Select the correct answer.
What is the domain of the function shown on the graph?
y
-8
OF
-4 -2
Ο Α. * < 2
O B.
C.
8
OD. x ≤ 1
6+
4+
2+
-2
N
4
-6-
8-
2
-∞0 < x < 00
-10 < x < 2
-00
6 8
+x

Answer:

4 hours. 1 3/4 is about 2, and 2 1/4 rounds to 2. 1/4 would round to 0, but it would not affect the estimate's accuracy much because we rounded up by 1/4 on 1 3/4 already. Philipe spent about 4 hours on activities.  

Step-by-step explanation:

Answer:

by adding profit as your wish or loss

Answer: the quotient of the given expression is, h5

Step-by-step explanation:

Use the exponent rule:

Given the expression:

⇒

Apply the exponent rules we have;

Simplify:

therefore, the quotient of the given expression is,

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

131072

Step-by-step explanation:

Answer: The answer is 131072.

Step-by-step explanation:

Using a calculator, we find that \(2^{17}=\boxed{131072}.\)

Answer:

y= 2/7

b= 43

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Classifying the triangles by sides and angles :

Triangle ABC

⇒ By Sides : Scalene (All sides are unequal)

⇒ By Angles : Right (There is a right angle = 90°)

============================================================

Triangle GHI

⇒ By Sides : Isosceles (2 sides are equal)

⇒ By Angles : Obtuse (One angle is greater than 90°)

============================================================

Triangle DEF

⇒ By Sides : Equilateral (All sides are equal)

⇒ By Angles : Acute (All angles are less than 90°)

Answer:

answer D

Step-by-step explanation:

V=L*W*H=1 ==> L=1,W=1,H=1

A:

L-> L+2=1+2=3

W -> W+2 = 1+2=3

H -> H+2=1+2=3

V=3*3*3=27 not the doubled of the volume's cube

A is false

B:

H -> H+2=1+2=3

V=1*1*3=3 not the doubled of the volume's cube

B is false

C:

H -> 2*H=2*1=2

L -> 2*L=2*1=2

W -> 2*W = 2*1=2

V=2*2*2=8 not the doubled of the volume's cube

C is false

D:

H-> H*2=1*2=2

L=1

W=1

V=1*1*2=2 is the doubled of the volume's cube

D is true

Given , KM = 22

Then JL =

This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,

KM = JL ( the diagonals in an isosceles trapezoid are congruent )

22 = JL

JL = 22

Therefore , JL = 22 .

Given , DF = 8.7

Then , EG =

Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,

DF = EG ( the diagonals in an isosceles trapezoid are congruent )

8.7 = EG

EG = 8.7

Therefore , EG = 8.7 .

The surface area of the pyramid is 116.4 sq. ft.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.

The surface area of the pyramid is calculated by adding the area of all the faces of the pyramid.

The area of the triangle is given as:

A = 1/2 (b)(h)

For the face of the pyramid:

b = 12 and h = 9

Substituting the values we have:

A = 1/2 (12)(9)

A = 54 sq. ft

The pyramid consists of three faces thus,

A = 3(54) = 162 sq ft

For the base of the pyramid:

b = 12 and h = 10.4 ft

A = 1/2(12)(10.4)

A = (6)(10.4)

A = 62.4 sq ft

The surface area of the pyramid is:

SA = 54 + 62.4

SA = 116.4 sq. ft

Hence, the surface area of the pyramid is 116.4 sq. ft.

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Answer:

Step-by-step explanation:

8-7=1

7-6=1

The real part of the complex numbers is following an arithmetic progression with first term 8 and common difference 1.

………………………………………

-6+2=-4

-4+2=-2

THe Imaginary part of the complex numbers is following an arithmetic progression with first term -6 and common difference 2.

………………………………………

Then the term she of the sequence can be written:

(8 - n) + i(-6 + 2n)

………………………………………

We get a purely imaginary term when its real part is nul :

⇒ 8 - n = 0

⇒ 8 = n

………………………………………

If we take n = 8

⇒ -6 + 2n = -6 + 2×8 = -6 + 16 = 10

Therefore,

The term of the arithmetic progression 8 - 6i, 7 – 4i, 6 — 2i, ... which is purely imaginary is :

10i

Answer:

it is not likey bc inless the class have over 2 mil ppl in it itis doouptfull

Step-by-step explanation:

Answer:11 degrees at sunrisde the temp was -1 degree

Step-by-step explanation:

The solution of the inequality expression −18≤−3p is p ≤ 6.

Inequality, A declaration of an order connection between two integers or algebraic expressions (greater than, greater than or equal to, less than, or less than or equal to).

Hence, to solve for −18≤−3p, let's make P the subject of the formula.

-3p ≥ -18

Using -3, divide both sides

⇒ -3p/-3 ≥ -18/ -3

Hence,

⇒ P ≤ 6

See the graph attached.

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$6355 will be there in the fund

Investment=$5000

Interest rate =6%=0.06

Time = 4years

We need to find how much money will be there in fund

What is compound interest?

A=Pe^rt

A=5000*e^0.06*4

=5000*e^0.24

=5000*1.271

=$6355

Therefore $6355 will be there in the fund

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Answer:

A - C(-3, -2), D(1, -2)

Step-by-step explanation:

The measure of angle ∠GSN is 27°.

So, a measure of ∠GSN:

Then, ∠GSN will be:

Therefore, the measure of angle ∠GSN is 27°.

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The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

60 degrees

Step-by-step explanation:

cos(x)=1/2

cos(x)=0.5

(x)=\(cos^-1\) (0.5)

(x)=60

The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.

Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.

One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.

Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.

This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.

Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.

In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.

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Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

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Answer: 7

Step-by-step explanation:

Length : 6 - x2

Height : x - 2

Width : x = 7

Formula for a rectangle : H x L x W

280 = (7)2 - 6 x (7) - 2 x 7

280 = 14 - 6 x 5 x 7

280 = 8 x 5 x 7

the width of the delivery box is 7 inches

The volume of the solid box is given as:

Volume = length × width × height

Let x represent the width of the box.

The length of the delivery box is 6 inches less than twice the width, hence:

Length = 2x - 6

The height is 2 inches less than the width, hence:

Height = x - 2

Therefore:

volume = length  × width × breadth

280 = (2x - 6)(x - 2)(x)

280 = (2x - 6)(x² - 2x)

2x³ - 4x² - 6x² + 12x = 280

2x³ - 10x² + 12x - 280 = 0

Therefore x = 7

Hence the width of the delivery box is 7 inches.

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The required container can hold (10/3) times the amount of water poured into it.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's assume the container can hold "x" gallons of water.

According to the problem, the container is 1/5 full initially, which means it contains (1/5)x gallons of water.

After pouring in some water, it is 7/10 full, which means it contains (7/10)x gallons of water.

The difference between the initial and final amounts of water is the amount of water poured into the container. Therefore, we can set up an equation:

(7/10)x - (1/5)x = the amount of water poured into the container

(7/10 - 1/5)x = (3/10)x = the amount of water poured into the container

We know that this amount of water is in gallons, so we have:

(3/10)x = the amount of water poured into the container in gallons

We can solve for "x" by dividing both sides by 3/10:

x = (the amount of water poured into the container in gallons) / (3/10)

x = (10/3) x (the amount of water poured into the container in gallons)

Therefore, the container can hold (10/3) times the amount of water poured into it.

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Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

Answer: strong negative

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)