Solve the equation for z.
—8=—3/2 z

Answers

Answer 1

Answer:

           [tex]\bold{z=-5\frac13}[/tex]

Step-by-step explanation:

[tex]-8=-\frac32z[/tex]         {swap sides}

[tex]-\frac32z=-8[/tex]         {divide both sides by (-³/₂)}

[tex]z=-8\div(-\frac32)\\\\z=-8\times(-\frac23)\\\\z=-\frac{16}3=-5\frac13[/tex]


Related Questions

If you were to roll the dice one time what is the
probability it will NOT land on a 3?

Answers

Answer:

5/6

Step-by-step explanation:

Yassar has purchased a $30,000 car for his business. The car depreciates at 30%
every year. {Depreciation means the value of the car decreases by that percent each
year).Calculate the value of the car to the nearest cent at the end of the 5th
year.
A. $5,042.10
B. $111.387.90
C. $21.000.00
D. $39,346.85

Answers

Answer:

A

Step-by-step explanation:

30% of 30000 is 9000, 30000-9000=21000 (1 year)

30% of 21000 is 6300, 21000-6300=14700 (2 years)

30% of 14700 is 4410, 14700-4410= 10290 (3 years)

30% of 10290 is 3087, 10290-3097= 7203 (4 years)

30% of 7203 is 2160.9, 7203-2160.9= 5042.1 (5 years)

Find the value of x.

Answers

Answer:

Step-by-step explanation:

Remark

Since the chords of the circle are equal and non intersecting, The 2 bisecting perpendiculars are going to be equal.

Equation

5x = 7x - 8           Subtract 7x from both sides

5x - 7x = - 8

-2x = - 8              Divide by - 2

x = - 8/-2

x = 5

You have a balance of $4,600 on your credit card. The interest rate is 12% (1% per month). The late payment fee is $40.
You miss a payment. What are your fees plus interest for the month?

Answers

Answer:

$86

Step-by-step explanation:

first you gotta find the interest

4,600 * 1% = 46

so the interest is $46

then you add the interest and late fees together to get the payment for the month

46 + 40 = $86

your total cost is $86

The fess plus interest of the month will be $86 after missing a payment.

Given:

Balance  = $4600

Interest rate = 0.01

Step 1: Calculate the interest for the month.

Interest for the month = Balance × Monthly Interest Rate

Substituting the value back to the formula

Interest for the month= $4,600 × 0.01

                                      = $46

Step 2: Add the late payment fee.

Late payment fee = $40

Step 3: Total fees plus interest for the month.

Total = Interest for the month + Late payment fee

Total = $46 + $40

Total = $86

So, fees plus interest for the month when you miss a payment amount to $86.

Learn more about interest here:

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The top of a ramp is 4 feet above the ground. The ramp makes a 21.3 degree angle with the ground. What is the length of the ramp

Answers

Answer:

Total ramp system length in feet: Includes the minimum number of 5′ x 5′ resting platforms and the 5′ x 5′ platform at the top of the ramp.

Step-by-step explanation:

hope this helps!

what does 9a^2 + 2b^2 if a=4 and b=7?

Answers

Answer:

242

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Given

9a² + 2b² ← substitute a = 4 and b = 7

= 9(4)² + 2(7)²

= 9(16) + 2(49)

= 144 + 98

= 242

8. (03.04 MC)
What is the first step needed to solve
(4)x+6=–13 ?

A. Subtract 13 from both sides

B. Divide both sides by 7

C. Add 5 to both sides

D. Multiply both sides by 4

Answers

Answer:

its a

Step-by-step explanation:

i did it

Answer:

A

Step-by-step explanation:

If I live in the United States and I send 100 dollars to someone who lives in Mexico, how much are 100 dollars in Mexican money

I'm conscious

Answers

Answer:

2935 Mexican pesos

Step-by-step explanation:

First, it's worth noting that at current exchange rates, your $100 will equal upwards of 2,395 pesos in Mexico.

HELP DUE IN 10 MINS! Kayla decided to try parasailing. She was strapped into a parachute towed by a boat. An 800 foot line connected her parachute to the boat, which was at a 32 degree angle of depression below her. How high above the water was Kayla? Round to the nearest foot.

feet=??

Answers

Answer:

424 ft

Step-by-step explanation:

Answer:

424 feet is the answer rrrr

this is pretty easy but I don't have the brainpower to do it

Answers

Answer:

Step-by-step explanation:

Help me with this pls 10 points

Answers

Answer:

48

Step-by-step explanation:

Add 84+48 to get 132. subtract 180 the total to the 132 to get 48.

Answer:

its not 10 points its says 8

Step-by-step explanation:

Can someone do both plzzzz

Answers

Answer:

Answer to question 7: -2x+5y+9

Answer to question 8: 2x-6y+1

Answer:

7.) -2x + 5y + 9 ; 8.) 2x - 6y + 1

Step-by-step explanation:

7.)

7 + 2x + 5y - 4x + 2 ⇒ -2x + 5y + 9

2x - 4x ⇒ -2x

5y ⇒ 5y

7 + 2 ⇒ 9

8.)

-4y + 2x - 2y + 1 ⇒ 2x - 6y + 1

2x ⇒ 2x

-4y - 2y ⇒ -6y

1 ⇒ 1

PLEASE HELP MEEEEE!!!!!

Answers

Answer:

Tan ∠E = 63/16 = 3.9375

Step-by-step explanation:

Tan ∠E = 63/16 = 3.9375

Answer:

Try 63/16 which is 4.0625

Step-by-step explanation:

Again im sorry if its incorrect. XD hope it helps tho. doing the rest o ur question noe .. tehe

Find the derivative of (3+tan X )( 4+3 Cos X)

Answers

answer: -9sinx + 3cosx + 4sec^2x

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

In this question we shall use the following derivative rules:

Derivative of a sum of functions

[tex]\frac{d}{dt}(f(t) + g(t)) = \frac{df(t)}{dt} + \frac{dg(t)}{dt}[/tex] (1)

Derivative of a product of functions

[tex]\frac{d}{dt}(f(t)\cdot g(t)) = \frac{df(t)}{dt}\cdot g(t) + f(t)\cdot \frac{dg(t)}{dt}[/tex] (2)

Derivative of a constant

[tex]\frac{d}{dt}(k) = 0[/tex], [tex]\forall k \in \mathbb{R}[/tex] (3)

Derivative of a function multiplied by a constant

[tex]\frac{d}{dt}(c\cdot f(t)) = c\cdot \frac{df(t)}{dt}[/tex], [tex]\forall\, c\in \mathbb{R}[/tex] (4)

Derivative of the cosine function

[tex]\frac{d}{dt} \cos t = -\sin t[/tex] (5)

Derivative of the tangent function

[tex]\frac{d}{dt}\tan t = \sec^{2} t[/tex] (6)

Chain rule

[tex]\frac{d}{dt}f[u(t)] = \frac{df(u)}{du}\cdot \frac{du(t)}{dt}[/tex] (7)

Let be [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex], then the derivative of [tex]f(x)[/tex] is:

[tex]f'(x) = \sec^{2}x\cdot (4 + 3\cdot \cos x) + (3+\tan x)\cdot (-3\cdot \sin x)[/tex]

[tex]f'(x) = 4\cdot \sec^{2}x+3\cdot \sec x -9\cdot \sin x -3\cdot \sin x\cdot \tan x[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x}{\cos^{2}x} -\frac{9\cdot \sin x \cdot \cos x+3\cdot \sin^{2}x}{\cos x}[/tex]

[tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex]

The derivative of [tex]f(x) = (3 + \tan x)\cdot (4 + 3\cdot \cos x)[/tex] is [tex]f'(x) = \frac{4+3\cdot \cos x-9\cdot \sin x \cdot \cos^{2}x+3\cdot \sin^{2}x\cdot \cos x}{\cos^{2}x}[/tex].

We kindly invite to check this question on derivatives: https://brainly.com/question/21202620

Find the centroid of ABC if
A = (2, 2), B = (-1,0), and C = (8,4).
([?], [ ])

Answers

Answer:

The centroid of ABC is (3 , 2).

Step-by-step explanation:

The steps are :

[tex]centre = ( \frac{x1 + x2 + x3}{3} \: , \: \frac{y1 + y2 + y3}{3} )[/tex]

[tex]centre = ( \frac{2 + ( - 1) + 8}{3} \: , \: \frac{2 + 0 + 4}{3} )[/tex]

[tex]centre = ( \frac{9}{3} \: , \: \frac{6}{3} )[/tex]

[tex]centre = (3 \: , \: 2)[/tex]

Answer:

The centroid of ∆ABC is (3 , 2).

Step-by-step explanation:

Solution :

Here's the required formula to find the centroid of ∆ABC :

[tex]{\star{\footnotesize{\purple{\underline{ \boxed{\sf{\pink{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}}}}}[/tex]

Where :

[tex]\rightarrow\rm{x_1}[/tex] = 2[tex]\rightarrow\rm{x_2}[/tex] = -1[tex]\rightarrow\rm{x_3}[/tex] = 8[tex]\rightarrow\rm{y_1}[/tex] = 2[tex]\rightarrow\rm{y_2}[/tex] = 0[tex]\rightarrow\rm{y_3}[/tex] = 4

Substituting all the given values in the formula to find the centroid of ∆ABC

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 + ( - 1) + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 - 1 + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{10 - 1}{3} \: , \: \dfrac{2 + 4}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{9}{3} \: , \: \dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \bigg( \cancel\dfrac{9}{3} \: , \: \cancel\dfrac{6}{3} \bigg)}}}}[/tex]

[tex]{\implies{\small{\sf{Centroid = \Big( 3\: , \: 2 \Big)}}}}[/tex]

[tex]\star{\underline{\boxed{\rm{\red{Centroid = \Big( 3\: , \: 2 \Big)}}}}}[/tex]

Hence, the centroid of ∆ABC is (3 , 2).

[tex]\rule{300}{1.5}[/tex]

PLEASE HELP ASAP I HAVE 10 MINUTES ​

Answers

Answer:

4, -3

Step-by-step explanation:

I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

-64

Step-by-step explanation:

Write the equation in slope intercept form

Answers

the answer is y=-4/5x+3

USING THE GRAPH DETERMINE THE COORDINATES OF THE X INTERCEPT OF THE PARABLOA​

Answers

Answer: this parabola has 2 x intercepts witch are -4,0 and -8,0

Step-by-step explanation: an x intercept is when y is 0

What is the area of the shaded region?

Answers

Answer:

15x^2-24x+9

Step-by-step explanation:

80% or 7/9 which is greater

Answers

Answer:

80% is greater

Step-by-step explanation:

Answer:

The number 80% is greater than 7/9

Step-by-step explanation:

please help!! I suck at this :(

Answers

Answer:

41/50

Step-by-step explanation:

82% = 0.82 = 82/100

82/100 reduced is 41/50

A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is the
probability that it will land on yellow all 3 times?

Answers

Answer:

33.3%

Step-by-step explanation:

100 divided by 3 is 33.3

Simplify (3x + 2)(4x - 7). Write your answer in standard form.

Answers

Answer:

noninvasive I will not pay any fee in full and the other fees for my undergraduate degree

I need help with this.

Answers

Answer:

h

Step-by-step explanation

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

Answer:

H. 162.56 cm

Step-by-step explanation:

12 inches in 1 foot.

2.54 cm in 1 inch.

5x 12=60 inches

60 +4=64inches.

64 x 2.54=162.56 cm

In the year 2000, the number of bunnies in a certain forest was 320. Since that year the number of bunnies in that forest has increased at a rate of 16% per year. Write a function, f(x), that models the number of bunnies x year after the year 2000.

Answers

Answer:

f(x)=320(1.16)^x

Step-by-step explanation:

This is an exponential equation with an initial population at x=0 of 320 (because 1.16^0=1, and 320*1=320) After the first year, there are 371 bunnies. After two years, there are 431, etc etc.

Answer:

f(x)=320(1.16)^x

This is an exponential equation with an initial population at x=0 of 320 (because 1.16^0=1, and 320*1=320) After the first year, there are 371 bunnies. After two years, there are 431, etc etc.

Please help me find the area of this triangle!

Answers

Answer:

150

Step-by-step explanation:

1/2 multiply base times hieght

Answer:

150

Step-by-step explanation:

given in the pic above

in the pic its 15×10

i have written mistakely 15×12

Calculate the pressure
300 Newtons ÷ 5 meters² ​

Answers

Answer:

60 pascals

Step-by-step explanation:

Answer:

60

Hope it helps

Please mark me as the brainliest

Thank you

Match each shape (if possibles, and one at a time) using a translation of the original shape using a coordinate rule.

Answers

You multiply the sides and get the answer

For the red figure: Translate 1 unit down then 3 units left, and for the blue figure: Reflect the figure at the y-axis.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The figures are given in the picture:

For the red figure: Translate 1 unit down then 3 units left.

For the yellow figure: translate 5 units down and then 2 units right

For the blue figure: Reflect the figure at the y-axis.

Thus, for the red figure: Translate 1 unit down then 3 units left, and for the blue figure: Reflect the figure at the y-axis.

Learn more about the geometric transformation here:

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Help plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

B

Step-by-step explanation:

Y is the total cost, 22x is how many tickets bought, and 10 is the parking cost

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To drag a man in fetters into the grand illuminated temple of liberty, and call upon him to join you in joyous anthems, were inhuman mockery and sacrilegious irony. Do you mean, citizens, to mock me, by asking me to speak to-day? ...Fellow-citizens, above your national, tumultuous joy, I hear the mournful wail of millions, whose chains, heavy and grievous yesterday, are to-day rendered more intolerable by the jubilant shouts that reach them. If I do forget, if I do not faithfully remember those bleeding children of sorrow this day, "may my right hand forget her cunning, and may my tongue cleave to the roof of my mouth!" To forget them, to pass lightly over their wrongs, and to chime in with the popular theme, would be treason most scandalous and shocking, and would make me a reproach before God and the world. My subject, then, fellow-citizens, is AMERICAN SLAVERY. I shall see this day and its popular characteristics from the slave's point of view. 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