The distance from the Earth to the Sun is 92,640 miles Write the distance between the Earth and the Sun, rounded to two significant figures

Answer:

-x+8=6

Step-by-step explanation:

x+5-1(2x)+(-1)(-3)=6

x+5-1-2x+3=6

ans (-x+8=6)

x+8

The value of y will be 75°. The correct option is C.

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that the two parallel lines are DE and XY. The angle y will be calculated as,

y = 180 - 105

y = 75°

Hence, the measure of the angle y is 75°

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answer:

(-1,8]

explanation I just did something close to this

Answer:

1. c) Add/ Subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

Answer two questions about Equations A and B:

A. 3x – 1= 7

B. Зx = 8

1) To get Equation B from Equation A we need to take the following steps

A. 3x – 1 = 7

We add one to both sides

3x - 1 + 1 = 7 + 1

3x - 0 = 8

3x = 8

Option c is the correct option.

2) We are given Equations:

A. 3x – 1= 7

B. Зx = 8

3x - 1 = 7 = 3x = 8

3x = 7 + 1 = 3x = 8

3x = 8 = 3x = 8

Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.

Answer:

Answer:

3/4x + 12 =48

3/4x=36

x=48

Answer:

24 feet

Step-by-step explanation:

Use the perimeter formula, P = 2l + 2w, where l is the length and w is the width.

Plug in the values, and solve:

P = 2l + 2w

P = 2(7) + 2(5)

P = 14 + 10

P = 24

So, the perimeter of the canvas is 24 feet

Answer: She didn't make an error.

Step-by-step explanation:

She just didn't I got it right.

Answer:

answer is D

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If Miguel's house is (0,0), then the tennis court is (-3,-2), and the bike path is (5,-2). There fore, we can just count the squares between the tennis court and the bike path, which is 8.

Hope that this helps!

From the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

Given that,
The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path is to be detemined.

Coordinate, is represented as the values on the x-axis and the y-axis of the graph.

Here on the graph,
Assume that Miguel's house is (0,0),
then accoding to the question the tennis court is (-3,-2), and the bike path is (5,-2).
Now, difference in the position dx = 5 - (-3)
                                                    = 8

Thus, from the coordinate calculation, here tennis courts are 8 blocks far from the bike path.

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Answer:

29/180 is the answer for 58/360 in simplest form

Answer:

[tex]16^{2} - 9[/tex]

Step-by-step explanation:

[tex](4x + 3)(4x - 3)[/tex]

Step 1: Multiply [tex]4x[/tex] to [tex](4x - 3)[/tex], you get, [tex]16x^2 -12x[/tex]

Step 2: Multiply [tex]3[/tex] to [tex](4x - 3)[/tex], you get, [tex]12x - 9[/tex]

[tex]16x^2 - 12x +12x - 9[/tex]

Step 3: add or subtract the numbers with the same variables together

[tex]16x^2 - 9[/tex] is your final answer

The expression simplified after the multiplication is 16x² - 9.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression. The multiplication of (a+b) and (a-b) is given by:

(a+b)(a-b) = a² - b².

The given expression is (4x + 3)(4x-3).

Simplify the expression:
(4x + 3)(4x-3)

= 16x² - 9

Hence, the expression simplified after the multiplication is 16x² - 9.

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Answer:

198 mg

Step-by-step explanation:

A child weighs 44 lbs.

Step 1

We convert the child's weight to kg

1 Ibs = 0.45kg

44 Ibs = x

Cross Multiply

1 Ibs × x = 44 Ibs × 0.45 kg

x = 44 Ibs × 0.45 kg/1 Ibs

x = 19.8 kg

Step 2

The physician orders a medication for 10 mg/Kg/day.

From the above statement, we know that:

10mg = 1 kg

Hence, what you give per day is calculated as:

1 kg = 10 mg

19.8kg = x

Cross Multiply

1 kg × x = 19.8kg × 10mg

x = 19.8kg × 10mg/1kg

x = 198mg

Therefore, what you will give per day to a child of 19.8kg(44 Ibs) is 198mg per day

Answer:

QT = 16

Step-by-step explanation:

ΔQRS ~ ΔQRT

In similar triangles, corresponding angles are in same ratio.

[tex]\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}[/tex]

Cross multiply,

QT * 25 = 20 * 20

[tex]QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16[/tex]

Answer:

Step-by-step explanation:

If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,

2x = 210 and x = 105.

The total sum = 210 + 3(105) + 5(105) so

Total sum = 210 + 315 + 525

Total sum = 1050 and

C's share is 525 and

B's share is 315

Answer: (4, 1)

Step-by-step explanation:

Let's solve this by adding the equations

2x+3y=11

+x-3y=1

3x=12

Now we can solve

[tex]\frac{3x}{3} =\frac{12}{3} \\x=4[/tex]

Now that we know x=4 it can only be the first to options. Let's sub in the value of x to one of the original equations to find the value of y.

[tex]2(4)-3y=11\\8+3y=11\\8+3y-8=11-8\\\\3y=3\\\frac{3y}{3} =\frac{3}{3} \\y=1[/tex]

The answer is (4, 1)

Answer:

What

Step-by-step explanation:

You can’t have more than 2 combinations with £9

Perpendiculat Line is when both slopes of equation multiplying each others and equal to -1.

[tex] \large \boxed{m_1m_2 = - 1}[/tex]

For an easier way to understand, a perpendicular line has a negative reciprocal slope. For example if we are given the equation of y = 2x then the equation that is perpendicular to y = 2x would be y = (-1/2)x.

From both equations. We can either arrange in slope-intercepy form or use the slope formula which is m = -A/B when the equation is in Ax+By+C = 0 or Ax+By = C.

[tex] \large{ \begin{cases} 2x - 5y = - 3 \\ 5x + 2y = 6 \end{cases}}[/tex]

To find if these two lines are perpendicular to each others. Use the slope formula of -A/B.

[tex] \large{ \begin{cases} m_1 = - \frac{2}{ - 5} \\ m_2 = - \frac{5}{2} \end{cases}} \\ \large{ \begin{cases} m_1 = \frac{2}{ 5} \\ m_2 = - \frac{5}{2} \end{cases}}[/tex]

Now recall that it is perpendicular when one of them is negative reciprocal of one another (-5/2 is negative reciprocal of -(-2/5) = 2/5 and 2/5 is negative reciprocal of -5/2).

Or in definition of perpendicular lines, both slopes multiply and must equal to -1.

[tex] \large{( \frac{2}{5} )( - \frac{5}{2} ) = - 1} \\ \large{ - 1 = - 1}[/tex]

Thus the equation is true which makes both lines perpendicular to each others.

Answer

Let me know if you have any doubts!

Answer:

9/8 cup peanuts were used

The amounts are:

Correct

Correct

Incorrect

Answer:

step 4

Step-by-step explanation:

Answer:

Step  4

Step-by-step explanation:

[tex]\frac{1 + 3^2}{5} + |-10| \div 2\\\\Step \ 1 : \frac{1 + 3^2}{5} + 10 \div 2\\\\step \ 2 : \frac{1 + 9}{5} + 10 \div 2 \\\\Step \ 3 : \frac{10}{5} + 10 \div 2\\\\Step\ 4: 2 + 10 \div 2\\\\Step \ 5 : 2 + 5 \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ given : 12 \div 2 \ ]\\\\Step \ 6 : 7[/tex]

Problem 1

Part (a)

It is possible to find the equation of the line of best fit by hand, but it's much more efficient to use technology. That could mean a graphing calculator, an online tool, or some computer software installed. I'm going to use GeoGebra. Specifically, I'm using the "FitLine" command to find the regression line.

The equation of line of best fit is y = -2.45x + 11.83

There's not much to say in terms of steps, since it's basically a calculator problem. Doing this by hand would take a lot longer than it should be.

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

Part (b)

Plug in x = 2.3 and evaluate

y = -2.45x + 11.83

y = -2.45*2.3 + 11.83

y = 6.195

Answer: 6.195

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

Part (c)

We'll compare the result from the previous part (6.195) to the y value in the table (6.2)

The difference is 6.2 - 6.195 = 0.005

This means the estimated value is off by 0.005 and this is an underestimate (since 6.195 is smaller than 6.2)

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

Problem 2

To be perfectly honest, I'm not sure what's going on here. It seems like there's missing context to the problem. Perhaps a data table that got cut off or this is referring to a previous problem.

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

Problem 3

Recall that y = mx+b is the slope intercept form

m = slope

b = y intercept

We simply read off the values of the given equation y = 0.404x - 5.18 to see that 0.404 is the slope and -5.18 is the y intercept

The slope tells us that each time x goes up by 1, y will increase by an estimated amount of 0.404; this represents the unit rate or speed. In this context, it means the height goes up by about 0.404 cm per day. This is an estimated value because the regression line itself is a collection of estimated points.

The y intercept is where the graph crosses the y axis. It always occurs when x = 0. The x refers to the day number. Day 0 is basically the starting day. So the y intercept being -5.18 means the estimated height is -5.18 cm on the starting day. At first glance, it might not seem possible to have a negative height. But simply think of negative heights as below ground level, much like how the negative y values are below the x axis.

In other words, the plant is estimated to start off at about 5.18 cm below ground level. This is a reasonable assumption because the seed is buried into the ground (assuming at this level more or less) and it then grows upward.

Answer:

A Jeff is faster than Cameron.

Step-by-step explanation:

Given

[tex]Jeff = 7km/hr[/tex]

[tex]Cameron = 100m/min[/tex]

Required

Which is faster

To do this, we simply convert both to the same unit.

We have:

[tex]Jeff = 7km/hr[/tex]

Convert to m/min

[tex]1km \to 1000m; 1hr \to 60min[/tex]

So:

[tex]Jeff = \frac{7 * 1000m}{1 * 60min}[/tex]

[tex]Jeff = \frac{7000m}{60min}[/tex]

[tex]Jeff = 117\ m/min[/tex]

Recall that: [tex]Cameron = 100m/min[/tex]

By comparison:

[tex]117m/min > 100m/min[/tex]

Hence, Jeff is faster.

meh, I'm borred rn, and 15p are 15p. maybe some1 will get something out of this someday :p

Part A

Option 1 is exponential (steps get bigger)

Option 2 is linear (steps stay the same)

Part B

f1(x) = 1000 * 1.1^x

f2(x) = 1000 + 100x

Part C

f1(20) = 1000 * 1.1^20 = 6727.50

f2(20) = 1000 * 100*20 = 3000

Answer:

1/4x is basically x divided by 4/multiplied by 1/4

this can be applied in examples such as:

1/4(2) = 0.5

etc.

Step-by-step explanation:

i hope this helped, if not, please leave a comment specifically requiring what exactly you are stuck with.

Answer:

 1/8x+1/8x

Step-by-step explanation:

Answer:

Domain { 4,8,12,16,20}

Range { 1,2,3,4}

This is not a function because two of the inputs have more than one output

Step-by-step explanation:

The domain is the x values ( input)

Domain { 4,8,12,16,20}

The range is the y values (output)

Range { 1,2,3,4}

This is not a function because two of the inputs have more than one output

Answer:

83

Step-by-step explanation:

a_1 = -4

a_2 = -1

a_2 - a1 = -1 - (-4) = 3

Each new term is 3 added to the previous term.

a_n = a_1 + 3(n - 1)

Test: Let's find the 4th term and see if we get a_4 = 5.

a_4 = a_1 + 3(4 - 1) = -4 + 3(3) = -4 + 9 = 5

We see that the 4th term really is equal to 5.

a_30 = a_1 + 3(30 - 1) = -4 + 3(29) = -4 + 87 = 83

Answer:

zero of a polynomial can be defined as the points where the polynomial become 0 as a whole.

An equation formed with variables, exponents and coefficient together with operation and an equal sign is called polynomial equation.

I hope this will help you

Answer:

J

Step-by-step explanation:

Using the cofunction identity

cosθ = sin([tex]\frac{\pi }{2}[/tex] - θ )

Then

[tex]\frac{1}{sin(\frac{\pi }{2}-0) }[/tex]

= [tex]\frac{1}{cos0}[/tex]

= [tex]\frac{1}{0.8}[/tex]

= 1.25 → J

The value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.

The coordinate axes divide the plane into four quadrants, labelled first, second, third and fourth as shown. Angles in the third quadrant, for example, lie between 180 degrees and 270 degrees.

Given

1/cosθ = 0.8

1/sin([tex]\frac{\pi }{2}[/tex] - θ) =?

By using quadrants in trigonometry

we know that sin([tex]\frac{\pi }{2}[/tex] - θ) = cosθ

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

= 1/cosθ

= 1/0.8

= 1.25

1/sin([tex]\frac{\pi }{2}[/tex] - θ) = 1.25

Hence, the value of 1/sin([tex]\frac{\pi }{2}[/tex] - θ) is 1.25.

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