Solve for all values of x in simplest form.
5 – 4|1 + 2x) = -3
Answer:
Submit Ar

No. The GCF of 6 and 35 is 1.

To determine the biggest factor that perfectly divides both 6 and 35, i.e. 1, we must factor each number separately (factors of 6 are 1, 2, 3, 6; while factors of 35 are 1, 5, 7, 35).

What is Factors of 35?

Factors of 35 are the list of integers that we can split evenly into 35. It has a total of 4 factors of which 35 is the biggest factor and the positive factors of 35 are 1, 5, 7 and 35. The Prime Factors of 35 are 1, 5, 7, 35 and its Factors in Pairs are (1, 35) and (5, 7).

Factors of 35: 1, 5, 7 and 35

Negative Factors of 35: -1, -5, -7 and -35

Prime Factors of 35: 5, 7

Prime Factorization of 35: 5 × 7 = 5 × 7

Sum of Factors of 35: 48

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The area of the triangle according to the information given in the  question is 17/8.

A triangle is a three-sided polygon that is also known as the trigon.

Angles in a triangle are formed by connecting the three sides end to end at a point.

Consider the following right-angled triangle, with vertices (0,-4), (0.0), and (1,0).

Its legs are 4 and 1 meters long, and its hypotenuse is 42+12=17 meters long.

The height "h" (altitude) of this triangle drawn to the hypotenuse is easily determined.

Based on the area, we get the equation (41)/2=(1/2)17h h=4/17 h=0.970143.

As we can see, it is not a single unit.

It means that the triangle's legs should be 17/4 as long as the original triangle's legs (1 unit and 4 units).

As a result, the area of the seeking triangle is (1/2)(17/4)(417/4) = (1/2)(17/4) =17/8

As a result, the area of the triangle in the question is 17/8.

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The momentum conservation equation in its vector form describes the relationship between the rate of change of linear momentum and the forces acting on a system.

The equation of conservation of momentum in its vector form is known as Euler's equation. This equation establishes the relationship between the rate of change of linear momentum and the forces acting on a system.

In its vector form, the momentum conservation equation is expressed as follows:

∂ρ/∂t + ∇(ρv) = ∑F

Where:

- ∂ρ/∂t is the partial derivative of the momentum density with respect to time.

- ∇·(ρv) is the divergence of the product of the linear momentum density (ρ) and the velocity (v).

- ∑F represents the sum of all forces acting on the system.

This equation expresses that the temporal variation of the linear momentum density at a given point is equal to the sum of the forces applied at that point. This formulation is valid in systems where there is no momentum exchange with the surroundings.

In summary, the momentum conservation equation in its vector form describes the relationship between the rate of change of linear momentum and the forces acting on a system.

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A: Categories and frequencies refer to the number of times a particular category or group of data appears in a set of data. For example, if a survey asked people to identify their gender, the categories would be male and female and the frequencies would be the number of people who chose each gender.

Categories and frequencies are two elements of data analysis. Categories refer to the different groups or types of data, such as gender, age, or location. The frequency is the number of times a particular category appears in a set of data. For example, in a survey about gender, the categories would be male and female and the frequencies would be the number of people who chose each gender.

Categories and frequencies are two important elements in data analysis. Categories refer to the different groups or types of data, and frequencies refer to the number of times a particular category appears in a set of data. For example, if a survey asked people to identify their gender, the categories would be male and female, and the frequencies would be the number of people who chose each gender. This type of data analysis is useful for understanding the makeup of a population or the distribution of a particular trait. By analyzing categories and frequencies, trends and patterns can be identified, and decisions can be made based on the data.

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Answer: 3/4 is the answer.

Step-by-step explanation:

(2/3)/(8/9)

(doing reciprocal)

2/3 * 9/8

= 18/24

= 6/8

= 3/4

Answer:

3/4

Step-by-step explanation:

2/3 ÷ 8/9 = 2/3 ×9/8 = (2×9)/(3×8) =3/4

Answer:

We can use the formula for the lateral surface area of a cone to find the slant height:

Lateral surface area = πrℓ, where r is the radius and ℓ is the slant height.

Since the paper cup is hollow, the lateral surface area is equal to the outer surface area of the cup, which is given as 17.9 square inches. The radius of the cup is half the diameter, which we do not know, so let's call it d:

r = d/2

We also know that the lateral surface area is given by:

17.9 = πrℓ

Substituting r = d/2, we get:

17.9 = π(d/2)ℓ

Simplifying, we get:

ℓ = (2*17.9)/(πd)

Using an approximation of π = 3.14, we can calculate:

ℓ ≈ (2*17.9)/(3.14d) = 11.40/d

Since we do not have any information about the diameter of the paper cup, we cannot calculate the exact slant height.

Answer:

A

Step-by-step explanation:

add all the xs together and it give you 3x and if tou combine the 1s it gives you two

Solving for g in the equation g =  (c - p)/0.325

An equation is a mathematical expression that show the relationship between two variables.

Since we are given the equation c = 0.325g + p, we desire to make g subject of the formula.

To do this, we perform some mathematical operations on it.

So, c = 0.325g + p

Now, to isolate 0.325g on the right hand side, we subtract p from both sides of then equation.

So, c = 0.325g + p

c - p = 0.325g + p - p

c - p = 0.325g

Now to isolate g, we divide both sides of the equation by 0.325. So, we have

c - p = 0.325g

(c - p)/0.325 = 0.325g/0.325

g = (c - p)/0.325

So, we have g =  (c - p)/0.325

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The average inventory cost per unit for A.O. Smith is approximately $1.47.

To calculate the average inventory cost per unit for A.O. Smith, we can use the following formula:

Average Inventory Cost per Unit = (Inventory Value / COGS) * Average Holding Cost per Unit

Given:

Inventory Value = $163.4 million

COGS = $1,233 million

Average Holding Cost per Unit = $11.08

Substituting these values into the formula:

Average Inventory Cost per Unit = (163.4 / 1233) * 11.08

Calculating the result:

Average Inventory Cost per Unit = (0.1326) * 11.08 = $1.469608

Rounding the answer to the nearest $0.01:

Average Inventory Cost per Unit ≈ $1.47

Therefore, the average inventory cost per unit for A.O. Smith is approximately $1.47.

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The measures regarding the angles of the triangle are given as follows:

The angle measures are defined as follows:

The sum of the measures of the internal angles of a triangle is of 180º, hence the value of x is obtained as follows:

5x - 14 + x - 5 + 2x - 9 = 180

8x = 208

x = 208/8

x = 26.

Then the measures are given as follows:

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Answer:

Theyre out of order.

Step-by-step explanation:

Answer:

x=1 y=2

Step-by-step explanation:

Answer:

y= -2x+4

So the y intercept is 4, as its the c in this equation

I think that makes your x intercept as either 8 or 2...

Step-by-step explanation:

Answer:

Step-by-step explanation:

A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.

__

The equation can be rewritten to vertex form to find the maximum height.

  h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms

  h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16

  h(t) = -16(t -27/16)^2 +48 9/16

The maximum height is 48 9/16 feet, about 48.6 feet.

__

The air time is found at the value of t that makes h(t) = 0.

  0 = -16(t -27/16)^2 +48 9/16

  (-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16

  (√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16

The time in air is about 3.4 seconds.

Answer:

x=1

x=-2

Step-by-step explanation:

(3x-3)(x+2)

x=1

x=-2

Answer:

‼️A) 12‼️

Step-by-step explanation:

Key skills needed: Interior Angle Measure Theorem, Equation Creation

Step 1) First, we need to classify this shape. It has 7 sides, which means that we can use the Interior angle Theorem to find out the sum of all the interior angle measures

The theorem is:    S = (n - 2)180S=(n−2)180

S is the sum of all interior angle measures

n is the number of sides of the polygon

Step 2) With this, we can plug in 7 for "n" (Since the figure has 7 sides) and get:

---> S = (7-2)180S=(7−2)180

---> (7-2) is 5 since 7 - 2 = 5 so --> S = 5(180)S=5(180)

---> 5(180) is the same as 5 x 180 which is 900 so --> S = 900S=900

This means that the sum of all interior angles is 900 degrees.

Step 3) Now, we have to find out the sum of all the angles that they gave us so:

---> 10x + 10x + 9 + 133 + 9x + 14 + 12x - 9 + 10x + 5 + 136 = 90010x+10x+9+133+9x+14+12x−9+10x+5+136=900

The left side is the sum of all interior angles in the shape, and the right side is what the sum should be when expressed as a number.

Step 4) We have to combine all like terms on the left side:

---> 10x + 10x + 9x + 12x + 10x = 51x10x+10x+9x+12x+10x=51x

---> 9 + 133 + 14 -9+5+136 = 2889+133+14−9+5+136=288    

Step 5) This means that ---> 51x + 288 = 90051x+288=900

Subtract 288 from both sides  and get:

---> 51x = 61251x=612    (900-288 = 612)

Then divide by 51 from both sides and get:

---> x = 12x=12     (612 ÷ 51 = 12)

Therefore A) 12 is your answer.

I think it should be none of these.

The term on the left has to be even no matter what value of x and the right has to be odd no matter what value of x. Therefore, there shouldn't be an integer value of x that satisfies the equation, let alone the answer choices A-D.

Answer:

40 and 89

Step-by-step explanation:

let x be the number then the other number is 2x + 9, then

x + 2x + 9 = 129, that is

3x + 9 = 129 ( subtract 9 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

Thus the numbers are

x = 40 and 2x + 9 = 2(40) + 9 = 80 + 9 = 89

The statement that could be used to prove that lines r and s are parallel is given as follows:

m < 8 = m < 6.

When two parallel lines are cut by a transversal line, the corresponding angles are the angles that are in the equivalent position for each parallel line.

If the lines are in fact parallel, then the two angles are congruent.

From the image given at the end of the answer, the corresponding angles for this problem are given as follows:

Angle 8 and angle 6.

Hence the statement that proves by contradiction that the two lines are parallel is given as follows:

m < 8 = m < 6.

Meaning that the correct option is given by the third option.

The problem is given by the image presented at the end of the answer.

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Answer:

$8.40!

Step-by-step explanation:

20% of 42 is 8.4

Answer:

6i\(\sqrt{2}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\) and \(\sqrt{-1}\) = i

Given

\(\sqrt{-72}\)

= \(\sqrt{36(2)(-1)}\)

= \(\sqrt{36}\) × \(\sqrt{2}\) × \(\sqrt{-1}\)

= 6\(\sqrt{2}\) × i

= 6i\(\sqrt{2}\)

The expression is equivalent to \(5^2\).

Given

Expression; \(\rm \dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\)

The definition of exponential form is a way of writing a number that is multiplied by itself more than once.

To solve the exponential equation follow all the steps given below.

Therefore,

The expression is equivalent to;

\(\rm =\dfrac{(5^2)^{-3}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6}\times 5^4}{5^{-4}}\\\\=\rm \dfrac{(5)^{-6+4}}{5^{-4}}\\\\=\rm \dfrac{5^{-2}}{5^{-4}}\\\\=5^{-2+4}\\\\=5^2\)

Hence, the expression is equivalent to \(5^2\).

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Answer:

0.00065104166

Step-by-step explanation:

Answer:

Step-by-step explanation:

For what values of does the equation (2 + 1)^2 + 2 = 10 − 6 have two real and equal roots?

Answer:

a. $7

b. $x

c. $20

d.$5y

e.$x + $5y

The slope of the line is represented by the coefficient b, while the y-intercept is represented by the coefficient a.

Actually, none of the given options are correct. In the equation ŷ = a b(x), ŷ represents the predicted value of the dependent variable (usually denoted as y) based on the independent variable (usually denoted as x), with the content loaded in the equation (the coefficients a and b) determining the relationship between the two variables.

The slope of the line is represented by the coefficient b, while the y-intercept is represented by the coefficient a.

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Answer:

x=10,-2

Step-by-step explanation:

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Answer:

I think it would be (25) + 27

Step-by-step explanation:

im srry if its wrong im bad at math but i hope this helped!

If h > 42 and h < 60, where h is in inches, then we can say 42 < h < 60.

This translates to "the person's height must be between 42 inches and 60 inches, excluding both endpoints".

So for example, if someone is h = 50 inches, then they can go on the ride. This is because 42 < 50 < 60 is true. I've simply replaced h with 50.

On the other hand, something like 42 < 70 < 60 is false, meaning that h = 70 isn't allowed as they are too tall.

The person cannot have a height of h = 42, and they can't have a height of h = 60 either since we're leaving the endpoints out.

As a final example, if the person is h = 40 inches, then they can't ride either because 42 < 40 < 60 is false. They are too short in this case.

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Side notes:

If r2 equals .36 it means that 36% of the variability in one variable is accounted for by variability in another variable.The coefficient of determination, commonly referred to as r-squared or R2, is a statistical measure that evaluates how well a linear regression model fits the data.

It measures the proportion of variability in a dependent variable that can be accounted for by the independent variable(s). In simpler terms, the R-squared value indicates how well the regression line (or the line of best fit) fits the data points being studied, and whether the variation in the dependent variable is related to the variation in the independent variable.

If r2 equals .36, it means that 36% of the variability in one variable is accounted for by the variability in another variable.

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