solve this: k/3 = -4​

143 = x × 0.024 × (11/12)

143 = x × 0.022

143/0.022 = x

6500 = x

Donna borrowed $6500

Answer:

x intercept: (4.5,0)

y intercept: (0,-1)

Step-by-step explanation:

x intercept is when it crosses the x axis and it does so at (4.5,0)

Y intercept is when it crosses the y axis and it does so at (0,-1)

Hopes this helps please mark brainliest

The number of days that he was in Europe will be 42 days.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.

If he was in Spain for 14 days, the number of days that he was in Europe will be:

1/3 × x = 14

x = (14 × 3)

x = 42 days

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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?

The optimal solution is to plant 50 acres of corn and 50 acres of soybeans.

Our objective is to maximize profit, which is given by:

Profit = 150x + 200y

We also have the following constraints:

The farmer has 100 acres of land, so x + y ≤ 100.

Each acre of corn requires 120 pounds of fertilizer and each acre of soybeans requires 150 pounds of fertilizer. The farmer has 12,000 pounds of fertilizer available, so 120x + 150y ≤ 12,000.

We also have the non-negativity constraint x ≥ 0 and y ≥ 0.

We can write this as a linear programming problem in standard form as follows:

Maximize: 150x + 200y

Subject to:

x + y ≤ 100

120x + 150y ≤ 12,000

x ≥ 0, y ≥ 0

We can graph the feasible region determined by the constraints and then use the corner-point method to find the optimal solution.

The feasible region is shown below:

  |

 y|

  |

20 |  O

  |        O

  |              O

  |                     O

  |                            O

  |                                O

  |_____________________________________

       0   20   40   60   80   100

                 x

The feasible region is the shaded triangle bounded by the lines x + y = 100, 120x + 150y = 12,000, and the x- and y-axes. The corner points of the feasible region are (0, 0), (0, 80), (50, 50), and (100, 0).

We can now evaluate the objective function at each corner point to find the optimal solution:

At (0, 0), profit = 0.

At (0, 80), profit = 16,000.

At (50, 50), profit = 17,500.

At (100, 0), profit = 15,000.

Therefore, the optimal solution is to plant 50 acres of corn and 50 acres of soybeans to maximize profit at $17,500.

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The function rule for g(x) is h(x) = (x - 0)² - 7.

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about the vertex (0, -7) and other points (-3, 2), we can determine the value of a as follows:

f(x) = a(x - h)² + k

2 = a(-3 - 0)² - 7

2 + 7 = 9a

9 = 9a

a = 1

Therefore, the required quadratic function in vertex form is given by:

h(x) = a(x - h)² + k

h(x) = (x - 0)² - 7

h(x) = x² - 7

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Answer:

1. 5/12, 50%, 0.55

2. 0.1%, 0.01, 1/10

3. 0.3, 33%, 1/3

4. 0.102, 90%, 11/12

Step-by-step explanation:

Hope this helps! If so please mark brainliest!

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Answer:

AB = 45.688 metres

Step-by-step explanation:

* i used a scientific calculator for my working. i am not sure if calculators are permitted for your exam on Wednesday *

⭐AB = AD + DB

⭐AB = 16.5 + DB

Thus, we need to find DB in order to solve for AB.

First, I utilized the triangle sum theorem to find ∠BDC:

\(< BDC + < DCB + < B = 180\\ < BDC + 59 + 90 = 180\\ < BDC + 149 = 180\\ < BDC = 31\)

Then, I utilized the linear pair sum to find ∠ADC:

\(< ADC + < BDC = 180\\ < ADC + 31 = 180\\ < ADC = 149\)

Next, I utilized the triangle sum theorem to find ∠DAC:

\(< DAC + < ADC + < ACD = 180\)

\(< DAC + 149 + 10 = 180\)

\(< DAC + 159 = 180\)

\(< DAC = 21\)

After, I utilized the law of sines to find DC:

\(\frac{sin10}{16.5} = \frac{sin21}{DC}\)

\(DCsin10 = 16.5sin21\)

\(DC = \frac{16.5sin21}{sin10}\)

\(DC = 34.052\)

Then, I utilized the sine function to find DB for ΔBDC:

\(sin(59) = \frac{DB}{34.052}\)

\(34.052sin(59) = DB\)

\(29.188 = DB\)

Finally, I substituted DB into our original equation for AB:

\(AB = AD + DB\)

\(AB = 16.5 + 29.188\)

\(AB = 45.688 metres\)

Good luck on your exam on Wednesday! :-)

The height of the pole will be equal to 45 meters.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that the angle BCD is 59 and the angle BCA is 69. The height will be calculated as,

tan(59) = BD / BC

BC = BD / tan(59)

BC = 0.6BD

tan(69) = AB / BC

tan(69) = ( 16.5 + BD ) / BC

BC = 0.38( 16.5 + BD )

Equate the values of BC,

0.6BD = 0.38 ( 16.5 + BD )

0.6BD = 6.27 + 0.38BD

0.22BD =6.27

BD = 28.5 meters

The height of the pole is,

AB = AD + DB

AB = 16.5 + 28.5

AB = 45 meters

The height is 45 meters.

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Answer:

g = 8

Step-by-step explanation:

Hello!

We can solve for g by isolating the variable.

The value of g is 8.

Answer:

\( \sf \: g = 8\)

Step-by-step explanation:

Now we have to,

→ find the required value of g.

The equation is,

→ 2.8(g - 6) + 1.06 = 6.66

Then the value of g will be,

→ 2.8(g - 6) + 1.06 = 6.66

→ 2.8g - 16.8 = 6.66 - 1.06

→ 2.8g - 16.8 = 5.6

→ 2.8g = 5.6 + 16.8

→ g = (22.4)/(2.8)

→ [ g = 8 ]

Hence, the value of g is 8.

Answer:

The price of the projector is $1,180.

Step-by-step explanation:

295 × 4 = 1,180

Answer: Undefined

Step-by-step explanation:

(slope = m)

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{4-4}=\frac{3}{0}\)

(3 divided by 0 is undefined, so the slope is undefined)

The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:

B) 6/5 or 1 1/5

Step-by-step explanation:

5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

Reflexive Property of Equality

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

A number repeated as a term three times can be expressed as a sequence or as a repeated multiplication.

A number repeated as a term three times means that the same number is used three times in a row. It can be expressed as a sequence or as a repeated multiplication.

For example, if the number is 5, the expression "5, 5, 5" represents the number 5 repeated three times in a sequence. It indicates that the number 5 is repeated consecutively as three separate terms.

Alternatively, the repeated multiplication of the number can also represent the concept. In this case, "5 x 5 x 5" would be equal to 125, which means that the number 5 is multiplied by itself three times.

In both cases, the idea is that the number is used three times in succession, either as a sequence or through multiplication, resulting in a repeated representation of the number.

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4

Hope this helps! :)

______________

Answer:

B

Step-by-step explanation:

Arithmetic sequences have a pattern that are either - or +.

B is the only answer that fits this.

Applying the exterior angle theorem, the measure of angle z is: b. 102°.

The exterior angle theorem is a theorem of a triangle that states that the measure of the external angle that is formed by an extended side of the triangle, is equal to the sum of the measures of the remote interior angles of the triangle.

Given the following:

Therefore:

Measure of angle z = measure of angle A + measure of angle B [according to the exterior angle theorem]

Substitute

Measure of ∠z = 58 + 44

Measure of ∠z = 102°

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Answer:

B. 102°

Step-by-step explanation:

Hope this helps! :))

cupcakes are shared

equally among four of her children, 4 Cupcakes  will each child get

what do you mean by share?

An equity ownership stake in a corporation is represented by a share. Dividends from any earnings the company makes are owed to the shareholders. They also bear the brunt of any losses the business may sustain.

Ordinary shares.

Non-voting shares.

Preference shares.

Redeemable shares.

There are a number of different types of shares including equity shares, preference shares, right shares, bonus shares, sweat equity shares (where companies issue shares at a discount or for consideration) and employees stock options plans.

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The percentage increase from Day 2 to Day 3 of the birds is =20%

Day One = 16 birds

Day two = 16 - 25% (16)

But 25% (16) = 25/100 ×16

= 1/4× 16

= 4

Therefore day two = 16 - 4 = 12

Day three = 12 + 3 = 15

Therefore percentage increase,

= 3/15 × 100

= 300/15

= 20%

Therefore there was 20% increase from Day 2 to Day 3.

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Answer:

25% is the correct answer i took the test in k12 and it was right

Step-by-step explanation:

A piecewise function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. The piecewise function is attached below.

A function is an expression used to show the relationship between two or more numbers and variables. A piecewise function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain.

Given the following piecewise function, the graph is attached below.

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Answer:

x², x<0

1 g(x)= x, 0<x<4 2

X, X>4

Step-by-step explanation:

c

The equation that represents Carlos's savings will be x + 24 = 48.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

Let 'x' be the amount of savings of Carlos. Then the equation is given as,

x + 24 = 48

The condition that addresses Carlos' reserve funds will be x + 24 = 48.

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Answer:

1/6 a gallon of paint is in each container

Step-by-step explanation:

2/3 * 1/4 = 2/12

2/12 = 1/6

Answer:

Step-by-step explanation:

Find the length of AB:

Now as we know:

sine = opposite / hypotenuse

cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Correct choice is A

Answer: 9x^2

Step-by-step explanation:

Step-by-step explanation:

Option (e) is the right answer.