12≥ -4 k (solve for k)

Answer:

I think it can be 3 . Hope it help you

Answer / Explaination:

An equation that represents this problem is b = 52h.

A linear model that represents this equation would look as such (see below)

To predict how many boxes would be produced after an 8 hour shift, you can look at the graph (see additional attatchement) or substitute 8 in for h in the equation.

b = 52(8)

b = 416

The measure of the inscribed angle G in the circle is 85 degree.

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

Since the circle equals 360 degrees, we can determine the intercepted arc DF.

Hence:

Arc DF = 360 - ( 70 + 120 )

Arc DF = 360 - 190

Arc DF = 170°

Now, plug the value into the above formula:

Inscribed angle = 1/2 × intercepted arc.

Inscribed angle G = 1/2 × 170°

Inscribed angle G = 85°

Therefore, angle G has a measure of 85 degree.

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The expressions are simplified to;

1. 72n² + 63n

2. 18t - 18t²

3. -18b² - 18b

4. -56r - 21r²

5. -6m + 9m²

Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.

These algebraic expressions are also made up of mathematical or arithmetic operations.

These operations are;

From the information given, we have;

1. -9n (-8n -7)

expand the bracket

72n² + 63n

2. -2t(-9 + 9t)

expand the bracket

18t - 18t²

3. -3b(6b + 6)

expand the bracket

-18b² - 18b

4. -7r(8 + 3r)

expand the bracket

-56r - 21r²

5. 3m(-2 + 3m)

expand the bracket

-6m + 9m²

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Answer:

10.94.

Step-by-step explanation:

Using the formulas

A=πr2

d=2r

Solving ford

d=2/A

π=2·94

π≈10.94004

Answer:

10.94 mm

Step-by-step explanation:

Formula to find the area of a circle is :

Area = π r²

Given that, the area of the circle is 94 mm²

Now let us find the value of r ( radius ).

Area = π r²

94 = π  r²

94 ÷ π  = r²

29.92 = r²

√29.92 = r

5.47 = r

And now let us find the diameter of the circle.

d = 2r

d = 2 × 5.47

d = 10.94 mm

Hope this helps you :-)

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Answer:

a:6÷9

b:0.666% are the answers

Answer:

C. 17 units

Step-by-step explanation:

Surface area of rectangular prism is given as:

A = 2lw + 2lh + 2wh

A = 930 square units

l = 12 units

h = 9 units

w = ? (We're to find the width)

Plug in the value into the formula

930 = 2*12*w + 2*12*9 + 2*w*9

930 = 24w + 216 + 18w

Add like terms

930 - 216 = 42w

714 = 42w

Divide both sides by 42

714/42 = 42w/42

17 = w

w = 17 units

9514 1404 393

Answer:

  b) rotational symmetry: multiples of 120°

Step-by-step explanation:

The figure does not have a line of symmetry, or a point of symmetry. However, rotating it 1/3 turn (120°) will make it look like itself. Hence, it has rotational symmetry of degree 3. A rotation of any multiple of 120° will map the figure to itself.

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{22}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{PQ} \end{cases} \\\\\\ PQ=\sqrt{ 22^2 - 6^2}\implies PQ=\sqrt{ 484 - 36 } \implies PQ=\sqrt{ 448 }\implies PQ\approx 21.17\)

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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Answer:

$2971.9

Step-by-step explanation:

2000*(1+2%)^20 = 2971.895

Given:

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport.

The total charge is AED 135.

To find:

How far, in kilometers, is the trip to the airport?

Solution:

Let x km be the trip to the airport.

A taxi service charges AED 10 plus AED 250 per kilometer for a trip to the airport. So, total changes for x km trip is

\(T=10+250x\)

The total charge is AED 135.

\(10+250x=135\)

\(250x=135-10\)

\(250x=125\)

Divide both sides by 250.

\(x=\dfrac{125}{250}\)

\(x=\dfrac{1}{2}\)

\(x=0.5\)

Therefore, the trip to the airport is 0.5 km.

Inorder to find the average dimensions of one large box of cornflakes, we need more information such as the total volume or weight of a large carton of cornflakes. Without that information, we cannot calculate the average dimensions.

Average refers to the central value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values. The average is also known as the mean.

Volume refers to the amount of space an object occupies in three dimensions, typically measured in cubic units such as cubic meters or cubic feet. It is a physical quantity that describes the size of an object or space.

(a) Assuming the boxes are packed tightly with no empty space, the dimensions of one carton of cornflakes can be calculated by multiplying the dimensions of one box by the number of boxes in a carton. However, without knowing the dimensions of one box or the total volume of a carton, we cannot calculate this.

(b) To calculate the volume required for the truck to deliver 37 cartons of cornflakes, we need to know the volume of one carton and multiply it by the number of cartons. Without that information, we cannot calculate the required volume for the truck.

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Answer:

-16

Step-by-step explanation:

The question asks to find x from 2(4)x if x = -2

All that we have to do is substitute to get our answer :

f(-2) for (x) = 2(4)x

f(-2) = 2(4)(-2)

f(-2) = 2(-8)

f(-2) = -16

Therefore, x = -16

Answer:

-16

Step-by-step explanation:

Plug in -2 for x and then multiply 2 and 4 to get 8 (-2) which is then -16. Hope that helps!

Answer:

72

Step-by-step explanation:

90 = 125%

90 ÷ 5 = 25% = 18

18 x 4 = 72

Answer:

(9,-4)

Step-by-step explanation:

its right hope it's helpful

Answer:

0.02 is the smaller number

Step-by-step explanation:

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation <  782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer:

I am still trying to pick between third-person limited and third-person omniscient...Let me know which one is right :)

Step-by-step explanation:

Answer:

The answer is third-person omniscient I did it on edge

Step-by-step explanation:

so itz 100% correct trust me

The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.

It follows from the task content that the volume of the cylinder which is as represented is to be determined.

Since the volume of a cylinder is;

V = 2πr²h

where r = 10 and h = 25.

V = 2π × 10² × 25.

V = 5000π.

Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.

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If one of the roots is \(w=B+2i\), then the other root is its conjugate \(\bar w=B-2i\). So we can factorize the quadratic to

\(z^2 + 4z + 20 + iz (A+1) = (z-(B+2i)) (z-(B-2i))\)

Expand the right side and collect all the coefficients.

\(z^2 + (4+(A+1)i) z + 20 = z^2 - 2B z + B^2+4\)

From the \(z\) and constant terms, we have

\(\begin{cases}4 + (A+1)i = -2B \\ 20 = B^2 + 4 \end{cases}\)

From the second equation we get

\(B^2 = 16 \implies B = \pm4\)

Then

\(4+(A+1)i = \pm8\)

\((A+1)i = 4 \text{ or } (A+1)i = -12\)

Since \(\frac1i=-i\), we have

\(-\dfrac{A+1}i = 4 \text{ or } -\dfrac{A+1}i = -12\)

\(A+1 = -4i \text{ or } A+1 = 12i\)

\(\boxed{A = -1 - 4i \text{ or } A = -1 + 12i}\)

"The sum of two times x and 3 times y is 5."

From this sentence, we get the following equation

"The difference of x and y is 5."

From this sentence, we get the following equation

They are both line equations, and the solution of this system is the intercept between those lines.

Using a graphing software, we have the following graphs

The value of y is - 1.

The answer choice which must be true regarding the linear function is; The set must have a constant additive rate of change.

Since a linear function typically takes the slope-intercept form; f(x) = mx +c.

It therefore follows that the equation must have a constant slope m, which is the described additive constant rate of change.

It therefore follows that, the answer choice which is true regarding the linear function is therefore; The set must have a constant additive rate of change.

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The length of LG in the plane is

To find the distance between two points in a 2D plane, we can use the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Using this formula, we can find the distance between L(4,4) and G(9,9):

distance = √((9 - 4)^2 + (9 - 4)^2)

= √(5^2 + 5^2)

= √50

= 5√2

Therefore, the distance between L(4,4) and G(9,9) is 5√2, which is approximately 7.07 units.

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