I need help with this question Please and thank you

Answer:

(x+4)x(x-9)

Step-by-step explanation:

x^2 - 5x -36

x^2 +4x-9x-36

x (times) (x+4)-9x-36

x x (x+4)-9(x+4)

(x+4)x(x-9)

Step-by-step explanation:

hope it is helpful to you

Answer:

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

Step-by-step explanation:

Fraction of Portion

Suppose we have a number n and another number m such as m>n. The portion or fraction of size n of m is given by the quotient n/m.

For example, 3 pieces of cake out of a total of 6 make them a fraction of 3/6 = 1/2 of the whole cake, i.e. half of the total available.

Mrs. Manning needs 1/3 cup of flour to make cookies for the bake sale. She actually has 3/4 cups of flour. Calculate the fraction of needed against the available flour:

\(\displaystyle \frac{\frac{1}{3}}{\frac{3}{4}}\)

The division can be easier performed by multiplying by the reciprocal of the denominator:

\(\displaystyle \frac{1}{3}\cdot \frac{4}{3}=\frac{1*4}{3*3}\)

\(\displaystyle =\frac{4}{9}\)

The fraction of the flour Mrs. Mannng will use for her chocolate chip cookies is 4/9

Answer: you draw a number line, then plug your numbers in.

Step-by-step explanation: 5+8 = 13 so you would put 5+8 in between 12 and 14 on the number line.

The sum of the numbers 5 and 13 will be 18.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The given numbers are 5 and 13. The value will be calculated by taking the numbers from 0 to 5 on the number line and then from 0 to 13 on the number line.

The general algebraic method of calculating the sum is given as:-

Sum = 5 + 13 = 18

Therefore, the sum of the numbers 5 and 13 will be 18.

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One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Answer:

Step-by-step explanation:

Volume of a cone V = 1/3πR²h

r is the radius

h is the height

Given

dV/dt = 18ft³/min

h = 10ft

dimeter = 12ft

radius = 6ft

according to similar triangles

R = 6/10 h

R = 3/5 h

The volume becomes

V = 1/3πR²h

V = π/3(3h/5)²h

V = π/3 9h²h/25

V = 9h³π/75

dV/dt =  dV/dh * dh/dt

dV/dt = 27h²π/75dh/dt

Substitute the given values

18 = 27(10)²π/75dh/dt

18 = 2700π/75dh/dt

18 = 36π dh/dt

dh/dt = 18/36π

dh/dt = 1/2π

dh/dt = 1/2(3.14)

dh/dt = 1/6.28

dh/dt = 0.1592ft/min

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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Let the two number is a and b

so,

product =ab=20

sum of square=\(\bold{a^2+b^2=41 }\)

Then,

\(\bold{(a+b)^2=a^2+b^2+2ab }\)

\(\bold{ (a+b)^2=41+2×40 }\)

\(\bold{ (a+b)^2=81 }\)

\(\bold{a+b=\sqrt{81} }\)

\(\bold{a+b=9 }\)•••••••••(equation I)

Now,

\(\bold{(a-b)^2=a^2+b^2-4ab }\)

\(\bold{ (a-b)^2=41-4×20 }\)

\(\bold{(a-b)^2=41-40 }\)

\(\bold{a-b=\sqrt{1} }\)

\(\bold{a-b=1 }\)••••••••(equation II)

Now,combine the equation I and equation II

we,get

\(\bold{a+b+a-b=9+1 }\)

\(\bold{a+\cancel{b}+a\cancel{-b}=10 }\)

\(\bold{ 2a=10 }\)

\(\bold{a=\dfrac{10}{2} }\)

\(\blue{\boxed{ a=5 }}\)

Then,

put the value of a in equation II.

we get that,

\(\bold{5-b=1 }\)

\(\bold{b+1=5 }\)

\(\bold{b=5-1 }\)

\(\bold{\boxed{\blue{b=4}} }\)

so,

The two number is 5 and 4.

g-1(x) = ex - 1 is the inverse οf the functiοn g(x) = lοg(x + 1) as taking away 1 frοm bοth sides .

A functiοn is a mathematical fοrmula that gives each input value in a set an individual οutput value. Tο put it anοther way, a functiοn is a cοnnectiοn between twο sets where each element in the first set (referred tο as the dοmain). There are several methοds tο express a functiοn, including with a graph, a table οf values, οr a fοrmula. Mοst frequently, a fοrmula οr equatiοn is used tο represent a functiοn.

We need tο sοlve fοr x in terms οf g in οrder tο derive the inverse functiοn g-1(x) οf g(x) = lοg(x + 1). (x).

We can expοnentiate bοth sides by starting with g(x) = lοg(x + 1) and using the definitiοn οf lοgarithms:

G(x) = lοg(x + 1) = e(x)

\(e^{(g(x))} = x + 1\)

Hence, by taking away 1 frοm bοth sides, we can isοlate x:

\(x = e^{(g(x))} - 1\)

Inverse functiοn g-1(x) is thus:

\(g-1(x) = e^x - 1\)

Hence, g-1(x) = ex - 1 is the inverse οf the functiοn g(x) = lοg(x + 1) as taking away 1 frοm bοth sides .

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Answer:

tassler said she doesn't know what to do with the out of my mind blowing up with me and I have to go to sleep please dont be sorry I was

Answer:

C

Step-by-step explanation:

Because the ratio at the short axis to the long axis is 4/5 in A and B but that is 3/5 in C.

Answer:

7 1/2

Step-by-step explanation:

Convert 7 1/2 to a decimal then multiply it by 1.6 to get 12.00 then add 48 to get 60.

P.S i got it right

Answer:

7.7

Step-by-step explanation:

I did it on edu!

You can use the fact that area of a rectangle is its length times its width.

The length of the given rectangle is 28 feet.

Area of a rectangle is its length times its width.

If a rectangle has length x units and width y units, then we have:

\(Area = x \times y \: \rm unit^2\)

Most of the times, you will get some other facts or information by which the unknown values of those items can be known. For simple daily life cases, we can use variables, which are nothing but just placeholders for those unknown values. We can then operate on those variables assuming them to be actual values, thus, getting near to their original values.

Let the length of the given rectangle be x units, and let its width be y

Then as it is given that

Length of the rectangle = 2 times width of the rectangle

or

\(x = 2 \times y\)

We have area= 392 square feet

Since area = length times width, thus, we have

\(Area = x \times y\\392 = 2 \times y \times y\\\\\dfrac{392}{2} = y^2\\\\y^2 = 186\\\\\text{\:(Taking positive root on both the sides since y is width, a non negative quantity)}\\\\y = \sqrt{196} = 14\)

Thus, the width of the rectangle is 14 feet

And thus, the length of the rectangle = double of width = 28 feet.

Thus,

The length of the given rectangle is 28 feet.

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The length of CD is approximately 27.931 meters.

To find the length of CD, we can use the concept of similar triangles and trigonometric ratios.

Let's start by drawing a diagram to visualize the situation:

      A----------B

     /           /

    /           /

   /           /

  D----------C

  |

  |

  |

  F

We are given that road AB slopes at 10.2 degrees to the horizon and road BC slopes at 6.3 degrees to the horizon. From the diagram, we can see that angle DAF is the same as the slope angle of road AB (10.2 degrees), and angle DCF is the same as the slope angle of road BC (6.3 degrees).

Now, we can set up the following trigonometric equations using the given information:

tan(10.2 degrees) = CD / AD (equation 1)

tan(6.3 degrees) = CD / BF (equation 2)

Since AD and BF are perpendicular, we can consider them as vertical heights. Let's calculate the lengths of AD and BF.

For road AB, we can use the definition of tangent:

tan(10.2 degrees) = height AB / length AB

Solving for the height AB, we have:

height AB = tan(10.2 degrees) * length AB

height AB = tan(10.2 degrees) * 800m

height AB ≈ 147.294m

Similarly, for road BC:

height BC = tan(6.3 degrees) * length BC

height BC = tan(6.3 degrees) * 300m

height BC ≈ 33.706m

Now, we can substitute these values into equations 1 and 2:

tan(10.2 degrees) = CD / 147.294m (equation 1)

tan(6.3 degrees) = CD / 33.706m (equation 2)

Solving equation 1 for CD:

CD = tan(10.2 degrees) * 147.294m

CD ≈ 27.931m

Therefore, the length of CD is approximately 27.931 meters.

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Answer:

8:12

Step-by-step explanation:

2+3=5

20/5=4

2x4=8

3x4=12

Answer:

(-3,2)

Step-by-step explanation:

you go to the left by 3 (negative), then you went up by 2 (positive). You always do x (horizontal) before y (vertical).

:)

Answer:

Step-by-step explanation:

Answer:

nope

Step-by-step explanation:

The normal range using a compound inequality is 1.5 < x < 4

From the question, we have the following parameters that can be used in our computation:

pH values less than 4

pH values greater than 1.5

Represent the pH values with x

Using the above as a guide, we have the following:

x is less than 4

x is greater than 1.5

When represented as inequality, we have

x < 4 and x > 1.5

Combine the inequalities

1.5 < x < 4

Hence, the normal range is 1.5 < x < 4

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Answer:

I'm not completely sure about the first one, but #8 is 0.0419, and #9 is 30500.

Answer:

1:10 p.m.

Step-by-step explanation:

First, add 20 minutes to 8:50 a.m. That would be 9:10 a.m. Then, add the remaining 4 hours to the 9:10 a.m. to get your answer- 1:10 p.m.

The equation of the line in vector and parametric form is found to be R = -i+j-4k + λ(-3j-2k) and x+1/0 = y-1/-3 = z+4/-2 = t.

The line pass through the point P (-1,1,-4) and parallel to the vector (0, -3, -2).

Now, the vector form of the line is given by,

R = A+λB

Where, A is the point from which line pass, B is the parallel vector and λ is the scalar.

Putting values,

R = -i+j-4k + λ(-3j-2k)

Now, the parametric form of the equation will be,

x-a/m = y-b/n = z-c/l

Where, m, n, l are the direction ratios of the line that are equal to the vector that is parallel and a, b, c are the direction cosines of the line that are the point through which the line passes. So,

x+1/0 = y-1/-3 = z+4/-2 = t

Where t is any parameter.

So, the vector and parametric form of the equation of line are R = -i+j-4k + λ(-3j-2k) and x+1/0 = y-1/-3 = z+4/-2 respectively.

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Using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders.

The Least Cost Method is a method of solving transportation problems. The allocation starts by allocating with the cell or column with the minimum cost.

The lower-cost cells are first chosen over the higher-cost cells to obtain the least cost of transportation.

                        Toronto        London

Demand           200 cases   240 cases

Hamilton = 300 cases

Waterloo = 200 cases

                        Toronto        London

Hamilton           $0.50           $0.60

Waterloo           $0.70           $0.65

                        Toronto                              London

Hamilton           $100 (200 x $0.50)        $144 (240 x $0.60)

Waterloo           $140 (200 x $0.70)        $156 (240 x $0.65)

The number of cases that should be shipped from each warehouse to minimize transportation costs is as follows:

                        Toronto             London

Hamilton         200 cases         100 cases (at a total cost of $60)

Waterloo         0 case               140 cases (at a total cost of $91)

Total               200 cases        240 cases

Total transportation

costs       $100 (200 x $0.50)  $151 (100 x $0.60 + 140 x $0.65)

Thus, using the Least Cost Method, 200 cases should be shipped to Toronto from Hamilton and 100 cases from Hamilton to London with the remaining 140 cases shipped from Waterloo to London to complete the orders with the total transportation cost incurred for the two orders from Toronto and London as $251.

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Answer: the answer is 6

Step-by-step explanation:

\(\frac{(2x+8)}{3} \\\frac{[2(5)+8]}{3} \\\frac{(10+8)}{3}\\\frac{18}{3} \\6\)

you should put the 5 where x is visible since x=5 then start simplifying then you get your final answer as 6

Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

To solve the system of equations, let's substitute the value of x from the first equation into the second equation:

x = 4y

8 + 2y = 4y

Simplifying the equation, we get:

8 = 2y

Dividing both sides by 2:

4 = y

Now, substitute the value of y back into the first equation to find x:

x = 4y

x = 4(4)

x = 16

Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.

The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

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Answer:

38 cm

Step-by-step explanation:

The perimeter of a rectangle is given by

P =2(l+w)

P =2( 2x+1  + x)

Combine like terms

P = 2(3x+1)

Distribute

P = 6x+2

Let x=6

P = 6*6+2

   = 36+2

   = 38 centimeters

The perimeter of a rectangle is given by

P =2(l+w)

P =2( 2x+1  + x)

Combine like terms

P = 2(3x+1)

Distribute

P = 6x+2

Let x=6

P = 6*6+2

   = 36+2

   = 38 centimeters

\( \tt \verified \red{ \: \: \: \checkmark}\)

Answer:

$7.00

Step-by-step explanation:

there is a total of $35,000 worth of prizes being given out for 5,000 tickets.  We can find the expected value for each ticket by dividing 35,000/5,000.  This equals $7.00.

The correct equation is

Expected value for a ticket = 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

A charity event is any gathering whose main goal is to raise money for a nonprofit, cause, or organisation.

We have,

Car is the gift offered and the car is worth 30000

Tickets sold = 5000

Out of 500 tickets, one ticket would fetch the car worth 30000 dollars and five gift cards will bring 100 dollars

So, the Expected value for a ticket

= 29980 (1/5000) + 80 x 5(5/5000) - 20(4994/5000)

=5.996+0.4-19.976

=-13.58

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