The graph of the piecewise function f(x) is shown.
1 f(x)

Answer:

2

Step-by-step explanation:

x + 2y = 14

2y = -x + 14

y = -1/2 x + 7

m = -1/2

product of slopes is -1

so perpendicular slope is 2

[tex](a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3[/tex]

[tex](b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7[/tex]

[tex](c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5[/tex]

[tex](d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2[/tex]

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

the bottom left is the answer. I hope this helps.

Answer:

16

Step-by-step explanation:

(Trust me)

Using the concept of probability, the probability of rolling 2 sixes would be 1/25

From the tree diagram given :

The probability of rolling 2 sixes can be defined thus :

Hence,

P(2 6's) = 1/5 × 1/5 = 1/25

Hence, the probability of rolling 2 sixes is 1/25.

Learn more : https://brainly.com/question/14522818

Answer:

15 - 5 = 10 wow that was so hard

Answer:

the awnser is 10

Step-by-step explanation:

x=15 so

15-5=10

Answer:

for the first one the answer is 65.94 and for the second one its 50.27

Step-by-step explanation:

to find circumference from diameter(the half) you just multiply your diameter by pie(3.14). To find the circumference from the radius(the line on second circle), you just do 2 x pie(3.14) x R(which in this case is 8) and that will give you your answer

Answer:

20

Step-by-step explanation:

uvuctxtxyvuvigh ufydigifyds6dgbjj

Answer:

slope= [tex]\frac{2}{3}[/tex] or 0.6

y-intercept= -1

y= 0.6x+ -1

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

the y-intercept is where the line crosses the y axis

the equation for a line is y=mx+b where m is slope and  b is y

Answer:

Slope: 1.5

Y-intercept: (0,-1)

Equation of the line: y=1.5x-1

Step-by-step explanation:

Slope=

change of y/change of x=

3/2 (or 1.5)

Equation of the line:

y=1.5x+b

-1=1.5(0)+b

-1=b

y=1.5x-1

Answer:

scale factor is 1:4

Step-by-step explanation:

the blue rectangle is 4 times larger than the black one; you can compare coordinates; for example, (4,5) becomes (16,20)

Answer:

47 is the correct answer.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

divide 473 by 10

473 divided by 10 = 47

Answer:

145°

Step-by-step explanation:

[Finding the non-label angled in the triangle] 180° - 75° = 105°

Finding 3: (x = angle 3)

[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180

[combine like terms] 145° + x = 180°

[subtracting 145 from both sides] 35° = x

    () We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle

Finding 4: (x = angle 4)

180 - 35 = 145°

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

B.97

Step-by-step explanation:

Heyy so angle ADC and DAB are supp to one another, thus

83 + DAB = 180 --> subtracting

DAB =97. B

Hope that made sense :)

Answer:

I can only answer ii.

A=Lxwxh

=6mx3mx4m

=18mx4m

A=40msquared .

A=Lxwxh

40msquared = 6mx3mxh

40msquared =18msquaredxh

40/18msquared=18xh/18msquared

131/3=h.

that's what I thought

Step-by-step explanation:

I think I should first find the area

of the figure.then I will use the area to find the height.

If v(t) and h(t) denote the ball's velocity and height at time t, respectively, then we have h(0) = 1.2 m and v(0) = 58 m/s.

The ball is in free fall after being tossed, so its acceleration is constant at any time t :

[tex]a(t) = -9.8 \dfrac{\rm m}{\mathrm s^2}[/tex]

By the fundamental theorem of calculus, the velocity function is given by

[tex]\displaystyle v(t) = v(0) + \int_0^t a(u) \, du[/tex]

Compute the integral:

[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) \int_0^t du[/tex]

[tex]\displaystyle v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t - 0)[/tex]

[tex]\displaystyle \boxed{v(t) = 58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t}[/tex]

Similarly, the height function is given by

[tex]\displaystyle h(t) = h(0) + \int_0^t v(u) \, du[/tex]

[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \int_0^t \left(58 \frac{\rm m}{\rm s} - \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t\right) \, du[/tex]

[tex]\displaystyle h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) (t - 0) - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) (t^2 - 0^2)[/tex]

[tex]\displaystyle \boxed{h(t) = 1.2 \, \mathrm m + \left(58 \frac{\rm m}{\rm s}\right) t - \frac12 \left(9.8 \frac{\rm m}{\mathrm s^2}\right) t^2}[/tex]

Answer:

V(t) = 58-9.8t

h(t)=1.2+58t-4.9[tex]t^{2}[/tex]

Step-by-step explanation:

Using the standard formula

a=V f-Vi/t --rearrange

at=V f-Vi

V f=V i + a t

therefore

V(t)=58-9.8t

same with height

H= Hi+Vit+1/2at^2

therefore

h(t)=1.2+58t-4.9t^2

Answer:

68.54 dollars is you answer you would do 63 times .088 and add 63 to your answer

Step-by-step explanation:

Answer:

He spent 3/4 of an hour reading stories

Step-by-step explanation:

Sorry I dont have time :(

Answer:

Step-by-step explanation:

It isn't an appropriate sample to use to infer the preference of all 7th grade students because they only get the students in one club, a better sampling method would be to get the answer from 25 grade 7 students in other clubs including the art club.

- i'm sorry if this doesn't make any sense

Todd's method of sampling is incorrect because he chose the student from a single club. To make it better he has to choose students from different clubs.

The sampling method is the method of selecting the subset from the set to make a statical inference.

Todd surveyed the 25, 7th-grade students in the art club to determine what movies 7th-grade students prefer.

This method is not an appropriate sample to use infer preference of all 7th-grade students because they only get the students in one club, a better sampling method would get the correct surveyed from 25 grade 7 students in other clubs including the art club.

More about the sample method link is given below.

https://brainly.com/question/15125943

Answer:

2/3

Step-by-step explanation:

     [] Since is the line is going up from bottom-left to top-right, we know it will be positive

     [] Because this graph has distinctive coordinate-points, we can use rise over run

     () The other method is to use the change in y divided by the change in x

We start at (-2, 0), then count 2 up and 3 over to get to (2, 1) which gives us a slope of 2/3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

  0 solutions

Step-by-step explanation:

The two equations describe parallel lines, so will have no point of intersection. There are no solutions to this system of equations.

__

The equations can be put into slope-intercept form by eliminating the parentheses.

  6(x +2) = y   ⇒   y = 6x +12

  y = 3(2x +3)   ⇒   y = 6x +9

These have the same slope (6), but different y-intercepts (9 and 12). They are parallel lines.

Taking into account the definition of corresponding angles and Corresponding Angles Theorem, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

First of all, remember that a transverse line is a line that crosses or passes through two other lines. Sometimes the other two lines are parallel and the transversal passes through both lines at the same angle. However, the other two lines do not have to be parallel for a transversal to cross them.

Corresponding angles are angles formed when a transverse line crosses two straight lines. These angles are formed at equivalent corners or at corners corresponding to the transversal when two lines are intersected by a third line.

In other words, if a transversal line intersects two parallel lines, the corresponding angles are those that are on the same side of the parallels and on the same side of the transversal.

The Corresponding Angles Theorem states that if two parallel lines are cut by a transversal, then the corresponding pairs of angles are congruent.

Remember that if two angles are congruent, then they have the same measure.

The opposite of this theorem is also true:  If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

In summary, if the corresponding angles are congruent, then two lines cut it by a transversal are parallel.

Learn more about corresponding angles theorem:

Answer:

∑[ (250)2 (400)2 (250)2 (350)^2 (100)2 (50)2] = 420,000.

Step-by-step explanation:

You first calculate the mean which is  is 2150.

You then subtract 2150 from the 6 values in turn

The first one = 2400 - 2150 = 250.

Then you square each of the 6 results and add them up - this comes to 420,000.

12 ≡ 7 + 5 ≡ 5 (mod 7)

so

12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)

Answer:

f

and

c

the top is f and front is c

Step-by-step explanation:

f and c

E and C

Step-by-step explanation:

E on the front

C on the top

I hope it helps

Answer:

x=1

Step-by-step explanation:

Answer:

Here you go

Step-by-step explanation:

it's all in the screenshot

Answer: 6

Step-by-step explanation:

1. 2(4 + px) = 12x (write it down)

2. 8 + 2px = 12x (distributive property)

3. 8/2 + 2px/2 = 12x/2 (divide all by 2

4. 4 + px = 6x

5. 4 = 6x - px

Plug all in:

4 = 6x - 2x (possinle)

4 = 6x - 6x (not possible)

4 = 6x - 12x (possible)

4 = 6x - 24x (possible)

Answer: 6

because:

4 = 6x - 6x

4 = 0