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The solution of the expression [-5 x (-3)³/ (-5)] - (-3) x (-7) is 6.

The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.

Given:

An expression,

[-5 x (-3)³/ (-5)] - (-3) x (-7).

Solving the expression, with the help of PEMDAS,

Simplifying,

[-5 x (-3)³/ (-5)] - (-3) x (-7).

= [-5 x -27 / (-5)] - (-3) x (-7).

= -27 - 21

= 6

Therefore, the solution is 6.

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Answer:

-48

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

2*3=6

.

..

...

i really don't know what else to say?

Step-by-step explanation:

I hope u understand how u got 3

The total number of tests they can grade in 3 hours are 90.

What is graded test?

Your grade in an exam or written assignment is the letter or number you receive as a mark that represents your level of proficiency.

A graded exercise test (GXT) is a screening tool for determining a person's level of fitness. The test measures the cardiovascular response to exercise in order to assess the participant's capacity for exercise.

Since, the number of minutes in 3 hours is:

= 3 x 60 minutes per hour

= 3 x 60

= 180 minutes

The number of tests that Sam can grade in these 3 hours is therefore:

= ( Number of total minutes / Minutes taken by Sam for 6 tests) x 6 tests

= ( 180 / 24) x 6

= 45 tests

The number of tests that Ben can grade are:

= ( Number of total minutes / Minutes taken by Ben for 5 tests) x 5 tests

= ( 180 / 20 ) x 5

= 45 tests

So, the total number of tests they can grade in 3 hours is:

= 45 + 45

= 90 tests

Hence, the total number of tests they can grade in 3 hours are 90.

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Answer:

The answer is A.

To find speed/rate of change, divide distance by time.

7 mi/ 1 hour= 7 mph

14 mi/2 hour= 7mph

Step-by-step explanation:

Answer: A.7 miles per hour

Step-by-step explanation:

Given: You run 7 miles in one hour and 14 miles in two hours.

We know that .. The rate of change of function= (change in distance)/(change in time)

Therefore, the rate of change of function for the given situation= (14-7)/(2-1)= (7)/(1)

Hence the rate of change of function for the given situation= 7 miles per hour.

Step-by-step explanation:

as the following pic answer should be × -2

Answer:

O -2(x+y=8)

Step-by-step explanation:

If you put the problems beside each other, they look like this;

2x + 5y = 24

  x + y = 8

So you are trying to find a way to simplify the x's

Step 1;

See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.

In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0

Step 2:

if you multiply, you have to do it to the entire problem;

-2(x + y = 8)    (-2 times x, -2 times y, -2 times 8)

-2x + -2y = -16

Step 3:

Go back to your original problem and work it out;

2x + 5y = 24

-2x + -2y = -16

2x and -2x cancel each other out so now you only have;

5y = 24

-2y = -16

Step 4:

Combine like terms;

5y = 24

-2y = -16

3y = 8

Divide by 3

y = 2.6

Answer:

2*10^3

Step-by-step explanation:

8*10^6=800000

4*10^3=4000

8000000/4000

Zeros cancel out so it’s now: 8000/4=2000 or 2*10^3

Awareness about Advocacy Campaign can be raised through:

This simply involves the use of Mass media to make public the ideas being advocated for. Examples of Mass Media are Radio, Cable T.V., and even the Internet.

Advocacy by a press conference is a situation where the press are invited to a conference where the ideas of the Advocacy group are discussed.

This usually works with prominent figures and advocacy groups that have garnered traction and whose news is worth following.

An advocacy Campaign refers to the effort of a body or an individual to create awareness about a goal they are trying to achieve on behalf of another group, person, place, or organization.

Some examples of Advocacy Campaigns are:

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The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

arrange to standard form   (x-h)^2   + (y-k)^2 = r^2     h,k = center   r = radius

x^2 - 4x        +    y^2 + 2y   =   4        complete the square for 'x' and 'y'

(x-2)^2    -  4    +    (y-1)^2  -1  = 4

(x-2)^2    +  ( y-1)^2  = 4 + 4 + 1 = 9           '9' is equal to r^2  so r = 3

center = 2,1     radius = 3

Answer:

you're welcome!!!

Step-by-step explanation:

The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

x = 5

Step-by-step explanation:

7x + 3(5-3x) = 5

7x + 15 - 9x = 5

-2x + 15 = 5

-2x = 5 - 15

-2x = -10 ÷ 2

x = 5

Answer:

something missing.............

x=2

10-2(2x+1)=4(x-2)

10-4x-2=4x-8

10-2=8x-8

8=8x-8

16=8x

2=x

Answer:

X = 2

Step-by-step explanation:

\( \sf \: First, solve \: the \: brackets. \)

\( \sf \: 10 - 2(2x + 1) = 4(x - 2) \\ \sf10 - 4x - 2 = 4x - 8 \: \: \: \: \: \: \: \)

\( \sf \: Combine \: like \: terms .\)

\( \sf8 - 4x = 4x - 8\)

\( \sf \: Subtract \: 4x \: from \: both \: sides \: to \: remove \: 4x.\)

\( \sf \: 8 - 4x - 4x = 4x - 8 - 4x \\ \sf8 - 8x = - 8\)

\( \sf \: Subtract \: 8 \: from \: both \: sides \: to \: remove \: 8.\)

\( \sf8 - 8 - 8x = - 8 - 8 \\ \sf - 8x = - 16\)

\( \sf \: Divide \: both \: sides \: by \: -8.\)

\( \sf \: x = 2\)

The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

Various kinds of equations: Algebraic math equations include the following.

Equation with Lines;

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

A third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2

Given ,

tank 1 = 120 - 1/2x

tank 2 =100 - 1/4x

Therefore 120-1/2x = 100-1/4x

So we can conclude that  the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.

120x + 1/2 = 100x + 1/4

120 + 1/2x = 100 + 1/4x

120x - 1/2 = 100x - 1/4

120 - 1/2x = 100 - 1/4x

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Answer:

From my experience there are about 12 cups of flour in 6 dozen muffins

Answer:

When you get your blood pressure numbers, there are two of them. The first, or “top” one, is your systolic blood pressure. The second, or “bottom,” one is diastolic blood pressure.

Step-by-step explanation:

The probability that no two of them celebrate their birthday in the same month is very low.

There are 12 months in a year, so the probability that the first person has a birthday in a particular month is 1/12. The probability that the second person does not have a birthday in the same month is 11/12, since there are 11 months left that the second person's birthday can fall in. The probability that the third person does not have a birthday in any of the two previously chosen months is 10/12, and so on.

Therefore, the probability that none of the 12 people have a birthday in the same month is:

P = (1/12) x (11/12) x (10/12) x ... x (2/12) x (1/12)

which is approximately 0.00010578, or about 0.01%.

So the probability that no two of them celebrate their birthday in the same month is very low.

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The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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To estimate the number of observations that are more than 74, we can use the properties of the normal distribution.

Given that the data are drawn from a bell-shaped distribution with a mean of 50 and a standard deviation of 12, we can calculate the z-score for the value of 74.

The z-score is a measure of how many standard deviations a value is away from the mean in a normal distribution. It is calculated using the formula:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

In this case, we can calculate the z-score for x = 74 as:

z = (74 - 50) / 12 = 2

Once we have the z-score, we can use a standard normal distribution table or calculator to find the proportion of observations that are above this z-score. The z-score of 2 corresponds to approximately 0.9772 on the standard normal distribution table.

To estimate the number of observations more than 74, we multiply this proportion by the total number of observations (250):

Number of observations more than 74 = Proportion above 74 * Total number of observations

= 0.9772 * 250

≈ 244

Therefore, approximately 244 observations out of the 250 are expected to be more than 74.

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Answer:

sqrt(x^2+y^2)

Step-by-step explanation:

x^2+y^2=z^2 (Pythagorean theorem)

sqrt(x^2+y^2)=sqrt(z^2)

sqrt(x^2+y^2)=z

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

Answer:

  θ = {π/6, 5π/6} +2kπ . . . . for any integer k

Step-by-step explanation:

Multiplying by the product of the denominators, we can simplify this to ...

  sin(θ)² +(1+cos(θ))² = 4sin(θ)(1+cos(θ))

  sin(θ)² +1 +2cos(θ) +cos(θ)² = 4sin(θ)+4sin(θ)cos(θ)

  2 +2cos(θ) = 2sin(θ)(2 +2cos(θ)) . . . . show similar factors

  2(2sin(θ) -1)(1 +cos(θ)) = 0 . . . . subtract left side, complete the factoring

These factors are zero when ...

  2sin(θ) -1 = 0   ⇒   sin(θ) = 1/2   ⇒   θ = π/6, 5π/6

  1 +cos(θ) = 0 . . . . . extraneous solution; makes equation undefined

__

Solutions are periodic with period 2π, so the complete solution set is ...

 θ = {π/6, 5π/6} +2kπ . . . . for any integer k

The bold italic N symbol in mathematics represents the set of natural numbers.

The natural numbers are a subset of the real numbers that includes all positive integers, starting from 1 and going on infinitely. The symbol is often written as ℕ, with a bold and italicized letter N, to distinguish it from other similar symbols.

The set of natural numbers is commonly denoted as:

ℕ = {1, 2, 3, 4, 5, ...}

The natural numbers are used in many areas of mathematics, such as number theory, combinatorics, and algebra. They are also used in practical applications, such as counting and measuring quantities of discrete objects, such as people, animals, or items in a collection.

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Rationalizing the numerator, it is found the result of the limit is given as follows:

\(\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{1}{2\sqrt{x}}\)

A limit is given by the value of function f(x) as x tends to a value.

The first step to find the limit is replace the variable by the value, hence:

\(\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} = \frac{0}{0}\)

Undefined limit, hence we have to find another way. The numerator includes square roots, hence it should be rationalized using the subtraction of perfect squares, as follows:

\(\lim_{h \rightarrow 0} \frac{(\sqrt{x + h} - \sqrt{x})}{h} \times \frac{(\sqrt{x + h} + \sqrt{x})}{(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{(\sqrt{x + h})^2 - (\sqrt{x})^2}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{x + h - x}{h(\sqrt{x + h} + \sqrt{x})} = \lim_{h \rightarrow 0} \frac{h}{h(\sqrt{x + h} + \sqrt{x})}\)

Then we simplify the h, so:

\(\lim_{h \rightarrow 0} \frac{1}{\sqrt{x + h} + \sqrt{x}} = \frac{1}{2\sqrt{x}}\)

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(A) Its initial speed was 21.76 m/s.

(B) The actual altitude is (18+ 6.17) m = 24.17 m

(C) Time elapsed since it was thrown is 2.22 sec

(D) 4.44 sec will it take the baseball to reach ground again, counting from the moment it passed the window upward.

Part A:

Let u be the starting velocity.

At a height of 18 meters above the earth, the velocity is stated as 11 m/s.

Next applying equation

v² = u² +2as, where a refers to acceleration and s refers to displacement

substituting the values

11² = u² - 9.8×18 (Since given that the ball going upward a=g = gravitational acceleration= 9.8 m/s2 )

u = √(121 + 352.8)

u = 21.76 m/s

Part B:

After the building's window, let the ball's altitude be H.

Using the equation once more

v² = u² +2as

0 = 11² - 2 × 9.8 × H (since once at altitude, the final velocity will be zero.)

We get,

H= 121/19.6

H = 6.17 m

So the actual altitude is (18+ 6.17) m = 24.17 m

Part C:

Let the time elapsed is t

The using the equation v= u +at

0 = 21.76 - 9.8 × t

t = 2.22 sec

Part D:

The time taken by the baseball will be exactly double the time taken to reach the highest altitude that is 2.22 sec.

So the time is 2.22×2 = 4.44 sec.

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Answer:

a = 9 ; b = 26 ; c = 24

Step-by-step explanation:

(x^2+3x+2x+6)(x+4)

(x^2+5x+6)(x+4)

x^3+5x^2+6x+4x^2+20x+24

x^3+9x^2+26x+24

Answer:

2 solutions

-4 and 4 are possible answers

Step-by-step explanation:

In linear algebra, a subspace of a vector space is a subset of vectors that satisfies certain properties.

(a) To show that {(x1, x2)T | x1 + x2 = 0} forms a subspace of R2, we need to show that it satisfies the three conditions for a subspace:

i. The zero vector is in the set: (0,0)T is in the set because 0 + 0 = 0.

ii. The set is closed under addition: Let (a,b)T and (c,d)T be in the set. Then a + b = 0 and c + d = 0. We need to show that (a + c, b + d)T is also in the set. (a + c) + (b + d) = (a + b) + (c + d) = 0 + 0 = 0, so (a + c, b + d)T is in the set.

iii. The set is closed under scalar multiplication: Let (a,b)T be in the set and let c be a scalar. We need to show that c(a,b)T is also in the set. c(a,b)T = (ca, cb)T, and ca + cb = c(a + b) = c(0) = 0, so c(a,b)T is in the set.

Since the set satisfies all three conditions for a subspace, we can conclude that {(x1, x2)T | x1 + x2 = 0} forms a subspace of R2.

(b) To show that {(x1, x2)T | x21 = x22} does not form a subspace of R2, we only need to show that it fails one of the conditions for a subspace.

Take (1, -1)T and (1, 1)T, which are both in the set since 12 = (-1)2. However, their sum (2, 0)T is not in the set since 22 ≠ 0. Therefore, the set is not closed under addition and does not form a subspace of R2.

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The answer of the given question based on the describing and correct the error in graph with  the function y = -√x + 5 the explanation is given below,

In mathematics,  function is  relation between  set of inputs (called domain) and  set of possible outputs (called  range), with  property that each input is associated with exactly one output. Functions are widely used in mathematics, science, and engineering to model relationships between variables and to solve problems.

Functions can be defined in different ways, but  most common way is using  rule that assigns each input value in  domain to unique output value in range. This rule can be expressed using equation,  graph, table, or  verbal description.

The graph of the function y = -√x + 5 shown in the provided image has an error in the negative part of the x-axis.

The error in the graph is that the negative values of x are not included in the domain of the function y = -√x + 5 because square root of negative number is not  real number. Therefore, the graph of this function is only defined for non-negative values of x.

To correct the error in the graph, we need to restrict the domain of the function to non-negative values of x. We can do this by adding an open circle at the point (0,5) to indicate that the function is not defined for negative values of x, and we can draw the graph of the function only for non-negative values of x.

The corrected graph of the function y = -√x + 5 will be a curve starting at the point (0,5) and decreasing towards negative infinity as x approaches infinity. The curve will be contained entirely in the first quadrant of the coordinate plane.

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