PLEASE HELP (I’m not good at math )

Answer:

(x+1)^2=49

x=6. x=-8

Step-by-step explanation:

x^2 + 2x - 48 = 0

add 48 to each side

x^2+2x=48

take the coefficient of x

2

divide by 2

2/2=1

Square it

1^2=1

x^2+2x+1=48+1

x^2+2x+1=49

(x+1)^2=49

take the squere root of each side

sqrt((x+1)^2)=+sqrt(49)

x+1=+7

subtract 1 from each side

x+1-1=-1+7

x=-1+7. x=-1-7

x=6. x=-8

Answer:

x = -2

Step-by-step explanation:

3x + 5 + 15x + 25 + 6 = 0

18x + 36 = 0

18x = -36

x = -2

the proportion of women with blood pressure greater than 70 is approximately 0.8561 (rounded to 4 decimal places), or 85.61%.

To find the proportion of women with blood pressure greater than 70, we need to calculate the area under the normal distribution curve to the right of 70.

Using the given information, we know that the mean (μ) is 80.5 and the standard deviation (σ) is 9.9.

We can standardize the value 70 by subtracting the mean and dividing by the standard deviation:

Z = (70 - μ) / σ

 = (70 - 80.5) / 9.9

 = -10.5 / 9.9

 ≈ -1.0606

Now, we need to find the proportion of the standard normal distribution that is greater than -1.0606. We can look up this value in the standard normal distribution table or use a calculator.

Using a standard normal distribution table or calculator, we find that the proportion of values greater than -1.0606 is approximately 0.8561.

Therefore, the proportion of women with blood pressure greater than 70 is approximately 0.8561 (rounded to 4 decimal places), or 85.61%.

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If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

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Answer:

(-4 , 1)

Step-by-step explanation:

We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:

x = -b/2a

In our case b = 8, a = 1, so:

x = - 8/2 = -4

We plug this value into our original equation and find the y of the vertex:

(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1

Vertex = (-4 ; 1)

To evaluate the integral of the function 2(6x - 6)(4x²+ 9)dx from 0, follow these steps:

1. Rewrite the given function: The integral is ∫[2(6x - 6)(4x² + 9)]dx.

2. Distribute the 2 into the parentheses: ∫[12x(4x² + 9) - 12(4x² + 9)]dx.

3. Expand the integrand: ∫[48x³ + 108x - 48x² - 108]dx.

4. Combine like terms: ∫[48x³ - 48x² + 108x - 108]dx.

5. Integrate term by term:

  ∫48x³dx = (48/4)x⁴ = 12x⁴
  ∫-48x²dx = (-48/3)x³ = -16x³
  ∫108xdx = (108/2)x² = 54x²
  ∫-108dx = -108x

6. Combine the integrated terms: 12x⁴ - 16x³ + 54x²- 108x + C, where C is the constant of integration.

Since the given problem does not provide limits of integration, the final answer is the indefinite integral:

The integral of 2(6x - 6)(4x² + 9)dx is 12x⁴ - 16x³+ 54x² - 108x + C.

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Yes, that is correct. The Gaussian elimination rules are essentially the same as the three basic row operations, which allow you to algebraically manipulate a matrix's rows.

You can interchange two rows, multiply a row by a constant, or add a row to another row. These rules are essential in solving systems of linear equations and finding the reduced row echelon form of a matrix. By applying these rules, you can transform a matrix into an equivalent matrix that is easier to work with and reveals important information about the system of equations or the matrix itself. The Gaussian elimination rules, also known as the three basic row operations, allow you to algebraically manipulate a matrix in order to solve systems of linear equations. These operations include:
1. Interchanging two rows (R2 ↔ R3)
2. Multiplying a row by a nonzero number (R1 → kR1, where k is a constant)
3. Adding a row to another row (R2 → R2 + 3R1)
These rules help simplify the matrix and ultimately obtain the unique solution for the system of equations.

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Answer:

672

Step-by-step explanation:

40% of 480 is 192. Add that to the original price and you get 672

Answer:

$2.25 is the discounted price for each gallon.

Step-by-step explanation:

So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.

Have a nice day!

The value of 360 whole -5/6 in fraction upon calculation is found to be 2156/6 or 359.33

360 - 5/6 solving in fraction

This can be written as

360/1 - 5/6

taking the LCM of 1 and 6, the LCM is 6

Multiplying 6 with the numerator and denomenator of the term having 1 as its denominator and multiplying 1 with the numerator and denomenator of the term having 6 as its denominator,

360 x 6)/ 1 x 6 - (5 x 1)/ 6 x 1

= \(\frac{360*6}{1*6} - \frac{5*1}{6*1}\)

=\(\frac{2160 - 5}{6}\)

= 2156/6

= 359.333

Therefore the value of 360 whole -5/6 in fraction upon calculation is found to be 2156/6 or 359.33

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The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

The solution to the inequality expression is x > 1/6

From the question, we have the following parameters that can be used in our computation:

–2(8x – 4) < 2x + 5

Open the brackets

So, we have

-16x + 8 < 2x + 5

Evaluate the like terms

-18x < -3

Divide both sides by -18

x > 1/6

Hence, the solution is x > 1/6

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The greatest number of classrooms is 4, Joanne can distribute materials

5 flyers and 4 buttons.

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor or GCF.

Given:

Joanne is campaigning for class president and plans to distribute some campaign materials.

20 flyers and 16 buttons.

She wants each classroom to receive an identical set of campaign materials, without having any materials left over.

In order to find the greatest number of classrooms, Joanne can distribute materials:

We have,

the number of flyers = 20.

Number of buttons = 16

We need to find the GCF.

GCF of 16 - 1,2,4,8,16

GCF of 20-1,2,4,5,10,20

Clearly, 4 is the GCF.

Therefore, total number of classrooms = 4

Number of flyers distributed to each classroom

= Total number of flyers / Total number of classroom

= 20/4

= 5

Number of buttons distributed to each classroom

= Total number of buttons/ Total number of classrooms

= 16/4

= 4

Therefore, the Joanne can distribute 5 flyers and 4 buttons to each classroom.

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Answer:

0.216

Step-by-step explanation:

\(8 \times 1 \times 3 \times 0.1 \times 9 \times 0.01\\\\=(8\times1)(3\times0.1)(9\times0.01)\\\\=8(0.3)(0.09)\\\\=(8\times0.3)(0.09)\\\\=(2.4)(0.09)\\\\=2.4\times0.09\\\\=0.216\)

is this the standard form?

The coefficient of lift is 1.17

C1 = Cn cos α - Ca sin α

Here, α

Cn is the normal force coefficient, and Ca is Substitute 12· for the axial force coefficient for α

C1 = 1.2cos12.-0.03sin 12.

= 1.16

≈1.17

What is the coefficient of normal force?

The Greek letter mu () typically serves as a symbol for it. From a mathematical perspective, = F/N, where F is the normal force and N is the frictional force. The coefficient of friction has no dimensions because both F and N are measured in force units like newtons or pounds.

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Answer:

0.6 miles per minute

Step-by-step explanation:

3/5 = 0.6/1 = 0.6

Answer:

0.6 miles or 3168 feet

Explanation:

In 5 minutes, you hike 3 miles, so in 1 minute you hike 3/5 miles or 0.6 miles.

it may be permissible to proceed with a hypothesis test even if the assumption of random participant selection is violated, under the conditions of known and accounted for non-random selection or random assignment to treatment groups

Random participant selection is an important assumption in hypothesis testing, as it helps ensure the generalizability of the results to the target population. However, in some situations, it may be impractical or impossible to achieve perfect random selection. In such cases, there are a few conditions under which it may still be permissible to proceed with a hypothesis test despite the violation of this assumption:

Non-random selection is known and accounted for: If the non-random selection process is well-documented and understood, researchers can adjust their analysis or statistical methods to account for potential biases introduced by the non-random selection.

Random assignment to treatment groups: Even if participants are not randomly selected, random assignment to different treatment groups can help mitigate the impact of non-random selection. By randomly assigning participants to treatment groups, the effects of non-random selection are distributed evenly across the groups, allowing for valid comparisons and hypothesis testing.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

We can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

Now, We can use a bar model to represent the total number of cans and the number of stacks that can be formed.

First, let's find the total number of cans:

7 boxes x 48 cans/box = 336 cans

Now, let's use a bar model to represent this total:

| 336 cans of food  |

Next, we want to find how many stacks of 8 cans we can form. We can use a separate bar model to represent the size of each stack:

| 42 stacks of 8 cans each |

Hence, The number of stacks that can be formed, we need to divide the total number of cans by the number of cans in each stack:

336 cans ÷ 8 cans/stack = 42 stacks

So the final bar model looks like this:

| 336 cans of food  | = | 42 stacks of 8 cans each |

Therefore, we can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

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I apologize, I am not able to perform live demonstrations or provide step-by-step proofs in the format you mentioned. However, I can explain the general process of a natural deduction proof in first-order logic.

The process of a natural deduction proof in first-order logic involves starting with premises, applying logical rules, making deductions, and reaching the desired conclusion.

In the natural deduction proof system, the goal is to derive a conclusion from a set of premises using logical rules and inference steps. The specific steps and rules depend on the particular system and proof framework being used.

Typically, a natural deduction proof involves the following steps:

Start with the premises: Write down the given premises or assumptions for the proof.

Apply logical rules: Use valid logical rules and inference steps to derive new statements or intermediate conclusions. These rules include introduction and elimination rules for connectives (e.g., conjunction, disjunction, implication), quantifiers (e.g., universal, existential), and identity.

Make logical deductions: Apply the rules repeatedly, combining statements and introducing new ones based on the rules of inference until you reach the desired conclusion.

Ensure validity: At each step, ensure that the rules applied are valid and preserve the truth of the statements. This may involve checking for contradictions, applying rules of inference correctly, and maintaining logical consistency.

Reach the desired conclusion: Continue the proof steps until you derive the desired conclusion based on the given premises.

The process of a natural deduction proof in first-order logic involves starting with premises, applying logical rules, making deductions, and reaching the desired conclusion. The specific steps and rules depend on the proof system being used and the specific proof being attempted.

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Answer:

2/3

Step-by-step explanation:

Answer:

a=2/3

Step-by-step explanation:

1. y=a(x-x1)(x-x2) is a formula for a parabola, x1 and x2 being points where y=0 so in the equation y=a(x-3)(x+2), you know

x1=3, x2=-2

2. Find distance between 3 and -2, which is 5

3. bh/2=A --> 5h/2=10 --> h=4  (h is height)

4. when x=0, y=-6a, y=a(0-3)(0+2)

5. because parabola opens upward, the point of the vertex must be (_, -4)

6. -6a= -4

     a=2/3

Answer: 1.571 inches

Step-by-step explanation:

The formula for a circumference of a circle is C = 2πr, where r is the radius of the circle. The radius is half of the diameter. We know that the diameter is 1/2 of an inch, so the radius is 1/4 of an inch.

So, plug 1/4 for r to get C = 2π(1/4) or approximately 1.571 inches.

Number of homeowners planted exactly two of the three vegetables is 434

|P| = 240, |S| = 165, |G| = 142.

|P ∩ S ∩ G| = 36, |P ∩ S| = 0, |P ∩ G| = 0, |S ∩ G| = 0.

Where, P is the set of homeowners who planted peppers, S is the set of homeowners who planted spinach, and G is the set of homeowners who planted garlic

According to inclusion-exclusion

|P∪∪ G| = |P|+|S|+ |G|-|P ∩ S|-|P ∩ G|-|S ∩ G|+ |P∩S∩G|

= 240 + 165 + 142 - 0 - 0 - 0 + 36

= 583

|X| = |P ∩ S' ∩ G'| + |P' ∩ S ∩ G'| + |P' ∩ S' ∩ G|

Substitute the values

= 82 + 45 + 22

= 149

|Y| = 583 - 149

= 434

Therefore, there are 434 homeowners planted exactly two of the three vegetables

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Answer:

x=6

Step-by-step explanation:

I believe these are corresponding angles so we can set these 2 equations equal to each other

7x-22=3x+2

7x=3x+24

4x=24

x=6

Hopes this helps please mark brainliest

Answer:

x = 20°

Step-by-step explanation:

Forming the equation,

→ (3x + 2)° + (7x - 22)° = 180°

Now required value of x will be,

→ (3x + 2)° + (7x - 22)° = 180°

→ 10x - 20° = 180°

→ 10x = 180° + 20°

→ x = 200°/10

→ [ x = 20° ]

Hence, the value of x is 20°.

The parts of the algebraic expression 3x - 2 are:

3 is the coefficient of x.

x is the variable

2 is the constant term

The algebraic Expression is given as:

3x - 2

Now, some parts of algebraic expressions are coefficients, variables and constant.

Coefficient is defined as the figure or number that is attached to the variable in an algebraic expression.

The variable is the letter that can change because different numbers are used for it.

The constant is the number that stands alone and doesn't change.

Thus, in 3x - 2:

3 is the coefficient of x.

x is the variable

2 is the constant term

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Answer:

37°

Step-by-step explanation:

the rules of a bow theorem is the angles at the bottom are equal and the angles at the top are equal