Solving multi step equations
Like term- negative coefficients
-9 + x -3x = 5

Answer:

3x³ + 29x² + 10x - 50

Step-by-step explanation:

(3x + 5))(x² + 8x - 10)

each term in the second factor is multiplied by each term in the first factor , that is

3x(x² + 8x - 10) + 5(x² + 8x - 10) ← distribute parenthesis

= 3x³ + 24x² - 30x + 5x² + 40x - 50 ← collect like terms

= 3x³ + 29x² + 10x - 50

Answer: 3x³+29x²+10x-50.

Step-by-step explanation:

\((3x+5)*(x^2+8x-10)=\\3x*(x^2+8x-10)+5*(x^2+8x-10)=\\3x^3+24x^2-30x+5x^2+40x-50=\\3x^3+29x^2+10x-50.\)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

carnival game:

spinner: 1 to 8

Step 02:

simple probability:

p = favorable outcomes / total outcomes

1. probability of an event:

a. p (odds):

p (odds) = 4 / 8 = 1 / 2

b. p (evens):

p (evens) = 4 / 8 = 1 / 2

c. p (3):

p (3) = 1 / 8

d. p (4 or 6):

p (4 or 6) = 2 / 8 = 1 / 4

e. p (7'):

p (7') = 7 / 8

f. p (1):

p (1) = 1 / 8

That is the full solution.

The given numbers are in ascending order are, -3.5, -√12, 3.5, √13.

What is ascending order?

Ascending order refers to a list of numbers that are arranged from least to greatest. The numbers are arranged in ascending order in this form. The first figure must be less than the second figure. It is referred to as descending order when the numbers are listed from greatest to least.

Consider, the given numbers

-√12,  √13,  -3.5,  3.5

We have to arrange these numbers in ascending order.

First to find the values of  -√12, and √13,

Here,

-√12 = -3.46

 √13 = 3.6

Now we arrange the numbers -3.46,  3.6, -3.5, 3.5 in ascending order.

⇒ -3.5, -3.46, 3.5, 3.6

⇒ -3.5, -√12, 3.5, √13

Hence, the given numbers are in ascending order are,

-3.5, -√12, 3.5, √13.

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a) The volume of the cube is 27,271 cubic centimeter

b) The surface area of the cube is 5,400

Well the edge is  30 cm +-  0.1 cm

Volume will be side cubed, so max estimate for volume is (30.1)^3, and minimum  (29.9)^3

So percentage error =   [(30.1)^3  -  30^3/ /  30^3    x  100 = 1,00 %

Surface area is 6 x side squared

So max estimate for area is 6 x 30.1^2,      

minimum  6 x 29.9 ^ 2

So percentage error =   (6 x 30.1^2 - 6 x 30^2) / (6 x 30^2)   x 100 = 0.67 %

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The question that is best answered using a parametric design is: "Does one level of the independent variable result in an increase/decrease in levels of behavior when compared to another level of that independent variable, for given participants?"

A parametric design is characterized by manipulating and comparing different levels or conditions of an independent variable. It aims to determine whether there are significant differences between these levels in terms of the dependent variable. The design typically involves controlling extraneous variables and randomizing the assignment of participants to different conditions.

The question mentioned above aligns with the purpose of a parametric design as it seeks to compare the effects of different levels of the independent variable on behavior. By manipulating and systematically varying the independent variable while holding other factors constant, researchers can assess the impact of different conditions and determine if there are statistically significant differences in behavior between them.

The other answer choices provided do not explicitly involve comparing different levels or conditions of the independent variable, which is a key characteristic of a parametric design.

Therefore, the question that is best answered using a parametric design is: "Does one level of the independent variable result in an increase/decrease in levels of behavior when compared to another level of that independent variable, for given participants?"

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Answer:

Step-by-step explanation:

Use the Pythagorean Theorem!

Ferris to Dunlap would be 35 mi

however, we do not know Ferris to Buttle

use the Pythagorean theorem

We get a squared + b squared is equal to c squared

-> 225 + 400 = 625

625 is equal to 25 * 25

so Ferris to Buttle would be 25.

and it is 15 mi shorter!

The answer is a) 0 height, b) 25 seconds c) 10,600 feet d) 3 times e) (x+1)(x-3)(x+5).

A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given by the function defined by

s(t) = -16t² + 800t + 600.

To find out

(a) From what height was the projectile fired

Given height functions: s(t) = -16t² + 800t + 600

Now,

\(s^{'}(t)\) - -32t+800

(b) Now, to find the time it will attain maximum height,

\(s^{'}(t)\) = 0

-32t = -800

t = 25 seconds

(c) The maximum height it will reach

= \(-16*(25)^{2} + 800*25+600\)

= -10000+20000+600

= 10,600 feet

(d) Between what two times (in seconds, to the nearest tenth) will it be more than 5000 ft above the ground

By putting x = 3

\(P(3) = 4*(3)^{3}-50 * (3)^{2}-8*3+6\)

= 108-90-24+6

= 114-114

= 0

Therefore x = 3 is a zero of P(x)

(e) How long to the nearest tenth of a second will the projectile be in the air

Now, factoring,

\(f(x) = x^{3}+3x^{2} -13x-15\\ \\= x^{3}+x^{2} +2x^{2}+2x-15x-15\\ \\ = (x+1)(x^{2} +5x-3x-15)\\\\= (x+1)(x(x+5)-3(x+5))\\\\=(x+1)(x-3)(x+5)\)

Hence the answer is a) 0 height, b) 25 seconds c) 10,600 feet d) 3 times e) (x+1)(x-3)(x+5)

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The sample average is an unbiased estimator of the population mean, and its variance is σ^2/n.

In statistical inference, we often use sample data to make inferences about population parameters. The sample average, also known as the sample mean, is a common estimator for the population mean. It is calculated by summing all the observations in the sample and dividing by the sample size, n.

The sample average is an unbiased estimator, which means that on average, it will provide an estimate that is equal to the population mean. This property holds regardless of the sample size. Therefore, the sample average provides a reliable estimate of the population mean.

The variance of the sample average is determined by the population variance and the sample size. In this case, the population variance is known to be 2. The variance of the sample average is given by σ^2/n, where σ^2 is the population variance and n is the sample size. As the sample size increases, the variance of the sample average decreases, indicating that larger samples provide more precise estimates of the population mean.

In summary, when estimating the population mean based on a random sample, we use the sample average as an unbiased estimator. The variance of the sample average decreases as the sample size increases, leading to more accurate estimates of the population mean.

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The number 24 has a place value of two due to the presence of two full sets of tens.

\(Solution:}\:&\:b < 5\:\\\)

\(\:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:5\right)\end{bmatrix}\)

b + 7 < 12

b < 5

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Answer:

TOM KENNYY

Step-by-step explanation:

Tom Kenny as Spongebob Squarepants

Answer:

2.015 is already in decimals. In words it is two and fifteen thousandths.

Answer:

see below

Step-by-step explanation:

Move R side to the L side to get

2y^2 -4y +3  = 0

Use quadratic formula to find y = 1 +- i sqrt (2) / 2

Answer:

-4

Step-by-step explanation:

The expected value is the long-term average outcome of a random variable. It is calculated by multiplying each possible outcome by its probability and summing them up. In simpler terms, it represents the average value we expect to get over many trials.

The expected value is a concept in probability and statistics that represents the long-term average outcome of a random variable. It is also known as the mean or average. To calculate the expected value, we multiply each possible outcome by its probability and sum them up.

For example, let's say we have a fair six-sided die. The possible outcomes are numbers 1 to 6, each with a probability of 1/6. To find the expected value, we multiply each outcome by its probability:

Summing up these values gives us:

1/6 + 2/6 + 3/6 + 4/6 + 5/6 + 6/6 = 21/6 = 3.5

Therefore, the expected value of rolling a fair six-sided die is 3.5. This means that if we roll the die many times, the average outcome will be close to 3.5.

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Answer:

Step-by-step explanation:

I think it's 19/20 from 1800.

Answer:

The domain is: (-∞,∞)

The range is: (0,∞)

Step-by-step explanation:

Answer:

The domain of y = x2 is

✔ all real numbers

The range of y = x2 is

✔ y >= 0

Step-by-step explanation: Hope this helps!

The probability of Jose being the president and Ellen being the vice president in a committee of eight people choosing leaders at random is 1/56.

The probability of Jose being chosen as the president and Ellen being chosen as the vice president is:

P(Jose as president and Ellen as vice president) = P(Jose as president) * P(Ellen as vice president | Jose as president)

Since the assignments are made at random and there are no restrictions on who can be chosen for each position, the probability of Jose being chosen as president is 1/8, and the probability of Ellen being chosen as vice president, given that Jose is president, is 1/7 (since there are 7 remaining people who can be chosen for the position of secretary).

Therefore,

P(Jose as president and Ellen as vice president) = (1/8) * (1/7) = 1/56

So the probability that Jose is president and Ellen is vice president is 1/56.

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_____The given question is incomplete, the complete question is given below:

A committee of eight people must choose a president, a vice president, and a secretary.

Two of the committee members are Ellen and Jose. Assume the assignments are made at random. What is the probability that Jose is president and Ellen is vice president?

Answer:

no solutions

Step-by-step explanation:

4x + 5 = 9 + 4x

Subtract 4x from each side

4x-4x + 5 = 9 + 4x-4x

5 = 9

This is not a true statement so there are no solutions

Step-by-step explanation:

4x + 5 = 9 + 4x

4x - 4x = 9 - 5

0 = 4

CMIIW

Step-by-step explanation:

Many mathematical operations have an inverse, or opposite, operation. Subtraction is the opposite of addition, division is the inverse of multiplication, and so on. Squaring, which we learned about in a previous lesson (exponents), has an inverse too, called "finding the square root." Remember, the square of a number is that number times itself. The perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 …

The square root of a number, n, written

√n the number that gives n when multiplied by itself. For example,

√100=10 because 10 x 10 = 100

Examples

Here are the square roots of all the perfect squares from 1 to 100.

√ 1 = 1 since 1 ² = 1

√ 4 = 2 since 2 ² = 4

√ 9= 3 since 3 ² = 9

√ 16= 4 since 4 ² = 16

√ 25= 5 since 5 ² = 25

√ 36= 6 since 6 ² = 36

√ 49= 7 since 7 ² =29

√ 64= 8 since 8 ² = 64

√ 81= 9 since 9 ² = 81

√ 100= 10 since 10 ² = 100

Finding square roots of of numbers that aren't perfect squares without a calculator

1. Estimate - first, get as close as you can by finding two perfect square roots your number is between.

2. Divide - divide your number by one of those square roots.

3. Average - take the average of the result of step 2 and the root.

4. Use the result of step 3 to repeat steps 2 and 3 until you have a number that is accurate enough for you.

Example: Calculate the square root of 10 () to 2 decimal places.

1. Find the two perfect square numbers it lies between.

Solution:

32 = 9 and 42 = 16, so lies between 3 and 4.

2. Divide 10 by 3. 10/3 = 3.33 (you can round off your answer)

3. Average 3.33 and 3. (3.33 + 3)/2 = 3.1667

Repeat step 2: 10/3.1667 = 3.1579

Repeat step 3: Average 3.1579 and 3.1667. (3.1579 + 3.1667)/2 = 3.1623

Try the answer --> Is 3.1623 squared equal to 10? 3.1623 x 3.1623 = 10.0001

If this is accurate enough for you, you can stop! Otherwise, you can repeat steps 2 and 3.

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

Explanation:

We have a proportion in the form:

A/B = C/D

where,

Each is measured in feet.

In this case,

Let's solve for D.

A/B = C/D

18/6 = 15/D

3 = 15/D

3D = 15

D = 15/3

D = 5

Ariadne is 5 feet tall.

Therefore, the ratio of the velocities of bird 1 to bird 2 is 1:1.

To find the ratio of the velocities of bird 1 to bird 2, we can use the formula:

Ratio of velocities = Distance / Time

Given that bird 2 covers twice as much distance as bird 1, we can let the distance covered by bird 1 be D. Therefore, the distance covered by bird 2 is 2D.

For bird 1:

Distance (D) = D

Time (T₁) = 6.0 hours

For bird 2:

Distance (2D) = 2D

Time (T₂) = 12 hours

Now, let's calculate the velocities for both birds:

Velocity of bird 1 = Distance / Time

= D / 6.0

Velocity of bird 2 = Distance / Time

= (2D) / 12

To find the ratio of their velocities, we divide the velocity of bird 1 by the velocity of bird 2:

Ratio of velocities = (D / 6.0) / ((2D) / 12)

Simplifying the expression:

Ratio of velocities = (D * 12) / (6.0 * 2D)

Ratio of velocities = 12 / 12

Ratio of velocities = 1

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Step-by-step explanation:

72 times 108 = 7776 sq inches

to convert inches to yds divide by 36

7776/ 36 = 216 sq yds

Answer: 6 yards^2

Step-by-step explanation:

first lets find the area of the space in inches and then convert the total to square yards :)

area = length * width

A = 108 * 72 = 7776 inches^2

now lets convert it

there are 1296 inches in a yard, so we divide 7776 by 1296 to find the number of square yards

7776 / 1296 = 6

so the area of the space is 6 yards^2

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  a 2 − b2 = ( a + b ) (a − b )  where  a= 1  and  b = 10 x . ( 1 + 10 x ( 1 − 10 x )

Step-by-step explanation:

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:

The solution is: v = \(9\frac{1}{2}\)

Step-by-step explanation:

Given equation is:

\(\frac{4}{5}(v-7) = 2\)

The given equation is a linear equation in one variable. The solution requires isolating v on one side of the equation. Simple equality properties can be used to solve the equation.

So,

Multiplying both sides of equation with 5

\(5*\frac{4}{5}(v-7) =5* 2\\{4}(v-7) = 10\)

dividing both sides by 4

\(\frac{4(v-7)}{4} = \frac{10}{4}\\v-7 = \frac{5}{2}\\\)

Adding 7 on both sides

\(v-7+7 = \frac{5}{2}+7\\v = \frac{5+14}{2}\\v = \frac{19}{2}\\v = 9\frac{1}{2}\)

Hence,

The solution is: v = \(9\frac{1}{2}\)

Sabiendo que en la estrella la  suma de los cuatro  números de la línea  es la misma, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.

En primer lugar, sabes que en la estrella la  suma de los cuatro  números de la línea  es la misma.

Por lo que es conveniente escoger aquella línea en donde todos los valores son conocidos, de manera de poder estimar el valor de la suma. De esta manera, se calcula:

12 +1 +2 +15= 30

Entonces la suma en todas las líneas debe dar como resultado 30.

Para calcular el valor de c y d, es preferible elegir aquellas líneas en donde solo aparezca b y donde solo aparezca c.

Entonces, escogiendo aquella línea donde se tiene como incógnita sólo el valor de b y sabiendo que debe sumar 30, se tiene:

12 + (8-3) + 4 + b= 30

Resolviendo:

12 + 5 + 4+ b= 30

21 + b=30

b= 30 - 21

b= 9

Por otro lado, eligiendo aquella línea donde se tiene como incógnita sólo el valor de c y sabiendo que debe sumar 30, se tiene:

15 + 3 +4 + c= 30

22 + c= 30

c=30 - 22

c= 8

Finalmente, se decide verificar en aquellas líneas donde aparecen ambos valores de c y d, o aquellas líneas que no se hayan utilizado previamente, de manera que sumen 30. Entonces:

Primera verificación: 2c +2 +3 +b= 2×8 +2 +3+ 9= 16 +2 +3+ 9= 30

Segunda verificación: 2c +1 +(8-3) +c= 2×8 +1 +5+ 8= 16 +1 +5+ 8= 30

De esta manera se comprueba que en todas las líneas de la estrella la suma de los cuatro números es la misma.

En resumen, la respuesta correcta es la opción c) los valores de b y c son 9 y 8 respectivamente.

Aprende más con este problema similar

1+C is [-4 -4].

(i) AC = [13 -32 -40]
(ii) A + B = [-5.1 2.7 -2.8]
(iii) AB = [-13.3 10.3 -10.3]
(iv) 4A + 4B = [-20.4 10.8 -11.2]
(v) A + C = [-11 -9 -10]
(vi) 1 + C = [ -4 -4]
(vii) CA = [6 11 8]
(viii) BA = [-6.3 9.9 -9.9]
(ix) B + A = [-5.1 2.7 -2.8]
(x) 4(A + B) = [-20.4 10.8 -11.2]
(a) MATLAB may refuse to do some calculations if they are not mathematically valid. For example, the product of two matrices (AB) must have the same number of columns in the first matrix as the number of rows in the second matrix.
(b) Yes, 4(A + B) = 4A + 4B.
(c) No, AB ≠ BA.
(d) Adding a scalar to a matrix adds the scalar to each element of the matrix. In this case, 1+C is [-4 -4].
(e) Yes, A + B = B + A.

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Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

Answer:

24 g

Step-by-step explanation:

60/100x40

2400/100

24