What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75

Answers

Answer 1

Answer:

D; b = -20.75

Step-by-step explanation:

Here in this question, we want to find solution to the given linear equation.

The linear equation is;

-83 = b4

Now, to find the value of b, we will need to divide both sides by its coefficient.

Looking at the question, the coefficient of b is 4

Mathematically, that would be :

-83/4 = b4/4

b = -83/4

b = -20.75

Answer 2

Answer:

b = -20.75

Step-by-step explanation:

Given:

-83 = b4

It can also be written as

-83 = 4b

divide both sides by the coefficient of b which is 4

-83 / 4 = 4b / 4

-20.75 = b

Therefore,

b = -20.75

Check:

-83 = b4

-83 = -20.75(4)

-83 = -83


Related Questions

Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?

Answers

To get the area simply multiply the length by the width.

(3x^2+5x+10)(x^2-3x-1) = 3x^4 - 4x^3 - 8x^2 - 35x - 10

Answer:

the answer is A

Step-by-step explanation:

got it right on edge

Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?

Answers

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁)  = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the  maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

Answer:

D: 6

Step-by-step explanation:

I got it right on the test Edge nuity

a quarter of the sum of a number and 87 pls help me¡¡¡

Answers

Answer:

(x + 87)/4

Step-by-step explanation:

"a quarter" = 0.25 by numerical value.

"the sum of a number (x) and 87" = x + 87

Combine the two terms:

"the sum of a number (x) and 87" + "a quarter of the sum..." = (x + 87) * 0.25 = (x + 87)/4

(x + 87)/4 is your answer.

~

land and sea corporation has just purchased some shoreline property, and according to their calculations it will cost 2.5 times as much to develop the land as much as it did to buy it. If land and sea believe it will end up spending a combined total of $13,457,500 on both the land and its developments, how much must be the land alone have cost?

Answers

Answer:

5,383,000  / *improvments cost 8,074,500

Step-by-step explanation:

if 2.5 is by 'times' then,

13,457,500 / 2.5 =

5,383,000

Which means the cost of the land is 5,383,000

To check just multiply:

5,383,000 x 2.5 = 13,457,500

*Extra

13,457,500 - 5,383,000

= the cost of improvements =  8,074,500

Hope this helps, and have a good day :)

Answer:

$3,845,000

Step-by-step explanation:

Land cost = lDevelopment cost = dTotal cost = $13,457,500

As per given:

d= 2.5 l

Then total is:

l+2.5l= 134575003.5l= 13457500l= 13457500/3.5l= $3845000

Cost of the land alone is  $3,845,000

there 5 panakes in a stack.Elise make 40 pankcankes. How many stacks does Elise make?

Answers

Answer:

There are 8 stacks

Step-by-step explanation:

Take the number of pancakes and divide by the number in a stack to determine the number of stacks

40/5 = 8

There are 8 stacks

PLZZZ help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answers

Answer:

[tex]A_s = 36\pi - 72[/tex]

Step-by-step explanation:

[tex]A_{shaded} = \frac{A_{circle}}{4} - A_{triangle}\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = \frac{b * h}{2} \\\\A_t = \frac{12 * 12}{2} \\\\A_t = 72\\\\\\A_s = \frac{144\pi }{4} - 72\\A_s = 36\pi - 72[/tex]

A plane set off to Paris at a speed of 300mph. On the return flight of 12 hours, the plane cruised at 242mph. How many hours long was the flight to Paris

Answers

Answer:well the answer is 2 hours 16 minutes.

Step-by-step explanation:

To find your plane's rate of speed, you calculate the distance ... amount of time in the air (2 hours and 16 minutes) to.

the sum of two integers is 116. if one of them is -79 find the other integers

Answers

Answer:

195

Step-by-step explanation:

So -79 + x = 116

then x = 116 + 79 = 195

Answer:

The sum of two consecutive integers will always be an odd number.

Step-by-step explanation:

-79 + x = 116

x = 116 + 79 = 195

195 is the answer

(IF THE ANSWER IS HELPFUL)

*PLEASE MARK ME BRAINIEST*

Thank you, have a nice day

Hugh works in a Fish Packing Plant at Rocky Bay in British Columbia. He work 30 hours per week, 40 weeks a year, and earns $12.08 per hour. Find his weekly gross salary. Find his weekly net pay (deduct Federal, Provincial Income tax, CPP, EI Premiums).Calculate his yearly net pay and Calculate the percent of his gross income that is deducted each year.

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Weekly gross salary is the product of the number of hours worked per week and earnings per hour. It is given as:

Weekly gross salary = number of hours worked per week × earnings per hour = 30 hrs / week × $12.08/hr = $362.4

b) Using claim code 2 for the weekly gross salary, Federal tax = $16.05, CPP = $14.61, provisional income tax = $0.6 and EI = $6.27

Total deductions = $16.05 + $14.61 + $0.6 + $6.27 = $37.53

Weekly net pay = Weekly gross salary - Total deductions = $362.4 - $37.53 = $324.87

c) Yearly net pay = weekly net pay × number of weeks in a year = $324.87 × 52 = $16893.24

d) percent of his gross income deducted yearly = weekly deductions / weekly gross income × 100% = 37.53 / 362.4 × 100% = 10.4%

Find x

A. 33
B. 44√3
C. 33√2
D. 11√3

Answers

Answer:

d

Step-by-step explanation:answer is d on edg

Select the correct answer from the drop-down menu. There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .

Answers

Answer: The correct answer is no solution.

The required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

Let the two unknown numbers be x and y;

The smaller number is x

The larger number is y

If one number is twice the other number, hence;

y = 2x ................. 1

Also, if the difference of the smaller number and half the larger number is 20, then:

x - y/2 = 20 .................. 2

Substitute the equation 1 into 2 to have:

x - (2x/2) = 20

x - x = 20

Hence the required equation created to find the smaller number will be expressed as x - y/2 = 20 where x is the smaller number.

Learn more here; https://brainly.com/question/13805464

What the answer now

Answers

Answer:

35.6 yd²

Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21°  => sum of triangle

v = ??

Plug in the values and solve for v

[tex] \frac{v}{sin(21)} = \frac{19}{sin(137)} [/tex]

Multiply both sides by sin(21)

[tex] \frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21) [/tex]

[tex] v = \frac{19*sin(21)}{sin(137)} [/tex]

[tex] v = 10 yd [/tex] (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

= ½*10*19*sin(22)

Area = 35.6 yd² (to nearest tenth)

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Answers

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

[tex]2^x=1-3^x[/tex]

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

[tex]2^{-0.75}=1-3^{-0.75}[/tex]

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

[tex]2^{-1.25}=1-3^{-1.25}[/tex]

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

[tex]2^{0.75}=1-3^{0.75}[/tex]

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

[tex]2^{1.25}=1-3^{1.25}[/tex]

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

30 times the square of a nonzero number is equal to eight times the number what is the number

Answers

Answer: 4/15

Step-by-step explanation:

Answer:

[tex]\frac{4}{15}[/tex]

Step-by-step explanation:

Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]

You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8

Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]

Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:

[tex]\frac{8}{30} = \frac{4}{15}[/tex].

Therefore, the number is [tex]\frac{4}{15}[/tex].

Question 2 Multiple Choice Worth 5 points)
(03.01 LC)
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
O2 units
0 6 units
O V12 units
O V20 units

Answers

Answer:

√20 units.

Step-by-step explanation:

Please see attached photo for diagram.

The other leg of the triangle is x as shown in the attached photo.

Using the pythagoras theory, we can obtain the the value of x as follow:

x² = 4² + 2²

x² = 16 + 4

x² = 20

Take the square root of both side.

x = √20 units

Therefore, the value of the other leg x of the triangle is √20 units

Answer:

[tex]\sqrt{} 20[/tex] is your answer hope this helps

Step-by-step explanation:

Solve (s)(-3st)(-1/3)

Answers

Answer:

Step-by-step explanation



Find the distance between the points J( – 8,0) and K(1, 4).
The exact distance between the two points is

Answers

Answer:

The answer is

[tex] \sqrt{97} \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

J( – 8,0) and K(1, 4)

The distance between them is

[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]

We have the final answer as

[tex] \sqrt{97} \: \: \: units[/tex]

Hope this helps you

Use the figure shown. Find the slope of the line.
у
4
3
C(-2,2)
B(-4, 2)
2
1
A(-2, 1)
-7-6-5-4-3-2
OY
X
The slope is

Answers

Answer:

The slope is [tex] -\frac{1}{2} [/tex]

Step-by-step explanation:

With points A(-2, 1), and B(-4, 2), slope (m) of the line can be calculated using the formula [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex],

Where,

[tex] y_2 = 2 [/tex]

[tex] y_1 = 1 [/tex]

[tex] x_2 = -4 [/tex]

[tex] x_1 = -2 [/tex]

Plug in the values into the slope formula:

[tex] m = \frac{2 - 1}{-4 -(-2)} [/tex]

[tex] m = \frac{2 - 1}{-4 + 2} [/tex]

[tex] m = \frac{1}{-2} [/tex]

[tex] m = -\frac{1}{2} [/tex]

inscribed angles. I need answers asap, thank you!​

Answers

Answer:

60°

Step-by-step explanation:

The whole circunference is 360° from a central angle

so from an inscribed angle is 180°

notice that arc ABC + arc ADC make the whole circunference

so the inscribed angles that support those arc together must add to 180°

120°+b=180

b=60

from here we deduce that a cyclic quadrilateral (a quadrilateral that his points are on a circunference) oposite angles add up to 180

What else would need to be congruent to show that AABC = APQR by SSS?
Giver
AC =PR
BC = QR

A AC = PQ
B. AB = PQ
C. ZAZP
D. ABBA

Answers

Answer:

B, because that's the side that wasn't given

Step-by-step explanation:

The statement AB ≅ PQ is required to be congruent.

Option B is the correct answer.

What is triangle congruency?

There are ways to prove that two triangles are congruent.

- Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

- Side-Angle-Side (SAS) Congruence.

The two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle.

- Angle-Side-Angle (ASA) Congruence.

The two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle.

- Angle-Angle-Side (AAS) Congruence.

We have,

Side-Side-Side (SSS) Congruence.

The three sides of one triangle are equal to the corresponding three sides of another triangle.

Now,

ΔABC and ΔPQR

AC ≅ PR  (given) (side)

BC ≅ QR (given ) (side)

AB ≅ PQ (side)

ΔABC ≅ ΔPQR (SSS)

Thus,

AB ≅ PQ is required to be congruent.

Learn more about triangle congruency here:

https://brainly.com/question/12413243

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Victor fue al mercado para comprar manzanas, naranjas y platanos; las naranjas costaron el doble de lo 1ue pago por las manzanas y los platanos costaron 8 pesos menos que pas manzanas, en total gasto 100 pesos. Determina el precio de las manzanas, naranjas y platanos

Answers

Answer:

El precio de las manzanas = 27 pesos

El precio de las naranjas = 54 pesos

El precio de las bananas = 19 pesos

Step-by-step explanation:

Los parámetros dados son;

El monto total gastado = 100 pesos

Sea el precio de las naranjas = x

Sea el precio de las manzanas = y

Sea el precio de los plátanos = z

La cantidad pagada por las naranjas = 2 · y = x

La cantidad pagada por los plátanos = y - 8 = z

Por lo tanto, tenemos;

La cantidad total gastada = La cantidad pagada por las naranjas + La cantidad pagada por las bananas + La cantidad pagada por las manzanas

∴ El monto total gastado = 100 pesos = 2 · y + y - 8 + y

100 = 4 · años - 8

4 · y = 100 + 8 = 108

y = 108/4 = 27

y = 27

De

z = y - 8 tenemos;

z = 27 - 8 = 19

De 2 · y = x, tenemos;

2 × 27 = x

x = 54

Por lo tanto;

El precio de las naranjas = 54 pesos

El precio de las manzanas = 27 pesos

El precio de los plátanos = 19 pesos.

evaluate 15.2% of a 726 + 12.8% of 673

Answers

Answer:

196.496

Step-by-step explanation:

0.152x726+0.128x673

110.352+86.144

=196.496

A cotton candy vendor has 27 cones of blue cotton candy to sell. If the blue cotton candy is 75% of the total number of cones, how many total cotton candy cones does he have?

Answers

Answer:

36

Step-by-step explanation:

Let the total number of cotton candy = A

Number of blue cotton candy = 27 cones

Percentage of blue cotton candy = 75%

Therefore, the total number of cotton candy is calculated as:

27/A × 100 = 75%

2700/A = 75

Cross Multiply

75A = 2700

A = 2700/75

A = 36

Therefore, the amount of total cotton candy that we have is 36.

jumbo fancy store wants to place an order for candles , if one box contains 144 candles, how many boxes must the shop order for a stock of 100 080 candles?

Answers

Answer: The shop must order 695 boxes

Step-by-step explanation:

To find how many boxes that holds 100,080 candles, first divide the amount of candles that is needed to the measured amount of candles that is in a box.

144 candles= 1 box

100,080= ? Box(es)

So:

100,080 ÷ 144= 695 boxes

I hope this helps! I'm sorry if it's wrong.

22/55 of a number is what percentage of that number

Answers

Answer:

[tex]\boxed{40}[/tex]

Step-by-step explanation:

Divide 22/55 to get 0.4.

Multiply 0.4 * 100 to get 40.

That value is your percentage.

Answer:

40 percent

Step-by-step explanation:

22/55

simplify by 11

2/5

multiply by 20

40/100

turn to percent

40 percent

kim places £500 in a bank account the pays 3% simple interest each year
how much interest will she earn each year?
how much will she have in her account after 1 year

Answers

She will gain 3% each year and after one year she will gain £15 leaving her total at £515

If a 100-pound block of ice is placed on an inclined plane that makes an angle of 35° with the horizontal, how much friction force will be required to keep it from sliding down the plane? Choose the equation that could be used to solve the problem if x represents the force required to keep the block from sliding down the plane.

Answers

Answer:

F = 100(.5736)  

= 57.36 lbs. (rounded off to 2 decimal places)  

2) sin60 = .866  

F = 18(.866)  

= 15.59 lbs. (rounded off to 2 decimal places)

Step-by-step explanation:

F = friction

Answer:

100sin35° = x

Step-by-step explanation:

I did the assignment, this was the correct answer for me.

Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Answers

Answer:[tex]14cm^{2}[/tex]

Step-by-step explanation:

diameter=7.3cm

radius=[tex]\frac{diameter}{2}[/tex]

          =[tex]\frac{7.3}{2}[/tex]

          =3.65cm

angle =120°

area=[tex]\frac{angle (tita)}{360}[/tex] × [tex]\frac{\pi r^{2} }{1}[/tex]

=[tex]\frac{120}{360}[/tex] × [tex]\frac{22}{7}[/tex] ×[tex]3.65^{2}[/tex]

=[tex]13.95cm^{2}[/tex]

≅[tex]14cm^{2}[/tex]

A local gym charges a $25 monthly membership fee plus $2 per hour for aerobics classes. What is the linear equation that describes the relationship between the total monthly cost (Y) and the number of class hours each month (X)

Answers

Answer:

The equation is same as the equation for a straight line Y= mx+c

Step-by-step explanation:

The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is

[tex]Y= mx+c\\\\ Y= 2X+25[/tex]

where Y= the dependent variable, monthly cost

          x= the independent variable, the number of hours for aerobic classes

          c= the intercept, $25

BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY.
Which sets of points does NOT represent a function?

A. (-2, 1), (6, 3), (5, 1), (-4, 6)
B. (-7, 3), (1, 2), (5, 3), (-7, 2)
C. (-4, -3), (-1, 2), (0, 5), (3, 2)
D. (-5, -1), (-2, -1), (1, -1), (4, -1)

Answers

B has two pre-images of -7 so it is not a function

B. (-7, 3), (1, 2), (5, 3), (-7, 2)

Since  

x = − 7  produces  y = 3  and  y = 2

So the relation is not a function.

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