Last question: What equation represents three less than five times a number is twelve?

A. 3 - 5x = 12
B. 5x - 3 = 12
C. 5(3 - x) = 12
D. 5(x - 3) = 12

Answer:

y=1

Step-by-step explanation:

Answer:1

Step-by-step explanation: 7y = 7

divide both sides by 7 to isolate y

y = 1

Answer:

x = 16

Step-by-step explanation:

\(\frac{8+x}{24+x}=\frac{3}{5}\\ \\ 5(8+x)=3(24+x)\\\\40+5x=72+3x\\\\5x=32+3x\\\\2x=32\\\\x=16\)

Answer:

To find the sum of all the numbers in the list, we can add each number together:

-45 + -21 + -16 + 12 + 33 + 40 = 59

So the sum of all the numbers in the list is 59.

Step-by-step explanation:

x² + 2x - 5 = 0

that is the same as

x² + 2x + 1 = 6

(x + 1)² = 6

x + 1 = ±sqrt(6)

x = -1 ± sqrt(6)

x1 = -1 + sqrt(6)

x2 = -1 - sqrt(6)

n² - 20n + 2 = 4

this is the same as

(n - 10)² = 102

n - 10 = ±sqrt(102)

n = 10 ± sqrt(102)

n1 = 10 + sqrt(102)

n2 = 10 - sqrt(102)

Answer:

okay

Step-by-step explanation:

palish pnyang pnyang sbaby sha

Answer:

The answer is

2.4z+1.2z=0.7+6.5.

3.6z=7.2.

z=7.2/36.

z=2

The product between functions f(x) and g(x) is:

(fg)(x) = x^3 - 4x^2 - 16x + 4

Here we have two functions:

f(x) = x - 4

g(x)  = x^2 - 16

We want to find the product:

(f times g)(x)

So we just need to take the product between the two functions:

(x - 4)*(x^2 - 16)

x^3 - 4x^2 - 16x + 4

Then the product of the functions is:

(f times g)(x) = x^3 - 4x^2 - 16x + 4

Learn more about the product of functions at:

https://brainly.com/question/25638609

#SPJ1

ANSWER

Option D

EXPLANATION

Given:

Total number of investors = 998

Number of investors tracking daily stock = 235

Determine the probability

The value of sin(π/6) is 0.50.

Trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the triangle DEF

and ∠E = π/6

converting the radian to the degree,

for conversion put π = 180°

π/6 = 180/6

π/6 = 30°

to find sin(π/6)

sin(π/6) = sin30 = 1/2

sin(π/6) = 0.50

Hence value for the condition is 0.50.

Learn more about trigonometric functions;

https://brainly.com/question/6904750

#SPJ1

Answer:

7 lbs

Step-by-step explanation:

Answer:

You can buy about 7 pounds of apples.

Step-by-step explanation:

Since we're dealing with cents, we'll change 88 to 0.88 so we can solve.

I personally did 0.88p = 6, where p = pounds, and then I divided 0.88 on both sides.

Of course you could just divide normally,

6 ÷ 0.88, either way it equals 6.81 repeating.

When you round that up, it will equal to 7.

Hope this helps :)

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.

To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.

Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.

To know more about proportion visit

https://brainly.com/question/1496357

#SPJ11

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination​ (IRD) phase of systems analysis except beta testing.

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except beta testing. The IRD phase of the systems analysis process is used to determine information requirements for the system being developed. The IRD process identifies what information is needed to support business functions and operations.

The activities that are carried out during the IRD phase of the systems analysis process include: Reviews of paper-based forms and reports Interviews with system users Observation of system use Meetings with the development team Therefore, the answer is option C. Beta testing is not a part of the IRD phase of systems analysis.

To know more about information visit:

brainly.com/question/28259519

#SPJ11

To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:∫CF.v dlWhere v = (x²+2yz)i + y²j and dl = dx i + dy j + dz kTherefore,∫CF.(x²+2yz) dx + y² dy … (1)Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴

The above line integral is the required value. So, we need to evaluate this integral. To calculate the line integral of the given vector field, we will use the formula of line integral. For the given function, the formula will be:

∫CF.v dl

Where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

Therefore,

∫CF.(x²+2yz) dx + y² dy … (1)

Here, C is the curve from point (0,0,0) to (1,1,1) along the given route, that is, (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1).∴ The above line integral is the required value. So, we need to evaluate this integral.The integral is a line integral of a vector field, with the curve path of integration is given by C as follows: C: (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1)In other words, we need to evaluate the integral of the dot product of the vector field v with the differential of the curve:

∫CF.v dl...

where

v = (x²+2yz)i + y²j

and

dl = dx i + dy j + dz k

We must split the curve C into three distinct segments before we can start evaluating the integral. The segments will be from (0,0,0) to (1,0,0), from (1,0,0) to (1,1,0), and from (1,1,0) to (1,1,1).Let's start with the first segment, from (0,0,0) to (1,0,0). We can set x = t, y = 0, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = dt, dy = 0, dz = 0. We have:∫(0,0,0)to(1,0,0)

vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(t²+0)dt + 0 + 0= [t³/3]0to1= 1/3

Now, let's evaluate the second segment, from (1,0,0) to (1,1,0). We can set x = 1, y = t, z = 0, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = dt, dz = 0. We have:

∫(1,0,0)to(1,1,0)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+0)dx + t²dy + 0dz= 1∫0to1(t²)dt= [t³/3]0to1= 1/3

Finally, let's evaluate the third segment, from (1,1,0) to (1,1,1). We can set x = 1, y = 1, z = t, with t varying from 0 to 1, to parametrize this segment. Then dx = 0, dy = 0, dz = dt. We have:

∫(1,1,0)to(1,1,1)vdl = ∫0to1(x²+2yz)dx + y²dy + 0dz= ∫0to1(1²+2(1)(t))dx + 1²dy + 0dz= ∫0to1(1+2t)dt + 1(0to1)+ 0= [t²+t]0to1+ 1= 3/2

Therefore, the line integral is the sum of the integrals along the three segments:

∫CF.v dl= 1/3+ 1/3+ 3/2= 2

Thus, the value of the line integral of the given function v = x²+2yzi + y²j from (0,0,0) the point (1,1,1) by the route (0,0,0) + (1,0,0) + (1,1,0) + (1,1,1) is equal to 2.

To learn more about line integral visit:

brainly.com/question/29850528

#SPJ11

a. the amount that the gymnast wins is a discrete random variable. b. the gymnast can expect to win $86,000 on average. c. the population variance of the amount that the gymnast wins is $708,000,000.

(a) A discrete random variable is a variable that can take on a countable number of distinct values. In this case, the random variable represents the amount that the gymnast wins. As the gymnast can win either a gold, silver, or bronze medal, the random variable can take on the values $100,000, $80,000, and $50,000, respectively. Therefore, the amount that the gymnast wins is a discrete random variable.

(b) To calculate the amount that the gymnast can expect to win, we need to find the expected value or the mean of the random variable. The expected value is calculated by multiplying each possible value of the random variable by its corresponding probability and summing them up.

Expected value (E) = (Probability of winning gold * Amount for gold) + (Probability of winning silver * Amount for silver) + (Probability of winning bronze * Amount for bronze)

E = (0.6 * $100,000) + (0.2 * $80,000) + (0.2 * $50,000)

E = $60,000 + $16,000 + $10,000

E = $86,000

Therefore, the gymnast can expect to win $86,000 on average.

(c) The population variance (σ^2) measures the spread or variability of the random variable. It is calculated by taking the sum of the squared differences between each value of the random variable and the expected value, weighted by their probabilities.

Variance (σ^2) = [(Value 1 - E)^2 * Probability 1] + [(Value 2 - E)^2 * Probability 2] + [(Value 3 - E)^2 * Probability 3]

Variance = [($100,000 - $86,000)^2 * 0.6] + [($80,000 - $86,000)^2 * 0.2] + [($50,000 - $86,000)^2 * 0.2]

Variance = [($14,000)^2 * 0.6] + [(-$6,000)^2 * 0.2] + [(-$36,000)^2 * 0.2]

Variance = $117,600,000 + $72,000,000 + $518,400,000

Variance = $708,000,000

Therefore, the population variance of the amount that the gymnast wins is $708,000,000.

Learn more about random variable here

https://brainly.com/question/17217746

#SPJ11

Answer:

20.25

Step-by-step explanation:

I hope this helps

Answer:

Juan rode more slowly, Rita's graph is much steaper than Juan's. This means that she went faster and in less time. Juan took longer time and went on a slower pace. That's why I chose Juan.

Step-by-step explanation:

Good luck! <3

Using the center-of-gravity technique, the best site location for the new distribution center in Charlotte is determined to be at coordinates (X, Y) = (27.92, 19.08).

The center-of-gravity technique is used to find the optimal location for a facility based on the distribution of demand. In this case, we will calculate the weighted average of the coordinates (X, Y) of the three sites, with the weights being the number of weekly packages flowing to each site.

To calculate the X-coordinate of the center of gravity, we use the formula:

Xc = (X1 * W1 + X2 * W2 + X3 * W3) / (W1 + W2 + W3)

Similarly, for the Y-coordinate:

Yc = (Y1 * W1 + Y2 * W2 + Y3 * W3) / (W1 + W2 + W3)

Substituting the given values:

Xc = (16 * 26000 + 35 * 12000 + 40 * 10000) / (26000 + 12000 + 10000) ≈ 27.92

Yc = (28 * 26000 + 10 * 12000 + 18 * 10000) / (26000 + 12000 + 10000) ≈ 19.08

Therefore, the best site location for the new distribution center in Charlotte is approximately at coordinates (X, Y) = (27.92, 19.08) based on the center-of-gravity technique.

Learn more about coordinates here:

https://brainly.com/question/22261383

#SPJ11

Answer:

$0.98 each bottle

Step-by-step explanation:

We know:

cost of popcorn= $1.84

number of bottles= 8

total cost= $9.68

cost of all bottles=

total cost−cost of popcorn

=

9.68−1.84

=

7.84

cost per bottle=

number of bottles/cost of all bottles

=

8
=

7.84/8
=

0.98

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

The expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

Let's gο thrοugh the steps tο cοnstruct an expressiοn syntax tree fοr a given well-balanced algebraic expressiοn. We'll use the stack, infix tο pοstfix, and pοstfix evaluatiοn tree cοnstructiοn techniques.

Let's assume we have the fοllοwing well-balanced algebraic expressiοn:

((a+b)*(c-d))/e

Step 1: Infix tο Pοstfix Cοnversiοn

We'll cοnvert the given infix expressiοn tο pοstfix nοtatiοn using the stack.

Infix Expressiοn: ((a+b)*(c-d))/e

Pοstfix Expressiοn: ab+cd-*e/

Step 2: Cοnstructing the Pοstfix Evaluatiοn Tree

We'll use the pοstfix expressiοn tο build the evaluatiοn tree. Each οperand and οperatοr will be represented as a nοde, and the οperands will be the children οf the οperatοr nοdes.

Pοstfix Expressiοn: ab+cd-*e/

Step 3: Infix Traversal

We'll perfοrm an infix traversal οf the evaluatiοn tree tο οbtain the expressiοn in infix nοtatiοn.

Infix Traversal: ((a+b)*(c-d))/e

Sο, the expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

Learn more about syntax tree

https://brainly.com/question/31837112

#SPJ4

Answer:

x = 35.

Step-by-step explanation:

since they are odd, the second number isn't x + 1, it is x + 2.

x + x + 2 = 72

2x + 2 = 72

2x = 70

x = 35

The quadratic regression model for the data is -29.44x² + 380.89x - 648.22 and profit for a selling price of $10.75 is $6849.

The quadratic regression model is represented in the form ;

Ax²+Bx + C.

Using a quadratic regression calculator, the equation which models the data given is 29.44x² + 380.89x - 648.22

To obtain the profit, substitute x = 10.75 into the regression model.

29.44(10.75)² + 380.89(10.75) - 648.22

Learn more on quadratic regression ; https://brainly.com/question/16490094

#SPJ1

a. To calculate the solid angle subtended by the thunderstorm cloud, we can use the formula for the solid angle of a cone-like region given by: Solid Angle = ∫∫ sin(θ) dθ dφ.

In this case, the limits of integration are π/6 < θ < π/2 and 0 < φ < π/8. ∫∫ sin(θ) dθ dφ = ∫(π/8 to π/2) ∫(0 to π/8) sin(θ) dθ dφ. Evaluating this integral will give us the solid angle subtended by the thunderstorm cloud. b. To determine the percentage of the sky occupied by the thunderstorm cloud, we need to calculate the ratio of the solid angle subtended by the cloud to the total solid angle of a full sphere (4π steradians), and then multiply by 100. Percentage of Sky Occupied = (Solid Angle / 4π) * 100.

By substituting the value of the solid angle obtained in part (a) into this formula, we can determine the percentage of the sky occupied by the thunderstorm cloud. Please note that without specific numerical values for the limits of integration, it is not possible to provide a numerical answer in this case.

To learn more about solid angle click here: brainly.com/question/29113767

#SPJ11

Answer:

x = 61

Step-by-step explanation:

0.5(x + 7) + 9 = 43

0.5x + 3.5 + 9.0 = 43

0.5x + 12.5 = 43.0

0.5x = 30.5

x = 30.5 / 0.5

x = 61

The solution to the value of x in the equation is 61

In a mathematical concept, an algebraic expression consists of variables, constants with their arithmetic operations.

From the given parameters

0.5(x + 7) + 9 = 43

Open brackets

0.5x + 3.5 + 9 = 43

0.5x + 12.5 = 43

0.5x = 43 - 12.5

0.5x = 30.5

x = 30.5/0.5

x = 61

Learn more about algebraic expressions here;

https://brainly.com/question/24998135

Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

Answer:

20 miles a gallon

Step-by-step explanation:

120 miles/6 gallons = 20 miles/gallons

Answer: b = 30°

Step-by-step explanation:

       The little square represents a 90-degree angle.

90° - 60° = b

30° =  b

b = 30°

the answer should be 2

Step-by-step explanation:

Hope this helped

Answer: The formula for simple interest is:

I = Prt

Where:

I is the interest earned

P is the principal (the initial amount deposited)

r is the interest rate (as a decimal)

t is the time period in years

Using this formula, we can calculate the interest earned by Patricio after 4 years:

I = Prt

I = 800 * 0.025 * 4

I = 80

So, after 4 years, Patricio will have earned $80 in interest. Adding this to the initial deposit of $800, the total amount of money he will have in the account is:

Total = P + I

Total = 800 + 80

Total = $880

Therefore, Patricio will have $880 in the savings account after 4 years.

Step-by-step explanation:

The formula for the probability of observing at least two ones. To find the actual probability, you would need to plug in the values for n and p.

The probability of observing at least two ones can be calculated using the binomial probability formula.

First, let's define our variables:
- n = the number of trials
- p = the probability of observing a one in a single trial
- x = the number of ones we want to observe

The binomial probability formula is:
P(X = x) = (n choose x) * p^x * (1-p)^(n-x)

In this case, we want to find the probability of observing at least two ones, which means we need to calculate the probability of observing two ones, three ones, four ones, etc. and add them all together.

We can do this by using the formula for the sum of a binomial distribution:
P(X >= x) = 1 - P(X < x)

So, to find the probability of observing at least two ones, we need to subtract the probability of observing less than two ones from 1.

P(X >= 2) = 1 - P(X < 2)

P(X >= 2) = 1 - (P(X = 0) + P(X = 1))

We can plug in our values for n, p, and x into the binomial probability formula to calculate P(X = 0) and P(X = 1):

P(X = 0) = (n choose 0) * p^0 * (1-p)^(n-0) = (1) * (1) * (1-p)^n

P(X = 1) = (n choose 1) * p^1 * (1-p)^(n-1) = (n) * (p) * (1-p)^(n-1)

Finally, we can plug these values back into our formula for P(X >= 2) to find the probability of observing at least two ones:

P(X >= 2) = 1 - ((1) * (1) * (1-p)^n + (n) * (p) * (1-p)^(n-1))

This is the formula for the probability of observing at least two ones. To find the actual probability, you would need to plug in the values for n and p.

Learn more about Probability

brainly.com/question/14210034

#SPJ11