My question is what is 3+(-7)

The value of a is 20, because the graph of the function passes through the point (-1,20).

The absolute value function f(x) = a|x| is a function that takes a number as input and returns its absolute value, which is its distance from zero. The value of a is a scaling factor that determines how much the graph of the function is stretched or compressed.

In this case, we know that the graph of the function passes through the point (-1,20). This means that when we plug in -1 for x, the function returns 20. So, we have f(-1) = 20.

We can solve for a by substituting f(x) = a|x| into this equation. This gives us a|-1| = 20.

Since the absolute value of -1 is 1, we have a*1 = 20.

Therefore, a = 20.

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Answer:

268.08 in³

Step-by-step explanation:

4/3\(\pi\)r²

4/3\(\pi\)8²

4/3\(\pi\)64

268.08

Answer:

268.08 in³

Step-by-step explanation:

Answer:

901  boys and 1007 girls

Step-by-step explanation:

let b be the number of boys

let g be the number of girls

\(b + g = 1908\\17g = 19b\\g = \frac{19}{17} b\\b+\frac{19}{17} b = 1908\\2\frac{2}{17}b = 1908\\b = 901\\901 + g = 1908\\g = 1007\)

Answer:

Step-by-step explanation:

x + 2 + 57 = 90

x + 59 = 90

x = 31°

x + 2 = 33°

Answer:

x=31

Step-by-step explanation: Since we know Angle A and Angle B are complementary and complementary angles add up to 90 we can set up an equation:

x+2+57=90

x+59=90

x=31

Hope this helps :)

The code sorts the skill array in ascending order.

It then creates a HashMap to store the number of occurrences of each skill level. The left and right pointers are initialized to point to the first and last elements of the skill array. The result variable is used to store the sum of the effectiveness of all teams that can be created. The code then iterates through the skill array using the left and right pointers. If both pointers point to skills that have more than one occurrence, then two of each skill are used to create the team, and effectiveness is added to the result.

If only one pointer points to a skill with more than one occurrence, then one instance of that skill is paired with one instance of the other skill to form a team. Otherwise, if both pointers point to skills that have only one occurrence, then one instance of each skill is used to create the team. In any case, when a team is created, the HashMap is updated accordingly.

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Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

<95141404393>

The correct answer is A. The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then −5 is an eigenvalue of A. In order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ−5. This is because the eigenvalues of a matrix A are the roots of its characteristic polynomial, which is given by det(A-λI) where I is the identity matrix.

If λ+5 is a factor of the characteristic polynomial, then det(A-(λ+5)I)=0. This implies that A has an eigenvector corresponding to eigenvalue -(λ+5), which is -5 in this case. Therefore, 5 is not necessarily an eigenvalue of A. Moreover, the diagonal of A-λI contains the eigenvalues of A, not λ+5 as mentioned in option B. Option C is also incorrect because having λ+5 as a factor of the characteristic polynomial does not necessarily mean that λ=5 is a root of the polynomial. Option D is also incorrect because the factors of the characteristic polynomial are used to determine both the eigenvalues and eigenvectors of a matrix.

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The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then it means that λ=-5 is an eigenvalue of A, not 5. This is because the characteristic polynomial is defined as det(A-λI), where I is the identity matrix and det is the determinant function. Setting λ+5 as a factor means that det(A-(-5)I) = 0, which implies that -5 is an eigenvalue of A.

Therefore, in order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ-5, not λ+5. It is also important to note that while the characteristic polynomial is useful for determining both the eigenvalues and eigenvectors of a matrix, the factors of the polynomial only determine the eigenvalues, not the eigenvectors.

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The partial derivatives ∂T/∂U and ∂U/∂T are approximately -7.548 and -6.416 respectively.

To calculate the partial derivatives ∂T/∂U and ∂U/∂T using implicit differentiation of the equation (TU−V)² ln(W−UV) = ln(13), we'll differentiate both sides of the equation with respect to T and U separately.

First, let's find ∂T/∂U:

Differentiating both sides of the equation with respect to U:

(2(TU - V)ln(W - UV)) * (T * dU/dU) + (TU - V)² * (1/(W - UV)) * (-U) = 0

Since dU/dU equals 1, we can simplify:

2(TU - V)ln(W - UV) + (TU - V)² * (-U) / (W - UV) = 0

Now, substituting the values T = 3, U = 4, V = 13, and W = 65 into the equation:

2(3 * 4 - 13)ln(65 - 3 * 4) + (3 * 4 - 13)² * (-4) / (65 - 3 * 4) = 0

Simplifying further:

2(-1)ln(53) + (-5)² * (-4) / 53 = 0

-2ln(53) + 20 / 53 = 0

To express this fraction in symbolic notation, we can write:

∂T/∂U = (20 - 106ln(53)) / 53

Substituting ln(53) = 3.9703 into the equation, we get:

∂T/∂U = (20 - 106 * 3.9703) / 53

= (20 - 420.228) / 53

= -400.228 / 53

≈ -7.548

Now, let's find ∂U/∂T:

Differentiating both sides of the equation with respect to T:

(2(TU - V)ln(W - UV)) * (dT/dT) + (TU - V)² * (1/(W - UV)) * U = 0

Again, since dT/dT equals 1, we can simplify:

2(TU - V)ln(W - UV) + (TU - V)² * U / (W - UV) = 0

Substituting the values T = 3, U = 4, V = 13, and W = 65:

2(3 * 4 - 13)ln(65 - 3 * 4) + (3 * 4 - 13)² * 4 / (65 - 3 * 4) = 0

Simplifying further:

2(-1)ln(53) + (-5)² * 4 / 53 = 0

-2ln(53) + 80 / 53 = 0

To express this fraction in symbolic notation:

∂U/∂T = (80 - 106ln(53)) / 53

Substituting ln(53) = 3.9703 into the equation, we get:

∂U/∂T = (80 - 106 * 3.9703) / 53

= (80 - 420.228) / 53

= -340.228 / 53

≈ -6.416

Therefore, the partial derivatives are:

∂T/∂U = -7.548

∂U/∂T = -6.416

Therefore, the values of ∂T/∂U and ∂U/∂T are approximately -7.548 and -6.416, respectively.

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Calculate The Partial Derivatives ∂T/∂U And ∂U/∂T Using Implicit Differentiation Of (TU−V)² ln(W−UV) = Ln(13) at (T,U,V,W)=(3,4,13,65).

(Use symbolic notation and fractions where needed.) ∂/∂T= ∂T/∂=

Option b . The slope of line CD is 4/3 is the correct answer.  The lines AB and CD are hypotenuse of a similar triangle there slopes are equal. Other features of a similar triangle applies too.

Triangles are said to be similar when there corresponding angles and sides are congruent. Typically, the proportions of the corresponding sides are equal sides are equal.

Hence similar triangles has equal slope since the slope is a proportion of corresponding sides. The angles are also equal.

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complete question

These triangles are similar. The equation for line AB is given. What is the slope of line CD?

A. The slope of line CD is 5.

B. The slope of line CD is 4/3.

C. There is not enough information to find the slope of line CD.

The probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.

To solve this problem, we can use the fact that the time between arrivals in an exponential distribution follows the exponential distribution with parameter λ, where λ is the rate of arrivals per unit time.

In this case, the rate of arrivals is 15 patients per hour, or λ = 15/60 = 0.25 patients per minute.

Let X be the time between arrivals, then X follows an exponential distribution with parameter λ = 0.25.

To find the probability that a randomly chosen arrival takes more than 12 minutes, we need to calculate:

P(X > 12)

We can use the cumulative distribution function (CDF) of the exponential distribution to calculate this probability. The CDF of the exponential distribution is given by:

\(F(x) = 1 - e^(-λx)\)

So, we have:

P(X > 12) = 1 - P(X ≤ 12)

= 1 - F(12)

= \(1 - (1 - e^(-0.25*12))\)

=\(e^(-3)\)

Therefore, the probability that a randomly chosen arrival takes more than 12 minutes is approximately 0.0498 or 4.98%.

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Answer: x = 20°

Step-by-step explanation:

     These are vertical angles, which means they are congruent and equal to each other.

     Given:

(4x + 30)° = 110°

     Subtract 30° from both sides of the equation:

4x = 80°

     Divide both sides of the equation by 4x:

x = 20°

Answer:x=20

Step-by-step explanation:

Vertical angles Theorem, this means that the two angles are equal to each other.

set equal.

4x+30=110

solve.

4x+30=110

    -30   -30

4x=80

÷4   ÷4

x=20

Answer:

70

Step-by-step explanation:

Let the no of books bought be x

The cost price of 1 book is 5x

No of the missing book is 15

The remaining book is x-15

The selling price of 1 book is 87

Selling price of (x-15) book is 87

Hence the number of books can be calculated as follows

8(x-15)-5x= 90

8x-120-5x= 90

8x-5x= 90+120

3x= 210

x= 210/3

= 70

Hence the number of books bought is 70

Step-by-step explanation:

There are 48.7 cups in total

2/18 of 48.7 cups is needed for volcano

Total amount needed for experiments are :

2/18 of 48.7 = 97.4/18 = 5.411 cups

If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of  that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411

fraction is a mathematical expression representing the division of one whole number by another

Here given that  Rocco has 48.7 cups of flour in his storage unit. He needs 2/18 that amount to use for his homemade volcano.

Hence total number of cups needed for his experiment can be written as :

\(\frac{2}{18}\times \text{Total cups}\)

\(\frac{2}{18}\times 48.7\\\\\\\frac{2}{180}\times 487\\\\\\\\\frac{974}{180}\\\\ = 5.411\)

If Rocco has 48.7 cups of flour in his storage unit and He needs 2/18 of  that amount to use for his homemade volcano then total number of cups needed for his experiment is 5.411

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Answer:

Volume is expressed in cubic units, because it is the sum of three measurements (length, width and depth) multiplied together. Cubic units include cm3, m3 and cubic feet. Volume can also be expressed as liquid capacity.

Step-by-step explanation:

The key features of a dyad are its small size, symmetry, instability, interdependence, and intensity.

A dyad refers to a social relationship between two individuals or groups. In sociology, Georg Simmel was the first to identify the unique features of a dyad. Simmel believed that a dyad has distinct characteristics that make it different from other social relationships. In this answer, we will explore the key features of a dyad according to Simmel.

The first key feature of a dyad is that it is the smallest social group, consisting of only two members. Due to the small size of the dyad, each member has a more significant impact on the relationship's outcome than in a larger social group. In a dyad, each member can have a more direct and intimate connection with the other, creating a more intense emotional bond than larger groups.

The second feature of a dyad, according to Simmel, is that the relationship between the two members is more symmetrical than in larger social groups. This symmetry means that the two members are more equal in terms of their social status, power, and influence in the relationship. This symmetry allows for a more direct exchange of ideas and feelings, which can result in a deeper and more profound relationship.

The third key feature of a dyad is that it is unstable and can easily break down. Since there are only two members in a dyad, if one person leaves or is absent, the entire relationship is dissolved. This instability means that a dyad requires more maintenance and attention than larger social groups.

The fourth feature of a dyad is that the members of a dyad are more interdependent than in larger social groups. This interdependence means that the actions of one member have a more significant impact on the other member than in larger social groups. The members of a dyad rely on each other more heavily for emotional support, validation, and affirmation, which creates a strong emotional bond.

Finally, the fifth key feature of a dyad is that it is more intense and emotional than larger social groups. The intimacy and directness of the relationship create a more profound emotional bond, making the members of a dyad more invested in the relationship's outcome. This intensity can create a sense of exclusivity and a feeling of being in a close-knit group.

In conclusion, according to Simmel, the key features of a dyad are its small size, symmetry, instability, interdependence, and intensity. Understanding these characteristics is essential to understanding the dynamics of dyadic relationships, including romantic relationships, friendships, and other close interpersonal relationships. By examining these key features, we can better understand the unique aspects of a dyadic relationship and its impact on the individuals involved.

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Answer:

10/13

Step-by-step explanation:

-7-(3)

----------

-4-(9)

Answer:

h = 1

Step-by-step explanation:

5h - 2h + 6 = 9h

3h + 6 = 9h

6 = 6h

1 = h

Answer: The answer will be D

Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C

There are 15 different books and 3 each can be arranged on a shelf i.e., there are 15/3 i.e., 5 shelves to arrange the book in the the display case.

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Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

\(\large\boxed{x = -4}\)

Step-by-step explanation:

-2x + 4 = 12

Subtract 4 from both sides of the equation

-2x = 8

Divide both sides of the equation by 2

-x = 4

Transfer the minus (multiply both sides by -1)

\(\large\boxed{x = -4}\)

Hope this helps :)

Answer:

x = -4

Step-by-step explanation:

-2x + 4 = 12

-2x = 8

x = -4

Answer:

50°

Step-by-step explanation:

In parallelogram opposite angles are equal.

So, ∠ABC = ∠ADC

                = 38 + 12

                = 50°

The inequality describing the scenario is d ≤ 80/10 and he can lunch for almost 10 days.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let the no.of days be donated by d.

Given, Tyler has at most $80 to go out and by himself, lunch while at work and he spends about $10 every day.

∴ The inequality that represents this situation is 10d ≤ 80.

d ≤ 80/10.

d ≤ 8.

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Explanation

Let the base be b and height be h. Since the base of the triangle is five more than twice the height we will have;

Given that the area of the triangle is 125 square feet.

Answer:

A) 60 degrees

Step-by-step explanation:

P/Q is in the lowest form as the when the HCF is 1 and if we divide it by 1 P/Q remains same so it is the lowest form ,if P and Q have no common factor other than 1.

It is possible to express rational numbers in the form p/q, where p and q are integers and q≠0.

If there is just one other common factor between the denominator and numerator of a rational number, that number is said to be in its lowest form. In other words, if the HCF of a and b is 1 and a and b are relatively prime, then we can state that a rational number a/b is considered to be in its simplest form.

as described in the above contion in order to reduce any rational number to its lowest form we need to divide both numerator and denominator by the HCF of p,q . suppose if the HCF of p,q is 1 then divide p and q 1 won't change the value of the rational number.

so, now it is shown that the given rational number can't be further deduced and hence we conclude that a rational number is in lowest form when HCF of its numerator and denominatior is equal to 1.

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Complete question:

Write the reason why a rational number written in the form of p/q is said to be in lowest form if P and Q have no common factor other than 1.

Answer:

a) x: 0,1,2,3,4,5,6,7,8

y: 0,8,16,24,32,48,56,64

b) label the horizontal line number of yards. The vertical line is costs, label each unit in 8s.

c) constant of porportionality is 8

d) y=8x