Use the parabola tool to graph the quadratic function f(x)=−(x−2)2+4.

Answer:

[tex] 3^{ -x+3}[/tex]

Step-by-step explanation:

We need to simplify out the given exponential expression . The given expression to us is ,

[tex]\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}} [/tex]

We can use the Law of Exponents to simplify the given expression . Recall that ,

[tex]\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}[/tex]

Note that , we can write ,

[tex]\rm\implies \dfrac{1}{3}= 3^{-1}[/tex]

Therefore our expression becomes ,

[tex]\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}[/tex]

Simpify using the Law of Exponents ,

[tex]\rm\implies 3^{ -1 - ( x - 4 )}[/tex]

Open the brackets in exponent ,

[tex]\rm\implies 3^{ -1 - x +4 }[/tex]

Simplify to get final expression ,

[tex]\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}[/tex]

Answer:

The key here is estimate, you don't need exact values or more information for this problem. First estimate the mass of an average apple. A quick online search reveals that the mass of an average apple is approximately 100 grams. Multiply by 12 for the bag and convert to whatever units you're asked to express your answer in.

Step-by-step explanation:

X -> times 2 -> plus 4 -> r(x)

Step-by-step explanation:

-4=x -4=r(x) -4 x 2=-8 -8+4=-4

Answer:

If on imagine math then its on the picture, have a nice day!

Step-by-step explanation:

Answer:

b = 74

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles in a triangle

b-44 + b+18 = b+48

2b-26 = b+48

Subtract b from each side

2b-b-26 =b+48-b

b-26 = 48

Add 26 to each side

b-26+26 = 48+26

b =74

Step-by-step explanation:

it is exponential growth because the coefficient of x is not negative

the evidence is in the image above

the gradient increases

Answer:

you save $500 for 7 years at 6% compounding continuously

what is the final value...

A = $500 [tex]e^{.06(7)}[/tex]

Step-by-step explanation:

Answer:

32/33

Step-by-step explanation:

We first need to find out how many square yards are vacuumed every one minute.

Let's set up a chart:

yards        minutes

8/11      -->    3/4

y          -->     1

Here, y is the number of yards it takes to vacuum in one minute. Next, we can use cross-multiplication to find out y.

1. Multiply 1 by 8/11 to get... 8/11

2. Multiply 3/4 by y to get... 3/4y

3. Equate them: 8/11 = 3/4y

4. Divide both sides of the equation by 3/4 OR multiply both sides of the equation by 4/3 to isolate y, the variable

5. This gives us 32/33 = y

Answer:

[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Answer:

answer C

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]

Answer:

77

Step-by-step explanation:

20-(+20)-(-65)-(-12)​

-(-65)-(-12)​

+65-(-12)​

+65+12

77​

Q) 20-(+20)-(-65)-(-12) = ?

→ 20-(+20)-(-65)-(-12)

→ 20 - 20 + 65 + 12

→ {20 - 20} + {65 + 12}

→ 0 + 77

→ 77 is required solution.

Answer:

C is correct

Step-by-step explanation:

A square minus a square can always be factored into the square root of the 1st term plus and minus the square root of the 2nd term. So

x**4 - 81 = (x**2 + 9)(x**2 -9) = (x**2 + 9) (x + 3)(x - 3)

Answer:

17 is the answer

Step-by-step explanation:

Answer:

2 [tex]\frac{1}{3}[/tex] planes

Step-by-step explanation:

Set up a ratio.

planes over time.

Because the time is given in minutes. No conversion necessary.

[tex]\frac{planes}{time}[/tex] = [tex]\frac{3.5}{60}[/tex] = [tex]\frac{x}{40}[/tex]

Cross Multiply

60 (x) = 3.5 (40)

60x = 140      Divide by 60, both sides.

x = 2.333 repeating also know as 2 [tex]\frac{1}{3}[/tex].

Answer:

The margin of error is of 1.5 milligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

Standard deviation of 9

This means that [tex]\sigma = 9[/tex]

Sample of 130

This means that [tex]n = 130[/tex]

Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content of all such eggs.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{9}{\sqrt{130}}[/tex]

[tex]M = 1.5[/tex]

The margin of error is of 1.5 milligrams.

Answer:

The answer is "1.75".

Step-by-step explanation:

Given:

[tex]\to 4u + 10 =17[/tex]

Find:

[tex]\to u = ?[/tex]

Solution:

[tex]\to 4u + 10 =17\\\\\to 4u = 17-10\\\\\to 4u = 7\\\\\to u = \frac{7}{4}\\\\\to u=1.75[/tex]

Answer:

Step-by-step explanation:

The domain includes all the "allowed" x values. Looking at the graph, it appears to start a tiny tiny bit to the right of 0, so it doesn't include 0. It also does not go to the left of 0. Therefore, the domain of the graph is x > 0

Answer:

What is the Existing / Old tax regime?

Income Range Tax rate Tax to be paid

Up to Rs.2,50,000 0 No tax

Between Rs 2.5 lakhs and Rs 5 lakhs 5% 5% of your taxable income

Between Rs 5 lakhs and Rs 10 lakhs 20% Rs 12,500+ 20% of income above Rs 5 lakhs

Above 10 lakhs 30% Rs 1,12,500+ 30% of income above Rs 10 lakhs

Answer:

A{6,12}

Step-by-step explanation:

Maybe I'm not sure about that.

Step-by-step explanation:

First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.

It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.

Answer:

Step-by-step explanation:

So triangles they are similar to that                                                                                   [tex]\displaystyle\ \dfrac{BE}{GB} =\frac{BP}{CB} => \frac{BE}{400} =\frac{200}{300} => \boxed{BE=\frac{800}{3}} \\\\\\ \frac{PE}{CG} =\frac{BP}{CB}=>\frac{PE}{350} =\frac{200}{300} => \boxed{PE=\frac{700}{3} }[/tex]

Answer:

37.5cm

Step-by-step explanation:

V=1/3Bh

150=1/3 12h

150=4h

37.5=h

Answer:

-1

Step-by-step explanation:

y = -1

Answer:

you need 4 oz. to get the even 6 oz.

Answer:

3/16

Step-by-step explanation:

-3*-1=3, 4*4=16

Answer:

3/16

Step-by-step explanation:

Multiply both the numerators (top number) and denominators (bottom numbers) together

-3 x -1 = 3....bc negative times negative always equals positive

4 x 4 = 16

Answer:

A

Step-by-step explanation:

Answer A. Logically speaking there is no fair chance unless they use all the names but we can rule out C by the higher chance of students crowding, B is less likely as selecting winners from students who arrive first would be nearly the same as who bought their tickets first. D, selecting a grade excludes (estimating) around 1500 students or more from being included. A is the only logical answer left and by dividing them randomly you give everyone a full chance.

Answer:

x = 7

Step-by-step explanation:

When two parallel lines are cut by a transversal, the corresponding angles are equal.

8x +2 = 7x + 9

Subtract 2 from both sides

8x = 7x + 9 - 2

8x = 7x + 7

Subtract 7x from both sides

8x - 7x = 7

x = 7

Answer:

x=7

Step-by-step explanation:

The 2 given angles are vertical to each other, so that means they are equal to each other.

To solve, set up an equation:

[tex]7x+9=8x+2[/tex]

Solve by isolating the variable. [Subtract and divide]

[tex]7x=8x-7[/tex]

[tex]-x=-7[/tex]

Multiply both sides by -1 to get rid of the negative sign.

[tex]x=7[/tex]

I hope this helps!

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]

                              = [tex]\frac{88}{21}[/tex] x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

Velocity, distance and time:

This question is solved using the following formula:

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

On the first day of travel, a driver was going at a speed of 40 mph.

Time [tex]t_1[/tex], distance of [tex]d_1[/tex], v = 40. So

[tex]v = \frac{d}{t}[/tex]

[tex]40 = \frac{d_1}{t_1}[/tex]

The next day, he increased the speed to 60 mph. If he drove 2 more hours on the first day and traveled 20 more miles

On the second day, the velocity is [tex]v = 60[/tex].

On the first day, he drove 2 more hours, which means that for the second day, the time is: [tex]t_1 - 2[/tex]

On the first day, he traveled 20 more miles, which means that for the second day, the distance is: [tex]d_1 - 20[/tex]

Thus

[tex]v = \frac{d}{t}[/tex]

[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]

System of equations:

Now, from the two equations, a system of equations can be built. So

[tex]40 = \frac{d_1}{t_1}[/tex]

[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]

Find the total distance traveled in the two days:

We solve the system of equation for [tex]d_1[/tex], which gets the distance on the first day. The distance on the second day is [tex]d_2 = d_1 - 20[/tex], and the total distance is:

[tex]T = d_1 + d_2 = d_1 + d_1 - 20 = 2d_1 - 20[/tex]

From the first equation:

[tex]d_1 = 40t_1[/tex]

[tex]t_1 = \frac{d_1}{40}[/tex]

Replacing in the second equation:

[tex]60 = \frac{d_1 - 20}{t_1 - 2}[/tex]

[tex]d_1 - 20 = 60t_1 - 120[/tex]

[tex]d_1 - 20 = 60\frac{d_1}{40} - 120[/tex]

[tex]d_1 = \frac{3d_1}{2} - 100[/tex]

[tex]d_1 - \frac{3d_1}{2} = -100[/tex]

[tex]-\frac{d_1}{2} = -100[/tex]

[tex]\frac{d_1}{2} = 100[/tex]

[tex]d_1 = 200[/tex]

Thus, the total distance is:

[tex]T = 2d_1 - 20 = 2(200) - 20 = 400 - 20 = 380[/tex]

The total distance traveled in two days was of 380 miles.

For the relation between velocity, distance and time, you can take a look here: https://brainly.com/question/14307500

Answer:

Total traveled distance is : 380 miles

Step-by-step explanation:

Let´s call variables of the first day of travel as:

v₁ = 40 mph

Time of travel  unknown but 2 hours more than the second day

Traveled distance ( unknown) but 20 miles more than the second day

And for the second day

v₂ = 60 mph

Time of travel t

Traveled distance s (unknown)

With that information, we can make a model of a two equations system as follows:

We know that s = v*t ( where s is the distance traveled, v the speed, and t the traveled time) then

First day  

Total distance traveled s + 20 is equal to:

s + 20 = 40 * ( t + 2 )

The second day:

s = 60*t

The system is:

s + 20 = 40 * ( t + 2 )

s = 60*t

By substitution

60*t + 20 = 40 * ( t + 2 )

60*t + 20 = 40*t + 80

60*t - 40*t = 80 - 20

20*t = 60

t = 3 hours

Now we can calculate the total distance traveled according to:

First day:  s₁ = 40 (m/h)* (t + 2) (h) = 40*5 miles      s₁ = 200 miles

Second day:

s = 60*t   =  60 (m/h)*3 (h)  =  180 miles

Total distance is : 380 miles

Answer:

-156c

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] of krypton melting point is mercury melting point

[tex]\frac{1}{4}[/tex](k) = -39

k = -39(4)

k = -156c