Solve for x in simplest form 11=3/4(3x+12)

Answer:

cube rooting?

Step-by-step explanation:

like the cubed root of something

Answer:

cube root

the opposite of cubing a number is finding the cube root

Step-by-step explanation:

The height of the rectangle is 16.6 millimeters.

To find the height of a rectangle, we can use the formula for the perimeter of a rectangle, which states that the perimeter is equal to twice the sum of its length and width. In this case, the base of the rectangle is given as 15.8 millimeters, and the perimeter is given as 64.8 millimeters.

Let's denote the height of the rectangle as h. Using the formula, we can express the given information as:

Perimeter = 2 × (Base + Height)

Substituting the given values, we have:

64.8 = 2 × (15.8 + h)

To solve for h, we first simplify the equation by multiplying the values inside the parentheses:

64.8 = 2 × 15.8 + 2 × h

Next, we simplify further:

64.8 = 31.6 + 2h

Subtracting 31.6 from both sides:

64.8 - 31.6 = 2h

33.2 = 2h

To isolate h, we divide both sides by 2:

33.2/2 = h

16.6 = h

For more questions on height

https://brainly.com/question/28990670

#SPJ8

Answer:

77

Step-by-step explanation:

To find the median marks, we first need to arrange the scores in ascending order:

55, 60, 65, 77, 80, 82, 85

Since there are 8 students, the middle value will be the 4th value in the ordered set. In this case, the median marks will be 77

Therefore, the median marks for the 8 students in maths is 77.

The adverb in the sentence "By the end of math class" is "end." Adverbs modify verbs, adjectives, or other adverbs, providing additional information about time, place, manner, degree, or frequency.

In this case, "end" functions as an adverb of time, indicating when the action of the sentence takes place.

Adverbs modify verbs, adjectives, or other adverbs to provide more details about the action being described. In the sentence "By the end of math class," the word "end" is functioning as an adverb of time. It specifies the point in time when the action described in the sentence occurs, which is "by the end" of math class.

Adverbs of time help to establish a specific timeframe or reference point in relation to the main action or event. In this case, "end" indicates the conclusion or completion of math class, pinpointing the moment when something is expected to happen or be completed.

Learn more about math here : brainly.com/question/17387142

#SPJ11

The two triangles are not similar by HL theorem.

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

each small square on the graph is 2 units,

from ΔABC BC = 8 - 4 which is 4

                    AB = 0 -- 8 which is 8

by Pythagoras

AC^2 = AB^2 +BC^2

AC^2 = (8)^2 + (4)^2

AC^2 = 64 + 16

AC^2 = 80

AC = \(\sqrt{80}\) which is 4\(\sqrt{5}\)

In ΔDEF,

DE = 2 --8  which is 10

EF = 6 - 2 which is 4

By Pythagoras

DF^2 = DE^2 + EF^2

DF^2 =(10)^2 + (4)^2

DF^2 = 100 + 16

DF^2 = 116

DF = \(\sqrt{116}\)

The hypotenuse AC is not equal to the hypotenuse DF. Therefore the two triangles are not similar by HL theorem.

In conclusion the two triangles are not similar by HL theorem

Learn more about similar triangles: https;//brainly.com/question/11920446

#SPJ1

A triangle contains three vertices, three sides, and three altitudes. The location where these three sides intersect is known as the orthocenter.

Every triangle has a different position for the orthocenter; for example, an equilateral triangle has the same orthocenter, circumcenter, incenter, and centroid, but other triangles will have a different position.

At Point M is at (1, 3) : The orthocenter is located inside an acute-angled triangle in this scenario.

At Point R is at (3, 9) : The orthocenter is located outside the triangle in the case of an obtuse-angled triangle.

At Point E is at (10, 2) : The orthocenter of a right-angled triangle is located at the right angle's apex.

A triangle is a basic three-sided polygon with three vertices. The "orthocenter of a triangle" is the intersection of a triangle's three altitudes, and it is typically depicted by the letter "H." A line segment drawn perpendicularly from each vertex to the opposite side of a triangle's opposing side is the triangle's height.

Learn more about orthocenter Visit: brainly.com/question/22440007

#SPJ4

The parametric equation of our line is;

x = 1 + 3t

y = -1 + 3t

z = 4 + 8t

We want to find parametric equations for the line through (3, 3, 8) that is perpendicular to the plane x − y + 4z = 5

A vector perpendicular to the plane ax + by + cz + d = 0 is given by (a, b, c).

So a vector perpendicular to the plane x − y + 4z - 5 = 0 is (1, -1, 4)

The parametric equation of a line through (x₀, y₀, z₀) and parallel to the vector (a, b, c) is;

x = x₀ + ta

y = y₀ + tb

z = z₀ + tc

So the parametric equation of our line is;

x = 1 + 3t

y = -1 + 3t

z = 4 + 8t

Read more about Parametric Equations at; https://brainly.com/question/13572531

#SPJ4

Answer:

A: 16\(\pi\)\(cm^{2}\)

B: 112\(\pi\)\(cm^{3}\)

C: 351.68\(cm^{2}\)

Step-by-step explanation:

The cubic inches that can fill the cylinder is \(112\pi\) and the decimal approximation 351.68 cm^3

The given parameters are:

Radius (r) = 4 cm

Height (h) = 7 cm

The area of the base is:

\(A = \pi r^2\)

So, we have:

\(A = \pi *4^2\)

\(A = 16\pi\)

Hence, the area of the base is \(16\pi\)

This is the volume of the cylinder.

So, we have:

\(V = \pi r^2h\)

Substitute known values

\(V = \pi * 4^2 * 7\)

\(V = 112\pi\)

Hence, the cubic inches that can fill the cylinder is \(112\pi\)

We have:

\(V = 112\pi\)

Expand

\(V = 112 * 3.14\)

Evaluate the product

\(V = 351.68\)

Hence, the cubic inches that can fill the cylinder is 351.68 cm^3

Read more about volume at:

https://brainly.com/question/10171109

Answer:

A. To find a linear equation that models the temperature T when crickets are chirping at x chirps per minute, we need to use two points that are known. In this case, we are given that a cricket produces 120 chirps per minute at 70 degrees F and 168 chirps per minute at 80 degrees F. We can use these two points to find the slope and y-intercept of the line.

The slope of a line can be found using the formula: m = (y2 - y1) / (x2 - x1)

In this case, we can substitute the given values to get:

m = (168 - 120) / (80 - 70) = 48/10 = 4.8

The y-intercept of a line can be found using the formula: b = y - mx

We can use the point (70, 120) and the slope that we found to get:

b = 120 - (4.8 * 70) = -264

So the linear equation that models the temperature T when crickets are chirping at x chirps per minute is:

T = 4.8x - 264

B. If the crickets are chirping at 150 chirps per minute, we can substitute this value for x in the equation we found above to estimate the temperature:

T = 4.8x - 264

T = 4.8(150) - 264 = 720 - 264 = 456

So the estimated temperature is 456 degrees F.

C. The y-intercept of the line is -264, it represents the temperature when x (chirps per minutes) is zero. In this case it represents the temperature when the cricket is not chirping which is impossible, so it doesn't have any physical meaning.

H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

Learn more about null hypothesis: https://brainly.com/question/28042334

#SPJ11

Answer:

The Average Speed is 48mph

Step-by-step explanation:

I've done this problem before, I wish A+'s upon all that read this answer. take care man!

The time it takes for Jesse to complete his trip from New York to Boston is 5 hours.

To calculate the time it takes for Jesse's trip from New York to Boston, we need to use the formula: time = distance / speed.

Given that Jesse traveled from Boston to his grandpa Isaac in New York at an average speed of 35 mph, and the trip took him 6 hours, we can determine the distance using the formula: distance = speed × time.

Distance = 35 mph × 6 hours = 210 miles.

Now, for the return trip from New York to Boston, Jesse and Isaac travel at an average speed of 42 mph. To find the time it takes, we divide the distance by the speed:

Time = 210 miles / 42 mph = 5 hours.

Therefore, Jesse's trip from New York to Boston takes 5 hours time.

Read more about time here: https://brainly.com/question/24295081

#SPJ2

Since -1 ≤ cos A ≤ 1, this triangle does not exist, as the cosine of an angle cannot be less than -1.

In a triangle, given a = 6, b = 2 and c = 5, we need to find the angle measures.

We can use the law of cosines to find the unknown angle:

cos A = (b² + c² - a²) / 2bc

Now we can substitute the given values and simplify:

cos A = (2² + 5² - 6²) / (2×2×5)

cos A = -15/20

cos A = -0.75

Since -1 ≤ cos A ≤ 1, this triangle does not exist, as the cosine of an angle cannot be less than -1.

Thus, we would enter NA in each answer area.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ11

The triangle ABC is not valid since the sum of the angles of the triangle must be exactly 180°.

Given data: a = 6, b = 2, c = 5To solve the triangle, we can use the law of cosines.

The law of cosines states that for any triangle ABC with sides a, b, and c, and angle A opposite side a, the following formula holds:

c² = a² + b² - 2abcos( A) Similarly, b² = a² + c² - 2accos( B) And, a² = b² + c² - 2bccos( C)

Solving for the angle A:

cos( A) = (b² + c² - a²)/(2bc)

cos( A) = (2² + 5² - 6²)/(2×2×5)

cos( A) = (4+25-36)/20

cos( A) = -0.35A = cos⁻¹ (-0.35)A

≈ 109.47°

Solving for the angle B:

cos( B) = (a² + c² - b²)/(2ac)

cos( B) = (6² + 5² - 2²)/(2×6×5)

cos( B) = (36+25-4)/60

cos( B) = 0.85B

= cos⁻¹ (0.85)B

≈ 31.8°

Solving for the angle C:

cos( C) = (a² + b² - c²)/(2ab)

cos( C) = (6² + 2² - 5²)/(2×6×2)

cos( C) = (36+4-25)/24

cos( C) = 0.25C

= cos⁻¹ (0.25)C

≈ 75.5°

The angles of the triangle ABC are A ≈ 109.47°, B ≈ 31.8°, and C ≈ 75.5°.

The sum of the angles of the triangle is 216.77°, which is slightly more than 180°.

Therefore, the triangle ABC is not valid since the sum of the angles of the triangle must be exactly 180°.

Therefore, the triangle does not exist. Thus, the answer is NA.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ11

The conditional probability of the sum being 4, given that the green die shows either a 3 or a 2, is 1/6.

To find the conditional probability of the sum being 4, given that the green die is either 3 or 2, we need to use the formula:

P(A|B) = P(A and B) / P(B)

where A is the event of getting a sum of 4 and B is the event of getting either a 3 or 2 on the green die.

First, let's calculate the probability of getting a 3 or 2 on the green die:

P(B) = 1/3 + 1/3 = 2/3

since there are 3 possible outcomes for each die and the green die can either be 3 or 2.

Next, we need to calculate the probability of getting a sum of 4 and a green die of either 3 or 2:

P(A and B) = 2/36

since there are only 2 ways to get a sum of 4 with a green die of either 3 or 2: (1,3) and (2,2).

Now we can plug in the values into the formula:

P(A|B) = (2/36) / (2/3) = 1/18

Therefore, the conditional probability of getting a sum of 4, given that the green die is either 3 or 2, is 1/18.
To find the conditional probability of the indicated event, we'll use the formula:

P(A / B) = P(A / B) / P(B)

Here, event A is the sum of the numbers on the two dice being 4, and event B is the green die showing either a 3 or a 2.

First, let's find P(B). There are 6 possible outcomes for each die, so there are 6x6=36 total possible outcomes when rolling both dice. There are 2 favorable outcomes for event B: the green die showing a 3 or a 2. Therefore, P(B) = 2/6 = 1/3.

Now, let's find P(A / B). This is the probability of both events A and B happening at the same time. For the sum to be 4 and the green die to show a 2, the red die must show a 2. For the sum to be 4 and the green die to show a 3, the red die must show a 1. There are 2 favorable outcomes for P(A /B) out of the 36 possible outcomes. Therefore, P(A ∩ B) = 2/36 = 1/18.

Finally, we can find the conditional probability P(A | B) using the formula:

P(A / B) = P(A / B) / P(B) = (1/18) / (1/3) = (1/18) * (3/1) = 3/18 = 1/6.

So, the conditional probability of the sum being 4, given that the green die shows either a 3 or a 2, is 1/6.

To learn more about probability, click here:

brainly.com/question/30034780

#SPJ11

7(x + 6) − 3 > 1x - 7

7x + 42 − 3 > 1x - 7

7x + 39 > 1x - 7

6x + 39 > -7

6x > -46

x > -7.67

The following transformation that will not prove to be isometric is the dilation. This is the one that will not prove isometric.

Dilation is not isometric because it will enlarge the graph, thus changes the image size.

Rotation, translation, and tesselation won't change the shape and size

Area of a square = x² ( x is the length of a side)

Area = 36cm² = x² = 6²

length of one side of the square in the scale drawing = 6cm

since the diagram is scaled to 1cm : 3ft

the actual length = 6 × 3 ft = 18ft

the actual area = x² = 18² = 324 ft²

the ratio of the area in the drawing to the

actual area is

36 cm² : 324 ft²

to get the simplest ratio we divide both sides by 36 ( as 36 is the factor they both share in common)

the simplest ratio of the area in the drawing to the

actual area is

1 : 9

Hope you understood :)

The value of sin 60° is √3/2. This means that in a 30°-60°-90° triangle, the ratio of the side opposite the 60° angle to the hypotenuse is √3/2.

To explain why sin 60° is √3/2, we need to understand the concept of trigonometric functions and the specific properties of the sine function.

In trigonometry, the sine (sin) function relates an angle in a right triangle to the ratio of the length of the side opposite the angle to the length of the hypotenuse. The sine of an angle is always between -1 and 1.

In a standard 30°-60°-90° right triangle, the side opposite the 60° angle is equal to half the length of the hypotenuse. Let's assume the hypotenuse has a length of 2 units. Then, the opposite side (across from the 60° angle) would have a length of √3 units, based on the Pythagorean theorem.

Using the definition of the sine function, sin 60° = (opposite side length) / (hypotenuse length) = (√3) / 2.

Therefore, the value of sin 60° is √3/2. This means that in a 30°-60°-90° triangle, the ratio of the side opposite the 60° angle to the hypotenuse is √3/2.

Visit here to learn more about hypotenuse:

brainly.com/question/29407794

#SPJ11

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

For more questions on: compound interest

https://brainly.com/question/31474686

#SPJ8

Answer:  3√2

Step-by-step explanation:

The middle line is also 3 so if you use a^2 + b^2 = c^2 you can find the hypotenuse

Answer: A

Step-by-step explanation:

After solving the equation we know that the resultant value of a is 14.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others. In this tutorial, let's study more about math equations.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, we have the equation:

5a + 3-3a = 31

No, solve the equation as follows for 'a:

5a + 3-3a = 31

5a - 3a = 31 - 3

2a = 28

a = 28/2

a = 14

Therefore, after solving the equation we know that the resultant value of a is 14.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

sorry that's all I know

A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

To learn more about Annual Percentage calculation:

https://brainly.com/question/12571149

#SPJ11

Answer:

Below...

Step-by-step explanation:

Scientific Notation:

2.004 × 10-5

Scientific Notation:

1.203 × 10-2

Answer:

1). t ≥ -\(\frac{3}{2}\)

2). k ≥ \(\frac{16}{3}\)

3). y < -\(\frac{1}{2}\)

4). b > \(\frac{250}{9}\)

5). w ≤ 0

Step-by-step explanation:

1). \(14(\frac{1}{2}-t)\leq 28\)

   \(\frac{14}{14}(\frac{1}{2}-t)\leq \frac{28}{14}\)

   \(\frac{1}{2}-t\leq 2\)

   \(-t\leq 2-\frac{1}{2}\)

   \(-t\leq \frac{3}{2}\)

   t ≥ -\(\frac{3}{2}\)

2). 15k + 11 ≤ 18k - 5

   15k - 18k ≤ -5 - 11

   -3k ≤ - 16

   3k ≥ 16

     k ≥ \(\frac{16}{3}\)

3). 44y > 11 + 88y - 22y

    44y > 11 + 66y

    44y - 66y > 11

    -22y > 11

    22y < -11

    \(\frac{22y}{22}<-\frac{11}{22}\)

    y < \(-\frac{1}{2}\)

4). \(\frac{7}{9}(b - 27) > \frac{49}{81}\)

    \(\frac{7}{9}(b - 27)\times \frac{9}{7} > \frac{49}{81}\times \frac{9}{7}\)

     (b - 27) > \(\frac{7}{9}\)

     b > \(\frac{7}{9}+27\)

    b > \(\frac{250}{9}\)

5). 11w - 8w ≥ 14w

    3w - 14w ≥ 0

    -11w ≥ 0

    w ≤ 0

Answer:

I think the answer is c because the arrow has to pointing positive.

Answer: go look on yt there’s a good video on this one

Step-by-step explanation:

Answer: I think it's P.E.M.D.A.S

Step-by-step explanation:

To estimate the maximum error in the area A of the carpet, use the Linear Approximation. Let's use a differentiable function:

f(s) = s². When s = 2 feet, A = f(s) = s² = 4 square feet.

The change in s, Δs = 0.7 inches. We can convert that to feet and get the linear approximation:Δs = 0.7 in = 0.7/12 ft = 0.05833 ft.

A better approximation of the new area A is given by

ΔA = f′(s) Δs = 2s Δs

Since f′(s) = 2s,ΔA = 2s Δs = 4 Δs.

Since s = 2 ft and Δs = 0.05833 ft, we have that the maximum error in A is given by

|ΔA| ≤ 4 Δs = 4(0.05833) = 0.2333 square feet.

Therefore, the maximum error in the area of the carpet is 0.2333 square feet.

The side s of a square carpet is measured at 2 ft, and it's accurate to 0.7 inches. The maximum error in the area A of the carpet is 0.2333 square feet.

To know more about Linear Approximation visit:

brainly.com/question/30403460

#SPJ11