7. The function ƒ(x) = sqrt x is reflected across the x-axis and vertically stretched by a factor of 2. Select the correct graph for the resulting function.

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: 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:

-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.

Learn more about Quadratic Equations here :

https://brainly.com/question/9300679

#SPJ7

Answer:

words per minute!

Step-by-step explanation:

Answer:

0.0000047

Step-by-step explanation:

Simply move the decimal place 6 places to the left while filling in the zeros.

Answer:

Brainliest!

Step-by-step explanation:

100% sugar syrup = 75/30 x 100 = 250

[tex]answer \\ = 5 \sqrt{17} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

24.3 units (3 s.f.)

Step-by-step explanation:

Since a square has 4 equal sides,

perimeter of ABCD= 4(length of AB)

Distance between 2 points

=[tex] \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Length of AB

[tex] = \sqrt{( { - 2 - 4)}^{2} + {(2 - 3)}^{2} } \\ = \sqrt{( - 6)^{2} + ( - 1)^{2} } \\ = \sqrt{37} [/tex]

perimeter of ABCD

[tex] = 4 \sqrt{37} \\ = 24.3 \: units \: (3 \: s.f.)[/tex]

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:

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:

Option B is the correct answer.

Step-by-step explanation:

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

List of prime numbers: 2,3,5,7,11

Both C and D equal 2 which is a prime number.

The answers are C and D

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:

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:

Comprimento: 28.9 m; Largura: 11.1 m

Step-by-step explanation:

P = 2(C + L) = 80

A = CL = 320

2(C + L) = 80

CL = 320

C + L = 40

CL = 320

C = 40 - L

CL = 320

(40 - L)L = 320

40L - L^2 = 320

L^2 - 40L + 320 = 0

aL^2 + bL + c = 0

[tex] L = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] L = \dfrac{-(40) \pm \sqrt{(-40)^2 - 4(1)(320)}}{2(1)} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{1600 - 1280}}{2} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{320}}{2} [/tex]

[tex] L = \dfrac{40 \pm \sqrt{64 \times 5}}{2} [/tex]

[tex] L = \dfrac{40 \pm 8\sqrt{5}}{2} [/tex]

[tex] L = 20 \pm 4\sqrt{5} [/tex]

[tex] L \approx 28.9 [/tex] or [tex] L \approx 11.1 [/tex]

L = 28.9

C = 40 - L = 40 - 28.9 = 11.1

Answer: Comprimento: 28.9 m; Largura: 11.1 m

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:

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:

4√ y

.......................

Answer:

the desired equation is  y = (-5/6)x - 7

Step-by-step explanation:

Going from (-6, -2) to (0, -7), we see that x (the "run") increases by 6 and y (the "rise" decreases by 5.  Thus, the slope is m = rise / run = -5/6.

The slope-intercept equation y = mx + b becomes -7 = (-5/6)(0) = b, and so

b = -7.  

Thus, the desired equation is y = (-5/6)x - 7.

Check this by letting x = -6 and y = -2:  Is the resulting equation true?

-2 = (-5/6)(-6) - 7

-2 = 5 - 7          Yes, this is true and so we have verified that the desired equation is  y = (-5/6)x - 7

Answer:

c

Step-by-step explanation:

Khan academy

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:

£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]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:

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:

5÷9

Step-by-step explanation:

5/9 is a fraction where the numerator is divided by the denominator

5 divide by 9

5÷9

Answer:

5

Step-by-step explanation:

5/9 = .55555555555

.55555555555 x 9 = 5

to check the work, just do 5 divided by nine :)

Answer:

-21/10

Step-by-step explanation:

-2/5 - 4/5 + (-9/10) = -6/5 -9/10 = -12/10 -9/10 = -21/10

Answer:

-21/10

Step-by-step explanation:

Plug in 4/5 for x and simplify.

-2/5 - 4/5 + (-9/10)

-6/5 + (-9/10)

-21/10 or -2 1/10

I hope this helps :))

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:

1/1000 for the 1st

1/100 for the 2nd

Step-by-step explanation:

0.1% is 0.001, which is 1/1000

1% is 0.01, which is 1/100

Answer:

0.1% = 10    1%=1/100

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:

<b = 23°

Step-by-step explanation:

<a and <b are complementary so they add up to 90

<a + <b = 90

Where <a = 67

67 + <b = 90

<b = 90 - 67

<b = 23°

Answer:

∠b=23°

Step-by-step explanation:

∠a+∠b=90°

67°+∠b=90°

Subtract 67° from both sides

∠b=23°