Cuál es un número primo divisor de 30?

A. 5

B. 10

C. 6

D. 15

Answer:

Julio's number is 212

Step-by-step explanation:

(x - 12) ÷ -5 = -40

x - 12 = -40 times -5

x - 12 = 200

x = 200 + 12

x = 212

Check:

(x - 12) ÷ -5 = -40

((212 - 12)) ÷ -5 = -40

200 ÷ -5 = -40

-40 = -40

Answer:

19060 * 0.91

the answer is £17344.60

Step-by-step explanation

since you are decreasing it, put the percentage from 100-9 and multiply it by the original amount because you are taking a fraction out of it

The net annual percentage growth rate of the city population is 0.4%

To calculate the net annual percentage growth rate of a population, we can use the following formula:

Net Annual Percentage Growth Rate = ((Births + Immigrants) - (Deaths + Emigrants)) / Initial Population x 100%

Plugging in the given values, we get:

Net Annual Percentage Growth Rate =\(((100 + 10) - (40 + 30)) / 10,000 x 100%\)

Net Annual Percentage Growth Rate = \((40 / 10,000) x 100%\)

Net Annual Percentage Growth Rate =\(0.4%\)

The net annual percentage growth rate of the city population is 0.4%

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Algebra

For example, (x)(x)=x^2

Add the exponents of the variable to get the correct answer.

(k^3)(k^5)=k^8

Answer and Step-by-step explanation:

When two values have the same base, have exponents, and are being multiplied to each other, then we add together the exponents.

So, we are given k to the power of 3, which is multiplied by k to the power of 5. The powers (exponents) are added together to make 8, and the bases combine to be only one of the bases, being k.

So, we are left with the answer being \(k^8\).

I hope this helps!

#teamtrees #PAW (Plant And Water)

Answer:

y = -10

Step-by-step explanation:

Hey there!

To solve this you first have to distribute the -3 to y and 5. When you do this you get...

-3y - 15 = 15

Add 15 on both sides you get...

-3y = 30

Divide by -3 and you get...

y = -10

Hope this helped :)

Answer:

y=-10

Step-by-step explanation:

Divide both sides by -3:

-3(y+5)/-3=15/-3

Simplify: 15/-3

y+5=-5

subtract 5 from both sides:

y+5-5=-5-5

simplify:

y=-10

If the function is f(x) = 3x² -2x +7, then the value of f(-2) is (d) 23.

A Function is defined as a rule which assigns a unique output value for each input value. It is a relation between set of inputs and set of possible outputs, where every input is related with exactly one output.

To find f(-2) for the function f(x) = 3x² -2x +7,

We input "-2" for x in the function.

we get,

⇒ f(-2) = 3(-2)² -2(-2) +7

⇒ 3(4) +4 +7

⇒ 12 + 11 = 23.

Therefore, the value of the function at x = -2 is 23, the correct option is (d).

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The given question is incomplete, the complete question is

Find f(-2) for the function f(x) = 3x² -2x +7.

(a) -13

(b) -1

(c) 1

(d) 23

Bob is exerting a force of 200 N on a 30 kg filing cabinet, but it remains stationary due to the static friction between the cabinet and the floor. The coefficient of static friction is given as 0.80.

The static frictional force acts between two surfaces in contact when there is no relative motion between them. The magnitude of static friction can be determined using the equation F_static = μ_static * N, where μ_static is the coefficient of static friction and N is the normal force.

In this scenario, Bob is applying a force of 200 N to the filing cabinet. In order to overcome the static friction and set the cabinet in motion, the applied force must be greater than or equal to the maximum static frictional force. The maximum static frictional force can be calculated by multiplying the coefficient of static friction with the normal force.

Since the cabinet is stationary, the applied force of 200 N is not sufficient to overcome the maximum static frictional force. The maximum static frictional force can be determined as F_static = μ_static * N = 0.80 * (30 kg * 9.8 m/s^2) = 235.2 N.

As the applied force of 200 N is less than the maximum static frictional force of 235.2 N, the filing cabinet remains stationary. Bob would need to apply a force greater than 235.2 N to overcome the static friction and set the cabinet in motion.

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After 4 years Nathan will have  $3,787.43.

In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest.

Given:

P = $3000

T= 4 years

R= 6%

Using Compound Interest

decimal

r = R/100

r = 6/100

r = 0.06 rate per year,

Then solve the equation for A

A = P \((1 + r/n)^{nt\)

A = 3,000.00 \((1 + 0.06/1)^{(1)(4)\)

A = 3,000.00 \((1 + 0.06)^{(4)\)

A = $3,787.43

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2/5 and 3/4 need the same second half so 2/5 and 3/4 = 8/20 and 15/20

15/20 - 8/20 - 7/20.

Sarah practiced 7/20 of an hour more than Eloise.

This can not be simplified.

7/12.

Math isn't my best subject, sorry if incorrect.

Answer:

0 < x < 18

Step-by-step explanation:

The rule for triangles is that one side must be less than the sum of the other two sides.

x < 9+9

9+x > 9

Hi!

Your answer is Infinite.

Here's why:

When you solve this system of equations your final answer will come down to x=x.

When this happens you know that the solution amount is infinite!

I hope this helps!

Feel free to give brainliest of you think this answer deserves it!

Answer:

Wow! Really? Cheating on Canvas?

Step-by-step explanation:

Answer:

Side AB has a length of 4, and side BC has a length of 11.7

while the derivative of a differentiable function is important in the computation of the convex conjugate, it is not accurate to say that the derivative is the maximizing argument.

The statement you provided is not entirely accurate. While it is true that the derivative of a differentiable function can play a role in computing the convex conjugate, it is not accurate to say that the derivative is the maximizing argument in the computation of the convex conjugate.

Let's clarify the concepts involved:

Convex conjugate: Given a function f, its convex conjugate (also known as the Legendre-Fenchel transform) is denoted as f∗ and is defined as:

f∗(y) = sup(x)(⟨x, y⟩ - f(x))

Here, sup denotes the supremum (least upper bound), ⟨x, y⟩ represents the inner product of x and y, and f(x) is the original function.

Derivative: The derivative of a function f(x) with respect to x, denoted as f'(x) or df/dx, gives you the rate of change of the function at a particular point.

The relationship between the derivative and the convex conjugate can be seen through the Moreau-Rockafellar duality theorem, which states that if f is a proper, convex, and lower-semicontinuous function, then its convex conjugate f∗ is also proper, convex, and lower-semicontinuous.

In this duality relationship, the gradient (or derivative) of f plays a crucial role, but it is not the maximizing argument itself.

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Answer:

x = 3

Step-by-step explanation:

We know:

10x - 10 = 5 ( x + 1 )

Distribute/ Multiply:

10x -10 = 5x + 5

Rearrange equation:

10x - 5x = 5 + 10

Combine like terms:

5x = 15

Divide:

x = 3

The probability that randomly selected mechanical component weighs: more than 11.5 lbf is 0.0099, less than 8.7 lbf is 0.3208,  less than 5.0 lbf is 0.0228, between 6.2 lbf and 7.0 lbf is 0.1314, between 10.3 lbf and 14.0 lbf is 0.0436, between 6.8 lbf and 8.9 lbf is 0.3464.

We can use the standard normal distribution and z-scores to answer these questions:

P(X > 11.5) = P(Z > (11.5 - 8) / 1.5) = P(Z > 2.33) = 0.0099

Therefore, the probability that a randomly selected mechanical component weighs more than 11.5 lbf is 0.0099, or about 1%.

P(X < 8.7) = P(Z < (8.7 - 8) / 1.5) = P(Z < 0.47) = 0.3208

Therefore, the probability that a randomly selected mechanical component weighs less than 8.7 lbf is 0.3208, or about 32%.

P(X < 5.0) = P(Z < (5 - 8) / 1.5) = P(Z < -2) = 0.0228

Therefore, the probability that a randomly selected mechanical component weighs less than 5.0 lbf is 0.0228, or about 2%.

P(6.2 < X < 7.0) = P((6.2 - 8) / 1.5 < Z < (7 - 8) / 1.5) = P(-1.2 < Z < -0.67) = 0.1314

Therefore, the probability that a randomly selected mechanical component weighs between 6.2 lbf and 7.0 lbf is 0.1314, or about 13%.

P(10.3 < X < 14.0) = P((10.3 - 8) / 1.5 < Z < (14 - 8) / 1.5) = P(1.53 < Z < 2.67) = 0.0436

Therefore, the probability that a randomly selected mechanical component weighs between 10.3 lbf and 14.0 lbf is 0.0436, or about 4%.

P(6.8 < X < 8.9) = P((6.8 - 8) / 1.5 < Z < (8.9 - 8) / 1.5) = P(-0.47 < Z < 0.60) = 0.3464

Therefore, the probability that a randomly selected mechanical component weighs between 6.8 lbf and 8.9 lbf is 0.3464, or about 35%.

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____The given question is incomplete, the complete question is given below:

Suppose that the weight of a mechanical component is normally distributed with mean p = 8.0 Ibf and standard deviation = 1.5 lbf. Answer the following questions: 1. If you randomly select a mechanical component, what is the probability that it weighs more than 11.5 lbf? 2. If you randomly select a mechanical component, what is the probability that it weighs less than 8.7 lbf? 3. If you randomly select a mechanical component, what is the probability that it weighs less than 5.0 lbf? 5. If you randomly select a mechanical component, what is the probability that it weighs between 6.2 lbf and 7.0 lbf? 6. If you randomly select a mechanical component, what is the probability that it weighs between 10.3 lbf and 14.0 lbf? 7. If you randomly select a mechanical component, what is the probability that it weighs between 6.8 lbf and 8.9 lbf?

Answer:

\(\boxed{x = -31}\)

\(\boxed{y = -62}\)

\(\boxed{z = -6}}\)

Step-by-step explanation:

There are a couple of properties of parallelograms that can help solve for the unknowns

Using property 1 that opposite angles are equal we have:
-4x - 5 = 119

⇒  -4x = 119 + 5

⇒ -4x = 124

⇒ x = 124/-4

⇒ x = -31

Using property 2 that consecutive angles are supplementary on angles
(-y - 1)° and 119°:

(- y - 1) + 119 = 180

⇒ - y - 1 + 119 = 180

⇒ - y + 118 = 180

⇒ - y = 180 - 118

⇒ - y = 62

⇒ y = -62

Using property 2 for angles (-10z - 1)° and 119°
(-10z + 1) + 119 = 180

- 10z + 1 + 119 = 180

⇒ - 10z + 120 = 180

⇒ -10z = 180 - 120

⇒ -10z = 60

⇒ z = 60/-10

⇒ z = -6

Answer:

1. 1.25

2. 0.8

Step-by-step explanation:

1. 2 : 2.5 = 1.25 Ratio from P To Q - 1 : 1.25

2. 2.5 : 2 = 0.8 Ratio from Q to P - 1 : 0.8

1. All you have to do is find the corresponding sides(meaning similar) and the compare them from one to another.

Example:

I know 5 and 4 are corresponding sides because they are similar. The ratio is Q to P we can find by writing them down. It can be written like this.

5:4 is so when we multiply this ratio from any side of Q we will get the correpoding side from P.

5:4 ratio = 1 : 0.8 - So the ratio is 0.8

There this is another ratio that we can compare to.

Now let’s say we need to find when the one of the P side is 4 and what would be the corresponding side.

4 x 1.25(ratio from P to Q) = 5

We can also find when the P side is 3 what would be Q’s corresponding side. Which is the ratio from P to Q or 1.25.

So just multiply 3 by 1.25.

3 x 1.25 = 3.75

3.75 x 0.8 = 3

Answer:

see explanation

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original , then

P → Q = \(\frac{5}{4}\) = 1.25

Q → P = \(\frac{4}{5}\) = 0.8

Answer:

  (c)  Store A, $0.50 cheaper

Step-by-step explanation:

When a price is discounted by a rate d, the multiplier of the price is (1 -d).

The discounted price is $50 × (1 -0.05) = $50×0.95 = $47.50

__

The discounted price is $60 × (1 -0.20) = $60×0.80 = $48.00

__

The price at Store A is less by ...

  $48.00 -47.50 = $0.50

shop = 5 ÷ 100 × 50 = 2.5

shop = 20 - 60 × 100 = 12

shop = $50 - 2.5 = $ 47.5

Shop = $60 - 12 = $48

= $48 .00 - $ 47.50 = $0.50

The approximate cost per calorie, in cents is 9.9 cents, if the total cost to make one batch of soup is $20.

In the table the nutrition information for a chicken noodle soup recipe.

The total calories in one batch of chicken noodle soup is 203 calories

The question ask the approximate cost per calorie, in cents, if the total cost to make one batch of soup is $20

Therefore, cost per calorie = $20/203

cost per calorie = 0.0985

now, 1 dollar = 100 cents

so,  approximate cost per calorie, in cents is 0.0985 × 100

approximate cost per calorie, in cents is 9.85 ≅ 9.9 cents

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The image of table is given below

The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

Now,

We are given the linear equation: \(4x + \frac{1}{2}(10x-4)=6\)

Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).

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A. The 99% confidence interval for the proportion of smartphones that break before the warranty expires is (0.0371, 0.0765).

B. About 99% of the confidence intervals for different samples of 1585 smartphones will contain the true population proportion, and about 1% will not.

A. To construct a 99% confidence interval for the proportion of smart phones that break before the warranty expires, we can use the following formula:

confidence interval = sample proportion ± margin of error

where the sample proportion is the number of smart phones that broke before the warranty expired divided by the total number of smart phones sampled, and the margin of error takes into account the variability of the sample proportion and the desired level of confidence.

The sample proportion is:

p = 90/1585 = 0.0568

The margin of error can be calculated using the formula:

margin of error = z*√(p(1-p)/n)

where z is the z-score that corresponds to the desired level of confidence (99% confidence corresponds to a z-score of 2.576), p is the sample proportion, and n is the sample size.

Plugging in the values, we get:

margin of error = 2.576√(0.0568(1-0.0568)/1585) ≈ 0.0197

Therefore, the 99% confidence interval for the proportion of smart phones that break before the warranty expires is:

0.0568 ± 0.0197, or (0.0371, 0.0765)

B. If many groups of 1585 randomly selected smart phones are selected, then about 99% of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires, and about 1% will not contain the true population proportion.

This is because a 99% confidence level means that 99% of the intervals constructed from different samples will contain the true population proportion, while 1% of the intervals will not.

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The simplified form of given expression 3√{27x^6y^4} is x³y²9√3

In this question, we have been given an expression 3\sqrt{27x^6y^4}

We need to simplify given expression.

3√{27x^6y^4}

= 3√{(3 × 9) x^6 y^4}

= 3√(3 × 9) × √x^6 × √y^4

= 3 (3√3) × x^(6/2) × y^(4/2)

= 9√3 × x³ × y²

= x³y²9√3

Therefore, the simplified form of given expression 3√{27x^6y^4} is x³y²9√3

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Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

The probability that the  proportion will be less than 0.05 is approximately 0.1056, rounded to four decimal places.

We have,

To calculate the probability that the sample proportion will be less than 0.05, we can use the sampling distribution of the sample proportion.

Given that the true proportion is 0.07 and a sample of size 259 is taken, we can assume that the distribution of the sample proportion follows a normal distribution with a mean equal to the true proportion (0.07) and a standard deviation equal to the square root of (p(1-p)/n), where p is the true proportion and n is the sample size.

In this case, the mean is 0.07 and the standard deviation is:

= √((0.07 x (1 - 0.07)) / 259).

To find the probability that the sample proportion will be less than 0.05, we can standardize the value using the z-score formula:

z = (x - mean) / standard deviation

In this case, we want to find P(X < 0.05), which is equivalent to finding P(z < (0.05 - mean) / standard deviation).

Calculating the z-score and using a standard normal distribution table or a calculator, we can find the corresponding probability.

Substituting the values into the formula:

z = (0.05 - 0.07) / √((0.07 x (1 - 0.07)) / 259)

Now, we can find the probability by looking up the corresponding

z-value in the standard normal distribution table or using a calculator.

The probability that the sample proportion will be less than 0.05 is the probability corresponding to the calculated z-value.

Round the answer to four decimal places to get the final result.

Therefore,

The probability that the proportion will be less than 0.05 is approximately 0.1056, rounded to four decimal places.

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The equivalent gates for Figure P7.37 with bubbles on the input lines are (a) NOR gate and (b) AND gate.

(a) A bubble on the input of a gate represents inversion. In the case of (a) A B C = A + B, the bubble is on the output of the OR gate, indicating that the output is inverted. Thus, the equivalent gate is a NOR gate, which is an OR gate with an inverted output. The equation for the NOR gate is A B C = (A + B)'.

(b) Similarly, in (b) D E F = D E, the bubble is on the input of the AND gate, indicating that the input is inverted. Thus, the equivalent gate is an AND gate with an inverted input. The equation for the AND gate with an inverted input is D E F = D' E'.

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