\(4x -3 = 11x\)
​

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

Answer:

u = -69

Step-by-step explanation:

Now we have to,

→ find the required value of u.

The equation is,

→ -11u = 759

Then the value of u will be,

→ -11u = 759

→ u = 759/-11

→ u = -(759/11)

→ [ u = -69 ]

Hence, the value of u is -69.

Answer:

(x, y)= (8, 12)

Step-by-step explanation:

2x - y = 4

y = 4 + x

2x ( 4 + x ) = 4

x = 8

y = 4 + 8

y= 12

Step-by-step explanation:

15 1/2+ 3/4=16 1/4

to add fractions what you want to do is this:

so you want them as the same denominator, a way to do this is multiply one denominator with another (ex, 2 in 1/2. you want to multiply 4 with 2 which equals 8 and 2 with 3. this together equals 6/8. do the same thing with 1/2. 1×4=4 2×4=8. 4/8)

so, whats 4/8 and 6/8? just adding it like usual, it'll be 10/8, or 1 2/8.

15+1 2/8=16 2/8

16 2/8 simplified (just divide by 2 until you make it to where you cant anymore)

16 1/4

do the same with the other adding ones.

23 1/6+8 3/4=23 11/12

15 2/5+ 2 2/6= 17 11/15

now, do the same way as showed before but except subtract.

9/10 - 3/5 = 15/50

7 3/4 - 5 5/8 = 1/8

20 5/8= 1/8

Answer:

The answer is E

Step-by-step explanation:

if you find the common numbers you get 45

Answer:

I think it's 42.2 I searched it up

The equation is linear so the correct answer is option B which is the equation will have one solution that is x = 13 / 3.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given equations are:-

(x + 12) = 4x – 1

The solution of the equation will be only one because the equation is linear and the degree of the linear equations is one that is why the equation will have only one solution.

(x + 12) = 4x – 1

12 + 1 = 4x - 1

13 = 3x

x  =  13 / 3

Therefore the equation is linear so the correct answer is option B which is the equation will have one solution that is x = 13 / 3.

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Answer:

The equation is linear so the correct answer is option B which is the equation will have one solution that is x = 13 / 3.

Step-by-step explanation:

The total cost of the carpet, foam padding, and labor charges for Randi's house would be $2,353.78 for the downstairs area, $665.39 for the halls, and $3,446.78 for the bedrooms upstairs.

Randi went to Lowe's to purchase wall-to-wall carpeting for her house. She needs different amounts of carpet for different areas of her home. For the downstairs area, Randi needs 110.18 square yards of carpet. The halls require 31.18 square yards, and the bedrooms upstairs need 161.28 square yards.

Randi chose a shag carpet that costs $14.37 per square yard. In addition to the carpet, she also ordered foam padding, which costs $3.17 per square yard. The carpet installers quoted a labor charge of $3.82 per square yard.

To calculate the cost of the carpet, we need to multiply the square yardage needed by the price per square yard. For the downstairs area, the cost would be

110.18 * $14.37 = $1,583.83.

Similarly, for the halls, the cost would be

31.18 * $14.37 = $447.65

and for the bedrooms upstairs, the cost would be

161.28 * $14.37 = $2,318.64.

For the foam padding, we need to calculate the square yardage needed and multiply it by the price per square yard. The cost of the foam padding for the downstairs area would be

110.18 * $3.17 = $349.37.

For the halls, it would be

31.18 * $3.17 = $98.62,

and for the bedrooms upstairs, it would be

161.28 * $3.17 = $511.80.

To calculate the labor charge, we multiply the square yardage needed by the labor charge per square yard. For the downstairs area, the labor charge would be

110.18 * $3.82 = $420.58.

For the halls, it would be

31.18 * $3.82 = $119.12,

and for the bedrooms upstairs, it would be

161.28 * $3.82 = $616.34.

To find the total cost, we add up the costs of the carpet, foam padding, and labor charges for each area. The total cost for the downstairs area would be

$1,583.83 + $349.37 + $420.58 = $2,353.78.

Similarly, for the halls, the total cost would be

$447.65 + $98.62 + $119.12 = $665.39,

and for the bedrooms upstairs, the total cost would be

$2,318.64 + $511.80 + $616.34 = $3,446.78.

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The complete question is:

Randi went to Lowe's to buy wall-to-wall carpeting. She needs 110.18 square yards for downstairs, 31.18 square yards for the halls, and 161.28 square yards for the bedrooms upstairs. Randi chose a shag carpet that costs $14.37 per square yard. She ordered foam padding at $3.17 per square yard. The carpet installers quoted Randi a labor charge of $3.82 per square yard.

Answer:

I dont know

Step-by-step explanation:

Answer: Let's say Neima's earnings are x dollars.

Then, Eva's earnings would be x + 40 dollars.

And, Sarah's earnings would be 2x - 20 dollars.

The total combined earnings of the three would be:

x + (x + 40) + (2x - 20) = 500

Simplifying the above equation, we get:

4x + 20 = 500

4x = 480

x = 120

Therefore, Neima's earnings are $120, Eva's earnings are $160 ($120 + $40), and Sarah's earnings are $220 (2 x $120 - $20).

Step-by-step explanation:

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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The equation of the tangent line to the curve y = (1 + 2x)¹² at the point (0, 1) is y = 24x + 1.

To find the equation of the tangent line to the curve at the given point, we need to determine the slope of the tangent line and then use the point-slope form of a linear equation.

Given the equation of the curve: y = (1 + 2x)¹² and the point (0, 1), we can find the slope of the tangent line by taking the derivative of the curve with respect to x.

Let's differentiate y = (1 + 2x)¹²:

dy/dx = 12(1 + 2x)¹¹ * 2

At the point (0, 1), x = 0. Substituting this value into the derivative, we have:

dy/dx = 12(1 + 2(0))¹¹ * 2

= 12(1)¹¹ * 2

= 12 * 2

= 24

So, the slope of the tangent line at the point (0, 1) is 24. Now we can use the point-slope form to find the equation of the tangent line:

y - y₁ = m(x - x₁)

Plugging in the values: x₁ = 0, y₁ = 1, and m = 24, we have:

y - 1 = 24(x - 0)

Simplifying, we get:

y - 1 = 24x

Finally, let's rewrite the equation in slope-intercept form (y = mx + b):

y = 24x + 1

Therefore, the equation of the tangent line to the curve y = (1 + 2x)¹² at the point (0, 1) is y = 24x + 1.

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we are told that $400 is deposited in a bank account and that every month $200 is added. If "m" is the number of months then the total balance for a given number of months is given by:

In this case, the input variable is the number of months "m" and the output variable is the balance "b". The initial value is $400 and the rate of change is:

Answer: I can't see the question

Step-by-step explanation:

Answer:

Vertices = 8

Edges = 12

Faces = 6

Step-by-step explanation:

A cuboid ( or a rectangular solid ) has 8 vertices , 12 edges & 6 faces.

The cost function is composed of various pieces of information that relate to the costs of the production process.

Ashley's cost function includes the cost of her grandma's heat and cable TV and Yam price to make toys.The cost function of Ashley is the economic relationship between the costs incurred by Ashley and the production of her products. It is a mathematical function that helps her analyze the production process to make her product profitable. The cost function is composed of various pieces of information that relate to the costs of the production process.Here are the pieces of information included in Ashley's cost function:- The cost of her grandma's heat and cable TV- Yam price to make toysTherefore, the correct answer is B and E.

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To compute the line integral of f along C, we need to parameterize the curve C and then integrate f along that curve. Here, C is given as r(t) =  for 0 ≤ t ≤ 1. Finding g explicitly is not easy, so we may need to use numerical methods or approximations to evaluate this integral.

We can start by computing the differential of r(t):
dr/dt =
Now, we can use this differential to express the line integral as an integral over t:
∫_C f ds = ∫_0^1 f(r(t)) ||dr/dt|| dt
where ||dr/dt|| is the length of the tangent vector at each point on the curve, which is given by:
||dr/dt|| =
Substituting all of these expressions into the line integral, we get:
∫_C f ds = ∫_0^1 f(r(t)) ||dr/dt|| dt
= ∫_0^1 (xy^3z^2) ||dr/dt|| dt
= ∫_0^1 (t^5cos(t))(t^3sin(t))^3(2t^2) dt
= 2∫_0^1 t^11cos(t)sin^9(t) dt
This integral is not easily evaluated, so we can use numerical methods to approximate the value. However, we can still observe that f is an integral of a product of powers of x, y, and z, which suggests that f is an "integral" function. That is, we can obtain f by integrating a partial derivative of some function g:
f(x, y, z) = xy^3z^2 = ∫(∂g/∂x) dx = ∫y^3z^2 dx
We can then apply the fundamental theorem of calculus to compute the line integral as:
∫_C f ds = ∫_0^1 f(r(t)) ||dr/dt|| dt
= ∫_0^1 (∂g/∂x)(r(t)) dx/dt dt
= g(r(1)) - g(r(0))
However, finding g explicitly is not easy, so we may need to use numerical methods or approximations to evaluate this integral.

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The derivative of the function `y = x^(-5x + 1)` is `dy/dx = x^(-5x + 1)(-5ln(x) - (5x - 1)/x)`.

To find `dy/dx` for `y = x^(-5x + 1)`, we use the logarithmic differentiation method.

This is because the given function is of the form `y = f(x)^g(x)` where `f(x) = x` and `g(x) = -5x + 1`.

We first take the natural logarithm of both sides: `ln(y) = ln(x^(-5x + 1))`.

Applying the power rule of logarithms and simplifying, we get: `ln(y) = (-5x + 1)ln(x)`

Differentiating with respect to x, we get: `(1/y)(dy/dx) = -5ln(x) - (5x - 1)/x`

Multiplying both sides by y and simplifying, we get: `dy/dx = y(-5ln(x) - (5x - 1)/x)`

Substituting the value of y from the given equation, we get: `dy/dx = x^(-5x + 1)(-5ln(x) - (5x - 1)/x)`.

To find `dy/dx` for `y = x^(-5x + 1)`, we use the logarithmic differentiation method. We first take the natural logarithm of both sides and then differentiate with respect to x. Finally, we substitute the value of y from the given equation to get the derivative. The derivative of the function `y = x^(-5x + 1)` is `dy/dx = x^(-5x + 1)(-5ln(x) - (5x - 1)/x)`.

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An equation with solutions y = e^(-7x) cos(5x) and y = e^(-7x) sin(5x) is y = e^(-7x) √(2) sin(5x + pi/4)

Let's start by noting that the sum of a sine and cosine function can be expressed as a single sine or cosine function with appropriate phase shift. Specifically, we have:

cos(x) + sin(x) = √(2) sin(x + pi/4)

Using this identity, we can write:

y = e^(-7x) cos(5x) + e^(-7x) sin(5x)

= e^(-7x) (cos(5x) + sin(5x))

= e^(-7x) √(2) sin(5x + pi/4)

Thus, an equation with solutions y = e^(-7x) cos(5x) and y = e^(-7x) sin(5x) is:

y = e^(-7x) √(2) sin(5x + pi/4)

We can verify that this equation indeed has the desired solutions by plugging them in:

y = e^(-7x) √(2) sin(5x + pi/4)

= e^(-7x) √(2) sin(5x + pi/4)

= e^(-7x) √(2) [sin(5x) cos(pi/4) + cos(5x) sin(pi/4)]

= e^(-7x) √(2) [cos(5x) + sin(5x)]

= e^(-7x) cos(5x) + e^(-7x) sin(5x)

Therefore, we have successfully constructed an equation with the given solutions.

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Answer:

hosta = $5 each

geranium = $2 each

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

Leas's cost: 11 h + 7 g = 69

Elisa’s cost: 10h + 7g = 64

Where h is the price of one hosta and g is the price of one geranium.

Subtracting Elisa's cost to Leas's cost:

11 h + 7 g = 69

-

10h + 7g = 64

____________

h = $5

Replacing h in one equation:

11 (5) + 7 g = 69

55 +7g =69

7g = 69-55

7g= 14

g= 14/7

g= $2

When the problem asks to evaluate an expression often means to test certain variable with a specific value. However, in this case, evaluating this equation refers to solving it to see if the equation is true or false. So, let's solve it

The first step is to solve products:

Then, we solve the difference:

As you can observe, 17 isn't equal to 12, which means the initial expression is completely false.

Therefore, according to the evaluation, the expression is false.

Answer:

The answer is 3/5

Step-by-step explanation:

Answer: XY= 20

Step-by-step explanation:

i took the test and got it correct

30 - 10 = 20

Explanation

In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.

From the given question

Also

Therefore, the answer is Reflexive Property; Given

Answer:

E=h*mg

Step-by-step explanation:

3=6/2

6=3*2................

Answer:

E=hmg

Explanation:

h=E/mg

*mg  *mg

hmg=E

Answer:

D. 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

\(\frac{d}{dx} [tan(x)]\\x = \pi\)

Step 2: Differentiate

Step 3: Evaluate

Hey there!

Let's combine like terms!

First, let's write them together, like so:

-2.8d+2.8d-2.8d+2.8d-1.33+3.4-1.33

And now we can see that -2.8d and 2.8d cancel out:

-2.8d+2.8d-1.33+3.4-1.33

And they cancel out again:

-1.3+3.4-1.33

Now all we have to do is add the numbers together:

0.77

Hope it helps!

\(**GraceRosalia **\)

\(BRAINLIEST \\PLEASE\\AND\\GOOD\\LUCK\\WITH\\YOUR \\STUDIES! :-)\)

The given expression :

LCM of 8 & 4 is 8

Simplify: 5 -4 =1

Apply cross multiplication:

Answer:

1 1/3.

Step-by-step explanation:

Multiply the smaller triangle's amounts by 1 1/3, you get the corresponding bigger triangle's amount for that side.

Hyperkalemia is a medical condition that refers to an elevated level of potassium in the blood.

This condition can be caused by several factors, including kidney disease, certain medications, and hormone imbalances. Symptoms of hyperkalemia can range from mild to severe, depending on the level of potassium in the blood.

In a 60-year-old female diagnosed with hyperkalemia, the most likely symptom that would be observed is muscle weakness. This is because high levels of potassium can interfere with the normal functioning of muscles, leading to weakness, fatigue, and even paralysis in severe cases.

Other symptoms that may be observed in hyperkalemia include nausea, vomiting, irregular heartbeat, and numbness or tingling in the extremities. Treatment of hyperkalemia typically involves addressing the underlying cause of the condition, as well as managing symptoms through medication and lifestyle changes.

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