sqrt{0^2-(4*8*-1)}\)/2*8

After simplifying you get ±\(\sqrt{32}\)/16

Because 32 is 2^5, you can simplify it to 4\(\sqrt{2}\), which makes the equation ±4\(\sqrt{2}\)/16, or ±\(\sqrt{2}\)/4.

For the point 19, we need to note that the function g(x) is the function f(x) moved 2 units to the left in the x-axis and moved 4 units upward in the y-axis, then we need to return this transformation to get back to f(x), then what we need to do is to move the graph two units to the right and 4 units down, and the result will be:

For the point 20, what we are going to do is to look at each of the points and transform them to the preimage. for example:

since g(-3)=2 then 2f(-3-3)-2=2 then f(-6)=2

since g(-2)=4 then 2f(-2-3)-2=4 then f(-5)=3

since g(0)=1 then 2f(0-3)-2=1 then f(-3)=1.5

since g(1)=3 then 2f(1-3)-2=3 then f(-2)=2.5

since g(3)=3 then 2f(3-3)-2=3 then f(0)=2.5

now we can graph these points to obtain the new graph:

For the point 21:

since g(-3)=2 then 1/2f(-(-3))-4=2 then f(3)=12

since g(-2)=4 then 1/2f(2)-4=4 then f(2)=16

since g(0)=1 then 1/2f(0)-4=1 then f(0)=10

since g(1)=3 then 1/2f(-1)-4=3 then f(-1)=14

since g(3)=3 then f(-3)=14... and now we can do the third graph: