Need help with #1 “how is the equation y= 2x similar to the equation y= 2x + 3?how is it different?”

Answer:

Step-by-step explanation:

To find the length of an arc,

Angle/360 * circumference

Length = 4

Angle = ?

circumference = 20

Angle/360 * 20 = 4

Rearrange to find the Angle.

Angle/360 = 4 / 20 = 0.2

Angle = 360 * 0.2

Answer:

It’s correct

Step-by-step explanation:

Thanks

Answer:

x = 140

Step-by-step explanation:

The figure is a quadrilateral. That means it has 4 sides and more importantly for this question 4 angles. All quadrilaterals have 4 angles that add up to 360o.

You know 3 of the angles. The fourth one is x.

90 + 90 + 40 + x = 360                    Combine like terms on the left

220 + x  = 360                                  Subtract 220 from both sides.

220 - 220 + x = 360 - 220               Combine all like terms

x = 140

Answer:

[tex]y = 2 sin (\frac{2x- 1}{16 \pi} ) - 1[/tex]

Step-by-step explanation:

We know that the standard form of equation for the sine function is given by:

[tex]y = Asin(Bx-C)[/tex] where [tex]A[/tex] is amplitude, period is [tex]\frac{2\pi }{B}[/tex] and the phase shift is equal to [tex]Bx-C[/tex] set to zero. [tex]C[/tex] is then obtained by this equation.

Here in this problem: A is equal to 2, period=2π/B=2π/2=π, where B is equal to 2 and the phase shift is equal to 2x - 1/16 pi = 0.

[tex] y = 2 sin (\frac { 2 x - 1 } { 16 \pi} ) - 1[/tex]

To construct the sine function y = 2 × sin(2(x + π/8)) + 3, you need to consider the given amplitude, period, phase shift, and vertical shift and substitute them into the general sine equation form.

Constructing the Sine Function

To write a sine function with a given amplitude, period, phase shift, and vertical shift, we use the general form of the sine equation:

y = A × sin(B(x - C)) + D

Given the data:

Amplitude (A): 2

Period: π

Phase Shift (C): -1/8 π

Vertical Shift (D): 3

First, determine B using the formula for the period: Period = 2π / B. Since the period is π:

π = 2π / B

Solving for B, we get:

B = 2

Next, substitute A, B, C, and D into the general form:

y = 2 × sin(2(x + 1/8π)) + 3

The phase shift is negative, indicating a shift to the left. Therefore, the equation becomes:

y = 2 × sin(2(x + π/8)) + 3

Now, you have the sine function with the specified characteristics.

Answer:

The correct options are c, d and e.

Step-by-step explanation:

From the given graph it is clear that the length of BC is 5 units.

Christopher made a scaled copy of the following trapezoid.

1. If a the scale factor is less than 1 then the image is smaller than its original figure.

2. If a the scale factor is greater than 1 then the image is larger than its original figure.

It is given that he used a scale factor greater than 1. So, the scaled copy of the following trapezoid is larger than the given trapezoid.

The length of corresponds with BC is greater than 5.

[tex]\frac{1}{5}<5[/tex]

[tex]4<5[/tex]

[tex]15.5>5[/tex]

[tex]24>5[/tex]

[tex]18>5[/tex]

Therefore, the correct options are c, d and e.

Answer: His gross pay is $461.

Step-by-step explanation: George’s gross pay consists of two parts, his salary and his commission. His salary is $350, regardless of how much he sells. His commission is 6% of the $1,850 in sales that he made.

First, calculate the amount of commission = .06 x $1,850 = $111

$350 + $111 = $461

Answer:

7 feet

Step-by-step explanation:

Convert 1 3/4 into an improper fraction:

1 3/4 = 7/4

if 1/4 is one foot/ then 7/4 is 7 feet

sorry if i didn't explain this well, hope it helps

A wall that measures [tex]1 \frac{3}{4}[/tex] inches on a blueprint with a scale of 1 / 4 inch equals 1 foot is 7 feet long in actual size after converting the measurements.

The question is about converting a measurement on a blueprint to the actual size in feet. To find out how many feet long a wall that measures [tex]1 \frac{3}{4}[/tex] inches on the blueprint is, we apply the given scale factor. The scale on the blueprint is

1 / 4 inch equals 1 foot. Therefore, to find the actual length in feet, we divide the measured length on the blueprint by the scale factor.

[tex]1 \frac{3}{4}[/tex] inches can be converted to a decimal which is 1.75 inches. Now, we divide 1.75 inches by the scale of 1 / 4 inch per foot:

1.75 inches / (1/4 inches/foot) = 1.75 inches X (4 feet/1 inch) = 7 feet

So, a wall that measures 1.75 inches on the blueprint is 7 feet long in actual size.

Answer:

500

Step-by-step explanation:

Given: P = 150 - T where P is passenger cars and T is trucks

10P = 7T ⇔ P = [tex]\frac{7T}{10}[/tex]

Plug in equation 2 into equation 1:

[tex]\frac{7T}{10}[/tex] = 150 - T

Solving for T, we get 500

Answer:

There would be 500 passenger cars and 350 trucks.

Step-by-step explanation:

In order to find this, we need to create a system of equations. Start by making the number of passenger cars as x and the number of trucks at y. Now the first equation can be the difference of the two.

x - y = 150

The second equation can make use of the proportion. If we multiply by the opposites we'll get the difference of 0.

7x - 10y = 0

Now we multiply the first equation by -10 and add together to solve for x.

-10x + 10y = -1500

7x - 10y = 0

-------------------

-3x = -1500

x = 500

Now we can find the amount of trucks by using either equation.

x - y = 150

500 - y = 150

-y = -350

y = 350

Answer:

0.000111

Step-by-step explanation:

0.0015 is a decimal between 0.001 and 0.002.

A number system is defined as a system of writing to express numbers.

To find a decimal between 0.001 and 0.002, you can take the average of the two numbers.

The average of 0.001 and 0.002 is:

(0.001 + 0.002) / 2

= 0.003 / 2

= 0.0015

Therefore, 0.0015 is a decimal between 0.001 and 0.002.

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Answer:

D. $2 million

Step-by-step explanation:

make it a porportion - easier to complete the problem..

30,000 / ? = 1.5% / 100%

30,000 * 100 = 3,000,000 / 1.5% = 2,000,000

hope this helps!!

4/8 simplifies to 1/2. Multiply 1/2 by 100 to get 50%. Thus, 4/8 expressed as a percent is 50%.

To express 4/8 as a percent without dividing, first, recognize that 4/8 simplifies to 1/2 by dividing both the numerator and denominator by their greatest common divisor, which is 4.

Then, to convert 1/2 to a percent:

1. Multiply 1/2 by 100 to express it as a percentage.

  (1/2) × 100 = 50.

So, 4/8 as a percent without dividing is 50%.

Steps:

1. Simplify 4/8 to 1/2.

2. Multiply 1/2 by 100 to convert to a percent.

  (1/2) × 100 = 50.

Therefore, 4/8 equals 50% without dividing.

Answer:

A)−3(y + z = 4)

Step-by-step explanation:

Equation P: y + z = 4  

Equation Q: 3y + 7z = 15  

To eliminate the y term,  The equations have to have the coefficients on y equal and opposite.

Equation Q has 3y, so Equation P needs -3y

Multiply equation P by -3

−3(y + z = 4)

Answer:

A

Step-by-step explanation:

Answer:

A) The worker is paid S= $ 1110 for producing 18 units.

B) The worker is paid $3,330 for producing x= 50 units.

Step-by-step explanation:

a) given x = 18 units

Time required T(x) = 4x+2

                               = 4(18)+2

                               = 72 +2

                               = 74 hrs

Amount paid S(T) = 15 T

                             = 15 ( 74) = $ 1110

b) Since S is given, S= $3,030

     S(T)= 15 (T)

     3030 /15= T

     202 hrs= T

Now, we can find x:

  T(x) = 4(x) +2

  202 = 4x + 2

  202-2 = 4x

  200 / 4 =x

  50 = x

so, worker produces 50 units.

Answer:

0.04

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

W and Z are adjacent angles. So they are supplementary and add to 180 degrees.  

W + Z = 180  

9x - 3 + 3x + 15 = 180  

12x + 12 = 180 12x = 180 - 12  

12x = 168  

x = 168/12  

2 dive by 1/4= 8

6 dive by 1/3 = 18

2 dive by 1/3 = 6

5 dive by 1/2= 10

1/6 dive by 2= 1/12

1/3 dive by 6= 1/18

3 dive by 1/4= 12

1/2 dive by 5= 1/10

Answer:

Step-by-step explanation:

0.01041666666

Answer:

the sea level

Step-by-step explanation:

i can draw a picture

0-----------------------------------------------------------------------------------------------sea lvl

-1-----------------------------------------------------------------------------------------------1ft below

-2----------------------------------------------------------------------------------------2ft below

-3----------------------------------------------------------------------------3ft below

-4-------------------------------------------------------------------4ft below

-5-------------------------------------------------------------------------------5ft below

-6---------------------------------------------o-m----------------------------------6 ft below

                                                         ^

                                                    thats a turtle

the probability that the roll of a six-sides die will be either even or odd is 1/2 or 50%

The probability of a six-sided die will be either even or odd is 1/2.

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A die is rolled once.

The sample space = {1, 2, 3, 4, 5, 6}

An even number sample space = {2, 4, 6}

Odd number sample space = {1, 3, 5}

The probability of a six-sided die will be either even or odd,

= 3/6

= 1/2

Therefore, 1/2 is the probability.

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1: -b

2:√b^2

3: -4ac

4: ÷2a

Answer:

[tex]3)~v=8491mm^3[/tex]

Step-by-step explanation:

3) volume of cylinder is...

v= πr²h

plug r= 13 and h=16

so, your answer is B

------------------------------

hope it helps...

have a great day!!

The volume of the rectangular prism is 138.48 cubic centimeters. It is calculated by multiplying the base area of 36 cm² with the height of 3 and 5/6 cm.

To find the volume of the rectangular prism, you need to multiply the area of the base by the height. The formula for the volume of a rectangular prism is:

Volume = Base Area × Height

Given:

Base Area = 36 cm²

Height = 3 and 5/6 cm

First, let's convert the height to an improper fraction:

3 and 5/6 = (6 × 3 + 5) / 6 = 23/6 cm

Now, plug in the values into the formula:

Volume = 36 cm² × 23/6 cm

To multiply, you can first simplify the fraction:

Volume = 36 cm² × 3.83 cm

Finally, calculate the volume:

Volume = 138.48 cm³

The volume of the rectangular prism is 138.48 cubic centimeters.

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Answer:

Step-by-step explanation:

y-intercept is for r = 0.

We have the equation y = -3 - 7r.

Substitute r = 0:

y = -3 - 7(0) = -3 - 0 = -3

Other way.

The slope-intercept form of an equation of a line:

y = mx + b (y = mr + b).

m - slope

b - y-intercept

We have the equation y = -3 - 7r = -7r - 3. Therefore m = -7 and b = -3.

Answer:

The equation

f(x) = x^2 + 12*x + 26

can be rewritten as

y = x^2 + 12*x + 26

More information about this equation can be seen in the picture attached below.

The coordinates for the origin of the coordinate plane is (0,0).

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.

The coordinate plane consists of two axes which are the two mutually perpendicular lines, the X-axis and the Y-axis respectively.

The point of intersection of these two axes is known as the origin of the coordinate plane.

For the frame of reference, we take the origin of the coordinate plane as (0,0).

Therefore, the coordinates for the origin of the coordinate plane is (0,0).

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Answer:

[tex]\frac{45-b}{25}[/tex]

Step-by-step explanation:

given

45 = 25m + b ( isolate the term in m by subtracting b from both sides )

45 - b = 25m ← divide both sides by 25

[tex]\frac{45-b}{25}[/tex] = m

Answer:

the equation thats equal to 26-17=x

Step-by-step explanation:

we can use fact families and do 26-17 is the missing number.if we were to solve it, the answer would be 9

x + y = 26 , 17 + y =26 , 26 - 17=y,26-17=9

y=9, x=17

Answer:

The solutions are

t=2.07 sec  and t=5.43 sec

Step-by-step explanation:

The question in English

The height h above ground level (in feet) of a toy rocket, t seconds after it is launched, is given by h = -16t2 + 120t. When will the rocket be 180 feet above the ground?

we have

[tex]h=-16t^{2}+120t[/tex] -----> equation A

[tex]h=180[/tex] -----> equation B

equate the equation A and equation B

[tex]180=-16t^{2}+120t[/tex] ------> equation C

we know that

The solution of the equation C is equal to the x-coordinate of the intersection point of the graph equation A and the graph of the equation B

so

using a graphing tool

The solutions are

t=2.07 sec  and t=5.43 sec

see the attached figure to better understand the problem

Answer: 80

Step-by-step explanation:

Lol. So we are trying to find x, yeah?

Whatever 2 angles that are inside the triangle add up to x.

And you know a triangle adds up to 180°

So do 180 - 100 = 80°

So, x = 80°

:)

Answer:

21

Step-by-step explanation:

Answer:

The volume of the rectangular one-story house is [tex]18,000\ ft^{3}[/tex]

Step-by-step explanation:

we know that

To find the volume, multiply the area of the base by the height

so

[tex]V=1,800*(10)=18,000\ ft^{3}[/tex]

Answer:

$375

Step-by-step explanation:

subtract 9,000 from the 12,000, then divide the 3,000 by 8 and you get 375.

She needs to save $375 each month. This is because the total she needed was $12,000 but her mom paid $9,000 which leaves $3,000 and she has eight months and 3,000 divided by 8 = $375

Hope this helps.