if 4x+8x=64 what is 2x

Answer:

24°

Step-by-step explanation:

A regular 15-sided figure is 360°

Interior angle = 180°

Exterior angle = 180°

180 + 180 = 360

360° / 15 sides = 24° per side

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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28 quarts are equivalent to 7 gallons

The table represents a proportional relationship or proportional linear function

A proportional linear function is represented as

y = kx

Where

k represents the proportionality constant

y represents the number of quarts

x represents the number of gallons

When x = 14 and y = 56, we have:

56 = 14k

Divide by 14

k = 4

Substitute k = 4 in y = kx

y = 4x

When x = 7, we have

y = 4 * 7

Evaluate

y = 28

Hence, 28 quarts are equivalent to 7 gallons

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Answer:

\(z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462\)  

Now we can find the p value using the alternative hypothesis with this probability:

\(p_v =P(z>0.462)=0.322\)  

Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

Step-by-step explanation:

Information provided

n=100 represent the random sample selected

\(\hat p=0.77\) estimated proportion of students that are satisfied

is the value that we want to test

z would represent the statistic

\(p_v\) represent the p value

System of hypothesis

We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:  

Null hypothesis:\(p\leq 0.75\)  

Alternative hypothesis:\(p > 0.75\)  

The statistic is given by:

\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)  

Replacing the info given we got:

\(z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462\)  

Now we can find the p value using the alternative hypothesis with this probability:

\(p_v =P(z>0.462)=0.322\)  

Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

Answer: 630

Step-by-step explanation:

\(3000 * 21 /100 = 3000 * 0.21 = 630\)

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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The measure of the largest angle is 74°

Answer:

The correct answer will be "0.400 gm".

Step-by-step explanation:

The give values are:

Needs of hospital, N = 0.100 gm

Time, t = 10 days

Minimum amount of Xenon, N₀ = ?

As we know,

⇒  \(N(t)=N_{0} \ e^{-\lambda t}\)

∴  Decay constant, λ = \(\frac{ln2}{t_{1/2}}\)

                                λ = \(\frac{ln2}{5}\)

On putting values, we get

⇒  \(0.100=N_{0} \ e^{-\frac{ln2}{5}}\times 10\)

⇒  \(0.1=N_{0} \ e^{-2ln2} = N_{0} \ e^{-ln4}\)

⇒  \(0.1=N_{0} \ e^{ln\frac{1}{4}}\)

⇒  \(0.1=\frac{N_{0}}{4}\)

⇒  \(N_{0}=0.1\times 4\)

⇒  \(MX_{e}=0.400 \ gm\)

The missing number in the sequence is 39 .

A sequence is a collection of objects where repeats are allowed and the order is important in mathematics.

From the given figure we can see that the vertically opposite numbers are three times one another.

For example:

11 × 3 = 33

12 × 3 = 36

8 × 3 = 24

hence the last unknown number of the sequence will be

13 × 3 = 39

Hence the unknown number of the sequence is 39.

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The way in which this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers is that: D. This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.

A sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly and as such resulting in a sample that is not representative of the entire population.

Generally speaking, a voluntary response sample is a data-collection technique (method) that is always biased because it only include individuals who choose to volunteer, unlike a simple random sample.

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Answer:

Step-by-step explanation:

Square root 24

Real numbers. Irrational numbers. Nothing below that contains Sqrt(24)

-93 is in the integers, rational numbers, real numbers.

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

Answer:

  x = -5

Step-by-step explanation:

You want the solution to the equation 2x -10 = 4x.

Subtracting 2x from both sides gives ...

  -10 = 2x

Dividing both sides by 2 gives ...

  -5 = x

The solution is x = -5.

__

Additional comment

When all of the coefficients have a common factor, sometimes we like to divide the equation by that factor. Here, all of the coefficients are even, so we can start by dividing the equation by 2:

  x -5 =2x

Now subtracting x gives the solution:

  -5 = x

It still takes 2 steps, so the approach you take will be the one you're most comfortable with.

<95141404393>

Your answer is

12y⁹

Hope it helps you

Answer:

\(12y^{9} \)

Step-by-step explanation:

\(( 2y^{7})(6y^{2} )\)

\((6 * 2)(y^{7+2} )\)

\(12y^{9} \)

so the answer is B) \(12y^{9} \)

Answer:

You're answer is 4/7

Step-by-step explanation:

I hope this helps!

Answer:

-8

Step-by-step explanation:

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:

\(x = 1500\)

Step-by-step explanation:

\( \frac{x}{10} = 150\)

Move 10 to multiply 150.

\(x = 150 \times 10 \\ x = 1500\)

Answer Check

Substitute x = 1500 in the equation.

\( \frac{1500}{10} = 150 \\ 150 = 150\)

The equation is true for x = 1500.

Therefore, the answer is x = 1500

Answer:

Step-by-step explanation:

Remark

Area of an entire circle = pi * r^2

Area of a sector = angle / 360 * pi * r^2

Givens

angle = 140

radius = 8

Solution

Area = (140/360) * 3.14 * 8^2

Area =0.3889 * 3.14 * 64

Area = 78.15

Answer:

78.15

Step-by-step explanation:

x = 20 or x = -20

The given equation is:

The equation will be splitted into two and solve differently

For 2x/5 =8

Cross multiply

2x = 8(5)

2x = 40

x = 40/2

x = 20

For 2x/5 = -8

Cross multiply

2x = -8(5)

2x = -40

x = -40/2

x = -20

x = 20 or x = -20

Answer:

5. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

rational numbers and irrational numbers

Step-by-step explanation:

Work done lifting the bucket and rope to the top of the building is 4005.75 Joules

To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd. If the force is being exerted at an angle θ to the displacement, the work done is W = fd cos θ.

Initially bucket hold = 25kg. Sand

Sand leaks 0.1 kgs each meter it is lifted

At height x meter bucket hold = (25 - 0.1x) kg of sand

Length of rope = 15 meter

density of rope = 0.4kg / meter

weight of rope = 15 (0.4) = 6kg.

At height x meter, weight of rope = (6 - 0.4x)

Total weight at height x meter = (25-0.1x) + (6-0.4x)

                                                   = (31 - 0.5x) kg

force = (31-0.5x) g Newtons. = [(31-0.5x) 9.8] Newton

Work = force × displacement

\(Work= \int_{0}^{15}9.8(31-0.5x)dx\)

          \(=9.8[31x-0.5 \frac{x^2}{2} ]_{0}^{15}\)

          \(=9.8[31(15)-0.25(15)^2]-0\)

          \(=4005.75 joules\)

Hence, work done 4005.75 Joules

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Step-by-step explanation:

what is the problem ? what needs to be done ?

all that you are showing here is the definition of a number range.

it means all numbers, for which 1.3 is smaller or equal.

in short, all numbers that are greater or equal to 1.3.

Answer:

-3

Step-by-step explanation:

Answer:

A = $3,198.17

A = P + I where

P (principal) = $1,600.00

I (interest) = $1,598.17

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 7.72/100

r = 0.0772 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 1,600.00(1 + 0.0772/12)(12)(9)

A = 1,600.00(1 + 0.006433333)(108)

A = $3,198.17

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $1,600.00 at a rate of 7.72% per year compounded 12 times per year over 9 years is $3,198.17.

Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)