5×100+4×10+6×1+2×(110)+8×(11000)

What is the number written in standard form?

Answer:

\(m = \frac{ - 9 - 7}{3 - ( - 3)} = \frac{ - 16}{6} = - \frac{8}{3} \)

\(7 = - \frac{8}{3} ( - 3) + b\)

\(7 = 8 + b\)

\(b = - 1\)

\(y = - \frac{8}{3} x - 1\)

The y-intercept is -1.

Answer:

12:20 because for ever 12 fruite pies 20 cream pies are made so it would look like the following!

12:20

Step-by-step explanation:

Hope it helps! =D

Answer:

\( {x}^{2} + x - 6 \\ \)

Step-by-step explanation:

\((x + 3)(x - 2) \\ x(x - 2) + 3(x - 2) \\ {x}^{2} - 2x + 3x - 6 \\ {x}^{2} + x - 6 \\ \)

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )

m = \(\frac{-4-a}{9-6}\) = \(\frac{-4-a}{3}\)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide through by - 3 )

y = \(\frac{2}{3}\) x - 2 ← in slope- intercept form

with slope m = \(\frac{2}{3}\)

Parallel lines have equal slopes , then

\(\frac{-4-a}{3}\) = \(\frac{2}{3}\) , so

- 4 - a = 2 ( add 4 to both sides )

-a = 6 ( multiply both sides by - 1 )

a = - 6 → A

Total classrooms are required:-

\(\\ \sf\longmapsto \dfrac{990}{30}\)

\(\\ \sf\longmapsto 33\)

When "twice the sum of a number and 3 equals three times the difference of the number and 3," the value of expression is 6.

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations. A number, a variable, or a combination of numbers, variables, and operation symbols constitutes an expression. An equation consists of two expressions joined by an equal sign.

Here,

let x be the number,

2x+3=3x-3

x=6

The value of expression is 6 when "twice the sum of a number and 3 is equal to three times the difference of the number and 3."

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The computation gave cot 60° to be √3 / 3, hence the correct answer is option c

cotangent of an angle = 1 / tangent of the angle

tan of angle = opposite / adjacent

solving for cot 60

cot 60 = 1 / tan 60

= 1 / ( √3/2 / 1/2 )

= 1/2 / √3/2

= 1/2 * 2/√3

= 1/√3

applying the rule of surd

=  1/√3 * √3/√3

=  √3 / 3

Therefore we can say that cot 60 using the coordinates of the point of intersection is calculated to be √3 / 3

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Answer:

Step-by-step explanation:

3 * 4 = 12 - 6

12 = 6

This statement is false

Answer:

False.

Explanation:

3 * 4 = 12 -6

12 = 6

...............

False, the sides are not equal.

Answer:

Equation: y = -4x + 32

Slope: -4

Step-by-step explanation:

Given : (-10,-8) and (-8, -16)

Slope Formula:   \(\frac{y_1 - y_2}{x_1-x_2}\)

Solve For Slope,  Input Given Points:

Solve for y-intercept:

Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.

Equation of LIne: y = -4x + 32

-Chetan K

Answer:

(1,-4)

Step-by-step explanation:

Remember this formula:

y2 - y1/x2-x1

Your two cordinates:

(-10,-8) and (-8,-16)

First do -16-(-8)

That should equal -8

Note: This is for the Y

Next do -8-(-10)

That should equal 2

Note: This is for the X

So now our slope is (2,-8)

If you want the simplest form:

Divide by (2,2)

So the answer shall be (1,-4).

Answer:

7200000

Step-by-step explanation:

Answer:

Line B slope = 9

Step-by-step explanation:

When dealing with perpendicular lines, we can let the slope we know represent m1, while the slope we don't know represents m2.

Thus, to find m2, we use the formula:

\(m_{2}=\frac{-1}{m_{1} }\)

If we plug in -1/9 for m1, we have:

\(m_{2}=-\frac{1}{(-1/9)} \\m_{2}=9\)

Answer:

3

Step-by-step explanation:

6*5=30

30/10=3

Answer:

3

Step-by-step explanation:

6 * 5 = 30

Then, 30 / 10 = 3

The most appropriate choice for congruency of triangles will be given by

\(\bar{IL} \cong \bar{JP}\)

Third option is correct.

What are congruent triangles?

Two triangles are said to be congruent if their corrosponding sides and corrosponding angles are equal.

There are five axioms of congruency. They are

SSS axiom, SAS axiom, ASA axiom, AAS axiom, RHS axiom.

Here,

ΔIKL ≅ ΔJOP [Given]

\(\bar{IL} \cong \bar{JP}\) [Corrosponding parts of congruent triangles are congruent]

Third option is correct.

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Complete Question

The diagram with the question has been attached below

Answer: 2048

Step-by-step explanation: 1. Write the exponential growth model.

The population of the town doubles every year, so the growth factor is 2. The initial population is 112, so the equation is: P(t) = 112(2)^t where P(t) is the population in year t and t is the number of years since 2014.

2. Estimate the population of the town in 2023. To estimate the population of the town in 2023, we can set t=9, since 2023 is 9 years after 2014. Plugging this into the equation, we get: P(9) = 112(2)^9 = 2048

Therefore, the estimated population of the town in 2023 is 2048.

The result of  the expression 2 + 5^3 is 127.

To solve the expression 2 + 5^3, you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

In this case, the exponentiation should be performed first.

Step 1: Calculate 5^3

5^3 means raising 5 to the power of 3, which is equivalent to multiplying 5 by itself three times: 5 * 5 * 5 = 125.

Step 2: Add 2 to the result from Step 1.

2 + 125 = 127.

Therefore, the result of 2 + 5^3 is 127.

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Answer: B. 4

Step-by-step explanation:

Water bankruptcy is associated with the problems among the beneficiaries whose demands are more than the total available water.

It should be noted that water simply means a colorless and odorless liquid that is the basis of living organisms. The limited water supply has led to water resources bankruptcy which is the failure of water to meet the imposed demand by users.

The people who will benefit in water bankruptcy are the people whose needs weren't met by the available water.

An alternative way in which a water shortage problem can be resolved is the recycling of waste water and rainwater harvesting.

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Answer:

no need to divide by 2.

Step-by-step explanation:

let's see u will understand.

solution,

x+67=180 (being straight line)

or, x=180-67

x=113 answer.

hope it'll help you.

Answer:

113°

Step-by-step explanation:

x and the angle with 67° are complementary angles and their sum is equal to 180°

x + 67 = 180 subtract 67 from both sides

x = 113°

Answer:

-1133

Step-by-step explanation:

Formula for nth term

Finding d

Solving for a₆₆

Answer:

-1133

Step-by-step explanation:

-17(66-1)+(-28)

-17(65)+(-28)

type in calculator or desmos

-1133

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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The solutions to the nearest tenth are x = -0.1 and x = 1.3

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

5x² - 2x - 1 = 4x

Evaluate the like terms

So, we have

5x² - 6x - 1 = 0

Next, we solve using a graph

The graph of 5x² - 6x - 1 = 0 is added as an attachment

From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3

This means that the solutions are x = -0.1 and x = 1.3

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Answer:

The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.

Step-by-step explanation:

To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.

5x^2-2x-1=4x

5x^2-6x-1=0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 5, b = -6, and c = -1.

Plugging these values into the formula gives:

x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)

x = (6 ± sqrt(56)) / 10

Answer:

640 bees

Step-by-step explanation:

8 multiplied by 2 = 16

16 multiplied by 40 = 640

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

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Step-by-step explanation:

The graph of Fx), shown below in pink, has the same shape as the graph of G(x)-x, but it is shifted to the right two units. Complete its equation below Enter exponents using the caret (a), for example, enter x as x 4. Do not include Fx)-in your answer. .5 5 F(x) = Answer: 0

The equation of the graph is,

⇒ G (x) = (x - 3)⁴

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function G (x) is shown in image.

Here, The graph is 3 units left to function F (x) = x⁴.

Hence, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

Thus, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

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Answer:

4^2=4x4=16

16 divided by 2=8

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

The expression \(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\) contains mixed numbers, and the equivalent expression of \(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\) is \(\dfrac{124}{5}\)

The expression is given as:

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\)

Rewrite the fractions as improper numbers

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \left(\dfrac{32}{10} - \dfrac{6}{5}\right)8\)

Express 6/5 as 12/10

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \left(\dfrac{32}{10} - \dfrac{12}{10}\right)8\)

Solve the expression in the bracket

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \left(2 \right)8\)

Open the bracket

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + 16\)

Express 16 as 80/5

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{44}{5} + \dfrac{80}{5}\)

Add the fractions

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =\dfrac{124}{5}\)

Express as mixed numbers

\(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8 =24\dfrac{4}{5}\)

Hence, the equivalent expression of \(8\dfrac{4}{5} + \left(3\dfrac{2}{10} - 1\dfrac{1}{5}\right)8\) is \(\dfrac{124}{5}\)

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Answer:

i = 2

Step-by-step explanation:

-8(i - 6) = 32

-8i + 48 = 32

-8i = -16

i = 2