Which system of inequalities is graphed below?
- 10 -8 -8
-4
4
B
8
10
-8
-8-
-10

Answer:

Part A: This can be solved using cancellation of units: Energy produced (ergs) = (3.9 x 10^ 33 ergs/ sec)( 1.55 x 10^7 sec) = 6.045 x 10^40 ergs Part B: The grooves within a CD is very small, therefore it would be more reasonable to have a value of 1.6 x 10^-3 mm

Hope this helped you!

Step-by-step explanation:

Answer:

10% of the people at the picnic are neither.

Step-by-step explanation:

To get the answer,

1/2 + 2/5 = 9/10

10/10 - 9/10 = 1/10

1/10 = 10%

Thanks, I hope I got this right!

Answer:

6.9 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/hyp

sin 35 = x/12

12 sin 35 = x

6.882917236 = x

To the nearest tenth

6.9 =x

Answer:

5

Step-by-step explanation:

March,May,June,July,August

Answer:

y = -4x - 13

Step-by-step explanation:

Use point - slope form to convert to y = mx + b form

1. Find the slope using y2 - y1 / x2 - x1

    3 + 5 / -4 + 2

    m = -4

2. Plug into point - slope form: y - y1 = m (x - x1)

    y + 5 = -4 (x + 2)

    Distribute

    y + 5 = -4x - 8

    Subtract 5 from both sides

    y = -4x - 13

Answer:

1/16

Step-by-step explanation:

multiply by 1/2

1, 1/2, 1/4 , 1/8, 1/16

Answer:

1/16

Step-by-step explanation:

If you see the pattern it goes by x2 (the denominator)

1 , 1/2, 1/4, 1/8, 1/16

Answer:

  5

Step-by-step explanation:

The number of cells in a tile is 4, so the board dimension cannot be odd, but must be a multiple of 2 in order to have the number of cells divisible by 4.

If the tiles are colored in an alternating pattern, tiles must have 3 of one color and 1 of the alternate color. Hence the total number of tiles used to cover a board must be even (so the numbers of each color match). Then the board dimension must be divisible by 4.

In the given range, there are 5 such boards:

  4×4, 8×8, 12×12, 16×16, and 20×20

Answer:

Option B is the correct answer.

Step-by-step explanation:

B= {- 5, - 4.5, - 3}

Answer:

x = 65; y = 10

Step-by-step explanation:

Theorem:

If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.

The three lines are given as parallel, angles 60 deg and (2x - y) deg are supplementary, and angles (2x + y) deg and 40 deg are supplementary. The sum of the measures of supplementary angles is 180. That allows us to write two equations.

2x - y + 60 = 180

2x + y + 40 = 180

Now we simplify the 2 equations.

2x - y = 120

2x + y = 140

Since -y and y are opposites, we can add the equations to eliminate variable y.

4x = 260

x = 65

Now we substitute 65 for x in the first equation of the system of equations and solve for x.

2x - y = 120

2(65) - y = 120

130 - y = 120

-y = -10

y = 10

Answer: x = 65; y = 10

Answer: C

Step-by-step explanation:

The slope stays the same but the y-intercept is moved up 7 units.

Answer:

9, or -9

Step-by-step explanation:

9t=81 or -81

t=9 or -9

Answer:

[tex]t=9\\t=-9[/tex]

Step-by-step explanation:

[tex]|9t|=81[/tex]

[tex]9t=81\\9t=-81[/tex]

[tex]t=81 \div 9\\t=-81 \div 9[/tex]

[tex]t=9\\t=-9[/tex]

Answer:

Step-by-step explanation:

5x3= 15

8x9=72

12x11=132

14x17=138

9x17=153

15+72+132+138+153=510

510/50=10.2= mean

Answer:

c

Step-by-step explanation:

Khan academy

Answer: 21pi / 5

Step-by-step explanation:

Given the following :

Theta (θ) = 3π / 5

radius (r) = 7cm

The length of an arc is calculated using the formula:

(θ / 360) × 2πr

Inputting the provided values into our formula;

θ = 3π/5 = (3 × 180)° / 5 = 540°/5 = 108°

Length = (108 / 360)° × 2π × 7

Length = (3/10) × 14π

Length = 42π / 10

Length = 21π / 5 cm

Answer:

Show one example of his claim, adding two odd numbers to form an even number

Answer:

C.

Step-by-step explanation:

You cannot prove his conjecture by an example. You must create two generic odd numbers using algebraic expressions. Then you add the two expressions and show that the sum is even.

Answer: C.

Answer:

-7

Step-by-step explanation:

[tex]x^2+x+2=0 \\\\b^2-4ac= \\\\1^2-4(1)(2)= \\\\1-8= \\\\-7[/tex]

Hope this helps!

The value of the discriminant for the quadratic equation 0 = x + 2 + x² is -7.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

x² + x + 2 = 0

The discriminant of a quadratic equation of the form ax² + bx + c = 0 is,

Discriminant = b² - 4ac

Here, a = 1, b = 1 and c = 2

Substituting,

Discriminant = 1² - (4 × 1 × 2)

                     = 1 - 8

                     = -7

Hence the discriminant of the given equation is -7.

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Answer:

Option B.

Step-by-step explanation:

Continuous probability distribution : A probability distribution is called a continuous probability distribution, if its random variable X is a continuous variable and it can take infinite values (Real values).

Number of boxes cannot be a decimal value. So, it is not a continuous variable. Thus, option A is incorrect.

Temperature of a day is a continuous variable. So, temperature of a day can be represented using a continuous probability distribution. So, option B is correct.

Marks in a test paper cannot  represent a continuous variable. Thus, option C is incorrect.

Number of students who uses the internet cannot be a fractional or decimal value. So, it is not a continuous variable. Thus, option D is incorrect.

Therefore, the correct option is B.

Answer:

(-x-7)(x+8)

Step-by-step explanation:

-x²-8x-7x-56

-x(x+8)-7(x+8)

(-x-7)(x+8)

Answer:

it is -1(x+8)(x+7)

Answer:

1.08

Step-by-step explanation:

1.01 < x < 1.17

x ≠ 1.20

x ≠ 1.008

x = 1.08

x ≠ 1.18

x ≠ 1.8

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

Option C is the correct answer.

We have,

To determine which number completes the inequality, we need to find the number that is greater than 1.01 but less than both 1.17 and 1.20.

Among the given options, the number that satisfies this condition is 1.08.

Thus,

The number that completes the inequality is 1.08:

1.01 < 1.08 < 1.17, < 1.20

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Answer:

It'll take approximately 34 years from today.

Step-by-step explanation:

in order to solve this problem we first need to find the rate of change, "k", to do that we will use the given information where the population was 1400 five years ago and its now 1000. Applying this data to the equation gives us:

[tex]A = A_0*e^{k*t}\\1000 = 1400*e^{5*k}\\1400*e^{5*k} = 1000\\e^{5*k} = \frac{1000}{1400}\\ln(e^{5*k}) = ln(\frac{1000}{1400})\\5*k = ln(1000) - ln(1400) \\k = \frac{ln(1000) - ln(1400)}{5} = -0.06729[/tex]

We now know the value for "k", we can estimate how many years it will take for the bird population to dip below 100. We have:

[tex]100 = 1000*e^{-0.06729*t}\\e^{-0.06729*t} = \frac{100}{1000}\\ln(e^{-0.06729*t} = \frac{1}{10}\\-0.06729*t = ln(0.1)\\t = -\frac{ln(0.1)}{0.06729} = 34.22[/tex]

It'll take approximately 34 years from today.

Answer:

[tex]x + 3y + 2z = 13 \\ 2x + 2y + 4z = 18 \\ 3x + 2y - 3z = 14 \\ \\ x = - 3y - 2z + 13 \\ 2( - 3y - 2z + 13) + 2y + 4z = 18 \\ 3( - 3y - 2z + 13) + 2y - 3z = 14 \\ y = 2 \\ z = \frac{25}{9} - \frac{7}{9} y \\ z = \frac{25}{9} - \frac{7}{9} \times 2 \\ z = \frac{11}{9} \\ x = - 3 \times 2 - 2( \frac{11}{9} ) + 13 \\ x = \frac{41}{9} \\ y = 2 \\ z = \frac{11}{9} [/tex]

Answer:

Probability is the chance of occurrence of an event. The probability that both marbles are drawn by the Cymra are red

Step-by-step explanation:

Answer:

£4 and £6

Step-by-step explanation:

Total = £10

Ratio = 2:3

Total Parts = 2+3 = 5

Divide it by the Total

=> 10/5 = £2

Multiply it by the ratios

1) 2 * 2 = £4

2) 3 *2 = £6

Answer:

4:6

Step-by-step explanation:

2+3=5

10/5=2

3x2= 6

2x2=4

4:6

Answer:

[tex] \frac{2x - 5}{x + 5} [/tex]

Step-by-step explanation:

Firstly, you have to factorize the expressions on the numerator and denorminator :

Numerator :

[tex]2 {x}^{2} - 3x - 5[/tex]

[tex] = 2 {x}^{2} + 2x - 5x - 5[/tex]

[tex] = 2x(x + 1) - 5(x + 1)[/tex]

[tex] = (2x - 5)(x + 1)[/tex]

Denorminator :

[tex] {x}^{2} + 6x + 5[/tex]

[tex] = {x}^{2} + x + 5x + 5[/tex]

[tex] = x(x + 1) + 5(x + 1)[/tex]

[tex] = (x + 1)(x + 5)[/tex]

Next, you have to put the factorized-form in the fraction and cut out the similar expressions :

[tex] \frac{(2x - 5)(x + 1)}{(x + 1)(x + 5)} [/tex]

[tex] = \frac{2x - 5}{x + 5} [/tex]

Answer:

[tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles ΔOMN and ΔOMP are congruent (CPCTC)

Step-by-step explanation:

1) MNOP is a parallelogram: Reason; Given

2) [tex]\overline{PM}\left | \right |\overline{ON}[/tex]: Reason; Definition of a parallelogram

3) ∠MON ≅ ∠PMO: Reason; Alternate Int. ∠s Thm.

4) [tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Definition of a parallelogram

5) ∠NMO ≅ ∠POM: Reason; Alternate Int. ∠s Thm.

6)  [tex]\overline{OM}\cong\overline{OM}[/tex]: Reason; Reflexive property

7) ΔOMN ≅ ΔOMP: Reason; Angle Angle Side (AAS) congruency theorem

8)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Corresponding parts of congruent triangles are congruent (CPCTC).

Also we have;

9)  [tex]\overline{PM}\cong\overline{ON}[/tex]: Reason; Segment opposite congruent angles are congruent

Answer:

w = 17 fts

l = 32 fts

Step-by-step explanation:

P = 2w + 2l

l = 2w - 2

98 = 2w + 2(2w - 2)

98 = 2w + 4w - 4

98 + 4 = 6w

6w = 102

w = 17 fts

l = 2×17 - 2 = 34 - 2 = 32 fts

Answer: The vertex of the function is (-1, -7).

Step-by-step explanation: We are given to find the vertex of the following function.

We know that the vertex of the function is given by (h, k).

So, for the given function f(x), the vertex will be (-1, -7).

The graph of the function f(x) is shown in the attached figure, where the vertex is at the point (-1, -7).

Thus, the vertex of the function is (-1, -7).

The vertex of the function  f(x) = |x + 1| - 7 is (-1,-7)

The function is given as:

f(x) = |x + 1| - 7

The above function is an absolute value function

An absolute value function is represented as:

f(x) = a|x – h| + k

Where, the vertex is (h,k)

So, we have:

(h,k) = (-1,-7)

Hence, the vertex of the function  f(x) = |x + 1| - 7 is (-1,-7)

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Yes they are independent because P(California) = 0.55 approximately and P(California | Brand B) = 0.55 approximately as well

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

Explanation:

P(California) is notation that means "probability the person is from California". There are 150 people from California out of 275 total. Therefore, the probability is 150/275 = 0.5454 approximately which rounds to 0.55

Now if I told you "this person prefers brand B", then you would focus your attention solely on the brand B column. The other columns are ignored because you know they don't prefer anything else. With this narrower view, we see that 54 Californians prefer this brand out of 99 total. The probability becomes 54/99 = 0.5454 which rounds to 0.55. We get the same as before.

The notation P(California | Brand B) means "the probability they are from California given they prefer brand B". The vertical line is not the uppercase letter i or lowercase letter L. It is simply a vertical line. In probability notation that vertical line means "given".

We've shown that P(California | Brand B) = 0.55 approximately. The fact that they prefer brand B does not change the original probability. So the two events are independent. If liking brand B did change the probability, then the events would be dependent.

Answer:

Independent variable = t

Dependent variable = N

Step-by-step explanation:

Given that the function N(t)=100+15t represents the relation between the number of unread emails, N, and the time, t, measured in days

The independent variable is an input which can be controlled. In the function

N(t)=100+15t

The independent variable is t

While the dependent variable is the output of a function when independent variable has been substituted.

In the function N(t)=100+15t

The number of unread messages depends on the number of time t measured in days as the number of unread messages N is a function of t.

Therefore, the independent variable is N.