Solve for x
X
18
24
16

Answer:

53

Step-by-step explanation:

angle 2 and 3, angle 3 and 4 are both supplementary angle, which means a2+a3=180 degree, a3+a4=180 degree.

Since you know that the angle 2 and 4 are both 29 degree,

you can write

a3+29=180, and a3 is represented as 3x-8

so

(3x-8)+29=180 (<-- answer for b)

3x+21=180

3x+21-21=180-21

3x=159

x=53

The value of x which is the hypotenuse of the triangle is 107.48

[tex]\dfrac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

[tex]\text{Hyp = x}[/tex]

[tex]\text{opp} = 76\sqrt{2}[/tex]

[tex]\text{adj} = \text{x}[/tex]

[tex]\text{x}^2 = (76\sqrt{2})[/tex]

[tex]\text{x}^2 = 11552[/tex]

[tex]\text{x}^2 = \sqrt{11552}[/tex]

[tex]\text{x} = 107.48[/tex]

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First of all, radius is half the diameter.  Radius is from the center-most point of a circle straight to the edge.

Answer:

The area of the whole object is 1,237.68 m^2 (meters squared).

Step-by-step explanation:

The circles are equal to:

π * d = a

3.14 * 12 = a

37.68 = a.

Now, since the circles are half in the rectangle, it would be easier to calculate the rectangle using these halves, so the total of the half-circles outside the rectangle is equivalent to a whole circle, or 37.68.  Now, let's calculate the rectangle:

20 * (30 * 2) = a

20 * 60 = a

1200 = a.

The whole area is equivalent to the area of the two half-circles and the area of the rectangle:

37.68 + 1200 = a

1237.68 = a

The probability of rolling a "1" OR a "2" on an 11-sided die is 2/11, or approximately 0.1818.

Probability is a way to gauge how likely or unlikely something is to happen. Usually, it is stated as a number between 0 and 1, where 0 denotes that an event is impossible and 1 denotes that it is certain to happen.

The probability of rolling a "1" or a "2" on an 11-sided die can be calculated by adding the probabilities of rolling a "1" and rolling a "2".

Assuming the die is fair (i.e., each face has an equal chance of landing face up), the probability of rolling any particular number is 1/11. Therefore, the probability of rolling a "1" is 1/11, and the probability of rolling a "2" is also 1/11.

To find the probability of rolling a "1" OR a "2", we add the probabilities:

P(rolling a "1" OR a "2") = P(rolling a "1") + P(rolling a "2")

P(rolling a "1" OR a "2") = 1/11 + 1/11

P(rolling a "1" OR a "2") = 2/11

Therefore, the probability of rolling a "1" OR a "2" on an 11-sided die is 2/11, or approximately 0.1818 (rounded to four decimal places).

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Step-by-step explanation:  

1. Quota Sampling: This method involves identifying specific subgroups of respondents that need to be included in the study in a specific proportion to the population.

2. Convenience Sampling: This sampling technique involves selecting the sample based on the availability of participants at the time of the study.

3. Stratified Sampling: This technique divides the population into subgroups or strata based on similarities, with the elements within each group being relatively homogeneous and heterogeneous among the other subgroups.

4. Purposive Sampling: This type of sampling is based on the intention or purpose of the study, and the sample is selected based on the researcher's judgment or knowledge of the population.

5. Judgment Sampling: This sampling technique depends on some pre-set standards, and the representative sample is selected based on the researcher's judgment or experience. 6. Simple Random Sampling: This technique involves using randomization to ensure that every element of the population has an equal chance of being selected for the sample. 7. Snowball Sampling: This sampling method is used in situations where the population is completely unknown or rare, and it relies on referrals from the initial participants to identify subsequent participants.

8. Hypothesis Sampling: This type of sampling is guided specifically by a hypothesis, and the sample is selected based on the research question being asked.

9. Qualitative Sampling: This technique is used in qualitative research and involves a systematic, subjective approach used to describe life experiences and give them meaning.

LO. Quantitative Sampling: This technique involves an objective, systematic, empirical investigation of observable phenomena through the use of computational techniques.

When you multiply an inequality by a positive number, the direction of the inequality does not change. So if 4 < 7, then:

what is inequality?

Inequality is a mathematical statement that describes a relationship between two values or expressions that are not equal. In an inequality, we use the symbols "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to) to indicate the relationship between the values or expressions.

For example, "x < 5" is an inequality that means "x is less than 5", and "y ≥ 10" is an inequality that means "y is greater than or equal to 10". Inequalities are often used in algebra and other branches of mathematics to express relationships between variables or to solve problems.

Multiplying both sides by

7 gives: 28 < 49

Multiplying both sides by

6 gives: 24 < 42

Multiplying both sides by

3 gives: 12 < 21

Multiplying both sides by

10 gives: 40 < 70

All of these inequalities are still true, because we are multiplying both sides by a positive number.

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We are given the system of equations:

y = 3x

y = 6x + 3

We can use substitution to solve this system. Since both equations are equal to y, we can set them equal to each other:

3x = 6x + 3

Subtracting 3x from both sides, we get:

0 = 3x + 3

Subtracting 3 from both sides, we get:

-3 = 3x

Dividing both sides by 3, we get:

x = -1

Now that we know x, we can use either equation to find y. Let's use the first equation:

y = 3x = 3(-1) = -3

Therefore, the solution to the system of equations is (-1, -3).

To check our solution, we can substitute these values back into both equations:

y = 3x gives us -3 = 3(-1), which is true

y = 6x + 3 gives us -3 = 6(-1) + 3, which is also true

Therefore, our solution is correct.

We can also plug in the other given points to check that they do not satisfy both equations, which means they are not solutions to the system.

The correct statement is C. asking questions, identifying problems, and gaining new information is the most accurate option.

The definition of "observation" given by Merriam-Webster is "an act of recognizing and noting a fact or occurrence often involving measurement with instruments," or "a record or description so obtained."

C. asking questions, identifying problems, and gaining new information is the most accurate option.

Making observations often involves the process of asking questions, identifying problems, and gaining new information. Observations are made to gather data and information about a phenomenon or event, which can then be used to answer questions or develop hypotheses for further research.

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For the given:  linear function: y = 3x and quadratic function: y = 7x², the graph is plotted.

f(x) = ax² + bx + c, where such a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.

Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

Given functions:

y = 3x and y = 7x²

For the linear function:

y = 3x

Put x = 1, y = 3*1 = 1 ; (1,3)

Put x = 2 , y = 3*2 = 6 ; (2,6)

For the quadratic function: y = 7x²

Put x = 1; y = 7(1)² = 7 ; (1, 7)

Put x = 2 ; y = 7(2)² = 28; (2,28)

Plot the obtained points on the graph;

The graph for the given function is obtained using the graphing tool.

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Correct question:

Sketch the region enclosed by y = 3x and y = 7x². Find the area of the region.

Answer:

-2 1/3 - (-5) = -2 1/3 + 5

To add these two numbers, we need to find a common denominator. The common denominator of 3 and 1 is 3.

-2 1/3 can be written as -7/3 using the rule that a mixed number is equal to the sum of the whole number and the fraction.

So, we have:

-7/3 + 5

To add these two fractions, we need to find a common denominator. The common denominator of 3 and 1 is 3.

-7/3 can be written as -7/3 x 1/1 = -7/3.

So, we have:

-7/3 + 15/3 = 8/3

Therefore, -2 1/3 - (-5) = 8/3.

Answer:

25.12 m (or 25.13 m)

Step-by-step explanation:

Recall the formula for the circumference of a circle:

[tex]2\pi r[/tex]

where r is the radius.

We are given that the radius is 4 m, so let's plug that into our formula:

[tex]2\pi r=\\2\pi *4=\\8\pi[/tex]

[tex]\pi[/tex] is approximately 3.14, so let's multiply 8 m by 3.14. We get:

25.12

So, the circumference is about 25.12 m.

(if you multiply by pi itself using a calculator, the answer is about 25.13 m)

ANSWER:

368

EXPLANATION:

youre given:

l=14

w=5

h=5

just plug those into the given formula,

2×(14×5)+2×(14×6)+2×(5×6)

(you should do it yourself to check my math...)

The simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).

We can simplify the expression using the following logarithmic rule:

log a + log b = log ab (product rule)

log a - log b = log(a/b) (quotient rule)

c log a = log a^c (power rule)

Using these rules, we can simplify 7 log3x + 4 log3z - 6 log3y as follows:

7 log3x + 4 log3z - 6 log3y

= log3x^7 + log3z^4 - log3y^6 (using the power rule)

= log3(x^7 z^4 / y^6) (using the quotient rule)

Therefore, the simplified form of 7 log3x + 4 log3z - 6 log3y is log3(x^7 z^4 / y^6).

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Answer: 2

Step-by-step explanation:

Answer:

2 lines of symmetry.

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Answer: $21.25

Step-by-step explanation:
This can be solved using the following formula:

discount = (discount rate) x (regular price) sale price = regular price - discountPlugging in the values you provided:discount = (0.75) x (85) discount = 63.75sale price = 85 - 63.75 sale price = 21.25

Therefore, the sale price of the item is $21.25.

Answer: 1.75

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Since the garden bed looks like the shape of a trapezoid the equation to find the area of a trapezoid is A = 1/2h (base 1 + base 2)

The area is already given so you can just plug it in. Also you can plug in the bases.

21 = 1/2h (3 + 4)

21 = 1/2h (7)  rewrite

21 = 1/2(7)h

21 = 3.5h  Divide both sides by 3.5

6 = h

Therefore, the degree of the given monomial is 11.

In algebra, a monomial is an expression consisting of a single term. A term can be a constant, a variable, or the product of a constant and one or more variables. In other words, a monomial is a polynomial with only one term.  The degree of a monomial is the sum of the exponents of its variables.

Here,

The degree of a monomial is the sum of the exponents of its variables.

For the monomial -3q⁴rs⁶, the degree would be:

4 + 1 + 6 = 11

Therefore, the degree of the monomial -3q⁴rs⁶ is 11.

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Martina is learning different kinds of Latin dance she went to 6 salsa lessons and 12 rumba lessons each lessons cost 4$ let t equal the total number of lesson, the total cost of the lessons is $72.

The problem gives us two pieces of information:

1. Martina attended 6 salsa lessons and 12 rumba lessons, which means she attended a total of 18 lessons in total.

2. Each lesson costs $4.

To find an equation for the total number of lessons (t), we simply add the number of salsa lessons and rumba lessons:

t = 6 + 12

t = 18

So the total number of lessons Martina attended is 18.

To find an equation for the total cost of the lessons (c), we can multiply the total number of lessons by the cost per lesson:

c = t x 4

c = 18 x 4

c = 72

So the total cost of the lessons Martina attended is $72.

Thus, the equation for the total number of lessons is t = 6 + 12 = 18 and the equation for the total cost of the lessons is c = t x 4 = 18 x 4 = 72.

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The rate of change of the amount of laundry with respect to the number of loads is a constant value of -1.6 fluid ounces per load.

Any equation that has terms that are either constants or the product of a constant and a variable of the first degree (exponent 1) is said to be linear. In other words, the equation's greatest degree for any variable is 1. One way to express a linear equation is as follows:

ax + b = 0

If an is not equal to zero, a and b are constants, and x is the variable. This is how a linear equation is typically expressed.

The given function is f(x) = 50 - 1.6x.

Now, the rate of change is the slope of the equation.

Comparing the equation with that of the linear equation y = mx + c we see that the slope is -1.6.

Hence, the rate of change of the amount of laundry with respect to the number of loads is a constant value of -1.6 fluid ounces per load.

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Answer:

To solve this problem using cylindrical coordinates, we need to express the integrand and the limits of integration in terms of cylindrical coordinates. In cylindrical coordinates, a point in 3D space is represented by the radius (r), the angle (theta), and the height (z), where:

x = r cos(theta)

y = r sin(theta)

z = z

The volume element in cylindrical coordinates is given by:

dV = r dr dtheta dz

Now we can write the integral as:

∫∫∫W(x^2+y^2)dV = ∫∫∫W(r^2) r dr dtheta dz

The limits of integration are given by:

0 ≤ z ≤ 2 (since the region of integration is between z=0 and z=2)

0 ≤ r ≤ 5 (since the region of integration is within the circle of radius 5 in the xy-plane)

0 ≤ theta ≤ 2π (since the region of integration extends throughout the entire circle in the xy-plane)

Therefore, we can write the integral as:

∫∫∫W(r^2) r dr dtheta dz

= ∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta

Integrating with respect to z first, we get:

∫0^2 ∫0^5 ∫0^2 (r^2) r dz dr dtheta

= ∫0^2 ∫0^5 [(r^2) r (2-0)] dr dtheta

= 2 ∫0^5 (r^3) dr ∫0^2 dtheta

= 2 (1/4) (5^4) (2)

= 1250

Therefore, the value of the integral is 1250.

Answer: 10 pounds                                               .                                    

Answer:

C. 84.8 m

Step-by-step explanation:

Circumference of circle = D x 3.14

D = 27 m

Let's solve

27 x 3.14 = 84.78 m

So, the circumference of the circle is C. 84.8 m

The graph of the function h(x) is then added as an attachment

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

h(x) = 2|x|

Also, we have

f(x) = |x|

When the function f(x) = |x| is compressed by a factor of 2, we do the following

We multiply 2 to the function equation

So, we have

h(x) = |x| * 2

Evaluate

h(x) = 2|x|

This means that the transformed function is passes through (x, 2y) of the original function

The graph of the function h(x) is then added as an attachment

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Emilee will spend around $3,726 for her wrist surgery once her insurance company pays 70% and she meets the $371 deductible.

Calculating out-of-pocket costs for a medical expense after insurance coverage and deductibles often requires simple arithmetic.

To begin, deduct the deductible from the overall cost of the surgery: $12,791 - $371 = $12,420.

70% of the remaining cost after the deductible is calculated as follows: 70% of $12,420 = $8,694.

Total cost after insurance coverage: $12,420 - $8,694 = $3,726

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When they are at the same altitude, the distance between the planes will be 3962 feet.

Because the air is less dense at high altitudes, planes can fly quicker and consume less fuel. Additionally, at altitudes of 30,000 feet or more, airplanes may steer clear of weather systems, improving the comfort level inside.

The majority of commercial airplanes are permitted to soar as high as 42,000 feet. This upper limit is frequently referred to as a "service ceiling."

The planes will be at the same altitude when t seconds have passed, in which case 25.25t + 2548 = 70.75t,

45.5t = 2548 t = 56 seconds,

and 70.75 * 56 = 3962 feet.

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The correct option is B .solution of given problem with the help of integrating the given function is 3xLn3

The area under a curve in a given range can be calculated mathematically via integration. To locate the region between the curve and the x-axis, it is necessary to find a function's antiderivative and evaluate it twice.

A function is a rule that gives each input value a distinct output value. It can be compared to a machine that processes inputs into outputs in accordance with a predetermined rule or formula.

To find f'(x), we need to take the derivative of f(x), where f(x) is the antiderivative of k(x).

Since k(x) = 3x, we can find f(x) by integrating 3x with respect to x:

f(x) = ∫ 3x dx = 3/2 x² + C

where C is a constant of integration.

Now we can find f'(x) by taking the derivative of f(x):

f'(x) = d/dx (3/2 x² + C) = 3x

Therefore, the answer is (B) 3xLn3. Option (A) is incorrect because there is no natural logarithm term in the derivative of f(x). Option (C) is incorrect because the derivative of 3x is 3, not 3/Ln(x). Option (D) is incorrect because there is no x in the denominator of the natural logarithm term.

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