Número que sumado da 4 y multiplicado 5

Answer:

18

Step-by-step explanation:

The arrows on lines AB and CD indicate that these 2 shapes are similar and these 2 lines are corresponding so :

Linear scale factor :

12 ÷ 10 = 1.2 or 6/5

Let's use the fraction form

Using the linear scale factor we can make an equation to solve for x :

2x+4 = 6/5(x+8)

Expand the brackets :

2x+4 = 6/5x + 9.6

Subtract 4 from both sides :

2x = 6/5x + 5.6

Subtract 6/5x from both sides :

4/5x = 5.6

Divide both sides by 4/5 :

x = 7

Now substitute this value into the expression for the length of AE :

AE = 2(7) + 4

AE = 14 + 4

AE = 18

Hope this helped and have a good day

Answer:

116 units

Step-by-step explanation:

AE + ED = 180 because they make a straight angle and a straight angle is 180 degrees or half of a circle 360/2.

AE = 2x + 4 and ED = x +8 added together they equal 180

2x + 4 + x + 8 = 180  Combine the like terms

3x + 12 = 180  Subtract 12 from both sides of the equation

3x = 168  Divide both sides by 3

x = 56

Now that we know that x is 56 we can plug that in for AE to find its length

2x + 4

2(56) + 4

112 + 4

116

By using algebra properties, each package must contain an amount of 1 / 2 pounds of hamburger meat.

According to this statement, we have a total amount of hamburger meat and we are asked to put the same of quantity of meat in each package. This amount can be found by dividing the total by the number of packages:

m = (9 + 1 / 2) / 19

m = (19 / 2) / 19

m = 19 / 38

m = 1 / 2

By using algebra properties, each package must contain an amount of 1 / 2 pounds of hamburger meat.

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To calculate how many years it will take for Mary's house loan premium to reach $898.90, we need to use the formula for compound interest:

A = P * (1 + r/100)^n

where A is the final amount, P is the initial amount (premium), r is the annual interest rate, and n is the number of years.

Substituting the given values:

$898.90 = $712 * (1 + 6/100)^n

Solving for n:

$898.90/$712 = (1 + 6/100)^n

Taking the natural logarithm of both sides:

ln($898.90/$712) = n * ln(1 + 6/100)

Dividing both sides by ln(1 + 6/100):

n = ln($898.90/$712) / ln(1 + 6/100)

Using a calculator to approximate the value, we get:

n = approximately 8.68 years

Therefore, it will take Mary approximately 8.68 years for her house loan premium to reach $898.90.

Using Pythagoras Theorem, The height of the screen is approximately 27.18 inches.

Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.

We can use the Pythagorean theorem to solve this problem. Let's call the height of the screen "h". Then, according to the Pythagorean theorem, we have:

\(h^2 + 32^2 = 42^2\)

Simplifying this equation, we get:

\(h^2 + 1024 = 1764\)

Subtracting 1024 from both sides, we get:

\(h^2 = 740\)

Taking the square root of both sides, we get:

\(h = \sqrt{(740)}\)

Using a calculator to approximate the square root, we get:

h ≈ 27.18 inches

Hence, the height of the screen is approximately 27.18 inches.

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The probability of producing less than 239,000 barrels is 0.8413.

The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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Answer: 5/96

Step-by-step explanation:

The value of the flux of F = zi over S1 is -4π/3.

We have,

To calculate the flux of F = zi over S1, we can use the surface integral formula:

Φ = ∬S F ⋅ ds

where F = zi represents the vector field and ds represents the vector normal to the surface element.

Given that S is the ellipsoid defined by (x/7)² + (y/6)² + (z/4)² = 1, we can parametrize S using a modified form of spherical coordinates as follows:

x = 7r sin(θ) cos(φ)

y = 6r sin(θ) sin(φ)

z = 4r cos(θ)

where 0 ≤ r ≤ 1, 0 ≤ θ ≤ π/2, and 0 ≤ φ ≤ π.

Next, we need to find the normal vector ds to the surface element.

The unit normal vector at any point on the surface of the ellipsoid is given by:

ds = (dsx, dsy, dsz) = (±(7/|r|)sin(θ)cos(φ), ±(6/|r|)sin(θ)sin(φ), ±(4/|r|)cos(θ))

Since we are interested in the portion of S where x, y, z ≤ 0, we choose the negative sign for each component of the normal vector.

Now, let's compute the flux Φ using the surface integral formula:

Φ = ∬S F ⋅ ds

= ∬S (zi) ⋅ (-7sin(θ)cos(φ), -6sin(θ)sin(φ), -4cos(θ)) ds

Since F only has a non-zero component in the z-direction, the dot product simplifies to:

Φ = ∬S zi ⋅ (-4cos(θ)) ds

= -4 ∬S z cos(θ) ds

To evaluate this integral, we need to express z in terms of the parametrization.

From the equation of the ellipsoid, we have:

z = 4r cos(θ)

Substituting this into the integral expression:

Φ = -4 ∬S (4r cos(θ)) cos(θ) ds

= -16 ∬S r cos²(θ) ds

Now, we integrate over the surface S using the parametrization:

Φ = -16 ∬S r cos²(θ) ds

= -16 ∫[0 to π/2] ∫[0 to π] ∫[0 to 1] r cos²(θ) |J| dr dφ dθ

where |J| represents the Jacobian determinant of the transformation, which in this case simplifies to r² sin(θ).

Φ = -16 ∫[0 to π/2] ∫[0 to π] ∫[0 to 1] r³ cos²(θ) sin(θ) dr dφ dθ

Evaluating the innermost integral:

Φ = -16 ∫[0 to π/2] ∫[0 to π] [-r³ cos²(θ) cos(θ)/3] |[0 to 1] dφ dθ

= -16 ∫[0 to π/2] ∫[0 to π] [-cos³(θ)/3] dφ dθ

Evaluating the second integral:

Φ = -16 ∫[0 to π/2] [-π cos³(θ)/3] dθ

Evaluating the first integral:

Φ = [-16/3] ∫[0 to π/2] (π cos³(θ)) dθ

= [-16/3] (π/4) [sin(θ) - sin³(θ)] |[0 to π/2]

Plugging in the limits and simplifying:

Φ = [-16/3] (π/4) [1 - 0]

= -4π/3

Therefore,

The value of the flux of F = zi over S1 is -4π/3.

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Answer:

Um...you really don't. You can convert it into fractions and percentages though.

Fraction: 83/100

Percent: 83%

You can't really simplify a decimal that has already been simplified.

Step-by-step explanation:

I've attached an image showing the data relationship.

Answer:

1) y does not change based on changes in x: no-correlation

2) y tends to increase as x increases: positive correlation

3) y tends to decrease as x increases: negative correlation

Step-by-step explanation:

1) y does not change based on changes in x: This means that there is no correlation between y and x since change in x doesn't affect y.

2) y tends to increase as x increases: This implies positive correlation because the output increases with increase in input.

3) y tends to decrease as x increases: This implies negative correlation because the output decreases with increase in input values.

Answer:

y tends to decrease as x increases: negative!

y tends to increase as x decreases: positive!

y does not change based on changes in x: no correlation!

Step-by-step explanation:

:))

Answer:

4 backpacks

Step-by-step explanation:

3 backpacks can hold 30 pounds. You can't have half a backpack, so you just add another.

Answer:

4

Step-by-step explanation:

There is a high likelihood of a positive correlation between a placement test score and the final grade in a class, although it is not guaranteed.

A placement test is designed to assess a student's knowledge and skills in a particular subject area, and is often used to determine the appropriate starting level for the student in that subject. Since the placement test is intended to measure the student's proficiency in the subject area being tested, a high score on the placement test can indicate a strong foundation of knowledge and skills that may be relevant to the class.

If the class material builds upon the content covered in the placement test, it is reasonable to expect that students who score well on the placement test will have an advantage over those who score poorly, and may perform better in the class. However, other factors such as the difficulty of the class, teaching style, motivation, and prior knowledge may also contribute to a student's final grade in the class. Therefore, while a positive correlation between placement test score and final grade is likely, it is not a guarantee.

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The algebraic expression -26² - 5b + 12 simplifies to 688 - 5b.

To simplify the algebraic expression -26² - 5b + 12, we can follow the order of operations, which states that we need to perform any calculations inside parentheses first, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Let's break down the expression step by step:

-26²: This means -26 squared. Squaring a number means multiplying it by itself. So, -26² is equal to (-26) × (-26), which simplifies to 676.

Now we have 676 - 5b + 12.

Next, we combine like terms. The terms -5b and 12 are constants, so we can add them directly. We get:

676 - 5b + 12 = 688 - 5b.

Therefore, the simplified expression is 688 - 5b. This is the final answer.

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According to the given statement Troy must recognize a gain of $35,200 on his home sale in this situation.

To calculate the gain that Troy must recognize on his home sale in each of the alternative situations, we need to consider the following:

Situation a:
1. Calculate the adjusted basis of the home by subtracting accumulated depreciation from the original purchase price:
  Adjusted basis = Purchase price - Accumulated depreciation
  Adjusted basis = $290,000 - $12,500 = $277,500

2. Calculate the gain on the home sale by subtracting the adjusted basis from the selling price:
  Gain = Selling price - Adjusted basis
  Gain = $312,700 - $277,500 = $35,200

Therefore, in situation a, Troy must recognize a gain of $35,200 on his home sale.


In this situation, Troy rented out the home for a period and then lived in it as his principal residence. The gain is calculated by subtracting the adjusted basis from the selling price.

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Answer:

x = 42-degrees

Step-by-step explanation:

x + 48 = 90 --> *subtract 48 from both sides*

x = 42

Answer:

42

Step-by-step explanation:

Because the entire angle is equal to 90, you have to find 90-48 which is 42.

Answer:

12

Step-by-step explanation:

\(\frac{25.2}{2.1}=\frac{252}{21} =\frac{84}{7}=12\)

Answer:

D

Step-by-step explanation:

She spent $12 and *$ on two separate things, meaning she spent $20 on both.

So, 12 + 8 = 20.

If she started with 25, we subtract 20 from 25 to get how much she has left.

So, 25 - 20 = y.

Therefore, the answer is D.

Answer:

D

Step-by-step explanation:

I agree with the previous answer, it's D.

Sandra spent $12  on apples and $8 on fruit, so you would add.

That's $20, so to find out how much money she has left you do 25 - 20.

Answer:

is 0 is the right answer of this??

Answer:  The factored answer for 36c - 81 is 9(4c−9)

Step-by-step explanation:

Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.

Answer:

Mean: 9.6

Median: 7

Mode: 7

Range: 17

Step-by-step Explanation:

Mean: add all the numbers then divide the sum by how many numbers there are

19 + 7 + 16 + 2 + 10 + 6 + 7 = 67

67 / 7 = 9.57 --> 9.6

Median: arrange your numbers in numerical order, count how many numbers you have (if odd, divide by 2 and round up to the position of a median number, if even, divide by 2 and go to that number in position)

2, 6, 7, 7, 10, 16, 19 (7 numbers = since its odd, divide by 2 which equals 3.5, round it up to 4 and go to the number in the 4th position, in this case 7)

Mode: Put the number in order again and determine which number appears the most

2, 6, 7, 7, 10, 16, 19  = 7 appears twice while the rest only appears once

Range: subtract the lowest value from the highest value

19 - 2 = 17

Step-by-step explanation:

19, 7, 16, 2, 10, 6, 7

In ascending order:

2,6,7,7,10,16,19

mean:

(2+6+7+7+10+16+19)/7

=67/7

=9.6

Median:  7

Mode: 7

Range:

19 - 2 = 17

Answer:

28 oz. for $2.24 cost most per ounce

$12.5 per oz

Step-by-step explanation:

Find the cost per ounce by dividing the total oz by cost of the total oz

60 oz. of peanut butter for $5.40

Cost per the ounce = 60 oz / $5.40

= $11.11 per oz

28 oz. for $2.24

Cost of peanut butter per ounce = 28 oz / $2.24

= $12.5 per oz

16 oz. for $1.76?

Cost of peanut butter per ounce = 16 oz / $1.76

= $9.10 per oz

28 oz. for $2.24 cost most per ounce

Answer:

2^845 is greater than 5^362.

Step-by-step explanation:

To compare the two numbers, we can evaluate them using the logarithm function with base 2 and base 5 respectively.

2^845 = 2^(845 * log2(2)) = 2^(845 * 1) = 2^845

5^362 = 5^(362 * log5(5)) = 5^(362 * 1) = 5^362

The logarithm of a number is the exponent to which the base must be raised to give that number. Since logarithm function is a monotonically increasing function, if we compare log base a of x to log base a of y, logarithm of x is greater than y if x is greater than y.

So 2^845 > 5^362 if 845 > 362 * log5(2)

We can calculate log5(2) = log5(2)/log5(2) = 0.6309

so 845 > 362 * 0.6309

845 > 229.8198

so 845 is greater than 229.8198, therefore 2^845 is greater than 5^362.

Answer:

Step-by-step explanation:

2^845 = 2^5(2^7)^120 = 32(128)^120,

5^362 = 5^2(5^3)^120 = 25(125)^120,

2^845 is bigger.

Problem 6

It's not clear what the instructions are, but I'm assuming your teacher wants you to rationalize the denominator.

If so, then we could have these steps

\(\sqrt{\frac{3\text{x}}{7}}\\\\\frac{\sqrt{3\text{x}}}{\sqrt{7}}\\\\\frac{\sqrt{3\text{x}}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\frac{\sqrt{3\text{x}*7}}{(\sqrt{7})^2}\\\\\frac{\sqrt{21\text{x}}}{7}\\\\\)

In the third step, I multiplied top and bottom by \(\sqrt{7}\) so that the denominator can get rid of the square root.

======================================================

Problem 7

We'll follow the same idea for this problem.

\(\sqrt{\frac{5m^2}{2}}\\\\\frac{\sqrt{5m^2}}{\sqrt{2}}\\\\\frac{\sqrt{5m^2}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\\frac{\sqrt{5m^2*2}}{(\sqrt{2})^2}\\\\\frac{\sqrt{10m^2}}{2}\\\\\frac{\sqrt{10}*\sqrt{m^2}}{2}\\\\\frac{m\sqrt{10}}{2}\\\\\)

Where m is nonnegative.

In the second to last step, I split up the root so I could use the rule \(\sqrt{x^2} = x \text{ when } x \ge 0\)

======================================================

Problem 8

\(\sqrt{\frac{12\text{x}^3}{5}}\\\\\frac{\sqrt{12\text{x}^3}}{\sqrt{5}}\\\\\frac{\sqrt{12\text{x}^3}*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\\\\\frac{\sqrt{12\text{x}^3*5}}{(\sqrt{5})^2}\\\\\frac{\sqrt{60\text{x}^3}}{5}\\\\\frac{\sqrt{4\text{x}^2*15\text{x}}}{5}\\\\\frac{\sqrt{4\text{x}^2}*\sqrt{15\text{x}}}{5}\\\\\frac{\sqrt{(2\text{x})^2}*\sqrt{15\text{x}}}{5}\\\\\frac{2x\sqrt{15\text{x}}}{5}\\\\\)

where x is nonnegative.

Step-by-step explanation:

First I would look at the y intercept. In a linear equation, y = mx + b, b is the y-intercept and m is the slope. This means that (0,6) is a point on the line since at a y-intercept, the x value is 0. First you should plot this point.

Next, the slope is 4, meaning that for every 1 unit to the right, the line rises 4 units. You can count 1 to the right and 4 up from the y-intercept, which gives you (1,10), a second point on the line. After this, you can connect the two points and there you go, you have a graph!

Answer:

\(2^{\frac{1}{27} }\)

Step-by-step explanation:

→ Write in number format

∛∛∛2

→ Rewrite

\(2^{\frac{1}{3} } *2^{\frac{1}{3} } *2^{\frac{1}{3} }\)

→ Simplify

\(2^{\frac{1}{27} }\)

Answer:

2^(1/27).

Step-by-step explanation:

That would be   [(2)^1/3)^1/3]^1/3

= 2^1/3*1/3*1/3)

= 2^(1/27)

Answer:

£39

Step-by-step explanation:

Given data

The sharing formula is

5:3

Let June get £x

Buck gets £26 more than june

Buck = x+26

Applying the part to part ratio method

5/3= x+26/x

cross multiply

3(x+26)= 5x

3x+78= 5x

78= 5x-3x

78= 2x

x= 78/2

x= £39

Hence June get £39

Answer:

Vertex: (-2, -7)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the equation and trace to the vertex. When you do so you should be able to calculate the coordinates of the vertex.

Answer: the answer is (-2,-7)

Step-by-step explanation: APPEX

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

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well, the amount off from the original 125 is just 125 - 87.50 = 37.50.

now, if we take 125(origin amount) as the 100%, what's 37.50 off of it as a percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 125 & 100\\ 37.50& x \end{array} \implies \cfrac{125}{37.50}~~=~~\cfrac{100}{x} \\\\\\ 125x=3750\implies x=\cfrac{3750}{125}\implies x=30\)

To determine what percent off the sale for something was, we need to use the formula for percent off calculation.

What is percent off? The percent off is used to refer to the reduction in price or value of something. The percent off calculation is used to determine the amount of discount in percentage of the original price or value.

What is the formula for percent off calculation? The formula for percent off calculation is as follows:

percent off = (discount / original price) x 100, where,discount = original price - sale price

original price = $125 sale price = $87.50

Substitute the given values into the formula and simplify.

percent off = (discount / original price) x 100percent off =

(($125 - $87.50) / $125) x 100percent off

(37.50 / 125) x 100percent off

⇒ 0.3 x 100percent off = 30%

Therefore, the percent off the sale was 30%.