Helpppp pleaseeee pleaseee please❤️

Answer:

Z=+6

Step-by-step explanation:

Z^5=-7776i

Let's note that i I mathematics means negative one i.e

i = -1

So the equation is equal to

Z^5=-*-(7776)

Z^5 = 7776

Z= 5√7776

Since it's a divisible by 6

It's giving us a clue that 6 it's the answer.

Ok let's check the 5th root of 7776 in our calculator.

Z=+6

+6 is the solution to the equation

Z^5=-7776i

Answer:

⅑

Step-by-step explanation:

Let m represents number of males, and f represents number of females taking the maths course.

Given that number of males (m) taking the maths course is 8 times as much as number of females (f), total number of students taking the maths course (T).

Thus we can represent the information above with the following:

m = no. of males

f = no. of females

T = Total

m = 8f

T = m + f

Thus,

Total = 8f + f = 9f

==>The fraction of the course that are females = No. of females (f) ÷ Total no. of students (T)

= f/9f

Fraction of females in simplified form would be ⅑

Answer:

u^2 +7u -8=0  where u = 3x+2

Step-by-step explanation:

(3x+2)^2 + 7(3x+2) - 8=0

Let 3x+2 = u

u^2 +7u -8=0

Answer:

L= 12170  ft

Step-by-step explanation:

The runaway at the airport has the shape of a rectangle and the area of 2,312,300 ft².  The rectangular runaway is 190 ft wide . The length is what we are asked to find.

area of a rectangle = LW

Where

L = length

W = width

area of a rectangle = LW

area of the rectangular runaway = 2,312,300 ft²

W = 190 ft

L = ?

2,312,300 = L × 190

2,312,300 = 190L

divide both sides by 190

L = 2,312,300/190

L= 12170  ft

Answer:

The slope of the line is: [tex]\frac{-1}{6}[/tex]

The midpoint is located in (1, 8.5)

The distance between the points is 2.236

Step-by-step explanation:

The slope of the line can be calculated by:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8-9}{4+2} = \frac{-1}{6}[/tex]

The midpoint can be calculated by:

[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\\midpoint = (\frac{-2 + 4}{2}, \frac{9 + 8}{2})\\midpoint = (1, 8.5)[/tex]

The distance between two points is:

[tex]distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\distance = \sqrt{(-4+2)^2 + (8 - 9)^2}\\distance = \sqrt{(-2)^2 + (-1)^2}\\distance = \sqrt{4 + 1} = \sqrt{5} = 2.236[/tex]

Answer:

D. 280°

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below.

From the diagram,

arc EAC = arc EAB + arc BC ... (1)

Note that arc EAB is the angle on the straight line EB and since sum of angle on a straight line is 180°, arc EAB = 180°

Next is to get the arc BC. It can be seen from the diagram that arc BC + arc CD + arc DE = 180°

Given arc CD = 25°, arc DE = arc AB = 55° (since the diameter AD and BE are the same). On substituting this values we will have:

arc BC + 25°+55° = 180°

arc BC = 180° - 80°

arc BC = 100°

Remember from initial equation 1 that arc EAC = arc EAB + arc BC

arc EAC = 180°+100°

arc EAC = 280°

The measure of EAC is therefore 280°

Answer:

280

Step-by-step explanation:

AB is a vertical angle of ED. This means that they are congruent.

ED + CD = ?

55 + 25 = 80

360 - 80 = 280

Answer:

a rational number

Step-by-step explanation:

a rational number + a rational number will always be a rational number.

Answer:

  a) h(t) = -16t^2 +41t +37

  b) see attached (3.270 seconds)

  c) (41+√4049)/32 seconds

  d) 1.28125 seconds; 63.265625 feet

  e) [1.5, 2]: -15; [2, 2.5]: -31; [2.5, 3]: -47

Step-by-step explanation:

a) The formula and initial values are given. Putting those values into the formula, we get ...

  h(t) = -16t^2 +41t +37

__

b) The graph is attached. It shows the t-intercept to be about 3.270 seconds.

__

c) Using the quadratic formula, we can find the landing time as ...

  [tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-41\pm\sqrt{41^2-4(-16)(37)}}{2(-16)}\\\\=\dfrac{41\pm\sqrt{4049}}{32}\qquad\text{only $t>0$ is useful}[/tex]

The exact landing time is (41+√4049)/32 seconds.

__

d) The highest point is at t=-b/(2a) = -41/(2(-16)) = 41/32 seconds.

The value of the function at that point is ...

  h(41/32) = (-16(41/32) +41)(41/32) +37 = 41^2/64 +37 = 4049/64

The maximum height is 4049/64 = 63.265625 feet.

__

e) For a quadratic function, that average rate of change on an interval is the derivative at the midpoint of the interval. Here, the derivative is ...

  h'(t) = -32t +41 . . . in feet per second

Then the average rates of change are ...

  arc[1.5, 2] = h'(1.75) = -32·1.75 +41 = -15 ft/s

  arc[2, 2.5] = h'(2.25) = -32(2.25) +41 = -31 ft/s

  arc[2.5, 3] = h'(2.75) = -32(2.75) +41 = -47 ft/s

These are the average velocity of the water balloon over the given interval(s) in ft/s. Negative indicates downward.

Answer:

(a) h(t) = -16t² + 41t + 37

(b) About 3.3 s

[tex]\large \boxed{\text{(c) }\dfrac{41+ \sqrt{4049}}{32}\text{ s}}[/tex]

(d) -15 ft/s; -31 ft/s; -47 ft/s

Step-by-step explanation:

(a) The function

h(t) = -16t² + v₀t + s₀

 v₀ = 41 ft·s⁻¹

 s₀ = 37 ft

The function is

h(t) = -16t² + 41t + 37

(b) The graph

See Fig. 1.

It looks like the water balloon lands after about 3.3 s.

(c) Time of landing

h = -16t² + 41t + 37

a = -16; b = 41; c = 37

We can use the quadratic formula to solve the equation:

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

(i) Evaluate the discriminant D

D = b² - 4ac = 41² - 4(-16) × 37 = 1681 + 2368  = 4049

(ii) Solve for t

[tex]\begin{array}{rcl}h& = & \dfrac{-b\pm\sqrt{D}}{2a}\\\\ & = & \dfrac{-41\pm\sqrt{4049}}{2(-16)}\\\\ & = & \dfrac{41\pm\sqrt{4049}}{32}\\\\t = \dfrac{41- \sqrt{4049}}{32}&\qquad& t = \dfrac{41+ \sqrt{4049}}{32}\\\\\end{array}\\[/tex]

[tex]\text{The water balloon will land after $\large \boxed{\mathbf{\dfrac{41+ \sqrt{4049}}{32}}\textbf{ s}} $}[/tex]

(d) Time and maximum height

(i) Time

The axis of symmetry (time of maximum height) is at t = -b/(2a)

[tex]t = \dfrac{-41}{2(-16)} = \dfrac{41}{32} = \textbf{1.281 s}[/tex]

(ii) Maximum height

The vertex is at y = h(1.281) = h(t) = -16(1.281)² + 41(1.281) + 37  = 63.27 ft

(e) Average rate of change

(i) Arc{1.5,2}

h(1.5) = 62.5

  h(2) = 55

m = (h₂ - h₁)/(t₂ - t₁) = (55 - 62.5)/(2 - 1.5) = -7.5/0.5 = -15 ft/s

The water balloon has started to fall after it has reached peak height, so it is not going very fast

(ii) Arc{2,2.5}

h(2.5) =39.5

m = (39.5 - 55)/(2 - 1.5) = -15.5/0.5 = -31 ft/s

The balloon is in mid-fall, so gravity has caused it to speed up.

(iii) Arc{2.5,3}

h(3) = 16

m = (16 - 39.5)/(2 - 1.5) = -23.5/0.5 = -47 ft/s

The balloon is about to hit the ground, so it is falling at almost its maximum velocity.

Fig. 2 shows the height of the balloon at the above times.

Answer:

19) x=-3, 20) a=1, 21) b=3, 22) x=8

Step-by-step explanation:

hope that helps, those are the answeres to each question. :)))

Answer:

Step-by-step explanation:

Answer:

I think that the required options are wrong.

Answer is given below with explanations.

mZCBD = 41 degrees

Step-by-step explanation:

[tex]from \: the \: \: above \: mentioned \: diagram \\ we \: can \: say \: that \: \\( angle \: ABD) + (angle \: DBC) = 68 \\ given \: that \: \: angle \: ABD = 2x + 5 \\ and \: \: angle \: CBD = 3x + 8 \\ on \: substituting \: the \: values \\ (2x + 5) + (3x + 8) = 68 \\ 5x + 13 = 68 \\ 5x = 68 - 13 \\ 5x = 55 \\ x = \frac{55}{5} \\ x = 11 \\ angle \: CBD = 3x + 8 \\ \: \: = 3(11) + 8 \\ \: \: = 33 + 8 \\ \: \: angle \: CBD= 41[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

its a on edge

Step-by-step explanation:

Answer:

-8/3

Step-by-step explanation:

To solve for x-intercept, we set y as 0.

0 = 3x + 8

-8 = 3x

-8/3 = x

The x-intercept of the line is -8/3.

Answer:

Brainliest!!!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The angle between the vertical and horizontal line is 90°, thus

75° + x = 90° ( subtract 75 from both sides )

x = 15° → D

Answer:

5n and -5n cancel so we're left with -mp + pn which can be factored to p(-m + n).

Answer:

it's answer is

125+25+5+1

Answer:x=7/5 or 1 2/5

Step-by-step explanation:

x + 3/5=2

Step 1: Subtract 3/5 from both sides.

X+3/5-3/5=2-3/5

X=7/5

Answer:

7/5 or 1 2/5

Step-by-step explanation:

[tex]x+\dfrac{3}{5}=2 \\\\\\x=2-\dfrac{3}{5} \\\\\\x=\dfrac{10}{5}-\dfrac{3}{5} \\\\\\x=\dfrac{7}{5}= 1\dfrac{2}{5}[/tex]

Hope this helps!

Answer:

53 cupcakes

Step-by-step explanation:

Take the amount of frosting and divide by the amount needed per cupcake

431/8

53.875

We round down since we cannot frost part of a cupcake

53 cupcakes

Answer:

53 cupcakes

Step-by-step explanation:

He has a total of 431 ounces and each cupcake needs 8 ounces of frosting. Therefore can divide the total amount of frosting (431 ounces) by the amount per cupcake (8 ounces)

total amount/ amount per cupcake

431 ounces/8 ounces

431/8

53.875

0.875, or a fraction/part of a cupcake can’t be frosted, so we should round down to the nearest whole number.

53

He can frost 53 cupcakes.

Answer:

  y = -1/3x +3

Step-by-step explanation:

When given a point and slope, it is convenient to start with a point-slope form of the equation of a line.

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

  y = (-1/3)(x -3) +2 . . . line with slope -1/3 through point (3, 2)

  y = -1/3x +3 . . . . . . . simplified to slope-intercept form

Answer:

c=13/14

Step-by-step explanation:

150/11=13 R7

14 because she still needs $7

or 13 because she can work 2hrs walking dogs

Answer:6d+11c_>150

Step-by-step explanation:

Step-by-step explanation:

Overtime rate= r+50%= 1.5r

Regular hours= 800/r

Overtime hours= 240/1.5r

Total hours worked

Answer:

7

Step-by-step explanation:

We want to evaluate the fraction below for x = 3. We will put the value of x to be 3:

[tex]\dfrac{7^2}{x^2-2}\\\\= \dfrac{7^2}{3^2-2}\\\\= \dfrac{49}{9-2}\\\\= \dfrac{49}{7} = 7[/tex]

The answer is 7.

Answer:

Step-by-step explanation:

goodluck khan academy users

Answer:

a = -3

Step-by-step explanation:

5^a = 1/125

The fraction 1/125 can be written as a power with base 5.

5^a = 5^(-3)

Cancel the same bases on both sides.

a = -3

Answer:

a = -3.

Step-by-step explanation:

5^a = 1/125

1/125 = 1 / 5^3

= 5^-3

5^a = 5^-3

so a = -3.

Answer:

yes

Step-by-step explanation:

a parallelogram has no right angles yet the sides are parallel

Answer:

the answer is C

Step-by-step explanation:

from the graph , u can find out the roots that is 3 and 6. so when u factorize the equation in C, u will get the same roots as in the graph

secx=1/cosx

1. To solve this problem you must apply the following proccedure:

2. You have to verify if secx sinx=tanx, so, you have:

3. You know that secx=1/cosx, and tanx=sinx/cosx, therefore:

(secx)(sinx)

(1/cosx)(sinx)

sinx/cosx

tanx

Answer:

The answer is B. on edge

Step-by-step explanation:

[tex]AB=8.391[/tex]

[tex]AC=13.05407[/tex]

Answer:

AB =8.4

AC = 13.1

Step-by-step explanation:

Use SOH CAH TOA, which means Sin= Opposite/Hypotenuse, Cosine= Adjacent/Hypotenuse, and Tangent= Opposite/Hypotenuse.

AB is the opposite compared to the angle, BC is the adjacent compared to the angle, and AC is the hypotenuse.

Write down what you know in the formulas:

theta = 40 degrees

BC = adjacent = 10

Plug them in to solve what you need:

AB is opposite, so use the tangent equation:

tangent (40 degrees) = AB / 10

AB =8.4

AC is the hypotenuse, so use the cosine equation:

cosine (40 degrees) = 10 / AC

AC = 13.1

Answer:

11 is the answer

Step-by-step explanation: i hope so cuz my calculations gives this answer

Answer:

11

Step-by-step explanation:

g(x) = 2x + 7

Put x as 2 and evaluate.

g(2) = 2(2) + 7

Multiply.

g(2) = 4 + 7

Add the terms.

g(2) = 11

Answer:

x= 42

Step-by-step explanation:

(2x +1)°= 85° (vert. opp. ∠s)

2x +1= 85

2x= 85 -1 (bring constant to 1 side)

2x= 84 (simplify)

x= 84 ÷2

x= 42