Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
is it a,b,c or d?

Answer:

48√2

Step-by-step explanation:

3√(512)

= 3√(256×2)

= 3√(256)×√(2)

→ we know that 16² = 256 then √(256) = 16

Then

3√(512)

= 3 × 16 ×√(2)

= 48√(2)

Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

                         #lbs solution           *          % salt         =           lbs. salt

  3% solution

-  Water                                                                                                      

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

                             #lbs solution        *        %salt        =        lbs salt

  3% solution                50                 *          .03         =           1.5

-  Water                                                                                                

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

                          #lbs solution         *       %salt        =        lbs. salt

   3% solution            50                  *         .03         =           1.5

-   Water                       x                  *            0          =            0        

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

                            #lbs. solution        *       %salt        =        lbs. salt

   3% solution               50                *         .03          =           1.5

-   Water                          x                 *           0           =            0        

New solution         50 - x                  *         .05          =     2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Copy dot flip

8/9 * 3/2

Rewriting

8/2 * 3/9

4 * 1/3

4/3

Answer:

"2.25" is the right answer.

Step-by-step explanation:

According to the question,

The expected value will be:

= [tex]\sum_{i=1}^{n} x_i P(X = x_i)[/tex]

= [tex]0\times \frac{1}{8}+1\times \frac{1}{4}+2\times \frac{3}{16}+3\times \frac{1}{4}+4\times \frac{1}{6}+5\times \frac{1}{8}[/tex]

= [tex]0+\frac{1}{4}+\frac{3}{8} +\frac{3}{4}+\frac{1}{4} +\frac{5}{8}[/tex]

= [tex]\frac{1}{4} +\frac{8}{8} +\frac{4}{4}[/tex]

= [tex]\frac{1}{4} +1+1[/tex]

= [tex]0.25+2[/tex]

= [tex]2.25[/tex]

Thus the above is the right approach.

Answer:

The answer is 9/4 in fraction form

Step-by-step explanation:

Rate the answer you welcome.

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

Answer:

0.02625

2.1 tenths

2.1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

107 x 3.778 x 125/100 = 4.735 x 1-7

Answer:

[tex]4x - 20 = 4[/tex]

Step-by-step explanation:

Let the missing number be x

Quadruple means 4 times

So According to the question,

4x - 20 = 4 is your answer

Hope this helps

Answer:

Step-by-step explanation:

The circumcenter is equidistant from the three vertices of the triangle. From the figure shown, we will prove DA = DB = DC. 2) DA = DB, DC = DB(If a point is on the perp. bisector of a segment, it is equidistant from each endpoint of the segment.)

No

No

No

Yes

The definition Khan Academy gave is "A statistical question is one that can be answered by collecting data and where there will be variability in that data. For example, there will likely be variability in the data collected to answer the question, "How much do the animals at Fancy Farm weigh?" but not to answer, "What color hat is Sara wearing?".

A-C all don't have variability. They are set in place. However, the ages of all people in your class can change annd thus exhibit variability.

Answer:

Measure of the unknown angle is 21°.

Step-by-step explanation:

In the given question,

Measure of opposite side and the measure of hypotenuse have been given.

Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.

[tex]\text{sin}\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]=\frac{13}{36}[/tex]

      [tex]=0.36111[/tex]

[tex]\theta \approx \text{sin}^{-1}(0.36111)[/tex]

[tex]\theta \approx 21.17[/tex]

[tex]\theta \approx 21^{\circ}[/tex]

Therefore, measure of the unknown angle is 21°.

[tex] \sqrt{4 \frac{53}{169} } [/tex]

[tex] \sqrt{ \frac{729}{169} } [/tex]

[tex] \sqrt{ \frac{27}{13} } [/tex]

Answer:

7) 12,000

8) 0.0004253

9) -11/6 < x < -2/3

10) all possible numbers

Answer:ÑÑÑÑÑÑÑÑÑññÑÑÑÑññññññÑÑÑÑÑÑÑÑÑñÑÑÑÑññ

Step-by-step explanation:

Part A

The function y = -16x^2 + c represents the height of the ball at time x

We're told the building is 64 ft tall (roughly 6 stories), so c = 64

That means the function updates to y = -16x^2 + 64

The graph is shown below. Some points of interest on the graph are

Plot these points, and others if you wish, and draw a parabolic curve through them to complete the graph. To generate any (x,y) point, you simply plug in a given value for x to find its corresponding y value.

For example, if you plugged in say x = 1, then,

y = -16x^2 + 64

y = -16*1^2 + 64

y = -16 + 64

y = 48

Do the same for other x values to get the points mentioned earlier. The more points you plot, the more accurate the curve.

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

Part B

From the graph made in part A, we see that the parabola crosses the x axis at (2,0). This is the x intercept marked as point E in the diagram. This is when the ball hits the ground because y = 0, aka the height is 0.

The ball hits the ground at 2 seconds  (ie the ball is in the air for 2 seconds).

There's not much in terms of steps or explanation here because much of that was already done.

Answer:

Step-by-step explanation:

The trick here is that the equation factors.

y= 2x^2 + 11x + 5

y = (2x + 1)(x + 5)

So either

2x + 1 = 0         subtract 1 from both sides      

2x = - 1             divide by 2  

2x = -1/2

or

x + 5 = 0          Subtract 5 from both sides

x = - 5

Answer: B and D

Answer:

28.24

Step-by-step explanation:

25 + 32/10 + 4/100

25 + 3.2+ .04

28.24

[tex] \sf25 + \frac{32}{10} + \frac{4}{100} \\ \sf = 25 + 3.2 + 0.04 \\ \sf \: = 28.24[/tex]

Answer:

C. 28.24

Hope you could get an idea from here.

Doubt clarification - use comment section.

Range = -4= g(x)

Therefore, g(x) = -3x+2

or, -4=3x +2

or, 3x= -4-2

or, 3x= -6

or, x= -6/3 = -2

OPTION A is the correct answer.

When the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To find the domain value when the range value is -4 for the function

g(x) = -3x + 2, we need to solve for x when g(x) = -4.

Given: g(x) = -3x + 2

When the range value is -4, we have:

-3x + 2 = -4

Now, isolate x:

-3x = -4 - 2

-3x = -6

Now, divide by -3 to solve for x:

x = -6 / -3

x = 2

So, when the range value is -4 for the function g(x) = -3x + 2, the corresponding domain value is x = 2.

To know more about range:

https://brainly.com/question/29204101

#SPJ2

I am assuming that the statements are as follows:

The foci of both graphs are the same points.

The lengths of both transverse axes are the same.

The directrices of = 1 are horizontal while the directrices of = 1 are vertical.

The vertices of = 1 are on the y-axis while the vertices of = 1 are on the x-axis.

It should be A because of

Edge 21.

Answer:

18 units.

Step-by-step explanation:

A classic right triangle is the 3, 4, 5 triangle. Essentially, 3^2 + 4^2 = 5^2 . Otherwise known as, 9 +16 = 25. With that said, there are two of those that we can make by drawing horizontal lines along the grid. We also know from counting the two vertical sides are each 4 units. To summarize, two sides are 5 units and two are 4 units. We add them together, 5 + 5 + 4 + 4 = 18

Answer:

yes N = natural number it's correct what I need to ask

Given:

The function is:

[tex]f(x)=2x^3+2x^2-3x-3[/tex]

To find:

The remainder when the given function is divided by [tex]x-2[/tex].

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

We have,

[tex]f(x)=2x^3+2x^2-3x-3[/tex]

This function is divided by [tex]x-2[/tex]. By using the remainder theorem, the remainder is f(2).

Putting [tex]x=2[/tex] in the given function, we get

[tex]f(2)=2(2)^3+2(2)^2-3(2)-3[/tex]

[tex]f(2)=2(8)+2(4)-6-3[/tex]

[tex]f(2)=16+8-9[/tex]

[tex]f(2)=15[/tex]

Therefore, the remainder is 15.

Answer:

b) quadratic

Step-by-step explanation:

Answer:

b. quadratic

Step-by-step explanation:

it makes the shape of a parabola

hope this helps

Answer:

l = 14.6 m

b = 53.4 m

Step-by-step explanation:

Let breadth be x

Let lenght be 4x-5

so,

perimeter = 2(l+b)

136 = 2(4x-5+x)

or, 136 = 2(5x-5)

or, 136 = 10x - 10

or, 136 + 10 = 10x

or, 146 = 10x

or, x = 146/10

so, x = 14.6 m

so, breadth(x) = 14.6

so, lenght = 4x - 5

= (4×14.6)-5r

= 53.4m

Answer:

[tex]7- 7 {z}^{4} [/tex]

Step-by-step explanation:

[tex]11z^4-18z^4[/tex]

[tex] - 7 {z}^{4} [/tex]