Which fact is most helpful for finding 2,100÷7

Answer:

x = - 3.5 , y = - 5.5

Step-by-step explanation:

y = x - 2 → (1)

y = 3x + 5 → (2)

substitute y = 3x + 5 into (1)

3x + 5 = x - 2 ( subtract x from both sides )

2x + 5 = - 2 ( subtract 5 from both sides )

2x = - 7 ( divide both sides by 2 )

x = - 3.5

substitute x = - 3.5 into either of the 2 equations for y

substituting into (1)

y = x - 2 = - 3.5 - 2 = - 5.5

then x = - 3.5 and y = - 5.5

Step-by-step explanation:

distance = -6-(-2) and 4-2

-6+2 and 2

-4 and 2 is distance

Answer:

\(d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }\)

d = √(4 - (-2))² + (2 - (-6))²

d = √36 + 64

d = 10

Answer:

\(34 + ( - 21) + 15 = 28\)

Answer:

Step-by-step explanation:

Answer:

The sale tax is $10.42

Answer:

9/20

Step-by-step explanation:

Answer:

610m^2

Step-by-step explanation:

first we find the total area:

25*42=1050

then, we find the area of the white rectangle:

20*22=440

to find the area of the shaded region (which i'm assuming is the blue part), we can subtract the total area by the area of the white rectangle:

1050-440=610

so, the total area is 610m^2.

If \(f^{-1}(x)\) is the inverse of \(f(x)\), then

\(f\left(f^{-1}(x)\right) = x\)

Given \(f(x)=x+7\), the inverse is such that

\(f\left(f^{-1}(x)\right) = f^{-1}(x)+7 = x\)

Solve for \(f^{-1}(x)\) :

\(f^{-1}(x)+7=x \implies \boxed{f^{-1}(x)=x-7}\)

Answer:

5g(g + 8) + 3(g + 8)

5g² + 40g + 3g + 24

5g² + 43g +24

Answer:

Part A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair is

The total amount they both make from selling necklaces = 8·L + 8·A

Part B

The total amount they both make from selling jewelries = 35 + 8·L + 8·A

Step-by-step explanation:

The amount at which Liz and Andy sells necklaces = $8

The amount Andy makes selling bracelets = $35

Part A

The total amount of necklaces Liz sells = L

The total amount of necklaces Andy sells = A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair, 'N', is given as follows;

N = 8·L + 8·A

Part B

The expression for the total amount of money Liz and Andy makes selling jewelries at the fair, 'J', is given as follows;

J = 35 + 8·L + 8·A

The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

Learn more about limit of a function here:

https://brainly.com/question/27449919

#SPJ1

Answer:

5164

Step-by-step explanation:

Answer: 576

Step-by-step explanation:

4x4x4x4 = 256

10+ 256 +22

288 divided by 4/8

576

Answer:

Attaching answer for 1 below!!

2. C. -- y=2x+9

3. B. -- y=5/3x+3

Step-by-step explanation:

1.  First screenshot below

2. To convert standard equations (Ax+By=C)  to slope intercept (y=mx+b), what you do is preform inverse operations on A to both sides (modeled below).  Then, the equation will look like this; By= -Ax+C.  The last thing you need to do to cancel out B from the y is divide both sides by B, and you'll have your answer.  So, I did that exact process with the equation and that's how I got C.  Now, when you have no number next to the y, you don't need to divide, so it's a very simple process that way.

-2x+y=9

+2          +2

3.  Same process for 2, except this time we divided by 3.

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

learn more on right triangle here: https://brainly.com/question/22626760

#SPJ1

A mathematically indication example would be to solve the equation 3x + 2 = 14 for the value of x. The solution would be 4.

Looking for a mathematically indication example, we can consider a simple mathematical equation with one variable and solve it.

The equation would be 3 x + 2 = 14.

So we can solve for the equation to be :

3x + 2 - 2 = 14 - 2

3x = 12

3 x / 3 = 12 / 3

x = 4

In conclusion, the mathematically indication example would be 3x + 2 = 14 and the value of x would be 4.

Find out more on equation solutions at https://brainly.com/question/2228446

#SPJ1

Answer:

what whats the question so I can answer

Answer:

5

Step-by-step explanation:

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.

To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.

In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:

tan(52) = 600 / d1

Rearranging the equation to solve for d1:

d1 = 600 / tan(52)

Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:

tan(46) = 600 / d2

Rearranging the equation to solve for d2:

d2 = 600 / tan(46)

Using a calculator, we can compute:

d1 ≈ 504.61 feet

d2 ≈ 681.95 feet

The distance between the two cars is the difference between d2 and d1:

Distance = d2 - d1

Plugging in the values, we have:

Distance ≈ 681.95 - 504.61

Distance ≈ 177.34 feet

For more such question on angles. visit :

https://brainly.com/question/25770607

#SPJ8

Answer:

mAngleB = 50 degrees

mAngleC = 130 degree

Step-by-step explanation:

The way I did this was by subtracting the given "mAngleA = 40" from the angle that complementary angles are at: 90 degrees, which means that equals 50 degrees. Then, I did the same with mAngleC with the angle that supplementary angles are at: 180 degrees. 180 - 50 = 130 degrees.

Hope my explanation wasn't too hard to follow!

a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:

235 = a * b ^ 0

395 = a * b ^ 10

Solving for a and b, we get:

a = 235

b = (395/235)^(1/10) = 1.067

Therefore, the exponential model for new cases in Milwaukee is:

y = 235 * 1.067 ^ x

b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:

y = 235 * 1.067 ^ 19 = 1018.5

Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.

c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

More can be learned about surface areas at https://brainly.com/question/16519513

#SPJ1

Answer:

The base function is being translated up 4 units due the + 4

sinθ = t/o

cosθ = m/o

tanθ = t/m

cscθ = o/t

secθ = o/m

cotθ = m/t

Answer:

-8d - 3 + 6 +d

you can't subtract 2d and 3 so you bring what's outside the parenthesis to inside the  parenthesis

Answer:

Well all even numbers between 0 and 8 are,

2, 4, 6, 8

Meaning if the button is pressed 4 times 2, 4, 6, or 8 will be outputted.

When press button 4 times. Then output of the program will be,  \((2,4,6,2)\)

Any number that can be exactly divided by 2 is called as an even number.

Given that, When a button is pressed, a computer program outputs a random even number greater than 0 less than 8.

Even numbers greater than 0 less than 8 are,

                             \(=2,4,6\)

When press button 4 times. Then output of the program will be,

                     \(=(2,4,6,2)\)

Learn more about the even numbers here:

https://brainly.com/question/581879

Answer:

log_10(x) - log_10(100000)

Step-by-step explanation:

\(log_{10}(\frac{x}{100000} )\\log_{10}(x) -log_{10}(100000)\\\)

Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

WE can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.

Thus,

\(\dfrac{a}{\frac{b}{c}} = a \times \dfrac{1}{\frac{b}{c} } = a \times \dfrac{c}{b} = \dfrac{a \times c}{b}\)

We have to Use the quotient property to rewrite;

\(log_{10} \dfrac{x}{(100,000)}\)

SO, \(log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000)\)

Therefore, Using the quotient property, log_{10} \dfrac{x}{(100,000)} = log_{10}(x) - log_{10}(100000).

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ2

Answer:

50/240*100=20.83%

Hope it helps

Answer:

20.8%

Step-by-step explanation:

50/240*100% =20.8%

Weight of Omar after 4 weeks is 9.4375 pounds.

The same attribute is expressed using a unit conversion, but in a different unit of measurement.

For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

Weight of Omar at the time of birth = 8 pound 3 ounces

Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces

New weight of Omar

= (8 lb 3 ounces) + 20 ounces

= 8 lb + 23 oz

As, we know 16 ounces = 1 pound

23 ounces = 1.4375 pound

Now, total weight of Omar after 4 weeks = 8 lb + 23 oz

                                                                  ≈ 8 lb + (1.4375) lb

                                                                   ≈ 9.4375 pounds

Learn more about converting pounds here:

brainly.in/question/9767594

#SPJ1

Answer:

x intercept =(-5/3,0)

y intercept = (0,5)

Step-by-step explanation:

FOR THE X INTERCEPT:

-plug 0 in for the y value because the y value is 0 at the x intercept.

     * 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0

FOR THE Y INTERCEPT

-do the same thing as the x intercept, but instead of making y 0, make x 0.

     * 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0

Answer:

\(\lim_{x \to 0} f(x)=1\)

Step-by-step explanation:

So we have the graph of f(x).

And we want to determine the following:

\(\lim_{x \to 0} f(x)\)

To do so, look at the graph and see the value f(x) is approaching as x approaches 0.

We can see that as x gets closer and closer to 0, f(x), or the y-value, gets closer and closer to 1.

In other words, our answer is:

\(\lim_{x \to 0} f(x)=1\)

Edit: Typo.